0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.185 * * * [progress]: [2/2] Setting up program. 0.192 * [progress]: [Phase 2 of 3] Improving. 0.192 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.192 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.192 * * [simplify]: iteration 1: (13 enodes) 0.199 * * [simplify]: iteration 2: (57 enodes) 0.238 * * [simplify]: iteration 3: (96 enodes) 0.256 * * [simplify]: iteration 4: (174 enodes) 0.298 * * [simplify]: iteration 5: (354 enodes) 0.404 * * [simplify]: iteration 6: (810 enodes) 1.189 * * [simplify]: Extracting #0: cost 1 inf + 0 1.190 * * [simplify]: Extracting #1: cost 58 inf + 0 1.192 * * [simplify]: Extracting #2: cost 221 inf + 1 1.194 * * [simplify]: Extracting #3: cost 294 inf + 210 1.198 * * [simplify]: Extracting #4: cost 278 inf + 3244 1.210 * * [simplify]: Extracting #5: cost 191 inf + 29132 1.240 * * [simplify]: Extracting #6: cost 44 inf + 140191 1.298 * * [simplify]: Extracting #7: cost 0 inf + 176205 1.366 * * [simplify]: Extracting #8: cost 0 inf + 174839 1.402 * * [simplify]: Extracting #9: cost 0 inf + 173832 1.451 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 1.451 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 1.451 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) 1.457 * * [progress]: iteration 1 / 4 1.457 * * * [progress]: picking best candidate 1.468 * * * * [pick]: Picked # 1.468 * * * [progress]: localizing error 1.493 * * * [progress]: generating rewritten candidates 1.493 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.509 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 1.540 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.562 * * * [progress]: generating series expansions 1.562 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.562 * [backup-simplify]: Simplify (pow (* PI (* n 2)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 1.562 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 1.562 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1.562 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1.562 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1.562 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1.562 * [taylor]: Taking taylor expansion of 1/2 in k 1.562 * [backup-simplify]: Simplify 1/2 into 1/2 1.562 * [taylor]: Taking taylor expansion of (- 1 k) in k 1.562 * [taylor]: Taking taylor expansion of 1 in k 1.562 * [backup-simplify]: Simplify 1 into 1 1.562 * [taylor]: Taking taylor expansion of k in k 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.563 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.563 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.563 * [taylor]: Taking taylor expansion of 2 in k 1.563 * [backup-simplify]: Simplify 2 into 2 1.563 * [taylor]: Taking taylor expansion of (* n PI) in k 1.563 * [taylor]: Taking taylor expansion of n in k 1.563 * [backup-simplify]: Simplify n into n 1.563 * [taylor]: Taking taylor expansion of PI in k 1.563 * [backup-simplify]: Simplify PI into PI 1.563 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.563 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1.563 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1.563 * [backup-simplify]: Simplify (- 0) into 0 1.564 * [backup-simplify]: Simplify (+ 1 0) into 1 1.564 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.564 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1.564 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1.564 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1.564 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1.564 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1.564 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1.564 * [taylor]: Taking taylor expansion of 1/2 in n 1.564 * [backup-simplify]: Simplify 1/2 into 1/2 1.564 * [taylor]: Taking taylor expansion of (- 1 k) in n 1.564 * [taylor]: Taking taylor expansion of 1 in n 1.564 * [backup-simplify]: Simplify 1 into 1 1.564 * [taylor]: Taking taylor expansion of k in n 1.564 * [backup-simplify]: Simplify k into k 1.564 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.564 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.564 * [taylor]: Taking taylor expansion of 2 in n 1.564 * [backup-simplify]: Simplify 2 into 2 1.564 * [taylor]: Taking taylor expansion of (* n PI) in n 1.564 * [taylor]: Taking taylor expansion of n in n 1.564 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [taylor]: Taking taylor expansion of PI in n 1.565 * [backup-simplify]: Simplify PI into PI 1.565 * [backup-simplify]: Simplify (* 0 PI) into 0 1.565 * [backup-simplify]: Simplify (* 2 0) into 0 1.566 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.567 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.568 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.568 * [backup-simplify]: Simplify (- k) into (- k) 1.568 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 1.568 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1.569 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.569 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1.570 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1.570 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1.570 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1.570 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1.570 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1.570 * [taylor]: Taking taylor expansion of 1/2 in n 1.570 * [backup-simplify]: Simplify 1/2 into 1/2 1.570 * [taylor]: Taking taylor expansion of (- 1 k) in n 1.570 * [taylor]: Taking taylor expansion of 1 in n 1.570 * [backup-simplify]: Simplify 1 into 1 1.570 * [taylor]: Taking taylor expansion of k in n 1.570 * [backup-simplify]: Simplify k into k 1.570 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.570 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.570 * [taylor]: Taking taylor expansion of 2 in n 1.570 * [backup-simplify]: Simplify 2 into 2 1.570 * [taylor]: Taking taylor expansion of (* n PI) in n 1.570 * [taylor]: Taking taylor expansion of n in n 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 1 into 1 1.570 * [taylor]: Taking taylor expansion of PI in n 1.570 * [backup-simplify]: Simplify PI into PI 1.571 * [backup-simplify]: Simplify (* 0 PI) into 0 1.571 * [backup-simplify]: Simplify (* 2 0) into 0 1.572 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.573 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.573 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.573 * [backup-simplify]: Simplify (- k) into (- k) 1.573 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 1.573 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1.574 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.575 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1.576 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1.576 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 1.576 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 1.576 * [taylor]: Taking taylor expansion of 1/2 in k 1.576 * [backup-simplify]: Simplify 1/2 into 1/2 1.576 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 1.576 * [taylor]: Taking taylor expansion of (- 1 k) in k 1.576 * [taylor]: Taking taylor expansion of 1 in k 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [taylor]: Taking taylor expansion of k in k 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1.576 * [taylor]: Taking taylor expansion of (log n) in k 1.576 * [taylor]: Taking taylor expansion of n in k 1.576 * [backup-simplify]: Simplify n into n 1.576 * [backup-simplify]: Simplify (log n) into (log n) 1.576 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.576 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.576 * [taylor]: Taking taylor expansion of 2 in k 1.576 * [backup-simplify]: Simplify 2 into 2 1.576 * [taylor]: Taking taylor expansion of PI in k 1.576 * [backup-simplify]: Simplify PI into PI 1.576 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.577 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.577 * [backup-simplify]: Simplify (- 0) into 0 1.577 * [backup-simplify]: Simplify (+ 1 0) into 1 1.578 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.579 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 1.579 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1.580 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1.580 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.582 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1.583 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.583 * [backup-simplify]: Simplify (- 0) into 0 1.583 * [backup-simplify]: Simplify (+ 0 0) into 0 1.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 1.584 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.585 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1.586 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.586 * [taylor]: Taking taylor expansion of 0 in k 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.587 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.588 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [backup-simplify]: Simplify (- 1) into -1 1.589 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.590 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 1.591 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1.593 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.594 * [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))))))) 1.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.596 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.597 * [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 1.598 * [backup-simplify]: Simplify (- 0) into 0 1.598 * [backup-simplify]: Simplify (+ 0 0) into 0 1.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 1.599 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.601 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.602 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.602 * [taylor]: Taking taylor expansion of 0 in k 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.604 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.605 * [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 1.606 * [backup-simplify]: Simplify (+ 0 0) into 0 1.606 * [backup-simplify]: Simplify (- 0) into 0 1.606 * [backup-simplify]: Simplify (+ 0 0) into 0 1.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.611 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 1.617 * [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))))) 1.623 * [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))))) 1.623 * [backup-simplify]: Simplify (pow (* PI (* (/ 1 n) 2)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 1.623 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 1.623 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.623 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.623 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.623 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.623 * [taylor]: Taking taylor expansion of 1/2 in k 1.623 * [backup-simplify]: Simplify 1/2 into 1/2 1.623 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.623 * [taylor]: Taking taylor expansion of 1 in k 1.623 * [backup-simplify]: Simplify 1 into 1 1.623 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.623 * [taylor]: Taking taylor expansion of k in k 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.623 * [backup-simplify]: Simplify (/ 1 1) into 1 1.623 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.623 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.623 * [taylor]: Taking taylor expansion of 2 in k 1.623 * [backup-simplify]: Simplify 2 into 2 1.623 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.624 * [taylor]: Taking taylor expansion of PI in k 1.624 * [backup-simplify]: Simplify PI into PI 1.624 * [taylor]: Taking taylor expansion of n in k 1.624 * [backup-simplify]: Simplify n into n 1.624 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.624 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.624 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.624 * [backup-simplify]: Simplify (- 1) into -1 1.624 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.624 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.625 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.625 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.625 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.625 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.625 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.625 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.625 * [taylor]: Taking taylor expansion of 1/2 in n 1.625 * [backup-simplify]: Simplify 1/2 into 1/2 1.625 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.625 * [taylor]: Taking taylor expansion of 1 in n 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.625 * [taylor]: Taking taylor expansion of k in n 1.625 * [backup-simplify]: Simplify k into k 1.625 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.625 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.625 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.625 * [taylor]: Taking taylor expansion of 2 in n 1.625 * [backup-simplify]: Simplify 2 into 2 1.625 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.625 * [taylor]: Taking taylor expansion of PI in n 1.625 * [backup-simplify]: Simplify PI into PI 1.625 * [taylor]: Taking taylor expansion of n in n 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [backup-simplify]: Simplify (/ PI 1) into PI 1.626 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.626 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.626 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.626 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.626 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.627 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.628 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.628 * [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))))) 1.628 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.628 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.629 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.629 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.629 * [taylor]: Taking taylor expansion of 1/2 in n 1.629 * [backup-simplify]: Simplify 1/2 into 1/2 1.629 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.629 * [taylor]: Taking taylor expansion of 1 in n 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.629 * [taylor]: Taking taylor expansion of k in n 1.629 * [backup-simplify]: Simplify k into k 1.629 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.629 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.629 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.629 * [taylor]: Taking taylor expansion of 2 in n 1.629 * [backup-simplify]: Simplify 2 into 2 1.629 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.629 * [taylor]: Taking taylor expansion of PI in n 1.629 * [backup-simplify]: Simplify PI into PI 1.629 * [taylor]: Taking taylor expansion of n in n 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (/ PI 1) into PI 1.629 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.630 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.630 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.630 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.630 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.631 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.632 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.632 * [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))))) 1.632 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.632 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.633 * [taylor]: Taking taylor expansion of 1/2 in k 1.633 * [backup-simplify]: Simplify 1/2 into 1/2 1.633 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.633 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.633 * [taylor]: Taking taylor expansion of 1 in k 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.633 * [taylor]: Taking taylor expansion of k in k 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (/ 1 1) into 1 1.633 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.633 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.633 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.633 * [taylor]: Taking taylor expansion of 2 in k 1.633 * [backup-simplify]: Simplify 2 into 2 1.633 * [taylor]: Taking taylor expansion of PI in k 1.633 * [backup-simplify]: Simplify PI into PI 1.634 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.635 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.635 * [taylor]: Taking taylor expansion of (log n) in k 1.635 * [taylor]: Taking taylor expansion of n in k 1.635 * [backup-simplify]: Simplify n into n 1.635 * [backup-simplify]: Simplify (log n) into (log n) 1.635 * [backup-simplify]: Simplify (- 1) into -1 1.635 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.635 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.637 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.637 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.638 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.639 * [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))))) 1.641 * [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))))) 1.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.642 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.644 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.644 * [backup-simplify]: Simplify (- 0) into 0 1.645 * [backup-simplify]: Simplify (+ 0 0) into 0 1.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.646 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.647 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.649 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.649 * [taylor]: Taking taylor expansion of 0 in k 1.649 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.655 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.656 * [backup-simplify]: Simplify (- 0) into 0 1.656 * [backup-simplify]: Simplify (+ 0 0) into 0 1.657 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.658 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.660 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.662 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.662 * [taylor]: Taking taylor expansion of 0 in k 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.670 * [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 1.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.670 * [backup-simplify]: Simplify (- 0) into 0 1.670 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.672 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.673 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.675 * [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 1.675 * [taylor]: Taking taylor expansion of 0 in k 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [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)))))) 1.675 * [backup-simplify]: Simplify (pow (* PI (* (/ 1 (- n)) 2)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 1.675 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 1.676 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.676 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.676 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.676 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.676 * [taylor]: Taking taylor expansion of 1/2 in k 1.676 * [backup-simplify]: Simplify 1/2 into 1/2 1.676 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.676 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.676 * [taylor]: Taking taylor expansion of k in k 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 1 into 1 1.676 * [backup-simplify]: Simplify (/ 1 1) into 1 1.676 * [taylor]: Taking taylor expansion of 1 in k 1.676 * [backup-simplify]: Simplify 1 into 1 1.676 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.676 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.676 * [taylor]: Taking taylor expansion of -2 in k 1.676 * [backup-simplify]: Simplify -2 into -2 1.676 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.676 * [taylor]: Taking taylor expansion of PI in k 1.676 * [backup-simplify]: Simplify PI into PI 1.676 * [taylor]: Taking taylor expansion of n in k 1.676 * [backup-simplify]: Simplify n into n 1.676 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.676 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.676 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.676 * [backup-simplify]: Simplify (+ 1 0) into 1 1.677 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.677 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.677 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.677 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.677 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.677 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.677 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.677 * [taylor]: Taking taylor expansion of 1/2 in n 1.677 * [backup-simplify]: Simplify 1/2 into 1/2 1.677 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.677 * [taylor]: Taking taylor expansion of k in n 1.677 * [backup-simplify]: Simplify k into k 1.677 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.677 * [taylor]: Taking taylor expansion of 1 in n 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.677 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.677 * [taylor]: Taking taylor expansion of -2 in n 1.677 * [backup-simplify]: Simplify -2 into -2 1.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.677 * [taylor]: Taking taylor expansion of PI in n 1.677 * [backup-simplify]: Simplify PI into PI 1.677 * [taylor]: Taking taylor expansion of n in n 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (/ PI 1) into PI 1.678 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.678 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.679 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.679 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.679 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.680 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.681 * [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))))) 1.681 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.681 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.681 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.681 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.681 * [taylor]: Taking taylor expansion of 1/2 in n 1.681 * [backup-simplify]: Simplify 1/2 into 1/2 1.681 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.681 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.681 * [taylor]: Taking taylor expansion of k in n 1.681 * [backup-simplify]: Simplify k into k 1.681 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.681 * [taylor]: Taking taylor expansion of 1 in n 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.681 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.681 * [taylor]: Taking taylor expansion of -2 in n 1.681 * [backup-simplify]: Simplify -2 into -2 1.681 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.681 * [taylor]: Taking taylor expansion of PI in n 1.681 * [backup-simplify]: Simplify PI into PI 1.681 * [taylor]: Taking taylor expansion of n in n 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [backup-simplify]: Simplify (/ PI 1) into PI 1.682 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.682 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.682 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.682 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.683 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.684 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.684 * [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))))) 1.685 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.685 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.685 * [taylor]: Taking taylor expansion of 1/2 in k 1.685 * [backup-simplify]: Simplify 1/2 into 1/2 1.685 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.685 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.685 * [taylor]: Taking taylor expansion of k in k 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify 1 into 1 1.685 * [backup-simplify]: Simplify (/ 1 1) into 1 1.685 * [taylor]: Taking taylor expansion of 1 in k 1.685 * [backup-simplify]: Simplify 1 into 1 1.685 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.685 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.685 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.685 * [taylor]: Taking taylor expansion of -2 in k 1.685 * [backup-simplify]: Simplify -2 into -2 1.685 * [taylor]: Taking taylor expansion of PI in k 1.685 * [backup-simplify]: Simplify PI into PI 1.685 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.686 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.686 * [taylor]: Taking taylor expansion of (log n) in k 1.686 * [taylor]: Taking taylor expansion of n in k 1.686 * [backup-simplify]: Simplify n into n 1.686 * [backup-simplify]: Simplify (log n) into (log n) 1.686 * [backup-simplify]: Simplify (+ 1 0) into 1 1.686 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.687 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.688 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.688 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.689 * [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))))) 1.689 * [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))))) 1.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.692 * [backup-simplify]: Simplify (+ 0 0) into 0 1.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.693 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.694 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.695 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.695 * [taylor]: Taking taylor expansion of 0 in k 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.698 * [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 1.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.698 * [backup-simplify]: Simplify (+ 0 0) into 0 1.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.699 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.700 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.702 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.702 * [taylor]: Taking taylor expansion of 0 in k 1.702 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.711 * [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 1.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.712 * [backup-simplify]: Simplify (+ 0 0) into 0 1.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 1.714 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.716 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1.719 * [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 1.719 * [taylor]: Taking taylor expansion of 0 in k 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.725 * [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)))))) 1.725 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 1.725 * [backup-simplify]: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1.725 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1.725 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.725 * [taylor]: Taking taylor expansion of 2 in n 1.725 * [backup-simplify]: Simplify 2 into 2 1.725 * [taylor]: Taking taylor expansion of (* n PI) in n 1.725 * [taylor]: Taking taylor expansion of n in n 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.726 * [taylor]: Taking taylor expansion of PI in n 1.726 * [backup-simplify]: Simplify PI into PI 1.726 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.726 * [taylor]: Taking taylor expansion of 2 in n 1.726 * [backup-simplify]: Simplify 2 into 2 1.726 * [taylor]: Taking taylor expansion of (* n PI) in n 1.726 * [taylor]: Taking taylor expansion of n in n 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 1 into 1 1.726 * [taylor]: Taking taylor expansion of PI in n 1.726 * [backup-simplify]: Simplify PI into PI 1.726 * [backup-simplify]: Simplify (* 0 PI) into 0 1.727 * [backup-simplify]: Simplify (* 2 0) into 0 1.727 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.730 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.730 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.732 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.735 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.735 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.738 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.738 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.741 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1.741 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.744 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1.748 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1.748 * [backup-simplify]: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1.748 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1.748 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.748 * [taylor]: Taking taylor expansion of 2 in n 1.748 * [backup-simplify]: Simplify 2 into 2 1.748 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.748 * [taylor]: Taking taylor expansion of PI in n 1.749 * [backup-simplify]: Simplify PI into PI 1.749 * [taylor]: Taking taylor expansion of n in n 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [backup-simplify]: Simplify (/ PI 1) into PI 1.749 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.749 * [taylor]: Taking taylor expansion of 2 in n 1.749 * [backup-simplify]: Simplify 2 into 2 1.749 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.749 * [taylor]: Taking taylor expansion of PI in n 1.749 * [backup-simplify]: Simplify PI into PI 1.749 * [taylor]: Taking taylor expansion of n in n 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (/ PI 1) into PI 1.750 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.751 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.752 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.752 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.754 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.754 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.756 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.758 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.759 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.760 * [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 1.761 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1.762 * [backup-simplify]: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1.762 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1.762 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.762 * [taylor]: Taking taylor expansion of -2 in n 1.762 * [backup-simplify]: Simplify -2 into -2 1.762 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.762 * [taylor]: Taking taylor expansion of PI in n 1.762 * [backup-simplify]: Simplify PI into PI 1.762 * [taylor]: Taking taylor expansion of n in n 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 1 into 1 1.762 * [backup-simplify]: Simplify (/ PI 1) into PI 1.762 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.762 * [taylor]: Taking taylor expansion of -2 in n 1.762 * [backup-simplify]: Simplify -2 into -2 1.762 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.762 * [taylor]: Taking taylor expansion of PI in n 1.762 * [backup-simplify]: Simplify PI into PI 1.762 * [taylor]: Taking taylor expansion of n in n 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (/ PI 1) into PI 1.763 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.763 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.764 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.765 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.769 * [backup-simplify]: Simplify 0 into 0 1.770 * [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 1.771 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1.771 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.771 * [backup-simplify]: Simplify (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 1.771 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 1.771 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 1.771 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1.771 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1.771 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1.772 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1.772 * [taylor]: Taking taylor expansion of 1/2 in k 1.772 * [backup-simplify]: Simplify 1/2 into 1/2 1.772 * [taylor]: Taking taylor expansion of (- 1 k) in k 1.772 * [taylor]: Taking taylor expansion of 1 in k 1.772 * [backup-simplify]: Simplify 1 into 1 1.772 * [taylor]: Taking taylor expansion of k in k 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 1 into 1 1.772 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.772 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.772 * [taylor]: Taking taylor expansion of 2 in k 1.772 * [backup-simplify]: Simplify 2 into 2 1.772 * [taylor]: Taking taylor expansion of (* n PI) in k 1.772 * [taylor]: Taking taylor expansion of n in k 1.772 * [backup-simplify]: Simplify n into n 1.772 * [taylor]: Taking taylor expansion of PI in k 1.772 * [backup-simplify]: Simplify PI into PI 1.772 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.772 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1.772 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1.772 * [backup-simplify]: Simplify (- 0) into 0 1.772 * [backup-simplify]: Simplify (+ 1 0) into 1 1.773 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.773 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1.773 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1.773 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.773 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.773 * [taylor]: Taking taylor expansion of k in k 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [backup-simplify]: Simplify (/ 1 1) into 1 1.773 * [backup-simplify]: Simplify (sqrt 0) into 0 1.774 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.774 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 1.774 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1.774 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1.774 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1.774 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1.774 * [taylor]: Taking taylor expansion of 1/2 in n 1.774 * [backup-simplify]: Simplify 1/2 into 1/2 1.774 * [taylor]: Taking taylor expansion of (- 1 k) in n 1.774 * [taylor]: Taking taylor expansion of 1 in n 1.774 * [backup-simplify]: Simplify 1 into 1 1.774 * [taylor]: Taking taylor expansion of k in n 1.774 * [backup-simplify]: Simplify k into k 1.774 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.774 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.774 * [taylor]: Taking taylor expansion of 2 in n 1.774 * [backup-simplify]: Simplify 2 into 2 1.775 * [taylor]: Taking taylor expansion of (* n PI) in n 1.775 * [taylor]: Taking taylor expansion of n in n 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [taylor]: Taking taylor expansion of PI in n 1.775 * [backup-simplify]: Simplify PI into PI 1.775 * [backup-simplify]: Simplify (* 0 PI) into 0 1.775 * [backup-simplify]: Simplify (* 2 0) into 0 1.776 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.777 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.777 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.777 * [backup-simplify]: Simplify (- k) into (- k) 1.778 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 1.778 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1.778 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.779 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1.780 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1.780 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.780 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.780 * [taylor]: Taking taylor expansion of k in n 1.780 * [backup-simplify]: Simplify k into k 1.780 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.780 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1.780 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 1.780 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1.780 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1.780 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1.780 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1.780 * [taylor]: Taking taylor expansion of 1/2 in n 1.780 * [backup-simplify]: Simplify 1/2 into 1/2 1.780 * [taylor]: Taking taylor expansion of (- 1 k) in n 1.780 * [taylor]: Taking taylor expansion of 1 in n 1.780 * [backup-simplify]: Simplify 1 into 1 1.780 * [taylor]: Taking taylor expansion of k in n 1.780 * [backup-simplify]: Simplify k into k 1.780 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.780 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.780 * [taylor]: Taking taylor expansion of 2 in n 1.780 * [backup-simplify]: Simplify 2 into 2 1.780 * [taylor]: Taking taylor expansion of (* n PI) in n 1.780 * [taylor]: Taking taylor expansion of n in n 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 1 into 1 1.780 * [taylor]: Taking taylor expansion of PI in n 1.780 * [backup-simplify]: Simplify PI into PI 1.781 * [backup-simplify]: Simplify (* 0 PI) into 0 1.781 * [backup-simplify]: Simplify (* 2 0) into 0 1.782 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.783 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.783 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.783 * [backup-simplify]: Simplify (- k) into (- k) 1.783 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 1.783 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1.784 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.785 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1.785 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.785 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.785 * [taylor]: Taking taylor expansion of k in n 1.785 * [backup-simplify]: Simplify k into k 1.785 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.786 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1.786 * [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))) 1.786 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 1.786 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 1.786 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 1.786 * [taylor]: Taking taylor expansion of 1/2 in k 1.787 * [backup-simplify]: Simplify 1/2 into 1/2 1.787 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 1.787 * [taylor]: Taking taylor expansion of (- 1 k) in k 1.787 * [taylor]: Taking taylor expansion of 1 in k 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [taylor]: Taking taylor expansion of k in k 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1.787 * [taylor]: Taking taylor expansion of (log n) in k 1.787 * [taylor]: Taking taylor expansion of n in k 1.787 * [backup-simplify]: Simplify n into n 1.787 * [backup-simplify]: Simplify (log n) into (log n) 1.787 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.787 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.787 * [taylor]: Taking taylor expansion of 2 in k 1.787 * [backup-simplify]: Simplify 2 into 2 1.787 * [taylor]: Taking taylor expansion of PI in k 1.787 * [backup-simplify]: Simplify PI into PI 1.787 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.788 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.788 * [backup-simplify]: Simplify (- 0) into 0 1.788 * [backup-simplify]: Simplify (+ 1 0) into 1 1.789 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.790 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 1.791 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1.792 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1.792 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.792 * [taylor]: Taking taylor expansion of k in k 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.793 * [backup-simplify]: Simplify (/ 1 1) into 1 1.793 * [backup-simplify]: Simplify (sqrt 0) into 0 1.794 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.795 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.797 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.799 * [backup-simplify]: Simplify (- 0) into 0 1.800 * [backup-simplify]: Simplify (+ 0 0) into 0 1.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 1.802 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.803 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1.804 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.806 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1.806 * [taylor]: Taking taylor expansion of 0 in k 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.807 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [backup-simplify]: Simplify (- 1) into -1 1.810 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.812 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 1.814 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1.817 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.819 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.820 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.821 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.822 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.824 * [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 1.824 * [backup-simplify]: Simplify (- 0) into 0 1.824 * [backup-simplify]: Simplify (+ 0 0) into 0 1.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 1.826 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.827 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.828 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.829 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1.829 * [taylor]: Taking taylor expansion of 0 in k 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.839 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.841 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.844 * [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 1.844 * [backup-simplify]: Simplify (+ 0 0) into 0 1.845 * [backup-simplify]: Simplify (- 0) into 0 1.845 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1.850 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 1.855 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1.858 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1.859 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.860 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.865 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1.866 * [backup-simplify]: Simplify (- 0) into 0 1.866 * [backup-simplify]: Simplify (+ 0 0) into 0 1.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 1.869 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.870 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.873 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.875 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1.875 * [taylor]: Taking taylor expansion of 0 in k 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.883 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 1.884 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.890 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1.890 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [backup-simplify]: Simplify (- 0) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.902 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.914 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.920 * [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)))))))))))))) 1.931 * [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)))))))))))))))))))))) 1.931 * [backup-simplify]: Simplify (/ (pow (* PI (* (/ 1 n) 2)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1.931 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.931 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.931 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.931 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.931 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.931 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.931 * [taylor]: Taking taylor expansion of 1/2 in k 1.931 * [backup-simplify]: Simplify 1/2 into 1/2 1.931 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.931 * [taylor]: Taking taylor expansion of 1 in k 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.931 * [taylor]: Taking taylor expansion of k in k 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.932 * [backup-simplify]: Simplify (/ 1 1) into 1 1.932 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.932 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.932 * [taylor]: Taking taylor expansion of 2 in k 1.932 * [backup-simplify]: Simplify 2 into 2 1.932 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.932 * [taylor]: Taking taylor expansion of PI in k 1.932 * [backup-simplify]: Simplify PI into PI 1.932 * [taylor]: Taking taylor expansion of n in k 1.932 * [backup-simplify]: Simplify n into n 1.932 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.932 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.932 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.932 * [backup-simplify]: Simplify (- 1) into -1 1.932 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.933 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.933 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.933 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.933 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.933 * [taylor]: Taking taylor expansion of k in k 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (sqrt 0) into 0 1.934 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.934 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.934 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.934 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.934 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.934 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.934 * [taylor]: Taking taylor expansion of 1/2 in n 1.934 * [backup-simplify]: Simplify 1/2 into 1/2 1.934 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.934 * [taylor]: Taking taylor expansion of 1 in n 1.934 * [backup-simplify]: Simplify 1 into 1 1.934 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.934 * [taylor]: Taking taylor expansion of k in n 1.934 * [backup-simplify]: Simplify k into k 1.934 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.934 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.934 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.934 * [taylor]: Taking taylor expansion of 2 in n 1.934 * [backup-simplify]: Simplify 2 into 2 1.934 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.934 * [taylor]: Taking taylor expansion of PI in n 1.934 * [backup-simplify]: Simplify PI into PI 1.934 * [taylor]: Taking taylor expansion of n in n 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (/ PI 1) into PI 1.935 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.936 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.936 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.936 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.936 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.937 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.937 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.938 * [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))))) 1.938 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.938 * [taylor]: Taking taylor expansion of k in n 1.938 * [backup-simplify]: Simplify k into k 1.938 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.938 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.938 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.938 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.938 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.938 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.938 * [taylor]: Taking taylor expansion of 1/2 in n 1.938 * [backup-simplify]: Simplify 1/2 into 1/2 1.938 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.938 * [taylor]: Taking taylor expansion of 1 in n 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.938 * [taylor]: Taking taylor expansion of k in n 1.938 * [backup-simplify]: Simplify k into k 1.938 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.938 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.938 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.938 * [taylor]: Taking taylor expansion of 2 in n 1.938 * [backup-simplify]: Simplify 2 into 2 1.938 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.938 * [taylor]: Taking taylor expansion of PI in n 1.938 * [backup-simplify]: Simplify PI into PI 1.938 * [taylor]: Taking taylor expansion of n in n 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.942 * [backup-simplify]: Simplify (/ PI 1) into PI 1.943 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.944 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.944 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.944 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.944 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.945 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.945 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.946 * [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))))) 1.946 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.946 * [taylor]: Taking taylor expansion of k in n 1.946 * [backup-simplify]: Simplify k into k 1.946 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.947 * [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)) 1.947 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.947 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.947 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.947 * [taylor]: Taking taylor expansion of 1/2 in k 1.947 * [backup-simplify]: Simplify 1/2 into 1/2 1.947 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.947 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.947 * [taylor]: Taking taylor expansion of 1 in k 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.947 * [taylor]: Taking taylor expansion of k in k 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (/ 1 1) into 1 1.947 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.947 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.948 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.948 * [taylor]: Taking taylor expansion of 2 in k 1.948 * [backup-simplify]: Simplify 2 into 2 1.948 * [taylor]: Taking taylor expansion of PI in k 1.948 * [backup-simplify]: Simplify PI into PI 1.948 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.948 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.948 * [taylor]: Taking taylor expansion of (log n) in k 1.948 * [taylor]: Taking taylor expansion of n in k 1.948 * [backup-simplify]: Simplify n into n 1.948 * [backup-simplify]: Simplify (log n) into (log n) 1.949 * [backup-simplify]: Simplify (- 1) into -1 1.949 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.949 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.950 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.951 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.952 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.953 * [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))))) 1.953 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.953 * [taylor]: Taking taylor expansion of k in k 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (sqrt 0) into 0 1.955 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.956 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.960 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.960 * [backup-simplify]: Simplify (- 0) into 0 1.961 * [backup-simplify]: Simplify (+ 0 0) into 0 1.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.963 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.964 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.966 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.967 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.967 * [taylor]: Taking taylor expansion of 0 in k 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.968 * [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))))))) 1.969 * [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))))))) 1.970 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.976 * [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 1.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.976 * [backup-simplify]: Simplify (- 0) into 0 1.977 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.979 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.980 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.982 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.984 * [taylor]: Taking taylor expansion of 0 in k 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.989 * [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))))))) 1.990 * [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))))))) 1.991 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.998 * [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 1.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.999 * [backup-simplify]: Simplify (- 0) into 0 2.000 * [backup-simplify]: Simplify (+ 0 0) into 0 2.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 2.002 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 2.004 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 2.007 * [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 2.009 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 2.009 * [taylor]: Taking taylor expansion of 0 in k 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.015 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 2.016 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 2.020 * [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)))))))) 2.020 * [backup-simplify]: Simplify (/ (pow (* PI (* (/ 1 (- n)) 2)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 2.020 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 2.020 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 2.021 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 2.021 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 2.021 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 2.021 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 2.021 * [taylor]: Taking taylor expansion of 1/2 in k 2.021 * [backup-simplify]: Simplify 1/2 into 1/2 2.021 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 2.021 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.021 * [taylor]: Taking taylor expansion of k in k 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify (/ 1 1) into 1 2.021 * [taylor]: Taking taylor expansion of 1 in k 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 2.021 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 2.021 * [taylor]: Taking taylor expansion of -2 in k 2.021 * [backup-simplify]: Simplify -2 into -2 2.021 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.021 * [taylor]: Taking taylor expansion of PI in k 2.021 * [backup-simplify]: Simplify PI into PI 2.021 * [taylor]: Taking taylor expansion of n in k 2.021 * [backup-simplify]: Simplify n into n 2.022 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.022 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 2.022 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 2.022 * [backup-simplify]: Simplify (+ 1 0) into 1 2.023 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.023 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 2.023 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 2.023 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.023 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.023 * [taylor]: Taking taylor expansion of -1 in k 2.023 * [backup-simplify]: Simplify -1 into -1 2.023 * [taylor]: Taking taylor expansion of k in k 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (/ -1 1) into -1 2.024 * [backup-simplify]: Simplify (sqrt 0) into 0 2.025 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.025 * [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))))) 2.025 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 2.026 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 2.026 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 2.026 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 2.026 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 2.026 * [taylor]: Taking taylor expansion of 1/2 in n 2.026 * [backup-simplify]: Simplify 1/2 into 1/2 2.026 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 2.026 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.026 * [taylor]: Taking taylor expansion of k in n 2.026 * [backup-simplify]: Simplify k into k 2.026 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.026 * [taylor]: Taking taylor expansion of 1 in n 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 2.026 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.026 * [taylor]: Taking taylor expansion of -2 in n 2.026 * [backup-simplify]: Simplify -2 into -2 2.026 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.026 * [taylor]: Taking taylor expansion of PI in n 2.026 * [backup-simplify]: Simplify PI into PI 2.026 * [taylor]: Taking taylor expansion of n in n 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (/ PI 1) into PI 2.027 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 2.028 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 2.028 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 2.028 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 2.030 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 2.031 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 2.032 * [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))))) 2.032 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.032 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.032 * [taylor]: Taking taylor expansion of -1 in n 2.032 * [backup-simplify]: Simplify -1 into -1 2.032 * [taylor]: Taking taylor expansion of k in n 2.032 * [backup-simplify]: Simplify k into k 2.032 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 2.032 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 2.032 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 2.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 2.034 * [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))) 2.034 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 2.034 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 2.034 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 2.034 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 2.034 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 2.034 * [taylor]: Taking taylor expansion of 1/2 in n 2.034 * [backup-simplify]: Simplify 1/2 into 1/2 2.034 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 2.034 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.034 * [taylor]: Taking taylor expansion of k in n 2.034 * [backup-simplify]: Simplify k into k 2.034 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.034 * [taylor]: Taking taylor expansion of 1 in n 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 2.034 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.034 * [taylor]: Taking taylor expansion of -2 in n 2.034 * [backup-simplify]: Simplify -2 into -2 2.034 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.034 * [taylor]: Taking taylor expansion of PI in n 2.034 * [backup-simplify]: Simplify PI into PI 2.035 * [taylor]: Taking taylor expansion of n in n 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (/ PI 1) into PI 2.036 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 2.036 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 2.037 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 2.037 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 2.038 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 2.039 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 2.040 * [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))))) 2.040 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.040 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.040 * [taylor]: Taking taylor expansion of -1 in n 2.040 * [backup-simplify]: Simplify -1 into -1 2.040 * [taylor]: Taking taylor expansion of k in n 2.040 * [backup-simplify]: Simplify k into k 2.040 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 2.040 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 2.040 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 2.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 2.042 * [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))) 2.042 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 2.042 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 2.042 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 2.042 * [taylor]: Taking taylor expansion of 1/2 in k 2.042 * [backup-simplify]: Simplify 1/2 into 1/2 2.042 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 2.042 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 2.042 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.042 * [taylor]: Taking taylor expansion of k in k 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (/ 1 1) into 1 2.042 * [taylor]: Taking taylor expansion of 1 in k 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 2.042 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 2.042 * [taylor]: Taking taylor expansion of (* -2 PI) in k 2.042 * [taylor]: Taking taylor expansion of -2 in k 2.042 * [backup-simplify]: Simplify -2 into -2 2.042 * [taylor]: Taking taylor expansion of PI in k 2.042 * [backup-simplify]: Simplify PI into PI 2.043 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 2.044 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 2.044 * [taylor]: Taking taylor expansion of (log n) in k 2.044 * [taylor]: Taking taylor expansion of n in k 2.044 * [backup-simplify]: Simplify n into n 2.044 * [backup-simplify]: Simplify (log n) into (log n) 2.044 * [backup-simplify]: Simplify (+ 1 0) into 1 2.045 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.046 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 2.047 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 2.048 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 2.049 * [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))))) 2.049 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.049 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.049 * [taylor]: Taking taylor expansion of -1 in k 2.049 * [backup-simplify]: Simplify -1 into -1 2.049 * [taylor]: Taking taylor expansion of k in k 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [backup-simplify]: Simplify (/ -1 1) into -1 2.050 * [backup-simplify]: Simplify (sqrt 0) into 0 2.051 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.052 * [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)))))) 2.054 * [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)))))) 2.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 2.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 2.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.058 * [backup-simplify]: Simplify (+ 0 0) into 0 2.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 2.060 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 2.061 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 2.062 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.064 * [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 2.064 * [taylor]: Taking taylor expansion of 0 in k 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.070 * [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))))))) 2.071 * [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))))))) 2.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.073 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 2.077 * [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 2.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.077 * [backup-simplify]: Simplify (+ 0 0) into 0 2.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 2.085 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 2.087 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 2.089 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.089 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.090 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 2.091 * [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 2.091 * [taylor]: Taking taylor expansion of 0 in k 2.091 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.100 * [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))))))) 2.102 * [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))))))) 2.105 * [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)))))))))))) 2.106 * * * [progress]: simplifying candidates 2.106 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 2.106 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 2.106 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 2.106 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 2.106 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 2.106 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 2.106 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 2.106 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 2.106 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 2.106 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 2.106 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 2.106 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 2.107 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 2.107 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 2.107 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 2.107 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 2.107 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 2.107 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 2.107 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 2.107 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 2.107 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 2.107 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 2.107 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 2.107 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 2.107 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 2.108 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 2.108 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 2.108 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 2.108 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 2.108 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 2.108 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 2.108 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 2.108 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 2.108 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 2.108 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 2.108 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 2.108 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 2.108 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 2.108 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 2.108 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #real (real->posit16 (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt k)))> 2.109 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 2.109 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 2.109 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 2.109 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 2.109 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 2.109 * * * * [progress]: [ 46 / 127 ] simplifiying candidate # 2.109 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 2.109 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 2.109 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 2.109 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 2.109 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 2.109 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 2.110 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 2.110 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 2.110 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 2.110 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 2.110 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 2.110 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #real (real->posit16 (* PI (* n 2)))) (/ (- 1 k) 2)) (sqrt k)))> 2.110 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 2.110 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 2.110 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 2.110 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 2.110 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 2.110 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 2.110 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 2.110 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 2.111 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 2.111 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 2.111 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 2.111 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 2.111 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 2.111 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 2.111 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 2.111 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 2.111 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 2.111 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 2.112 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 2.112 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 2.112 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 2.112 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 2.112 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 2.112 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 2.112 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 2.112 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 2.112 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 2.112 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 2.112 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 2.112 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 2.113 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 2.113 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 2.113 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 2.113 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 2.113 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 2.113 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 2.113 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 2.113 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 2.113 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 2.113 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 2.113 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 2.113 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 2.113 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 2.113 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 2.114 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 2.114 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 2.114 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 2.114 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 2.114 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 2.114 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 2.114 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 2.114 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 2.114 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 2.114 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 2.114 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 2.114 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 2.114 * * * * [progress]: [ 115 / 127 ] simplifiying candidate # 2.114 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 2.114 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 2.115 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #real (real->posit16 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))))> 2.115 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 2.115 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 2.115 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 2.115 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 2.115 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 2.115 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 2.115 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 2.115 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 2.115 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 2.117 * [simplify]: Simplifying (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2)), (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2)), (* (log (* PI (* n 2))) (/ (- 1 k) 2)), (* (log (* PI (* n 2))) (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (pow (* PI (* n 2)) (/ 1 2)), (pow (* PI (* n 2)) (/ k 2)), (pow (* PI (* n 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* PI (* n 2)) (sqrt (/ (- 1 k) 2))), (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))), (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* PI (* n 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)), (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* PI (* n 2)) (/ (sqrt (- 1 k)) 1)), (pow (* PI (* n 2)) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* PI (* n 2)) (/ 1 (sqrt 2))), (pow (* PI (* n 2)) (/ 1 1)), (pow (* PI (* n 2)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* PI (* n 2)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))), (pow (* PI (* n 2)) (/ (+ (sqrt 1) (sqrt k)) 1)), (pow (* PI (* n 2)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* PI (* n 2)) (/ (+ 1 (sqrt k)) (sqrt 2))), (pow (* PI (* n 2)) (/ (+ 1 (sqrt k)) 1)), (pow (* PI (* n 2)) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* PI (* n 2)) (/ 1 (sqrt 2))), (pow (* PI (* n 2)) (/ 1 1)), (pow (* PI (* n 2)) 1), (pow (* PI (* n 2)) (- 1 k)), (pow PI (/ (- 1 k) 2)), (pow (* n 2) (/ (- 1 k) 2)), (log (pow (* PI (* n 2)) (/ (- 1 k) 2))), (exp (pow (* PI (* n 2)) (/ (- 1 k) 2))), (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))), (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))), (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2))), (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))), (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))), (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)), (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)), (real->posit16 (pow (* PI (* n 2)) (/ (- 1 k) 2))), (* PI (* n 2)), (* PI (* n 2)), (+ (log PI) (+ (log n) (log 2))), (+ (log PI) (log (* n 2))), (log (* PI (* n 2))), (exp (* PI (* n 2))), (* (* (* PI PI) PI) (* (* (* n n) n) (* (* 2 2) 2))), (* (* (* PI PI) PI) (* (* (* n 2) (* n 2)) (* n 2))), (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))), (cbrt (* PI (* n 2))), (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2))), (sqrt (* PI (* n 2))), (sqrt (* PI (* n 2))), (* PI n), (* (cbrt PI) (* n 2)), (* (sqrt PI) (* n 2)), (* PI (* n 2)), (real->posit16 (* PI (* n 2))), (- (* (+ (log PI) (+ (log n) (log 2))) (/ (- 1 k) 2)) (log (sqrt k))), (- (* (+ (log PI) (log (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))), (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))), (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))), (- (log (pow (* PI (* n 2)) (/ (- 1 k) 2))) (log (sqrt k))), (log (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))), (exp (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))), (/ (* (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))), (* (cbrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))), (cbrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))), (* (* (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))), (sqrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))), (sqrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))), (- (pow (* PI (* n 2)) (/ (- 1 k) 2))), (- (sqrt k)), (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n 2) (/ (- 1 k) 2)) (cbrt (sqrt k))), (/ (pow PI (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (cbrt k))), (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow PI (/ (- 1 k) 2)) (sqrt 1)), (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)), (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow PI (/ (- 1 k) 2)) 1), (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)), (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))), (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))), (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (cbrt k))), (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k))), (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))), (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt 1)), (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k)), (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k))), (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))), (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) 1), (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k)), (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))), (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 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PI))))) (* (log n) k)))))))))))))))))))))), (- (+ (* +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)))))))), (- (+ (* +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)))))))))))) 2.122 * * [simplify]: iteration 1: (290 enodes) 2.268 * * [simplify]: Extracting #0: cost 100 inf + 0 2.269 * * [simplify]: Extracting #1: cost 326 inf + 1 2.270 * * [simplify]: Extracting #2: cost 428 inf + 1125 2.272 * * [simplify]: Extracting #3: cost 397 inf + 19715 2.280 * * [simplify]: Extracting #4: cost 266 inf + 77955 2.295 * * [simplify]: Extracting #5: cost 191 inf + 122410 2.316 * * [simplify]: Extracting #6: cost 144 inf + 145027 2.348 * * [simplify]: Extracting #7: cost 86 inf + 176074 2.391 * * [simplify]: Extracting #8: cost 75 inf + 186485 2.417 * * [simplify]: Extracting #9: cost 69 inf + 193530 2.442 * * [simplify]: Extracting #10: cost 57 inf + 204849 2.470 * * [simplify]: Extracting #11: cost 48 inf + 212429 2.522 * * [simplify]: Extracting #12: cost 37 inf + 219406 2.552 * * [simplify]: Extracting #13: cost 29 inf + 226614 2.584 * * [simplify]: Extracting #14: cost 20 inf + 237158 2.621 * * [simplify]: Extracting #15: cost 9 inf + 252134 2.689 * * [simplify]: Extracting #16: cost 2 inf + 263326 2.732 * * [simplify]: Extracting #17: cost 0 inf + 266678 2.789 * [simplify]: Simplified to (* (/ (- 1 k) 2) (log (* (* 2 n) PI))), (* (/ (- 1 k) 2) (log (* (* 2 n) PI))), (* (/ (- 1 k) 2) (log (* (* 2 n) PI))), (* (/ (- 1 k) 2) (log (* (* 2 n) PI))), (/ (- 1 k) 2), (/ (- 1 k) 2), (/ (- 1 k) 2), (pow (* (* 2 n) PI) 1/2), (pow (* (* 2 n) PI) (/ k 2)), (pow (* (* 2 n) PI) (* (cbrt (/ (- 1 k) 2)) (cbrt 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(+ (log (* 2 PI)) (log n)) 1/2)) (* (* (log n) (log n)) (* k k))) +nan.0) (- (* +nan.0 (* k (exp (* (+ (log (* 2 PI)) (log n)) 1/2)))) (- (* +nan.0 (exp (* (+ (log (* 2 PI)) (log n)) 1/2))) (- (* (* (* (log (* 2 PI)) (log (* 2 PI))) (* (exp (* (+ (log (* 2 PI)) (log n)) 1/2)) (* k k))) +nan.0) (- (* (* (exp (* (+ (log (* 2 PI)) (log n)) 1/2)) (* (* k k) (log n))) +nan.0) (- (* +nan.0 (* (exp (* (+ (log (* 2 PI)) (log n)) 1/2)) (* k k))) (- (* (* (log (* 2 PI)) (* k (exp (* (+ (log (* 2 PI)) (log n)) 1/2)))) +nan.0) (* +nan.0 (* (exp (* (+ (log (* 2 PI)) (log n)) 1/2)) (* (log n) k))))))))))))), (- (- (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) k) (- (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) (* k k)) (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) (* (* k k) k)) +nan.0)))), (- (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* k k)) +nan.0) (* (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))) +nan.0)))) 2.789 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 2.789 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (log (* (* 2 n) PI)))) (sqrt k))) 2.790 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 2.790 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (log (* (* 2 n) PI)))) (sqrt k))) 2.790 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 2.790 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (log (* (* 2 n) PI)))) (sqrt k))) 2.790 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 2.790 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (log (* (* 2 n) PI)))) (sqrt k))) 2.790 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 2.790 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) 2.790 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 2.790 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) 2.790 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 2.791 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) 2.791 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 2.791 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (pow (* (* 2 n) PI) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) 2.791 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 2.791 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 2.791 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k))) 2.791 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 2.791 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 2.791 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 2.791 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k))) 2.792 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 2.792 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k))) 2.792 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 2.792 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)) (sqrt k))) 2.792 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 2.792 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k))) 2.792 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 2.792 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k))) 2.793 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 2.793 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 2.793 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 2.793 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.793 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 2.793 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.793 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 2.793 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k))) 2.793 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 2.793 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt k))) 2.794 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 2.794 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (/ (+ (sqrt k) 1) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt k))) 2.794 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 2.794 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (+ (sqrt k) 1)) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k))) 2.794 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 2.794 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.794 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 2.794 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (/ (+ (sqrt k) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.794 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 2.794 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.795 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 2.795 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.795 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 2.795 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.795 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 2.795 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k))) 2.795 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 2.795 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k))) 2.795 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 2.795 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) (- 1 k)) (/ 1 2)) (sqrt k))) 2.796 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 2.796 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))) 2.796 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (/ (- 1 k) 2)) (pow (* 2 n) (/ (- 1 k) 2))) (sqrt k))) 2.796 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 2.796 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 2.796 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (log (* (* 2 n) PI)))) (sqrt k))) 2.796 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 2.796 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (log (exp (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt k))) 2.796 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 2.796 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt k))) 2.797 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt k))) 2.797 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 2.797 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (* (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))) (sqrt k))) 2.797 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 2.797 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt k))) 2.797 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt k))) 2.798 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 2.798 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 2.798 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 2.798 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 n) PI) (/ (- 1 k) 4))) (sqrt k))) 2.798 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #real (real->posit16 (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt k)))> 2.798 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt k))) 2.798 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 2.798 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) 1) (/ (- 1 k) 2)) (sqrt k))) 2.798 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 2.799 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* 2 n) PI) 1) (/ (- 1 k) 2)) (sqrt k))) 2.799 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 2.799 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 2.799 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (log (* (* 2 n) PI))) (/ (- 1 k) 2)) (sqrt k))) 2.799 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 2.799 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (log (* (* 2 n) PI))) (/ (- 1 k) 2)) (sqrt k))) 2.799 * * * * [progress]: [ 46 / 127 ] simplifiying candidate # 2.799 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (log (* (* 2 n) PI))) (/ (- 1 k) 2)) (sqrt k))) 2.799 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 2.799 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (log (exp (* (* 2 n) PI))) (/ (- 1 k) 2)) (sqrt k))) 2.799 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 2.800 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* PI (* PI PI)) (* (* (* n (* n n)) 4) 2))) (/ (- 1 k) 2)) (sqrt k))) 2.800 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 2.800 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* PI (* PI PI)) (* (* (* 2 n) (* 2 n)) (* 2 n)))) (/ (- 1 k) 2)) (sqrt k))) 2.800 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 2.800 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt (* (* 2 n) PI)) (cbrt (* (* 2 n) PI))) (cbrt (* PI (* n 2)))) (/ (- 1 k) 2)) (sqrt k))) 2.800 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* (* 2 n) PI))) (/ (- 1 k) 2)) (sqrt k))) 2.800 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 2.800 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* 2 n) PI) (* (* (* 2 n) PI) (* (* 2 n) PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.800 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 2.801 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt (* (* 2 n) PI)) (sqrt (* PI (* n 2)))) (/ (- 1 k) 2)) (sqrt k))) 2.801 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (sqrt (* PI (* n 2))) (sqrt (* (* 2 n) PI))) (/ (- 1 k) 2)) (sqrt k))) 2.801 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 2.801 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 2.801 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 2.801 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 2.801 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (* (cbrt PI) (cbrt PI)) (* (* 2 n) (cbrt PI))) (/ (- 1 k) 2)) (sqrt k))) 2.801 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 2.801 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (sqrt PI) (* (* 2 n) (sqrt PI))) (/ (- 1 k) 2)) (sqrt k))) 2.801 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 2.802 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* 1 (* (* 2 n) PI)) (/ (- 1 k) 2)) (sqrt k))) 2.802 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #real (real->posit16 (* PI (* n 2)))) (/ (- 1 k) 2)) (sqrt k)))> 2.802 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* 2 n) PI))) (/ (- 1 k) 2)) (sqrt k))) 2.802 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 2.802 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 2.802 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 2.802 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* 2 n) PI))) (log (sqrt k))))) 2.802 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 2.802 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* 2 n) PI))) (log (sqrt k))))) 2.802 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 2.802 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* 2 n) PI))) (log (sqrt k))))) 2.803 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 2.803 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* 2 n) PI))) (log (sqrt k))))) 2.803 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 2.803 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* 2 n) PI))) (log (sqrt k))))) 2.803 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 2.803 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* 2 n) PI))) (log (sqrt k))))) 2.803 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 2.803 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k))))) 2.803 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 2.804 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (* (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (* k (sqrt k))))) 2.804 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 2.804 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))))) 2.804 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k))))) 2.804 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 2.804 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k))))) 2.804 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 2.804 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))))) 2.805 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k))))) 2.805 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 2.805 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (- (sqrt k)))) 2.805 * [simplify]: Simplified (2 2) to (λ (k n) (/ (- (pow (* PI (* n 2)) (/ (- 1 k) 2))) (- (sqrt k)))) 2.805 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 2.805 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 2.805 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 2.805 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 2.805 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow PI (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 2.806 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow PI (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 2.806 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 2.806 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 2.806 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 2.806 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 2.806 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 2.806 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* 2 n) (/ (- 1 k) 2)) (sqrt k)))) 2.806 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 2.806 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 2.807 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 2.807 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 2.807 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 2.807 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* 2 n) (/ (- 1 k) 2)) (sqrt k)))) 2.807 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 2.807 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 2.807 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 2.808 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 2.808 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 2.808 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 2.808 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 2.808 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 2.808 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 2.808 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 2.809 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k)))) 2.809 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt k)))) 2.809 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 2.809 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 2.809 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 2.809 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 2.809 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (/ (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k)))) 2.810 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt k)))) 2.810 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 2.810 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 2.810 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 2.810 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 2.810 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 2.810 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 2.811 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 2.811 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 2.811 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 2.811 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 2.811 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k)))) 2.811 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt k)))) 2.811 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 2.811 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 2.812 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 2.812 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 2.812 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (sqrt k)))) 2.812 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt k)))) 2.812 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 2.812 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 2.812 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 2.812 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 2.813 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 2.813 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 2.813 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 2.813 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 2.813 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 2.813 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 2.813 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 2.813 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k)))) 2.813 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 2.813 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 2.814 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 2.814 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 2.814 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 2.814 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k)))) 2.814 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 2.814 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) 2.814 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (cbrt (sqrt k))))) 2.814 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 2.814 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))))) 2.815 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (sqrt (cbrt k))))) 2.815 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 2.815 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 2.815 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 2.815 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 2.815 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 2.815 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (sqrt k)))) 2.816 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 2.816 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 2.816 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 2.816 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 2.816 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 2.816 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (sqrt k)))) 2.816 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 2.816 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 2.816 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* PI (* n 2)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 2.817 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 2.817 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))) 2.817 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 2.817 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (sqrt k)))) 2.817 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 2.817 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (fabs (cbrt k))) (sqrt (cbrt k)))) 2.817 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 2.817 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 2.817 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 2.817 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k))) 2.818 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 2.818 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 2.818 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 2.818 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k))) 2.818 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 2.818 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow PI (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 n) (/ (- 1 k) 2))))) 2.818 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 2.818 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))))) 2.818 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 2.818 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))))) 2.819 * * * * [progress]: [ 115 / 127 ] simplifiying candidate # 2.819 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))) 2.819 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 2.819 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* PI (* n 2)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* 2 n) PI) (/ (- 1 k) 4))))) 2.819 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 2.819 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* PI (* n 2)) (/ 1 2)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))) 2.819 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #real (real->posit16 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))))> 2.819 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k))))) 2.819 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 2.819 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (+ (+ (* (* 1/4 (log (* 2 PI))) (* (exp (* (+ (log (* 2 PI)) (log n)) 1/2)) (* (* k k) (log n)))) (* (* (exp (* (+ (log (* 2 PI)) (log n)) 1/2)) (* (* (log n) (log n)) (* k k))) 1/8)) (+ (* (* 1/8 (* (log (* 2 PI)) (log (* 2 PI)))) (* (exp (* (+ (log (* 2 PI)) (log n)) 1/2)) (* k k))) (exp (* (+ (log (* 2 PI)) (log n)) 1/2)))) (* 1/2 (+ (* (exp (* (+ (log (* 2 PI)) (log n)) 1/2)) (* (log n) k)) (* (log (* 2 PI)) (* k (exp (* (+ (log (* 2 PI)) (log n)) 1/2))))))) (sqrt k))) 2.820 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 2.820 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) (sqrt k))) 2.820 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 2.820 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k))) 2.820 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 2.820 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k))) 2.820 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 2.820 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k))) 2.821 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 2.821 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt k))) 2.821 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 2.821 * [simplify]: Simplified (2) to (λ (k n) (- (- (* (* +nan.0 (log (* 2 PI))) (* (exp (* (+ (log (* 2 PI)) (log n)) 1/2)) (* (* k k) (log n)))) (- (* (* +nan.0 (log (* 2 PI))) (* (exp (* (+ (log (* 2 PI)) (log n)) 1/2)) (* k k))) (- (* (* (exp (* (+ (log (* 2 PI)) (log n)) 1/2)) (* (* (log n) (log n)) (* k k))) +nan.0) (- (* +nan.0 (* k (exp (* (+ (log (* 2 PI)) (log n)) 1/2)))) (- (* +nan.0 (exp (* (+ (log (* 2 PI)) (log n)) 1/2))) (- (* (* (* (log (* 2 PI)) (log (* 2 PI))) (* (exp (* (+ (log (* 2 PI)) (log n)) 1/2)) (* k k))) +nan.0) (- (* (* (exp (* (+ (log (* 2 PI)) (log n)) 1/2)) (* (* k k) (log n))) +nan.0) (- (* +nan.0 (* (exp (* (+ (log (* 2 PI)) (log n)) 1/2)) (* k k))) (- (* (* (log (* 2 PI)) (* k (exp (* (+ (log (* 2 PI)) (log n)) 1/2)))) +nan.0) (* +nan.0 (* (exp (* (+ (log (* 2 PI)) (log n)) 1/2)) (* (log n) k)))))))))))))) 2.821 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 2.821 * [simplify]: Simplified (2) to (λ (k n) (- (- (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) k) (- (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) (* k k)) (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) (* (* k k) k)) +nan.0))))) 2.822 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 2.822 * [simplify]: Simplified (2) to (λ (k n) (- (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* k k)) +nan.0) (* (exp (* (* 1/2 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n))))) +nan.0))))) 2.822 * * * [progress]: adding candidates to table 4.224 * * [progress]: iteration 2 / 4 4.224 * * * [progress]: picking best candidate 4.277 * * * * [pick]: Picked # 4.277 * * * [progress]: localizing error 4.328 * * * [progress]: generating rewritten candidates 4.328 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 4.336 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.341 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.372 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.394 * * * [progress]: generating series expansions 4.395 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 4.395 * [backup-simplify]: Simplify (pow (* n 2) (/ (- 1 k) 2)) into (pow (* 2 n) (* 1/2 (- 1 k))) 4.395 * [approximate]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in (n k) around 0 4.395 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in k 4.395 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in k 4.395 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in k 4.395 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 4.395 * [taylor]: Taking taylor expansion of 1/2 in k 4.395 * [backup-simplify]: Simplify 1/2 into 1/2 4.395 * [taylor]: Taking taylor expansion of (- 1 k) in k 4.395 * [taylor]: Taking taylor expansion of 1 in k 4.395 * [backup-simplify]: Simplify 1 into 1 4.395 * [taylor]: Taking taylor expansion of k in k 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 1 into 1 4.395 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k 4.395 * [taylor]: Taking taylor expansion of (* 2 n) in k 4.395 * [taylor]: Taking taylor expansion of 2 in k 4.395 * [backup-simplify]: Simplify 2 into 2 4.395 * [taylor]: Taking taylor expansion of n in k 4.395 * [backup-simplify]: Simplify n into n 4.395 * [backup-simplify]: Simplify (* 2 n) into (* 2 n) 4.395 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n)) 4.396 * [backup-simplify]: Simplify (- 0) into 0 4.397 * [backup-simplify]: Simplify (+ 1 0) into 1 4.397 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.397 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 4.397 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 4.397 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in n 4.397 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in n 4.397 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in n 4.397 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 4.397 * [taylor]: Taking taylor expansion of 1/2 in n 4.397 * [backup-simplify]: Simplify 1/2 into 1/2 4.397 * [taylor]: Taking taylor expansion of (- 1 k) in n 4.397 * [taylor]: Taking taylor expansion of 1 in n 4.397 * [backup-simplify]: Simplify 1 into 1 4.397 * [taylor]: Taking taylor expansion of k in n 4.397 * [backup-simplify]: Simplify k into k 4.397 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 4.398 * [taylor]: Taking taylor expansion of (* 2 n) in n 4.398 * [taylor]: Taking taylor expansion of 2 in n 4.398 * [backup-simplify]: Simplify 2 into 2 4.398 * [taylor]: Taking taylor expansion of n in n 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 1 into 1 4.398 * [backup-simplify]: Simplify (* 2 0) into 0 4.399 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.399 * [backup-simplify]: Simplify (log 2) into (log 2) 4.399 * [backup-simplify]: Simplify (- k) into (- k) 4.399 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 4.399 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 4.400 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 4.401 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) 4.401 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 4.401 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in n 4.401 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in n 4.401 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in n 4.401 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 4.401 * [taylor]: Taking taylor expansion of 1/2 in n 4.401 * [backup-simplify]: Simplify 1/2 into 1/2 4.401 * [taylor]: Taking taylor expansion of (- 1 k) in n 4.401 * [taylor]: Taking taylor expansion of 1 in n 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [taylor]: Taking taylor expansion of k in n 4.402 * [backup-simplify]: Simplify k into k 4.402 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 4.402 * [taylor]: Taking taylor expansion of (* 2 n) in n 4.402 * [taylor]: Taking taylor expansion of 2 in n 4.402 * [backup-simplify]: Simplify 2 into 2 4.402 * [taylor]: Taking taylor expansion of n in n 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify 1 into 1 4.402 * [backup-simplify]: Simplify (* 2 0) into 0 4.403 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.403 * [backup-simplify]: Simplify (log 2) into (log 2) 4.403 * [backup-simplify]: Simplify (- k) into (- k) 4.403 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 4.403 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 4.404 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 4.405 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) 4.405 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 4.405 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) in k 4.405 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) in k 4.405 * [taylor]: Taking taylor expansion of 1/2 in k 4.405 * [backup-simplify]: Simplify 1/2 into 1/2 4.405 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log 2) (log n))) in k 4.405 * [taylor]: Taking taylor expansion of (- 1 k) in k 4.405 * [taylor]: Taking taylor expansion of 1 in k 4.405 * [backup-simplify]: Simplify 1 into 1 4.405 * [taylor]: Taking taylor expansion of k in k 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 1 into 1 4.405 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k 4.406 * [taylor]: Taking taylor expansion of (log 2) in k 4.406 * [taylor]: Taking taylor expansion of 2 in k 4.406 * [backup-simplify]: Simplify 2 into 2 4.406 * [backup-simplify]: Simplify (log 2) into (log 2) 4.406 * [taylor]: Taking taylor expansion of (log n) in k 4.406 * [taylor]: Taking taylor expansion of n in k 4.406 * [backup-simplify]: Simplify n into n 4.406 * [backup-simplify]: Simplify (log n) into (log n) 4.406 * [backup-simplify]: Simplify (- 0) into 0 4.407 * [backup-simplify]: Simplify (+ 1 0) into 1 4.407 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 4.408 * [backup-simplify]: Simplify (* 1 (+ (log 2) (log n))) into (+ (log 2) (log n)) 4.408 * [backup-simplify]: Simplify (* 1/2 (+ (log 2) (log n))) into (* 1/2 (+ (log 2) (log n))) 4.409 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 4.409 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 4.410 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 4.411 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 4.412 * [backup-simplify]: Simplify (- 0) into 0 4.412 * [backup-simplify]: Simplify (+ 0 0) into 0 4.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 4.414 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 4.414 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 4.415 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.415 * [taylor]: Taking taylor expansion of 0 in k 4.415 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 4.417 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.418 * [backup-simplify]: Simplify (+ 0 0) into 0 4.418 * [backup-simplify]: Simplify (- 1) into -1 4.419 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.419 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log 2) (log n)))) into (- (+ (log 2) (log n))) 4.420 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n)))) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 4.422 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 4.423 * [backup-simplify]: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 4.425 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.428 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 4.428 * [backup-simplify]: Simplify (- 0) into 0 4.428 * [backup-simplify]: Simplify (+ 0 0) into 0 4.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 4.430 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 4.431 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 4.433 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.433 * [taylor]: Taking taylor expansion of 0 in k 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 4.438 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.438 * [backup-simplify]: Simplify (+ 0 0) into 0 4.438 * [backup-simplify]: Simplify (- 0) into 0 4.439 * [backup-simplify]: Simplify (+ 0 0) into 0 4.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log 2) (log n))))) into 0 4.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n))))) into 0 4.444 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 4.446 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 4.449 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 4.449 * [backup-simplify]: Simplify (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) 4.449 * [approximate]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 4.449 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in k 4.449 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in k 4.449 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in k 4.449 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 4.449 * [taylor]: Taking taylor expansion of 1/2 in k 4.449 * [backup-simplify]: Simplify 1/2 into 1/2 4.449 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 4.449 * [taylor]: Taking taylor expansion of 1 in k 4.449 * [backup-simplify]: Simplify 1 into 1 4.449 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.449 * [taylor]: Taking taylor expansion of k in k 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 1 into 1 4.449 * [backup-simplify]: Simplify (/ 1 1) into 1 4.449 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k 4.449 * [taylor]: Taking taylor expansion of (/ 2 n) in k 4.449 * [taylor]: Taking taylor expansion of 2 in k 4.449 * [backup-simplify]: Simplify 2 into 2 4.449 * [taylor]: Taking taylor expansion of n in k 4.449 * [backup-simplify]: Simplify n into n 4.449 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n) 4.449 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n)) 4.450 * [backup-simplify]: Simplify (- 1) into -1 4.450 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.450 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 4.450 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 4.450 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) 4.450 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in n 4.450 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in n 4.450 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in n 4.450 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 4.450 * [taylor]: Taking taylor expansion of 1/2 in n 4.450 * [backup-simplify]: Simplify 1/2 into 1/2 4.450 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 4.450 * [taylor]: Taking taylor expansion of 1 in n 4.450 * [backup-simplify]: Simplify 1 into 1 4.450 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.450 * [taylor]: Taking taylor expansion of k in n 4.451 * [backup-simplify]: Simplify k into k 4.451 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.451 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 4.451 * [taylor]: Taking taylor expansion of (/ 2 n) in n 4.451 * [taylor]: Taking taylor expansion of 2 in n 4.451 * [backup-simplify]: Simplify 2 into 2 4.451 * [taylor]: Taking taylor expansion of n in n 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify 1 into 1 4.451 * [backup-simplify]: Simplify (/ 2 1) into 2 4.451 * [backup-simplify]: Simplify (log 2) into (log 2) 4.451 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.451 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 4.451 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 4.452 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 4.452 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 4.452 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 4.452 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in n 4.452 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in n 4.453 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in n 4.453 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 4.453 * [taylor]: Taking taylor expansion of 1/2 in n 4.453 * [backup-simplify]: Simplify 1/2 into 1/2 4.453 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 4.453 * [taylor]: Taking taylor expansion of 1 in n 4.453 * [backup-simplify]: Simplify 1 into 1 4.453 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.453 * [taylor]: Taking taylor expansion of k in n 4.453 * [backup-simplify]: Simplify k into k 4.453 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.453 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 4.453 * [taylor]: Taking taylor expansion of (/ 2 n) in n 4.453 * [taylor]: Taking taylor expansion of 2 in n 4.453 * [backup-simplify]: Simplify 2 into 2 4.453 * [taylor]: Taking taylor expansion of n in n 4.453 * [backup-simplify]: Simplify 0 into 0 4.453 * [backup-simplify]: Simplify 1 into 1 4.453 * [backup-simplify]: Simplify (/ 2 1) into 2 4.453 * [backup-simplify]: Simplify (log 2) into (log 2) 4.453 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.453 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 4.453 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 4.454 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 4.454 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 4.455 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 4.455 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) in k 4.455 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) in k 4.455 * [taylor]: Taking taylor expansion of 1/2 in k 4.455 * [backup-simplify]: Simplify 1/2 into 1/2 4.455 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log 2) (log n))) in k 4.455 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 4.455 * [taylor]: Taking taylor expansion of 1 in k 4.455 * [backup-simplify]: Simplify 1 into 1 4.455 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.455 * [taylor]: Taking taylor expansion of k in k 4.455 * [backup-simplify]: Simplify 0 into 0 4.455 * [backup-simplify]: Simplify 1 into 1 4.455 * [backup-simplify]: Simplify (/ 1 1) into 1 4.455 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k 4.455 * [taylor]: Taking taylor expansion of (log 2) in k 4.455 * [taylor]: Taking taylor expansion of 2 in k 4.455 * [backup-simplify]: Simplify 2 into 2 4.455 * [backup-simplify]: Simplify (log 2) into (log 2) 4.455 * [taylor]: Taking taylor expansion of (log n) in k 4.455 * [taylor]: Taking taylor expansion of n in k 4.455 * [backup-simplify]: Simplify n into n 4.455 * [backup-simplify]: Simplify (log n) into (log n) 4.456 * [backup-simplify]: Simplify (- 1) into -1 4.456 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.456 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.456 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 4.457 * [backup-simplify]: Simplify (* -1 (- (log 2) (log n))) into (* -1 (- (log 2) (log n))) 4.457 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log 2) (log n)))) into (* -1/2 (- (log 2) (log n))) 4.457 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 4.458 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 4.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 4.459 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 4.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.459 * [backup-simplify]: Simplify (- 0) into 0 4.459 * [backup-simplify]: Simplify (+ 0 0) into 0 4.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 4.460 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 4.460 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 4.466 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.466 * [taylor]: Taking taylor expansion of 0 in k 4.466 * [backup-simplify]: Simplify 0 into 0 4.466 * [backup-simplify]: Simplify 0 into 0 4.466 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.468 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 4.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.469 * [backup-simplify]: Simplify (- 0) into 0 4.469 * [backup-simplify]: Simplify (+ 0 0) into 0 4.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 4.470 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 4.471 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 4.472 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.472 * [taylor]: Taking taylor expansion of 0 in k 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.475 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 4.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.476 * [backup-simplify]: Simplify (- 0) into 0 4.476 * [backup-simplify]: Simplify (+ 0 0) into 0 4.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 4.477 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 4.478 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 4.479 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.479 * [taylor]: Taking taylor expansion of 0 in k 4.479 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) 4.480 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) 4.480 * [approximate]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 4.480 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in k 4.480 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in k 4.480 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in k 4.480 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 4.480 * [taylor]: Taking taylor expansion of 1/2 in k 4.480 * [backup-simplify]: Simplify 1/2 into 1/2 4.480 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 4.480 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.480 * [taylor]: Taking taylor expansion of k in k 4.480 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify 1 into 1 4.480 * [backup-simplify]: Simplify (/ 1 1) into 1 4.480 * [taylor]: Taking taylor expansion of 1 in k 4.480 * [backup-simplify]: Simplify 1 into 1 4.480 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k 4.480 * [taylor]: Taking taylor expansion of (/ -2 n) in k 4.480 * [taylor]: Taking taylor expansion of -2 in k 4.480 * [backup-simplify]: Simplify -2 into -2 4.480 * [taylor]: Taking taylor expansion of n in k 4.480 * [backup-simplify]: Simplify n into n 4.480 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 4.481 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n)) 4.481 * [backup-simplify]: Simplify (+ 1 0) into 1 4.481 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.481 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 4.482 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) 4.482 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in n 4.482 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in n 4.482 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in n 4.482 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 4.482 * [taylor]: Taking taylor expansion of 1/2 in n 4.482 * [backup-simplify]: Simplify 1/2 into 1/2 4.482 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 4.482 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.482 * [taylor]: Taking taylor expansion of k in n 4.482 * [backup-simplify]: Simplify k into k 4.482 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.482 * [taylor]: Taking taylor expansion of 1 in n 4.482 * [backup-simplify]: Simplify 1 into 1 4.482 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 4.482 * [taylor]: Taking taylor expansion of (/ -2 n) in n 4.482 * [taylor]: Taking taylor expansion of -2 in n 4.482 * [backup-simplify]: Simplify -2 into -2 4.482 * [taylor]: Taking taylor expansion of n in n 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify 1 into 1 4.483 * [backup-simplify]: Simplify (/ -2 1) into -2 4.483 * [backup-simplify]: Simplify (log -2) into (log -2) 4.483 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 4.483 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 4.484 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 4.484 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 4.485 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 4.485 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in n 4.485 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in n 4.485 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in n 4.485 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 4.485 * [taylor]: Taking taylor expansion of 1/2 in n 4.485 * [backup-simplify]: Simplify 1/2 into 1/2 4.485 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 4.485 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.485 * [taylor]: Taking taylor expansion of k in n 4.485 * [backup-simplify]: Simplify k into k 4.485 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.485 * [taylor]: Taking taylor expansion of 1 in n 4.485 * [backup-simplify]: Simplify 1 into 1 4.485 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 4.485 * [taylor]: Taking taylor expansion of (/ -2 n) in n 4.485 * [taylor]: Taking taylor expansion of -2 in n 4.485 * [backup-simplify]: Simplify -2 into -2 4.486 * [taylor]: Taking taylor expansion of n in n 4.486 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify 1 into 1 4.486 * [backup-simplify]: Simplify (/ -2 1) into -2 4.487 * [backup-simplify]: Simplify (log -2) into (log -2) 4.487 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 4.487 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 4.488 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 4.488 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 4.489 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 4.489 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) in k 4.489 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) in k 4.489 * [taylor]: Taking taylor expansion of 1/2 in k 4.489 * [backup-simplify]: Simplify 1/2 into 1/2 4.489 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -2) (log n))) in k 4.489 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 4.489 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.489 * [taylor]: Taking taylor expansion of k in k 4.489 * [backup-simplify]: Simplify 0 into 0 4.489 * [backup-simplify]: Simplify 1 into 1 4.489 * [backup-simplify]: Simplify (/ 1 1) into 1 4.489 * [taylor]: Taking taylor expansion of 1 in k 4.489 * [backup-simplify]: Simplify 1 into 1 4.489 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k 4.489 * [taylor]: Taking taylor expansion of (log -2) in k 4.489 * [taylor]: Taking taylor expansion of -2 in k 4.489 * [backup-simplify]: Simplify -2 into -2 4.490 * [backup-simplify]: Simplify (log -2) into (log -2) 4.490 * [taylor]: Taking taylor expansion of (log n) in k 4.490 * [taylor]: Taking taylor expansion of n in k 4.490 * [backup-simplify]: Simplify n into n 4.490 * [backup-simplify]: Simplify (log n) into (log n) 4.490 * [backup-simplify]: Simplify (+ 1 0) into 1 4.490 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.491 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 4.491 * [backup-simplify]: Simplify (* 1 (- (log -2) (log n))) into (- (log -2) (log n)) 4.492 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 4.492 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 4.493 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 4.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 4.495 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 4.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.496 * [backup-simplify]: Simplify (+ 0 0) into 0 4.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 4.498 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 4.498 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -2) (log n)))) into 0 4.500 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.500 * [taylor]: Taking taylor expansion of 0 in k 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.504 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 4.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.504 * [backup-simplify]: Simplify (+ 0 0) into 0 4.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 4.506 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 4.507 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 4.509 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.509 * [taylor]: Taking taylor expansion of 0 in k 4.509 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.515 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 4.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.516 * [backup-simplify]: Simplify (+ 0 0) into 0 4.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 4.518 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 4.520 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 4.522 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.522 * [taylor]: Taking taylor expansion of 0 in k 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify 0 into 0 4.523 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) 4.523 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.523 * [backup-simplify]: Simplify (pow PI (/ (- 1 k) 2)) into (pow PI (* 1/2 (- 1 k))) 4.523 * [approximate]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in (k) around 0 4.523 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 4.523 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 4.523 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 4.523 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 4.523 * [taylor]: Taking taylor expansion of 1/2 in k 4.523 * [backup-simplify]: Simplify 1/2 into 1/2 4.523 * [taylor]: Taking taylor expansion of (- 1 k) in k 4.523 * [taylor]: Taking taylor expansion of 1 in k 4.523 * [backup-simplify]: Simplify 1 into 1 4.523 * [taylor]: Taking taylor expansion of k in k 4.523 * [backup-simplify]: Simplify 0 into 0 4.523 * [backup-simplify]: Simplify 1 into 1 4.523 * [taylor]: Taking taylor expansion of (log PI) in k 4.523 * [taylor]: Taking taylor expansion of PI in k 4.523 * [backup-simplify]: Simplify PI into PI 4.524 * [backup-simplify]: Simplify (log PI) into (log PI) 4.524 * [backup-simplify]: Simplify (- 0) into 0 4.525 * [backup-simplify]: Simplify (+ 1 0) into 1 4.525 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.526 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 4.528 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 4.528 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 4.528 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 4.528 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 4.528 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 4.528 * [taylor]: Taking taylor expansion of 1/2 in k 4.528 * [backup-simplify]: Simplify 1/2 into 1/2 4.528 * [taylor]: Taking taylor expansion of (- 1 k) in k 4.528 * [taylor]: Taking taylor expansion of 1 in k 4.528 * [backup-simplify]: Simplify 1 into 1 4.528 * [taylor]: Taking taylor expansion of k in k 4.528 * [backup-simplify]: Simplify 0 into 0 4.528 * [backup-simplify]: Simplify 1 into 1 4.528 * [taylor]: Taking taylor expansion of (log PI) in k 4.528 * [taylor]: Taking taylor expansion of PI in k 4.528 * [backup-simplify]: Simplify PI into PI 4.528 * [backup-simplify]: Simplify (log PI) into (log PI) 4.529 * [backup-simplify]: Simplify (- 0) into 0 4.529 * [backup-simplify]: Simplify (+ 1 0) into 1 4.530 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.531 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 4.532 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 4.533 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2) 4.534 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.535 * [backup-simplify]: Simplify (- 1) into -1 4.535 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.536 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 4.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 4.548 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 4.550 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 4.553 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 4.553 * [backup-simplify]: Simplify (- 0) into 0 4.554 * [backup-simplify]: Simplify (+ 0 0) into 0 4.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 4.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 4.568 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 4.571 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 4.577 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 4.578 * [backup-simplify]: Simplify (pow PI (/ (- 1 (/ 1 k)) 2)) into (pow PI (* 1/2 (- 1 (/ 1 k)))) 4.578 * [approximate]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in (k) around 0 4.578 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 4.578 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 4.578 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 4.578 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 4.578 * [taylor]: Taking taylor expansion of 1/2 in k 4.578 * [backup-simplify]: Simplify 1/2 into 1/2 4.578 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 4.578 * [taylor]: Taking taylor expansion of 1 in k 4.578 * [backup-simplify]: Simplify 1 into 1 4.578 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.578 * [taylor]: Taking taylor expansion of k in k 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 1 into 1 4.578 * [backup-simplify]: Simplify (/ 1 1) into 1 4.578 * [taylor]: Taking taylor expansion of (log PI) in k 4.578 * [taylor]: Taking taylor expansion of PI in k 4.579 * [backup-simplify]: Simplify PI into PI 4.579 * [backup-simplify]: Simplify (log PI) into (log PI) 4.579 * [backup-simplify]: Simplify (- 1) into -1 4.580 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.580 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 4.581 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 4.582 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 4.582 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 4.582 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 4.582 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 4.582 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 4.582 * [taylor]: Taking taylor expansion of 1/2 in k 4.582 * [backup-simplify]: Simplify 1/2 into 1/2 4.582 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 4.582 * [taylor]: Taking taylor expansion of 1 in k 4.582 * [backup-simplify]: Simplify 1 into 1 4.582 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.582 * [taylor]: Taking taylor expansion of k in k 4.582 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify 1 into 1 4.582 * [backup-simplify]: Simplify (/ 1 1) into 1 4.582 * [taylor]: Taking taylor expansion of (log PI) in k 4.582 * [taylor]: Taking taylor expansion of PI in k 4.582 * [backup-simplify]: Simplify PI into PI 4.583 * [backup-simplify]: Simplify (log PI) into (log PI) 4.583 * [backup-simplify]: Simplify (- 1) into -1 4.584 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.584 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 4.585 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 4.585 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 4.586 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 4.587 * [backup-simplify]: Simplify (pow PI (/ (- 1 (/ 1 (- k))) 2)) into (pow PI (* 1/2 (+ (/ 1 k) 1))) 4.587 * [approximate]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in (k) around 0 4.587 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 4.587 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 4.587 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 4.587 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 4.587 * [taylor]: Taking taylor expansion of 1/2 in k 4.587 * [backup-simplify]: Simplify 1/2 into 1/2 4.587 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 4.587 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.587 * [taylor]: Taking taylor expansion of k in k 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 1 into 1 4.588 * [backup-simplify]: Simplify (/ 1 1) into 1 4.588 * [taylor]: Taking taylor expansion of 1 in k 4.588 * [backup-simplify]: Simplify 1 into 1 4.588 * [taylor]: Taking taylor expansion of (log PI) in k 4.588 * [taylor]: Taking taylor expansion of PI in k 4.588 * [backup-simplify]: Simplify PI into PI 4.588 * [backup-simplify]: Simplify (log PI) into (log PI) 4.589 * [backup-simplify]: Simplify (+ 1 0) into 1 4.589 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.590 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 4.591 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 4.591 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 4.591 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 4.591 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 4.591 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 4.591 * [taylor]: Taking taylor expansion of 1/2 in k 4.591 * [backup-simplify]: Simplify 1/2 into 1/2 4.591 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 4.591 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.591 * [taylor]: Taking taylor expansion of k in k 4.591 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify 1 into 1 4.591 * [backup-simplify]: Simplify (/ 1 1) into 1 4.591 * [taylor]: Taking taylor expansion of 1 in k 4.591 * [backup-simplify]: Simplify 1 into 1 4.591 * [taylor]: Taking taylor expansion of (log PI) in k 4.591 * [taylor]: Taking taylor expansion of PI in k 4.591 * [backup-simplify]: Simplify PI into PI 4.592 * [backup-simplify]: Simplify (log PI) into (log PI) 4.592 * [backup-simplify]: Simplify (+ 1 0) into 1 4.593 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.593 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 4.594 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 4.594 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 4.594 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.595 * [backup-simplify]: Simplify (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) into (* (* (pow PI (* 1/2 (- 1 k))) (pow (* 2 n) (* 1/2 (- 1 k)))) (sqrt (/ 1 k))) 4.595 * [approximate]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 k))) (pow (* 2 n) (* 1/2 (- 1 k)))) (sqrt (/ 1 k))) in (k n) around 0 4.595 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 k))) (pow (* 2 n) (* 1/2 (- 1 k)))) (sqrt (/ 1 k))) in n 4.595 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (pow (* 2 n) (* 1/2 (- 1 k)))) in n 4.595 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in n 4.595 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in n 4.595 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in n 4.595 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 4.595 * [taylor]: Taking taylor expansion of 1/2 in n 4.595 * [backup-simplify]: Simplify 1/2 into 1/2 4.595 * [taylor]: Taking taylor expansion of (- 1 k) in n 4.595 * [taylor]: Taking taylor expansion of 1 in n 4.595 * [backup-simplify]: Simplify 1 into 1 4.595 * [taylor]: Taking taylor expansion of k in n 4.595 * [backup-simplify]: Simplify k into k 4.595 * [taylor]: Taking taylor expansion of (log PI) in n 4.595 * [taylor]: Taking taylor expansion of PI in n 4.595 * [backup-simplify]: Simplify PI into PI 4.595 * [backup-simplify]: Simplify (log PI) into (log PI) 4.595 * [backup-simplify]: Simplify (- k) into (- k) 4.595 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 4.595 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 4.596 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log PI)) into (* 1/2 (* (- 1 k) (log PI))) 4.596 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 4.596 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in n 4.596 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in n 4.596 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in n 4.596 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 4.596 * [taylor]: Taking taylor expansion of 1/2 in n 4.596 * [backup-simplify]: Simplify 1/2 into 1/2 4.596 * [taylor]: Taking taylor expansion of (- 1 k) in n 4.596 * [taylor]: Taking taylor expansion of 1 in n 4.596 * [backup-simplify]: Simplify 1 into 1 4.596 * [taylor]: Taking taylor expansion of k in n 4.596 * [backup-simplify]: Simplify k into k 4.596 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 4.596 * [taylor]: Taking taylor expansion of (* 2 n) in n 4.596 * [taylor]: Taking taylor expansion of 2 in n 4.596 * [backup-simplify]: Simplify 2 into 2 4.596 * [taylor]: Taking taylor expansion of n in n 4.596 * [backup-simplify]: Simplify 0 into 0 4.596 * [backup-simplify]: Simplify 1 into 1 4.596 * [backup-simplify]: Simplify (* 2 0) into 0 4.597 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.597 * [backup-simplify]: Simplify (log 2) into (log 2) 4.597 * [backup-simplify]: Simplify (- k) into (- k) 4.597 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 4.597 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 4.598 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 4.603 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) 4.603 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 4.603 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.603 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.603 * [taylor]: Taking taylor expansion of k in n 4.603 * [backup-simplify]: Simplify k into k 4.604 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.604 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.604 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 k))) (pow (* 2 n) (* 1/2 (- 1 k)))) (sqrt (/ 1 k))) in k 4.604 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (pow (* 2 n) (* 1/2 (- 1 k)))) in k 4.604 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 4.604 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 4.604 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 4.604 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 4.604 * [taylor]: Taking taylor expansion of 1/2 in k 4.604 * [backup-simplify]: Simplify 1/2 into 1/2 4.604 * [taylor]: Taking taylor expansion of (- 1 k) in k 4.604 * [taylor]: Taking taylor expansion of 1 in k 4.604 * [backup-simplify]: Simplify 1 into 1 4.604 * [taylor]: Taking taylor expansion of k in k 4.604 * [backup-simplify]: Simplify 0 into 0 4.604 * [backup-simplify]: Simplify 1 into 1 4.604 * [taylor]: Taking taylor expansion of (log PI) in k 4.604 * [taylor]: Taking taylor expansion of PI in k 4.604 * [backup-simplify]: Simplify PI into PI 4.604 * [backup-simplify]: Simplify (log PI) into (log PI) 4.605 * [backup-simplify]: Simplify (- 0) into 0 4.605 * [backup-simplify]: Simplify (+ 1 0) into 1 4.605 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.606 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 4.607 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 4.607 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in k 4.607 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in k 4.607 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in k 4.607 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 4.607 * [taylor]: Taking taylor expansion of 1/2 in k 4.607 * [backup-simplify]: Simplify 1/2 into 1/2 4.607 * [taylor]: Taking taylor expansion of (- 1 k) in k 4.607 * [taylor]: Taking taylor expansion of 1 in k 4.607 * [backup-simplify]: Simplify 1 into 1 4.607 * [taylor]: Taking taylor expansion of k in k 4.607 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify 1 into 1 4.607 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k 4.607 * [taylor]: Taking taylor expansion of (* 2 n) in k 4.607 * [taylor]: Taking taylor expansion of 2 in k 4.607 * [backup-simplify]: Simplify 2 into 2 4.607 * [taylor]: Taking taylor expansion of n in k 4.607 * [backup-simplify]: Simplify n into n 4.607 * [backup-simplify]: Simplify (* 2 n) into (* 2 n) 4.607 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n)) 4.607 * [backup-simplify]: Simplify (- 0) into 0 4.608 * [backup-simplify]: Simplify (+ 1 0) into 1 4.608 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.608 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 4.608 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 4.608 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.608 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.608 * [taylor]: Taking taylor expansion of k in k 4.608 * [backup-simplify]: Simplify 0 into 0 4.608 * [backup-simplify]: Simplify 1 into 1 4.609 * [backup-simplify]: Simplify (/ 1 1) into 1 4.609 * [backup-simplify]: Simplify (sqrt 0) into 0 4.610 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.610 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 k))) (pow (* 2 n) (* 1/2 (- 1 k)))) (sqrt (/ 1 k))) in k 4.610 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (pow (* 2 n) (* 1/2 (- 1 k)))) in k 4.610 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 4.610 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 4.610 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 4.610 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 4.610 * [taylor]: Taking taylor expansion of 1/2 in k 4.610 * [backup-simplify]: Simplify 1/2 into 1/2 4.610 * [taylor]: Taking taylor expansion of (- 1 k) in k 4.610 * [taylor]: Taking taylor expansion of 1 in k 4.610 * [backup-simplify]: Simplify 1 into 1 4.610 * [taylor]: Taking taylor expansion of k in k 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify 1 into 1 4.610 * [taylor]: Taking taylor expansion of (log PI) in k 4.610 * [taylor]: Taking taylor expansion of PI in k 4.610 * [backup-simplify]: Simplify PI into PI 4.610 * [backup-simplify]: Simplify (log PI) into (log PI) 4.611 * [backup-simplify]: Simplify (- 0) into 0 4.611 * [backup-simplify]: Simplify (+ 1 0) into 1 4.611 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.612 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 4.613 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 4.613 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in k 4.613 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in k 4.613 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in k 4.613 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 4.613 * [taylor]: Taking taylor expansion of 1/2 in k 4.613 * [backup-simplify]: Simplify 1/2 into 1/2 4.613 * [taylor]: Taking taylor expansion of (- 1 k) in k 4.613 * [taylor]: Taking taylor expansion of 1 in k 4.613 * [backup-simplify]: Simplify 1 into 1 4.613 * [taylor]: Taking taylor expansion of k in k 4.613 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify 1 into 1 4.613 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k 4.613 * [taylor]: Taking taylor expansion of (* 2 n) in k 4.613 * [taylor]: Taking taylor expansion of 2 in k 4.613 * [backup-simplify]: Simplify 2 into 2 4.613 * [taylor]: Taking taylor expansion of n in k 4.613 * [backup-simplify]: Simplify n into n 4.613 * [backup-simplify]: Simplify (* 2 n) into (* 2 n) 4.613 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n)) 4.613 * [backup-simplify]: Simplify (- 0) into 0 4.613 * [backup-simplify]: Simplify (+ 1 0) into 1 4.614 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.614 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 4.614 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 4.614 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.614 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.614 * [taylor]: Taking taylor expansion of k in k 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 1 into 1 4.614 * [backup-simplify]: Simplify (/ 1 1) into 1 4.614 * [backup-simplify]: Simplify (sqrt 0) into 0 4.615 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.616 * [backup-simplify]: Simplify (* (pow PI 1/2) (pow (* 2 n) 1/2)) into (sqrt (* n (* PI 2))) 4.616 * [backup-simplify]: Simplify (* (sqrt (* n (* PI 2))) 0) into 0 4.616 * [taylor]: Taking taylor expansion of 0 in n 4.616 * [backup-simplify]: Simplify 0 into 0 4.616 * [backup-simplify]: Simplify 0 into 0 4.616 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 n)) into 0 4.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 4.617 * [backup-simplify]: Simplify (- 1) into -1 4.617 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.618 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 4.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 4.618 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 4.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.619 * [backup-simplify]: Simplify (- 1) into -1 4.620 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.620 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 4.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 4.627 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 4.628 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* -1/2 (* (sqrt (* n 2)) (log (* 2 n))))) (* (* -1/2 (* (log PI) (sqrt PI))) (pow (* 2 n) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 4.631 * [backup-simplify]: Simplify (+ (* (sqrt (* n (* PI 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 4.631 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 4.631 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 4.631 * [taylor]: Taking taylor expansion of +nan.0 in n 4.632 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.632 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 4.632 * [taylor]: Taking taylor expansion of (sqrt 2) in n 4.632 * [taylor]: Taking taylor expansion of 2 in n 4.632 * [backup-simplify]: Simplify 2 into 2 4.632 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.633 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 4.633 * [taylor]: Taking taylor expansion of (* n PI) in n 4.633 * [taylor]: Taking taylor expansion of n in n 4.633 * [backup-simplify]: Simplify 0 into 0 4.633 * [backup-simplify]: Simplify 1 into 1 4.633 * [taylor]: Taking taylor expansion of PI in n 4.633 * [backup-simplify]: Simplify PI into PI 4.633 * [backup-simplify]: Simplify (* 0 PI) into 0 4.635 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.635 * [backup-simplify]: Simplify (sqrt 0) into 0 4.637 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 4.637 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 4.638 * [backup-simplify]: Simplify (* +nan.0 0) into 0 4.638 * [backup-simplify]: Simplify (- 0) into 0 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify 0 into 0 4.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.641 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.642 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 4.643 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 4.643 * [backup-simplify]: Simplify (- 0) into 0 4.644 * [backup-simplify]: Simplify (+ 0 0) into 0 4.644 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 4.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 4.646 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 4.647 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 4.648 * [backup-simplify]: Simplify (- 0) into 0 4.648 * [backup-simplify]: Simplify (+ 0 0) into 0 4.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 4.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 4.656 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 4.660 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* -1/2 (* (sqrt (* n 2)) (log (* 2 n))))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow (* 2 n) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log (* 2 n)))) (sqrt (* n PI)))))) 4.664 * [backup-simplify]: Simplify (+ (* (sqrt (* n (* PI 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log (* 2 n)))) (sqrt (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 4.664 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 4.664 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 4.664 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 4.664 * [taylor]: Taking taylor expansion of +nan.0 in n 4.664 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.664 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 4.664 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 4.664 * [taylor]: Taking taylor expansion of (sqrt 2) in n 4.664 * [taylor]: Taking taylor expansion of 2 in n 4.664 * [backup-simplify]: Simplify 2 into 2 4.665 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.665 * [taylor]: Taking taylor expansion of (log PI) in n 4.665 * [taylor]: Taking taylor expansion of PI in n 4.665 * [backup-simplify]: Simplify PI into PI 4.665 * [backup-simplify]: Simplify (log PI) into (log PI) 4.665 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 4.665 * [taylor]: Taking taylor expansion of (* PI n) in n 4.665 * [taylor]: Taking taylor expansion of PI in n 4.665 * [backup-simplify]: Simplify PI into PI 4.665 * [taylor]: Taking taylor expansion of n in n 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify 1 into 1 4.666 * [backup-simplify]: Simplify (* PI 0) into 0 4.667 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 4.667 * [backup-simplify]: Simplify (sqrt 0) into 0 4.668 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 4.668 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 4.668 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 4.668 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 4.668 * [taylor]: Taking taylor expansion of +nan.0 in n 4.668 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.668 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 4.668 * [taylor]: Taking taylor expansion of (sqrt 2) in n 4.668 * [taylor]: Taking taylor expansion of 2 in n 4.668 * [backup-simplify]: Simplify 2 into 2 4.668 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.669 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 4.669 * [taylor]: Taking taylor expansion of (* n PI) in n 4.669 * [taylor]: Taking taylor expansion of n in n 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 1 into 1 4.669 * [taylor]: Taking taylor expansion of PI in n 4.669 * [backup-simplify]: Simplify PI into PI 4.669 * [backup-simplify]: Simplify (* 0 PI) into 0 4.670 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.670 * [backup-simplify]: Simplify (sqrt 0) into 0 4.671 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 4.671 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 4.671 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 4.671 * [taylor]: Taking taylor expansion of +nan.0 in n 4.671 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.671 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 4.671 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 4.671 * [taylor]: Taking taylor expansion of (sqrt 2) in n 4.671 * [taylor]: Taking taylor expansion of 2 in n 4.671 * [backup-simplify]: Simplify 2 into 2 4.671 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.672 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 4.672 * [taylor]: Taking taylor expansion of (* 2 n) in n 4.672 * [taylor]: Taking taylor expansion of 2 in n 4.672 * [backup-simplify]: Simplify 2 into 2 4.672 * [taylor]: Taking taylor expansion of n in n 4.672 * [backup-simplify]: Simplify 0 into 0 4.672 * [backup-simplify]: Simplify 1 into 1 4.672 * [backup-simplify]: Simplify (* 2 0) into 0 4.673 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.673 * [backup-simplify]: Simplify (log 2) into (log 2) 4.673 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 4.673 * [taylor]: Taking taylor expansion of (* PI n) in n 4.673 * [taylor]: Taking taylor expansion of PI in n 4.673 * [backup-simplify]: Simplify PI into PI 4.673 * [taylor]: Taking taylor expansion of n in n 4.673 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify 1 into 1 4.673 * [backup-simplify]: Simplify (* PI 0) into 0 4.675 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 4.675 * [backup-simplify]: Simplify (sqrt 0) into 0 4.677 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 4.678 * [backup-simplify]: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 4.679 * [backup-simplify]: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 4.679 * [backup-simplify]: Simplify (* +nan.0 0) into 0 4.680 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 4.680 * [backup-simplify]: Simplify (* +nan.0 0) into 0 4.681 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 4.682 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 4.682 * [backup-simplify]: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 4.682 * [backup-simplify]: Simplify (* +nan.0 0) into 0 4.683 * [backup-simplify]: Simplify (- 0) into 0 4.683 * [backup-simplify]: Simplify (+ 0 0) into 0 4.683 * [backup-simplify]: Simplify (- 0) into 0 4.683 * [backup-simplify]: Simplify (+ 0 0) into 0 4.683 * [backup-simplify]: Simplify (- 0) into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 4.688 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 4.690 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 4.692 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 4.692 * [backup-simplify]: Simplify 0 into 0 4.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.695 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 4.702 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 4.702 * [backup-simplify]: Simplify (- 0) into 0 4.703 * [backup-simplify]: Simplify (+ 0 0) into 0 4.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 4.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 4.705 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 4.708 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 4.709 * [backup-simplify]: Simplify (- 0) into 0 4.709 * [backup-simplify]: Simplify (+ 0 0) into 0 4.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 4.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 4.728 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 4.736 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2)))) (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (* -1/2 (* (sqrt (* n 2)) (log (* 2 n))))) (* (* -1/48 (* (pow (log PI) 3) (sqrt PI))) (pow (* 2 n) 1/2))))) into (- (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log (* 2 n)))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log (* 2 n)) 2))) (sqrt (* n PI)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))))))) 4.744 * [backup-simplify]: Simplify (+ (* (sqrt (* n (* PI 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log (* 2 n)))) (sqrt (* n PI)))))) +nan.0) (* (- (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log (* 2 n)))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log (* 2 n)) 2))) (sqrt (* n PI)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt (* PI n)) (* (sqrt 2) (* (log PI) (log (* 2 n)))))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 4.745 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt (* PI n)) (* (sqrt 2) (* (log PI) (log (* 2 n)))))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 4.745 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt (* PI n)) (* (sqrt 2) (* (log PI) (log (* 2 n)))))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 4.745 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 4.745 * [taylor]: Taking taylor expansion of +nan.0 in n 4.745 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.745 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 4.745 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 4.745 * [taylor]: Taking taylor expansion of (sqrt 2) in n 4.745 * [taylor]: Taking taylor expansion of 2 in n 4.745 * [backup-simplify]: Simplify 2 into 2 4.745 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.746 * [taylor]: Taking taylor expansion of (log PI) in n 4.746 * [taylor]: Taking taylor expansion of PI in n 4.746 * [backup-simplify]: Simplify PI into PI 4.746 * [backup-simplify]: Simplify (log PI) into (log PI) 4.746 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 4.746 * [taylor]: Taking taylor expansion of (* PI n) in n 4.746 * [taylor]: Taking taylor expansion of PI in n 4.746 * [backup-simplify]: Simplify PI into PI 4.746 * [taylor]: Taking taylor expansion of n in n 4.746 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify 1 into 1 4.746 * [backup-simplify]: Simplify (* PI 0) into 0 4.747 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 4.747 * [backup-simplify]: Simplify (sqrt 0) into 0 4.748 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 4.748 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt (* PI n)) (* (sqrt 2) (* (log PI) (log (* 2 n)))))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 4.748 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt (* PI n)) (* (sqrt 2) (* (log PI) (log (* 2 n)))))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 4.748 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 4.748 * [taylor]: Taking taylor expansion of +nan.0 in n 4.748 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.748 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 4.748 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 4.748 * [taylor]: Taking taylor expansion of (sqrt 2) in n 4.748 * [taylor]: Taking taylor expansion of 2 in n 4.748 * [backup-simplify]: Simplify 2 into 2 4.749 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.749 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 4.749 * [taylor]: Taking taylor expansion of (log PI) in n 4.749 * [taylor]: Taking taylor expansion of PI in n 4.749 * [backup-simplify]: Simplify PI into PI 4.749 * [backup-simplify]: Simplify (log PI) into (log PI) 4.750 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 4.750 * [taylor]: Taking taylor expansion of (* PI n) in n 4.750 * [taylor]: Taking taylor expansion of PI in n 4.750 * [backup-simplify]: Simplify PI into PI 4.750 * [taylor]: Taking taylor expansion of n in n 4.750 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify 1 into 1 4.750 * [backup-simplify]: Simplify (* PI 0) into 0 4.751 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 4.751 * [backup-simplify]: Simplify (sqrt 0) into 0 4.752 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 4.752 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* PI n)) (* (sqrt 2) (* (log PI) (log (* 2 n)))))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 4.752 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* PI n)) (* (sqrt 2) (* (log PI) (log (* 2 n)))))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 4.752 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (* PI n)) (* (sqrt 2) (* (log PI) (log (* 2 n)))))) in n 4.752 * [taylor]: Taking taylor expansion of +nan.0 in n 4.752 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.752 * [taylor]: Taking taylor expansion of (* (sqrt (* PI n)) (* (sqrt 2) (* (log PI) (log (* 2 n))))) in n 4.752 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 4.752 * [taylor]: Taking taylor expansion of (* PI n) in n 4.752 * [taylor]: Taking taylor expansion of PI in n 4.752 * [backup-simplify]: Simplify PI into PI 4.752 * [taylor]: Taking taylor expansion of n in n 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify 1 into 1 4.752 * [backup-simplify]: Simplify (* PI 0) into 0 4.753 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 4.753 * [backup-simplify]: Simplify (sqrt 0) into 0 4.754 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 4.754 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log PI) (log (* 2 n)))) in n 4.754 * [taylor]: Taking taylor expansion of (sqrt 2) in n 4.754 * [taylor]: Taking taylor expansion of 2 in n 4.754 * [backup-simplify]: Simplify 2 into 2 4.755 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.755 * [taylor]: Taking taylor expansion of (* (log PI) (log (* 2 n))) in n 4.755 * [taylor]: Taking taylor expansion of (log PI) in n 4.755 * [taylor]: Taking taylor expansion of PI in n 4.755 * [backup-simplify]: Simplify PI into PI 4.755 * [backup-simplify]: Simplify (log PI) into (log PI) 4.755 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 4.755 * [taylor]: Taking taylor expansion of (* 2 n) in n 4.755 * [taylor]: Taking taylor expansion of 2 in n 4.755 * [backup-simplify]: Simplify 2 into 2 4.755 * [taylor]: Taking taylor expansion of n in n 4.755 * [backup-simplify]: Simplify 0 into 0 4.755 * [backup-simplify]: Simplify 1 into 1 4.756 * [backup-simplify]: Simplify (* 2 0) into 0 4.756 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.756 * [backup-simplify]: Simplify (log 2) into (log 2) 4.756 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 4.756 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 4.756 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 4.756 * [taylor]: Taking taylor expansion of +nan.0 in n 4.757 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.757 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 4.757 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 4.757 * [taylor]: Taking taylor expansion of (sqrt 2) in n 4.757 * [taylor]: Taking taylor expansion of 2 in n 4.757 * [backup-simplify]: Simplify 2 into 2 4.757 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.757 * [taylor]: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 4.757 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 4.757 * [taylor]: Taking taylor expansion of (* 2 n) in n 4.757 * [taylor]: Taking taylor expansion of 2 in n 4.757 * [backup-simplify]: Simplify 2 into 2 4.757 * [taylor]: Taking taylor expansion of n in n 4.757 * [backup-simplify]: Simplify 0 into 0 4.757 * [backup-simplify]: Simplify 1 into 1 4.758 * [backup-simplify]: Simplify (* 2 0) into 0 4.758 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.758 * [backup-simplify]: Simplify (log 2) into (log 2) 4.759 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 4.759 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 4.759 * [taylor]: Taking taylor expansion of (* PI n) in n 4.759 * [taylor]: Taking taylor expansion of PI in n 4.759 * [backup-simplify]: Simplify PI into PI 4.759 * [taylor]: Taking taylor expansion of n in n 4.759 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify 1 into 1 4.759 * [backup-simplify]: Simplify (* PI 0) into 0 4.760 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 4.760 * [backup-simplify]: Simplify (sqrt 0) into 0 4.761 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 4.761 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 4.761 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 4.761 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 4.761 * [taylor]: Taking taylor expansion of +nan.0 in n 4.761 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.761 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 4.761 * [taylor]: Taking taylor expansion of (sqrt 2) in n 4.761 * [taylor]: Taking taylor expansion of 2 in n 4.761 * [backup-simplify]: Simplify 2 into 2 4.762 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.762 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 4.762 * [taylor]: Taking taylor expansion of (* n PI) in n 4.762 * [taylor]: Taking taylor expansion of n in n 4.762 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify 1 into 1 4.762 * [taylor]: Taking taylor expansion of PI in n 4.762 * [backup-simplify]: Simplify PI into PI 4.762 * [backup-simplify]: Simplify (* 0 PI) into 0 4.763 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.763 * [backup-simplify]: Simplify (sqrt 0) into 0 4.764 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 4.764 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 4.764 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 4.764 * [taylor]: Taking taylor expansion of +nan.0 in n 4.764 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.764 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 4.764 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 4.764 * [taylor]: Taking taylor expansion of (sqrt 2) in n 4.764 * [taylor]: Taking taylor expansion of 2 in n 4.764 * [backup-simplify]: Simplify 2 into 2 4.765 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.765 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 4.765 * [taylor]: Taking taylor expansion of (* 2 n) in n 4.765 * [taylor]: Taking taylor expansion of 2 in n 4.765 * [backup-simplify]: Simplify 2 into 2 4.765 * [taylor]: Taking taylor expansion of n in n 4.765 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify 1 into 1 4.766 * [backup-simplify]: Simplify (* 2 0) into 0 4.766 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.766 * [backup-simplify]: Simplify (log 2) into (log 2) 4.766 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 4.766 * [taylor]: Taking taylor expansion of (* PI n) in n 4.766 * [taylor]: Taking taylor expansion of PI in n 4.766 * [backup-simplify]: Simplify PI into PI 4.766 * [taylor]: Taking taylor expansion of n in n 4.766 * [backup-simplify]: Simplify 0 into 0 4.766 * [backup-simplify]: Simplify 1 into 1 4.767 * [backup-simplify]: Simplify (* PI 0) into 0 4.767 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 4.768 * [backup-simplify]: Simplify (sqrt 0) into 0 4.769 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 4.770 * [backup-simplify]: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 4.771 * [backup-simplify]: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 4.771 * [backup-simplify]: Simplify (* +nan.0 0) into 0 4.773 * [backup-simplify]: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 4.774 * [backup-simplify]: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 4.775 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 4.775 * [backup-simplify]: Simplify (* +nan.0 0) into 0 4.775 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 4.776 * [backup-simplify]: Simplify (* (log PI) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (log PI)) 4.777 * [backup-simplify]: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 4.778 * [backup-simplify]: Simplify (* 0 (* (+ (log 2) (log n)) (* (sqrt 2) (log PI)))) into 0 4.778 * [backup-simplify]: Simplify (* +nan.0 0) into 0 4.778 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 4.779 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 4.779 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 4.780 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 4.781 * [backup-simplify]: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 4.781 * [backup-simplify]: Simplify (* +nan.0 0) into 0 4.781 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 4.781 * [backup-simplify]: Simplify (* +nan.0 0) into 0 4.782 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 4.782 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 4.783 * [backup-simplify]: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 4.783 * [backup-simplify]: Simplify (* +nan.0 0) into 0 4.783 * [backup-simplify]: Simplify (- 0) into 0 4.784 * [backup-simplify]: Simplify (+ 0 0) into 0 4.784 * [backup-simplify]: Simplify (- 0) into 0 4.784 * [backup-simplify]: Simplify (+ 0 0) into 0 4.784 * [backup-simplify]: Simplify (- 0) into 0 4.785 * [backup-simplify]: Simplify (+ 0 0) into 0 4.785 * [backup-simplify]: Simplify (- 0) into 0 4.785 * [backup-simplify]: Simplify (+ 0 0) into 0 4.785 * [backup-simplify]: Simplify (- 0) into 0 4.785 * [backup-simplify]: Simplify (+ 0 0) into 0 4.786 * [backup-simplify]: Simplify (- 0) into 0 4.786 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.787 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 4.790 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 4.794 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 4.802 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 4.805 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 4.805 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 4.806 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 4.807 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 4.807 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 4.808 * [backup-simplify]: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 4.813 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 4.818 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 4.826 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 4.834 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 4.842 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 4.852 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 4.862 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 4.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.865 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 4.866 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 4.869 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 4.874 * [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)))) 4.876 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 4.878 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 4.902 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +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) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 4.903 * [backup-simplify]: Simplify (* (pow PI (/ (- 1 (/ 1 k)) 2)) (/ (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k)))) into (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) 4.903 * [approximate]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in (k n) around 0 4.903 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in n 4.903 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) in n 4.903 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in n 4.903 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in n 4.903 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in n 4.903 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 4.903 * [taylor]: Taking taylor expansion of 1/2 in n 4.903 * [backup-simplify]: Simplify 1/2 into 1/2 4.903 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 4.903 * [taylor]: Taking taylor expansion of 1 in n 4.903 * [backup-simplify]: Simplify 1 into 1 4.903 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.903 * [taylor]: Taking taylor expansion of k in n 4.903 * [backup-simplify]: Simplify k into k 4.903 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.903 * [taylor]: Taking taylor expansion of (log PI) in n 4.903 * [taylor]: Taking taylor expansion of PI in n 4.903 * [backup-simplify]: Simplify PI into PI 4.904 * [backup-simplify]: Simplify (log PI) into (log PI) 4.904 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.904 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 4.904 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 4.904 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log PI)) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 4.905 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 4.905 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in n 4.905 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in n 4.905 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in n 4.905 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 4.905 * [taylor]: Taking taylor expansion of 1/2 in n 4.905 * [backup-simplify]: Simplify 1/2 into 1/2 4.905 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 4.905 * [taylor]: Taking taylor expansion of 1 in n 4.905 * [backup-simplify]: Simplify 1 into 1 4.905 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.905 * [taylor]: Taking taylor expansion of k in n 4.905 * [backup-simplify]: Simplify k into k 4.905 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.905 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 4.905 * [taylor]: Taking taylor expansion of (/ 2 n) in n 4.905 * [taylor]: Taking taylor expansion of 2 in n 4.905 * [backup-simplify]: Simplify 2 into 2 4.905 * [taylor]: Taking taylor expansion of n in n 4.905 * [backup-simplify]: Simplify 0 into 0 4.905 * [backup-simplify]: Simplify 1 into 1 4.905 * [backup-simplify]: Simplify (/ 2 1) into 2 4.906 * [backup-simplify]: Simplify (log 2) into (log 2) 4.906 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.906 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 4.906 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 4.906 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 4.907 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 4.907 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 4.907 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.907 * [taylor]: Taking taylor expansion of k in n 4.907 * [backup-simplify]: Simplify k into k 4.907 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 4.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 4.907 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in k 4.907 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) in k 4.907 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 4.907 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 4.907 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 4.907 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 4.907 * [taylor]: Taking taylor expansion of 1/2 in k 4.907 * [backup-simplify]: Simplify 1/2 into 1/2 4.907 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 4.907 * [taylor]: Taking taylor expansion of 1 in k 4.907 * [backup-simplify]: Simplify 1 into 1 4.907 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.907 * [taylor]: Taking taylor expansion of k in k 4.907 * [backup-simplify]: Simplify 0 into 0 4.907 * [backup-simplify]: Simplify 1 into 1 4.907 * [backup-simplify]: Simplify (/ 1 1) into 1 4.908 * [taylor]: Taking taylor expansion of (log PI) in k 4.908 * [taylor]: Taking taylor expansion of PI in k 4.908 * [backup-simplify]: Simplify PI into PI 4.908 * [backup-simplify]: Simplify (log PI) into (log PI) 4.908 * [backup-simplify]: Simplify (- 1) into -1 4.908 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.909 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 4.909 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 4.909 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 4.910 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in k 4.910 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in k 4.910 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in k 4.910 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 4.910 * [taylor]: Taking taylor expansion of 1/2 in k 4.910 * [backup-simplify]: Simplify 1/2 into 1/2 4.910 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 4.910 * [taylor]: Taking taylor expansion of 1 in k 4.910 * [backup-simplify]: Simplify 1 into 1 4.910 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.910 * [taylor]: Taking taylor expansion of k in k 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 1 into 1 4.910 * [backup-simplify]: Simplify (/ 1 1) into 1 4.910 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k 4.910 * [taylor]: Taking taylor expansion of (/ 2 n) in k 4.910 * [taylor]: Taking taylor expansion of 2 in k 4.910 * [backup-simplify]: Simplify 2 into 2 4.910 * [taylor]: Taking taylor expansion of n in k 4.910 * [backup-simplify]: Simplify n into n 4.910 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n) 4.910 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n)) 4.910 * [backup-simplify]: Simplify (- 1) into -1 4.911 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.911 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 4.911 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 4.911 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) 4.911 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.911 * [taylor]: Taking taylor expansion of k in k 4.911 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify 1 into 1 4.911 * [backup-simplify]: Simplify (sqrt 0) into 0 4.912 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.912 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in k 4.912 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) in k 4.913 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 4.913 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 4.913 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 4.913 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 4.913 * [taylor]: Taking taylor expansion of 1/2 in k 4.913 * [backup-simplify]: Simplify 1/2 into 1/2 4.913 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 4.913 * [taylor]: Taking taylor expansion of 1 in k 4.913 * [backup-simplify]: Simplify 1 into 1 4.913 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.913 * [taylor]: Taking taylor expansion of k in k 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify 1 into 1 4.913 * [backup-simplify]: Simplify (/ 1 1) into 1 4.913 * [taylor]: Taking taylor expansion of (log PI) in k 4.913 * [taylor]: Taking taylor expansion of PI in k 4.913 * [backup-simplify]: Simplify PI into PI 4.913 * [backup-simplify]: Simplify (log PI) into (log PI) 4.914 * [backup-simplify]: Simplify (- 1) into -1 4.914 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.914 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 4.915 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 4.915 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 4.915 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in k 4.915 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in k 4.915 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in k 4.915 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 4.915 * [taylor]: Taking taylor expansion of 1/2 in k 4.915 * [backup-simplify]: Simplify 1/2 into 1/2 4.915 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 4.915 * [taylor]: Taking taylor expansion of 1 in k 4.915 * [backup-simplify]: Simplify 1 into 1 4.915 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.915 * [taylor]: Taking taylor expansion of k in k 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify 1 into 1 4.915 * [backup-simplify]: Simplify (/ 1 1) into 1 4.915 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k 4.915 * [taylor]: Taking taylor expansion of (/ 2 n) in k 4.915 * [taylor]: Taking taylor expansion of 2 in k 4.915 * [backup-simplify]: Simplify 2 into 2 4.915 * [taylor]: Taking taylor expansion of n in k 4.916 * [backup-simplify]: Simplify n into n 4.916 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n) 4.916 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n)) 4.916 * [backup-simplify]: Simplify (- 1) into -1 4.916 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.916 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 4.916 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 4.917 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) 4.917 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.917 * [taylor]: Taking taylor expansion of k in k 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [backup-simplify]: Simplify 1 into 1 4.917 * [backup-simplify]: Simplify (sqrt 0) into 0 4.918 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.918 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) 4.919 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) 0) into 0 4.919 * [taylor]: Taking taylor expansion of 0 in n 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) into 0 4.920 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) 4.920 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) in n 4.920 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) in n 4.920 * [taylor]: Taking taylor expansion of +nan.0 in n 4.920 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.920 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) in n 4.920 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in n 4.920 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in n 4.920 * [taylor]: Taking taylor expansion of 1/2 in n 4.920 * [backup-simplify]: Simplify 1/2 into 1/2 4.920 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in n 4.920 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 4.920 * [taylor]: Taking taylor expansion of 1 in n 4.920 * [backup-simplify]: Simplify 1 into 1 4.920 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.920 * [taylor]: Taking taylor expansion of k in n 4.920 * [backup-simplify]: Simplify k into k 4.920 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.920 * [taylor]: Taking taylor expansion of (log PI) in n 4.920 * [taylor]: Taking taylor expansion of PI in n 4.920 * [backup-simplify]: Simplify PI into PI 4.920 * [backup-simplify]: Simplify (log PI) into (log PI) 4.920 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.920 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 4.921 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log PI)) into (* (- 1 (/ 1 k)) (log PI)) 4.921 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (log PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 4.921 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 4.921 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) in n 4.921 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))) in n 4.921 * [taylor]: Taking taylor expansion of 1/2 in n 4.921 * [backup-simplify]: Simplify 1/2 into 1/2 4.921 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 2 n))) in n 4.921 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 4.921 * [taylor]: Taking taylor expansion of 1 in n 4.921 * [backup-simplify]: Simplify 1 into 1 4.922 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.922 * [taylor]: Taking taylor expansion of k in n 4.922 * [backup-simplify]: Simplify k into k 4.922 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.922 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 4.922 * [taylor]: Taking taylor expansion of (/ 2 n) in n 4.922 * [taylor]: Taking taylor expansion of 2 in n 4.922 * [backup-simplify]: Simplify 2 into 2 4.922 * [taylor]: Taking taylor expansion of n in n 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify (/ 2 1) into 2 4.922 * [backup-simplify]: Simplify (log 2) into (log 2) 4.922 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.922 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 4.923 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 4.923 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log 2) (log n))) into (* (- 1 (/ 1 k)) (- (log 2) (log n))) 4.923 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 4.924 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 4.924 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 4.925 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 4.926 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 4.926 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 4.926 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.929 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) into 0 4.930 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) 4.931 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) in n 4.931 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) in n 4.931 * [taylor]: Taking taylor expansion of +nan.0 in n 4.931 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.931 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) in n 4.931 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in n 4.931 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in n 4.931 * [taylor]: Taking taylor expansion of 1/2 in n 4.931 * [backup-simplify]: Simplify 1/2 into 1/2 4.931 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in n 4.931 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 4.931 * [taylor]: Taking taylor expansion of 1 in n 4.931 * [backup-simplify]: Simplify 1 into 1 4.931 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.931 * [taylor]: Taking taylor expansion of k in n 4.931 * [backup-simplify]: Simplify k into k 4.931 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.931 * [taylor]: Taking taylor expansion of (log PI) in n 4.931 * [taylor]: Taking taylor expansion of PI in n 4.931 * [backup-simplify]: Simplify PI into PI 4.932 * [backup-simplify]: Simplify (log PI) into (log PI) 4.932 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.932 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 4.933 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log PI)) into (* (- 1 (/ 1 k)) (log PI)) 4.933 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (log PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 4.934 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 4.934 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) in n 4.934 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))) in n 4.934 * [taylor]: Taking taylor expansion of 1/2 in n 4.934 * [backup-simplify]: Simplify 1/2 into 1/2 4.934 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 2 n))) in n 4.934 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 4.934 * [taylor]: Taking taylor expansion of 1 in n 4.934 * [backup-simplify]: Simplify 1 into 1 4.934 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.934 * [taylor]: Taking taylor expansion of k in n 4.934 * [backup-simplify]: Simplify k into k 4.934 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.934 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 4.934 * [taylor]: Taking taylor expansion of (/ 2 n) in n 4.934 * [taylor]: Taking taylor expansion of 2 in n 4.934 * [backup-simplify]: Simplify 2 into 2 4.934 * [taylor]: Taking taylor expansion of n in n 4.934 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify 1 into 1 4.935 * [backup-simplify]: Simplify (/ 2 1) into 2 4.935 * [backup-simplify]: Simplify (log 2) into (log 2) 4.935 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.935 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 4.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 4.937 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log 2) (log n))) into (* (- 1 (/ 1 k)) (- (log 2) (log n))) 4.937 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 4.938 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 4.939 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 4.940 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 4.941 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 4.942 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 4.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 4.945 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 4.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.946 * [backup-simplify]: Simplify (- 0) into 0 4.946 * [backup-simplify]: Simplify (+ 0 0) into 0 4.947 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 4.947 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log 2) (log n)))) into 0 4.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into 0 4.950 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.952 * [backup-simplify]: Simplify (- 0) into 0 4.952 * [backup-simplify]: Simplify (+ 0 0) into 0 4.953 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (log PI))) into 0 4.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (log PI)))) into 0 4.955 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.956 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into 0 4.957 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into 0 4.958 * [backup-simplify]: Simplify (- 0) into 0 4.958 * [backup-simplify]: Simplify 0 into 0 4.958 * [backup-simplify]: Simplify 0 into 0 4.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.961 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))))) into 0 4.962 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) 4.962 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) in n 4.962 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) in n 4.962 * [taylor]: Taking taylor expansion of +nan.0 in n 4.962 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.962 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) in n 4.962 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in n 4.962 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in n 4.962 * [taylor]: Taking taylor expansion of 1/2 in n 4.962 * [backup-simplify]: Simplify 1/2 into 1/2 4.962 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in n 4.962 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 4.962 * [taylor]: Taking taylor expansion of 1 in n 4.962 * [backup-simplify]: Simplify 1 into 1 4.962 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.962 * [taylor]: Taking taylor expansion of k in n 4.962 * [backup-simplify]: Simplify k into k 4.962 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.962 * [taylor]: Taking taylor expansion of (log PI) in n 4.962 * [taylor]: Taking taylor expansion of PI in n 4.962 * [backup-simplify]: Simplify PI into PI 4.963 * [backup-simplify]: Simplify (log PI) into (log PI) 4.963 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.963 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 4.963 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log PI)) into (* (- 1 (/ 1 k)) (log PI)) 4.963 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (log PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 4.964 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 4.964 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) in n 4.964 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))) in n 4.964 * [taylor]: Taking taylor expansion of 1/2 in n 4.964 * [backup-simplify]: Simplify 1/2 into 1/2 4.964 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 2 n))) in n 4.964 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 4.964 * [taylor]: Taking taylor expansion of 1 in n 4.964 * [backup-simplify]: Simplify 1 into 1 4.964 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.964 * [taylor]: Taking taylor expansion of k in n 4.964 * [backup-simplify]: Simplify k into k 4.964 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.964 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 4.964 * [taylor]: Taking taylor expansion of (/ 2 n) in n 4.964 * [taylor]: Taking taylor expansion of 2 in n 4.964 * [backup-simplify]: Simplify 2 into 2 4.964 * [taylor]: Taking taylor expansion of n in n 4.964 * [backup-simplify]: Simplify 0 into 0 4.964 * [backup-simplify]: Simplify 1 into 1 4.964 * [backup-simplify]: Simplify (/ 2 1) into 2 4.965 * [backup-simplify]: Simplify (log 2) into (log 2) 4.965 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.965 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 4.965 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 4.966 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log 2) (log n))) into (* (- 1 (/ 1 k)) (- (log 2) (log n))) 4.966 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 4.966 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 4.967 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 4.968 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 4.968 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 4.969 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 4.971 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n))))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 3)))))))) 4.972 * [backup-simplify]: Simplify (* (pow PI (/ (- 1 (/ 1 (- k))) 2)) (/ (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k))))) into (/ (* (pow PI (* 1/2 (+ (/ 1 k) 1))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) 4.972 * [approximate]: Taking taylor expansion of (/ (* (pow PI (* 1/2 (+ (/ 1 k) 1))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in (k n) around 0 4.972 * [taylor]: Taking taylor expansion of (/ (* (pow PI (* 1/2 (+ (/ 1 k) 1))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in n 4.972 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (+ (/ 1 k) 1))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) in n 4.972 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in n 4.972 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in n 4.972 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in n 4.972 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 4.972 * [taylor]: Taking taylor expansion of 1/2 in n 4.972 * [backup-simplify]: Simplify 1/2 into 1/2 4.972 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 4.972 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.972 * [taylor]: Taking taylor expansion of k in n 4.972 * [backup-simplify]: Simplify k into k 4.972 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.972 * [taylor]: Taking taylor expansion of 1 in n 4.972 * [backup-simplify]: Simplify 1 into 1 4.972 * [taylor]: Taking taylor expansion of (log PI) in n 4.972 * [taylor]: Taking taylor expansion of PI in n 4.972 * [backup-simplify]: Simplify PI into PI 4.972 * [backup-simplify]: Simplify (log PI) into (log PI) 4.972 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 4.972 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 4.973 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 4.973 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 4.973 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in n 4.973 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in n 4.973 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in n 4.973 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 4.973 * [taylor]: Taking taylor expansion of 1/2 in n 4.973 * [backup-simplify]: Simplify 1/2 into 1/2 4.973 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 4.973 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.973 * [taylor]: Taking taylor expansion of k in n 4.973 * [backup-simplify]: Simplify k into k 4.973 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.973 * [taylor]: Taking taylor expansion of 1 in n 4.973 * [backup-simplify]: Simplify 1 into 1 4.973 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 4.973 * [taylor]: Taking taylor expansion of (/ -2 n) in n 4.973 * [taylor]: Taking taylor expansion of -2 in n 4.973 * [backup-simplify]: Simplify -2 into -2 4.973 * [taylor]: Taking taylor expansion of n in n 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify 1 into 1 4.974 * [backup-simplify]: Simplify (/ -2 1) into -2 4.974 * [backup-simplify]: Simplify (log -2) into (log -2) 4.974 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 4.974 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 4.975 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 4.975 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 4.975 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 4.975 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.975 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.975 * [taylor]: Taking taylor expansion of -1 in n 4.975 * [backup-simplify]: Simplify -1 into -1 4.975 * [taylor]: Taking taylor expansion of k in n 4.975 * [backup-simplify]: Simplify k into k 4.975 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 4.975 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 4.975 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 4.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 4.976 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 4.977 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) (sqrt (/ -1 k))) 4.977 * [taylor]: Taking taylor expansion of (/ (* (pow PI (* 1/2 (+ (/ 1 k) 1))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in k 4.977 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (+ (/ 1 k) 1))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) in k 4.977 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 4.977 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 4.977 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 4.977 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 4.977 * [taylor]: Taking taylor expansion of 1/2 in k 4.977 * [backup-simplify]: Simplify 1/2 into 1/2 4.977 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 4.977 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.977 * [taylor]: Taking taylor expansion of k in k 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify 1 into 1 4.977 * [backup-simplify]: Simplify (/ 1 1) into 1 4.977 * [taylor]: Taking taylor expansion of 1 in k 4.977 * [backup-simplify]: Simplify 1 into 1 4.977 * [taylor]: Taking taylor expansion of (log PI) in k 4.977 * [taylor]: Taking taylor expansion of PI in k 4.977 * [backup-simplify]: Simplify PI into PI 4.978 * [backup-simplify]: Simplify (log PI) into (log PI) 4.978 * [backup-simplify]: Simplify (+ 1 0) into 1 4.978 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.979 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 4.979 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 4.979 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in k 4.979 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in k 4.979 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in k 4.979 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 4.979 * [taylor]: Taking taylor expansion of 1/2 in k 4.979 * [backup-simplify]: Simplify 1/2 into 1/2 4.979 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 4.979 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.979 * [taylor]: Taking taylor expansion of k in k 4.979 * [backup-simplify]: Simplify 0 into 0 4.979 * [backup-simplify]: Simplify 1 into 1 4.979 * [backup-simplify]: Simplify (/ 1 1) into 1 4.979 * [taylor]: Taking taylor expansion of 1 in k 4.980 * [backup-simplify]: Simplify 1 into 1 4.980 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k 4.980 * [taylor]: Taking taylor expansion of (/ -2 n) in k 4.980 * [taylor]: Taking taylor expansion of -2 in k 4.980 * [backup-simplify]: Simplify -2 into -2 4.980 * [taylor]: Taking taylor expansion of n in k 4.980 * [backup-simplify]: Simplify n into n 4.980 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 4.980 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n)) 4.980 * [backup-simplify]: Simplify (+ 1 0) into 1 4.980 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.980 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 4.980 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) 4.980 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.980 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.980 * [taylor]: Taking taylor expansion of -1 in k 4.980 * [backup-simplify]: Simplify -1 into -1 4.980 * [taylor]: Taking taylor expansion of k in k 4.980 * [backup-simplify]: Simplify 0 into 0 4.981 * [backup-simplify]: Simplify 1 into 1 4.981 * [backup-simplify]: Simplify (/ -1 1) into -1 4.981 * [backup-simplify]: Simplify (sqrt 0) into 0 4.982 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.982 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) 4.983 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) 4.983 * [taylor]: Taking taylor expansion of (/ (* (pow PI (* 1/2 (+ (/ 1 k) 1))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in k 4.983 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (+ (/ 1 k) 1))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) in k 4.983 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 4.983 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 4.983 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 4.983 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 4.983 * [taylor]: Taking taylor expansion of 1/2 in k 4.983 * [backup-simplify]: Simplify 1/2 into 1/2 4.983 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 4.983 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.983 * [taylor]: Taking taylor expansion of k in k 4.983 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify 1 into 1 4.983 * [backup-simplify]: Simplify (/ 1 1) into 1 4.983 * [taylor]: Taking taylor expansion of 1 in k 4.983 * [backup-simplify]: Simplify 1 into 1 4.983 * [taylor]: Taking taylor expansion of (log PI) in k 4.983 * [taylor]: Taking taylor expansion of PI in k 4.983 * [backup-simplify]: Simplify PI into PI 4.983 * [backup-simplify]: Simplify (log PI) into (log PI) 4.984 * [backup-simplify]: Simplify (+ 1 0) into 1 4.984 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.985 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 4.985 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 4.985 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in k 4.985 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in k 4.985 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in k 4.985 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 4.985 * [taylor]: Taking taylor expansion of 1/2 in k 4.985 * [backup-simplify]: Simplify 1/2 into 1/2 4.985 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 4.985 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.985 * [taylor]: Taking taylor expansion of k in k 4.985 * [backup-simplify]: Simplify 0 into 0 4.985 * [backup-simplify]: Simplify 1 into 1 4.985 * [backup-simplify]: Simplify (/ 1 1) into 1 4.985 * [taylor]: Taking taylor expansion of 1 in k 4.985 * [backup-simplify]: Simplify 1 into 1 4.985 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k 4.985 * [taylor]: Taking taylor expansion of (/ -2 n) in k 4.985 * [taylor]: Taking taylor expansion of -2 in k 4.985 * [backup-simplify]: Simplify -2 into -2 4.985 * [taylor]: Taking taylor expansion of n in k 4.985 * [backup-simplify]: Simplify n into n 4.985 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 4.985 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n)) 4.986 * [backup-simplify]: Simplify (+ 1 0) into 1 4.986 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.986 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 4.986 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) 4.986 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.986 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.986 * [taylor]: Taking taylor expansion of -1 in k 4.986 * [backup-simplify]: Simplify -1 into -1 4.986 * [taylor]: Taking taylor expansion of k in k 4.986 * [backup-simplify]: Simplify 0 into 0 4.986 * [backup-simplify]: Simplify 1 into 1 4.987 * [backup-simplify]: Simplify (/ -1 1) into -1 4.987 * [backup-simplify]: Simplify (sqrt 0) into 0 4.988 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.988 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) 4.989 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) 4.989 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) in n 4.989 * [taylor]: Taking taylor expansion of +nan.0 in n 4.989 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.989 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) in n 4.989 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in n 4.989 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in n 4.989 * [taylor]: Taking taylor expansion of 1/2 in n 4.989 * [backup-simplify]: Simplify 1/2 into 1/2 4.989 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in n 4.989 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 4.989 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.989 * [taylor]: Taking taylor expansion of k in n 4.989 * [backup-simplify]: Simplify k into k 4.989 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.989 * [taylor]: Taking taylor expansion of 1 in n 4.989 * [backup-simplify]: Simplify 1 into 1 4.989 * [taylor]: Taking taylor expansion of (log PI) in n 4.989 * [taylor]: Taking taylor expansion of PI in n 4.989 * [backup-simplify]: Simplify PI into PI 4.989 * [backup-simplify]: Simplify (log PI) into (log PI) 4.989 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 4.990 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log PI)) into (* (+ (/ 1 k) 1) (log PI)) 4.990 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (log PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 4.990 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 4.990 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) in n 4.990 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))) in n 4.990 * [taylor]: Taking taylor expansion of 1/2 in n 4.990 * [backup-simplify]: Simplify 1/2 into 1/2 4.990 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -2 n))) in n 4.990 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 4.990 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.990 * [taylor]: Taking taylor expansion of k in n 4.990 * [backup-simplify]: Simplify k into k 4.991 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.991 * [taylor]: Taking taylor expansion of 1 in n 4.991 * [backup-simplify]: Simplify 1 into 1 4.991 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 4.991 * [taylor]: Taking taylor expansion of (/ -2 n) in n 4.991 * [taylor]: Taking taylor expansion of -2 in n 4.991 * [backup-simplify]: Simplify -2 into -2 4.991 * [taylor]: Taking taylor expansion of n in n 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify 1 into 1 4.991 * [backup-simplify]: Simplify (/ -2 1) into -2 4.991 * [backup-simplify]: Simplify (log -2) into (log -2) 4.991 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 4.992 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 4.992 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -2) (log n))) into (* (+ (/ 1 k) 1) (- (log -2) (log n))) 4.992 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 4.993 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 4.994 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 4.995 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 4.996 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 4.997 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) into 0 4.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.001 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.003 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) 5.003 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) in n 5.003 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) in n 5.003 * [taylor]: Taking taylor expansion of +nan.0 in n 5.003 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.003 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) in n 5.003 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in n 5.003 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in n 5.003 * [taylor]: Taking taylor expansion of 1/2 in n 5.003 * [backup-simplify]: Simplify 1/2 into 1/2 5.003 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in n 5.003 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 5.003 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.003 * [taylor]: Taking taylor expansion of k in n 5.003 * [backup-simplify]: Simplify k into k 5.003 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.003 * [taylor]: Taking taylor expansion of 1 in n 5.003 * [backup-simplify]: Simplify 1 into 1 5.003 * [taylor]: Taking taylor expansion of (log PI) in n 5.003 * [taylor]: Taking taylor expansion of PI in n 5.003 * [backup-simplify]: Simplify PI into PI 5.004 * [backup-simplify]: Simplify (log PI) into (log PI) 5.004 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 5.004 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log PI)) into (* (+ (/ 1 k) 1) (log PI)) 5.005 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (log PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 5.005 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 5.005 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) in n 5.005 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))) in n 5.005 * [taylor]: Taking taylor expansion of 1/2 in n 5.005 * [backup-simplify]: Simplify 1/2 into 1/2 5.005 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -2 n))) in n 5.005 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 5.005 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.005 * [taylor]: Taking taylor expansion of k in n 5.005 * [backup-simplify]: Simplify k into k 5.005 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.005 * [taylor]: Taking taylor expansion of 1 in n 5.005 * [backup-simplify]: Simplify 1 into 1 5.005 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 5.005 * [taylor]: Taking taylor expansion of (/ -2 n) in n 5.005 * [taylor]: Taking taylor expansion of -2 in n 5.005 * [backup-simplify]: Simplify -2 into -2 5.005 * [taylor]: Taking taylor expansion of n in n 5.005 * [backup-simplify]: Simplify 0 into 0 5.005 * [backup-simplify]: Simplify 1 into 1 5.006 * [backup-simplify]: Simplify (/ -2 1) into -2 5.006 * [backup-simplify]: Simplify (log -2) into (log -2) 5.006 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 5.010 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 5.011 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -2) (log n))) into (* (+ (/ 1 k) 1) (- (log -2) (log n))) 5.011 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 5.012 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 5.012 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 5.013 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 5.014 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) 5.015 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) 5.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 5.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 5.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.016 * [backup-simplify]: Simplify (+ 0 0) into 0 5.017 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 5.017 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (- (log -2) (log n)))) into 0 5.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into 0 5.019 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.019 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 5.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.020 * [backup-simplify]: Simplify (+ 0 0) into 0 5.020 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (log PI))) into 0 5.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (log PI)))) into 0 5.021 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.022 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into 0 5.023 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into 0 5.023 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) into 0 5.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.028 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) 5.028 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) in n 5.028 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) in n 5.028 * [taylor]: Taking taylor expansion of +nan.0 in n 5.028 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.028 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) in n 5.028 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in n 5.028 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in n 5.029 * [taylor]: Taking taylor expansion of 1/2 in n 5.029 * [backup-simplify]: Simplify 1/2 into 1/2 5.029 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in n 5.029 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 5.029 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.029 * [taylor]: Taking taylor expansion of k in n 5.029 * [backup-simplify]: Simplify k into k 5.029 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.029 * [taylor]: Taking taylor expansion of 1 in n 5.029 * [backup-simplify]: Simplify 1 into 1 5.029 * [taylor]: Taking taylor expansion of (log PI) in n 5.029 * [taylor]: Taking taylor expansion of PI in n 5.029 * [backup-simplify]: Simplify PI into PI 5.029 * [backup-simplify]: Simplify (log PI) into (log PI) 5.029 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 5.029 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log PI)) into (* (+ (/ 1 k) 1) (log PI)) 5.030 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (log PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 5.030 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 5.030 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) in n 5.030 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))) in n 5.030 * [taylor]: Taking taylor expansion of 1/2 in n 5.030 * [backup-simplify]: Simplify 1/2 into 1/2 5.030 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -2 n))) in n 5.030 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 5.030 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.030 * [taylor]: Taking taylor expansion of k in n 5.030 * [backup-simplify]: Simplify k into k 5.030 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.030 * [taylor]: Taking taylor expansion of 1 in n 5.030 * [backup-simplify]: Simplify 1 into 1 5.030 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 5.030 * [taylor]: Taking taylor expansion of (/ -2 n) in n 5.030 * [taylor]: Taking taylor expansion of -2 in n 5.030 * [backup-simplify]: Simplify -2 into -2 5.030 * [taylor]: Taking taylor expansion of n in n 5.030 * [backup-simplify]: Simplify 0 into 0 5.030 * [backup-simplify]: Simplify 1 into 1 5.031 * [backup-simplify]: Simplify (/ -2 1) into -2 5.031 * [backup-simplify]: Simplify (log -2) into (log -2) 5.031 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 5.031 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 5.032 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -2) (log n))) into (* (+ (/ 1 k) 1) (- (log -2) (log n))) 5.032 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 5.032 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 5.033 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 5.034 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 5.035 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) 5.036 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) 5.040 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n))))))))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2))) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))))))))) 5.040 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.041 * [backup-simplify]: Simplify (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 n) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 5.041 * [approximate]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 5.041 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 5.041 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in k 5.041 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in k 5.041 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in k 5.041 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 5.041 * [taylor]: Taking taylor expansion of 1/2 in k 5.041 * [backup-simplify]: Simplify 1/2 into 1/2 5.041 * [taylor]: Taking taylor expansion of (- 1 k) in k 5.041 * [taylor]: Taking taylor expansion of 1 in k 5.041 * [backup-simplify]: Simplify 1 into 1 5.041 * [taylor]: Taking taylor expansion of k in k 5.041 * [backup-simplify]: Simplify 0 into 0 5.041 * [backup-simplify]: Simplify 1 into 1 5.041 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k 5.041 * [taylor]: Taking taylor expansion of (* 2 n) in k 5.041 * [taylor]: Taking taylor expansion of 2 in k 5.041 * [backup-simplify]: Simplify 2 into 2 5.041 * [taylor]: Taking taylor expansion of n in k 5.041 * [backup-simplify]: Simplify n into n 5.041 * [backup-simplify]: Simplify (* 2 n) into (* 2 n) 5.041 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n)) 5.042 * [backup-simplify]: Simplify (- 0) into 0 5.042 * [backup-simplify]: Simplify (+ 1 0) into 1 5.042 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.043 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 5.043 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 5.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.043 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.043 * [taylor]: Taking taylor expansion of k in k 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 1 into 1 5.043 * [backup-simplify]: Simplify (/ 1 1) into 1 5.043 * [backup-simplify]: Simplify (sqrt 0) into 0 5.044 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.044 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 5.044 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in n 5.044 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in n 5.044 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in n 5.044 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 5.044 * [taylor]: Taking taylor expansion of 1/2 in n 5.044 * [backup-simplify]: Simplify 1/2 into 1/2 5.044 * [taylor]: Taking taylor expansion of (- 1 k) in n 5.044 * [taylor]: Taking taylor expansion of 1 in n 5.044 * [backup-simplify]: Simplify 1 into 1 5.044 * [taylor]: Taking taylor expansion of k in n 5.044 * [backup-simplify]: Simplify k into k 5.044 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 5.044 * [taylor]: Taking taylor expansion of (* 2 n) in n 5.044 * [taylor]: Taking taylor expansion of 2 in n 5.044 * [backup-simplify]: Simplify 2 into 2 5.044 * [taylor]: Taking taylor expansion of n in n 5.044 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify 1 into 1 5.045 * [backup-simplify]: Simplify (* 2 0) into 0 5.045 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.045 * [backup-simplify]: Simplify (log 2) into (log 2) 5.045 * [backup-simplify]: Simplify (- k) into (- k) 5.045 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 5.045 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 5.046 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 5.046 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) 5.047 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 5.047 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.047 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.047 * [taylor]: Taking taylor expansion of k in n 5.047 * [backup-simplify]: Simplify k into k 5.047 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.047 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 5.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 5.047 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 5.047 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in n 5.047 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in n 5.047 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in n 5.047 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 5.047 * [taylor]: Taking taylor expansion of 1/2 in n 5.047 * [backup-simplify]: Simplify 1/2 into 1/2 5.047 * [taylor]: Taking taylor expansion of (- 1 k) in n 5.047 * [taylor]: Taking taylor expansion of 1 in n 5.047 * [backup-simplify]: Simplify 1 into 1 5.047 * [taylor]: Taking taylor expansion of k in n 5.047 * [backup-simplify]: Simplify k into k 5.047 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 5.047 * [taylor]: Taking taylor expansion of (* 2 n) in n 5.047 * [taylor]: Taking taylor expansion of 2 in n 5.047 * [backup-simplify]: Simplify 2 into 2 5.047 * [taylor]: Taking taylor expansion of n in n 5.047 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify 1 into 1 5.047 * [backup-simplify]: Simplify (* 2 0) into 0 5.048 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.048 * [backup-simplify]: Simplify (log 2) into (log 2) 5.048 * [backup-simplify]: Simplify (- k) into (- k) 5.048 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 5.048 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 5.049 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 5.049 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) 5.049 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 5.049 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.049 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.049 * [taylor]: Taking taylor expansion of k in n 5.049 * [backup-simplify]: Simplify k into k 5.049 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.049 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 5.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 5.050 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (sqrt (/ 1 k))) 5.050 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (sqrt (/ 1 k))) in k 5.050 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) in k 5.050 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) in k 5.050 * [taylor]: Taking taylor expansion of 1/2 in k 5.050 * [backup-simplify]: Simplify 1/2 into 1/2 5.050 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log 2) (log n))) in k 5.050 * [taylor]: Taking taylor expansion of (- 1 k) in k 5.050 * [taylor]: Taking taylor expansion of 1 in k 5.050 * [backup-simplify]: Simplify 1 into 1 5.050 * [taylor]: Taking taylor expansion of k in k 5.050 * [backup-simplify]: Simplify 0 into 0 5.050 * [backup-simplify]: Simplify 1 into 1 5.050 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k 5.050 * [taylor]: Taking taylor expansion of (log 2) in k 5.050 * [taylor]: Taking taylor expansion of 2 in k 5.050 * [backup-simplify]: Simplify 2 into 2 5.050 * [backup-simplify]: Simplify (log 2) into (log 2) 5.051 * [taylor]: Taking taylor expansion of (log n) in k 5.051 * [taylor]: Taking taylor expansion of n in k 5.051 * [backup-simplify]: Simplify n into n 5.051 * [backup-simplify]: Simplify (log n) into (log n) 5.051 * [backup-simplify]: Simplify (- 0) into 0 5.051 * [backup-simplify]: Simplify (+ 1 0) into 1 5.051 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 5.052 * [backup-simplify]: Simplify (* 1 (+ (log 2) (log n))) into (+ (log 2) (log n)) 5.052 * [backup-simplify]: Simplify (* 1/2 (+ (log 2) (log n))) into (* 1/2 (+ (log 2) (log n))) 5.052 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 5.052 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.052 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.052 * [taylor]: Taking taylor expansion of k in k 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify 1 into 1 5.053 * [backup-simplify]: Simplify (/ 1 1) into 1 5.053 * [backup-simplify]: Simplify (sqrt 0) into 0 5.054 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.054 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 0) into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 5.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 5.056 * [backup-simplify]: Simplify (- 0) into 0 5.056 * [backup-simplify]: Simplify (+ 0 0) into 0 5.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 5.057 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 5.057 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 5.058 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.059 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 5.059 * [taylor]: Taking taylor expansion of 0 in k 5.059 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 5.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 5.060 * [backup-simplify]: Simplify (+ 0 0) into 0 5.061 * [backup-simplify]: Simplify (- 1) into -1 5.061 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.061 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log 2) (log n)))) into (- (+ (log 2) (log n))) 5.062 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n)))) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 5.063 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 5.064 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 5.064 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 5.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.065 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 5.066 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.067 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 5.067 * [backup-simplify]: Simplify (- 0) into 0 5.068 * [backup-simplify]: Simplify (+ 0 0) into 0 5.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 5.069 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 5.069 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 5.070 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.071 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 5.071 * [taylor]: Taking taylor expansion of 0 in k 5.071 * [backup-simplify]: Simplify 0 into 0 5.071 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.073 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.075 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 5.076 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 5.076 * [backup-simplify]: Simplify (+ 0 0) into 0 5.076 * [backup-simplify]: Simplify (- 0) into 0 5.077 * [backup-simplify]: Simplify (+ 0 0) into 0 5.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log 2) (log n))))) into 0 5.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n))))) into 0 5.082 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 5.086 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 0))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 5.088 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 5.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 5.091 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.096 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 5.096 * [backup-simplify]: Simplify (- 0) into 0 5.097 * [backup-simplify]: Simplify (+ 0 0) into 0 5.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 5.099 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 5.100 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 5.102 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.104 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 5.104 * [taylor]: Taking taylor expansion of 0 in k 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.114 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 5.123 * [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 5.123 * [backup-simplify]: Simplify (+ 0 0) into 0 5.124 * [backup-simplify]: Simplify (- 0) into 0 5.124 * [backup-simplify]: Simplify (+ 0 0) into 0 5.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 5.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n)))))) into 0 5.131 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 5.141 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 5.147 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 5.157 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 5.158 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 5.158 * [approximate]: Taking taylor expansion of (* (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 5.158 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 5.158 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in k 5.158 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in k 5.158 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in k 5.158 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 5.158 * [taylor]: Taking taylor expansion of 1/2 in k 5.158 * [backup-simplify]: Simplify 1/2 into 1/2 5.158 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 5.158 * [taylor]: Taking taylor expansion of 1 in k 5.158 * [backup-simplify]: Simplify 1 into 1 5.158 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.158 * [taylor]: Taking taylor expansion of k in k 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 1 into 1 5.159 * [backup-simplify]: Simplify (/ 1 1) into 1 5.159 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k 5.159 * [taylor]: Taking taylor expansion of (/ 2 n) in k 5.159 * [taylor]: Taking taylor expansion of 2 in k 5.159 * [backup-simplify]: Simplify 2 into 2 5.159 * [taylor]: Taking taylor expansion of n in k 5.159 * [backup-simplify]: Simplify n into n 5.159 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n) 5.159 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n)) 5.159 * [backup-simplify]: Simplify (- 1) into -1 5.160 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.160 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 5.160 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 5.161 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) 5.161 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.161 * [taylor]: Taking taylor expansion of k in k 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify 1 into 1 5.161 * [backup-simplify]: Simplify (sqrt 0) into 0 5.163 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.163 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 5.163 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in n 5.163 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in n 5.163 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in n 5.163 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 5.163 * [taylor]: Taking taylor expansion of 1/2 in n 5.163 * [backup-simplify]: Simplify 1/2 into 1/2 5.163 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 5.163 * [taylor]: Taking taylor expansion of 1 in n 5.163 * [backup-simplify]: Simplify 1 into 1 5.163 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.163 * [taylor]: Taking taylor expansion of k in n 5.163 * [backup-simplify]: Simplify k into k 5.163 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.163 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 5.163 * [taylor]: Taking taylor expansion of (/ 2 n) in n 5.163 * [taylor]: Taking taylor expansion of 2 in n 5.163 * [backup-simplify]: Simplify 2 into 2 5.163 * [taylor]: Taking taylor expansion of n in n 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify 1 into 1 5.164 * [backup-simplify]: Simplify (/ 2 1) into 2 5.164 * [backup-simplify]: Simplify (log 2) into (log 2) 5.164 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.164 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 5.164 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 5.165 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 5.166 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 5.166 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 5.166 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.166 * [taylor]: Taking taylor expansion of k in n 5.166 * [backup-simplify]: Simplify k into k 5.166 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 5.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 5.166 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 5.166 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in n 5.166 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in n 5.166 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in n 5.166 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 5.166 * [taylor]: Taking taylor expansion of 1/2 in n 5.167 * [backup-simplify]: Simplify 1/2 into 1/2 5.167 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 5.167 * [taylor]: Taking taylor expansion of 1 in n 5.167 * [backup-simplify]: Simplify 1 into 1 5.167 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.167 * [taylor]: Taking taylor expansion of k in n 5.167 * [backup-simplify]: Simplify k into k 5.167 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.167 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 5.167 * [taylor]: Taking taylor expansion of (/ 2 n) in n 5.167 * [taylor]: Taking taylor expansion of 2 in n 5.167 * [backup-simplify]: Simplify 2 into 2 5.167 * [taylor]: Taking taylor expansion of n in n 5.167 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify 1 into 1 5.167 * [backup-simplify]: Simplify (/ 2 1) into 2 5.168 * [backup-simplify]: Simplify (log 2) into (log 2) 5.168 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.168 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 5.168 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 5.169 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 5.169 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 5.170 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 5.170 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.170 * [taylor]: Taking taylor expansion of k in n 5.170 * [backup-simplify]: Simplify k into k 5.170 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 5.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 5.171 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (sqrt k)) 5.171 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (sqrt k)) in k 5.171 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) in k 5.171 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) in k 5.171 * [taylor]: Taking taylor expansion of 1/2 in k 5.171 * [backup-simplify]: Simplify 1/2 into 1/2 5.171 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log 2) (log n))) in k 5.171 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 5.171 * [taylor]: Taking taylor expansion of 1 in k 5.171 * [backup-simplify]: Simplify 1 into 1 5.171 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.171 * [taylor]: Taking taylor expansion of k in k 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify 1 into 1 5.172 * [backup-simplify]: Simplify (/ 1 1) into 1 5.172 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k 5.172 * [taylor]: Taking taylor expansion of (log 2) in k 5.172 * [taylor]: Taking taylor expansion of 2 in k 5.172 * [backup-simplify]: Simplify 2 into 2 5.172 * [backup-simplify]: Simplify (log 2) into (log 2) 5.172 * [taylor]: Taking taylor expansion of (log n) in k 5.172 * [taylor]: Taking taylor expansion of n in k 5.172 * [backup-simplify]: Simplify n into n 5.172 * [backup-simplify]: Simplify (log n) into (log n) 5.173 * [backup-simplify]: Simplify (- 1) into -1 5.173 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.173 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 5.174 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 5.174 * [backup-simplify]: Simplify (* -1 (- (log 2) (log n))) into (* -1 (- (log 2) (log n))) 5.175 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log 2) (log n)))) into (* -1/2 (- (log 2) (log n))) 5.175 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 5.175 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.175 * [taylor]: Taking taylor expansion of k in k 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify 1 into 1 5.176 * [backup-simplify]: Simplify (sqrt 0) into 0 5.177 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.178 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 0) into 0 5.178 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 5.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 5.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.181 * [backup-simplify]: Simplify (- 0) into 0 5.181 * [backup-simplify]: Simplify (+ 0 0) into 0 5.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 5.182 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 5.183 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 5.184 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.185 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 0) (* 0 (sqrt k))) into 0 5.185 * [taylor]: Taking taylor expansion of 0 in k 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 5.186 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 5.187 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 5.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.191 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 5.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.192 * [backup-simplify]: Simplify (- 0) into 0 5.192 * [backup-simplify]: Simplify (+ 0 0) into 0 5.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 5.194 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 5.195 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 5.197 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.198 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 5.198 * [taylor]: Taking taylor expansion of 0 in k 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify 0 into 0 5.201 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.202 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 5.202 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 5.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 5.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.210 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 5.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.211 * [backup-simplify]: Simplify (- 0) into 0 5.211 * [backup-simplify]: Simplify (+ 0 0) into 0 5.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 5.213 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 5.214 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 5.216 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.218 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 5.218 * [taylor]: Taking taylor expansion of 0 in k 5.218 * [backup-simplify]: Simplify 0 into 0 5.218 * [backup-simplify]: Simplify 0 into 0 5.218 * [backup-simplify]: Simplify 0 into 0 5.218 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.224 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 5.224 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 5.227 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (pow k 3)))))))) 5.227 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 5.227 * [approximate]: Taking taylor expansion of (/ (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 5.227 * [taylor]: Taking taylor expansion of (/ (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 5.227 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in k 5.227 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in k 5.227 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in k 5.227 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 5.227 * [taylor]: Taking taylor expansion of 1/2 in k 5.227 * [backup-simplify]: Simplify 1/2 into 1/2 5.227 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 5.227 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.227 * [taylor]: Taking taylor expansion of k in k 5.227 * [backup-simplify]: Simplify 0 into 0 5.227 * [backup-simplify]: Simplify 1 into 1 5.228 * [backup-simplify]: Simplify (/ 1 1) into 1 5.228 * [taylor]: Taking taylor expansion of 1 in k 5.228 * [backup-simplify]: Simplify 1 into 1 5.228 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k 5.228 * [taylor]: Taking taylor expansion of (/ -2 n) in k 5.228 * [taylor]: Taking taylor expansion of -2 in k 5.228 * [backup-simplify]: Simplify -2 into -2 5.228 * [taylor]: Taking taylor expansion of n in k 5.228 * [backup-simplify]: Simplify n into n 5.228 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 5.228 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n)) 5.229 * [backup-simplify]: Simplify (+ 1 0) into 1 5.229 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.229 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 5.229 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) 5.229 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.229 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.229 * [taylor]: Taking taylor expansion of -1 in k 5.229 * [backup-simplify]: Simplify -1 into -1 5.229 * [taylor]: Taking taylor expansion of k in k 5.229 * [backup-simplify]: Simplify 0 into 0 5.230 * [backup-simplify]: Simplify 1 into 1 5.230 * [backup-simplify]: Simplify (/ -1 1) into -1 5.230 * [backup-simplify]: Simplify (sqrt 0) into 0 5.232 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.232 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) 5.232 * [taylor]: Taking taylor expansion of (/ (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 5.232 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in n 5.232 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in n 5.232 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in n 5.232 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 5.232 * [taylor]: Taking taylor expansion of 1/2 in n 5.232 * [backup-simplify]: Simplify 1/2 into 1/2 5.232 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 5.232 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.232 * [taylor]: Taking taylor expansion of k in n 5.232 * [backup-simplify]: Simplify k into k 5.232 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.232 * [taylor]: Taking taylor expansion of 1 in n 5.232 * [backup-simplify]: Simplify 1 into 1 5.232 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 5.232 * [taylor]: Taking taylor expansion of (/ -2 n) in n 5.232 * [taylor]: Taking taylor expansion of -2 in n 5.232 * [backup-simplify]: Simplify -2 into -2 5.233 * [taylor]: Taking taylor expansion of n in n 5.233 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify 1 into 1 5.233 * [backup-simplify]: Simplify (/ -2 1) into -2 5.233 * [backup-simplify]: Simplify (log -2) into (log -2) 5.234 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 5.234 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 5.234 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 5.235 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 5.235 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 5.235 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.235 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.236 * [taylor]: Taking taylor expansion of -1 in n 5.236 * [backup-simplify]: Simplify -1 into -1 5.236 * [taylor]: Taking taylor expansion of k in n 5.236 * [backup-simplify]: Simplify k into k 5.236 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 5.236 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 5.236 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 5.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 5.237 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (sqrt (/ -1 k))) 5.237 * [taylor]: Taking taylor expansion of (/ (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 5.237 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in n 5.237 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in n 5.237 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in n 5.237 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 5.237 * [taylor]: Taking taylor expansion of 1/2 in n 5.237 * [backup-simplify]: Simplify 1/2 into 1/2 5.237 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 5.237 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.237 * [taylor]: Taking taylor expansion of k in n 5.237 * [backup-simplify]: Simplify k into k 5.237 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.237 * [taylor]: Taking taylor expansion of 1 in n 5.237 * [backup-simplify]: Simplify 1 into 1 5.237 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 5.237 * [taylor]: Taking taylor expansion of (/ -2 n) in n 5.237 * [taylor]: Taking taylor expansion of -2 in n 5.237 * [backup-simplify]: Simplify -2 into -2 5.237 * [taylor]: Taking taylor expansion of n in n 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [backup-simplify]: Simplify 1 into 1 5.238 * [backup-simplify]: Simplify (/ -2 1) into -2 5.238 * [backup-simplify]: Simplify (log -2) into (log -2) 5.238 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 5.238 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 5.239 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 5.239 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 5.240 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 5.240 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.240 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.240 * [taylor]: Taking taylor expansion of -1 in n 5.240 * [backup-simplify]: Simplify -1 into -1 5.240 * [taylor]: Taking taylor expansion of k in n 5.240 * [backup-simplify]: Simplify k into k 5.240 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 5.240 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 5.240 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 5.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 5.241 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (sqrt (/ -1 k))) 5.241 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (sqrt (/ -1 k))) in k 5.241 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) in k 5.241 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) in k 5.241 * [taylor]: Taking taylor expansion of 1/2 in k 5.241 * [backup-simplify]: Simplify 1/2 into 1/2 5.241 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -2) (log n))) in k 5.241 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 5.241 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.241 * [taylor]: Taking taylor expansion of k in k 5.242 * [backup-simplify]: Simplify 0 into 0 5.242 * [backup-simplify]: Simplify 1 into 1 5.242 * [backup-simplify]: Simplify (/ 1 1) into 1 5.242 * [taylor]: Taking taylor expansion of 1 in k 5.242 * [backup-simplify]: Simplify 1 into 1 5.242 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k 5.242 * [taylor]: Taking taylor expansion of (log -2) in k 5.242 * [taylor]: Taking taylor expansion of -2 in k 5.242 * [backup-simplify]: Simplify -2 into -2 5.242 * [backup-simplify]: Simplify (log -2) into (log -2) 5.243 * [taylor]: Taking taylor expansion of (log n) in k 5.243 * [taylor]: Taking taylor expansion of n in k 5.243 * [backup-simplify]: Simplify n into n 5.243 * [backup-simplify]: Simplify (log n) into (log n) 5.243 * [backup-simplify]: Simplify (+ 1 0) into 1 5.243 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 5.244 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 5.244 * [backup-simplify]: Simplify (* 1 (- (log -2) (log n))) into (- (log -2) (log n)) 5.245 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 5.245 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 5.245 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.245 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.245 * [taylor]: Taking taylor expansion of -1 in k 5.245 * [backup-simplify]: Simplify -1 into -1 5.245 * [taylor]: Taking taylor expansion of k in k 5.245 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify 1 into 1 5.246 * [backup-simplify]: Simplify (/ -1 1) into -1 5.246 * [backup-simplify]: Simplify (sqrt 0) into 0 5.247 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.247 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 5.248 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 5.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 5.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 5.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.249 * [backup-simplify]: Simplify (+ 0 0) into 0 5.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 5.250 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 5.250 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -2) (log n)))) into 0 5.251 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.252 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 5.252 * [taylor]: Taking taylor expansion of 0 in k 5.252 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.254 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.255 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 5.256 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 5.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.262 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 5.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.263 * [backup-simplify]: Simplify (+ 0 0) into 0 5.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 5.264 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 5.264 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 5.266 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.266 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.266 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 5.267 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 5.267 * [taylor]: Taking taylor expansion of 0 in k 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.271 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 5.271 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 5.273 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (pow k 2)))))))) 5.273 * * * [progress]: simplifying candidates 5.273 * * * * [progress]: [ 1 / 231 ] simplifiying candidate # 5.273 * * * * [progress]: [ 2 / 231 ] simplifiying candidate # 5.273 * * * * [progress]: [ 3 / 231 ] simplifiying candidate # 5.273 * * * * [progress]: [ 4 / 231 ] simplifiying candidate # 5.274 * * * * [progress]: [ 5 / 231 ] simplifiying candidate # 5.274 * * * * [progress]: [ 6 / 231 ] simplifiying candidate # 5.274 * * * * [progress]: [ 7 / 231 ] simplifiying candidate # 5.274 * * * * [progress]: [ 8 / 231 ] simplifiying candidate # 5.274 * * * * [progress]: [ 9 / 231 ] simplifiying candidate # 5.274 * * * * [progress]: [ 10 / 231 ] simplifiying candidate # 5.274 * * * * [progress]: [ 11 / 231 ] simplifiying candidate # 5.274 * * * * [progress]: [ 12 / 231 ] simplifiying candidate # 5.274 * * * * [progress]: [ 13 / 231 ] simplifiying candidate # 5.274 * * * * [progress]: [ 14 / 231 ] simplifiying candidate # 5.274 * * * * [progress]: [ 15 / 231 ] simplifiying candidate # 5.274 * * * * [progress]: [ 16 / 231 ] simplifiying candidate # 5.274 * * * * [progress]: [ 17 / 231 ] simplifiying candidate # 5.275 * * * * [progress]: [ 18 / 231 ] 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[ 200 / 231 ] simplifiying candidate # 5.289 * * * * [progress]: [ 201 / 231 ] simplifiying candidate # 5.289 * * * * [progress]: [ 202 / 231 ] simplifiying candidate # 5.289 * * * * [progress]: [ 203 / 231 ] simplifiying candidate # 5.289 * * * * [progress]: [ 204 / 231 ] simplifiying candidate # 5.289 * * * * [progress]: [ 205 / 231 ] simplifiying candidate # 5.289 * * * * [progress]: [ 206 / 231 ] simplifiying candidate # 5.289 * * * * [progress]: [ 207 / 231 ] simplifiying candidate # 5.290 * * * * [progress]: [ 208 / 231 ] simplifiying candidate # 5.290 * * * * [progress]: [ 209 / 231 ] simplifiying candidate # 5.290 * * * * [progress]: [ 210 / 231 ] simplifiying candidate # 5.290 * * * * [progress]: [ 211 / 231 ] simplifiying candidate # 5.290 * * * * [progress]: [ 212 / 231 ] simplifiying candidate # 5.290 * * * * [progress]: [ 213 / 231 ] simplifiying candidate # 5.290 * * * * [progress]: [ 214 / 231 ] simplifiying candidate # 5.290 * * * * [progress]: [ 215 / 231 ] simplifiying candidate # 5.290 * * * * [progress]: [ 216 / 231 ] simplifiying candidate # 5.290 * * * * [progress]: [ 217 / 231 ] simplifiying candidate # 5.290 * * * * [progress]: [ 218 / 231 ] simplifiying candidate # 5.290 * * * * [progress]: [ 219 / 231 ] simplifiying candidate #real (real->posit16 (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))))> 5.290 * * * * [progress]: [ 220 / 231 ] simplifiying candidate # 5.290 * * * * [progress]: [ 221 / 231 ] simplifiying candidate # 5.291 * * * * [progress]: [ 222 / 231 ] simplifiying candidate # 5.291 * * * * [progress]: [ 223 / 231 ] simplifiying candidate # 5.291 * * * * [progress]: [ 224 / 231 ] simplifiying candidate # 5.291 * * * * [progress]: [ 225 / 231 ] simplifiying candidate # 5.291 * * * * [progress]: [ 226 / 231 ] simplifiying candidate # 5.291 * * * * [progress]: [ 227 / 231 ] simplifiying candidate # 5.291 * * * * [progress]: [ 228 / 231 ] simplifiying candidate # 5.291 * * * * [progress]: [ 229 / 231 ] simplifiying candidate # 5.291 * * * * [progress]: [ 230 / 231 ] simplifiying candidate # 5.291 * * * * [progress]: [ 231 / 231 ] simplifiying candidate # 5.295 * [simplify]: Simplifying (* (+ (log n) (log 2)) (/ (- 1 k) 2)), (* (log (* n 2)) (/ (- 1 k) 2)), (* (log (* n 2)) (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (pow (* n 2) (/ 1 2)), (pow (* n 2) (/ k 2)), (pow (* n 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* n 2) (sqrt (/ (- 1 k) 2))), (pow (* n 2) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))), (pow (* n 2) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* n 2) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)), (pow (* n 2) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* n 2) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* n 2) (/ (sqrt (- 1 k)) 1)), (pow (* n 2) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* n 2) (/ 1 (sqrt 2))), (pow (* n 2) (/ 1 1)), (pow (* n 2) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* n 2) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))), (pow (* n 2) 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[simplify]: Extracting #4: cost 462 inf + 127391 5.558 * * [simplify]: Extracting #5: cost 298 inf + 223380 5.599 * * [simplify]: Extracting #6: cost 234 inf + 262814 5.644 * * [simplify]: Extracting #7: cost 181 inf + 294346 5.680 * * [simplify]: Extracting #8: cost 149 inf + 326656 5.720 * * [simplify]: Extracting #9: cost 120 inf + 346863 5.763 * * [simplify]: Extracting #10: cost 86 inf + 367974 5.810 * * [simplify]: Extracting #11: cost 60 inf + 390780 5.866 * * [simplify]: Extracting #12: cost 37 inf + 409533 5.926 * * [simplify]: Extracting #13: cost 22 inf + 424998 6.044 * * [simplify]: Extracting #14: cost 5 inf + 447893 6.121 * * [simplify]: Extracting #15: cost 0 inf + 455918 6.231 * [simplify]: Simplified to (/ (* (log (* n 2)) (- 1 k)) 2), (/ (* (log (* n 2)) (- 1 k)) 2), (/ (* (log (* n 2)) (- 1 k)) 2), (/ (- 1 k) 2), (/ (- 1 k) 2), (pow (* n 2) 1/2), (pow (* n 2) (/ k 2)), (pow (* n 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* n 2) (sqrt (/ (- 1 k) 2))), 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(pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))), (pow n (/ (- 1 k) 2)), (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)), (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))), (pow n (/ (- 1 k) 2)), (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)), (* (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))), (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k))), (/ (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (fabs (cbrt k))), (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (cbrt k))), (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))), (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))), (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))), (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k)), (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))), (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))), (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))), (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k)), (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k))), (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (fabs (cbrt k))), (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (cbrt k))), (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))), (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))), (sqrt (pow (* n 2) (/ (- 1 k) 2))), (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k)), (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))), (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))), (sqrt (pow (* n 2) (/ (- 1 k) 2))), (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k)), (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* n 2) (/ (- 1 k) 2)) (cbrt (sqrt k))), (/ 1 (fabs (cbrt k))), (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (cbrt k))), (/ 1 (sqrt (sqrt k))), (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ 1 1), (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))), 1, (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)), (/ (/ (pow (* n 2) (/ (- 1 k) 4)) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* n 2) (/ (- 1 k) 4)) (cbrt (sqrt k))), (/ (pow (* n 2) (/ (- 1 k) 4)) (fabs (cbrt k))), (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (cbrt k))), (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))), (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))), (pow (* n 2) (/ (- 1 k) 4)), (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt k)), (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))), (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))), (pow (* n 2) (/ (- 1 k) 4)), (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt k)), (/ 1 (sqrt k)), (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))), (/ (pow (* n 2) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n 2) (/ (- 1 k) 2)) (fabs (cbrt k))), (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))), (pow (* n 2) (/ (- 1 k) 2)), (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))), (pow (* n 2) (/ (- 1 k) 2)), (/ (sqrt k) (pow 2 (/ (- 1 k) 2))), (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2)))), (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2)))), (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))), (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 4))), (* (pow (* n 2) (/ k 2)) (sqrt k)), (real->posit16 (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))), (- (+ (+ (+ (* (* 1/8 (* (log 2) (log 2))) (* (exp (* (log (* n 2)) 1/2)) (* k k))) (* (* 1/4 (log 2)) (* (* (exp (* (log (* n 2)) 1/2)) (log n)) (* k k)))) (* 1/8 (* (exp (* (log (* n 2)) 1/2)) (* (* (log n) (log n)) (* k k))))) (exp (* (log (* n 2)) 1/2))) (* 1/2 (+ (* (* k (log n)) (exp (* (log (* n 2)) 1/2))) (* (* (log 2) (exp (* (log (* n 2)) 1/2))) k)))), (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))), (exp (* (* (- 1 k) (- (log -2) (log (/ -1 n)))) 1/2)), (+ (sqrt PI) (- (* 1/8 (* (* (log PI) (log PI)) (* (* k k) (sqrt PI)))) (* 1/2 (* (* k (log PI)) (sqrt PI))))), (exp (* (* (- 1 k) (log PI)) 1/2)), (exp (* (* (- 1 k) (log PI)) 1/2)), (- (- (* +nan.0 (* (* (* PI k) n) (sqrt 2))) (- (* (* +nan.0 (sqrt 2)) (* PI n)) (- (* (* +nan.0 (log 2)) (* (* (* PI k) n) (sqrt 2))) (- (* (* (sqrt 2) (* (* PI n) (* k (log n)))) +nan.0) (- (* (* (* (* PI n) (* k (log PI))) (sqrt 2)) +nan.0) (* (* +nan.0 (sqrt 2)) (* (* PI PI) (* n n))))))))), (- (- (/ (* +nan.0 (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* (* (- 1 k) (log PI)) 1/2)))) (* k k)) (- (* (/ (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* (* (- 1 k) (log PI)) 1/2))) k) +nan.0) (* (/ (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* (* (- 1 k) (log PI)) 1/2))) (* k (* k k))) +nan.0)))), (- (- (* (/ (exp (+ (* (* (- 1 k) (- (log -2) (log (/ -1 n)))) 1/2) (* (* (- 1 k) (log PI)) 1/2))) k) +nan.0) (- (/ (* +nan.0 (exp (+ (* (* (- 1 k) (- (log -2) (log (/ -1 n)))) 1/2) (* (* (- 1 k) (log PI)) 1/2)))) (* k k)) (* +nan.0 (exp (+ (* (* (- 1 k) (- (log -2) (log (/ -1 n)))) 1/2) (* (* (- 1 k) (log PI)) 1/2))))))), (- (- (* (* (exp (* (log (* n 2)) 1/2)) +nan.0) (* k (log n))) (- (* (* +nan.0 (* (log 2) (log 2))) (* (exp (* (log (* n 2)) 1/2)) (* k k))) (- (* (* (* (* (exp (* (log (* n 2)) 1/2)) (log n)) (* k k)) (log 2)) +nan.0) (- (* (* k (exp (* (log (* n 2)) 1/2))) +nan.0) (- (* (* (exp (* (log (* n 2)) 1/2)) +nan.0) (* (* (log n) (log n)) (* k k))) (- (* +nan.0 (* (* (exp (* (log (* n 2)) 1/2)) (log n)) (* k k))) (- (* (* +nan.0 (log 2)) (* (exp (* (log (* n 2)) 1/2)) (* k k))) (- (* (exp (* (log (* n 2)) 1/2)) +nan.0) (- (* +nan.0 (* (* (log 2) (exp (* (log (* n 2)) 1/2))) k)) (* (* (exp (* (log (* n 2)) 1/2)) (* k k)) +nan.0))))))))))), (- (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))) (* k k))) (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))) k)) (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))))) (* k (* k k)))))), (- (- (* (exp (* (* (- 1 k) (- (log -2) (log (/ -1 n)))) 1/2)) +nan.0) (- (* (/ (exp (* (* (- 1 k) (- (log -2) (log (/ -1 n)))) 1/2)) k) +nan.0) (* +nan.0 (/ (exp (* (* (- 1 k) (- (log -2) (log (/ -1 n)))) 1/2)) (* k k)))))) 6.232 * * * * [progress]: [ 1 / 231 ] simplifiying candidate # 6.232 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (exp (/ (* (log (* n 2)) (- 1 k)) 2)) (sqrt k)))) 6.232 * * * * [progress]: [ 2 / 231 ] simplifiying candidate # 6.232 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (exp (/ (* (log (* n 2)) (- 1 k)) 2)) (sqrt k)))) 6.232 * * * * [progress]: [ 3 / 231 ] simplifiying candidate # 6.232 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (exp (/ (* (log (* n 2)) (- 1 k)) 2)) (sqrt k)))) 6.232 * * * * [progress]: [ 4 / 231 ] simplifiying candidate # 6.233 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.233 * * * * [progress]: [ 5 / 231 ] simplifiying candidate # 6.233 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.233 * * * * [progress]: [ 6 / 231 ] simplifiying candidate # 6.233 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) 6.233 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) 6.233 * * * * [progress]: [ 7 / 231 ] simplifiying candidate # 6.233 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))) 6.234 * * * * [progress]: [ 8 / 231 ] simplifiying candidate # 6.234 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))) 6.234 * * * * [progress]: [ 9 / 231 ] simplifiying candidate # 6.234 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k)))) 6.234 * * * * [progress]: [ 10 / 231 ] simplifiying candidate # 6.234 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k))))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k)))) 6.234 * * * * [progress]: [ 11 / 231 ] simplifiying candidate # 6.234 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)) (sqrt k)))) 6.235 * * * * [progress]: [ 12 / 231 ] simplifiying candidate # 6.235 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k)))) 6.235 * * * * [progress]: [ 13 / 231 ] simplifiying candidate # 6.235 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k)))) 6.235 * * * * [progress]: [ 14 / 231 ] simplifiying candidate # 6.235 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)) (sqrt k)))) 6.235 * * * * [progress]: [ 15 / 231 ] simplifiying candidate # 6.235 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))) 6.235 * * * * [progress]: [ 16 / 231 ] simplifiying candidate # 6.236 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))) 6.236 * * * * [progress]: [ 17 / 231 ] simplifiying candidate # 6.236 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.236 * * * * [progress]: [ 18 / 231 ] simplifiying candidate # 6.236 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (/ (/ (+ 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt k)))) 6.236 * * * * [progress]: [ 19 / 231 ] simplifiying candidate # 6.236 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt k)))) 6.236 * * * * [progress]: [ 20 / 231 ] simplifiying candidate # 6.236 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k)))) 6.237 * * * * [progress]: [ 21 / 231 ] simplifiying candidate # 6.237 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (/ (/ (+ 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k)))) 6.237 * * * * [progress]: [ 22 / 231 ] simplifiying candidate # 6.237 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))) 6.237 * * * * [progress]: [ 23 / 231 ] simplifiying candidate # 6.237 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 6.237 * * * * [progress]: [ 24 / 231 ] simplifiying candidate # 6.237 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))) 6.238 * * * * [progress]: [ 25 / 231 ] simplifiying candidate # 6.238 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))) 6.238 * * * * [progress]: [ 26 / 231 ] simplifiying candidate # 6.238 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.238 * * * * [progress]: [ 27 / 231 ] simplifiying candidate # 6.238 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.238 * * * * [progress]: [ 28 / 231 ] simplifiying candidate # 6.238 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (pow (* n 2) (- 1 k)) (/ 1 2)) (sqrt k)))) 6.238 * * * * [progress]: [ 29 / 231 ] simplifiying candidate # 6.239 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt k)))) 6.239 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt k)))) 6.239 * * * * [progress]: [ 30 / 231 ] simplifiying candidate # 6.239 * * * * [progress]: [ 31 / 231 ] simplifiying candidate # 6.239 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (exp (/ (* (log (* n 2)) (- 1 k)) 2)) (sqrt k)))) 6.239 * * * * [progress]: [ 32 / 231 ] simplifiying candidate # 6.239 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (log (exp (pow (* n 2) (/ (- 1 k) 2)))) (sqrt k)))) 6.239 * * * * [progress]: [ 33 / 231 ] simplifiying candidate # 6.239 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt k)))) 6.240 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt k)))) 6.240 * * * * [progress]: [ 34 / 231 ] simplifiying candidate # 6.240 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (cbrt (* (pow (* n 2) (/ (- 1 k) 2)) (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))))) (sqrt k)))) 6.240 * * * * [progress]: [ 35 / 231 ] simplifiying candidate # 6.240 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt k)))) 6.240 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt k)))) 6.240 * * * * [progress]: [ 36 / 231 ] simplifiying candidate # 6.240 * * * * [progress]: [ 37 / 231 ] simplifiying candidate # 6.240 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (* (pow (* n 2) (/ (- 1 k) 4)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)))) 6.241 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (* (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (pow (* n 2) (/ (- 1 k) 4))) (sqrt k)))) 6.241 * * * * [progress]: [ 38 / 231 ] simplifiying candidate #real (real->posit16 (pow (* n 2) (/ (- 1 k) 2)))) (sqrt k))))> 6.241 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (posit16->real (real->posit16 (pow (* n 2) (/ (- 1 k) 2)))) (sqrt k)))) 6.241 * * * * [progress]: [ 39 / 231 ] simplifiying candidate # 6.241 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.241 * * * * [progress]: [ 40 / 231 ] simplifiying candidate # 6.241 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.241 * * * * [progress]: [ 41 / 231 ] simplifiying candidate # 6.241 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.242 * * * * [progress]: [ 42 / 231 ] simplifiying candidate # 6.242 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (sqrt PI) (pow PI (/ k 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.242 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (sqrt PI) (pow PI (/ k 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.242 * * * * [progress]: [ 43 / 231 ] simplifiying candidate # 6.242 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.242 * * * * [progress]: [ 44 / 231 ] simplifiying candidate # 6.242 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.242 * * * * [progress]: [ 45 / 231 ] simplifiying candidate # 6.242 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.243 * * * * [progress]: [ 46 / 231 ] simplifiying candidate # 6.243 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k))))) (/ (cbrt (- 1 k)) (sqrt 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.243 * * * * [progress]: [ 47 / 231 ] simplifiying candidate # 6.243 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.243 * * * * [progress]: [ 48 / 231 ] simplifiying candidate # 6.243 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.243 * * * * [progress]: [ 49 / 231 ] simplifiying candidate # 6.243 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.244 * * * * [progress]: [ 50 / 231 ] simplifiying candidate # 6.244 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.244 * * * * [progress]: [ 51 / 231 ] simplifiying candidate # 6.244 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.244 * * * * [progress]: [ 52 / 231 ] simplifiying candidate # 6.244 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.244 * * * * [progress]: [ 53 / 231 ] simplifiying candidate # 6.244 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.244 * * * * [progress]: [ 54 / 231 ] simplifiying candidate # 6.244 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (/ (/ (+ 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.245 * * * * [progress]: [ 55 / 231 ] simplifiying candidate # 6.245 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.245 * * * * [progress]: [ 56 / 231 ] simplifiying candidate # 6.245 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.245 * * * * [progress]: [ 57 / 231 ] simplifiying candidate # 6.245 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (/ (/ (+ 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.245 * * * * [progress]: [ 58 / 231 ] simplifiying candidate # 6.245 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.246 * * * * [progress]: [ 59 / 231 ] simplifiying candidate # 6.246 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.246 * * * * [progress]: [ 60 / 231 ] simplifiying candidate # 6.246 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.246 * * * * [progress]: [ 61 / 231 ] simplifiying candidate # 6.246 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.246 * * * * [progress]: [ 62 / 231 ] simplifiying candidate # 6.246 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.248 * * * * [progress]: [ 63 / 231 ] simplifiying candidate # 6.248 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.248 * * * * [progress]: [ 64 / 231 ] simplifiying candidate # 6.248 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow PI (- 1 k)) (/ 1 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.249 * * * * [progress]: [ 65 / 231 ] simplifiying candidate # 6.249 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow (* (cbrt PI) (cbrt PI)) (/ (- 1 k) 2)) (pow (cbrt PI) (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.249 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (pow (* (cbrt PI) (cbrt PI)) (/ (- 1 k) 2)) (pow (cbrt PI) (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.249 * * * * [progress]: [ 66 / 231 ] simplifiying candidate # 6.249 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow (sqrt PI) (/ (- 1 k) 2)) (pow (sqrt PI) (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.249 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (pow (sqrt PI) (/ (- 1 k) 2)) (pow (sqrt PI) (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.249 * * * * [progress]: [ 67 / 231 ] simplifiying candidate # 6.249 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (pow PI (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.249 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (pow PI (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.250 * * * * [progress]: [ 68 / 231 ] simplifiying candidate # 6.250 * * * * [progress]: [ 69 / 231 ] simplifiying candidate # 6.250 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.250 * * * * [progress]: [ 70 / 231 ] simplifiying candidate # 6.250 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (log (exp (pow PI (/ (- 1 k) 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.250 * * * * [progress]: [ 71 / 231 ] simplifiying candidate # 6.250 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (cbrt (pow PI (/ (- 1 k) 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.250 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (cbrt (pow PI (/ (- 1 k) 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.251 * * * * [progress]: [ 72 / 231 ] simplifiying candidate # 6.251 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (* (pow PI (/ (- 1 k) 2)) (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.251 * * * * [progress]: [ 73 / 231 ] simplifiying candidate # 6.251 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (pow PI (/ (- 1 k) 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.251 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (pow PI (/ (- 1 k) 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.251 * * * * [progress]: [ 74 / 231 ] simplifiying candidate # 6.251 * * * * [progress]: [ 75 / 231 ] simplifiying candidate # 6.251 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow PI (/ (- 1 k) 4)) (pow PI (/ (/ (- 1 k) 2) 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.251 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (pow PI (/ (/ (- 1 k) 2) 2)) (pow PI (/ (- 1 k) 4))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.252 * * * * [progress]: [ 76 / 231 ] simplifiying candidate #real (real->posit16 (pow PI (/ (- 1 k) 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))> 6.252 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (posit16->real (real->posit16 (pow PI (/ (- 1 k) 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.252 * * * * [progress]: [ 77 / 231 ] simplifiying candidate # 6.252 * * * * [progress]: [ 78 / 231 ] simplifiying candidate # 6.252 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k))) (* (/ (- 1 k) 2) (log PI))))) 6.252 * * * * [progress]: [ 79 / 231 ] simplifiying candidate # 6.252 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k))) (* (/ (- 1 k) 2) (log PI))))) 6.252 * * * * [progress]: [ 80 / 231 ] simplifiying candidate # 6.252 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k))) (* (/ (- 1 k) 2) (log PI))))) 6.253 * * * * [progress]: [ 81 / 231 ] simplifiying candidate # 6.253 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k))) (* (/ (- 1 k) 2) (log PI))))) 6.253 * * * * [progress]: [ 82 / 231 ] simplifiying candidate # 6.253 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k))) (* (/ (- 1 k) 2) (log PI))))) 6.253 * * * * [progress]: [ 83 / 231 ] simplifiying candidate # 6.253 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k))) (* (/ (- 1 k) 2) (log PI))))) 6.253 * * * * [progress]: [ 84 / 231 ] simplifiying candidate # 6.253 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k))) (* (/ (- 1 k) 2) (log PI))))) 6.253 * * * * [progress]: [ 85 / 231 ] simplifiying candidate # 6.254 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k))) (* (/ (- 1 k) 2) (log PI))))) 6.254 * * * * [progress]: [ 86 / 231 ] simplifiying candidate # 6.254 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k))) (* (/ (- 1 k) 2) (log PI))))) 6.254 * * * * [progress]: [ 87 / 231 ] simplifiying candidate # 6.254 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k))) (* (/ (- 1 k) 2) (log PI))))) 6.254 * * * * [progress]: [ 88 / 231 ] simplifiying candidate # 6.254 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k))) (* (/ (- 1 k) 2) (log PI))))) 6.255 * * * * [progress]: [ 89 / 231 ] simplifiying candidate # 6.255 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k))) (* (/ (- 1 k) 2) (log PI))))) 6.255 * * * * [progress]: [ 90 / 231 ] simplifiying candidate # 6.255 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k))) (* (/ (- 1 k) 2) (log PI))))) 6.255 * * * * [progress]: [ 91 / 231 ] simplifiying candidate # 6.255 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k))) (* (/ (- 1 k) 2) (log PI))))) 6.255 * * * * [progress]: [ 92 / 231 ] simplifiying candidate # 6.255 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k))) (* (/ (- 1 k) 2) (log PI))))) 6.255 * * * * [progress]: [ 93 / 231 ] simplifiying candidate # 6.255 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k))) (* (/ (- 1 k) 2) (log PI))))) 6.256 * * * * [progress]: [ 94 / 231 ] simplifiying candidate # 6.256 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 6.256 * * * * [progress]: [ 95 / 231 ] simplifiying candidate # 6.256 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow PI (/ (- 1 k) 2)) (/ (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))) (/ (* (sqrt k) k) (pow (* n 2) (/ (- 1 k) 2)))))))) 6.256 * * * * [progress]: [ 96 / 231 ] simplifiying candidate # 6.256 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow PI (/ (- 1 k) 2)) (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 6.256 * * * * [progress]: [ 97 / 231 ] simplifiying candidate # 6.257 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2)))) (cbrt (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) (cbrt (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 6.257 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) (cbrt (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 6.257 * * * * [progress]: [ 98 / 231 ] simplifiying candidate # 6.257 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow PI (- 1 k)) (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (pow PI (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 6.257 * * * * [progress]: [ 99 / 231 ] simplifiying candidate # 6.257 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2)))) (sqrt (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 6.257 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (sqrt (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 6.258 * * * * [progress]: [ 100 / 231 ] simplifiying candidate # 6.258 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow (* n 2) (/ (- 1 k) 2)) (sqrt PI)) (* (pow PI (/ k 2)) (sqrt k)))) 6.258 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* n 2) (/ (- 1 k) 2)) (sqrt PI)) (* (pow PI (/ k 2)) (sqrt k)))) 6.258 * * * * [progress]: [ 101 / 231 ] simplifiying candidate # 6.258 * * * * [progress]: [ 102 / 231 ] simplifiying candidate # 6.258 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt PI) (/ (- 1 k) 2)) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (* (pow (sqrt PI) (/ (- 1 k) 2)) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 6.258 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt PI) (/ (- 1 k) 2)) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (* (pow (sqrt PI) (/ (- 1 k) 2)) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 6.258 * * * * [progress]: [ 103 / 231 ] simplifiying candidate # 6.258 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (pow (sqrt PI) (/ (- 1 k) 2))) (* (pow (sqrt PI) (/ (- 1 k) 2)) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 6.259 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt PI) (/ (- 1 k) 2)) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (pow (sqrt PI) (/ (- 1 k) 2))))) 6.259 * * * * [progress]: [ 104 / 231 ] simplifiying candidate # 6.259 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (pow (sqrt PI) (/ (- 1 k) 2))) (* (pow (sqrt PI) (/ (- 1 k) 2)) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 6.259 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt PI) (/ (- 1 k) 2)) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (pow (sqrt PI) (/ (- 1 k) 2))))) 6.259 * * * * [progress]: [ 105 / 231 ] simplifiying candidate # 6.259 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow (sqrt PI) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 4))) (sqrt (sqrt k))) (* (pow (sqrt PI) (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))) 6.259 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt PI) (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (/ (* (pow (sqrt PI) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 4))) (sqrt (sqrt k))))) 6.260 * * * * [progress]: [ 106 / 231 ] simplifiying candidate # 6.260 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow (sqrt PI) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 4))) (sqrt (sqrt k))) (* (pow (sqrt PI) (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))) 6.260 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt PI) (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (/ (* (pow (sqrt PI) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 4))) (sqrt (sqrt k))))) 6.260 * * * * [progress]: [ 107 / 231 ] simplifiying candidate # 6.260 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (sqrt (pow PI (/ (- 1 k) 2)))) (* (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 6.260 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (* (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (sqrt (pow PI (/ (- 1 k) 2)))))) 6.260 * * * * [progress]: [ 108 / 231 ] simplifiying candidate # 6.261 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1 k) 2)))) (* (sqrt (pow PI (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 6.261 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1 k) 2)))))) 6.261 * * * * [progress]: [ 109 / 231 ] simplifiying candidate # 6.261 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1 k) 2)))) (* (sqrt (pow PI (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 6.261 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1 k) 2)))))) 6.261 * * * * [progress]: [ 110 / 231 ] simplifiying candidate # 6.261 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1 k) 2)))) (* (sqrt (pow PI (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))) 6.262 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (* (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1 k) 2)))))) 6.262 * * * * [progress]: [ 111 / 231 ] simplifiying candidate # 6.262 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1 k) 2)))) (* (sqrt (pow PI (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))) 6.262 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (* (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1 k) 2)))))) 6.262 * * * * [progress]: [ 112 / 231 ] simplifiying candidate # 6.262 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (pow PI (/ (- 1 k) 4))) (* (pow PI (/ (/ (- 1 k) 2) 2)) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 6.262 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow PI (/ (/ (- 1 k) 2) 2)) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (* (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (pow PI (/ (- 1 k) 4))))) 6.263 * * * * [progress]: [ 113 / 231 ] simplifiying candidate # 6.263 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (pow PI (/ (- 1 k) 4))) (* (pow PI (/ (/ (- 1 k) 2) 2)) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 6.263 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow PI (/ (/ (- 1 k) 2) 2)) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (pow PI (/ (- 1 k) 4))))) 6.263 * * * * [progress]: [ 114 / 231 ] simplifiying candidate # 6.263 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (pow PI (/ (- 1 k) 4))) (* (pow PI (/ (/ (- 1 k) 2) 2)) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 6.264 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow PI (/ (/ (- 1 k) 2) 2)) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (pow PI (/ (- 1 k) 4))))) 6.264 * * * * [progress]: [ 115 / 231 ] simplifiying candidate # 6.264 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow PI (/ (- 1 k) 4)) (pow (* n 2) (/ (- 1 k) 4))) (sqrt (sqrt k))) (* (pow PI (/ (/ (- 1 k) 2) 2)) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))) 6.264 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow PI (/ (/ (- 1 k) 2) 2)) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (/ (* (pow PI (/ (- 1 k) 4)) (pow (* n 2) (/ (- 1 k) 4))) (sqrt (sqrt k))))) 6.264 * * * * [progress]: [ 116 / 231 ] simplifiying candidate # 6.264 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow PI (/ (- 1 k) 4)) (pow (* n 2) (/ (- 1 k) 4))) (sqrt (sqrt k))) (* (pow PI (/ (/ (- 1 k) 2) 2)) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))) 6.265 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow PI (/ (/ (- 1 k) 2) 2)) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (/ (* (pow PI (/ (- 1 k) 4)) (pow (* n 2) (/ (- 1 k) 4))) (sqrt (sqrt k))))) 6.265 * * * * [progress]: [ 117 / 231 ] simplifiying candidate # 6.265 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (* (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 6.265 * * * * [progress]: [ 118 / 231 ] simplifiying candidate # 6.265 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (pow PI (/ (- 1 k) 2))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 6.265 * * * * [progress]: [ 119 / 231 ] simplifiying candidate # 6.265 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow PI (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (/ (- 1 k) 2)) (cbrt (sqrt k))))) 6.265 * * * * [progress]: [ 120 / 231 ] simplifiying candidate # 6.266 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (pow PI (/ (- 1 k) 2))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (cbrt k))))) 6.266 * * * * [progress]: [ 121 / 231 ] simplifiying candidate # 6.266 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow PI (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))))) 6.266 * * * * [progress]: [ 122 / 231 ] simplifiying candidate # 6.266 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))) 6.266 * * * * [progress]: [ 123 / 231 ] simplifiying candidate # 6.266 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow PI (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))))) 6.266 * * * * [progress]: [ 124 / 231 ] simplifiying candidate # 6.266 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))) 6.267 * * * * [progress]: [ 125 / 231 ] simplifiying candidate # 6.267 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (pow PI (/ (- 1 k) 2))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 6.267 * * * * [progress]: [ 126 / 231 ] simplifiying candidate # 6.267 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow PI (/ (- 1 k) 2)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (fabs (cbrt k))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 6.267 * * * * [progress]: [ 127 / 231 ] simplifiying candidate # 6.267 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 6.267 * * * * [progress]: [ 128 / 231 ] simplifiying candidate # 6.268 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k)))) 6.268 * * * * [progress]: [ 129 / 231 ] simplifiying candidate # 6.268 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 6.268 * * * * [progress]: [ 130 / 231 ] simplifiying candidate # 6.268 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k)))) 6.268 * * * * [progress]: [ 131 / 231 ] simplifiying candidate # 6.268 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow PI (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 6.268 * * * * [progress]: [ 132 / 231 ] simplifiying candidate # 6.269 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow PI (/ (- 1 k) 2)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 6.269 * * * * [progress]: [ 133 / 231 ] simplifiying candidate # 6.269 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (pow PI (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 6.269 * * * * [progress]: [ 134 / 231 ] simplifiying candidate # 6.269 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k)))) 6.269 * * * * [progress]: [ 135 / 231 ] simplifiying candidate # 6.269 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (pow PI (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 6.269 * * * * [progress]: [ 136 / 231 ] simplifiying candidate # 6.269 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k)))) 6.270 * * * * [progress]: [ 137 / 231 ] simplifiying candidate # 6.270 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow PI (/ (- 1 k) 2)) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 6.270 * * * * [progress]: [ 138 / 231 ] simplifiying candidate # 6.270 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (pow PI (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 6.270 * * * * [progress]: [ 139 / 231 ] simplifiying candidate # 6.270 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow PI (/ (- 1 k) 2)) 1) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 6.271 * * * * [progress]: [ 140 / 231 ] simplifiying candidate # 6.271 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 1) (pow PI (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.271 * * * * [progress]: [ 141 / 231 ] simplifiying candidate # 6.271 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow PI (/ (- 1 k) 2)) 1) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 6.271 * * * * [progress]: [ 142 / 231 ] simplifiying candidate # 6.271 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.271 * * * * [progress]: [ 143 / 231 ] simplifiying candidate # 6.271 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (/ (pow (* n 2) (/ (- 1 k) 4)) (cbrt (sqrt k))) (cbrt (sqrt k))) (pow PI (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) 6.271 * * * * [progress]: [ 144 / 231 ] simplifiying candidate # 6.272 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow PI (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 4))) (fabs (cbrt k))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))))) 6.272 * * * * [progress]: [ 145 / 231 ] simplifiying candidate # 6.272 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow PI (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 4))) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 6.272 * * * * [progress]: [ 146 / 231 ] simplifiying candidate # 6.272 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 4))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 6.272 * * * * [progress]: [ 147 / 231 ] simplifiying candidate # 6.272 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow PI (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 4))) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 6.272 * * * * [progress]: [ 148 / 231 ] simplifiying candidate # 6.273 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 4))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 6.273 * * * * [progress]: [ 149 / 231 ] simplifiying candidate # 6.273 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.273 * * * * [progress]: [ 150 / 231 ] simplifiying candidate # 6.273 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 6.273 * * * * [progress]: [ 151 / 231 ] simplifiying candidate # 6.273 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* (cbrt PI) (cbrt PI)) (/ (- 1 k) 2)) (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (pow (cbrt PI) (/ (- 1 k) 2))))) 6.273 * * * * [progress]: [ 152 / 231 ] simplifiying candidate # 6.273 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (sqrt PI) (/ (- 1 k) 2)) (* (pow (sqrt PI) (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 6.274 * * * * [progress]: [ 153 / 231 ] simplifiying candidate # 6.274 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 1 (/ (- 1 k) 2)) (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 6.274 * * * * [progress]: [ 154 / 231 ] simplifiying candidate # 6.274 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (cbrt (pow PI (/ (- 1 k) 2)))))) 6.274 * * * * [progress]: [ 155 / 231 ] simplifiying candidate # 6.274 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (/ (- 1 k) 2))) (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (sqrt (pow PI (/ (- 1 k) 2)))))) 6.274 * * * * [progress]: [ 156 / 231 ] simplifiying candidate # 6.274 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 6.274 * * * * [progress]: [ 157 / 231 ] simplifiying candidate # 6.274 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow PI (/ (/ (- 1 k) 2) 2)) (* (pow PI (/ (- 1 k) 4)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 6.275 * * * * [progress]: [ 158 / 231 ] simplifiying candidate # 6.275 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow (* n 2) (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt k))) 6.275 * * * * [progress]: [ 159 / 231 ] simplifiying candidate # 6.275 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (* (sqrt PI) (pow (* n 2) (/ (- 1 k) 2))) (sqrt k)) (pow PI (/ k 2)))) 6.275 * * * * [progress]: [ 160 / 231 ] simplifiying candidate #real (real->posit16 (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))))> 6.275 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 6.275 * * * * [progress]: [ 161 / 231 ] simplifiying candidate # 6.275 * * * * [progress]: [ 162 / 231 ] simplifiying candidate # 6.275 * * * * [progress]: [ 163 / 231 ] simplifiying candidate # 6.275 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (exp (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k)))))) 6.276 * * * * [progress]: [ 164 / 231 ] simplifiying candidate # 6.276 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (exp (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k)))))) 6.276 * * * * [progress]: [ 165 / 231 ] simplifiying candidate # 6.276 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (exp (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k)))))) 6.276 * * * * [progress]: [ 166 / 231 ] simplifiying candidate # 6.276 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (exp (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k)))))) 6.276 * * * * [progress]: [ 167 / 231 ] simplifiying candidate # 6.276 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (exp (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k)))))) 6.276 * * * * [progress]: [ 168 / 231 ] simplifiying candidate # 6.276 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (log (exp (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 6.277 * * * * [progress]: [ 169 / 231 ] simplifiying candidate # 6.277 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (cbrt (/ (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))) (/ (* (sqrt k) k) (pow (* n 2) (/ (- 1 k) 2))))))) 6.277 * * * * [progress]: [ 170 / 231 ] simplifiying candidate # 6.277 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (* (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 6.277 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (* (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 6.277 * * * * [progress]: [ 171 / 231 ] simplifiying candidate # 6.277 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (cbrt (* (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 6.278 * * * * [progress]: [ 172 / 231 ] simplifiying candidate # 6.278 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 6.278 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 6.278 * * * * [progress]: [ 173 / 231 ] simplifiying candidate # 6.278 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (- (pow (* n 2) (/ (- 1 k) 2))) (- (sqrt k))))) 6.278 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (- (pow (* n 2) (/ (- 1 k) 2))) (- (sqrt k))))) 6.278 * * * * [progress]: [ 174 / 231 ] simplifiying candidate # 6.278 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow 2 (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 6.279 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 6.279 * * * * [progress]: [ 175 / 231 ] simplifiying candidate # 6.279 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 6.279 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 6.279 * * * * [progress]: [ 176 / 231 ] simplifiying candidate # 6.279 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 6.279 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 6.280 * * * * [progress]: [ 177 / 231 ] simplifiying candidate # 6.280 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (pow n (/ (- 1 k) 2)) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k))))) 6.280 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (pow n (/ (- 1 k) 2)) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k))))) 6.280 * * * * [progress]: [ 178 / 231 ] simplifiying candidate # 6.280 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 6.280 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 6.280 * * * * [progress]: [ 179 / 231 ] simplifiying candidate # 6.280 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (pow n (/ (- 1 k) 2)) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k))))) 6.280 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (pow n (/ (- 1 k) 2)) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k))))) 6.281 * * * * [progress]: [ 180 / 231 ] simplifiying candidate # 6.281 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (* (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))))) 6.281 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (* (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))))) 6.281 * * * * [progress]: [ 181 / 231 ] simplifiying candidate # 6.281 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (cbrt k)))))) 6.281 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (cbrt k)))))) 6.281 * * * * [progress]: [ 182 / 231 ] simplifiying candidate # 6.282 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 6.282 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 6.282 * * * * [progress]: [ 183 / 231 ] simplifiying candidate # 6.282 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))) 6.282 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))) 6.282 * * * * [progress]: [ 184 / 231 ] simplifiying candidate # 6.282 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 6.283 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 6.283 * * * * [progress]: [ 185 / 231 ] simplifiying candidate # 6.283 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))) 6.283 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))) 6.283 * * * * [progress]: [ 186 / 231 ] simplifiying candidate # 6.283 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))))) 6.283 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))))) 6.284 * * * * [progress]: [ 187 / 231 ] simplifiying candidate # 6.284 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (cbrt k)))))) 6.284 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (cbrt k)))))) 6.284 * * * * [progress]: [ 188 / 231 ] simplifiying candidate # 6.284 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 6.284 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 6.284 * * * * [progress]: [ 189 / 231 ] simplifiying candidate # 6.285 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))) 6.285 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))) 6.285 * * * * [progress]: [ 190 / 231 ] simplifiying candidate # 6.285 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 6.285 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 6.285 * * * * [progress]: [ 191 / 231 ] simplifiying candidate # 6.285 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))) 6.286 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))) 6.286 * * * * [progress]: [ 192 / 231 ] simplifiying candidate # 6.286 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 6.286 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 6.286 * * * * [progress]: [ 193 / 231 ] simplifiying candidate # 6.286 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 6.286 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 6.286 * * * * [progress]: [ 194 / 231 ] simplifiying candidate # 6.287 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 6.287 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 6.287 * * * * [progress]: [ 195 / 231 ] simplifiying candidate # 6.287 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ 1 1) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 6.287 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ 1 1) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 6.287 * * * * [progress]: [ 196 / 231 ] simplifiying candidate # 6.287 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 6.287 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 6.288 * * * * [progress]: [ 197 / 231 ] simplifiying candidate # 6.288 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* 1 (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 6.288 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* 1 (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 6.288 * * * * [progress]: [ 198 / 231 ] simplifiying candidate # 6.288 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (/ (pow (* n 2) (/ (- 1 k) 4)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))))) 6.288 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- 1 k) 4)) (cbrt (sqrt k)))))) 6.288 * * * * [progress]: [ 199 / 231 ] simplifiying candidate # 6.288 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (pow (* n 2) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))) 6.289 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (cbrt k)))))) 6.289 * * * * [progress]: [ 200 / 231 ] simplifiying candidate # 6.289 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))) 6.289 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k)))))) 6.289 * * * * [progress]: [ 201 / 231 ] simplifiying candidate # 6.289 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (pow (* n 2) (/ (- 1 k) 4)) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt k))))) 6.289 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt k))))) 6.290 * * * * [progress]: [ 202 / 231 ] simplifiying candidate # 6.290 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))) 6.290 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k)))))) 6.290 * * * * [progress]: [ 203 / 231 ] simplifiying candidate # 6.290 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (pow (* n 2) (/ (- 1 k) 4)) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt k))))) 6.290 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt k))))) 6.290 * * * * [progress]: [ 204 / 231 ] simplifiying candidate # 6.291 * * * * [progress]: [ 205 / 231 ] simplifiying candidate # 6.291 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (* (pow (* n 2) (/ (- 1 k) 2)) (/ 1 (sqrt k))))) 6.291 * * * * [progress]: [ 206 / 231 ] simplifiying candidate # 6.291 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 6.291 * * * * [progress]: [ 207 / 231 ] simplifiying candidate # 6.291 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (/ (pow (* n 2) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 6.291 * * * * [progress]: [ 208 / 231 ] simplifiying candidate # 6.291 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (/ (pow (* n 2) (/ (- 1 k) 2)) (fabs (cbrt k))) (sqrt (cbrt k))))) 6.291 * * * * [progress]: [ 209 / 231 ] simplifiying candidate # 6.291 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 6.292 * * * * [progress]: [ 210 / 231 ] simplifiying candidate # 6.292 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.292 * * * * [progress]: [ 211 / 231 ] simplifiying candidate # 6.292 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 6.292 * * * * [progress]: [ 212 / 231 ] simplifiying candidate # 6.292 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.292 * * * * [progress]: [ 213 / 231 ] simplifiying candidate # 6.292 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))))) 6.292 * * * * [progress]: [ 214 / 231 ] simplifiying candidate # 6.292 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 6.293 * * * * [progress]: [ 215 / 231 ] simplifiying candidate # 6.293 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 6.293 * * * * [progress]: [ 216 / 231 ] simplifiying candidate # 6.293 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 6.293 * * * * [progress]: [ 217 / 231 ] simplifiying candidate # 6.293 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 4)))))) 6.293 * * * * [progress]: [ 218 / 231 ] simplifiying candidate # 6.293 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (pow (* n 2) (/ 1 2)) (* (pow (* n 2) (/ k 2)) (sqrt k))))) 6.293 * * * * [progress]: [ 219 / 231 ] simplifiying candidate #real (real->posit16 (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))))> 6.294 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (posit16->real (real->posit16 (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 6.294 * * * * [progress]: [ 220 / 231 ] simplifiying candidate # 6.294 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (- (+ (+ (+ (* (* 1/8 (* (log 2) (log 2))) (* (exp (* (log (* n 2)) 1/2)) (* k k))) (* (* 1/4 (log 2)) (* (* (exp (* (log (* n 2)) 1/2)) (log n)) (* k k)))) (* 1/8 (* (exp (* (log (* n 2)) 1/2)) (* (* (log n) (log n)) (* k k))))) (exp (* (log (* n 2)) 1/2))) (* 1/2 (+ (* (* k (log n)) (exp (* (log (* n 2)) 1/2))) (* (* (log 2) (exp (* (log (* n 2)) 1/2))) k)))) (sqrt k)))) 6.294 * * * * [progress]: [ 221 / 231 ] simplifiying candidate # 6.294 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))) (sqrt k)))) 6.295 * * * * [progress]: [ 222 / 231 ] simplifiying candidate # 6.295 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (/ (exp (* (* (- 1 k) (- (log -2) (log (/ -1 n)))) 1/2)) (sqrt k)))) 6.295 * * * * [progress]: [ 223 / 231 ] simplifiying candidate # 6.295 * [simplify]: Simplified (2 1) to (λ (k n) (* (+ (sqrt PI) (- (* 1/8 (* (* (log PI) (log PI)) (* (* k k) (sqrt PI)))) (* 1/2 (* (* k (log PI)) (sqrt PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.295 * * * * [progress]: [ 224 / 231 ] simplifiying candidate # 6.295 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (* (- 1 k) (log PI)) 1/2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.295 * * * * [progress]: [ 225 / 231 ] simplifiying candidate # 6.295 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (* (- 1 k) (log PI)) 1/2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 6.296 * * * * [progress]: [ 226 / 231 ] simplifiying candidate # 6.296 * [simplify]: Simplified (2) to (λ (k n) (- (- (* +nan.0 (* (* (* PI k) n) (sqrt 2))) (- (* (* +nan.0 (sqrt 2)) (* PI n)) (- (* (* +nan.0 (log 2)) (* (* (* PI k) n) (sqrt 2))) (- (* (* (sqrt 2) (* (* PI n) (* k (log n)))) +nan.0) (- (* (* (* (* PI n) (* k (log PI))) (sqrt 2)) +nan.0) (* (* +nan.0 (sqrt 2)) (* (* PI PI) (* n n)))))))))) 6.296 * * * * [progress]: [ 227 / 231 ] simplifiying candidate # 6.296 * [simplify]: Simplified (2) to (λ (k n) (- (- (/ (* +nan.0 (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* (* (- 1 k) (log PI)) 1/2)))) (* k k)) (- (* (/ (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* (* (- 1 k) (log PI)) 1/2))) k) +nan.0) (* (/ (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* (* (- 1 k) (log PI)) 1/2))) (* k (* k k))) +nan.0))))) 6.297 * * * * [progress]: [ 228 / 231 ] simplifiying candidate # 6.297 * [simplify]: Simplified (2) to (λ (k n) (- (- (* (/ (exp (+ (* (* (- 1 k) (- (log -2) (log (/ -1 n)))) 1/2) (* (* (- 1 k) (log PI)) 1/2))) k) +nan.0) (- (/ (* +nan.0 (exp (+ (* (* (- 1 k) (- (log -2) (log (/ -1 n)))) 1/2) (* (* (- 1 k) (log PI)) 1/2)))) (* k k)) (* +nan.0 (exp (+ (* (* (- 1 k) (- (log -2) (log (/ -1 n)))) 1/2) (* (* (- 1 k) (log PI)) 1/2)))))))) 6.297 * * * * [progress]: [ 229 / 231 ] simplifiying candidate # 6.297 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (- (- (* (* (exp (* (log (* n 2)) 1/2)) +nan.0) (* k (log n))) (- (* (* +nan.0 (* (log 2) (log 2))) (* (exp (* (log (* n 2)) 1/2)) (* k k))) (- (* (* (* (* (exp (* (log (* n 2)) 1/2)) (log n)) (* k k)) (log 2)) +nan.0) (- (* (* k (exp (* (log (* n 2)) 1/2))) +nan.0) (- (* (* (exp (* (log (* n 2)) 1/2)) +nan.0) (* (* (log n) (log n)) (* k k))) (- (* +nan.0 (* (* (exp (* (log (* n 2)) 1/2)) (log n)) (* k k))) (- (* (* +nan.0 (log 2)) (* (exp (* (log (* n 2)) 1/2)) (* k k))) (- (* (exp (* (log (* n 2)) 1/2)) +nan.0) (- (* +nan.0 (* (* (log 2) (exp (* (log (* n 2)) 1/2))) k)) (* (* (exp (* (log (* n 2)) 1/2)) (* k k)) +nan.0))))))))))))) 6.299 * * * * [progress]: [ 230 / 231 ] simplifiying candidate # 6.299 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (- (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))) (* k k))) (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))) k)) (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))))) (* k (* k k)))))))) 6.299 * * * * [progress]: [ 231 / 231 ] simplifiying candidate # 6.299 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow PI (/ (- 1 k) 2)) (- (- (* (exp (* (* (- 1 k) (- (log -2) (log (/ -1 n)))) 1/2)) +nan.0) (- (* (/ (exp (* (* (- 1 k) (- (log -2) (log (/ -1 n)))) 1/2)) k) +nan.0) (* +nan.0 (/ (exp (* (* (- 1 k) (- (log -2) (log (/ -1 n)))) 1/2)) (* k k)))))))) 6.300 * * * [progress]: adding candidates to table 9.116 * * [progress]: iteration 3 / 4 9.116 * * * [progress]: picking best candidate 9.157 * * * * [pick]: Picked # 9.157 * * * [progress]: localizing error 9.208 * * * [progress]: generating rewritten candidates 9.208 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 9.215 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 9.252 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 9.260 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 9.296 * * * [progress]: generating series expansions 9.296 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 9.296 * [backup-simplify]: Simplify (pow (* n 2) (/ (- 1 k) 2)) into (pow (* 2 n) (* 1/2 (- 1 k))) 9.296 * [approximate]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in (n k) around 0 9.296 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in k 9.296 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in k 9.296 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in k 9.296 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 9.296 * [taylor]: Taking taylor expansion of 1/2 in k 9.296 * [backup-simplify]: Simplify 1/2 into 1/2 9.296 * [taylor]: Taking taylor expansion of (- 1 k) in k 9.296 * [taylor]: Taking taylor expansion of 1 in k 9.296 * [backup-simplify]: Simplify 1 into 1 9.296 * [taylor]: Taking taylor expansion of k in k 9.296 * [backup-simplify]: Simplify 0 into 0 9.296 * [backup-simplify]: Simplify 1 into 1 9.296 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k 9.297 * [taylor]: Taking taylor expansion of (* 2 n) in k 9.297 * [taylor]: Taking taylor expansion of 2 in k 9.297 * [backup-simplify]: Simplify 2 into 2 9.297 * [taylor]: Taking taylor expansion of n in k 9.297 * [backup-simplify]: Simplify n into n 9.297 * [backup-simplify]: Simplify (* 2 n) into (* 2 n) 9.297 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n)) 9.298 * [backup-simplify]: Simplify (- 0) into 0 9.298 * [backup-simplify]: Simplify (+ 1 0) into 1 9.299 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.299 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 9.299 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 9.299 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in n 9.299 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in n 9.299 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in n 9.299 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 9.299 * [taylor]: Taking taylor expansion of 1/2 in n 9.299 * [backup-simplify]: Simplify 1/2 into 1/2 9.299 * [taylor]: Taking taylor expansion of (- 1 k) in n 9.299 * [taylor]: Taking taylor expansion of 1 in n 9.299 * [backup-simplify]: Simplify 1 into 1 9.299 * [taylor]: Taking taylor expansion of k in n 9.299 * [backup-simplify]: Simplify k into k 9.299 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 9.299 * [taylor]: Taking taylor expansion of (* 2 n) in n 9.299 * [taylor]: Taking taylor expansion of 2 in n 9.299 * [backup-simplify]: Simplify 2 into 2 9.299 * [taylor]: Taking taylor expansion of n in n 9.299 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify 1 into 1 9.300 * [backup-simplify]: Simplify (* 2 0) into 0 9.301 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 9.301 * [backup-simplify]: Simplify (log 2) into (log 2) 9.302 * [backup-simplify]: Simplify (- k) into (- k) 9.302 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 9.302 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 9.303 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.303 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) 9.304 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 9.304 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in n 9.304 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in n 9.304 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in n 9.304 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 9.304 * [taylor]: Taking taylor expansion of 1/2 in n 9.304 * [backup-simplify]: Simplify 1/2 into 1/2 9.304 * [taylor]: Taking taylor expansion of (- 1 k) in n 9.304 * [taylor]: Taking taylor expansion of 1 in n 9.304 * [backup-simplify]: Simplify 1 into 1 9.304 * [taylor]: Taking taylor expansion of k in n 9.304 * [backup-simplify]: Simplify k into k 9.304 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 9.304 * [taylor]: Taking taylor expansion of (* 2 n) in n 9.304 * [taylor]: Taking taylor expansion of 2 in n 9.304 * [backup-simplify]: Simplify 2 into 2 9.304 * [taylor]: Taking taylor expansion of n in n 9.304 * [backup-simplify]: Simplify 0 into 0 9.304 * [backup-simplify]: Simplify 1 into 1 9.305 * [backup-simplify]: Simplify (* 2 0) into 0 9.306 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 9.306 * [backup-simplify]: Simplify (log 2) into (log 2) 9.306 * [backup-simplify]: Simplify (- k) into (- k) 9.306 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 9.306 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 9.307 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.308 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) 9.308 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 9.308 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) in k 9.308 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) in k 9.308 * [taylor]: Taking taylor expansion of 1/2 in k 9.309 * [backup-simplify]: Simplify 1/2 into 1/2 9.309 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log 2) (log n))) in k 9.309 * [taylor]: Taking taylor expansion of (- 1 k) in k 9.309 * [taylor]: Taking taylor expansion of 1 in k 9.309 * [backup-simplify]: Simplify 1 into 1 9.309 * [taylor]: Taking taylor expansion of k in k 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify 1 into 1 9.309 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k 9.309 * [taylor]: Taking taylor expansion of (log 2) in k 9.309 * [taylor]: Taking taylor expansion of 2 in k 9.309 * [backup-simplify]: Simplify 2 into 2 9.309 * [backup-simplify]: Simplify (log 2) into (log 2) 9.309 * [taylor]: Taking taylor expansion of (log n) in k 9.309 * [taylor]: Taking taylor expansion of n in k 9.309 * [backup-simplify]: Simplify n into n 9.309 * [backup-simplify]: Simplify (log n) into (log n) 9.309 * [backup-simplify]: Simplify (- 0) into 0 9.310 * [backup-simplify]: Simplify (+ 1 0) into 1 9.310 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 9.311 * [backup-simplify]: Simplify (* 1 (+ (log 2) (log n))) into (+ (log 2) (log n)) 9.311 * [backup-simplify]: Simplify (* 1/2 (+ (log 2) (log n))) into (* 1/2 (+ (log 2) (log n))) 9.311 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 9.312 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 9.312 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 9.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 9.313 * [backup-simplify]: Simplify (- 0) into 0 9.314 * [backup-simplify]: Simplify (+ 0 0) into 0 9.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 9.314 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.315 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 9.315 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.315 * [taylor]: Taking taylor expansion of 0 in k 9.316 * [backup-simplify]: Simplify 0 into 0 9.316 * [backup-simplify]: Simplify 0 into 0 9.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 9.317 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 9.317 * [backup-simplify]: Simplify (+ 0 0) into 0 9.317 * [backup-simplify]: Simplify (- 1) into -1 9.318 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.318 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log 2) (log n)))) into (- (+ (log 2) (log n))) 9.319 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n)))) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 9.324 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 9.325 * [backup-simplify]: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 9.325 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.327 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 9.327 * [backup-simplify]: Simplify (- 0) into 0 9.327 * [backup-simplify]: Simplify (+ 0 0) into 0 9.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 9.328 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.329 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 9.330 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.330 * [taylor]: Taking taylor expansion of 0 in k 9.330 * [backup-simplify]: Simplify 0 into 0 9.330 * [backup-simplify]: Simplify 0 into 0 9.330 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 9.333 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 9.333 * [backup-simplify]: Simplify (+ 0 0) into 0 9.334 * [backup-simplify]: Simplify (- 0) into 0 9.334 * [backup-simplify]: Simplify (+ 0 0) into 0 9.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log 2) (log n))))) into 0 9.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n))))) into 0 9.337 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 9.339 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 9.345 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 9.345 * [backup-simplify]: Simplify (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) 9.345 * [approximate]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 9.345 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in k 9.345 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in k 9.345 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in k 9.345 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 9.345 * [taylor]: Taking taylor expansion of 1/2 in k 9.345 * [backup-simplify]: Simplify 1/2 into 1/2 9.345 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 9.345 * [taylor]: Taking taylor expansion of 1 in k 9.345 * [backup-simplify]: Simplify 1 into 1 9.345 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.345 * [taylor]: Taking taylor expansion of k in k 9.345 * [backup-simplify]: Simplify 0 into 0 9.345 * [backup-simplify]: Simplify 1 into 1 9.346 * [backup-simplify]: Simplify (/ 1 1) into 1 9.346 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k 9.346 * [taylor]: Taking taylor expansion of (/ 2 n) in k 9.346 * [taylor]: Taking taylor expansion of 2 in k 9.346 * [backup-simplify]: Simplify 2 into 2 9.346 * [taylor]: Taking taylor expansion of n in k 9.346 * [backup-simplify]: Simplify n into n 9.346 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n) 9.346 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n)) 9.347 * [backup-simplify]: Simplify (- 1) into -1 9.347 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.348 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 9.348 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 9.348 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) 9.348 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in n 9.348 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in n 9.348 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in n 9.348 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 9.348 * [taylor]: Taking taylor expansion of 1/2 in n 9.348 * [backup-simplify]: Simplify 1/2 into 1/2 9.348 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 9.348 * [taylor]: Taking taylor expansion of 1 in n 9.348 * [backup-simplify]: Simplify 1 into 1 9.348 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.348 * [taylor]: Taking taylor expansion of k in n 9.348 * [backup-simplify]: Simplify k into k 9.348 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.348 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 9.348 * [taylor]: Taking taylor expansion of (/ 2 n) in n 9.348 * [taylor]: Taking taylor expansion of 2 in n 9.348 * [backup-simplify]: Simplify 2 into 2 9.348 * [taylor]: Taking taylor expansion of n in n 9.348 * [backup-simplify]: Simplify 0 into 0 9.348 * [backup-simplify]: Simplify 1 into 1 9.349 * [backup-simplify]: Simplify (/ 2 1) into 2 9.349 * [backup-simplify]: Simplify (log 2) into (log 2) 9.349 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.350 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 9.350 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 9.351 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 9.351 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 9.352 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 9.352 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in n 9.352 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in n 9.352 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in n 9.352 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 9.352 * [taylor]: Taking taylor expansion of 1/2 in n 9.352 * [backup-simplify]: Simplify 1/2 into 1/2 9.352 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 9.352 * [taylor]: Taking taylor expansion of 1 in n 9.352 * [backup-simplify]: Simplify 1 into 1 9.352 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.352 * [taylor]: Taking taylor expansion of k in n 9.352 * [backup-simplify]: Simplify k into k 9.352 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.352 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 9.352 * [taylor]: Taking taylor expansion of (/ 2 n) in n 9.352 * [taylor]: Taking taylor expansion of 2 in n 9.352 * [backup-simplify]: Simplify 2 into 2 9.352 * [taylor]: Taking taylor expansion of n in n 9.352 * [backup-simplify]: Simplify 0 into 0 9.352 * [backup-simplify]: Simplify 1 into 1 9.353 * [backup-simplify]: Simplify (/ 2 1) into 2 9.353 * [backup-simplify]: Simplify (log 2) into (log 2) 9.353 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.353 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 9.354 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 9.354 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 9.355 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 9.355 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 9.356 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) in k 9.356 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) in k 9.356 * [taylor]: Taking taylor expansion of 1/2 in k 9.356 * [backup-simplify]: Simplify 1/2 into 1/2 9.356 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log 2) (log n))) in k 9.356 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 9.356 * [taylor]: Taking taylor expansion of 1 in k 9.356 * [backup-simplify]: Simplify 1 into 1 9.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.356 * [taylor]: Taking taylor expansion of k in k 9.356 * [backup-simplify]: Simplify 0 into 0 9.356 * [backup-simplify]: Simplify 1 into 1 9.356 * [backup-simplify]: Simplify (/ 1 1) into 1 9.356 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k 9.356 * [taylor]: Taking taylor expansion of (log 2) in k 9.356 * [taylor]: Taking taylor expansion of 2 in k 9.356 * [backup-simplify]: Simplify 2 into 2 9.357 * [backup-simplify]: Simplify (log 2) into (log 2) 9.357 * [taylor]: Taking taylor expansion of (log n) in k 9.357 * [taylor]: Taking taylor expansion of n in k 9.357 * [backup-simplify]: Simplify n into n 9.357 * [backup-simplify]: Simplify (log n) into (log n) 9.357 * [backup-simplify]: Simplify (- 1) into -1 9.358 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.358 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.358 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 9.359 * [backup-simplify]: Simplify (* -1 (- (log 2) (log n))) into (* -1 (- (log 2) (log n))) 9.359 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log 2) (log n)))) into (* -1/2 (- (log 2) (log n))) 9.360 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 9.361 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 9.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 9.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 9.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.364 * [backup-simplify]: Simplify (- 0) into 0 9.364 * [backup-simplify]: Simplify (+ 0 0) into 0 9.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 9.366 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 9.366 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 9.368 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.368 * [taylor]: Taking taylor expansion of 0 in k 9.368 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify 0 into 0 9.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.372 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 9.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.372 * [backup-simplify]: Simplify (- 0) into 0 9.373 * [backup-simplify]: Simplify (+ 0 0) into 0 9.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 9.375 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 9.376 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 9.378 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.378 * [taylor]: Taking taylor expansion of 0 in k 9.378 * [backup-simplify]: Simplify 0 into 0 9.378 * [backup-simplify]: Simplify 0 into 0 9.378 * [backup-simplify]: Simplify 0 into 0 9.378 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.384 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 9.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.385 * [backup-simplify]: Simplify (- 0) into 0 9.385 * [backup-simplify]: Simplify (+ 0 0) into 0 9.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 9.387 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 9.388 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 9.390 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.390 * [taylor]: Taking taylor expansion of 0 in k 9.390 * [backup-simplify]: Simplify 0 into 0 9.390 * [backup-simplify]: Simplify 0 into 0 9.391 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) 9.391 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) 9.391 * [approximate]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 9.391 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in k 9.391 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in k 9.391 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in k 9.391 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 9.391 * [taylor]: Taking taylor expansion of 1/2 in k 9.391 * [backup-simplify]: Simplify 1/2 into 1/2 9.391 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 9.391 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.391 * [taylor]: Taking taylor expansion of k in k 9.391 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify 1 into 1 9.392 * [backup-simplify]: Simplify (/ 1 1) into 1 9.392 * [taylor]: Taking taylor expansion of 1 in k 9.392 * [backup-simplify]: Simplify 1 into 1 9.392 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k 9.392 * [taylor]: Taking taylor expansion of (/ -2 n) in k 9.392 * [taylor]: Taking taylor expansion of -2 in k 9.392 * [backup-simplify]: Simplify -2 into -2 9.392 * [taylor]: Taking taylor expansion of n in k 9.392 * [backup-simplify]: Simplify n into n 9.392 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 9.392 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n)) 9.393 * [backup-simplify]: Simplify (+ 1 0) into 1 9.393 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.393 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 9.393 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) 9.393 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in n 9.393 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in n 9.393 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in n 9.393 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 9.393 * [taylor]: Taking taylor expansion of 1/2 in n 9.393 * [backup-simplify]: Simplify 1/2 into 1/2 9.393 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 9.393 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.393 * [taylor]: Taking taylor expansion of k in n 9.394 * [backup-simplify]: Simplify k into k 9.394 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.394 * [taylor]: Taking taylor expansion of 1 in n 9.394 * [backup-simplify]: Simplify 1 into 1 9.394 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 9.394 * [taylor]: Taking taylor expansion of (/ -2 n) in n 9.394 * [taylor]: Taking taylor expansion of -2 in n 9.394 * [backup-simplify]: Simplify -2 into -2 9.394 * [taylor]: Taking taylor expansion of n in n 9.394 * [backup-simplify]: Simplify 0 into 0 9.394 * [backup-simplify]: Simplify 1 into 1 9.394 * [backup-simplify]: Simplify (/ -2 1) into -2 9.394 * [backup-simplify]: Simplify (log -2) into (log -2) 9.394 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 9.394 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 9.395 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 9.395 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 9.396 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 9.396 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in n 9.396 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in n 9.396 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in n 9.396 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 9.396 * [taylor]: Taking taylor expansion of 1/2 in n 9.396 * [backup-simplify]: Simplify 1/2 into 1/2 9.396 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 9.396 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.396 * [taylor]: Taking taylor expansion of k in n 9.396 * [backup-simplify]: Simplify k into k 9.396 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.396 * [taylor]: Taking taylor expansion of 1 in n 9.396 * [backup-simplify]: Simplify 1 into 1 9.396 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 9.396 * [taylor]: Taking taylor expansion of (/ -2 n) in n 9.396 * [taylor]: Taking taylor expansion of -2 in n 9.396 * [backup-simplify]: Simplify -2 into -2 9.396 * [taylor]: Taking taylor expansion of n in n 9.396 * [backup-simplify]: Simplify 0 into 0 9.396 * [backup-simplify]: Simplify 1 into 1 9.396 * [backup-simplify]: Simplify (/ -2 1) into -2 9.397 * [backup-simplify]: Simplify (log -2) into (log -2) 9.397 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 9.397 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 9.397 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 9.398 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 9.398 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 9.398 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) in k 9.398 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) in k 9.398 * [taylor]: Taking taylor expansion of 1/2 in k 9.398 * [backup-simplify]: Simplify 1/2 into 1/2 9.398 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -2) (log n))) in k 9.398 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 9.398 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.398 * [taylor]: Taking taylor expansion of k in k 9.398 * [backup-simplify]: Simplify 0 into 0 9.398 * [backup-simplify]: Simplify 1 into 1 9.399 * [backup-simplify]: Simplify (/ 1 1) into 1 9.399 * [taylor]: Taking taylor expansion of 1 in k 9.399 * [backup-simplify]: Simplify 1 into 1 9.399 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k 9.399 * [taylor]: Taking taylor expansion of (log -2) in k 9.399 * [taylor]: Taking taylor expansion of -2 in k 9.399 * [backup-simplify]: Simplify -2 into -2 9.399 * [backup-simplify]: Simplify (log -2) into (log -2) 9.399 * [taylor]: Taking taylor expansion of (log n) in k 9.399 * [taylor]: Taking taylor expansion of n in k 9.399 * [backup-simplify]: Simplify n into n 9.399 * [backup-simplify]: Simplify (log n) into (log n) 9.399 * [backup-simplify]: Simplify (+ 1 0) into 1 9.399 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.400 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 9.400 * [backup-simplify]: Simplify (* 1 (- (log -2) (log n))) into (- (log -2) (log n)) 9.400 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 9.401 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 9.401 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 9.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 9.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 9.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.403 * [backup-simplify]: Simplify (+ 0 0) into 0 9.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 9.403 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 9.404 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -2) (log n)))) into 0 9.405 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.405 * [taylor]: Taking taylor expansion of 0 in k 9.405 * [backup-simplify]: Simplify 0 into 0 9.405 * [backup-simplify]: Simplify 0 into 0 9.405 * [backup-simplify]: Simplify 0 into 0 9.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.407 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 9.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.407 * [backup-simplify]: Simplify (+ 0 0) into 0 9.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 9.408 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 9.409 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 9.410 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.410 * [taylor]: Taking taylor expansion of 0 in k 9.410 * [backup-simplify]: Simplify 0 into 0 9.410 * [backup-simplify]: Simplify 0 into 0 9.410 * [backup-simplify]: Simplify 0 into 0 9.410 * [backup-simplify]: Simplify 0 into 0 9.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.414 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 9.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.414 * [backup-simplify]: Simplify (+ 0 0) into 0 9.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 9.415 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 9.416 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 9.417 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.418 * [taylor]: Taking taylor expansion of 0 in k 9.418 * [backup-simplify]: Simplify 0 into 0 9.418 * [backup-simplify]: Simplify 0 into 0 9.418 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) 9.418 * * * * [progress]: [ 2 / 4 ] generating series at (2) 9.418 * [backup-simplify]: Simplify (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) into (* (* (pow (* 2 n) (* 1/2 (- 1 k))) (exp (* 1/2 (* (- 1 k) (log PI))))) (sqrt (/ 1 k))) 9.419 * [approximate]: Taking taylor expansion of (* (* (pow (* 2 n) (* 1/2 (- 1 k))) (exp (* 1/2 (* (- 1 k) (log PI))))) (sqrt (/ 1 k))) in (k n) around 0 9.419 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (* 1/2 (- 1 k))) (exp (* 1/2 (* (- 1 k) (log PI))))) (sqrt (/ 1 k))) in n 9.419 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (exp (* 1/2 (* (- 1 k) (log PI))))) in n 9.419 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in n 9.419 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in n 9.419 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in n 9.419 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 9.419 * [taylor]: Taking taylor expansion of 1/2 in n 9.419 * [backup-simplify]: Simplify 1/2 into 1/2 9.419 * [taylor]: Taking taylor expansion of (- 1 k) in n 9.419 * [taylor]: Taking taylor expansion of 1 in n 9.419 * [backup-simplify]: Simplify 1 into 1 9.419 * [taylor]: Taking taylor expansion of k in n 9.419 * [backup-simplify]: Simplify k into k 9.419 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 9.419 * [taylor]: Taking taylor expansion of (* 2 n) in n 9.419 * [taylor]: Taking taylor expansion of 2 in n 9.419 * [backup-simplify]: Simplify 2 into 2 9.419 * [taylor]: Taking taylor expansion of n in n 9.419 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify 1 into 1 9.419 * [backup-simplify]: Simplify (* 2 0) into 0 9.420 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 9.420 * [backup-simplify]: Simplify (log 2) into (log 2) 9.420 * [backup-simplify]: Simplify (- k) into (- k) 9.420 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 9.420 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 9.421 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.421 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) 9.422 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 9.422 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log PI)))) in n 9.422 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log PI))) in n 9.422 * [taylor]: Taking taylor expansion of 1/2 in n 9.422 * [backup-simplify]: Simplify 1/2 into 1/2 9.422 * [taylor]: Taking taylor expansion of (* (- 1 k) (log PI)) in n 9.422 * [taylor]: Taking taylor expansion of (- 1 k) in n 9.422 * [taylor]: Taking taylor expansion of 1 in n 9.422 * [backup-simplify]: Simplify 1 into 1 9.422 * [taylor]: Taking taylor expansion of k in n 9.422 * [backup-simplify]: Simplify k into k 9.422 * [taylor]: Taking taylor expansion of (log PI) in n 9.422 * [taylor]: Taking taylor expansion of PI in n 9.422 * [backup-simplify]: Simplify PI into PI 9.423 * [backup-simplify]: Simplify (log PI) into (log PI) 9.423 * [backup-simplify]: Simplify (- k) into (- k) 9.423 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 9.423 * [backup-simplify]: Simplify (* (- 1 k) (log PI)) into (* (- 1 k) (log PI)) 9.424 * [backup-simplify]: Simplify (* 1/2 (* (- 1 k) (log PI))) into (* 1/2 (* (- 1 k) (log PI))) 9.424 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 9.424 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.424 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.424 * [taylor]: Taking taylor expansion of k in n 9.424 * [backup-simplify]: Simplify k into k 9.424 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.425 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 9.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 9.425 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (* 1/2 (- 1 k))) (exp (* 1/2 (* (- 1 k) (log PI))))) (sqrt (/ 1 k))) in k 9.425 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (exp (* 1/2 (* (- 1 k) (log PI))))) in k 9.425 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in k 9.425 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in k 9.425 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in k 9.425 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 9.425 * [taylor]: Taking taylor expansion of 1/2 in k 9.425 * [backup-simplify]: Simplify 1/2 into 1/2 9.425 * [taylor]: Taking taylor expansion of (- 1 k) in k 9.425 * [taylor]: Taking taylor expansion of 1 in k 9.425 * [backup-simplify]: Simplify 1 into 1 9.425 * [taylor]: Taking taylor expansion of k in k 9.425 * [backup-simplify]: Simplify 0 into 0 9.425 * [backup-simplify]: Simplify 1 into 1 9.425 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k 9.425 * [taylor]: Taking taylor expansion of (* 2 n) in k 9.425 * [taylor]: Taking taylor expansion of 2 in k 9.425 * [backup-simplify]: Simplify 2 into 2 9.425 * [taylor]: Taking taylor expansion of n in k 9.425 * [backup-simplify]: Simplify n into n 9.425 * [backup-simplify]: Simplify (* 2 n) into (* 2 n) 9.426 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n)) 9.426 * [backup-simplify]: Simplify (- 0) into 0 9.427 * [backup-simplify]: Simplify (+ 1 0) into 1 9.427 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.427 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 9.427 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 9.427 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log PI)))) in k 9.427 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log PI))) in k 9.427 * [taylor]: Taking taylor expansion of 1/2 in k 9.427 * [backup-simplify]: Simplify 1/2 into 1/2 9.427 * [taylor]: Taking taylor expansion of (* (- 1 k) (log PI)) in k 9.427 * [taylor]: Taking taylor expansion of (- 1 k) in k 9.427 * [taylor]: Taking taylor expansion of 1 in k 9.427 * [backup-simplify]: Simplify 1 into 1 9.428 * [taylor]: Taking taylor expansion of k in k 9.428 * [backup-simplify]: Simplify 0 into 0 9.428 * [backup-simplify]: Simplify 1 into 1 9.428 * [taylor]: Taking taylor expansion of (log PI) in k 9.428 * [taylor]: Taking taylor expansion of PI in k 9.428 * [backup-simplify]: Simplify PI into PI 9.428 * [backup-simplify]: Simplify (log PI) into (log PI) 9.429 * [backup-simplify]: Simplify (- 0) into 0 9.429 * [backup-simplify]: Simplify (+ 1 0) into 1 9.430 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 9.431 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 9.433 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 9.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.433 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.433 * [taylor]: Taking taylor expansion of k in k 9.433 * [backup-simplify]: Simplify 0 into 0 9.433 * [backup-simplify]: Simplify 1 into 1 9.433 * [backup-simplify]: Simplify (/ 1 1) into 1 9.434 * [backup-simplify]: Simplify (sqrt 0) into 0 9.435 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.435 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (* 1/2 (- 1 k))) (exp (* 1/2 (* (- 1 k) (log PI))))) (sqrt (/ 1 k))) in k 9.435 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (exp (* 1/2 (* (- 1 k) (log PI))))) in k 9.435 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in k 9.435 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in k 9.435 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in k 9.435 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 9.435 * [taylor]: Taking taylor expansion of 1/2 in k 9.435 * [backup-simplify]: Simplify 1/2 into 1/2 9.435 * [taylor]: Taking taylor expansion of (- 1 k) in k 9.436 * [taylor]: Taking taylor expansion of 1 in k 9.436 * [backup-simplify]: Simplify 1 into 1 9.436 * [taylor]: Taking taylor expansion of k in k 9.436 * [backup-simplify]: Simplify 0 into 0 9.436 * [backup-simplify]: Simplify 1 into 1 9.436 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k 9.436 * [taylor]: Taking taylor expansion of (* 2 n) in k 9.436 * [taylor]: Taking taylor expansion of 2 in k 9.436 * [backup-simplify]: Simplify 2 into 2 9.436 * [taylor]: Taking taylor expansion of n in k 9.436 * [backup-simplify]: Simplify n into n 9.436 * [backup-simplify]: Simplify (* 2 n) into (* 2 n) 9.436 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n)) 9.436 * [backup-simplify]: Simplify (- 0) into 0 9.437 * [backup-simplify]: Simplify (+ 1 0) into 1 9.437 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.437 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 9.438 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 9.438 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log PI)))) in k 9.438 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log PI))) in k 9.438 * [taylor]: Taking taylor expansion of 1/2 in k 9.438 * [backup-simplify]: Simplify 1/2 into 1/2 9.438 * [taylor]: Taking taylor expansion of (* (- 1 k) (log PI)) in k 9.438 * [taylor]: Taking taylor expansion of (- 1 k) in k 9.438 * [taylor]: Taking taylor expansion of 1 in k 9.438 * [backup-simplify]: Simplify 1 into 1 9.438 * [taylor]: Taking taylor expansion of k in k 9.438 * [backup-simplify]: Simplify 0 into 0 9.438 * [backup-simplify]: Simplify 1 into 1 9.438 * [taylor]: Taking taylor expansion of (log PI) in k 9.438 * [taylor]: Taking taylor expansion of PI in k 9.438 * [backup-simplify]: Simplify PI into PI 9.438 * [backup-simplify]: Simplify (log PI) into (log PI) 9.439 * [backup-simplify]: Simplify (- 0) into 0 9.439 * [backup-simplify]: Simplify (+ 1 0) into 1 9.440 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 9.441 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 9.443 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 9.443 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.443 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.443 * [taylor]: Taking taylor expansion of k in k 9.443 * [backup-simplify]: Simplify 0 into 0 9.443 * [backup-simplify]: Simplify 1 into 1 9.443 * [backup-simplify]: Simplify (/ 1 1) into 1 9.444 * [backup-simplify]: Simplify (sqrt 0) into 0 9.445 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.446 * [backup-simplify]: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 9.446 * [backup-simplify]: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 9.446 * [taylor]: Taking taylor expansion of 0 in n 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify 0 into 0 9.453 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 9.454 * [backup-simplify]: Simplify (- 1) into -1 9.455 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.459 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log PI))) into (- (log PI)) 9.460 * [backup-simplify]: Simplify (+ (* 1/2 (- (log PI))) (* 0 (log PI))) into (- (* 1/2 (log PI))) 9.465 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 9.466 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 n)) into 0 9.466 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 9.467 * [backup-simplify]: Simplify (- 1) into -1 9.467 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.467 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 9.468 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 9.468 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 9.469 * [backup-simplify]: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 9.471 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 9.471 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 9.471 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 9.471 * [taylor]: Taking taylor expansion of +nan.0 in n 9.471 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.471 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 9.471 * [taylor]: Taking taylor expansion of (sqrt 2) in n 9.471 * [taylor]: Taking taylor expansion of 2 in n 9.471 * [backup-simplify]: Simplify 2 into 2 9.471 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.472 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 9.472 * [taylor]: Taking taylor expansion of (* n PI) in n 9.472 * [taylor]: Taking taylor expansion of n in n 9.472 * [backup-simplify]: Simplify 0 into 0 9.472 * [backup-simplify]: Simplify 1 into 1 9.472 * [taylor]: Taking taylor expansion of PI in n 9.472 * [backup-simplify]: Simplify PI into PI 9.472 * [backup-simplify]: Simplify (* 0 PI) into 0 9.473 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.473 * [backup-simplify]: Simplify (sqrt 0) into 0 9.474 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 9.474 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 9.475 * [backup-simplify]: Simplify (* +nan.0 0) into 0 9.475 * [backup-simplify]: Simplify (- 0) into 0 9.475 * [backup-simplify]: Simplify 0 into 0 9.475 * [backup-simplify]: Simplify 0 into 0 9.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.477 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.479 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 9.479 * [backup-simplify]: Simplify (- 0) into 0 9.480 * [backup-simplify]: Simplify (+ 0 0) into 0 9.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log PI)))) into 0 9.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log PI))) (* 0 (log PI)))) into 0 9.491 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 9.491 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 9.493 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 9.494 * [backup-simplify]: Simplify (- 0) into 0 9.494 * [backup-simplify]: Simplify (+ 0 0) into 0 9.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 9.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 9.498 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 9.504 * [backup-simplify]: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 9.511 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 9.512 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 9.512 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 9.512 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 9.512 * [taylor]: Taking taylor expansion of +nan.0 in n 9.512 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.512 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 9.512 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 9.512 * [taylor]: Taking taylor expansion of (sqrt 2) in n 9.512 * [taylor]: Taking taylor expansion of 2 in n 9.512 * [backup-simplify]: Simplify 2 into 2 9.512 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.513 * [taylor]: Taking taylor expansion of (log PI) in n 9.513 * [taylor]: Taking taylor expansion of PI in n 9.513 * [backup-simplify]: Simplify PI into PI 9.514 * [backup-simplify]: Simplify (log PI) into (log PI) 9.514 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 9.514 * [taylor]: Taking taylor expansion of (* PI n) in n 9.514 * [taylor]: Taking taylor expansion of PI in n 9.514 * [backup-simplify]: Simplify PI into PI 9.514 * [taylor]: Taking taylor expansion of n in n 9.514 * [backup-simplify]: Simplify 0 into 0 9.514 * [backup-simplify]: Simplify 1 into 1 9.514 * [backup-simplify]: Simplify (* PI 0) into 0 9.516 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.516 * [backup-simplify]: Simplify (sqrt 0) into 0 9.518 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 9.518 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 9.518 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 9.518 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 9.518 * [taylor]: Taking taylor expansion of +nan.0 in n 9.518 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.518 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 9.518 * [taylor]: Taking taylor expansion of (sqrt 2) in n 9.518 * [taylor]: Taking taylor expansion of 2 in n 9.518 * [backup-simplify]: Simplify 2 into 2 9.519 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.519 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 9.519 * [taylor]: Taking taylor expansion of (* n PI) in n 9.519 * [taylor]: Taking taylor expansion of n in n 9.519 * [backup-simplify]: Simplify 0 into 0 9.519 * [backup-simplify]: Simplify 1 into 1 9.519 * [taylor]: Taking taylor expansion of PI in n 9.519 * [backup-simplify]: Simplify PI into PI 9.520 * [backup-simplify]: Simplify (* 0 PI) into 0 9.521 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.522 * [backup-simplify]: Simplify (sqrt 0) into 0 9.523 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 9.523 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 9.523 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 9.523 * [taylor]: Taking taylor expansion of +nan.0 in n 9.523 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.523 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 9.523 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 9.523 * [taylor]: Taking taylor expansion of (sqrt 2) in n 9.523 * [taylor]: Taking taylor expansion of 2 in n 9.523 * [backup-simplify]: Simplify 2 into 2 9.524 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.524 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 9.525 * [taylor]: Taking taylor expansion of (* 2 n) in n 9.525 * [taylor]: Taking taylor expansion of 2 in n 9.525 * [backup-simplify]: Simplify 2 into 2 9.525 * [taylor]: Taking taylor expansion of n in n 9.525 * [backup-simplify]: Simplify 0 into 0 9.525 * [backup-simplify]: Simplify 1 into 1 9.525 * [backup-simplify]: Simplify (* 2 0) into 0 9.526 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 9.526 * [backup-simplify]: Simplify (log 2) into (log 2) 9.526 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 9.526 * [taylor]: Taking taylor expansion of (* PI n) in n 9.526 * [taylor]: Taking taylor expansion of PI in n 9.526 * [backup-simplify]: Simplify PI into PI 9.526 * [taylor]: Taking taylor expansion of n in n 9.526 * [backup-simplify]: Simplify 0 into 0 9.526 * [backup-simplify]: Simplify 1 into 1 9.527 * [backup-simplify]: Simplify (* PI 0) into 0 9.528 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.529 * [backup-simplify]: Simplify (sqrt 0) into 0 9.530 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 9.532 * [backup-simplify]: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 9.532 * [backup-simplify]: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 9.533 * [backup-simplify]: Simplify (* +nan.0 0) into 0 9.533 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 9.534 * [backup-simplify]: Simplify (* +nan.0 0) into 0 9.534 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.535 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 9.536 * [backup-simplify]: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 9.537 * [backup-simplify]: Simplify (* +nan.0 0) into 0 9.537 * [backup-simplify]: Simplify (- 0) into 0 9.537 * [backup-simplify]: Simplify (+ 0 0) into 0 9.538 * [backup-simplify]: Simplify (- 0) into 0 9.538 * [backup-simplify]: Simplify (+ 0 0) into 0 9.538 * [backup-simplify]: Simplify (- 0) into 0 9.538 * [backup-simplify]: Simplify 0 into 0 9.541 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 9.546 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 9.550 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 9.552 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 9.552 * [backup-simplify]: Simplify 0 into 0 9.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.562 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 9.563 * [backup-simplify]: Simplify (- 0) into 0 9.563 * [backup-simplify]: Simplify (+ 0 0) into 0 9.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log PI))))) into 0 9.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log PI))) (* 0 (log PI))))) into 0 9.581 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 9.582 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 9.584 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 9.584 * [backup-simplify]: Simplify (- 0) into 0 9.584 * [backup-simplify]: Simplify (+ 0 0) into 0 9.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 9.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 9.587 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 9.593 * [backup-simplify]: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 9.601 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 9.601 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 9.601 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 9.601 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 9.601 * [taylor]: Taking taylor expansion of +nan.0 in n 9.601 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.601 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 9.601 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 9.601 * [taylor]: Taking taylor expansion of (sqrt 2) in n 9.601 * [taylor]: Taking taylor expansion of 2 in n 9.601 * [backup-simplify]: Simplify 2 into 2 9.601 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.602 * [taylor]: Taking taylor expansion of (log PI) in n 9.602 * [taylor]: Taking taylor expansion of PI in n 9.602 * [backup-simplify]: Simplify PI into PI 9.602 * [backup-simplify]: Simplify (log PI) into (log PI) 9.602 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 9.602 * [taylor]: Taking taylor expansion of (* PI n) in n 9.602 * [taylor]: Taking taylor expansion of PI in n 9.602 * [backup-simplify]: Simplify PI into PI 9.602 * [taylor]: Taking taylor expansion of n in n 9.602 * [backup-simplify]: Simplify 0 into 0 9.602 * [backup-simplify]: Simplify 1 into 1 9.602 * [backup-simplify]: Simplify (* PI 0) into 0 9.603 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.603 * [backup-simplify]: Simplify (sqrt 0) into 0 9.604 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 9.604 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 9.604 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 9.604 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 9.604 * [taylor]: Taking taylor expansion of +nan.0 in n 9.604 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.604 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 9.604 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 9.604 * [taylor]: Taking taylor expansion of (sqrt 2) in n 9.604 * [taylor]: Taking taylor expansion of 2 in n 9.604 * [backup-simplify]: Simplify 2 into 2 9.605 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.605 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 9.605 * [taylor]: Taking taylor expansion of (log PI) in n 9.605 * [taylor]: Taking taylor expansion of PI in n 9.605 * [backup-simplify]: Simplify PI into PI 9.605 * [backup-simplify]: Simplify (log PI) into (log PI) 9.605 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 9.605 * [taylor]: Taking taylor expansion of (* PI n) in n 9.605 * [taylor]: Taking taylor expansion of PI in n 9.605 * [backup-simplify]: Simplify PI into PI 9.605 * [taylor]: Taking taylor expansion of n in n 9.605 * [backup-simplify]: Simplify 0 into 0 9.605 * [backup-simplify]: Simplify 1 into 1 9.606 * [backup-simplify]: Simplify (* PI 0) into 0 9.607 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.607 * [backup-simplify]: Simplify (sqrt 0) into 0 9.608 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 9.608 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 9.608 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 9.608 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 9.608 * [taylor]: Taking taylor expansion of +nan.0 in n 9.608 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.608 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 9.608 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 9.608 * [taylor]: Taking taylor expansion of (sqrt 2) in n 9.608 * [taylor]: Taking taylor expansion of 2 in n 9.608 * [backup-simplify]: Simplify 2 into 2 9.608 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.608 * [taylor]: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 9.609 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 9.609 * [taylor]: Taking taylor expansion of (* 2 n) in n 9.609 * [taylor]: Taking taylor expansion of 2 in n 9.609 * [backup-simplify]: Simplify 2 into 2 9.609 * [taylor]: Taking taylor expansion of n in n 9.609 * [backup-simplify]: Simplify 0 into 0 9.609 * [backup-simplify]: Simplify 1 into 1 9.609 * [backup-simplify]: Simplify (* 2 0) into 0 9.609 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 9.610 * [backup-simplify]: Simplify (log 2) into (log 2) 9.610 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.610 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 9.610 * [taylor]: Taking taylor expansion of (* PI n) in n 9.610 * [taylor]: Taking taylor expansion of PI in n 9.610 * [backup-simplify]: Simplify PI into PI 9.610 * [taylor]: Taking taylor expansion of n in n 9.610 * [backup-simplify]: Simplify 0 into 0 9.610 * [backup-simplify]: Simplify 1 into 1 9.610 * [backup-simplify]: Simplify (* PI 0) into 0 9.611 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.612 * [backup-simplify]: Simplify (sqrt 0) into 0 9.612 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 9.612 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 9.612 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 9.612 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 9.612 * [taylor]: Taking taylor expansion of +nan.0 in n 9.613 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.613 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 9.613 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 9.613 * [taylor]: Taking taylor expansion of (sqrt 2) in n 9.613 * [taylor]: Taking taylor expansion of 2 in n 9.613 * [backup-simplify]: Simplify 2 into 2 9.613 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.613 * [taylor]: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 9.613 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 9.613 * [taylor]: Taking taylor expansion of (* 2 n) in n 9.613 * [taylor]: Taking taylor expansion of 2 in n 9.613 * [backup-simplify]: Simplify 2 into 2 9.613 * [taylor]: Taking taylor expansion of n in n 9.613 * [backup-simplify]: Simplify 0 into 0 9.613 * [backup-simplify]: Simplify 1 into 1 9.614 * [backup-simplify]: Simplify (* 2 0) into 0 9.614 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 9.614 * [backup-simplify]: Simplify (log 2) into (log 2) 9.614 * [taylor]: Taking taylor expansion of (log PI) in n 9.614 * [taylor]: Taking taylor expansion of PI in n 9.614 * [backup-simplify]: Simplify PI into PI 9.615 * [backup-simplify]: Simplify (log PI) into (log PI) 9.615 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 9.615 * [taylor]: Taking taylor expansion of (* n PI) in n 9.615 * [taylor]: Taking taylor expansion of n in n 9.615 * [backup-simplify]: Simplify 0 into 0 9.615 * [backup-simplify]: Simplify 1 into 1 9.615 * [taylor]: Taking taylor expansion of PI in n 9.615 * [backup-simplify]: Simplify PI into PI 9.615 * [backup-simplify]: Simplify (* 0 PI) into 0 9.616 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.616 * [backup-simplify]: Simplify (sqrt 0) into 0 9.617 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 9.617 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 9.617 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 9.617 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 9.617 * [taylor]: Taking taylor expansion of +nan.0 in n 9.617 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.617 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 9.617 * [taylor]: Taking taylor expansion of (sqrt 2) in n 9.617 * [taylor]: Taking taylor expansion of 2 in n 9.617 * [backup-simplify]: Simplify 2 into 2 9.617 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.618 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 9.618 * [taylor]: Taking taylor expansion of (* n PI) in n 9.618 * [taylor]: Taking taylor expansion of n in n 9.618 * [backup-simplify]: Simplify 0 into 0 9.618 * [backup-simplify]: Simplify 1 into 1 9.618 * [taylor]: Taking taylor expansion of PI in n 9.618 * [backup-simplify]: Simplify PI into PI 9.618 * [backup-simplify]: Simplify (* 0 PI) into 0 9.619 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.619 * [backup-simplify]: Simplify (sqrt 0) into 0 9.620 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 9.620 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 9.620 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 9.620 * [taylor]: Taking taylor expansion of +nan.0 in n 9.620 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.620 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 9.620 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 9.620 * [taylor]: Taking taylor expansion of (sqrt 2) in n 9.620 * [taylor]: Taking taylor expansion of 2 in n 9.620 * [backup-simplify]: Simplify 2 into 2 9.620 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.621 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 9.621 * [taylor]: Taking taylor expansion of (* 2 n) in n 9.621 * [taylor]: Taking taylor expansion of 2 in n 9.621 * [backup-simplify]: Simplify 2 into 2 9.621 * [taylor]: Taking taylor expansion of n in n 9.621 * [backup-simplify]: Simplify 0 into 0 9.621 * [backup-simplify]: Simplify 1 into 1 9.621 * [backup-simplify]: Simplify (* 2 0) into 0 9.622 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 9.622 * [backup-simplify]: Simplify (log 2) into (log 2) 9.622 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 9.622 * [taylor]: Taking taylor expansion of (* PI n) in n 9.622 * [taylor]: Taking taylor expansion of PI in n 9.622 * [backup-simplify]: Simplify PI into PI 9.622 * [taylor]: Taking taylor expansion of n in n 9.622 * [backup-simplify]: Simplify 0 into 0 9.622 * [backup-simplify]: Simplify 1 into 1 9.622 * [backup-simplify]: Simplify (* PI 0) into 0 9.623 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.623 * [backup-simplify]: Simplify (sqrt 0) into 0 9.624 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 9.625 * [backup-simplify]: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 9.625 * [backup-simplify]: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 9.626 * [backup-simplify]: Simplify (* +nan.0 0) into 0 9.626 * [backup-simplify]: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 9.628 * [backup-simplify]: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 9.628 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 9.628 * [backup-simplify]: Simplify (* +nan.0 0) into 0 9.629 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.630 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.630 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 9.631 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 9.632 * [backup-simplify]: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 9.633 * [backup-simplify]: Simplify (* +nan.0 0) into 0 9.633 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.634 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 9.634 * [backup-simplify]: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 9.636 * [backup-simplify]: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 9.636 * [backup-simplify]: Simplify (* +nan.0 0) into 0 9.636 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 9.636 * [backup-simplify]: Simplify (* +nan.0 0) into 0 9.637 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.637 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 9.638 * [backup-simplify]: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 9.638 * [backup-simplify]: Simplify (* +nan.0 0) into 0 9.638 * [backup-simplify]: Simplify (- 0) into 0 9.639 * [backup-simplify]: Simplify (+ 0 0) into 0 9.639 * [backup-simplify]: Simplify (- 0) into 0 9.639 * [backup-simplify]: Simplify (+ 0 0) into 0 9.639 * [backup-simplify]: Simplify (- 0) into 0 9.639 * [backup-simplify]: Simplify (+ 0 0) into 0 9.640 * [backup-simplify]: Simplify (- 0) into 0 9.640 * [backup-simplify]: Simplify (+ 0 0) into 0 9.640 * [backup-simplify]: Simplify (- 0) into 0 9.640 * [backup-simplify]: Simplify (+ 0 0) into 0 9.641 * [backup-simplify]: Simplify (- 0) into 0 9.641 * [backup-simplify]: Simplify 0 into 0 9.642 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 9.642 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 9.645 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 9.649 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 9.650 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 9.653 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 9.654 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 9.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 9.655 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.656 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 9.657 * [backup-simplify]: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 9.666 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 9.669 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 9.673 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 9.679 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 9.690 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 9.707 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 9.721 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 9.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.724 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 9.725 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 9.728 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 9.732 * [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)))) 9.735 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 9.737 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 9.750 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +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) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 9.751 * [backup-simplify]: Simplify (* (exp (* (/ (- 1 (/ 1 k)) 2) (log PI))) (/ (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k)))) into (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) 9.751 * [approximate]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in (k n) around 0 9.751 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in n 9.751 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) in n 9.751 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in n 9.751 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in n 9.751 * [taylor]: Taking taylor expansion of 1/2 in n 9.751 * [backup-simplify]: Simplify 1/2 into 1/2 9.751 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in n 9.751 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 9.751 * [taylor]: Taking taylor expansion of 1 in n 9.751 * [backup-simplify]: Simplify 1 into 1 9.751 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.751 * [taylor]: Taking taylor expansion of k in n 9.751 * [backup-simplify]: Simplify k into k 9.751 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.751 * [taylor]: Taking taylor expansion of (log PI) in n 9.751 * [taylor]: Taking taylor expansion of PI in n 9.751 * [backup-simplify]: Simplify PI into PI 9.751 * [backup-simplify]: Simplify (log PI) into (log PI) 9.751 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.751 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 9.752 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log PI)) into (* (- 1 (/ 1 k)) (log PI)) 9.752 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (log PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 9.752 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 9.752 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in n 9.752 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in n 9.752 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in n 9.752 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 9.752 * [taylor]: Taking taylor expansion of 1/2 in n 9.752 * [backup-simplify]: Simplify 1/2 into 1/2 9.752 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 9.752 * [taylor]: Taking taylor expansion of 1 in n 9.752 * [backup-simplify]: Simplify 1 into 1 9.752 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.752 * [taylor]: Taking taylor expansion of k in n 9.752 * [backup-simplify]: Simplify k into k 9.753 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.753 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 9.753 * [taylor]: Taking taylor expansion of (/ 2 n) in n 9.753 * [taylor]: Taking taylor expansion of 2 in n 9.753 * [backup-simplify]: Simplify 2 into 2 9.753 * [taylor]: Taking taylor expansion of n in n 9.753 * [backup-simplify]: Simplify 0 into 0 9.753 * [backup-simplify]: Simplify 1 into 1 9.753 * [backup-simplify]: Simplify (/ 2 1) into 2 9.753 * [backup-simplify]: Simplify (log 2) into (log 2) 9.753 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.753 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 9.753 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 9.754 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 9.754 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 9.754 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 9.754 * [taylor]: Taking taylor expansion of (sqrt k) in n 9.754 * [taylor]: Taking taylor expansion of k in n 9.754 * [backup-simplify]: Simplify k into k 9.755 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 9.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 9.755 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in k 9.755 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) in k 9.755 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in k 9.755 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in k 9.755 * [taylor]: Taking taylor expansion of 1/2 in k 9.755 * [backup-simplify]: Simplify 1/2 into 1/2 9.755 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in k 9.755 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 9.755 * [taylor]: Taking taylor expansion of 1 in k 9.755 * [backup-simplify]: Simplify 1 into 1 9.755 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.755 * [taylor]: Taking taylor expansion of k in k 9.755 * [backup-simplify]: Simplify 0 into 0 9.755 * [backup-simplify]: Simplify 1 into 1 9.755 * [backup-simplify]: Simplify (/ 1 1) into 1 9.755 * [taylor]: Taking taylor expansion of (log PI) in k 9.755 * [taylor]: Taking taylor expansion of PI in k 9.755 * [backup-simplify]: Simplify PI into PI 9.755 * [backup-simplify]: Simplify (log PI) into (log PI) 9.756 * [backup-simplify]: Simplify (- 1) into -1 9.756 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.757 * [backup-simplify]: Simplify (* -1 (log PI)) into (* -1 (log PI)) 9.757 * [backup-simplify]: Simplify (* 1/2 (* -1 (log PI))) into (* -1/2 (log PI)) 9.763 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 9.763 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in k 9.763 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in k 9.763 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in k 9.763 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 9.763 * [taylor]: Taking taylor expansion of 1/2 in k 9.763 * [backup-simplify]: Simplify 1/2 into 1/2 9.763 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 9.763 * [taylor]: Taking taylor expansion of 1 in k 9.763 * [backup-simplify]: Simplify 1 into 1 9.763 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.763 * [taylor]: Taking taylor expansion of k in k 9.763 * [backup-simplify]: Simplify 0 into 0 9.763 * [backup-simplify]: Simplify 1 into 1 9.764 * [backup-simplify]: Simplify (/ 1 1) into 1 9.764 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k 9.764 * [taylor]: Taking taylor expansion of (/ 2 n) in k 9.764 * [taylor]: Taking taylor expansion of 2 in k 9.764 * [backup-simplify]: Simplify 2 into 2 9.764 * [taylor]: Taking taylor expansion of n in k 9.764 * [backup-simplify]: Simplify n into n 9.764 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n) 9.764 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n)) 9.765 * [backup-simplify]: Simplify (- 1) into -1 9.765 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.765 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 9.766 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 9.766 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) 9.766 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.766 * [taylor]: Taking taylor expansion of k in k 9.766 * [backup-simplify]: Simplify 0 into 0 9.766 * [backup-simplify]: Simplify 1 into 1 9.766 * [backup-simplify]: Simplify (sqrt 0) into 0 9.768 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.768 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in k 9.768 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) in k 9.768 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in k 9.768 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in k 9.768 * [taylor]: Taking taylor expansion of 1/2 in k 9.768 * [backup-simplify]: Simplify 1/2 into 1/2 9.768 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in k 9.768 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 9.768 * [taylor]: Taking taylor expansion of 1 in k 9.768 * [backup-simplify]: Simplify 1 into 1 9.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.768 * [taylor]: Taking taylor expansion of k in k 9.768 * [backup-simplify]: Simplify 0 into 0 9.768 * [backup-simplify]: Simplify 1 into 1 9.768 * [backup-simplify]: Simplify (/ 1 1) into 1 9.769 * [taylor]: Taking taylor expansion of (log PI) in k 9.769 * [taylor]: Taking taylor expansion of PI in k 9.769 * [backup-simplify]: Simplify PI into PI 9.769 * [backup-simplify]: Simplify (log PI) into (log PI) 9.769 * [backup-simplify]: Simplify (- 1) into -1 9.770 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.771 * [backup-simplify]: Simplify (* -1 (log PI)) into (* -1 (log PI)) 9.772 * [backup-simplify]: Simplify (* 1/2 (* -1 (log PI))) into (* -1/2 (log PI)) 9.773 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 9.773 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in k 9.773 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in k 9.773 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in k 9.773 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 9.773 * [taylor]: Taking taylor expansion of 1/2 in k 9.773 * [backup-simplify]: Simplify 1/2 into 1/2 9.773 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 9.773 * [taylor]: Taking taylor expansion of 1 in k 9.773 * [backup-simplify]: Simplify 1 into 1 9.773 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.773 * [taylor]: Taking taylor expansion of k in k 9.773 * [backup-simplify]: Simplify 0 into 0 9.773 * [backup-simplify]: Simplify 1 into 1 9.773 * [backup-simplify]: Simplify (/ 1 1) into 1 9.774 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k 9.774 * [taylor]: Taking taylor expansion of (/ 2 n) in k 9.774 * [taylor]: Taking taylor expansion of 2 in k 9.774 * [backup-simplify]: Simplify 2 into 2 9.774 * [taylor]: Taking taylor expansion of n in k 9.774 * [backup-simplify]: Simplify n into n 9.774 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n) 9.774 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n)) 9.774 * [backup-simplify]: Simplify (- 1) into -1 9.775 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.775 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 9.775 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 9.775 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) 9.775 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.775 * [taylor]: Taking taylor expansion of k in k 9.775 * [backup-simplify]: Simplify 0 into 0 9.775 * [backup-simplify]: Simplify 1 into 1 9.776 * [backup-simplify]: Simplify (sqrt 0) into 0 9.777 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.778 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) 9.779 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) 0) into 0 9.779 * [taylor]: Taking taylor expansion of 0 in n 9.779 * [backup-simplify]: Simplify 0 into 0 9.779 * [backup-simplify]: Simplify 0 into 0 9.780 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) into 0 9.781 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) 9.781 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) in n 9.781 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) in n 9.781 * [taylor]: Taking taylor expansion of +nan.0 in n 9.781 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.781 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) in n 9.781 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in n 9.781 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in n 9.781 * [taylor]: Taking taylor expansion of 1/2 in n 9.781 * [backup-simplify]: Simplify 1/2 into 1/2 9.781 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in n 9.781 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 9.781 * [taylor]: Taking taylor expansion of 1 in n 9.781 * [backup-simplify]: Simplify 1 into 1 9.781 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.781 * [taylor]: Taking taylor expansion of k in n 9.781 * [backup-simplify]: Simplify k into k 9.781 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.781 * [taylor]: Taking taylor expansion of (log PI) in n 9.782 * [taylor]: Taking taylor expansion of PI in n 9.782 * [backup-simplify]: Simplify PI into PI 9.782 * [backup-simplify]: Simplify (log PI) into (log PI) 9.782 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.782 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 9.783 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log PI)) into (* (- 1 (/ 1 k)) (log PI)) 9.783 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (log PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 9.784 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 9.784 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) in n 9.784 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))) in n 9.784 * [taylor]: Taking taylor expansion of 1/2 in n 9.784 * [backup-simplify]: Simplify 1/2 into 1/2 9.784 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 2 n))) in n 9.784 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 9.784 * [taylor]: Taking taylor expansion of 1 in n 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.784 * [taylor]: Taking taylor expansion of k in n 9.784 * [backup-simplify]: Simplify k into k 9.784 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.784 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 9.784 * [taylor]: Taking taylor expansion of (/ 2 n) in n 9.784 * [taylor]: Taking taylor expansion of 2 in n 9.784 * [backup-simplify]: Simplify 2 into 2 9.784 * [taylor]: Taking taylor expansion of n in n 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.785 * [backup-simplify]: Simplify (/ 2 1) into 2 9.785 * [backup-simplify]: Simplify (log 2) into (log 2) 9.785 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.785 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 9.786 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 9.786 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log 2) (log n))) into (* (- 1 (/ 1 k)) (- (log 2) (log n))) 9.787 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 9.787 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 9.788 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 9.790 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 9.791 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 9.792 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 9.792 * [backup-simplify]: Simplify 0 into 0 9.795 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.796 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) into 0 9.797 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) 9.798 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) in n 9.798 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) in n 9.798 * [taylor]: Taking taylor expansion of +nan.0 in n 9.798 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.798 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) in n 9.798 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in n 9.798 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in n 9.798 * [taylor]: Taking taylor expansion of 1/2 in n 9.798 * [backup-simplify]: Simplify 1/2 into 1/2 9.798 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in n 9.798 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 9.798 * [taylor]: Taking taylor expansion of 1 in n 9.798 * [backup-simplify]: Simplify 1 into 1 9.798 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.798 * [taylor]: Taking taylor expansion of k in n 9.798 * [backup-simplify]: Simplify k into k 9.798 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.798 * [taylor]: Taking taylor expansion of (log PI) in n 9.798 * [taylor]: Taking taylor expansion of PI in n 9.798 * [backup-simplify]: Simplify PI into PI 9.798 * [backup-simplify]: Simplify (log PI) into (log PI) 9.799 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.799 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 9.799 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log PI)) into (* (- 1 (/ 1 k)) (log PI)) 9.800 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (log PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 9.800 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 9.800 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) in n 9.800 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))) in n 9.800 * [taylor]: Taking taylor expansion of 1/2 in n 9.800 * [backup-simplify]: Simplify 1/2 into 1/2 9.800 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 2 n))) in n 9.800 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 9.800 * [taylor]: Taking taylor expansion of 1 in n 9.800 * [backup-simplify]: Simplify 1 into 1 9.800 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.800 * [taylor]: Taking taylor expansion of k in n 9.800 * [backup-simplify]: Simplify k into k 9.800 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.800 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 9.800 * [taylor]: Taking taylor expansion of (/ 2 n) in n 9.800 * [taylor]: Taking taylor expansion of 2 in n 9.801 * [backup-simplify]: Simplify 2 into 2 9.801 * [taylor]: Taking taylor expansion of n in n 9.801 * [backup-simplify]: Simplify 0 into 0 9.801 * [backup-simplify]: Simplify 1 into 1 9.801 * [backup-simplify]: Simplify (/ 2 1) into 2 9.801 * [backup-simplify]: Simplify (log 2) into (log 2) 9.801 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.802 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 9.802 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 9.803 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log 2) (log n))) into (* (- 1 (/ 1 k)) (- (log 2) (log n))) 9.803 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 9.804 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 9.805 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 9.805 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 9.806 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 9.807 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 9.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 9.808 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 9.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.808 * [backup-simplify]: Simplify (- 0) into 0 9.809 * [backup-simplify]: Simplify (+ 0 0) into 0 9.809 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 9.810 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log 2) (log n)))) into 0 9.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into 0 9.811 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.812 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 9.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.812 * [backup-simplify]: Simplify (- 0) into 0 9.812 * [backup-simplify]: Simplify (+ 0 0) into 0 9.813 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (log PI))) into 0 9.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (log PI)))) into 0 9.814 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.815 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into 0 9.816 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into 0 9.816 * [backup-simplify]: Simplify (- 0) into 0 9.816 * [backup-simplify]: Simplify 0 into 0 9.816 * [backup-simplify]: Simplify 0 into 0 9.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.820 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))))) into 0 9.821 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) 9.821 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) in n 9.821 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) in n 9.821 * [taylor]: Taking taylor expansion of +nan.0 in n 9.821 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.821 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) in n 9.821 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in n 9.821 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in n 9.821 * [taylor]: Taking taylor expansion of 1/2 in n 9.821 * [backup-simplify]: Simplify 1/2 into 1/2 9.821 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in n 9.821 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 9.821 * [taylor]: Taking taylor expansion of 1 in n 9.821 * [backup-simplify]: Simplify 1 into 1 9.821 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.821 * [taylor]: Taking taylor expansion of k in n 9.821 * [backup-simplify]: Simplify k into k 9.821 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.821 * [taylor]: Taking taylor expansion of (log PI) in n 9.821 * [taylor]: Taking taylor expansion of PI in n 9.821 * [backup-simplify]: Simplify PI into PI 9.821 * [backup-simplify]: Simplify (log PI) into (log PI) 9.822 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.822 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 9.822 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log PI)) into (* (- 1 (/ 1 k)) (log PI)) 9.822 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (log PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 9.823 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 9.823 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) in n 9.823 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))) in n 9.823 * [taylor]: Taking taylor expansion of 1/2 in n 9.823 * [backup-simplify]: Simplify 1/2 into 1/2 9.823 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 2 n))) in n 9.823 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 9.823 * [taylor]: Taking taylor expansion of 1 in n 9.823 * [backup-simplify]: Simplify 1 into 1 9.823 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.823 * [taylor]: Taking taylor expansion of k in n 9.823 * [backup-simplify]: Simplify k into k 9.823 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.823 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 9.823 * [taylor]: Taking taylor expansion of (/ 2 n) in n 9.823 * [taylor]: Taking taylor expansion of 2 in n 9.823 * [backup-simplify]: Simplify 2 into 2 9.823 * [taylor]: Taking taylor expansion of n in n 9.823 * [backup-simplify]: Simplify 0 into 0 9.823 * [backup-simplify]: Simplify 1 into 1 9.823 * [backup-simplify]: Simplify (/ 2 1) into 2 9.823 * [backup-simplify]: Simplify (log 2) into (log 2) 9.823 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.824 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 9.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 9.824 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log 2) (log n))) into (* (- 1 (/ 1 k)) (- (log 2) (log n))) 9.825 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 9.825 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 9.826 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 9.826 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 9.827 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 9.828 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 9.830 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n))))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 3)))))))) 9.831 * [backup-simplify]: Simplify (* (exp (* (/ (- 1 (/ 1 (- k))) 2) (log PI))) (/ (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k))))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) 9.831 * [approximate]: Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in (k n) around 0 9.831 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in n 9.831 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) in n 9.831 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in n 9.831 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in n 9.831 * [taylor]: Taking taylor expansion of 1/2 in n 9.831 * [backup-simplify]: Simplify 1/2 into 1/2 9.831 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in n 9.831 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 9.831 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.831 * [taylor]: Taking taylor expansion of k in n 9.831 * [backup-simplify]: Simplify k into k 9.831 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.831 * [taylor]: Taking taylor expansion of 1 in n 9.831 * [backup-simplify]: Simplify 1 into 1 9.831 * [taylor]: Taking taylor expansion of (log PI) in n 9.831 * [taylor]: Taking taylor expansion of PI in n 9.831 * [backup-simplify]: Simplify PI into PI 9.831 * [backup-simplify]: Simplify (log PI) into (log PI) 9.831 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 9.832 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log PI)) into (* (+ (/ 1 k) 1) (log PI)) 9.832 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (log PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 9.832 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 9.832 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in n 9.832 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in n 9.832 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in n 9.832 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 9.832 * [taylor]: Taking taylor expansion of 1/2 in n 9.832 * [backup-simplify]: Simplify 1/2 into 1/2 9.832 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 9.832 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.832 * [taylor]: Taking taylor expansion of k in n 9.832 * [backup-simplify]: Simplify k into k 9.833 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.833 * [taylor]: Taking taylor expansion of 1 in n 9.833 * [backup-simplify]: Simplify 1 into 1 9.833 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 9.833 * [taylor]: Taking taylor expansion of (/ -2 n) in n 9.833 * [taylor]: Taking taylor expansion of -2 in n 9.833 * [backup-simplify]: Simplify -2 into -2 9.833 * [taylor]: Taking taylor expansion of n in n 9.833 * [backup-simplify]: Simplify 0 into 0 9.833 * [backup-simplify]: Simplify 1 into 1 9.833 * [backup-simplify]: Simplify (/ -2 1) into -2 9.833 * [backup-simplify]: Simplify (log -2) into (log -2) 9.833 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 9.833 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 9.834 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 9.834 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 9.835 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 9.835 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 9.835 * [taylor]: Taking taylor expansion of (/ -1 k) in n 9.835 * [taylor]: Taking taylor expansion of -1 in n 9.835 * [backup-simplify]: Simplify -1 into -1 9.835 * [taylor]: Taking taylor expansion of k in n 9.835 * [backup-simplify]: Simplify k into k 9.835 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 9.835 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 9.835 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 9.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 9.836 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 9.836 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) (sqrt (/ -1 k))) 9.836 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in k 9.836 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) in k 9.836 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in k 9.836 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in k 9.836 * [taylor]: Taking taylor expansion of 1/2 in k 9.836 * [backup-simplify]: Simplify 1/2 into 1/2 9.836 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in k 9.836 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 9.836 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.836 * [taylor]: Taking taylor expansion of k in k 9.836 * [backup-simplify]: Simplify 0 into 0 9.836 * [backup-simplify]: Simplify 1 into 1 9.837 * [backup-simplify]: Simplify (/ 1 1) into 1 9.837 * [taylor]: Taking taylor expansion of 1 in k 9.837 * [backup-simplify]: Simplify 1 into 1 9.837 * [taylor]: Taking taylor expansion of (log PI) in k 9.837 * [taylor]: Taking taylor expansion of PI in k 9.837 * [backup-simplify]: Simplify PI into PI 9.837 * [backup-simplify]: Simplify (log PI) into (log PI) 9.837 * [backup-simplify]: Simplify (+ 1 0) into 1 9.838 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 9.838 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 9.839 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 9.839 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in k 9.839 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in k 9.839 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in k 9.839 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 9.839 * [taylor]: Taking taylor expansion of 1/2 in k 9.839 * [backup-simplify]: Simplify 1/2 into 1/2 9.839 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 9.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.839 * [taylor]: Taking taylor expansion of k in k 9.839 * [backup-simplify]: Simplify 0 into 0 9.839 * [backup-simplify]: Simplify 1 into 1 9.839 * [backup-simplify]: Simplify (/ 1 1) into 1 9.839 * [taylor]: Taking taylor expansion of 1 in k 9.839 * [backup-simplify]: Simplify 1 into 1 9.839 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k 9.839 * [taylor]: Taking taylor expansion of (/ -2 n) in k 9.839 * [taylor]: Taking taylor expansion of -2 in k 9.839 * [backup-simplify]: Simplify -2 into -2 9.839 * [taylor]: Taking taylor expansion of n in k 9.839 * [backup-simplify]: Simplify n into n 9.839 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 9.839 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n)) 9.840 * [backup-simplify]: Simplify (+ 1 0) into 1 9.840 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.840 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 9.840 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) 9.840 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.840 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.840 * [taylor]: Taking taylor expansion of -1 in k 9.840 * [backup-simplify]: Simplify -1 into -1 9.840 * [taylor]: Taking taylor expansion of k in k 9.840 * [backup-simplify]: Simplify 0 into 0 9.840 * [backup-simplify]: Simplify 1 into 1 9.841 * [backup-simplify]: Simplify (/ -1 1) into -1 9.841 * [backup-simplify]: Simplify (sqrt 0) into 0 9.842 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.842 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) 9.842 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) 9.842 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in k 9.842 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) in k 9.843 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in k 9.843 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in k 9.843 * [taylor]: Taking taylor expansion of 1/2 in k 9.843 * [backup-simplify]: Simplify 1/2 into 1/2 9.843 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in k 9.843 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 9.843 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.843 * [taylor]: Taking taylor expansion of k in k 9.843 * [backup-simplify]: Simplify 0 into 0 9.843 * [backup-simplify]: Simplify 1 into 1 9.843 * [backup-simplify]: Simplify (/ 1 1) into 1 9.843 * [taylor]: Taking taylor expansion of 1 in k 9.843 * [backup-simplify]: Simplify 1 into 1 9.843 * [taylor]: Taking taylor expansion of (log PI) in k 9.843 * [taylor]: Taking taylor expansion of PI in k 9.843 * [backup-simplify]: Simplify PI into PI 9.843 * [backup-simplify]: Simplify (log PI) into (log PI) 9.844 * [backup-simplify]: Simplify (+ 1 0) into 1 9.844 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 9.845 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 9.845 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 9.845 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in k 9.845 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in k 9.845 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in k 9.845 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 9.845 * [taylor]: Taking taylor expansion of 1/2 in k 9.845 * [backup-simplify]: Simplify 1/2 into 1/2 9.845 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 9.845 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.845 * [taylor]: Taking taylor expansion of k in k 9.845 * [backup-simplify]: Simplify 0 into 0 9.845 * [backup-simplify]: Simplify 1 into 1 9.845 * [backup-simplify]: Simplify (/ 1 1) into 1 9.845 * [taylor]: Taking taylor expansion of 1 in k 9.845 * [backup-simplify]: Simplify 1 into 1 9.845 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k 9.845 * [taylor]: Taking taylor expansion of (/ -2 n) in k 9.845 * [taylor]: Taking taylor expansion of -2 in k 9.845 * [backup-simplify]: Simplify -2 into -2 9.845 * [taylor]: Taking taylor expansion of n in k 9.846 * [backup-simplify]: Simplify n into n 9.846 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 9.846 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n)) 9.846 * [backup-simplify]: Simplify (+ 1 0) into 1 9.846 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.846 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 9.846 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) 9.846 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.846 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.846 * [taylor]: Taking taylor expansion of -1 in k 9.846 * [backup-simplify]: Simplify -1 into -1 9.846 * [taylor]: Taking taylor expansion of k in k 9.846 * [backup-simplify]: Simplify 0 into 0 9.846 * [backup-simplify]: Simplify 1 into 1 9.847 * [backup-simplify]: Simplify (/ -1 1) into -1 9.847 * [backup-simplify]: Simplify (sqrt 0) into 0 9.848 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.848 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) 9.849 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) 9.849 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) in n 9.849 * [taylor]: Taking taylor expansion of +nan.0 in n 9.849 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.849 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) in n 9.849 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in n 9.849 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in n 9.849 * [taylor]: Taking taylor expansion of 1/2 in n 9.849 * [backup-simplify]: Simplify 1/2 into 1/2 9.849 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in n 9.849 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 9.849 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.849 * [taylor]: Taking taylor expansion of k in n 9.849 * [backup-simplify]: Simplify k into k 9.849 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.849 * [taylor]: Taking taylor expansion of 1 in n 9.849 * [backup-simplify]: Simplify 1 into 1 9.849 * [taylor]: Taking taylor expansion of (log PI) in n 9.849 * [taylor]: Taking taylor expansion of PI in n 9.849 * [backup-simplify]: Simplify PI into PI 9.849 * [backup-simplify]: Simplify (log PI) into (log PI) 9.849 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 9.850 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log PI)) into (* (+ (/ 1 k) 1) (log PI)) 9.850 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (log PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 9.850 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 9.850 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) in n 9.850 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))) in n 9.850 * [taylor]: Taking taylor expansion of 1/2 in n 9.850 * [backup-simplify]: Simplify 1/2 into 1/2 9.850 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -2 n))) in n 9.850 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 9.850 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.850 * [taylor]: Taking taylor expansion of k in n 9.850 * [backup-simplify]: Simplify k into k 9.850 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.850 * [taylor]: Taking taylor expansion of 1 in n 9.850 * [backup-simplify]: Simplify 1 into 1 9.850 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 9.850 * [taylor]: Taking taylor expansion of (/ -2 n) in n 9.850 * [taylor]: Taking taylor expansion of -2 in n 9.850 * [backup-simplify]: Simplify -2 into -2 9.850 * [taylor]: Taking taylor expansion of n in n 9.850 * [backup-simplify]: Simplify 0 into 0 9.850 * [backup-simplify]: Simplify 1 into 1 9.851 * [backup-simplify]: Simplify (/ -2 1) into -2 9.851 * [backup-simplify]: Simplify (log -2) into (log -2) 9.851 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 9.852 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 9.852 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -2) (log n))) into (* (+ (/ 1 k) 1) (- (log -2) (log n))) 9.852 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 9.853 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 9.853 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 9.854 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 9.855 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 9.855 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) into 0 9.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.858 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.859 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) 9.859 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) in n 9.859 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) in n 9.859 * [taylor]: Taking taylor expansion of +nan.0 in n 9.859 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.859 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) in n 9.859 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in n 9.859 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in n 9.859 * [taylor]: Taking taylor expansion of 1/2 in n 9.859 * [backup-simplify]: Simplify 1/2 into 1/2 9.859 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in n 9.859 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 9.859 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.859 * [taylor]: Taking taylor expansion of k in n 9.859 * [backup-simplify]: Simplify k into k 9.859 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.859 * [taylor]: Taking taylor expansion of 1 in n 9.859 * [backup-simplify]: Simplify 1 into 1 9.859 * [taylor]: Taking taylor expansion of (log PI) in n 9.859 * [taylor]: Taking taylor expansion of PI in n 9.859 * [backup-simplify]: Simplify PI into PI 9.859 * [backup-simplify]: Simplify (log PI) into (log PI) 9.859 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 9.860 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log PI)) into (* (+ (/ 1 k) 1) (log PI)) 9.860 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (log PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 9.860 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 9.860 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) in n 9.860 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))) in n 9.860 * [taylor]: Taking taylor expansion of 1/2 in n 9.860 * [backup-simplify]: Simplify 1/2 into 1/2 9.860 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -2 n))) in n 9.860 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 9.860 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.860 * [taylor]: Taking taylor expansion of k in n 9.860 * [backup-simplify]: Simplify k into k 9.860 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.860 * [taylor]: Taking taylor expansion of 1 in n 9.861 * [backup-simplify]: Simplify 1 into 1 9.861 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 9.861 * [taylor]: Taking taylor expansion of (/ -2 n) in n 9.861 * [taylor]: Taking taylor expansion of -2 in n 9.861 * [backup-simplify]: Simplify -2 into -2 9.861 * [taylor]: Taking taylor expansion of n in n 9.861 * [backup-simplify]: Simplify 0 into 0 9.861 * [backup-simplify]: Simplify 1 into 1 9.861 * [backup-simplify]: Simplify (/ -2 1) into -2 9.861 * [backup-simplify]: Simplify (log -2) into (log -2) 9.861 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 9.862 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 9.862 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -2) (log n))) into (* (+ (/ 1 k) 1) (- (log -2) (log n))) 9.862 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 9.863 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 9.863 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 9.864 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 9.865 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) 9.865 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) 9.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 9.867 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 9.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.867 * [backup-simplify]: Simplify (+ 0 0) into 0 9.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 9.868 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (- (log -2) (log n)))) into 0 9.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into 0 9.869 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.874 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 9.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.875 * [backup-simplify]: Simplify (+ 0 0) into 0 9.876 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (log PI))) into 0 9.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (log PI)))) into 0 9.878 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.878 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into 0 9.879 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into 0 9.879 * [backup-simplify]: Simplify 0 into 0 9.880 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) into 0 9.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.885 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) 9.885 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) in n 9.885 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) in n 9.885 * [taylor]: Taking taylor expansion of +nan.0 in n 9.885 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.885 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) in n 9.885 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in n 9.885 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in n 9.885 * [taylor]: Taking taylor expansion of 1/2 in n 9.885 * [backup-simplify]: Simplify 1/2 into 1/2 9.885 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in n 9.885 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 9.885 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.885 * [taylor]: Taking taylor expansion of k in n 9.885 * [backup-simplify]: Simplify k into k 9.885 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.885 * [taylor]: Taking taylor expansion of 1 in n 9.885 * [backup-simplify]: Simplify 1 into 1 9.885 * [taylor]: Taking taylor expansion of (log PI) in n 9.885 * [taylor]: Taking taylor expansion of PI in n 9.885 * [backup-simplify]: Simplify PI into PI 9.885 * [backup-simplify]: Simplify (log PI) into (log PI) 9.885 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 9.886 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log PI)) into (* (+ (/ 1 k) 1) (log PI)) 9.886 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (log PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 9.886 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 9.886 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) in n 9.886 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))) in n 9.886 * [taylor]: Taking taylor expansion of 1/2 in n 9.886 * [backup-simplify]: Simplify 1/2 into 1/2 9.886 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -2 n))) in n 9.886 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 9.886 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.886 * [taylor]: Taking taylor expansion of k in n 9.886 * [backup-simplify]: Simplify k into k 9.887 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.887 * [taylor]: Taking taylor expansion of 1 in n 9.887 * [backup-simplify]: Simplify 1 into 1 9.887 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 9.887 * [taylor]: Taking taylor expansion of (/ -2 n) in n 9.887 * [taylor]: Taking taylor expansion of -2 in n 9.887 * [backup-simplify]: Simplify -2 into -2 9.887 * [taylor]: Taking taylor expansion of n in n 9.887 * [backup-simplify]: Simplify 0 into 0 9.887 * [backup-simplify]: Simplify 1 into 1 9.887 * [backup-simplify]: Simplify (/ -2 1) into -2 9.887 * [backup-simplify]: Simplify (log -2) into (log -2) 9.887 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 9.888 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 9.888 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -2) (log n))) into (* (+ (/ 1 k) 1) (- (log -2) (log n))) 9.888 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 9.889 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 9.889 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 9.890 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 9.891 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) 9.891 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) 9.894 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n))))))))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2))) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))))))))) 9.894 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 9.894 * [backup-simplify]: Simplify (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 n) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 9.894 * [approximate]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 9.894 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 9.894 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in k 9.894 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in k 9.894 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in k 9.894 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 9.894 * [taylor]: Taking taylor expansion of 1/2 in k 9.894 * [backup-simplify]: Simplify 1/2 into 1/2 9.894 * [taylor]: Taking taylor expansion of (- 1 k) in k 9.894 * [taylor]: Taking taylor expansion of 1 in k 9.894 * [backup-simplify]: Simplify 1 into 1 9.894 * [taylor]: Taking taylor expansion of k in k 9.894 * [backup-simplify]: Simplify 0 into 0 9.894 * [backup-simplify]: Simplify 1 into 1 9.894 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k 9.894 * [taylor]: Taking taylor expansion of (* 2 n) in k 9.894 * [taylor]: Taking taylor expansion of 2 in k 9.894 * [backup-simplify]: Simplify 2 into 2 9.894 * [taylor]: Taking taylor expansion of n in k 9.894 * [backup-simplify]: Simplify n into n 9.894 * [backup-simplify]: Simplify (* 2 n) into (* 2 n) 9.894 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n)) 9.895 * [backup-simplify]: Simplify (- 0) into 0 9.895 * [backup-simplify]: Simplify (+ 1 0) into 1 9.895 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.895 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 9.895 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 9.895 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.895 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.895 * [taylor]: Taking taylor expansion of k in k 9.895 * [backup-simplify]: Simplify 0 into 0 9.895 * [backup-simplify]: Simplify 1 into 1 9.896 * [backup-simplify]: Simplify (/ 1 1) into 1 9.896 * [backup-simplify]: Simplify (sqrt 0) into 0 9.897 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.897 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 9.897 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in n 9.897 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in n 9.897 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in n 9.897 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 9.897 * [taylor]: Taking taylor expansion of 1/2 in n 9.897 * [backup-simplify]: Simplify 1/2 into 1/2 9.897 * [taylor]: Taking taylor expansion of (- 1 k) in n 9.897 * [taylor]: Taking taylor expansion of 1 in n 9.897 * [backup-simplify]: Simplify 1 into 1 9.897 * [taylor]: Taking taylor expansion of k in n 9.897 * [backup-simplify]: Simplify k into k 9.897 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 9.897 * [taylor]: Taking taylor expansion of (* 2 n) in n 9.897 * [taylor]: Taking taylor expansion of 2 in n 9.897 * [backup-simplify]: Simplify 2 into 2 9.897 * [taylor]: Taking taylor expansion of n in n 9.897 * [backup-simplify]: Simplify 0 into 0 9.897 * [backup-simplify]: Simplify 1 into 1 9.897 * [backup-simplify]: Simplify (* 2 0) into 0 9.898 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 9.898 * [backup-simplify]: Simplify (log 2) into (log 2) 9.898 * [backup-simplify]: Simplify (- k) into (- k) 9.898 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 9.898 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 9.899 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.899 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) 9.899 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 9.899 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.899 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.899 * [taylor]: Taking taylor expansion of k in n 9.899 * [backup-simplify]: Simplify k into k 9.899 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.899 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 9.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 9.900 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 9.900 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in n 9.900 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in n 9.900 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in n 9.900 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 9.900 * [taylor]: Taking taylor expansion of 1/2 in n 9.900 * [backup-simplify]: Simplify 1/2 into 1/2 9.900 * [taylor]: Taking taylor expansion of (- 1 k) in n 9.900 * [taylor]: Taking taylor expansion of 1 in n 9.900 * [backup-simplify]: Simplify 1 into 1 9.900 * [taylor]: Taking taylor expansion of k in n 9.900 * [backup-simplify]: Simplify k into k 9.900 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 9.900 * [taylor]: Taking taylor expansion of (* 2 n) in n 9.900 * [taylor]: Taking taylor expansion of 2 in n 9.900 * [backup-simplify]: Simplify 2 into 2 9.900 * [taylor]: Taking taylor expansion of n in n 9.900 * [backup-simplify]: Simplify 0 into 0 9.900 * [backup-simplify]: Simplify 1 into 1 9.900 * [backup-simplify]: Simplify (* 2 0) into 0 9.900 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 9.901 * [backup-simplify]: Simplify (log 2) into (log 2) 9.901 * [backup-simplify]: Simplify (- k) into (- k) 9.901 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 9.901 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 9.901 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.902 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) 9.902 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 9.902 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.902 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.902 * [taylor]: Taking taylor expansion of k in n 9.902 * [backup-simplify]: Simplify k into k 9.902 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.902 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 9.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 9.903 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (sqrt (/ 1 k))) 9.903 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (sqrt (/ 1 k))) in k 9.903 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) in k 9.903 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) in k 9.903 * [taylor]: Taking taylor expansion of 1/2 in k 9.903 * [backup-simplify]: Simplify 1/2 into 1/2 9.903 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log 2) (log n))) in k 9.903 * [taylor]: Taking taylor expansion of (- 1 k) in k 9.903 * [taylor]: Taking taylor expansion of 1 in k 9.903 * [backup-simplify]: Simplify 1 into 1 9.903 * [taylor]: Taking taylor expansion of k in k 9.903 * [backup-simplify]: Simplify 0 into 0 9.903 * [backup-simplify]: Simplify 1 into 1 9.903 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k 9.903 * [taylor]: Taking taylor expansion of (log 2) in k 9.903 * [taylor]: Taking taylor expansion of 2 in k 9.903 * [backup-simplify]: Simplify 2 into 2 9.903 * [backup-simplify]: Simplify (log 2) into (log 2) 9.903 * [taylor]: Taking taylor expansion of (log n) in k 9.903 * [taylor]: Taking taylor expansion of n in k 9.903 * [backup-simplify]: Simplify n into n 9.904 * [backup-simplify]: Simplify (log n) into (log n) 9.904 * [backup-simplify]: Simplify (- 0) into 0 9.904 * [backup-simplify]: Simplify (+ 1 0) into 1 9.904 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 9.905 * [backup-simplify]: Simplify (* 1 (+ (log 2) (log n))) into (+ (log 2) (log n)) 9.905 * [backup-simplify]: Simplify (* 1/2 (+ (log 2) (log n))) into (* 1/2 (+ (log 2) (log n))) 9.905 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 9.905 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.905 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.905 * [taylor]: Taking taylor expansion of k in k 9.905 * [backup-simplify]: Simplify 0 into 0 9.905 * [backup-simplify]: Simplify 1 into 1 9.906 * [backup-simplify]: Simplify (/ 1 1) into 1 9.906 * [backup-simplify]: Simplify (sqrt 0) into 0 9.907 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.907 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 0) into 0 9.907 * [backup-simplify]: Simplify 0 into 0 9.908 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 9.908 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 9.909 * [backup-simplify]: Simplify (- 0) into 0 9.909 * [backup-simplify]: Simplify (+ 0 0) into 0 9.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 9.910 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.910 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 9.911 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.911 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 9.911 * [taylor]: Taking taylor expansion of 0 in k 9.911 * [backup-simplify]: Simplify 0 into 0 9.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 9.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 9.913 * [backup-simplify]: Simplify (+ 0 0) into 0 9.913 * [backup-simplify]: Simplify (- 1) into -1 9.913 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.914 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log 2) (log n)))) into (- (+ (log 2) (log n))) 9.914 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n)))) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 9.915 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 9.916 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 9.917 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 9.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.917 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 9.918 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.919 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 9.920 * [backup-simplify]: Simplify (- 0) into 0 9.920 * [backup-simplify]: Simplify (+ 0 0) into 0 9.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 9.921 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.922 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 9.923 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.924 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 9.924 * [taylor]: Taking taylor expansion of 0 in k 9.924 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.926 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.927 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 9.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 9.929 * [backup-simplify]: Simplify (+ 0 0) into 0 9.929 * [backup-simplify]: Simplify (- 0) into 0 9.929 * [backup-simplify]: Simplify (+ 0 0) into 0 9.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log 2) (log n))))) into 0 9.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n))))) into 0 9.932 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 9.935 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 0))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 9.936 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 9.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 9.937 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.940 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 9.940 * [backup-simplify]: Simplify (- 0) into 0 9.940 * [backup-simplify]: Simplify (+ 0 0) into 0 9.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 9.942 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 9.942 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 9.943 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.944 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 9.944 * [taylor]: Taking taylor expansion of 0 in k 9.944 * [backup-simplify]: Simplify 0 into 0 9.944 * [backup-simplify]: Simplify 0 into 0 9.944 * [backup-simplify]: Simplify 0 into 0 9.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.950 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 9.952 * [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 9.952 * [backup-simplify]: Simplify (+ 0 0) into 0 9.952 * [backup-simplify]: Simplify (- 0) into 0 9.952 * [backup-simplify]: Simplify (+ 0 0) into 0 9.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 9.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n)))))) into 0 9.957 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 9.967 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 9.971 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 9.976 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 9.977 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 9.977 * [approximate]: Taking taylor expansion of (* (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 9.977 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 9.977 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in k 9.977 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in k 9.977 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in k 9.977 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 9.977 * [taylor]: Taking taylor expansion of 1/2 in k 9.977 * [backup-simplify]: Simplify 1/2 into 1/2 9.977 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 9.977 * [taylor]: Taking taylor expansion of 1 in k 9.977 * [backup-simplify]: Simplify 1 into 1 9.977 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.977 * [taylor]: Taking taylor expansion of k in k 9.977 * [backup-simplify]: Simplify 0 into 0 9.977 * [backup-simplify]: Simplify 1 into 1 9.977 * [backup-simplify]: Simplify (/ 1 1) into 1 9.977 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k 9.977 * [taylor]: Taking taylor expansion of (/ 2 n) in k 9.977 * [taylor]: Taking taylor expansion of 2 in k 9.977 * [backup-simplify]: Simplify 2 into 2 9.977 * [taylor]: Taking taylor expansion of n in k 9.977 * [backup-simplify]: Simplify n into n 9.977 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n) 9.977 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n)) 9.977 * [backup-simplify]: Simplify (- 1) into -1 9.978 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.978 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 9.978 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 9.978 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) 9.978 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.978 * [taylor]: Taking taylor expansion of k in k 9.978 * [backup-simplify]: Simplify 0 into 0 9.978 * [backup-simplify]: Simplify 1 into 1 9.979 * [backup-simplify]: Simplify (sqrt 0) into 0 9.979 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.979 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 9.979 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in n 9.979 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in n 9.979 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in n 9.980 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 9.980 * [taylor]: Taking taylor expansion of 1/2 in n 9.980 * [backup-simplify]: Simplify 1/2 into 1/2 9.980 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 9.980 * [taylor]: Taking taylor expansion of 1 in n 9.980 * [backup-simplify]: Simplify 1 into 1 9.980 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.980 * [taylor]: Taking taylor expansion of k in n 9.980 * [backup-simplify]: Simplify k into k 9.980 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.980 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 9.980 * [taylor]: Taking taylor expansion of (/ 2 n) in n 9.980 * [taylor]: Taking taylor expansion of 2 in n 9.980 * [backup-simplify]: Simplify 2 into 2 9.980 * [taylor]: Taking taylor expansion of n in n 9.980 * [backup-simplify]: Simplify 0 into 0 9.980 * [backup-simplify]: Simplify 1 into 1 9.980 * [backup-simplify]: Simplify (/ 2 1) into 2 9.980 * [backup-simplify]: Simplify (log 2) into (log 2) 9.980 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.980 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 9.980 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 9.981 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 9.981 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 9.982 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 9.982 * [taylor]: Taking taylor expansion of (sqrt k) in n 9.982 * [taylor]: Taking taylor expansion of k in n 9.982 * [backup-simplify]: Simplify k into k 9.982 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 9.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 9.982 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 9.982 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in n 9.982 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in n 9.982 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in n 9.982 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 9.982 * [taylor]: Taking taylor expansion of 1/2 in n 9.982 * [backup-simplify]: Simplify 1/2 into 1/2 9.982 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 9.982 * [taylor]: Taking taylor expansion of 1 in n 9.982 * [backup-simplify]: Simplify 1 into 1 9.982 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.982 * [taylor]: Taking taylor expansion of k in n 9.982 * [backup-simplify]: Simplify k into k 9.982 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.982 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 9.982 * [taylor]: Taking taylor expansion of (/ 2 n) in n 9.982 * [taylor]: Taking taylor expansion of 2 in n 9.982 * [backup-simplify]: Simplify 2 into 2 9.982 * [taylor]: Taking taylor expansion of n in n 9.982 * [backup-simplify]: Simplify 0 into 0 9.982 * [backup-simplify]: Simplify 1 into 1 9.982 * [backup-simplify]: Simplify (/ 2 1) into 2 9.983 * [backup-simplify]: Simplify (log 2) into (log 2) 9.983 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.983 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 9.983 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 9.983 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 9.984 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 9.984 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 9.984 * [taylor]: Taking taylor expansion of (sqrt k) in n 9.984 * [taylor]: Taking taylor expansion of k in n 9.984 * [backup-simplify]: Simplify k into k 9.984 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 9.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 9.985 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (sqrt k)) 9.985 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (sqrt k)) in k 9.985 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) in k 9.985 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) in k 9.985 * [taylor]: Taking taylor expansion of 1/2 in k 9.985 * [backup-simplify]: Simplify 1/2 into 1/2 9.985 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log 2) (log n))) in k 9.985 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 9.985 * [taylor]: Taking taylor expansion of 1 in k 9.985 * [backup-simplify]: Simplify 1 into 1 9.985 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.985 * [taylor]: Taking taylor expansion of k in k 9.985 * [backup-simplify]: Simplify 0 into 0 9.985 * [backup-simplify]: Simplify 1 into 1 9.985 * [backup-simplify]: Simplify (/ 1 1) into 1 9.985 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k 9.985 * [taylor]: Taking taylor expansion of (log 2) in k 9.985 * [taylor]: Taking taylor expansion of 2 in k 9.985 * [backup-simplify]: Simplify 2 into 2 9.985 * [backup-simplify]: Simplify (log 2) into (log 2) 9.985 * [taylor]: Taking taylor expansion of (log n) in k 9.985 * [taylor]: Taking taylor expansion of n in k 9.985 * [backup-simplify]: Simplify n into n 9.985 * [backup-simplify]: Simplify (log n) into (log n) 9.986 * [backup-simplify]: Simplify (- 1) into -1 9.986 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.986 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.986 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 9.987 * [backup-simplify]: Simplify (* -1 (- (log 2) (log n))) into (* -1 (- (log 2) (log n))) 9.987 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log 2) (log n)))) into (* -1/2 (- (log 2) (log n))) 9.987 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 9.987 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.987 * [taylor]: Taking taylor expansion of k in k 9.987 * [backup-simplify]: Simplify 0 into 0 9.987 * [backup-simplify]: Simplify 1 into 1 9.988 * [backup-simplify]: Simplify (sqrt 0) into 0 9.988 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.989 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 0) into 0 9.989 * [backup-simplify]: Simplify 0 into 0 9.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 9.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 9.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.990 * [backup-simplify]: Simplify (- 0) into 0 9.991 * [backup-simplify]: Simplify (+ 0 0) into 0 9.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 9.992 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 9.992 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 9.993 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.993 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 0) (* 0 (sqrt k))) into 0 9.993 * [taylor]: Taking taylor expansion of 0 in k 9.993 * [backup-simplify]: Simplify 0 into 0 9.993 * [backup-simplify]: Simplify 0 into 0 9.994 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 9.994 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 9.994 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 9.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.997 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 9.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.997 * [backup-simplify]: Simplify (- 0) into 0 9.997 * [backup-simplify]: Simplify (+ 0 0) into 0 9.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 9.998 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 9.999 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 10.000 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.001 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 10.001 * [taylor]: Taking taylor expansion of 0 in k 10.001 * [backup-simplify]: Simplify 0 into 0 10.001 * [backup-simplify]: Simplify 0 into 0 10.001 * [backup-simplify]: Simplify 0 into 0 10.002 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.003 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 10.004 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 10.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 10.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.008 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 10.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.008 * [backup-simplify]: Simplify (- 0) into 0 10.008 * [backup-simplify]: Simplify (+ 0 0) into 0 10.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 10.010 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 10.010 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 10.012 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.012 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 10.012 * [taylor]: Taking taylor expansion of 0 in k 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify 0 into 0 10.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.016 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 10.016 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 10.017 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (pow k 3)))))))) 10.018 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 10.018 * [approximate]: Taking taylor expansion of (/ (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 10.018 * [taylor]: Taking taylor expansion of (/ (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 10.018 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in k 10.018 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in k 10.018 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in k 10.018 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 10.018 * [taylor]: Taking taylor expansion of 1/2 in k 10.018 * [backup-simplify]: Simplify 1/2 into 1/2 10.018 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 10.018 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.018 * [taylor]: Taking taylor expansion of k in k 10.018 * [backup-simplify]: Simplify 0 into 0 10.018 * [backup-simplify]: Simplify 1 into 1 10.018 * [backup-simplify]: Simplify (/ 1 1) into 1 10.018 * [taylor]: Taking taylor expansion of 1 in k 10.018 * [backup-simplify]: Simplify 1 into 1 10.018 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k 10.018 * [taylor]: Taking taylor expansion of (/ -2 n) in k 10.018 * [taylor]: Taking taylor expansion of -2 in k 10.018 * [backup-simplify]: Simplify -2 into -2 10.018 * [taylor]: Taking taylor expansion of n in k 10.018 * [backup-simplify]: Simplify n into n 10.018 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 10.018 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n)) 10.019 * [backup-simplify]: Simplify (+ 1 0) into 1 10.019 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.019 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 10.019 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) 10.019 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.019 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.019 * [taylor]: Taking taylor expansion of -1 in k 10.019 * [backup-simplify]: Simplify -1 into -1 10.019 * [taylor]: Taking taylor expansion of k in k 10.019 * [backup-simplify]: Simplify 0 into 0 10.019 * [backup-simplify]: Simplify 1 into 1 10.019 * [backup-simplify]: Simplify (/ -1 1) into -1 10.020 * [backup-simplify]: Simplify (sqrt 0) into 0 10.020 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.021 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) 10.021 * [taylor]: Taking taylor expansion of (/ (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 10.021 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in n 10.021 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in n 10.021 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in n 10.021 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 10.021 * [taylor]: Taking taylor expansion of 1/2 in n 10.021 * [backup-simplify]: Simplify 1/2 into 1/2 10.021 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 10.021 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.021 * [taylor]: Taking taylor expansion of k in n 10.021 * [backup-simplify]: Simplify k into k 10.021 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.021 * [taylor]: Taking taylor expansion of 1 in n 10.021 * [backup-simplify]: Simplify 1 into 1 10.021 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 10.021 * [taylor]: Taking taylor expansion of (/ -2 n) in n 10.021 * [taylor]: Taking taylor expansion of -2 in n 10.021 * [backup-simplify]: Simplify -2 into -2 10.021 * [taylor]: Taking taylor expansion of n in n 10.021 * [backup-simplify]: Simplify 0 into 0 10.021 * [backup-simplify]: Simplify 1 into 1 10.021 * [backup-simplify]: Simplify (/ -2 1) into -2 10.021 * [backup-simplify]: Simplify (log -2) into (log -2) 10.021 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 10.022 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 10.022 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 10.022 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 10.023 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 10.023 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 10.023 * [taylor]: Taking taylor expansion of (/ -1 k) in n 10.023 * [taylor]: Taking taylor expansion of -1 in n 10.023 * [backup-simplify]: Simplify -1 into -1 10.023 * [taylor]: Taking taylor expansion of k in n 10.023 * [backup-simplify]: Simplify k into k 10.023 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 10.023 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 10.023 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 10.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 10.023 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (sqrt (/ -1 k))) 10.023 * [taylor]: Taking taylor expansion of (/ (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 10.023 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in n 10.023 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in n 10.023 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in n 10.023 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 10.024 * [taylor]: Taking taylor expansion of 1/2 in n 10.024 * [backup-simplify]: Simplify 1/2 into 1/2 10.024 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 10.024 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.024 * [taylor]: Taking taylor expansion of k in n 10.024 * [backup-simplify]: Simplify k into k 10.024 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.024 * [taylor]: Taking taylor expansion of 1 in n 10.024 * [backup-simplify]: Simplify 1 into 1 10.024 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 10.024 * [taylor]: Taking taylor expansion of (/ -2 n) in n 10.024 * [taylor]: Taking taylor expansion of -2 in n 10.024 * [backup-simplify]: Simplify -2 into -2 10.024 * [taylor]: Taking taylor expansion of n in n 10.024 * [backup-simplify]: Simplify 0 into 0 10.024 * [backup-simplify]: Simplify 1 into 1 10.024 * [backup-simplify]: Simplify (/ -2 1) into -2 10.024 * [backup-simplify]: Simplify (log -2) into (log -2) 10.024 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 10.024 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 10.025 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 10.025 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 10.026 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 10.026 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 10.026 * [taylor]: Taking taylor expansion of (/ -1 k) in n 10.026 * [taylor]: Taking taylor expansion of -1 in n 10.026 * [backup-simplify]: Simplify -1 into -1 10.026 * [taylor]: Taking taylor expansion of k in n 10.026 * [backup-simplify]: Simplify k into k 10.026 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 10.026 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 10.026 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 10.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 10.026 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (sqrt (/ -1 k))) 10.027 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (sqrt (/ -1 k))) in k 10.027 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) in k 10.027 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) in k 10.027 * [taylor]: Taking taylor expansion of 1/2 in k 10.027 * [backup-simplify]: Simplify 1/2 into 1/2 10.027 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -2) (log n))) in k 10.027 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 10.027 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.027 * [taylor]: Taking taylor expansion of k in k 10.027 * [backup-simplify]: Simplify 0 into 0 10.027 * [backup-simplify]: Simplify 1 into 1 10.027 * [backup-simplify]: Simplify (/ 1 1) into 1 10.027 * [taylor]: Taking taylor expansion of 1 in k 10.027 * [backup-simplify]: Simplify 1 into 1 10.027 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k 10.027 * [taylor]: Taking taylor expansion of (log -2) in k 10.027 * [taylor]: Taking taylor expansion of -2 in k 10.027 * [backup-simplify]: Simplify -2 into -2 10.027 * [backup-simplify]: Simplify (log -2) into (log -2) 10.027 * [taylor]: Taking taylor expansion of (log n) in k 10.027 * [taylor]: Taking taylor expansion of n in k 10.027 * [backup-simplify]: Simplify n into n 10.027 * [backup-simplify]: Simplify (log n) into (log n) 10.028 * [backup-simplify]: Simplify (+ 1 0) into 1 10.028 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 10.028 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 10.028 * [backup-simplify]: Simplify (* 1 (- (log -2) (log n))) into (- (log -2) (log n)) 10.029 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 10.029 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 10.029 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.029 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.029 * [taylor]: Taking taylor expansion of -1 in k 10.029 * [backup-simplify]: Simplify -1 into -1 10.029 * [taylor]: Taking taylor expansion of k in k 10.029 * [backup-simplify]: Simplify 0 into 0 10.029 * [backup-simplify]: Simplify 1 into 1 10.029 * [backup-simplify]: Simplify (/ -1 1) into -1 10.030 * [backup-simplify]: Simplify (sqrt 0) into 0 10.030 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.031 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 10.031 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 10.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 10.032 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 10.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.033 * [backup-simplify]: Simplify (+ 0 0) into 0 10.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 10.033 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 10.034 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -2) (log n)))) into 0 10.035 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.035 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 10.035 * [taylor]: Taking taylor expansion of 0 in k 10.035 * [backup-simplify]: Simplify 0 into 0 10.035 * [backup-simplify]: Simplify 0 into 0 10.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.038 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.038 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 10.039 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 10.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.041 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 10.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.042 * [backup-simplify]: Simplify (+ 0 0) into 0 10.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 10.043 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 10.043 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 10.044 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.044 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.045 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 10.045 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 10.045 * [taylor]: Taking taylor expansion of 0 in k 10.045 * [backup-simplify]: Simplify 0 into 0 10.045 * [backup-simplify]: Simplify 0 into 0 10.045 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.052 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.054 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 10.055 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 10.056 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (pow k 2)))))))) 10.056 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 10.056 * [backup-simplify]: Simplify (* (/ (- 1 k) 2) (log PI)) into (* 1/2 (* (- 1 k) (log PI))) 10.056 * [approximate]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log PI))) in (k) around 0 10.056 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log PI))) in k 10.056 * [taylor]: Taking taylor expansion of 1/2 in k 10.056 * [backup-simplify]: Simplify 1/2 into 1/2 10.056 * [taylor]: Taking taylor expansion of (* (- 1 k) (log PI)) in k 10.056 * [taylor]: Taking taylor expansion of (- 1 k) in k 10.056 * [taylor]: Taking taylor expansion of 1 in k 10.056 * [backup-simplify]: Simplify 1 into 1 10.057 * [taylor]: Taking taylor expansion of k in k 10.057 * [backup-simplify]: Simplify 0 into 0 10.057 * [backup-simplify]: Simplify 1 into 1 10.057 * [taylor]: Taking taylor expansion of (log PI) in k 10.057 * [taylor]: Taking taylor expansion of PI in k 10.057 * [backup-simplify]: Simplify PI into PI 10.057 * [backup-simplify]: Simplify (log PI) into (log PI) 10.057 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log PI))) in k 10.057 * [taylor]: Taking taylor expansion of 1/2 in k 10.057 * [backup-simplify]: Simplify 1/2 into 1/2 10.057 * [taylor]: Taking taylor expansion of (* (- 1 k) (log PI)) in k 10.057 * [taylor]: Taking taylor expansion of (- 1 k) in k 10.057 * [taylor]: Taking taylor expansion of 1 in k 10.057 * [backup-simplify]: Simplify 1 into 1 10.057 * [taylor]: Taking taylor expansion of k in k 10.057 * [backup-simplify]: Simplify 0 into 0 10.057 * [backup-simplify]: Simplify 1 into 1 10.057 * [taylor]: Taking taylor expansion of (log PI) in k 10.057 * [taylor]: Taking taylor expansion of PI in k 10.057 * [backup-simplify]: Simplify PI into PI 10.057 * [backup-simplify]: Simplify (log PI) into (log PI) 10.058 * [backup-simplify]: Simplify (- 0) into 0 10.058 * [backup-simplify]: Simplify (+ 1 0) into 1 10.058 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 10.059 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 10.060 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 10.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.061 * [backup-simplify]: Simplify (- 1) into -1 10.061 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.062 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log PI))) into (- (log PI)) 10.064 * [backup-simplify]: Simplify (+ (* 1/2 (- (log PI))) (* 0 (log PI))) into (- (* 1/2 (log PI))) 10.065 * [backup-simplify]: Simplify (- (* 1/2 (log PI))) into (- (* 1/2 (log PI))) 10.066 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 10.067 * [backup-simplify]: Simplify (- 0) into 0 10.067 * [backup-simplify]: Simplify (+ 0 0) into 0 10.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log PI)))) into 0 10.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log PI))) (* 0 (log PI)))) into 0 10.068 * [backup-simplify]: Simplify 0 into 0 10.071 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 10.072 * [backup-simplify]: Simplify (- 0) into 0 10.072 * [backup-simplify]: Simplify (+ 0 0) into 0 10.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log PI))))) into 0 10.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log PI))) (* 0 (log PI))))) into 0 10.074 * [backup-simplify]: Simplify 0 into 0 10.085 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 10.085 * [backup-simplify]: Simplify (- 0) into 0 10.086 * [backup-simplify]: Simplify (+ 0 0) into 0 10.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 10.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (log PI))) (* 0 (log PI)))))) into 0 10.089 * [backup-simplify]: Simplify 0 into 0 10.107 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 10.108 * [backup-simplify]: Simplify (- 0) into 0 10.108 * [backup-simplify]: Simplify (+ 0 0) into 0 10.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 10.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (log PI))) (* 0 (log PI))))))) into 0 10.112 * [backup-simplify]: Simplify 0 into 0 10.142 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 10.142 * [backup-simplify]: Simplify (- 0) into 0 10.143 * [backup-simplify]: Simplify (+ 0 0) into 0 10.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 10.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (log PI))) (* 0 (log PI)))))))) into 0 10.145 * [backup-simplify]: Simplify 0 into 0 10.178 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 10.178 * [backup-simplify]: Simplify (- 0) into 0 10.178 * [backup-simplify]: Simplify (+ 0 0) into 0 10.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 10.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (log PI))) (* 0 (log PI))))))))) into 0 10.181 * [backup-simplify]: Simplify 0 into 0 10.182 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (log PI))) k) (* 1/2 (log PI))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 10.183 * [backup-simplify]: Simplify (* (/ (- 1 (/ 1 k)) 2) (log PI)) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 10.183 * [approximate]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in (k) around 0 10.183 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in k 10.183 * [taylor]: Taking taylor expansion of 1/2 in k 10.183 * [backup-simplify]: Simplify 1/2 into 1/2 10.183 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in k 10.183 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 10.183 * [taylor]: Taking taylor expansion of 1 in k 10.183 * [backup-simplify]: Simplify 1 into 1 10.183 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.183 * [taylor]: Taking taylor expansion of k in k 10.183 * [backup-simplify]: Simplify 0 into 0 10.183 * [backup-simplify]: Simplify 1 into 1 10.183 * [backup-simplify]: Simplify (/ 1 1) into 1 10.183 * [taylor]: Taking taylor expansion of (log PI) in k 10.183 * [taylor]: Taking taylor expansion of PI in k 10.183 * [backup-simplify]: Simplify PI into PI 10.184 * [backup-simplify]: Simplify (log PI) into (log PI) 10.184 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in k 10.184 * [taylor]: Taking taylor expansion of 1/2 in k 10.184 * [backup-simplify]: Simplify 1/2 into 1/2 10.184 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in k 10.184 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 10.184 * [taylor]: Taking taylor expansion of 1 in k 10.184 * [backup-simplify]: Simplify 1 into 1 10.184 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.184 * [taylor]: Taking taylor expansion of k in k 10.184 * [backup-simplify]: Simplify 0 into 0 10.184 * [backup-simplify]: Simplify 1 into 1 10.184 * [backup-simplify]: Simplify (/ 1 1) into 1 10.184 * [taylor]: Taking taylor expansion of (log PI) in k 10.184 * [taylor]: Taking taylor expansion of PI in k 10.184 * [backup-simplify]: Simplify PI into PI 10.184 * [backup-simplify]: Simplify (log PI) into (log PI) 10.185 * [backup-simplify]: Simplify (- 1) into -1 10.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.186 * [backup-simplify]: Simplify (* -1 (log PI)) into (* -1 (log PI)) 10.186 * [backup-simplify]: Simplify (* 1/2 (* -1 (log PI))) into (* -1/2 (log PI)) 10.187 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 10.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.188 * [backup-simplify]: Simplify (- 0) into 0 10.189 * [backup-simplify]: Simplify (+ 1 0) into 1 10.191 * [backup-simplify]: Simplify (+ (* -1 0) (* 1 (log PI))) into (log PI) 10.194 * [backup-simplify]: Simplify (+ (* 1/2 (log PI)) (* 0 (* -1 (log PI)))) into (* 1/2 (log PI)) 10.194 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 10.197 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 10.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.199 * [backup-simplify]: Simplify (- 0) into 0 10.199 * [backup-simplify]: Simplify (+ 0 0) into 0 10.200 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 (log PI)))) into 0 10.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (log PI)) (* 0 (* -1 (log PI))))) into 0 10.202 * [backup-simplify]: Simplify 0 into 0 10.207 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 10.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.208 * [backup-simplify]: Simplify (- 0) into 0 10.209 * [backup-simplify]: Simplify (+ 0 0) into 0 10.210 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log PI))))) into 0 10.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (log PI)) (* 0 (* -1 (log PI)))))) into 0 10.212 * [backup-simplify]: Simplify 0 into 0 10.222 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 10.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.224 * [backup-simplify]: Simplify (- 0) into 0 10.224 * [backup-simplify]: Simplify (+ 0 0) into 0 10.226 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 10.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (log PI)) (* 0 (* -1 (log PI))))))) into 0 10.228 * [backup-simplify]: Simplify 0 into 0 10.245 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 10.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.246 * [backup-simplify]: Simplify (- 0) into 0 10.247 * [backup-simplify]: Simplify (+ 0 0) into 0 10.249 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 10.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (log PI)) (* 0 (* -1 (log PI)))))))) into 0 10.251 * [backup-simplify]: Simplify 0 into 0 10.282 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 10.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.284 * [backup-simplify]: Simplify (- 0) into 0 10.284 * [backup-simplify]: Simplify (+ 0 0) into 0 10.287 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 10.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (log PI)) (* 0 (* -1 (log PI))))))))) into 0 10.290 * [backup-simplify]: Simplify 0 into 0 10.345 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 10.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.346 * [backup-simplify]: Simplify (- 0) into 0 10.346 * [backup-simplify]: Simplify (+ 0 0) into 0 10.347 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 10.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (log PI)) (* 0 (* -1 (log PI)))))))))) into 0 10.349 * [backup-simplify]: Simplify 0 into 0 10.350 * [backup-simplify]: Simplify (+ (* 1/2 (log PI)) (* (* -1/2 (log PI)) (/ 1 (/ 1 k)))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 10.351 * [backup-simplify]: Simplify (* (/ (- 1 (/ 1 (- k))) 2) (log PI)) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 10.351 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in (k) around 0 10.351 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in k 10.351 * [taylor]: Taking taylor expansion of 1/2 in k 10.351 * [backup-simplify]: Simplify 1/2 into 1/2 10.351 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in k 10.351 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 10.351 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.351 * [taylor]: Taking taylor expansion of k in k 10.351 * [backup-simplify]: Simplify 0 into 0 10.351 * [backup-simplify]: Simplify 1 into 1 10.351 * [backup-simplify]: Simplify (/ 1 1) into 1 10.351 * [taylor]: Taking taylor expansion of 1 in k 10.351 * [backup-simplify]: Simplify 1 into 1 10.351 * [taylor]: Taking taylor expansion of (log PI) in k 10.351 * [taylor]: Taking taylor expansion of PI in k 10.351 * [backup-simplify]: Simplify PI into PI 10.352 * [backup-simplify]: Simplify (log PI) into (log PI) 10.352 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in k 10.352 * [taylor]: Taking taylor expansion of 1/2 in k 10.352 * [backup-simplify]: Simplify 1/2 into 1/2 10.352 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in k 10.352 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 10.352 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.352 * [taylor]: Taking taylor expansion of k in k 10.352 * [backup-simplify]: Simplify 0 into 0 10.352 * [backup-simplify]: Simplify 1 into 1 10.352 * [backup-simplify]: Simplify (/ 1 1) into 1 10.352 * [taylor]: Taking taylor expansion of 1 in k 10.352 * [backup-simplify]: Simplify 1 into 1 10.352 * [taylor]: Taking taylor expansion of (log PI) in k 10.352 * [taylor]: Taking taylor expansion of PI in k 10.352 * [backup-simplify]: Simplify PI into PI 10.352 * [backup-simplify]: Simplify (log PI) into (log PI) 10.353 * [backup-simplify]: Simplify (+ 1 0) into 1 10.353 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 10.354 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 10.354 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 10.355 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.356 * [backup-simplify]: Simplify (+ 0 1) into 1 10.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 1 (log PI))) into (log PI) 10.359 * [backup-simplify]: Simplify (+ (* 1/2 (log PI)) (* 0 (log PI))) into (* 1/2 (log PI)) 10.360 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 10.362 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 10.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.362 * [backup-simplify]: Simplify (+ 0 0) into 0 10.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 (log PI)))) into 0 10.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (log PI)) (* 0 (log PI)))) into 0 10.364 * [backup-simplify]: Simplify 0 into 0 10.368 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 10.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.369 * [backup-simplify]: Simplify (+ 0 0) into 0 10.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log PI))))) into 0 10.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (log PI)) (* 0 (log PI))))) into 0 10.372 * [backup-simplify]: Simplify 0 into 0 10.383 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 10.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.384 * [backup-simplify]: Simplify (+ 0 0) into 0 10.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 10.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (log PI)) (* 0 (log PI)))))) into 0 10.387 * [backup-simplify]: Simplify 0 into 0 10.405 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 10.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.407 * [backup-simplify]: Simplify (+ 0 0) into 0 10.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 10.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (log PI)) (* 0 (log PI))))))) into 0 10.410 * [backup-simplify]: Simplify 0 into 0 10.442 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 10.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.451 * [backup-simplify]: Simplify (+ 0 0) into 0 10.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 10.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (log PI)) (* 0 (log PI)))))))) into 0 10.456 * [backup-simplify]: Simplify 0 into 0 10.506 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 10.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.508 * [backup-simplify]: Simplify (+ 0 0) into 0 10.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 10.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (log PI)) (* 0 (log PI))))))))) into 0 10.513 * [backup-simplify]: Simplify 0 into 0 10.515 * [backup-simplify]: Simplify (+ (* 1/2 (log PI)) (* (* 1/2 (log PI)) (/ 1 (/ 1 (- k))))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 10.515 * * * [progress]: simplifying candidates 10.515 * * * * [progress]: [ 1 / 233 ] simplifiying candidate # 10.515 * * * * [progress]: [ 2 / 233 ] simplifiying candidate # 10.516 * * * * [progress]: [ 3 / 233 ] simplifiying candidate # 10.516 * * * * [progress]: [ 4 / 233 ] simplifiying candidate # 10.516 * * * * [progress]: [ 5 / 233 ] simplifiying candidate # 10.516 * * * * [progress]: [ 6 / 233 ] simplifiying candidate # 10.516 * * * * [progress]: [ 7 / 233 ] simplifiying candidate # 10.516 * * * * [progress]: [ 8 / 233 ] simplifiying candidate # 10.516 * * * * [progress]: [ 9 / 233 ] simplifiying candidate # 10.516 * * * * [progress]: [ 10 / 233 ] simplifiying candidate # 10.516 * * * * [progress]: [ 11 / 233 ] simplifiying candidate # 10.516 * * * * [progress]: [ 12 / 233 ] simplifiying candidate # 10.516 * * * * [progress]: [ 13 / 233 ] simplifiying candidate # 10.516 * * * * [progress]: [ 14 / 233 ] simplifiying candidate # 10.517 * * * * [progress]: [ 15 / 233 ] simplifiying candidate # 10.517 * * * * [progress]: [ 16 / 233 ] simplifiying candidate # 10.517 * * * * [progress]: [ 17 / 233 ] simplifiying candidate # 10.517 * * * * [progress]: [ 18 / 233 ] simplifiying candidate # 10.517 * * * * [progress]: [ 19 / 233 ] simplifiying candidate # 10.517 * * * * [progress]: [ 20 / 233 ] simplifiying candidate # 10.517 * * * * [progress]: [ 21 / 233 ] simplifiying candidate # 10.517 * * * * [progress]: [ 22 / 233 ] simplifiying candidate # 10.517 * * * * [progress]: [ 23 / 233 ] simplifiying candidate # 10.517 * * * * [progress]: [ 24 / 233 ] 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10.518 * * * * [progress]: [ 39 / 233 ] simplifiying candidate # 10.518 * * * * [progress]: [ 40 / 233 ] simplifiying candidate # 10.519 * * * * [progress]: [ 41 / 233 ] simplifiying candidate # 10.519 * * * * [progress]: [ 42 / 233 ] simplifiying candidate # 10.519 * * * * [progress]: [ 43 / 233 ] simplifiying candidate # 10.519 * * * * [progress]: [ 44 / 233 ] simplifiying candidate # 10.519 * * * * [progress]: [ 45 / 233 ] simplifiying candidate # 10.519 * * * * [progress]: [ 46 / 233 ] simplifiying candidate # 10.519 * * * * [progress]: [ 47 / 233 ] simplifiying candidate # 10.519 * * * * [progress]: [ 48 / 233 ] simplifiying candidate # 10.519 * * * * [progress]: [ 49 / 233 ] simplifiying candidate # 10.519 * * * * [progress]: [ 50 / 233 ] simplifiying candidate # 10.519 * * * * [progress]: [ 51 / 233 ] simplifiying candidate # 10.519 * * * * [progress]: [ 52 / 233 ] simplifiying candidate # 10.519 * * * * [progress]: [ 53 / 233 ] simplifiying candidate # 10.520 * * * * [progress]: [ 54 / 233 ] simplifiying candidate # 10.520 * * * * [progress]: [ 55 / 233 ] simplifiying candidate # 10.520 * * * * [progress]: [ 56 / 233 ] simplifiying candidate # 10.520 * * * * [progress]: [ 57 / 233 ] simplifiying candidate # 10.520 * * * * [progress]: [ 58 / 233 ] simplifiying candidate # 10.520 * * * * [progress]: [ 59 / 233 ] simplifiying candidate # 10.520 * * * * [progress]: [ 60 / 233 ] simplifiying candidate # 10.520 * * * * [progress]: [ 61 / 233 ] simplifiying candidate # 10.520 * * * * [progress]: [ 62 / 233 ] simplifiying candidate # 10.520 * * * * [progress]: [ 63 / 233 ] simplifiying candidate # 10.520 * * * * [progress]: [ 64 / 233 ] simplifiying candidate # 10.521 * * * * [progress]: [ 65 / 233 ] simplifiying candidate # 10.521 * * * * [progress]: [ 66 / 233 ] simplifiying candidate # 10.521 * * * * [progress]: [ 67 / 233 ] simplifiying candidate # 10.521 * * * * [progress]: [ 68 / 233 ] simplifiying candidate # 10.521 * * * * [progress]: [ 69 / 233 ] 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10.522 * * * * [progress]: [ 85 / 233 ] simplifiying candidate # 10.522 * * * * [progress]: [ 86 / 233 ] simplifiying candidate # 10.522 * * * * [progress]: [ 87 / 233 ] simplifiying candidate # 10.522 * * * * [progress]: [ 88 / 233 ] simplifiying candidate # 10.523 * * * * [progress]: [ 89 / 233 ] simplifiying candidate # 10.523 * * * * [progress]: [ 90 / 233 ] simplifiying candidate # 10.523 * * * * [progress]: [ 91 / 233 ] simplifiying candidate # 10.523 * * * * [progress]: [ 92 / 233 ] simplifiying candidate # 10.523 * * * * [progress]: [ 93 / 233 ] simplifiying candidate # 10.523 * * * * [progress]: [ 94 / 233 ] simplifiying candidate # 10.523 * * * * [progress]: [ 95 / 233 ] simplifiying candidate # 10.523 * * * * [progress]: [ 96 / 233 ] simplifiying candidate # 10.523 * * * * [progress]: [ 97 / 233 ] simplifiying candidate # 10.523 * * * * [progress]: [ 98 / 233 ] simplifiying candidate # 10.524 * * * * [progress]: [ 99 / 233 ] simplifiying candidate # 10.524 * * * * [progress]: [ 100 / 233 ] simplifiying candidate # 10.524 * * * * [progress]: [ 101 / 233 ] simplifiying candidate # 10.524 * * * * [progress]: [ 102 / 233 ] simplifiying candidate # 10.524 * * * * [progress]: [ 103 / 233 ] simplifiying candidate # 10.524 * * * * [progress]: [ 104 / 233 ] simplifiying candidate # 10.524 * * * * [progress]: [ 105 / 233 ] simplifiying candidate # 10.524 * * * * [progress]: [ 106 / 233 ] simplifiying candidate # 10.524 * * * * [progress]: [ 107 / 233 ] simplifiying candidate # 10.524 * * * * [progress]: [ 108 / 233 ] simplifiying candidate # 10.524 * * * * [progress]: [ 109 / 233 ] simplifiying candidate # 10.525 * * * * [progress]: [ 110 / 233 ] simplifiying candidate # 10.525 * * * * [progress]: [ 111 / 233 ] simplifiying candidate # 10.525 * * * * [progress]: [ 112 / 233 ] simplifiying candidate # 10.525 * * * * [progress]: [ 113 / 233 ] simplifiying candidate #real (real->posit16 (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))))> 10.525 * * * * [progress]: [ 114 / 233 ] simplifiying candidate # 10.525 * * * * [progress]: [ 115 / 233 ] simplifiying candidate # 10.525 * * * * [progress]: [ 116 / 233 ] simplifiying candidate # 10.525 * * * * [progress]: [ 117 / 233 ] simplifiying candidate # 10.525 * * * * [progress]: [ 118 / 233 ] simplifiying candidate # 10.525 * * * * [progress]: [ 119 / 233 ] simplifiying candidate # 10.525 * * * * [progress]: [ 120 / 233 ] simplifiying candidate # 10.525 * * * * [progress]: [ 121 / 233 ] simplifiying candidate # 10.525 * * * * [progress]: [ 122 / 233 ] simplifiying candidate # 10.525 * * * * [progress]: [ 123 / 233 ] simplifiying candidate # 10.526 * * * * [progress]: [ 124 / 233 ] simplifiying candidate # 10.526 * * * * [progress]: [ 125 / 233 ] simplifiying candidate # 10.526 * * * * [progress]: [ 126 / 233 ] simplifiying candidate # 10.526 * * * * [progress]: [ 127 / 233 ] simplifiying candidate # 10.526 * * * * [progress]: [ 128 / 233 ] simplifiying candidate # 10.526 * * * * [progress]: [ 129 / 233 ] simplifiying candidate # 10.526 * * * * [progress]: [ 130 / 233 ] simplifiying candidate # 10.526 * * * * [progress]: [ 131 / 233 ] simplifiying candidate # 10.526 * * * * [progress]: [ 132 / 233 ] simplifiying candidate # 10.526 * * * * [progress]: [ 133 / 233 ] simplifiying candidate # 10.526 * * * * [progress]: [ 134 / 233 ] simplifiying candidate # 10.526 * * * * [progress]: [ 135 / 233 ] simplifiying candidate # 10.527 * * * * [progress]: [ 136 / 233 ] simplifiying candidate # 10.527 * * * * [progress]: [ 137 / 233 ] simplifiying candidate # 10.527 * * * * [progress]: [ 138 / 233 ] simplifiying candidate # 10.527 * * * * [progress]: [ 139 / 233 ] simplifiying candidate # 10.527 * * * * [progress]: [ 140 / 233 ] simplifiying candidate # 10.527 * * * * [progress]: [ 141 / 233 ] simplifiying candidate # 10.527 * * * * [progress]: [ 142 / 233 ] simplifiying candidate # 10.527 * * * * [progress]: [ 143 / 233 ] simplifiying candidate # 10.527 * * * * [progress]: [ 144 / 233 ] simplifiying candidate # 10.527 * * * * [progress]: [ 145 / 233 ] simplifiying candidate # 10.527 * * * * [progress]: [ 146 / 233 ] simplifiying candidate # 10.527 * * * * [progress]: [ 147 / 233 ] simplifiying candidate # 10.528 * * * * [progress]: [ 148 / 233 ] simplifiying candidate # 10.528 * * * * [progress]: [ 149 / 233 ] simplifiying candidate # 10.528 * * * * [progress]: [ 150 / 233 ] simplifiying candidate # 10.528 * * * * [progress]: [ 151 / 233 ] simplifiying candidate # 10.528 * * * * [progress]: [ 152 / 233 ] simplifiying candidate # 10.528 * * * * [progress]: [ 153 / 233 ] simplifiying candidate # 10.528 * * * * [progress]: [ 154 / 233 ] simplifiying candidate # 10.528 * * * * [progress]: [ 155 / 233 ] simplifiying candidate # 10.528 * * * * [progress]: [ 156 / 233 ] simplifiying candidate # 10.528 * * * * [progress]: [ 157 / 233 ] simplifiying candidate # 10.528 * * * * [progress]: [ 158 / 233 ] simplifiying candidate # 10.528 * * * * [progress]: [ 159 / 233 ] simplifiying candidate # 10.529 * * * * [progress]: [ 160 / 233 ] simplifiying candidate # 10.529 * * * * [progress]: [ 161 / 233 ] simplifiying candidate # 10.529 * * * * [progress]: [ 162 / 233 ] simplifiying candidate # 10.529 * * * * [progress]: [ 163 / 233 ] simplifiying candidate # 10.529 * * * * [progress]: [ 164 / 233 ] simplifiying candidate # 10.529 * * * * [progress]: [ 165 / 233 ] simplifiying candidate # 10.529 * * * * [progress]: [ 166 / 233 ] simplifiying candidate # 10.529 * * * * [progress]: [ 167 / 233 ] simplifiying candidate # 10.529 * * * * [progress]: [ 168 / 233 ] simplifiying candidate # 10.529 * * * * [progress]: [ 169 / 233 ] simplifiying candidate # 10.529 * * * * [progress]: [ 170 / 233 ] simplifiying candidate # 10.529 * * * * [progress]: [ 171 / 233 ] simplifiying candidate # 10.529 * * * * [progress]: [ 172 / 233 ] simplifiying candidate #real (real->posit16 (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))))> 10.530 * * * * [progress]: [ 173 / 233 ] simplifiying candidate # 10.530 * * * * [progress]: [ 174 / 233 ] simplifiying candidate # 10.530 * * * * [progress]: [ 175 / 233 ] simplifiying candidate # 10.530 * * * * [progress]: [ 176 / 233 ] simplifiying candidate # 10.530 * * * * [progress]: [ 177 / 233 ] simplifiying candidate # 10.530 * * * * [progress]: [ 178 / 233 ] simplifiying candidate # 10.530 * * * * [progress]: [ 179 / 233 ] simplifiying candidate # 10.530 * * * * [progress]: [ 180 / 233 ] simplifiying candidate # 10.530 * * * * [progress]: [ 181 / 233 ] simplifiying candidate # 10.530 * * * * [progress]: [ 182 / 233 ] simplifiying candidate # 10.530 * * * * [progress]: [ 183 / 233 ] simplifiying candidate # 10.530 * * * * [progress]: [ 184 / 233 ] simplifiying candidate # 10.530 * * * * [progress]: [ 185 / 233 ] simplifiying candidate # 10.531 * * * * [progress]: [ 186 / 233 ] simplifiying candidate # 10.531 * * * * [progress]: [ 187 / 233 ] simplifiying candidate # 10.531 * * * * [progress]: [ 188 / 233 ] simplifiying candidate # 10.531 * * * * [progress]: [ 189 / 233 ] simplifiying candidate # 10.531 * * * * [progress]: [ 190 / 233 ] simplifiying candidate # 10.531 * * * * [progress]: [ 191 / 233 ] simplifiying candidate # 10.531 * * * * [progress]: [ 192 / 233 ] simplifiying candidate # 10.531 * * * * [progress]: [ 193 / 233 ] simplifiying candidate # 10.531 * * * * [progress]: [ 194 / 233 ] simplifiying candidate # 10.531 * * * * [progress]: [ 195 / 233 ] simplifiying candidate # 10.531 * * * * [progress]: [ 196 / 233 ] simplifiying candidate # 10.531 * * * * [progress]: [ 197 / 233 ] simplifiying candidate # 10.531 * * * * [progress]: [ 198 / 233 ] simplifiying candidate # 10.532 * * * * [progress]: [ 199 / 233 ] simplifiying candidate # 10.532 * * * * [progress]: [ 200 / 233 ] simplifiying candidate # 10.532 * * * * [progress]: [ 201 / 233 ] simplifiying candidate # 10.532 * * * * [progress]: [ 202 / 233 ] simplifiying candidate # 10.532 * * * * [progress]: [ 203 / 233 ] simplifiying candidate # 10.532 * * * * [progress]: [ 204 / 233 ] simplifiying candidate # 10.532 * * * * [progress]: [ 205 / 233 ] simplifiying candidate # 10.532 * * * * [progress]: [ 206 / 233 ] simplifiying candidate # 10.532 * * * * [progress]: [ 207 / 233 ] simplifiying candidate # 10.532 * * * * [progress]: [ 208 / 233 ] simplifiying candidate # 10.532 * * * * [progress]: [ 209 / 233 ] simplifiying candidate # 10.532 * * * * [progress]: [ 210 / 233 ] simplifiying candidate # 10.532 * * * * [progress]: [ 211 / 233 ] simplifiying candidate # 10.533 * * * * [progress]: [ 212 / 233 ] simplifiying candidate # 10.533 * * * * [progress]: [ 213 / 233 ] simplifiying candidate # 10.533 * * * * [progress]: [ 214 / 233 ] simplifiying candidate # 10.533 * * * * [progress]: [ 215 / 233 ] simplifiying candidate # 10.533 * * * * [progress]: [ 216 / 233 ] simplifiying candidate # 10.533 * * * * [progress]: [ 217 / 233 ] simplifiying candidate # 10.533 * * * * [progress]: [ 218 / 233 ] simplifiying candidate # 10.533 * * * * [progress]: [ 219 / 233 ] simplifiying candidate # 10.533 * * * * [progress]: [ 220 / 233 ] simplifiying candidate #real (real->posit16 (* (/ (- 1 k) 2) (log PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))> 10.533 * * * * [progress]: [ 221 / 233 ] simplifiying candidate # 10.533 * * * * [progress]: [ 222 / 233 ] simplifiying candidate # 10.534 * * * * [progress]: [ 223 / 233 ] simplifiying candidate # 10.534 * * * * [progress]: [ 224 / 233 ] simplifiying candidate # 10.534 * * * * [progress]: [ 225 / 233 ] simplifiying candidate # 10.534 * * * * [progress]: [ 226 / 233 ] simplifiying candidate # 10.534 * * * * [progress]: [ 227 / 233 ] simplifiying candidate # 10.534 * * * * [progress]: [ 228 / 233 ] simplifiying candidate # 10.534 * * * * [progress]: [ 229 / 233 ] simplifiying candidate # 10.534 * * * * [progress]: [ 230 / 233 ] simplifiying candidate # 10.534 * * * * [progress]: [ 231 / 233 ] simplifiying candidate # 10.535 * * * * [progress]: [ 232 / 233 ] simplifiying candidate # 10.535 * * * * [progress]: [ 233 / 233 ] simplifiying candidate # 10.538 * [simplify]: Simplifying (* (+ (log n) (log 2)) (/ (- 1 k) 2)), (* (log (* n 2)) (/ (- 1 k) 2)), (* (log (* n 2)) (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (pow (* n 2) (/ 1 2)), (pow (* n 2) (/ k 2)), (pow (* n 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* n 2) (sqrt (/ (- 1 k) 2))), (pow (* n 2) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))), (pow (* n 2) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* n 2) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)), (pow (* n 2) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* n 2) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* n 2) (/ (sqrt (- 1 k)) 1)), (pow (* n 2) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* n 2) (/ 1 (sqrt 2))), (pow (* n 2) (/ 1 1)), (pow (* n 2) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* n 2) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))), (pow (* n 2) (/ (+ (sqrt 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cost 169 inf + 295765 11.024 * * [simplify]: Extracting #8: cost 138 inf + 325876 11.086 * * [simplify]: Extracting #9: cost 107 inf + 346356 11.178 * * [simplify]: Extracting #10: cost 82 inf + 361854 11.277 * * [simplify]: Extracting #11: cost 67 inf + 372970 11.355 * * [simplify]: Extracting #12: cost 44 inf + 390317 11.432 * * [simplify]: Extracting #13: cost 26 inf + 409027 11.546 * * [simplify]: Extracting #14: cost 14 inf + 424577 11.641 * * [simplify]: Extracting #15: cost 4 inf + 439187 11.766 * * [simplify]: Extracting #16: cost 0 inf + 445687 11.896 * [simplify]: Simplified to (/ (* (log (* n 2)) (- 1 k)) 2), (/ (* (log (* n 2)) (- 1 k)) 2), (/ (* (log (* n 2)) (- 1 k)) 2), (/ (- 1 k) 2), (/ (- 1 k) 2), (pow (* n 2) 1/2), (pow (* n 2) (/ k 2)), (pow (* n 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* n 2) (sqrt (/ (- 1 k) 2))), (pow (* n 2) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))), (pow (* n 2) (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k))))), 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(* PI n) (* k (log PI)))) (* +nan.0 (* (* (sqrt 2) (* n n)) (* PI PI))))))))), (- (- (* (/ (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* 1/2 (* (- 1 k) (log PI))))) (* k k)) +nan.0) (- (/ (* +nan.0 (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* 1/2 (* (- 1 k) (log PI)))))) k) (/ (* +nan.0 (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* 1/2 (* (- 1 k) (log PI)))))) (* k (* k k)))))), (- (- (* (/ (exp (+ (* (* 1/2 (- 1 k)) (- (log -2) (log (/ -1 n)))) (* 1/2 (* (- 1 k) (log PI))))) k) +nan.0) (- (* +nan.0 (/ (exp (+ (* (* 1/2 (- 1 k)) (- (log -2) (log (/ -1 n)))) (* 1/2 (* (- 1 k) (log PI))))) (* k k))) (* +nan.0 (exp (+ (* (* 1/2 (- 1 k)) (- (log -2) (log (/ -1 n)))) (* 1/2 (* (- 1 k) (log PI))))))))), (- (- (* (* (exp (* (log (* n 2)) 1/2)) +nan.0) (* k (log n))) (- (* +nan.0 (* (* (exp (* (log (* n 2)) 1/2)) (* k k)) (* (log 2) (log 2)))) (- (* (* (* (log 2) (exp (* (log (* n 2)) 1/2))) (* (log n) (* k k))) +nan.0) (- (* +nan.0 (* k (exp (* (log (* n 2)) 1/2)))) (- (* (* (exp (* (log (* n 2)) 1/2)) +nan.0) (* (* k k) (* (log n) (log n)))) (- (* (* (exp (* (log (* n 2)) 1/2)) +nan.0) (* (log n) (* k k))) (- (* (* +nan.0 (log 2)) (* (exp (* (log (* n 2)) 1/2)) (* k k))) (- (* (exp (* (log (* n 2)) 1/2)) +nan.0) (- (* (* (* k (exp (* (log (* n 2)) 1/2))) (log 2)) +nan.0) (* (* (exp (* (log (* n 2)) 1/2)) (* k k)) +nan.0))))))))))), (- (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))) (* k k))) (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))) k) +nan.0) (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))))) (* k (* k k)))))), (- (- (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log -2) (log (/ -1 n)))))) (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log -2) (log (/ -1 n))))) k) +nan.0) (* (/ (exp (* (* 1/2 (- 1 k)) (- (log -2) (log (/ -1 n))))) (* k k)) +nan.0)))), (- (* 1/2 (log PI)) (* (* 1/2 (log PI)) k)), (- (* 1/2 (log PI)) (* (* 1/2 (log PI)) k)), (- (* 1/2 (log PI)) (* (* 1/2 (log PI)) k)) 11.897 * * * * [progress]: [ 1 / 233 ] simplifiying candidate # 11.897 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (exp (/ (* (log (* n 2)) (- 1 k)) 2)) (sqrt k)))) 11.897 * * * * [progress]: [ 2 / 233 ] simplifiying candidate # 11.897 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (exp (/ (* (log (* n 2)) (- 1 k)) 2)) (sqrt k)))) 11.898 * * * * [progress]: [ 3 / 233 ] simplifiying candidate # 11.898 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (exp (/ (* (log (* n 2)) (- 1 k)) 2)) (sqrt k)))) 11.898 * * * * [progress]: [ 4 / 233 ] simplifiying candidate # 11.898 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.898 * * * * [progress]: [ 5 / 233 ] simplifiying candidate # 11.898 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.898 * * * * [progress]: [ 6 / 233 ] simplifiying candidate # 11.898 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) 11.898 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) 11.899 * * * * [progress]: [ 7 / 233 ] simplifiying candidate # 11.899 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))) 11.899 * * * * [progress]: [ 8 / 233 ] simplifiying candidate # 11.899 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))) 11.899 * * * * [progress]: [ 9 / 233 ] simplifiying candidate # 11.899 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k)))) 11.899 * * * * [progress]: [ 10 / 233 ] simplifiying candidate # 11.899 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k))))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k)))) 11.900 * * * * [progress]: [ 11 / 233 ] simplifiying candidate # 11.900 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)) (sqrt k)))) 11.900 * * * * [progress]: [ 12 / 233 ] simplifiying candidate # 11.900 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k)))) 11.900 * * * * [progress]: [ 13 / 233 ] simplifiying candidate # 11.900 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k)))) 11.900 * * * * [progress]: [ 14 / 233 ] simplifiying candidate # 11.900 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)) (sqrt k)))) 11.901 * * * * [progress]: [ 15 / 233 ] simplifiying candidate # 11.901 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (/ (/ 1 (cbrt 2)) (cbrt 2))) (/ (- 1 k) (cbrt 2))) (sqrt k)))) 11.901 * * * * [progress]: [ 16 / 233 ] simplifiying candidate # 11.901 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))) 11.901 * * * * [progress]: [ 17 / 233 ] simplifiying candidate # 11.901 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.901 * * * * [progress]: [ 18 / 233 ] simplifiying candidate # 11.901 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt k)))) 11.902 * * * * [progress]: [ 19 / 233 ] simplifiying candidate # 11.902 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt k)))) 11.902 * * * * [progress]: [ 20 / 233 ] simplifiying candidate # 11.902 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k)))) 11.902 * * * * [progress]: [ 21 / 233 ] simplifiying candidate # 11.902 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k)))) 11.902 * * * * [progress]: [ 22 / 233 ] simplifiying candidate # 11.902 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))) 11.903 * * * * [progress]: [ 23 / 233 ] simplifiying candidate # 11.903 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k)))) 11.903 * * * * [progress]: [ 24 / 233 ] simplifiying candidate # 11.903 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (/ (/ 1 (cbrt 2)) (cbrt 2))) (/ (- 1 k) (cbrt 2))) (sqrt k)))) 11.903 * * * * [progress]: [ 25 / 233 ] simplifiying candidate # 11.903 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))) 11.903 * * * * [progress]: [ 26 / 233 ] simplifiying candidate # 11.904 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.904 * * * * [progress]: [ 27 / 233 ] simplifiying candidate # 11.904 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.904 * * * * [progress]: [ 28 / 233 ] simplifiying candidate # 11.904 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (pow (* n 2) (- 1 k)) (/ 1 2)) (sqrt k)))) 11.904 * * * * [progress]: [ 29 / 233 ] simplifiying candidate # 11.904 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt k)))) 11.904 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt k)))) 11.904 * * * * [progress]: [ 30 / 233 ] simplifiying candidate # 11.905 * * * * [progress]: [ 31 / 233 ] simplifiying candidate # 11.905 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (exp (/ (* (log (* n 2)) (- 1 k)) 2)) (sqrt k)))) 11.905 * * * * [progress]: [ 32 / 233 ] simplifiying candidate # 11.905 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (log (exp (pow (* n 2) (/ (- 1 k) 2)))) (sqrt k)))) 11.905 * * * * [progress]: [ 33 / 233 ] simplifiying candidate # 11.905 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt k)))) 11.905 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt k)))) 11.905 * * * * [progress]: [ 34 / 233 ] simplifiying candidate # 11.906 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (cbrt (* (pow (* n 2) (/ (- 1 k) 2)) (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))))) (sqrt k)))) 11.906 * * * * [progress]: [ 35 / 233 ] simplifiying candidate # 11.906 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt k)))) 11.906 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt k)))) 11.906 * * * * [progress]: [ 36 / 233 ] simplifiying candidate # 11.906 * * * * [progress]: [ 37 / 233 ] simplifiying candidate # 11.906 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (pow (* n 2) (/ (- 1 k) 4)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)))) 11.906 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (pow (* n 2) (/ (- 1 k) 4))) (sqrt k)))) 11.907 * * * * [progress]: [ 38 / 233 ] simplifiying candidate #real (real->posit16 (pow (* n 2) (/ (- 1 k) 2)))) (sqrt k))))> 11.907 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (posit16->real (real->posit16 (pow (* n 2) (/ (- 1 k) 2)))) (sqrt k)))) 11.907 * * * * [progress]: [ 39 / 233 ] simplifiying candidate # 11.907 * [simplify]: Simplified (2 1) to (λ (k n) (pow (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) 1)) 11.907 * * * * [progress]: [ 40 / 233 ] simplifiying candidate # 11.907 * * * * [progress]: [ 41 / 233 ] simplifiying candidate # 11.907 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log PI)) (/ (* (log (* n 2)) (- 1 k)) 2)) (log (sqrt k))))) 11.907 * * * * [progress]: [ 42 / 233 ] simplifiying candidate # 11.907 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log PI)) (/ (* (log (* n 2)) (- 1 k)) 2)) (log (sqrt k))))) 11.908 * * * * [progress]: [ 43 / 233 ] simplifiying candidate # 11.908 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log PI)) (/ (* (log (* n 2)) (- 1 k)) 2)) (log (sqrt k))))) 11.908 * * * * [progress]: [ 44 / 233 ] simplifiying candidate # 11.908 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log PI)) (/ (* (log (* n 2)) (- 1 k)) 2)) (log (sqrt k))))) 11.908 * * * * [progress]: [ 45 / 233 ] simplifiying candidate # 11.908 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 2) (log PI)) (/ (* (log (* n 2)) (- 1 k)) 2)) (log (sqrt k))))) 11.908 * * * * [progress]: [ 46 / 233 ] simplifiying candidate # 11.908 * [simplify]: Simplified (2 1) to (λ (k n) (exp (log (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.908 * * * * [progress]: [ 47 / 233 ] simplifiying candidate # 11.908 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.909 * * * * [progress]: [ 48 / 233 ] simplifiying candidate # 11.909 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (* (/ (- 1 k) 2) (log PI)))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (/ (* (pow (* n 2) (/ (- 1 k) 2)) (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2)))) k) (sqrt k))))) 11.909 * * * * [progress]: [ 49 / 233 ] simplifiying candidate # 11.909 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (* (/ (- 1 k) 2) (log PI)))) (exp (* (/ (- 1 k) 2) (log PI))))))) 11.909 * * * * [progress]: [ 50 / 233 ] simplifiying candidate # 11.909 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) (cbrt (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.910 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) (cbrt (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.910 * * * * [progress]: [ 51 / 233 ] simplifiying candidate # 11.910 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))))) 11.910 * * * * [progress]: [ 52 / 233 ] simplifiying candidate # 11.910 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (sqrt (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.910 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (sqrt (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.910 * * * * [progress]: [ 53 / 233 ] simplifiying candidate # 11.910 * * * * [progress]: [ 54 / 233 ] simplifiying candidate # 11.911 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.911 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.911 * * * * [progress]: [ 55 / 233 ] simplifiying candidate # 11.911 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 11.911 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))))) 11.911 * * * * [progress]: [ 56 / 233 ] simplifiying candidate # 11.911 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 11.912 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))))) 11.912 * * * * [progress]: [ 57 / 233 ] simplifiying candidate # 11.912 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))) 11.912 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (* (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))))) 11.912 * * * * [progress]: [ 58 / 233 ] simplifiying candidate # 11.912 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))) 11.913 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (* (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))))) 11.913 * * * * [progress]: [ 59 / 233 ] simplifiying candidate # 11.913 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.913 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.913 * * * * [progress]: [ 60 / 233 ] simplifiying candidate # 11.913 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 11.914 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))))) 11.914 * * * * [progress]: [ 61 / 233 ] simplifiying candidate # 11.914 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 11.914 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))))) 11.914 * * * * [progress]: [ 62 / 233 ] simplifiying candidate # 11.914 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))) 11.914 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (* (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))))) 11.915 * * * * [progress]: [ 63 / 233 ] simplifiying candidate # 11.915 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))) 11.915 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (* (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))))) 11.915 * * * * [progress]: [ 64 / 233 ] simplifiying candidate # 11.915 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.915 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.916 * * * * [progress]: [ 65 / 233 ] simplifiying candidate # 11.916 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 11.916 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))))) 11.916 * * * * [progress]: [ 66 / 233 ] simplifiying candidate # 11.916 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 11.916 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))))) 11.917 * * * * [progress]: [ 67 / 233 ] simplifiying candidate # 11.917 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (exp (* (/ (- 1 k) 2) (log PI))))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))) 11.917 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (* (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (exp (* (/ (- 1 k) 2) (log PI))))))) 11.917 * * * * [progress]: [ 68 / 233 ] simplifiying candidate # 11.917 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (exp (* (/ (- 1 k) 2) (log PI))))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))) 11.917 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))) (* (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (sqrt (exp (* (/ (- 1 k) 2) (log PI))))))) 11.917 * * * * [progress]: [ 69 / 233 ] simplifiying candidate # 11.918 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (exp (* (/ (- 1 k) 2) (log PI))) (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 11.918 * * * * [progress]: [ 70 / 233 ] simplifiying candidate # 11.918 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (exp (* (/ (- 1 k) 2) (log PI)))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 11.918 * * * * [progress]: [ 71 / 233 ] simplifiying candidate # 11.918 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (exp (* (/ (- 1 k) 2) (log PI))) (pow n (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (/ (- 1 k) 2)) (cbrt (sqrt k))))) 11.918 * * * * [progress]: [ 72 / 233 ] simplifiying candidate # 11.918 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (exp (* (/ (- 1 k) 2) (log PI))) (pow n (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (cbrt k))))) 11.918 * * * * [progress]: [ 73 / 233 ] simplifiying candidate # 11.919 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))))) 11.919 * * * * [progress]: [ 74 / 233 ] simplifiying candidate # 11.919 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (pow n (/ (- 1 k) 2))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))) 11.919 * * * * [progress]: [ 75 / 233 ] simplifiying candidate # 11.919 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))))) 11.919 * * * * [progress]: [ 76 / 233 ] simplifiying candidate # 11.919 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (pow n (/ (- 1 k) 2))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)))) 11.919 * * * * [progress]: [ 77 / 233 ] simplifiying candidate # 11.919 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 11.920 * * * * [progress]: [ 78 / 233 ] simplifiying candidate # 11.920 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (fabs (cbrt k))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 11.920 * * * * [progress]: [ 79 / 233 ] simplifiying candidate # 11.920 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 11.920 * * * * [progress]: [ 80 / 233 ] simplifiying candidate # 11.920 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k)))) 11.920 * * * * [progress]: [ 81 / 233 ] simplifiying candidate # 11.921 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 11.921 * * * * [progress]: [ 82 / 233 ] simplifiying candidate # 11.921 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k)))) 11.921 * * * * [progress]: [ 83 / 233 ] simplifiying candidate # 11.921 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 11.921 * * * * [progress]: [ 84 / 233 ] simplifiying candidate # 11.921 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (exp (* (/ (- 1 k) 2) (log PI))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 11.922 * * * * [progress]: [ 85 / 233 ] simplifiying candidate # 11.922 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (exp (* (/ (- 1 k) 2) (log PI))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 11.922 * * * * [progress]: [ 86 / 233 ] simplifiying candidate # 11.922 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k)))) 11.922 * * * * [progress]: [ 87 / 233 ] simplifiying candidate # 11.922 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (exp (* (/ (- 1 k) 2) (log PI))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 11.922 * * * * [progress]: [ 88 / 233 ] simplifiying candidate # 11.922 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k)))) 11.922 * * * * [progress]: [ 89 / 233 ] simplifiying candidate # 11.923 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 11.923 * * * * [progress]: [ 90 / 233 ] simplifiying candidate # 11.923 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (fabs (cbrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 11.923 * * * * [progress]: [ 91 / 233 ] simplifiying candidate # 11.923 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 11.923 * * * * [progress]: [ 92 / 233 ] simplifiying candidate # 11.923 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) 1) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.923 * * * * [progress]: [ 93 / 233 ] simplifiying candidate # 11.923 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 11.924 * * * * [progress]: [ 94 / 233 ] simplifiying candidate # 11.924 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.924 * * * * [progress]: [ 95 / 233 ] simplifiying candidate # 11.924 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (exp (* (/ (- 1 k) 2) (log PI))) (pow (* n 2) (/ (/ (- 1 k) 2) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) 11.924 * * * * [progress]: [ 96 / 233 ] simplifiying candidate # 11.924 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (exp (* (/ (- 1 k) 2) (log PI))) (pow (* n 2) (/ (/ (- 1 k) 2) 2))) (fabs (cbrt k))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))))) 11.924 * * * * [progress]: [ 97 / 233 ] simplifiying candidate # 11.924 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (exp (* (/ (- 1 k) 2) (log PI))) (pow (* n 2) (/ (/ (- 1 k) 2) 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 11.925 * * * * [progress]: [ 98 / 233 ] simplifiying candidate # 11.925 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (pow (* n 2) (/ (/ (- 1 k) 2) 2))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 11.925 * * * * [progress]: [ 99 / 233 ] simplifiying candidate # 11.925 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (exp (* (/ (- 1 k) 2) (log PI))) (pow (* n 2) (/ (/ (- 1 k) 2) 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 11.925 * * * * [progress]: [ 100 / 233 ] simplifiying candidate # 11.925 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (pow (* n 2) (/ (/ (- 1 k) 2) 2))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 11.925 * * * * [progress]: [ 101 / 233 ] simplifiying candidate # 11.925 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.926 * * * * [progress]: [ 102 / 233 ] simplifiying candidate # 11.926 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (pow (* n 2) (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 11.926 * * * * [progress]: [ 103 / 233 ] simplifiying candidate # 11.926 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log (* (cbrt PI) (cbrt PI))))) (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (exp (* (log (cbrt PI)) (/ (- 1 k) 2)))))) 11.926 * * * * [progress]: [ 104 / 233 ] simplifiying candidate # 11.926 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))))) 11.926 * * * * [progress]: [ 105 / 233 ] simplifiying candidate # 11.926 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log 1))) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 11.926 * * * * [progress]: [ 106 / 233 ] simplifiying candidate # 11.927 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (log (* (cbrt PI) (cbrt PI))) (/ (- 1 k) 2))) (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (exp (* (log (cbrt PI)) (/ (- 1 k) 2)))))) 11.927 * * * * [progress]: [ 107 / 233 ] simplifiying candidate # 11.927 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (exp (* (/ (- 1 k) 2) (log (sqrt PI))))))) 11.927 * * * * [progress]: [ 108 / 233 ] simplifiying candidate # 11.927 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (log 1) (/ (- 1 k) 2))) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 11.927 * * * * [progress]: [ 109 / 233 ] simplifiying candidate # 11.927 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (exp (* (/ (- 1 k) 2) (log PI)))) (cbrt (exp (* (/ (- 1 k) 2) (log PI))))) (/ (* (cbrt (exp (* (/ (- 1 k) 2) (log PI)))) (pow (* n 2) (/ (- 1 k) 2))) (sqrt k)))) 11.927 * * * * [progress]: [ 110 / 233 ] simplifiying candidate # 11.928 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (pow (* n 2) (/ (- 1 k) 2))) (sqrt k)))) 11.928 * * * * [progress]: [ 111 / 233 ] simplifiying candidate # 11.928 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 11.928 * * * * [progress]: [ 112 / 233 ] simplifiying candidate # 11.928 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (exp (* (/ (- 1 k) 2) (log PI))) (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))) 11.928 * * * * [progress]: [ 113 / 233 ] simplifiying candidate #real (real->posit16 (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))))> 11.928 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.928 * * * * [progress]: [ 114 / 233 ] simplifiying candidate # 11.928 * * * * [progress]: [ 115 / 233 ] simplifiying candidate # 11.928 * * * * [progress]: [ 116 / 233 ] simplifiying candidate # 11.929 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k)))))) 11.929 * * * * [progress]: [ 117 / 233 ] simplifiying candidate # 11.929 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k)))))) 11.929 * * * * [progress]: [ 118 / 233 ] simplifiying candidate # 11.929 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k)))))) 11.929 * * * * [progress]: [ 119 / 233 ] simplifiying candidate # 11.929 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k)))))) 11.929 * * * * [progress]: [ 120 / 233 ] simplifiying candidate # 11.929 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (/ (* (log (* n 2)) (- 1 k)) 2) (log (sqrt k)))))) 11.930 * * * * [progress]: [ 121 / 233 ] simplifiying candidate # 11.930 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (log (exp (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.930 * * * * [progress]: [ 122 / 233 ] simplifiying candidate # 11.930 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (cbrt (/ (/ (* (pow (* n 2) (/ (- 1 k) 2)) (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2)))) k) (sqrt k))))) 11.930 * * * * [progress]: [ 123 / 233 ] simplifiying candidate # 11.930 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.930 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.931 * * * * [progress]: [ 124 / 233 ] simplifiying candidate # 11.931 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (cbrt (* (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.931 * * * * [progress]: [ 125 / 233 ] simplifiying candidate # 11.931 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.931 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.931 * * * * [progress]: [ 126 / 233 ] simplifiying candidate # 11.931 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (- (pow (* n 2) (/ (- 1 k) 2))) (- (sqrt k))))) 11.931 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (- (pow (* n 2) (/ (- 1 k) 2))) (- (sqrt k))))) 11.932 * * * * [progress]: [ 127 / 233 ] simplifiying candidate # 11.932 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow 2 (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 11.932 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 11.932 * * * * [progress]: [ 128 / 233 ] simplifiying candidate # 11.932 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 11.932 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 11.932 * * * * [progress]: [ 129 / 233 ] simplifiying candidate # 11.933 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 11.933 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 11.933 * * * * [progress]: [ 130 / 233 ] simplifiying candidate # 11.933 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow n (/ (- 1 k) 2)) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k))))) 11.933 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow n (/ (- 1 k) 2)) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k))))) 11.933 * * * * [progress]: [ 131 / 233 ] simplifiying candidate # 11.933 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 11.933 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 11.934 * * * * [progress]: [ 132 / 233 ] simplifiying candidate # 11.934 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow n (/ (- 1 k) 2)) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k))))) 11.934 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow n (/ (- 1 k) 2)) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k))))) 11.934 * * * * [progress]: [ 133 / 233 ] simplifiying candidate # 11.934 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))))) 11.934 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))))) 11.934 * * * * [progress]: [ 134 / 233 ] simplifiying candidate # 11.935 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (cbrt k)))))) 11.935 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (cbrt k)))))) 11.935 * * * * [progress]: [ 135 / 233 ] simplifiying candidate # 11.935 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 11.935 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 11.935 * * * * [progress]: [ 136 / 233 ] simplifiying candidate # 11.935 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))) 11.936 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))) 11.936 * * * * [progress]: [ 137 / 233 ] simplifiying candidate # 11.936 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 11.936 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 11.936 * * * * [progress]: [ 138 / 233 ] simplifiying candidate # 11.936 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))) 11.937 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))) 11.937 * * * * [progress]: [ 139 / 233 ] simplifiying candidate # 11.937 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))))) 11.937 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (sqrt k)))))) 11.937 * * * * [progress]: [ 140 / 233 ] simplifiying candidate # 11.937 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (cbrt k)))))) 11.937 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (cbrt k)))))) 11.938 * * * * [progress]: [ 141 / 233 ] simplifiying candidate # 11.938 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 11.938 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 11.938 * * * * [progress]: [ 142 / 233 ] simplifiying candidate # 11.938 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))) 11.938 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))) 11.938 * * * * [progress]: [ 143 / 233 ] simplifiying candidate # 11.939 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 11.939 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 11.939 * * * * [progress]: [ 144 / 233 ] simplifiying candidate # 11.939 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))) 11.939 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))) 11.939 * * * * [progress]: [ 145 / 233 ] simplifiying candidate # 11.939 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 11.940 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 11.940 * * * * [progress]: [ 146 / 233 ] simplifiying candidate # 11.940 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 11.940 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 11.940 * * * * [progress]: [ 147 / 233 ] simplifiying candidate # 11.940 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 11.940 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 11.941 * * * * [progress]: [ 148 / 233 ] simplifiying candidate # 11.941 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 1) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 11.941 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 1) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 11.941 * * * * [progress]: [ 149 / 233 ] simplifiying candidate # 11.941 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 11.941 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 11.941 * * * * [progress]: [ 150 / 233 ] simplifiying candidate # 11.941 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 11.942 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))) 11.942 * * * * [progress]: [ 151 / 233 ] simplifiying candidate # 11.942 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow (* n 2) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))))) 11.942 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- 1 k) 4)) (cbrt (sqrt k)))))) 11.942 * * * * [progress]: [ 152 / 233 ] simplifiying candidate # 11.942 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow (* n 2) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))) 11.943 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (cbrt k)))))) 11.943 * * * * [progress]: [ 153 / 233 ] simplifiying candidate # 11.943 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))) 11.943 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k)))))) 11.943 * * * * [progress]: [ 154 / 233 ] simplifiying candidate # 11.943 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow (* n 2) (/ (- 1 k) 4)) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt k))))) 11.943 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt k))))) 11.944 * * * * [progress]: [ 155 / 233 ] simplifiying candidate # 11.944 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))) 11.944 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt (sqrt k)))))) 11.944 * * * * [progress]: [ 156 / 233 ] simplifiying candidate # 11.944 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow (* n 2) (/ (- 1 k) 4)) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (sqrt k))))) 11.944 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n 2) (/ (- 1 k) 4)) (sqrt k))))) 11.944 * * * * [progress]: [ 157 / 233 ] simplifiying candidate # 11.945 * * * * [progress]: [ 158 / 233 ] simplifiying candidate # 11.945 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow (* n 2) (/ (- 1 k) 2)) (/ 1 (sqrt k))))) 11.945 * * * * [progress]: [ 159 / 233 ] simplifiying candidate # 11.945 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 11.945 * * * * [progress]: [ 160 / 233 ] simplifiying candidate # 11.945 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ (pow (* n 2) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 11.945 * * * * [progress]: [ 161 / 233 ] simplifiying candidate # 11.945 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ (pow (* n 2) (/ (- 1 k) 2)) (fabs (cbrt k))) (sqrt (cbrt k))))) 11.945 * * * * [progress]: [ 162 / 233 ] simplifiying candidate # 11.946 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 11.946 * * * * [progress]: [ 163 / 233 ] simplifiying candidate # 11.946 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.946 * * * * [progress]: [ 164 / 233 ] simplifiying candidate # 11.946 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 11.946 * * * * [progress]: [ 165 / 233 ] simplifiying candidate # 11.946 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.946 * * * * [progress]: [ 166 / 233 ] simplifiying candidate # 11.946 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))))) 11.947 * * * * [progress]: [ 167 / 233 ] simplifiying candidate # 11.947 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 11.947 * * * * [progress]: [ 168 / 233 ] simplifiying candidate # 11.947 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 11.947 * * * * [progress]: [ 169 / 233 ] simplifiying candidate # 11.947 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 11.948 * * * * [progress]: [ 170 / 233 ] simplifiying candidate # 11.948 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 4)))))) 11.948 * * * * [progress]: [ 171 / 233 ] simplifiying candidate # 11.948 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ 1 2)) (* (pow (* n 2) (/ k 2)) (sqrt k))))) 11.948 * * * * [progress]: [ 172 / 233 ] simplifiying candidate #real (real->posit16 (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))))> 11.948 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (posit16->real (real->posit16 (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 11.948 * * * * [progress]: [ 173 / 233 ] simplifiying candidate # 11.948 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (pow (* (/ (- 1 k) 2) (log PI)) 1)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.948 * * * * [progress]: [ 174 / 233 ] simplifiying candidate # 11.949 * * * * [progress]: [ 175 / 233 ] simplifiying candidate # 11.949 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (exp (log (* (/ (- 1 k) 2) (log PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.949 * * * * [progress]: [ 176 / 233 ] simplifiying candidate # 11.949 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (exp (log (* (/ (- 1 k) 2) (log PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.949 * * * * [progress]: [ 177 / 233 ] simplifiying candidate # 11.949 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (exp (log (* (/ (- 1 k) 2) (log PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.949 * * * * [progress]: [ 178 / 233 ] simplifiying candidate # 11.949 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (log (exp (* (/ (- 1 k) 2) (log PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.950 * * * * [progress]: [ 179 / 233 ] simplifiying candidate # 11.950 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (cbrt (* (* (/ (* (- 1 k) (- 1 k)) 4) (/ (- 1 k) 2)) (* (log PI) (* (log PI) (log PI)))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.950 * * * * [progress]: [ 180 / 233 ] simplifiying candidate # 11.950 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (cbrt (* (* (/ (- 1 k) 2) (/ (- 1 k) 2)) (* (/ (- 1 k) 2) (* (log PI) (* (log PI) (log PI))))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.950 * * * * [progress]: [ 181 / 233 ] simplifiying candidate # 11.950 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (* (* (cbrt (* (/ (- 1 k) 2) (log PI))) (cbrt (* (/ (- 1 k) 2) (log PI)))) (cbrt (* (/ (- 1 k) 2) (log PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.950 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (* (cbrt (* (/ (- 1 k) 2) (log PI))) (cbrt (* (/ (- 1 k) 2) (log PI)))) (cbrt (* (/ (- 1 k) 2) (log PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.951 * * * * [progress]: [ 182 / 233 ] simplifiying candidate # 11.951 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (cbrt (* (* (/ (- 1 k) 2) (log PI)) (* (* (/ (- 1 k) 2) (log PI)) (* (/ (- 1 k) 2) (log PI)))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.951 * * * * [progress]: [ 183 / 233 ] simplifiying candidate # 11.951 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (* (sqrt (* (/ (- 1 k) 2) (log PI))) (sqrt (* (/ (- 1 k) 2) (log PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.951 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (sqrt (* (/ (- 1 k) 2) (log PI))) (sqrt (* (/ (- 1 k) 2) (log PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.951 * * * * [progress]: [ 184 / 233 ] simplifiying candidate # 11.951 * * * * [progress]: [ 185 / 233 ] simplifiying candidate # 11.951 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (* (* (sqrt (log PI)) (sqrt (/ (- 1 k) 2))) (* (sqrt (/ (- 1 k) 2)) (sqrt (log PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.952 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (* (sqrt (/ (- 1 k) 2)) (sqrt (log PI))) (* (sqrt (log PI)) (sqrt (/ (- 1 k) 2))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.952 * * * * [progress]: [ 186 / 233 ] simplifiying candidate # 11.952 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (* (* (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt (log PI))) (* (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt (log PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.952 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (* (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt (log PI))) (* (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt (log PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.952 * * * * [progress]: [ 187 / 233 ] simplifiying candidate # 11.952 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (+ (* (/ (- 1 k) 2) (+ (log (cbrt PI)) (log (cbrt PI)))) (* (/ (- 1 k) 2) (log (cbrt PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.953 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (+ (* (/ (- 1 k) 2) (+ (log (cbrt PI)) (log (cbrt PI)))) (* (log (cbrt PI)) (/ (- 1 k) 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.953 * * * * [progress]: [ 188 / 233 ] simplifiying candidate # 11.953 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (+ (* (/ (- 1 k) 2) (log (sqrt PI))) (* (/ (- 1 k) 2) (log (sqrt PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.953 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (+ (* (/ (- 1 k) 2) (log (sqrt PI))) (* (/ (- 1 k) 2) (log (sqrt PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.953 * * * * [progress]: [ 189 / 233 ] simplifiying candidate # 11.953 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (+ (* (/ (- 1 k) 2) 0) (* (/ (- 1 k) 2) (log PI)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.953 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (+ (* (/ (- 1 k) 2) 0) (* (/ (- 1 k) 2) (log PI)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.954 * * * * [progress]: [ 190 / 233 ] simplifiying candidate # 11.954 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (+ (* (/ (- 1 k) 2) (+ (log (cbrt PI)) (log (cbrt PI)))) (* (log (cbrt PI)) (/ (- 1 k) 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.954 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (+ (* (/ (- 1 k) 2) (+ (log (cbrt PI)) (log (cbrt PI)))) (* (log (cbrt PI)) (/ (- 1 k) 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.954 * * * * [progress]: [ 191 / 233 ] simplifiying candidate # 11.954 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (+ (* (/ (- 1 k) 2) (log (sqrt PI))) (* (log (sqrt PI)) (/ (- 1 k) 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.954 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (+ (* (log (sqrt PI)) (/ (- 1 k) 2)) (* (/ (- 1 k) 2) (log (sqrt PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.954 * * * * [progress]: [ 192 / 233 ] simplifiying candidate # 11.955 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (+ (* (/ (- 1 k) 2) 0) (* (log PI) (/ (- 1 k) 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.955 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (+ (* (/ (- 1 k) 2) 0) (* (/ (- 1 k) 2) (log PI)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.955 * * * * [progress]: [ 193 / 233 ] simplifiying candidate # 11.955 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.955 * * * * [progress]: [ 194 / 233 ] simplifiying candidate # 11.955 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (* (* (/ (- 1 k) 2) (* (cbrt (log PI)) (cbrt (log PI)))) (cbrt (log PI)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.955 * * * * [progress]: [ 195 / 233 ] simplifiying candidate # 11.955 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (* (* (sqrt (log PI)) (/ (- 1 k) 2)) (sqrt (log PI)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.956 * * * * [progress]: [ 196 / 233 ] simplifiying candidate # 11.956 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.956 * * * * [progress]: [ 197 / 233 ] simplifiying candidate # 11.956 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (log PI) (cbrt (/ (- 1 k) 2))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.956 * * * * [progress]: [ 198 / 233 ] simplifiying candidate # 11.956 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (sqrt (/ (- 1 k) 2)) (* (sqrt (/ (- 1 k) 2)) (log PI)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.956 * * * * [progress]: [ 199 / 233 ] simplifiying candidate # 11.956 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (/ (* (cbrt (- 1 k)) (log PI)) (cbrt 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.957 * * * * [progress]: [ 200 / 233 ] simplifiying candidate # 11.957 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (log PI) (/ (cbrt (- 1 k)) (sqrt 2))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.957 * * * * [progress]: [ 201 / 233 ] simplifiying candidate # 11.957 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (/ (* (cbrt (- 1 k)) (log PI)) 2))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.957 * * * * [progress]: [ 202 / 233 ] simplifiying candidate # 11.957 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (/ (* (sqrt (- 1 k)) (log PI)) (cbrt 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.957 * * * * [progress]: [ 203 / 233 ] simplifiying candidate # 11.957 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ (sqrt (- 1 k)) (sqrt 2)) (* (log PI) (/ (sqrt (- 1 k)) (sqrt 2))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.958 * * * * [progress]: [ 204 / 233 ] simplifiying candidate # 11.958 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ (sqrt (- 1 k)) 1) (* (log PI) (/ (sqrt (- 1 k)) 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.958 * * * * [progress]: [ 205 / 233 ] simplifiying candidate # 11.958 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ 1 (* (cbrt 2) (cbrt 2))) (/ (* (- 1 k) (log PI)) (cbrt 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.958 * * * * [progress]: [ 206 / 233 ] simplifiying candidate # 11.958 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ 1 (sqrt 2)) (* (/ (- 1 k) (sqrt 2)) (log PI)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.958 * * * * [progress]: [ 207 / 233 ] simplifiying candidate # 11.958 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ 1 1) (* (/ (- 1 k) 2) (log PI)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.959 * * * * [progress]: [ 208 / 233 ] simplifiying candidate # 11.959 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (/ (* (- 1 (sqrt k)) (log PI)) (cbrt 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.959 * * * * [progress]: [ 209 / 233 ] simplifiying candidate # 11.959 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (/ (- 1 (sqrt k)) (sqrt 2)) (log PI)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.959 * * * * [progress]: [ 210 / 233 ] simplifiying candidate # 11.959 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ (+ (sqrt 1) (sqrt k)) 1) (* (- 1/2 (/ (sqrt k) 2)) (log PI)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.959 * * * * [progress]: [ 211 / 233 ] simplifiying candidate # 11.959 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (/ (* (- 1 (sqrt k)) (log PI)) (cbrt 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.960 * * * * [progress]: [ 212 / 233 ] simplifiying candidate # 11.960 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ (+ 1 (sqrt k)) (sqrt 2)) (* (/ (- 1 (sqrt k)) (sqrt 2)) (log PI)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.960 * * * * [progress]: [ 213 / 233 ] simplifiying candidate # 11.960 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ (+ 1 (sqrt k)) 1) (* (- 1/2 (/ (sqrt k) 2)) (log PI)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.960 * * * * [progress]: [ 214 / 233 ] simplifiying candidate # 11.960 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ 1 (* (cbrt 2) (cbrt 2))) (/ (* (- 1 k) (log PI)) (cbrt 2)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.960 * * * * [progress]: [ 215 / 233 ] simplifiying candidate # 11.960 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ 1 (sqrt 2)) (* (/ (- 1 k) (sqrt 2)) (log PI)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.961 * * * * [progress]: [ 216 / 233 ] simplifiying candidate # 11.961 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (/ 1 1) (* (/ (- 1 k) 2) (log PI)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.961 * * * * [progress]: [ 217 / 233 ] simplifiying candidate # 11.961 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* 1 (* (/ (- 1 k) 2) (log PI)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.961 * * * * [progress]: [ 218 / 233 ] simplifiying candidate # 11.961 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (- 1 k) (* 1/2 (log PI)))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.961 * * * * [progress]: [ 219 / 233 ] simplifiying candidate # 11.961 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (/ (* (- 1 k) (log PI)) 2)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.961 * * * * [progress]: [ 220 / 233 ] simplifiying candidate #real (real->posit16 (* (/ (- 1 k) 2) (log PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k))))> 11.962 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (exp (posit16->real (real->posit16 (* (/ (- 1 k) 2) (log PI))))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.962 * * * * [progress]: [ 221 / 233 ] simplifiying candidate # 11.962 * * * * [progress]: [ 222 / 233 ] simplifiying candidate # 11.962 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (+ (exp (* (log (* n 2)) 1/2)) (- (+ (+ (* (* 1/8 (exp (* (log (* n 2)) 1/2))) (* (* k k) (* (log n) (log n)))) (* (* 1/4 (log 2)) (* (* (log n) (* k k)) (exp (* (log (* n 2)) 1/2))))) (* (* (* (exp (* (log (* n 2)) 1/2)) (* k k)) (* (log 2) (log 2))) 1/8)) (* 1/2 (+ (* (* k (log n)) (exp (* (log (* n 2)) 1/2))) (* (* k (exp (* (log (* n 2)) 1/2))) (log 2)))))) (sqrt k)))) 11.962 * * * * [progress]: [ 223 / 233 ] simplifiying candidate # 11.962 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))) (sqrt k)))) 11.963 * * * * [progress]: [ 224 / 233 ] simplifiying candidate # 11.963 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (exp (* (* 1/2 (- 1 k)) (- (log -2) (log (/ -1 n))))) (sqrt k)))) 11.963 * * * * [progress]: [ 225 / 233 ] simplifiying candidate # 11.963 * [simplify]: Simplified (2) to (λ (k n) (- (- (* (* +nan.0 (sqrt 2)) (* n (* PI k))) (- (* (* (* (sqrt 2) n) PI) +nan.0) (- (* +nan.0 (* (log 2) (* (* n (* PI k)) (sqrt 2)))) (- (* (* (sqrt 2) (* (* PI n) (* k (log n)))) +nan.0) (- (* (* +nan.0 (sqrt 2)) (* (* PI n) (* k (log PI)))) (* +nan.0 (* (* (sqrt 2) (* n n)) (* PI PI)))))))))) 11.963 * * * * [progress]: [ 226 / 233 ] simplifiying candidate # 11.964 * [simplify]: Simplified (2) to (λ (k n) (- (- (* (/ (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* 1/2 (* (- 1 k) (log PI))))) (* k k)) +nan.0) (- (/ (* +nan.0 (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* 1/2 (* (- 1 k) (log PI)))))) k) (/ (* +nan.0 (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* 1/2 (* (- 1 k) (log PI)))))) (* k (* k k))))))) 11.964 * * * * [progress]: [ 227 / 233 ] simplifiying candidate # 11.964 * [simplify]: Simplified (2) to (λ (k n) (- (- (* (/ (exp (+ (* (* 1/2 (- 1 k)) (- (log -2) (log (/ -1 n)))) (* 1/2 (* (- 1 k) (log PI))))) k) +nan.0) (- (* +nan.0 (/ (exp (+ (* (* 1/2 (- 1 k)) (- (log -2) (log (/ -1 n)))) (* 1/2 (* (- 1 k) (log PI))))) (* k k))) (* +nan.0 (exp (+ (* (* 1/2 (- 1 k)) (- (log -2) (log (/ -1 n)))) (* 1/2 (* (- 1 k) (log PI)))))))))) 11.964 * * * * [progress]: [ 228 / 233 ] simplifiying candidate # 11.964 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (- (- (* (* (exp (* (log (* n 2)) 1/2)) +nan.0) (* k (log n))) (- (* +nan.0 (* (* (exp (* (log (* n 2)) 1/2)) (* k k)) (* (log 2) (log 2)))) (- (* (* (* (log 2) (exp (* (log (* n 2)) 1/2))) (* (log n) (* k k))) +nan.0) (- (* +nan.0 (* k (exp (* (log (* n 2)) 1/2)))) (- (* (* (exp (* (log (* n 2)) 1/2)) +nan.0) (* (* k k) (* (log n) (log n)))) (- (* (* (exp (* (log (* n 2)) 1/2)) +nan.0) (* (log n) (* k k))) (- (* (* +nan.0 (log 2)) (* (exp (* (log (* n 2)) 1/2)) (* k k))) (- (* (exp (* (log (* n 2)) 1/2)) +nan.0) (- (* (* (* k (exp (* (log (* n 2)) 1/2))) (log 2)) +nan.0) (* (* (exp (* (log (* n 2)) 1/2)) (* k k)) +nan.0))))))))))))) 11.965 * * * * [progress]: [ 229 / 233 ] simplifiying candidate # 11.966 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (- (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))) (* k k))) (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))) k) +nan.0) (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))))) (* k (* k k)))))))) 11.966 * * * * [progress]: [ 230 / 233 ] simplifiying candidate # 11.966 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (- (- (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log -2) (log (/ -1 n)))))) (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log -2) (log (/ -1 n))))) k) +nan.0) (* (/ (exp (* (* 1/2 (- 1 k)) (- (log -2) (log (/ -1 n))))) (* k k)) +nan.0)))))) 11.966 * * * * [progress]: [ 231 / 233 ] simplifiying candidate # 11.966 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* 1/2 (log PI)) (* (* 1/2 (log PI)) k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.967 * * * * [progress]: [ 232 / 233 ] simplifiying candidate # 11.967 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* 1/2 (log PI)) (* (* 1/2 (log PI)) k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.967 * * * * [progress]: [ 233 / 233 ] simplifiying candidate # 11.967 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* 1/2 (log PI)) (* (* 1/2 (log PI)) k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))) 11.967 * * * [progress]: adding candidates to table 15.619 * * [progress]: iteration 4 / 4 15.619 * * * [progress]: picking best candidate 15.653 * * * * [pick]: Picked # 15.653 * * * [progress]: localizing error 15.693 * * * [progress]: generating rewritten candidates 15.693 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 15.704 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 15.759 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 15.772 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 15.813 * * * [progress]: generating series expansions 15.813 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 15.813 * [backup-simplify]: Simplify (pow (* n 2) (/ (- 1 k) 2)) into (pow (* 2 n) (* 1/2 (- 1 k))) 15.814 * [approximate]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in (n k) around 0 15.814 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in k 15.814 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in k 15.814 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in k 15.814 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 15.814 * [taylor]: Taking taylor expansion of 1/2 in k 15.814 * [backup-simplify]: Simplify 1/2 into 1/2 15.814 * [taylor]: Taking taylor expansion of (- 1 k) in k 15.814 * [taylor]: Taking taylor expansion of 1 in k 15.814 * [backup-simplify]: Simplify 1 into 1 15.814 * [taylor]: Taking taylor expansion of k in k 15.814 * [backup-simplify]: Simplify 0 into 0 15.814 * [backup-simplify]: Simplify 1 into 1 15.814 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k 15.814 * [taylor]: Taking taylor expansion of (* 2 n) in k 15.814 * [taylor]: Taking taylor expansion of 2 in k 15.814 * [backup-simplify]: Simplify 2 into 2 15.814 * [taylor]: Taking taylor expansion of n in k 15.814 * [backup-simplify]: Simplify n into n 15.814 * [backup-simplify]: Simplify (* 2 n) into (* 2 n) 15.814 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n)) 15.815 * [backup-simplify]: Simplify (- 0) into 0 15.815 * [backup-simplify]: Simplify (+ 1 0) into 1 15.816 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.816 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 15.816 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 15.816 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in n 15.816 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in n 15.816 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in n 15.816 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 15.816 * [taylor]: Taking taylor expansion of 1/2 in n 15.816 * [backup-simplify]: Simplify 1/2 into 1/2 15.816 * [taylor]: Taking taylor expansion of (- 1 k) in n 15.816 * [taylor]: Taking taylor expansion of 1 in n 15.816 * [backup-simplify]: Simplify 1 into 1 15.816 * [taylor]: Taking taylor expansion of k in n 15.816 * [backup-simplify]: Simplify k into k 15.816 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 15.816 * [taylor]: Taking taylor expansion of (* 2 n) in n 15.816 * [taylor]: Taking taylor expansion of 2 in n 15.816 * [backup-simplify]: Simplify 2 into 2 15.816 * [taylor]: Taking taylor expansion of n in n 15.816 * [backup-simplify]: Simplify 0 into 0 15.816 * [backup-simplify]: Simplify 1 into 1 15.817 * [backup-simplify]: Simplify (* 2 0) into 0 15.817 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 15.818 * [backup-simplify]: Simplify (log 2) into (log 2) 15.818 * [backup-simplify]: Simplify (- k) into (- k) 15.818 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 15.818 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 15.818 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 15.819 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) 15.819 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 15.819 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in n 15.819 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in n 15.819 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in n 15.819 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 15.819 * [taylor]: Taking taylor expansion of 1/2 in n 15.819 * [backup-simplify]: Simplify 1/2 into 1/2 15.819 * [taylor]: Taking taylor expansion of (- 1 k) in n 15.819 * [taylor]: Taking taylor expansion of 1 in n 15.819 * [backup-simplify]: Simplify 1 into 1 15.819 * [taylor]: Taking taylor expansion of k in n 15.819 * [backup-simplify]: Simplify k into k 15.819 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 15.819 * [taylor]: Taking taylor expansion of (* 2 n) in n 15.819 * [taylor]: Taking taylor expansion of 2 in n 15.819 * [backup-simplify]: Simplify 2 into 2 15.819 * [taylor]: Taking taylor expansion of n in n 15.819 * [backup-simplify]: Simplify 0 into 0 15.819 * [backup-simplify]: Simplify 1 into 1 15.820 * [backup-simplify]: Simplify (* 2 0) into 0 15.820 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 15.820 * [backup-simplify]: Simplify (log 2) into (log 2) 15.820 * [backup-simplify]: Simplify (- k) into (- k) 15.820 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 15.820 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 15.821 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 15.821 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) 15.821 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 15.821 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) in k 15.822 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) in k 15.822 * [taylor]: Taking taylor expansion of 1/2 in k 15.822 * [backup-simplify]: Simplify 1/2 into 1/2 15.822 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log 2) (log n))) in k 15.822 * [taylor]: Taking taylor expansion of (- 1 k) in k 15.822 * [taylor]: Taking taylor expansion of 1 in k 15.822 * [backup-simplify]: Simplify 1 into 1 15.822 * [taylor]: Taking taylor expansion of k in k 15.822 * [backup-simplify]: Simplify 0 into 0 15.822 * [backup-simplify]: Simplify 1 into 1 15.822 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k 15.822 * [taylor]: Taking taylor expansion of (log 2) in k 15.822 * [taylor]: Taking taylor expansion of 2 in k 15.822 * [backup-simplify]: Simplify 2 into 2 15.822 * [backup-simplify]: Simplify (log 2) into (log 2) 15.822 * [taylor]: Taking taylor expansion of (log n) in k 15.822 * [taylor]: Taking taylor expansion of n in k 15.822 * [backup-simplify]: Simplify n into n 15.822 * [backup-simplify]: Simplify (log n) into (log n) 15.822 * [backup-simplify]: Simplify (- 0) into 0 15.823 * [backup-simplify]: Simplify (+ 1 0) into 1 15.823 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 15.823 * [backup-simplify]: Simplify (* 1 (+ (log 2) (log n))) into (+ (log 2) (log n)) 15.823 * [backup-simplify]: Simplify (* 1/2 (+ (log 2) (log n))) into (* 1/2 (+ (log 2) (log n))) 15.824 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 15.824 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 15.825 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 15.825 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 15.826 * [backup-simplify]: Simplify (- 0) into 0 15.826 * [backup-simplify]: Simplify (+ 0 0) into 0 15.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 15.827 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 15.827 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 15.828 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.828 * [taylor]: Taking taylor expansion of 0 in k 15.828 * [backup-simplify]: Simplify 0 into 0 15.828 * [backup-simplify]: Simplify 0 into 0 15.828 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 15.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 15.829 * [backup-simplify]: Simplify (+ 0 0) into 0 15.829 * [backup-simplify]: Simplify (- 1) into -1 15.830 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.830 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log 2) (log n)))) into (- (+ (log 2) (log n))) 15.831 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n)))) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 15.832 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 15.833 * [backup-simplify]: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 15.833 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.835 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 15.835 * [backup-simplify]: Simplify (- 0) into 0 15.836 * [backup-simplify]: Simplify (+ 0 0) into 0 15.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 15.837 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 15.837 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 15.838 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.838 * [taylor]: Taking taylor expansion of 0 in k 15.838 * [backup-simplify]: Simplify 0 into 0 15.838 * [backup-simplify]: Simplify 0 into 0 15.838 * [backup-simplify]: Simplify 0 into 0 15.840 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 15.841 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 15.841 * [backup-simplify]: Simplify (+ 0 0) into 0 15.841 * [backup-simplify]: Simplify (- 0) into 0 15.842 * [backup-simplify]: Simplify (+ 0 0) into 0 15.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log 2) (log n))))) into 0 15.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n))))) into 0 15.845 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 15.846 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 15.855 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 15.855 * [backup-simplify]: Simplify (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) 15.855 * [approximate]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 15.855 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in k 15.855 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in k 15.855 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in k 15.855 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 15.855 * [taylor]: Taking taylor expansion of 1/2 in k 15.855 * [backup-simplify]: Simplify 1/2 into 1/2 15.855 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 15.855 * [taylor]: Taking taylor expansion of 1 in k 15.855 * [backup-simplify]: Simplify 1 into 1 15.855 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.855 * [taylor]: Taking taylor expansion of k in k 15.855 * [backup-simplify]: Simplify 0 into 0 15.855 * [backup-simplify]: Simplify 1 into 1 15.856 * [backup-simplify]: Simplify (/ 1 1) into 1 15.856 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k 15.856 * [taylor]: Taking taylor expansion of (/ 2 n) in k 15.856 * [taylor]: Taking taylor expansion of 2 in k 15.856 * [backup-simplify]: Simplify 2 into 2 15.856 * [taylor]: Taking taylor expansion of n in k 15.856 * [backup-simplify]: Simplify n into n 15.856 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n) 15.856 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n)) 15.856 * [backup-simplify]: Simplify (- 1) into -1 15.856 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.857 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 15.857 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 15.857 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) 15.857 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in n 15.857 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in n 15.857 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in n 15.857 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 15.857 * [taylor]: Taking taylor expansion of 1/2 in n 15.857 * [backup-simplify]: Simplify 1/2 into 1/2 15.857 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 15.857 * [taylor]: Taking taylor expansion of 1 in n 15.857 * [backup-simplify]: Simplify 1 into 1 15.857 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.857 * [taylor]: Taking taylor expansion of k in n 15.857 * [backup-simplify]: Simplify k into k 15.857 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.857 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 15.857 * [taylor]: Taking taylor expansion of (/ 2 n) in n 15.857 * [taylor]: Taking taylor expansion of 2 in n 15.857 * [backup-simplify]: Simplify 2 into 2 15.857 * [taylor]: Taking taylor expansion of n in n 15.857 * [backup-simplify]: Simplify 0 into 0 15.857 * [backup-simplify]: Simplify 1 into 1 15.858 * [backup-simplify]: Simplify (/ 2 1) into 2 15.858 * [backup-simplify]: Simplify (log 2) into (log 2) 15.858 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.858 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 15.858 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 15.858 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 15.859 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 15.859 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 15.859 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in n 15.859 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in n 15.859 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in n 15.859 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 15.859 * [taylor]: Taking taylor expansion of 1/2 in n 15.859 * [backup-simplify]: Simplify 1/2 into 1/2 15.859 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 15.859 * [taylor]: Taking taylor expansion of 1 in n 15.859 * [backup-simplify]: Simplify 1 into 1 15.859 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.859 * [taylor]: Taking taylor expansion of k in n 15.859 * [backup-simplify]: Simplify k into k 15.859 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.859 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 15.859 * [taylor]: Taking taylor expansion of (/ 2 n) in n 15.859 * [taylor]: Taking taylor expansion of 2 in n 15.859 * [backup-simplify]: Simplify 2 into 2 15.859 * [taylor]: Taking taylor expansion of n in n 15.859 * [backup-simplify]: Simplify 0 into 0 15.859 * [backup-simplify]: Simplify 1 into 1 15.860 * [backup-simplify]: Simplify (/ 2 1) into 2 15.860 * [backup-simplify]: Simplify (log 2) into (log 2) 15.860 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.860 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 15.860 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 15.861 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 15.861 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 15.861 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 15.861 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) in k 15.861 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) in k 15.861 * [taylor]: Taking taylor expansion of 1/2 in k 15.861 * [backup-simplify]: Simplify 1/2 into 1/2 15.861 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log 2) (log n))) in k 15.861 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 15.862 * [taylor]: Taking taylor expansion of 1 in k 15.862 * [backup-simplify]: Simplify 1 into 1 15.862 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.862 * [taylor]: Taking taylor expansion of k in k 15.862 * [backup-simplify]: Simplify 0 into 0 15.862 * [backup-simplify]: Simplify 1 into 1 15.862 * [backup-simplify]: Simplify (/ 1 1) into 1 15.862 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k 15.862 * [taylor]: Taking taylor expansion of (log 2) in k 15.862 * [taylor]: Taking taylor expansion of 2 in k 15.862 * [backup-simplify]: Simplify 2 into 2 15.862 * [backup-simplify]: Simplify (log 2) into (log 2) 15.862 * [taylor]: Taking taylor expansion of (log n) in k 15.862 * [taylor]: Taking taylor expansion of n in k 15.862 * [backup-simplify]: Simplify n into n 15.862 * [backup-simplify]: Simplify (log n) into (log n) 15.862 * [backup-simplify]: Simplify (- 1) into -1 15.863 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.863 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.863 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 15.863 * [backup-simplify]: Simplify (* -1 (- (log 2) (log n))) into (* -1 (- (log 2) (log n))) 15.864 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log 2) (log n)))) into (* -1/2 (- (log 2) (log n))) 15.864 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 15.864 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 15.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 15.866 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 15.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.866 * [backup-simplify]: Simplify (- 0) into 0 15.866 * [backup-simplify]: Simplify (+ 0 0) into 0 15.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 15.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 15.867 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 15.868 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.868 * [taylor]: Taking taylor expansion of 0 in k 15.868 * [backup-simplify]: Simplify 0 into 0 15.868 * [backup-simplify]: Simplify 0 into 0 15.868 * [backup-simplify]: Simplify 0 into 0 15.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.870 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 15.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.871 * [backup-simplify]: Simplify (- 0) into 0 15.871 * [backup-simplify]: Simplify (+ 0 0) into 0 15.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 15.872 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 15.872 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 15.873 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.873 * [taylor]: Taking taylor expansion of 0 in k 15.873 * [backup-simplify]: Simplify 0 into 0 15.873 * [backup-simplify]: Simplify 0 into 0 15.874 * [backup-simplify]: Simplify 0 into 0 15.874 * [backup-simplify]: Simplify 0 into 0 15.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.877 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 15.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.877 * [backup-simplify]: Simplify (- 0) into 0 15.878 * [backup-simplify]: Simplify (+ 0 0) into 0 15.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 15.879 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 15.880 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 15.881 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.881 * [taylor]: Taking taylor expansion of 0 in k 15.882 * [backup-simplify]: Simplify 0 into 0 15.882 * [backup-simplify]: Simplify 0 into 0 15.882 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) 15.882 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) 15.882 * [approximate]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 15.882 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in k 15.882 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in k 15.882 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in k 15.882 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 15.882 * [taylor]: Taking taylor expansion of 1/2 in k 15.882 * [backup-simplify]: Simplify 1/2 into 1/2 15.882 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 15.882 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.882 * [taylor]: Taking taylor expansion of k in k 15.882 * [backup-simplify]: Simplify 0 into 0 15.882 * [backup-simplify]: Simplify 1 into 1 15.883 * [backup-simplify]: Simplify (/ 1 1) into 1 15.883 * [taylor]: Taking taylor expansion of 1 in k 15.883 * [backup-simplify]: Simplify 1 into 1 15.883 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k 15.883 * [taylor]: Taking taylor expansion of (/ -2 n) in k 15.883 * [taylor]: Taking taylor expansion of -2 in k 15.883 * [backup-simplify]: Simplify -2 into -2 15.883 * [taylor]: Taking taylor expansion of n in k 15.883 * [backup-simplify]: Simplify n into n 15.883 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 15.883 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n)) 15.883 * [backup-simplify]: Simplify (+ 1 0) into 1 15.883 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.883 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 15.884 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) 15.884 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in n 15.884 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in n 15.884 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in n 15.884 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 15.884 * [taylor]: Taking taylor expansion of 1/2 in n 15.884 * [backup-simplify]: Simplify 1/2 into 1/2 15.884 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 15.884 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.884 * [taylor]: Taking taylor expansion of k in n 15.884 * [backup-simplify]: Simplify k into k 15.884 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.884 * [taylor]: Taking taylor expansion of 1 in n 15.884 * [backup-simplify]: Simplify 1 into 1 15.884 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 15.884 * [taylor]: Taking taylor expansion of (/ -2 n) in n 15.884 * [taylor]: Taking taylor expansion of -2 in n 15.884 * [backup-simplify]: Simplify -2 into -2 15.884 * [taylor]: Taking taylor expansion of n in n 15.884 * [backup-simplify]: Simplify 0 into 0 15.884 * [backup-simplify]: Simplify 1 into 1 15.884 * [backup-simplify]: Simplify (/ -2 1) into -2 15.884 * [backup-simplify]: Simplify (log -2) into (log -2) 15.884 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 15.885 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 15.885 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 15.885 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 15.886 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 15.886 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in n 15.886 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in n 15.886 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in n 15.886 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 15.886 * [taylor]: Taking taylor expansion of 1/2 in n 15.886 * [backup-simplify]: Simplify 1/2 into 1/2 15.886 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 15.886 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.886 * [taylor]: Taking taylor expansion of k in n 15.886 * [backup-simplify]: Simplify k into k 15.886 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.886 * [taylor]: Taking taylor expansion of 1 in n 15.886 * [backup-simplify]: Simplify 1 into 1 15.886 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 15.886 * [taylor]: Taking taylor expansion of (/ -2 n) in n 15.886 * [taylor]: Taking taylor expansion of -2 in n 15.886 * [backup-simplify]: Simplify -2 into -2 15.886 * [taylor]: Taking taylor expansion of n in n 15.886 * [backup-simplify]: Simplify 0 into 0 15.886 * [backup-simplify]: Simplify 1 into 1 15.886 * [backup-simplify]: Simplify (/ -2 1) into -2 15.887 * [backup-simplify]: Simplify (log -2) into (log -2) 15.887 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 15.887 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 15.887 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 15.888 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 15.888 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 15.888 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) in k 15.888 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) in k 15.888 * [taylor]: Taking taylor expansion of 1/2 in k 15.888 * [backup-simplify]: Simplify 1/2 into 1/2 15.888 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -2) (log n))) in k 15.888 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 15.888 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.888 * [taylor]: Taking taylor expansion of k in k 15.888 * [backup-simplify]: Simplify 0 into 0 15.888 * [backup-simplify]: Simplify 1 into 1 15.888 * [backup-simplify]: Simplify (/ 1 1) into 1 15.888 * [taylor]: Taking taylor expansion of 1 in k 15.888 * [backup-simplify]: Simplify 1 into 1 15.888 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k 15.888 * [taylor]: Taking taylor expansion of (log -2) in k 15.888 * [taylor]: Taking taylor expansion of -2 in k 15.888 * [backup-simplify]: Simplify -2 into -2 15.889 * [backup-simplify]: Simplify (log -2) into (log -2) 15.889 * [taylor]: Taking taylor expansion of (log n) in k 15.889 * [taylor]: Taking taylor expansion of n in k 15.889 * [backup-simplify]: Simplify n into n 15.889 * [backup-simplify]: Simplify (log n) into (log n) 15.889 * [backup-simplify]: Simplify (+ 1 0) into 1 15.889 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.889 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 15.890 * [backup-simplify]: Simplify (* 1 (- (log -2) (log n))) into (- (log -2) (log n)) 15.890 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 15.890 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 15.891 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 15.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 15.892 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 15.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.892 * [backup-simplify]: Simplify (+ 0 0) into 0 15.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 15.893 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 15.893 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -2) (log n)))) into 0 15.894 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.894 * [taylor]: Taking taylor expansion of 0 in k 15.894 * [backup-simplify]: Simplify 0 into 0 15.894 * [backup-simplify]: Simplify 0 into 0 15.894 * [backup-simplify]: Simplify 0 into 0 15.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.897 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 15.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.897 * [backup-simplify]: Simplify (+ 0 0) into 0 15.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 15.898 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 15.899 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 15.900 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.900 * [taylor]: Taking taylor expansion of 0 in k 15.900 * [backup-simplify]: Simplify 0 into 0 15.900 * [backup-simplify]: Simplify 0 into 0 15.900 * [backup-simplify]: Simplify 0 into 0 15.900 * [backup-simplify]: Simplify 0 into 0 15.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.903 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 15.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.904 * [backup-simplify]: Simplify (+ 0 0) into 0 15.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 15.905 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 15.906 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 15.907 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.907 * [taylor]: Taking taylor expansion of 0 in k 15.907 * [backup-simplify]: Simplify 0 into 0 15.907 * [backup-simplify]: Simplify 0 into 0 15.907 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) 15.907 * * * * [progress]: [ 2 / 4 ] generating series at (2) 15.908 * [backup-simplify]: Simplify (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) into (* (* (pow (* 2 n) (* 1/2 (- 1 k))) (exp (* 1/2 (* (- 1 k) (log PI))))) (sqrt (/ 1 k))) 15.908 * [approximate]: Taking taylor expansion of (* (* (pow (* 2 n) (* 1/2 (- 1 k))) (exp (* 1/2 (* (- 1 k) (log PI))))) (sqrt (/ 1 k))) in (k n) around 0 15.908 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (* 1/2 (- 1 k))) (exp (* 1/2 (* (- 1 k) (log PI))))) (sqrt (/ 1 k))) in n 15.908 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (exp (* 1/2 (* (- 1 k) (log PI))))) in n 15.908 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in n 15.908 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in n 15.908 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in n 15.908 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 15.908 * [taylor]: Taking taylor expansion of 1/2 in n 15.908 * [backup-simplify]: Simplify 1/2 into 1/2 15.908 * [taylor]: Taking taylor expansion of (- 1 k) in n 15.908 * [taylor]: Taking taylor expansion of 1 in n 15.908 * [backup-simplify]: Simplify 1 into 1 15.908 * [taylor]: Taking taylor expansion of k in n 15.908 * [backup-simplify]: Simplify k into k 15.908 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 15.908 * [taylor]: Taking taylor expansion of (* 2 n) in n 15.908 * [taylor]: Taking taylor expansion of 2 in n 15.908 * [backup-simplify]: Simplify 2 into 2 15.908 * [taylor]: Taking taylor expansion of n in n 15.908 * [backup-simplify]: Simplify 0 into 0 15.908 * [backup-simplify]: Simplify 1 into 1 15.909 * [backup-simplify]: Simplify (* 2 0) into 0 15.909 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 15.909 * [backup-simplify]: Simplify (log 2) into (log 2) 15.909 * [backup-simplify]: Simplify (- k) into (- k) 15.909 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 15.909 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 15.910 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 15.910 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) 15.911 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 15.911 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log PI)))) in n 15.911 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log PI))) in n 15.911 * [taylor]: Taking taylor expansion of 1/2 in n 15.911 * [backup-simplify]: Simplify 1/2 into 1/2 15.911 * [taylor]: Taking taylor expansion of (* (- 1 k) (log PI)) in n 15.911 * [taylor]: Taking taylor expansion of (- 1 k) in n 15.911 * [taylor]: Taking taylor expansion of 1 in n 15.911 * [backup-simplify]: Simplify 1 into 1 15.911 * [taylor]: Taking taylor expansion of k in n 15.911 * [backup-simplify]: Simplify k into k 15.911 * [taylor]: Taking taylor expansion of (log PI) in n 15.911 * [taylor]: Taking taylor expansion of PI in n 15.911 * [backup-simplify]: Simplify PI into PI 15.911 * [backup-simplify]: Simplify (log PI) into (log PI) 15.911 * [backup-simplify]: Simplify (- k) into (- k) 15.911 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 15.911 * [backup-simplify]: Simplify (* (- 1 k) (log PI)) into (* (- 1 k) (log PI)) 15.912 * [backup-simplify]: Simplify (* 1/2 (* (- 1 k) (log PI))) into (* 1/2 (* (- 1 k) (log PI))) 15.912 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 15.912 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 15.912 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.912 * [taylor]: Taking taylor expansion of k in n 15.912 * [backup-simplify]: Simplify k into k 15.912 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.912 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 15.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 15.912 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (* 1/2 (- 1 k))) (exp (* 1/2 (* (- 1 k) (log PI))))) (sqrt (/ 1 k))) in k 15.912 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (exp (* 1/2 (* (- 1 k) (log PI))))) in k 15.912 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in k 15.912 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in k 15.912 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in k 15.912 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 15.912 * [taylor]: Taking taylor expansion of 1/2 in k 15.912 * [backup-simplify]: Simplify 1/2 into 1/2 15.912 * [taylor]: Taking taylor expansion of (- 1 k) in k 15.912 * [taylor]: Taking taylor expansion of 1 in k 15.913 * [backup-simplify]: Simplify 1 into 1 15.913 * [taylor]: Taking taylor expansion of k in k 15.913 * [backup-simplify]: Simplify 0 into 0 15.913 * [backup-simplify]: Simplify 1 into 1 15.913 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k 15.913 * [taylor]: Taking taylor expansion of (* 2 n) in k 15.913 * [taylor]: Taking taylor expansion of 2 in k 15.913 * [backup-simplify]: Simplify 2 into 2 15.913 * [taylor]: Taking taylor expansion of n in k 15.913 * [backup-simplify]: Simplify n into n 15.913 * [backup-simplify]: Simplify (* 2 n) into (* 2 n) 15.913 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n)) 15.913 * [backup-simplify]: Simplify (- 0) into 0 15.913 * [backup-simplify]: Simplify (+ 1 0) into 1 15.913 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.914 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 15.914 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 15.914 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log PI)))) in k 15.914 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log PI))) in k 15.914 * [taylor]: Taking taylor expansion of 1/2 in k 15.914 * [backup-simplify]: Simplify 1/2 into 1/2 15.914 * [taylor]: Taking taylor expansion of (* (- 1 k) (log PI)) in k 15.914 * [taylor]: Taking taylor expansion of (- 1 k) in k 15.914 * [taylor]: Taking taylor expansion of 1 in k 15.914 * [backup-simplify]: Simplify 1 into 1 15.914 * [taylor]: Taking taylor expansion of k in k 15.914 * [backup-simplify]: Simplify 0 into 0 15.914 * [backup-simplify]: Simplify 1 into 1 15.914 * [taylor]: Taking taylor expansion of (log PI) in k 15.914 * [taylor]: Taking taylor expansion of PI in k 15.914 * [backup-simplify]: Simplify PI into PI 15.914 * [backup-simplify]: Simplify (log PI) into (log PI) 15.914 * [backup-simplify]: Simplify (- 0) into 0 15.915 * [backup-simplify]: Simplify (+ 1 0) into 1 15.915 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 15.916 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 15.916 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 15.917 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 15.917 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.917 * [taylor]: Taking taylor expansion of k in k 15.917 * [backup-simplify]: Simplify 0 into 0 15.917 * [backup-simplify]: Simplify 1 into 1 15.917 * [backup-simplify]: Simplify (/ 1 1) into 1 15.917 * [backup-simplify]: Simplify (sqrt 0) into 0 15.919 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.919 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (* 1/2 (- 1 k))) (exp (* 1/2 (* (- 1 k) (log PI))))) (sqrt (/ 1 k))) in k 15.919 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (exp (* 1/2 (* (- 1 k) (log PI))))) in k 15.919 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in k 15.919 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in k 15.919 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in k 15.919 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 15.919 * [taylor]: Taking taylor expansion of 1/2 in k 15.919 * [backup-simplify]: Simplify 1/2 into 1/2 15.919 * [taylor]: Taking taylor expansion of (- 1 k) in k 15.919 * [taylor]: Taking taylor expansion of 1 in k 15.919 * [backup-simplify]: Simplify 1 into 1 15.919 * [taylor]: Taking taylor expansion of k in k 15.919 * [backup-simplify]: Simplify 0 into 0 15.919 * [backup-simplify]: Simplify 1 into 1 15.919 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k 15.919 * [taylor]: Taking taylor expansion of (* 2 n) in k 15.919 * [taylor]: Taking taylor expansion of 2 in k 15.919 * [backup-simplify]: Simplify 2 into 2 15.919 * [taylor]: Taking taylor expansion of n in k 15.919 * [backup-simplify]: Simplify n into n 15.920 * [backup-simplify]: Simplify (* 2 n) into (* 2 n) 15.920 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n)) 15.920 * [backup-simplify]: Simplify (- 0) into 0 15.921 * [backup-simplify]: Simplify (+ 1 0) into 1 15.921 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.921 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 15.921 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 15.921 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log PI)))) in k 15.921 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log PI))) in k 15.921 * [taylor]: Taking taylor expansion of 1/2 in k 15.921 * [backup-simplify]: Simplify 1/2 into 1/2 15.921 * [taylor]: Taking taylor expansion of (* (- 1 k) (log PI)) in k 15.921 * [taylor]: Taking taylor expansion of (- 1 k) in k 15.921 * [taylor]: Taking taylor expansion of 1 in k 15.921 * [backup-simplify]: Simplify 1 into 1 15.921 * [taylor]: Taking taylor expansion of k in k 15.921 * [backup-simplify]: Simplify 0 into 0 15.922 * [backup-simplify]: Simplify 1 into 1 15.922 * [taylor]: Taking taylor expansion of (log PI) in k 15.922 * [taylor]: Taking taylor expansion of PI in k 15.922 * [backup-simplify]: Simplify PI into PI 15.922 * [backup-simplify]: Simplify (log PI) into (log PI) 15.922 * [backup-simplify]: Simplify (- 0) into 0 15.923 * [backup-simplify]: Simplify (+ 1 0) into 1 15.924 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 15.925 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 15.926 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 15.926 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 15.926 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.926 * [taylor]: Taking taylor expansion of k in k 15.926 * [backup-simplify]: Simplify 0 into 0 15.926 * [backup-simplify]: Simplify 1 into 1 15.927 * [backup-simplify]: Simplify (/ 1 1) into 1 15.927 * [backup-simplify]: Simplify (sqrt 0) into 0 15.928 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.929 * [backup-simplify]: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 15.929 * [backup-simplify]: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 15.929 * [taylor]: Taking taylor expansion of 0 in n 15.929 * [backup-simplify]: Simplify 0 into 0 15.929 * [backup-simplify]: Simplify 0 into 0 15.931 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 15.931 * [backup-simplify]: Simplify (- 1) into -1 15.932 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.934 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log PI))) into (- (log PI)) 15.937 * [backup-simplify]: Simplify (+ (* 1/2 (- (log PI))) (* 0 (log PI))) into (- (* 1/2 (log PI))) 15.945 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 15.946 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 n)) into 0 15.947 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 15.947 * [backup-simplify]: Simplify (- 1) into -1 15.947 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.948 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 15.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 15.949 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 15.952 * [backup-simplify]: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 15.954 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 15.954 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 15.955 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 15.955 * [taylor]: Taking taylor expansion of +nan.0 in n 15.955 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.955 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 15.955 * [taylor]: Taking taylor expansion of (sqrt 2) in n 15.955 * [taylor]: Taking taylor expansion of 2 in n 15.955 * [backup-simplify]: Simplify 2 into 2 15.955 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 15.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 15.956 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 15.956 * [taylor]: Taking taylor expansion of (* n PI) in n 15.956 * [taylor]: Taking taylor expansion of n in n 15.956 * [backup-simplify]: Simplify 0 into 0 15.956 * [backup-simplify]: Simplify 1 into 1 15.956 * [taylor]: Taking taylor expansion of PI in n 15.956 * [backup-simplify]: Simplify PI into PI 15.956 * [backup-simplify]: Simplify (* 0 PI) into 0 15.960 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.961 * [backup-simplify]: Simplify (sqrt 0) into 0 15.962 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 15.963 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 15.963 * [backup-simplify]: Simplify (* +nan.0 0) into 0 15.964 * [backup-simplify]: Simplify (- 0) into 0 15.964 * [backup-simplify]: Simplify 0 into 0 15.964 * [backup-simplify]: Simplify 0 into 0 15.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.967 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 15.970 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 15.970 * [backup-simplify]: Simplify (- 0) into 0 15.971 * [backup-simplify]: Simplify (+ 0 0) into 0 15.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log PI)))) into 0 15.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log PI))) (* 0 (log PI)))) into 0 15.986 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 15.987 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 15.988 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 15.989 * [backup-simplify]: Simplify (- 0) into 0 15.989 * [backup-simplify]: Simplify (+ 0 0) into 0 15.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 15.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 15.992 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 15.998 * [backup-simplify]: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 16.002 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 16.002 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 16.002 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 16.002 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 16.002 * [taylor]: Taking taylor expansion of +nan.0 in n 16.002 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.002 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 16.002 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 16.002 * [taylor]: Taking taylor expansion of (sqrt 2) in n 16.002 * [taylor]: Taking taylor expansion of 2 in n 16.002 * [backup-simplify]: Simplify 2 into 2 16.002 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 16.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 16.003 * [taylor]: Taking taylor expansion of (log PI) in n 16.003 * [taylor]: Taking taylor expansion of PI in n 16.003 * [backup-simplify]: Simplify PI into PI 16.003 * [backup-simplify]: Simplify (log PI) into (log PI) 16.003 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 16.003 * [taylor]: Taking taylor expansion of (* PI n) in n 16.003 * [taylor]: Taking taylor expansion of PI in n 16.003 * [backup-simplify]: Simplify PI into PI 16.003 * [taylor]: Taking taylor expansion of n in n 16.003 * [backup-simplify]: Simplify 0 into 0 16.003 * [backup-simplify]: Simplify 1 into 1 16.003 * [backup-simplify]: Simplify (* PI 0) into 0 16.004 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 16.004 * [backup-simplify]: Simplify (sqrt 0) into 0 16.005 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 16.005 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 16.005 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 16.005 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 16.005 * [taylor]: Taking taylor expansion of +nan.0 in n 16.005 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.005 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 16.005 * [taylor]: Taking taylor expansion of (sqrt 2) in n 16.006 * [taylor]: Taking taylor expansion of 2 in n 16.006 * [backup-simplify]: Simplify 2 into 2 16.006 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 16.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 16.006 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 16.006 * [taylor]: Taking taylor expansion of (* n PI) in n 16.006 * [taylor]: Taking taylor expansion of n in n 16.006 * [backup-simplify]: Simplify 0 into 0 16.006 * [backup-simplify]: Simplify 1 into 1 16.006 * [taylor]: Taking taylor expansion of PI in n 16.006 * [backup-simplify]: Simplify PI into PI 16.007 * [backup-simplify]: Simplify (* 0 PI) into 0 16.007 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.008 * [backup-simplify]: Simplify (sqrt 0) into 0 16.008 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 16.008 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 16.008 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 16.009 * [taylor]: Taking taylor expansion of +nan.0 in n 16.009 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.009 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 16.009 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 16.009 * [taylor]: Taking taylor expansion of (sqrt 2) in n 16.009 * [taylor]: Taking taylor expansion of 2 in n 16.009 * [backup-simplify]: Simplify 2 into 2 16.009 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 16.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 16.009 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 16.009 * [taylor]: Taking taylor expansion of (* 2 n) in n 16.009 * [taylor]: Taking taylor expansion of 2 in n 16.009 * [backup-simplify]: Simplify 2 into 2 16.009 * [taylor]: Taking taylor expansion of n in n 16.009 * [backup-simplify]: Simplify 0 into 0 16.009 * [backup-simplify]: Simplify 1 into 1 16.010 * [backup-simplify]: Simplify (* 2 0) into 0 16.010 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 16.011 * [backup-simplify]: Simplify (log 2) into (log 2) 16.011 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 16.011 * [taylor]: Taking taylor expansion of (* PI n) in n 16.011 * [taylor]: Taking taylor expansion of PI in n 16.011 * [backup-simplify]: Simplify PI into PI 16.011 * [taylor]: Taking taylor expansion of n in n 16.011 * [backup-simplify]: Simplify 0 into 0 16.011 * [backup-simplify]: Simplify 1 into 1 16.011 * [backup-simplify]: Simplify (* PI 0) into 0 16.012 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 16.012 * [backup-simplify]: Simplify (sqrt 0) into 0 16.013 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 16.014 * [backup-simplify]: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 16.014 * [backup-simplify]: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 16.015 * [backup-simplify]: Simplify (* +nan.0 0) into 0 16.015 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 16.015 * [backup-simplify]: Simplify (* +nan.0 0) into 0 16.016 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.016 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 16.017 * [backup-simplify]: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 16.017 * [backup-simplify]: Simplify (* +nan.0 0) into 0 16.017 * [backup-simplify]: Simplify (- 0) into 0 16.018 * [backup-simplify]: Simplify (+ 0 0) into 0 16.018 * [backup-simplify]: Simplify (- 0) into 0 16.018 * [backup-simplify]: Simplify (+ 0 0) into 0 16.018 * [backup-simplify]: Simplify (- 0) into 0 16.018 * [backup-simplify]: Simplify 0 into 0 16.020 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 16.023 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 16.025 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 16.026 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 16.026 * [backup-simplify]: Simplify 0 into 0 16.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.029 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.032 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 16.033 * [backup-simplify]: Simplify (- 0) into 0 16.033 * [backup-simplify]: Simplify (+ 0 0) into 0 16.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log PI))))) into 0 16.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log PI))) (* 0 (log PI))))) into 0 16.048 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 16.049 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 16.052 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 16.052 * [backup-simplify]: Simplify (- 0) into 0 16.053 * [backup-simplify]: Simplify (+ 0 0) into 0 16.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 16.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 16.057 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 16.067 * [backup-simplify]: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 16.083 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 16.084 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 16.084 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 16.084 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 16.084 * [taylor]: Taking taylor expansion of +nan.0 in n 16.084 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.084 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 16.084 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 16.084 * [taylor]: Taking taylor expansion of (sqrt 2) in n 16.084 * [taylor]: Taking taylor expansion of 2 in n 16.084 * [backup-simplify]: Simplify 2 into 2 16.084 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 16.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 16.085 * [taylor]: Taking taylor expansion of (log PI) in n 16.085 * [taylor]: Taking taylor expansion of PI in n 16.085 * [backup-simplify]: Simplify PI into PI 16.085 * [backup-simplify]: Simplify (log PI) into (log PI) 16.085 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 16.086 * [taylor]: Taking taylor expansion of (* PI n) in n 16.086 * [taylor]: Taking taylor expansion of PI in n 16.086 * [backup-simplify]: Simplify PI into PI 16.086 * [taylor]: Taking taylor expansion of n in n 16.086 * [backup-simplify]: Simplify 0 into 0 16.086 * [backup-simplify]: Simplify 1 into 1 16.086 * [backup-simplify]: Simplify (* PI 0) into 0 16.087 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 16.088 * [backup-simplify]: Simplify (sqrt 0) into 0 16.089 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 16.089 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 16.089 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 16.090 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 16.090 * [taylor]: Taking taylor expansion of +nan.0 in n 16.090 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.090 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 16.090 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 16.090 * [taylor]: Taking taylor expansion of (sqrt 2) in n 16.090 * [taylor]: Taking taylor expansion of 2 in n 16.090 * [backup-simplify]: Simplify 2 into 2 16.090 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 16.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 16.091 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 16.091 * [taylor]: Taking taylor expansion of (log PI) in n 16.091 * [taylor]: Taking taylor expansion of PI in n 16.091 * [backup-simplify]: Simplify PI into PI 16.091 * [backup-simplify]: Simplify (log PI) into (log PI) 16.091 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 16.091 * [taylor]: Taking taylor expansion of (* PI n) in n 16.091 * [taylor]: Taking taylor expansion of PI in n 16.091 * [backup-simplify]: Simplify PI into PI 16.091 * [taylor]: Taking taylor expansion of n in n 16.091 * [backup-simplify]: Simplify 0 into 0 16.091 * [backup-simplify]: Simplify 1 into 1 16.092 * [backup-simplify]: Simplify (* PI 0) into 0 16.093 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 16.093 * [backup-simplify]: Simplify (sqrt 0) into 0 16.095 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 16.095 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 16.095 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 16.095 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 16.095 * [taylor]: Taking taylor expansion of +nan.0 in n 16.095 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.095 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 16.095 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 16.095 * [taylor]: Taking taylor expansion of (sqrt 2) in n 16.095 * [taylor]: Taking taylor expansion of 2 in n 16.095 * [backup-simplify]: Simplify 2 into 2 16.095 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 16.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 16.096 * [taylor]: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 16.096 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 16.096 * [taylor]: Taking taylor expansion of (* 2 n) in n 16.096 * [taylor]: Taking taylor expansion of 2 in n 16.096 * [backup-simplify]: Simplify 2 into 2 16.096 * [taylor]: Taking taylor expansion of n in n 16.096 * [backup-simplify]: Simplify 0 into 0 16.096 * [backup-simplify]: Simplify 1 into 1 16.096 * [backup-simplify]: Simplify (* 2 0) into 0 16.097 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 16.098 * [backup-simplify]: Simplify (log 2) into (log 2) 16.098 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.099 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 16.099 * [taylor]: Taking taylor expansion of (* PI n) in n 16.099 * [taylor]: Taking taylor expansion of PI in n 16.099 * [backup-simplify]: Simplify PI into PI 16.099 * [taylor]: Taking taylor expansion of n in n 16.099 * [backup-simplify]: Simplify 0 into 0 16.099 * [backup-simplify]: Simplify 1 into 1 16.099 * [backup-simplify]: Simplify (* PI 0) into 0 16.101 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 16.101 * [backup-simplify]: Simplify (sqrt 0) into 0 16.103 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 16.103 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 16.103 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 16.103 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 16.103 * [taylor]: Taking taylor expansion of +nan.0 in n 16.103 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.103 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 16.103 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 16.103 * [taylor]: Taking taylor expansion of (sqrt 2) in n 16.103 * [taylor]: Taking taylor expansion of 2 in n 16.103 * [backup-simplify]: Simplify 2 into 2 16.104 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 16.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 16.105 * [taylor]: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 16.105 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 16.105 * [taylor]: Taking taylor expansion of (* 2 n) in n 16.105 * [taylor]: Taking taylor expansion of 2 in n 16.105 * [backup-simplify]: Simplify 2 into 2 16.105 * [taylor]: Taking taylor expansion of n in n 16.105 * [backup-simplify]: Simplify 0 into 0 16.105 * [backup-simplify]: Simplify 1 into 1 16.105 * [backup-simplify]: Simplify (* 2 0) into 0 16.106 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 16.106 * [backup-simplify]: Simplify (log 2) into (log 2) 16.107 * [taylor]: Taking taylor expansion of (log PI) in n 16.107 * [taylor]: Taking taylor expansion of PI in n 16.107 * [backup-simplify]: Simplify PI into PI 16.107 * [backup-simplify]: Simplify (log PI) into (log PI) 16.107 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 16.107 * [taylor]: Taking taylor expansion of (* n PI) in n 16.107 * [taylor]: Taking taylor expansion of n in n 16.107 * [backup-simplify]: Simplify 0 into 0 16.107 * [backup-simplify]: Simplify 1 into 1 16.107 * [taylor]: Taking taylor expansion of PI in n 16.107 * [backup-simplify]: Simplify PI into PI 16.108 * [backup-simplify]: Simplify (* 0 PI) into 0 16.109 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.110 * [backup-simplify]: Simplify (sqrt 0) into 0 16.111 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 16.111 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 16.111 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 16.111 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 16.111 * [taylor]: Taking taylor expansion of +nan.0 in n 16.111 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.111 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 16.112 * [taylor]: Taking taylor expansion of (sqrt 2) in n 16.112 * [taylor]: Taking taylor expansion of 2 in n 16.112 * [backup-simplify]: Simplify 2 into 2 16.112 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 16.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 16.113 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 16.113 * [taylor]: Taking taylor expansion of (* n PI) in n 16.113 * [taylor]: Taking taylor expansion of n in n 16.113 * [backup-simplify]: Simplify 0 into 0 16.113 * [backup-simplify]: Simplify 1 into 1 16.113 * [taylor]: Taking taylor expansion of PI in n 16.113 * [backup-simplify]: Simplify PI into PI 16.113 * [backup-simplify]: Simplify (* 0 PI) into 0 16.115 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.115 * [backup-simplify]: Simplify (sqrt 0) into 0 16.116 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 16.116 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 16.117 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 16.117 * [taylor]: Taking taylor expansion of +nan.0 in n 16.117 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.117 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 16.117 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 16.117 * [taylor]: Taking taylor expansion of (sqrt 2) in n 16.117 * [taylor]: Taking taylor expansion of 2 in n 16.117 * [backup-simplify]: Simplify 2 into 2 16.117 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 16.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 16.118 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 16.118 * [taylor]: Taking taylor expansion of (* 2 n) in n 16.118 * [taylor]: Taking taylor expansion of 2 in n 16.118 * [backup-simplify]: Simplify 2 into 2 16.118 * [taylor]: Taking taylor expansion of n in n 16.118 * [backup-simplify]: Simplify 0 into 0 16.118 * [backup-simplify]: Simplify 1 into 1 16.119 * [backup-simplify]: Simplify (* 2 0) into 0 16.119 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 16.120 * [backup-simplify]: Simplify (log 2) into (log 2) 16.120 * [taylor]: Taking taylor expansion of (sqrt (* PI n)) in n 16.120 * [taylor]: Taking taylor expansion of (* PI n) in n 16.120 * [taylor]: Taking taylor expansion of PI in n 16.120 * [backup-simplify]: Simplify PI into PI 16.120 * [taylor]: Taking taylor expansion of n in n 16.120 * [backup-simplify]: Simplify 0 into 0 16.120 * [backup-simplify]: Simplify 1 into 1 16.120 * [backup-simplify]: Simplify (* PI 0) into 0 16.122 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 16.122 * [backup-simplify]: Simplify (sqrt 0) into 0 16.124 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 16.125 * [backup-simplify]: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 16.126 * [backup-simplify]: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 16.126 * [backup-simplify]: Simplify (* +nan.0 0) into 0 16.127 * [backup-simplify]: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 16.129 * [backup-simplify]: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 16.130 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 16.131 * [backup-simplify]: Simplify (* +nan.0 0) into 0 16.132 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.132 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.133 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 16.134 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 16.135 * [backup-simplify]: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 16.135 * [backup-simplify]: Simplify (* +nan.0 0) into 0 16.136 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.137 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 16.138 * [backup-simplify]: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 16.140 * [backup-simplify]: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 16.140 * [backup-simplify]: Simplify (* +nan.0 0) into 0 16.141 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 16.141 * [backup-simplify]: Simplify (* +nan.0 0) into 0 16.142 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.143 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 16.144 * [backup-simplify]: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 16.144 * [backup-simplify]: Simplify (* +nan.0 0) into 0 16.144 * [backup-simplify]: Simplify (- 0) into 0 16.145 * [backup-simplify]: Simplify (+ 0 0) into 0 16.145 * [backup-simplify]: Simplify (- 0) into 0 16.145 * [backup-simplify]: Simplify (+ 0 0) into 0 16.145 * [backup-simplify]: Simplify (- 0) into 0 16.146 * [backup-simplify]: Simplify (+ 0 0) into 0 16.146 * [backup-simplify]: Simplify (- 0) into 0 16.146 * [backup-simplify]: Simplify (+ 0 0) into 0 16.146 * [backup-simplify]: Simplify (- 0) into 0 16.147 * [backup-simplify]: Simplify (+ 0 0) into 0 16.147 * [backup-simplify]: Simplify (- 0) into 0 16.147 * [backup-simplify]: Simplify 0 into 0 16.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 16.148 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 16.151 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 16.155 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 16.157 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 16.160 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 16.160 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 16.161 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 16.162 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.162 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 16.163 * [backup-simplify]: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 16.166 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 16.169 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 16.173 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 16.180 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 16.196 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 16.213 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 16.232 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 16.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 16.238 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 16.239 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 16.244 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 16.252 * [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)))) 16.256 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 16.260 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 16.283 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +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) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 16.284 * [backup-simplify]: Simplify (* (exp (* (/ (- 1 (/ 1 k)) 2) (log PI))) (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2))))) into (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) 16.284 * [approximate]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in (k n) around 0 16.284 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in n 16.284 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) in n 16.284 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in n 16.284 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in n 16.285 * [taylor]: Taking taylor expansion of 1/2 in n 16.285 * [backup-simplify]: Simplify 1/2 into 1/2 16.285 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in n 16.285 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 16.285 * [taylor]: Taking taylor expansion of 1 in n 16.285 * [backup-simplify]: Simplify 1 into 1 16.285 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.285 * [taylor]: Taking taylor expansion of k in n 16.285 * [backup-simplify]: Simplify k into k 16.285 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.285 * [taylor]: Taking taylor expansion of (log PI) in n 16.285 * [taylor]: Taking taylor expansion of PI in n 16.285 * [backup-simplify]: Simplify PI into PI 16.285 * [backup-simplify]: Simplify (log PI) into (log PI) 16.285 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.285 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 16.286 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log PI)) into (* (- 1 (/ 1 k)) (log PI)) 16.286 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (log PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 16.287 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 16.287 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in n 16.287 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in n 16.287 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in n 16.287 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 16.287 * [taylor]: Taking taylor expansion of 1/2 in n 16.287 * [backup-simplify]: Simplify 1/2 into 1/2 16.287 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 16.287 * [taylor]: Taking taylor expansion of 1 in n 16.287 * [backup-simplify]: Simplify 1 into 1 16.287 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.287 * [taylor]: Taking taylor expansion of k in n 16.287 * [backup-simplify]: Simplify k into k 16.287 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.287 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 16.287 * [taylor]: Taking taylor expansion of (/ 2 n) in n 16.287 * [taylor]: Taking taylor expansion of 2 in n 16.287 * [backup-simplify]: Simplify 2 into 2 16.287 * [taylor]: Taking taylor expansion of n in n 16.287 * [backup-simplify]: Simplify 0 into 0 16.287 * [backup-simplify]: Simplify 1 into 1 16.288 * [backup-simplify]: Simplify (/ 2 1) into 2 16.288 * [backup-simplify]: Simplify (log 2) into (log 2) 16.288 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.288 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 16.289 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 16.289 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 16.290 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 16.290 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 16.290 * [taylor]: Taking taylor expansion of (sqrt k) in n 16.290 * [taylor]: Taking taylor expansion of k in n 16.291 * [backup-simplify]: Simplify k into k 16.291 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 16.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 16.291 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in k 16.291 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) in k 16.291 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in k 16.291 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in k 16.291 * [taylor]: Taking taylor expansion of 1/2 in k 16.291 * [backup-simplify]: Simplify 1/2 into 1/2 16.291 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in k 16.291 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 16.291 * [taylor]: Taking taylor expansion of 1 in k 16.291 * [backup-simplify]: Simplify 1 into 1 16.291 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.291 * [taylor]: Taking taylor expansion of k in k 16.291 * [backup-simplify]: Simplify 0 into 0 16.291 * [backup-simplify]: Simplify 1 into 1 16.291 * [backup-simplify]: Simplify (/ 1 1) into 1 16.291 * [taylor]: Taking taylor expansion of (log PI) in k 16.291 * [taylor]: Taking taylor expansion of PI in k 16.291 * [backup-simplify]: Simplify PI into PI 16.292 * [backup-simplify]: Simplify (log PI) into (log PI) 16.292 * [backup-simplify]: Simplify (- 1) into -1 16.293 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.294 * [backup-simplify]: Simplify (* -1 (log PI)) into (* -1 (log PI)) 16.295 * [backup-simplify]: Simplify (* 1/2 (* -1 (log PI))) into (* -1/2 (log PI)) 16.296 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 16.296 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in k 16.296 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in k 16.296 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in k 16.296 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 16.296 * [taylor]: Taking taylor expansion of 1/2 in k 16.296 * [backup-simplify]: Simplify 1/2 into 1/2 16.296 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 16.296 * [taylor]: Taking taylor expansion of 1 in k 16.296 * [backup-simplify]: Simplify 1 into 1 16.296 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.296 * [taylor]: Taking taylor expansion of k in k 16.296 * [backup-simplify]: Simplify 0 into 0 16.296 * [backup-simplify]: Simplify 1 into 1 16.297 * [backup-simplify]: Simplify (/ 1 1) into 1 16.297 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k 16.297 * [taylor]: Taking taylor expansion of (/ 2 n) in k 16.297 * [taylor]: Taking taylor expansion of 2 in k 16.297 * [backup-simplify]: Simplify 2 into 2 16.297 * [taylor]: Taking taylor expansion of n in k 16.297 * [backup-simplify]: Simplify n into n 16.297 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n) 16.297 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n)) 16.297 * [backup-simplify]: Simplify (- 1) into -1 16.298 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.298 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 16.298 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 16.298 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) 16.298 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.298 * [taylor]: Taking taylor expansion of k in k 16.298 * [backup-simplify]: Simplify 0 into 0 16.298 * [backup-simplify]: Simplify 1 into 1 16.299 * [backup-simplify]: Simplify (sqrt 0) into 0 16.300 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.300 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in k 16.300 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) in k 16.300 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in k 16.300 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in k 16.300 * [taylor]: Taking taylor expansion of 1/2 in k 16.300 * [backup-simplify]: Simplify 1/2 into 1/2 16.300 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in k 16.300 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 16.300 * [taylor]: Taking taylor expansion of 1 in k 16.300 * [backup-simplify]: Simplify 1 into 1 16.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.300 * [taylor]: Taking taylor expansion of k in k 16.300 * [backup-simplify]: Simplify 0 into 0 16.301 * [backup-simplify]: Simplify 1 into 1 16.301 * [backup-simplify]: Simplify (/ 1 1) into 1 16.301 * [taylor]: Taking taylor expansion of (log PI) in k 16.301 * [taylor]: Taking taylor expansion of PI in k 16.301 * [backup-simplify]: Simplify PI into PI 16.301 * [backup-simplify]: Simplify (log PI) into (log PI) 16.302 * [backup-simplify]: Simplify (- 1) into -1 16.302 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.303 * [backup-simplify]: Simplify (* -1 (log PI)) into (* -1 (log PI)) 16.305 * [backup-simplify]: Simplify (* 1/2 (* -1 (log PI))) into (* -1/2 (log PI)) 16.305 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 16.305 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in k 16.305 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in k 16.305 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in k 16.305 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 16.305 * [taylor]: Taking taylor expansion of 1/2 in k 16.305 * [backup-simplify]: Simplify 1/2 into 1/2 16.305 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 16.305 * [taylor]: Taking taylor expansion of 1 in k 16.305 * [backup-simplify]: Simplify 1 into 1 16.305 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.306 * [taylor]: Taking taylor expansion of k in k 16.306 * [backup-simplify]: Simplify 0 into 0 16.306 * [backup-simplify]: Simplify 1 into 1 16.306 * [backup-simplify]: Simplify (/ 1 1) into 1 16.306 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k 16.306 * [taylor]: Taking taylor expansion of (/ 2 n) in k 16.306 * [taylor]: Taking taylor expansion of 2 in k 16.306 * [backup-simplify]: Simplify 2 into 2 16.306 * [taylor]: Taking taylor expansion of n in k 16.306 * [backup-simplify]: Simplify n into n 16.306 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n) 16.306 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n)) 16.307 * [backup-simplify]: Simplify (- 1) into -1 16.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.307 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 16.308 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 16.308 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) 16.308 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.308 * [taylor]: Taking taylor expansion of k in k 16.308 * [backup-simplify]: Simplify 0 into 0 16.308 * [backup-simplify]: Simplify 1 into 1 16.308 * [backup-simplify]: Simplify (sqrt 0) into 0 16.309 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.310 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) 16.310 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) 0) into 0 16.310 * [taylor]: Taking taylor expansion of 0 in n 16.310 * [backup-simplify]: Simplify 0 into 0 16.310 * [backup-simplify]: Simplify 0 into 0 16.311 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) into 0 16.311 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) 16.311 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) in n 16.311 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) in n 16.311 * [taylor]: Taking taylor expansion of +nan.0 in n 16.311 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.311 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) in n 16.311 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in n 16.311 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in n 16.311 * [taylor]: Taking taylor expansion of 1/2 in n 16.311 * [backup-simplify]: Simplify 1/2 into 1/2 16.311 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in n 16.311 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 16.311 * [taylor]: Taking taylor expansion of 1 in n 16.311 * [backup-simplify]: Simplify 1 into 1 16.311 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.311 * [taylor]: Taking taylor expansion of k in n 16.312 * [backup-simplify]: Simplify k into k 16.312 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.312 * [taylor]: Taking taylor expansion of (log PI) in n 16.312 * [taylor]: Taking taylor expansion of PI in n 16.312 * [backup-simplify]: Simplify PI into PI 16.312 * [backup-simplify]: Simplify (log PI) into (log PI) 16.312 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.312 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 16.312 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log PI)) into (* (- 1 (/ 1 k)) (log PI)) 16.313 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (log PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 16.313 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 16.313 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) in n 16.313 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))) in n 16.313 * [taylor]: Taking taylor expansion of 1/2 in n 16.313 * [backup-simplify]: Simplify 1/2 into 1/2 16.313 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 2 n))) in n 16.313 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 16.313 * [taylor]: Taking taylor expansion of 1 in n 16.313 * [backup-simplify]: Simplify 1 into 1 16.313 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.313 * [taylor]: Taking taylor expansion of k in n 16.313 * [backup-simplify]: Simplify k into k 16.313 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.313 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 16.313 * [taylor]: Taking taylor expansion of (/ 2 n) in n 16.313 * [taylor]: Taking taylor expansion of 2 in n 16.313 * [backup-simplify]: Simplify 2 into 2 16.313 * [taylor]: Taking taylor expansion of n in n 16.313 * [backup-simplify]: Simplify 0 into 0 16.313 * [backup-simplify]: Simplify 1 into 1 16.313 * [backup-simplify]: Simplify (/ 2 1) into 2 16.314 * [backup-simplify]: Simplify (log 2) into (log 2) 16.314 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.314 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 16.314 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 16.315 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log 2) (log n))) into (* (- 1 (/ 1 k)) (- (log 2) (log n))) 16.315 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 16.315 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 16.316 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 16.316 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 16.317 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 16.318 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 16.318 * [backup-simplify]: Simplify 0 into 0 16.322 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.323 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) into 0 16.324 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) 16.324 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) in n 16.324 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) in n 16.324 * [taylor]: Taking taylor expansion of +nan.0 in n 16.324 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.324 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) in n 16.324 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in n 16.324 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in n 16.324 * [taylor]: Taking taylor expansion of 1/2 in n 16.324 * [backup-simplify]: Simplify 1/2 into 1/2 16.324 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in n 16.324 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 16.324 * [taylor]: Taking taylor expansion of 1 in n 16.324 * [backup-simplify]: Simplify 1 into 1 16.324 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.324 * [taylor]: Taking taylor expansion of k in n 16.324 * [backup-simplify]: Simplify k into k 16.324 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.324 * [taylor]: Taking taylor expansion of (log PI) in n 16.324 * [taylor]: Taking taylor expansion of PI in n 16.324 * [backup-simplify]: Simplify PI into PI 16.324 * [backup-simplify]: Simplify (log PI) into (log PI) 16.324 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.325 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 16.325 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log PI)) into (* (- 1 (/ 1 k)) (log PI)) 16.325 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (log PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 16.325 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 16.325 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) in n 16.326 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))) in n 16.326 * [taylor]: Taking taylor expansion of 1/2 in n 16.326 * [backup-simplify]: Simplify 1/2 into 1/2 16.326 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 2 n))) in n 16.326 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 16.326 * [taylor]: Taking taylor expansion of 1 in n 16.326 * [backup-simplify]: Simplify 1 into 1 16.326 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.326 * [taylor]: Taking taylor expansion of k in n 16.326 * [backup-simplify]: Simplify k into k 16.326 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.326 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 16.326 * [taylor]: Taking taylor expansion of (/ 2 n) in n 16.326 * [taylor]: Taking taylor expansion of 2 in n 16.326 * [backup-simplify]: Simplify 2 into 2 16.326 * [taylor]: Taking taylor expansion of n in n 16.326 * [backup-simplify]: Simplify 0 into 0 16.326 * [backup-simplify]: Simplify 1 into 1 16.326 * [backup-simplify]: Simplify (/ 2 1) into 2 16.326 * [backup-simplify]: Simplify (log 2) into (log 2) 16.326 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.326 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 16.327 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 16.327 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log 2) (log n))) into (* (- 1 (/ 1 k)) (- (log 2) (log n))) 16.328 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 16.328 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 16.329 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 16.329 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 16.330 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 16.331 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 16.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 16.332 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 16.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.333 * [backup-simplify]: Simplify (- 0) into 0 16.333 * [backup-simplify]: Simplify (+ 0 0) into 0 16.333 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 16.334 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log 2) (log n)))) into 0 16.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into 0 16.335 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 16.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.336 * [backup-simplify]: Simplify (- 0) into 0 16.336 * [backup-simplify]: Simplify (+ 0 0) into 0 16.337 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (log PI))) into 0 16.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (log PI)))) into 0 16.338 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.339 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into 0 16.340 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into 0 16.340 * [backup-simplify]: Simplify (- 0) into 0 16.340 * [backup-simplify]: Simplify 0 into 0 16.340 * [backup-simplify]: Simplify 0 into 0 16.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.343 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))))) into 0 16.344 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) 16.344 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) in n 16.344 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) in n 16.344 * [taylor]: Taking taylor expansion of +nan.0 in n 16.344 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.344 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) in n 16.344 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in n 16.344 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in n 16.344 * [taylor]: Taking taylor expansion of 1/2 in n 16.344 * [backup-simplify]: Simplify 1/2 into 1/2 16.344 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in n 16.344 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 16.344 * [taylor]: Taking taylor expansion of 1 in n 16.344 * [backup-simplify]: Simplify 1 into 1 16.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.344 * [taylor]: Taking taylor expansion of k in n 16.344 * [backup-simplify]: Simplify k into k 16.344 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.344 * [taylor]: Taking taylor expansion of (log PI) in n 16.344 * [taylor]: Taking taylor expansion of PI in n 16.344 * [backup-simplify]: Simplify PI into PI 16.345 * [backup-simplify]: Simplify (log PI) into (log PI) 16.345 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.345 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 16.345 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log PI)) into (* (- 1 (/ 1 k)) (log PI)) 16.346 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (log PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 16.346 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 16.346 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) in n 16.346 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))) in n 16.346 * [taylor]: Taking taylor expansion of 1/2 in n 16.346 * [backup-simplify]: Simplify 1/2 into 1/2 16.346 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 2 n))) in n 16.346 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 16.346 * [taylor]: Taking taylor expansion of 1 in n 16.346 * [backup-simplify]: Simplify 1 into 1 16.346 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.346 * [taylor]: Taking taylor expansion of k in n 16.346 * [backup-simplify]: Simplify k into k 16.347 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.347 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 16.347 * [taylor]: Taking taylor expansion of (/ 2 n) in n 16.347 * [taylor]: Taking taylor expansion of 2 in n 16.347 * [backup-simplify]: Simplify 2 into 2 16.347 * [taylor]: Taking taylor expansion of n in n 16.347 * [backup-simplify]: Simplify 0 into 0 16.347 * [backup-simplify]: Simplify 1 into 1 16.347 * [backup-simplify]: Simplify (/ 2 1) into 2 16.347 * [backup-simplify]: Simplify (log 2) into (log 2) 16.348 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.348 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 16.348 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 16.349 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log 2) (log n))) into (* (- 1 (/ 1 k)) (- (log 2) (log n))) 16.349 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 16.350 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 16.351 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 16.352 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 16.353 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 16.354 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 16.358 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n))))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 3)))))))) 16.358 * [backup-simplify]: Simplify (* (exp (* (/ (- 1 (/ 1 (- k))) 2) (log PI))) (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2))))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) 16.358 * [approximate]: Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in (k n) around 0 16.359 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in n 16.359 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) in n 16.359 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in n 16.359 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in n 16.359 * [taylor]: Taking taylor expansion of 1/2 in n 16.359 * [backup-simplify]: Simplify 1/2 into 1/2 16.359 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in n 16.359 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 16.359 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.359 * [taylor]: Taking taylor expansion of k in n 16.359 * [backup-simplify]: Simplify k into k 16.359 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.359 * [taylor]: Taking taylor expansion of 1 in n 16.359 * [backup-simplify]: Simplify 1 into 1 16.359 * [taylor]: Taking taylor expansion of (log PI) in n 16.359 * [taylor]: Taking taylor expansion of PI in n 16.359 * [backup-simplify]: Simplify PI into PI 16.359 * [backup-simplify]: Simplify (log PI) into (log PI) 16.359 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 16.360 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log PI)) into (* (+ (/ 1 k) 1) (log PI)) 16.360 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (log PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 16.361 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 16.361 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in n 16.361 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in n 16.361 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in n 16.361 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 16.361 * [taylor]: Taking taylor expansion of 1/2 in n 16.361 * [backup-simplify]: Simplify 1/2 into 1/2 16.361 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 16.361 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.361 * [taylor]: Taking taylor expansion of k in n 16.361 * [backup-simplify]: Simplify k into k 16.361 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.361 * [taylor]: Taking taylor expansion of 1 in n 16.361 * [backup-simplify]: Simplify 1 into 1 16.361 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 16.361 * [taylor]: Taking taylor expansion of (/ -2 n) in n 16.361 * [taylor]: Taking taylor expansion of -2 in n 16.361 * [backup-simplify]: Simplify -2 into -2 16.361 * [taylor]: Taking taylor expansion of n in n 16.361 * [backup-simplify]: Simplify 0 into 0 16.361 * [backup-simplify]: Simplify 1 into 1 16.362 * [backup-simplify]: Simplify (/ -2 1) into -2 16.362 * [backup-simplify]: Simplify (log -2) into (log -2) 16.362 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 16.362 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 16.363 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 16.363 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 16.364 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 16.364 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 16.364 * [taylor]: Taking taylor expansion of (/ -1 k) in n 16.364 * [taylor]: Taking taylor expansion of -1 in n 16.364 * [backup-simplify]: Simplify -1 into -1 16.364 * [taylor]: Taking taylor expansion of k in n 16.364 * [backup-simplify]: Simplify k into k 16.364 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 16.364 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 16.364 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 16.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 16.365 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 16.366 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) (sqrt (/ -1 k))) 16.366 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in k 16.366 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) in k 16.366 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in k 16.366 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in k 16.366 * [taylor]: Taking taylor expansion of 1/2 in k 16.366 * [backup-simplify]: Simplify 1/2 into 1/2 16.366 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in k 16.367 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 16.367 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.367 * [taylor]: Taking taylor expansion of k in k 16.367 * [backup-simplify]: Simplify 0 into 0 16.367 * [backup-simplify]: Simplify 1 into 1 16.367 * [backup-simplify]: Simplify (/ 1 1) into 1 16.367 * [taylor]: Taking taylor expansion of 1 in k 16.367 * [backup-simplify]: Simplify 1 into 1 16.367 * [taylor]: Taking taylor expansion of (log PI) in k 16.367 * [taylor]: Taking taylor expansion of PI in k 16.367 * [backup-simplify]: Simplify PI into PI 16.367 * [backup-simplify]: Simplify (log PI) into (log PI) 16.368 * [backup-simplify]: Simplify (+ 1 0) into 1 16.369 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 16.370 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 16.371 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 16.371 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in k 16.371 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in k 16.371 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in k 16.371 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 16.371 * [taylor]: Taking taylor expansion of 1/2 in k 16.371 * [backup-simplify]: Simplify 1/2 into 1/2 16.371 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 16.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.371 * [taylor]: Taking taylor expansion of k in k 16.371 * [backup-simplify]: Simplify 0 into 0 16.371 * [backup-simplify]: Simplify 1 into 1 16.371 * [backup-simplify]: Simplify (/ 1 1) into 1 16.371 * [taylor]: Taking taylor expansion of 1 in k 16.371 * [backup-simplify]: Simplify 1 into 1 16.371 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k 16.371 * [taylor]: Taking taylor expansion of (/ -2 n) in k 16.372 * [taylor]: Taking taylor expansion of -2 in k 16.372 * [backup-simplify]: Simplify -2 into -2 16.372 * [taylor]: Taking taylor expansion of n in k 16.372 * [backup-simplify]: Simplify n into n 16.372 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 16.372 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n)) 16.372 * [backup-simplify]: Simplify (+ 1 0) into 1 16.373 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 16.373 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 16.373 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) 16.373 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.373 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.373 * [taylor]: Taking taylor expansion of -1 in k 16.373 * [backup-simplify]: Simplify -1 into -1 16.373 * [taylor]: Taking taylor expansion of k in k 16.373 * [backup-simplify]: Simplify 0 into 0 16.373 * [backup-simplify]: Simplify 1 into 1 16.374 * [backup-simplify]: Simplify (/ -1 1) into -1 16.374 * [backup-simplify]: Simplify (sqrt 0) into 0 16.375 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.376 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) 16.377 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) 16.377 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in k 16.377 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) in k 16.377 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in k 16.377 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in k 16.377 * [taylor]: Taking taylor expansion of 1/2 in k 16.377 * [backup-simplify]: Simplify 1/2 into 1/2 16.377 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in k 16.377 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 16.377 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.377 * [taylor]: Taking taylor expansion of k in k 16.377 * [backup-simplify]: Simplify 0 into 0 16.377 * [backup-simplify]: Simplify 1 into 1 16.377 * [backup-simplify]: Simplify (/ 1 1) into 1 16.377 * [taylor]: Taking taylor expansion of 1 in k 16.377 * [backup-simplify]: Simplify 1 into 1 16.377 * [taylor]: Taking taylor expansion of (log PI) in k 16.377 * [taylor]: Taking taylor expansion of PI in k 16.377 * [backup-simplify]: Simplify PI into PI 16.378 * [backup-simplify]: Simplify (log PI) into (log PI) 16.378 * [backup-simplify]: Simplify (+ 1 0) into 1 16.379 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 16.380 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 16.381 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 16.381 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in k 16.381 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in k 16.381 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in k 16.381 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 16.381 * [taylor]: Taking taylor expansion of 1/2 in k 16.381 * [backup-simplify]: Simplify 1/2 into 1/2 16.381 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 16.381 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.381 * [taylor]: Taking taylor expansion of k in k 16.381 * [backup-simplify]: Simplify 0 into 0 16.381 * [backup-simplify]: Simplify 1 into 1 16.381 * [backup-simplify]: Simplify (/ 1 1) into 1 16.381 * [taylor]: Taking taylor expansion of 1 in k 16.381 * [backup-simplify]: Simplify 1 into 1 16.381 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k 16.381 * [taylor]: Taking taylor expansion of (/ -2 n) in k 16.382 * [taylor]: Taking taylor expansion of -2 in k 16.382 * [backup-simplify]: Simplify -2 into -2 16.382 * [taylor]: Taking taylor expansion of n in k 16.382 * [backup-simplify]: Simplify n into n 16.382 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 16.382 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n)) 16.382 * [backup-simplify]: Simplify (+ 1 0) into 1 16.383 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 16.383 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 16.383 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) 16.383 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.383 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.383 * [taylor]: Taking taylor expansion of -1 in k 16.383 * [backup-simplify]: Simplify -1 into -1 16.383 * [taylor]: Taking taylor expansion of k in k 16.383 * [backup-simplify]: Simplify 0 into 0 16.383 * [backup-simplify]: Simplify 1 into 1 16.383 * [backup-simplify]: Simplify (/ -1 1) into -1 16.384 * [backup-simplify]: Simplify (sqrt 0) into 0 16.385 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.386 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) 16.386 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) 16.386 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) in n 16.387 * [taylor]: Taking taylor expansion of +nan.0 in n 16.387 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.387 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) in n 16.387 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in n 16.387 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in n 16.387 * [taylor]: Taking taylor expansion of 1/2 in n 16.387 * [backup-simplify]: Simplify 1/2 into 1/2 16.387 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in n 16.387 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 16.387 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.387 * [taylor]: Taking taylor expansion of k in n 16.387 * [backup-simplify]: Simplify k into k 16.387 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.387 * [taylor]: Taking taylor expansion of 1 in n 16.387 * [backup-simplify]: Simplify 1 into 1 16.387 * [taylor]: Taking taylor expansion of (log PI) in n 16.387 * [taylor]: Taking taylor expansion of PI in n 16.387 * [backup-simplify]: Simplify PI into PI 16.387 * [backup-simplify]: Simplify (log PI) into (log PI) 16.387 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 16.388 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log PI)) into (* (+ (/ 1 k) 1) (log PI)) 16.388 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (log PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 16.389 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 16.389 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) in n 16.389 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))) in n 16.389 * [taylor]: Taking taylor expansion of 1/2 in n 16.389 * [backup-simplify]: Simplify 1/2 into 1/2 16.389 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -2 n))) in n 16.389 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 16.389 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.389 * [taylor]: Taking taylor expansion of k in n 16.389 * [backup-simplify]: Simplify k into k 16.389 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.389 * [taylor]: Taking taylor expansion of 1 in n 16.389 * [backup-simplify]: Simplify 1 into 1 16.389 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 16.389 * [taylor]: Taking taylor expansion of (/ -2 n) in n 16.389 * [taylor]: Taking taylor expansion of -2 in n 16.389 * [backup-simplify]: Simplify -2 into -2 16.389 * [taylor]: Taking taylor expansion of n in n 16.389 * [backup-simplify]: Simplify 0 into 0 16.389 * [backup-simplify]: Simplify 1 into 1 16.390 * [backup-simplify]: Simplify (/ -2 1) into -2 16.390 * [backup-simplify]: Simplify (log -2) into (log -2) 16.390 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 16.391 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 16.391 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -2) (log n))) into (* (+ (/ 1 k) 1) (- (log -2) (log n))) 16.392 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 16.392 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 16.393 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 16.394 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 16.395 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 16.396 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) into 0 16.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.400 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.401 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) 16.401 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) in n 16.401 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) in n 16.401 * [taylor]: Taking taylor expansion of +nan.0 in n 16.401 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.401 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) in n 16.401 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in n 16.402 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in n 16.402 * [taylor]: Taking taylor expansion of 1/2 in n 16.402 * [backup-simplify]: Simplify 1/2 into 1/2 16.402 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in n 16.402 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 16.402 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.402 * [taylor]: Taking taylor expansion of k in n 16.402 * [backup-simplify]: Simplify k into k 16.402 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.402 * [taylor]: Taking taylor expansion of 1 in n 16.402 * [backup-simplify]: Simplify 1 into 1 16.402 * [taylor]: Taking taylor expansion of (log PI) in n 16.402 * [taylor]: Taking taylor expansion of PI in n 16.402 * [backup-simplify]: Simplify PI into PI 16.402 * [backup-simplify]: Simplify (log PI) into (log PI) 16.403 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 16.403 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log PI)) into (* (+ (/ 1 k) 1) (log PI)) 16.403 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (log PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 16.404 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 16.404 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) in n 16.404 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))) in n 16.404 * [taylor]: Taking taylor expansion of 1/2 in n 16.404 * [backup-simplify]: Simplify 1/2 into 1/2 16.404 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -2 n))) in n 16.404 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 16.404 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.404 * [taylor]: Taking taylor expansion of k in n 16.404 * [backup-simplify]: Simplify k into k 16.404 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.404 * [taylor]: Taking taylor expansion of 1 in n 16.404 * [backup-simplify]: Simplify 1 into 1 16.404 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 16.404 * [taylor]: Taking taylor expansion of (/ -2 n) in n 16.404 * [taylor]: Taking taylor expansion of -2 in n 16.404 * [backup-simplify]: Simplify -2 into -2 16.404 * [taylor]: Taking taylor expansion of n in n 16.404 * [backup-simplify]: Simplify 0 into 0 16.404 * [backup-simplify]: Simplify 1 into 1 16.405 * [backup-simplify]: Simplify (/ -2 1) into -2 16.405 * [backup-simplify]: Simplify (log -2) into (log -2) 16.405 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 16.406 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 16.406 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -2) (log n))) into (* (+ (/ 1 k) 1) (- (log -2) (log n))) 16.407 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 16.407 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 16.408 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 16.409 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 16.410 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) 16.411 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) 16.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 16.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 16.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.414 * [backup-simplify]: Simplify (+ 0 0) into 0 16.415 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 16.415 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (- (log -2) (log n)))) into 0 16.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into 0 16.417 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 16.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.419 * [backup-simplify]: Simplify (+ 0 0) into 0 16.420 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (log PI))) into 0 16.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (log PI)))) into 0 16.422 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.423 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into 0 16.424 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into 0 16.424 * [backup-simplify]: Simplify 0 into 0 16.425 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) into 0 16.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.433 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) 16.433 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) in n 16.433 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) in n 16.433 * [taylor]: Taking taylor expansion of +nan.0 in n 16.433 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.433 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) in n 16.433 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in n 16.433 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in n 16.433 * [taylor]: Taking taylor expansion of 1/2 in n 16.433 * [backup-simplify]: Simplify 1/2 into 1/2 16.434 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in n 16.434 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 16.434 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.434 * [taylor]: Taking taylor expansion of k in n 16.434 * [backup-simplify]: Simplify k into k 16.434 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.434 * [taylor]: Taking taylor expansion of 1 in n 16.434 * [backup-simplify]: Simplify 1 into 1 16.434 * [taylor]: Taking taylor expansion of (log PI) in n 16.434 * [taylor]: Taking taylor expansion of PI in n 16.434 * [backup-simplify]: Simplify PI into PI 16.434 * [backup-simplify]: Simplify (log PI) into (log PI) 16.434 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 16.435 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log PI)) into (* (+ (/ 1 k) 1) (log PI)) 16.435 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (log PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 16.436 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 16.436 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) in n 16.436 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))) in n 16.436 * [taylor]: Taking taylor expansion of 1/2 in n 16.436 * [backup-simplify]: Simplify 1/2 into 1/2 16.436 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -2 n))) in n 16.436 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 16.436 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.436 * [taylor]: Taking taylor expansion of k in n 16.436 * [backup-simplify]: Simplify k into k 16.436 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.436 * [taylor]: Taking taylor expansion of 1 in n 16.436 * [backup-simplify]: Simplify 1 into 1 16.436 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 16.436 * [taylor]: Taking taylor expansion of (/ -2 n) in n 16.436 * [taylor]: Taking taylor expansion of -2 in n 16.436 * [backup-simplify]: Simplify -2 into -2 16.436 * [taylor]: Taking taylor expansion of n in n 16.436 * [backup-simplify]: Simplify 0 into 0 16.436 * [backup-simplify]: Simplify 1 into 1 16.437 * [backup-simplify]: Simplify (/ -2 1) into -2 16.437 * [backup-simplify]: Simplify (log -2) into (log -2) 16.437 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 16.438 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 16.438 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -2) (log n))) into (* (+ (/ 1 k) 1) (- (log -2) (log n))) 16.439 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 16.439 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 16.440 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 16.441 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 16.442 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) 16.443 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) 16.450 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n))))))))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2))) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))))))))) 16.450 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 16.451 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))) into (* (/ 1 (pow (* 2 n) (* 1/2 (- 1 k)))) (sqrt k)) 16.451 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (* 1/2 (- 1 k)))) (sqrt k)) in (k n) around 0 16.451 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (* 1/2 (- 1 k)))) (sqrt k)) in n 16.451 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 n) (* 1/2 (- 1 k)))) in n 16.451 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in n 16.451 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in n 16.451 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in n 16.451 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 16.451 * [taylor]: Taking taylor expansion of 1/2 in n 16.451 * [backup-simplify]: Simplify 1/2 into 1/2 16.451 * [taylor]: Taking taylor expansion of (- 1 k) in n 16.451 * [taylor]: Taking taylor expansion of 1 in n 16.451 * [backup-simplify]: Simplify 1 into 1 16.451 * [taylor]: Taking taylor expansion of k in n 16.451 * [backup-simplify]: Simplify k into k 16.451 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 16.451 * [taylor]: Taking taylor expansion of (* 2 n) in n 16.451 * [taylor]: Taking taylor expansion of 2 in n 16.451 * [backup-simplify]: Simplify 2 into 2 16.451 * [taylor]: Taking taylor expansion of n in n 16.451 * [backup-simplify]: Simplify 0 into 0 16.451 * [backup-simplify]: Simplify 1 into 1 16.452 * [backup-simplify]: Simplify (* 2 0) into 0 16.452 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 16.453 * [backup-simplify]: Simplify (log 2) into (log 2) 16.453 * [backup-simplify]: Simplify (- k) into (- k) 16.453 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 16.453 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 16.454 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.454 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) 16.455 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 16.455 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n)))))) 16.455 * [taylor]: Taking taylor expansion of (sqrt k) in n 16.455 * [taylor]: Taking taylor expansion of k in n 16.455 * [backup-simplify]: Simplify k into k 16.455 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 16.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 16.456 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (* 1/2 (- 1 k)))) (sqrt k)) in k 16.456 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 n) (* 1/2 (- 1 k)))) in k 16.456 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in k 16.456 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in k 16.456 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in k 16.456 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 16.456 * [taylor]: Taking taylor expansion of 1/2 in k 16.456 * [backup-simplify]: Simplify 1/2 into 1/2 16.456 * [taylor]: Taking taylor expansion of (- 1 k) in k 16.456 * [taylor]: Taking taylor expansion of 1 in k 16.456 * [backup-simplify]: Simplify 1 into 1 16.456 * [taylor]: Taking taylor expansion of k in k 16.456 * [backup-simplify]: Simplify 0 into 0 16.456 * [backup-simplify]: Simplify 1 into 1 16.456 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k 16.456 * [taylor]: Taking taylor expansion of (* 2 n) in k 16.456 * [taylor]: Taking taylor expansion of 2 in k 16.456 * [backup-simplify]: Simplify 2 into 2 16.456 * [taylor]: Taking taylor expansion of n in k 16.456 * [backup-simplify]: Simplify n into n 16.456 * [backup-simplify]: Simplify (* 2 n) into (* 2 n) 16.456 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n)) 16.456 * [backup-simplify]: Simplify (- 0) into 0 16.457 * [backup-simplify]: Simplify (+ 1 0) into 1 16.457 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 16.457 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 16.457 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 16.458 * [backup-simplify]: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 16.458 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.458 * [taylor]: Taking taylor expansion of k in k 16.458 * [backup-simplify]: Simplify 0 into 0 16.458 * [backup-simplify]: Simplify 1 into 1 16.458 * [backup-simplify]: Simplify (sqrt 0) into 0 16.460 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.460 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (* 1/2 (- 1 k)))) (sqrt k)) in k 16.460 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 n) (* 1/2 (- 1 k)))) in k 16.460 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in k 16.460 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in k 16.460 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in k 16.460 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 16.460 * [taylor]: Taking taylor expansion of 1/2 in k 16.460 * [backup-simplify]: Simplify 1/2 into 1/2 16.460 * [taylor]: Taking taylor expansion of (- 1 k) in k 16.460 * [taylor]: Taking taylor expansion of 1 in k 16.460 * [backup-simplify]: Simplify 1 into 1 16.460 * [taylor]: Taking taylor expansion of k in k 16.460 * [backup-simplify]: Simplify 0 into 0 16.460 * [backup-simplify]: Simplify 1 into 1 16.460 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k 16.460 * [taylor]: Taking taylor expansion of (* 2 n) in k 16.460 * [taylor]: Taking taylor expansion of 2 in k 16.460 * [backup-simplify]: Simplify 2 into 2 16.460 * [taylor]: Taking taylor expansion of n in k 16.460 * [backup-simplify]: Simplify n into n 16.460 * [backup-simplify]: Simplify (* 2 n) into (* 2 n) 16.460 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n)) 16.461 * [backup-simplify]: Simplify (- 0) into 0 16.461 * [backup-simplify]: Simplify (+ 1 0) into 1 16.461 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 16.462 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 16.462 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 16.462 * [backup-simplify]: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 16.462 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.462 * [taylor]: Taking taylor expansion of k in k 16.462 * [backup-simplify]: Simplify 0 into 0 16.462 * [backup-simplify]: Simplify 1 into 1 16.462 * [backup-simplify]: Simplify (sqrt 0) into 0 16.463 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.464 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 16.464 * [taylor]: Taking taylor expansion of 0 in n 16.464 * [backup-simplify]: Simplify 0 into 0 16.464 * [backup-simplify]: Simplify 0 into 0 16.464 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 n)) into 0 16.465 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 16.465 * [backup-simplify]: Simplify (- 1) into -1 16.466 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.467 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 16.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 16.467 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 16.468 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 16.470 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 16.470 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 16.470 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 16.470 * [taylor]: Taking taylor expansion of +nan.0 in n 16.470 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.470 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 16.470 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 16.470 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.470 * [taylor]: Taking taylor expansion of n in n 16.470 * [backup-simplify]: Simplify 0 into 0 16.470 * [backup-simplify]: Simplify 1 into 1 16.470 * [backup-simplify]: Simplify (/ 1 1) into 1 16.471 * [backup-simplify]: Simplify (sqrt 0) into 0 16.472 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.472 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 16.472 * [taylor]: Taking taylor expansion of 1/2 in n 16.472 * [backup-simplify]: Simplify 1/2 into 1/2 16.473 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.474 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.475 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 16.477 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 16.478 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 16.479 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.479 * [backup-simplify]: Simplify 0 into 0 16.481 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.482 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 16.482 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 16.483 * [backup-simplify]: Simplify (- 0) into 0 16.483 * [backup-simplify]: Simplify (+ 0 0) into 0 16.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 16.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 16.485 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 16.486 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 16.490 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 16.490 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 16.490 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 16.490 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 16.490 * [taylor]: Taking taylor expansion of +nan.0 in n 16.490 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.490 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 16.490 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 16.490 * [taylor]: Taking taylor expansion of (sqrt 2) in n 16.490 * [taylor]: Taking taylor expansion of 2 in n 16.490 * [backup-simplify]: Simplify 2 into 2 16.490 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 16.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 16.491 * [taylor]: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 16.491 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 16.491 * [taylor]: Taking taylor expansion of (* 2 n) in n 16.491 * [taylor]: Taking taylor expansion of 2 in n 16.491 * [backup-simplify]: Simplify 2 into 2 16.491 * [taylor]: Taking taylor expansion of n in n 16.491 * [backup-simplify]: Simplify 0 into 0 16.491 * [backup-simplify]: Simplify 1 into 1 16.491 * [backup-simplify]: Simplify (* 2 0) into 0 16.492 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 16.492 * [backup-simplify]: Simplify (log 2) into (log 2) 16.492 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 16.492 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 16.492 * [taylor]: Taking taylor expansion of 1/2 in n 16.492 * [backup-simplify]: Simplify 1/2 into 1/2 16.492 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 16.493 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.493 * [taylor]: Taking taylor expansion of n in n 16.493 * [backup-simplify]: Simplify 0 into 0 16.493 * [backup-simplify]: Simplify 1 into 1 16.493 * [backup-simplify]: Simplify (/ 1 1) into 1 16.493 * [backup-simplify]: Simplify (sqrt 0) into 0 16.494 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.494 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 16.494 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 16.494 * [taylor]: Taking taylor expansion of +nan.0 in n 16.494 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.494 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 16.494 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 16.494 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.494 * [taylor]: Taking taylor expansion of n in n 16.494 * [backup-simplify]: Simplify 0 into 0 16.494 * [backup-simplify]: Simplify 1 into 1 16.495 * [backup-simplify]: Simplify (/ 1 1) into 1 16.495 * [backup-simplify]: Simplify (sqrt 0) into 0 16.496 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.496 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 16.496 * [taylor]: Taking taylor expansion of 1/2 in n 16.496 * [backup-simplify]: Simplify 1/2 into 1/2 16.496 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.497 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.498 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 16.499 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 16.500 * [backup-simplify]: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 16.500 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.501 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 16.501 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 16.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 16.503 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 16.504 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 16.506 * [backup-simplify]: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 16.507 * [backup-simplify]: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 16.511 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 16.512 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.513 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 16.515 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 16.516 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 16.524 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 16.531 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 16.539 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 16.540 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.544 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 16.552 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 16.558 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 16.560 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.572 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 16.572 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2))) into (* (/ 1 (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) 16.572 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 16.572 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in n 16.572 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) in n 16.572 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in n 16.572 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in n 16.572 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in n 16.572 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 16.572 * [taylor]: Taking taylor expansion of 1/2 in n 16.572 * [backup-simplify]: Simplify 1/2 into 1/2 16.572 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 16.572 * [taylor]: Taking taylor expansion of 1 in n 16.572 * [backup-simplify]: Simplify 1 into 1 16.572 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.572 * [taylor]: Taking taylor expansion of k in n 16.572 * [backup-simplify]: Simplify k into k 16.573 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.573 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 16.573 * [taylor]: Taking taylor expansion of (/ 2 n) in n 16.573 * [taylor]: Taking taylor expansion of 2 in n 16.573 * [backup-simplify]: Simplify 2 into 2 16.573 * [taylor]: Taking taylor expansion of n in n 16.573 * [backup-simplify]: Simplify 0 into 0 16.573 * [backup-simplify]: Simplify 1 into 1 16.573 * [backup-simplify]: Simplify (/ 2 1) into 2 16.574 * [backup-simplify]: Simplify (log 2) into (log 2) 16.574 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.574 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 16.574 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 16.575 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 16.575 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 16.576 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 16.576 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 16.576 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 16.576 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.576 * [taylor]: Taking taylor expansion of k in n 16.576 * [backup-simplify]: Simplify k into k 16.576 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.576 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 16.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 16.577 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 16.577 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) in k 16.577 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in k 16.577 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in k 16.577 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in k 16.577 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 16.577 * [taylor]: Taking taylor expansion of 1/2 in k 16.577 * [backup-simplify]: Simplify 1/2 into 1/2 16.577 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 16.577 * [taylor]: Taking taylor expansion of 1 in k 16.577 * [backup-simplify]: Simplify 1 into 1 16.577 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.577 * [taylor]: Taking taylor expansion of k in k 16.577 * [backup-simplify]: Simplify 0 into 0 16.577 * [backup-simplify]: Simplify 1 into 1 16.577 * [backup-simplify]: Simplify (/ 1 1) into 1 16.578 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k 16.578 * [taylor]: Taking taylor expansion of (/ 2 n) in k 16.578 * [taylor]: Taking taylor expansion of 2 in k 16.578 * [backup-simplify]: Simplify 2 into 2 16.578 * [taylor]: Taking taylor expansion of n in k 16.578 * [backup-simplify]: Simplify n into n 16.578 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n) 16.578 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n)) 16.578 * [backup-simplify]: Simplify (- 1) into -1 16.579 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.579 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 16.579 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 16.579 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) 16.580 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) 16.580 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.580 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.580 * [taylor]: Taking taylor expansion of k in k 16.580 * [backup-simplify]: Simplify 0 into 0 16.580 * [backup-simplify]: Simplify 1 into 1 16.580 * [backup-simplify]: Simplify (/ 1 1) into 1 16.580 * [backup-simplify]: Simplify (sqrt 0) into 0 16.582 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.582 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 16.582 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k))))) in k 16.582 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in k 16.582 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in k 16.582 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in k 16.582 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 16.582 * [taylor]: Taking taylor expansion of 1/2 in k 16.582 * [backup-simplify]: Simplify 1/2 into 1/2 16.582 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 16.582 * [taylor]: Taking taylor expansion of 1 in k 16.582 * [backup-simplify]: Simplify 1 into 1 16.582 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.582 * [taylor]: Taking taylor expansion of k in k 16.582 * [backup-simplify]: Simplify 0 into 0 16.582 * [backup-simplify]: Simplify 1 into 1 16.583 * [backup-simplify]: Simplify (/ 1 1) into 1 16.583 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k 16.583 * [taylor]: Taking taylor expansion of (/ 2 n) in k 16.583 * [taylor]: Taking taylor expansion of 2 in k 16.583 * [backup-simplify]: Simplify 2 into 2 16.583 * [taylor]: Taking taylor expansion of n in k 16.583 * [backup-simplify]: Simplify n into n 16.583 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n) 16.583 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n)) 16.584 * [backup-simplify]: Simplify (- 1) into -1 16.584 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.584 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 16.584 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 16.585 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) 16.585 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) 16.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.585 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.585 * [taylor]: Taking taylor expansion of k in k 16.585 * [backup-simplify]: Simplify 0 into 0 16.585 * [backup-simplify]: Simplify 1 into 1 16.585 * [backup-simplify]: Simplify (/ 1 1) into 1 16.586 * [backup-simplify]: Simplify (sqrt 0) into 0 16.587 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.588 * [backup-simplify]: Simplify (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) 0) into 0 16.588 * [taylor]: Taking taylor expansion of 0 in n 16.588 * [backup-simplify]: Simplify 0 into 0 16.588 * [backup-simplify]: Simplify 0 into 0 16.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))))) into 0 16.589 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) 16.589 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) in n 16.589 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) in n 16.589 * [taylor]: Taking taylor expansion of +nan.0 in n 16.589 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.589 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) in n 16.589 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) in n 16.589 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))) in n 16.589 * [taylor]: Taking taylor expansion of 1/2 in n 16.589 * [backup-simplify]: Simplify 1/2 into 1/2 16.589 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 2 n))) in n 16.589 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 16.589 * [taylor]: Taking taylor expansion of 1 in n 16.589 * [backup-simplify]: Simplify 1 into 1 16.589 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.589 * [taylor]: Taking taylor expansion of k in n 16.589 * [backup-simplify]: Simplify k into k 16.589 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.589 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 16.589 * [taylor]: Taking taylor expansion of (/ 2 n) in n 16.589 * [taylor]: Taking taylor expansion of 2 in n 16.589 * [backup-simplify]: Simplify 2 into 2 16.589 * [taylor]: Taking taylor expansion of n in n 16.589 * [backup-simplify]: Simplify 0 into 0 16.589 * [backup-simplify]: Simplify 1 into 1 16.590 * [backup-simplify]: Simplify (/ 2 1) into 2 16.590 * [backup-simplify]: Simplify (log 2) into (log 2) 16.590 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.591 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 16.591 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 16.592 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log 2) (log n))) into (* (- 1 (/ 1 k)) (- (log 2) (log n))) 16.592 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 16.593 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 16.594 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 16.594 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 16.595 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 16.596 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 16.596 * [backup-simplify]: Simplify 0 into 0 16.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.599 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))))) into 0 16.601 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) 16.601 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) in n 16.601 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) in n 16.601 * [taylor]: Taking taylor expansion of +nan.0 in n 16.601 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.601 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) in n 16.601 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) in n 16.601 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))) in n 16.601 * [taylor]: Taking taylor expansion of 1/2 in n 16.601 * [backup-simplify]: Simplify 1/2 into 1/2 16.601 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 2 n))) in n 16.601 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 16.601 * [taylor]: Taking taylor expansion of 1 in n 16.601 * [backup-simplify]: Simplify 1 into 1 16.601 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.601 * [taylor]: Taking taylor expansion of k in n 16.601 * [backup-simplify]: Simplify k into k 16.601 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.601 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 16.601 * [taylor]: Taking taylor expansion of (/ 2 n) in n 16.601 * [taylor]: Taking taylor expansion of 2 in n 16.601 * [backup-simplify]: Simplify 2 into 2 16.601 * [taylor]: Taking taylor expansion of n in n 16.601 * [backup-simplify]: Simplify 0 into 0 16.601 * [backup-simplify]: Simplify 1 into 1 16.602 * [backup-simplify]: Simplify (/ 2 1) into 2 16.602 * [backup-simplify]: Simplify (log 2) into (log 2) 16.602 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.602 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 16.603 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 16.604 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log 2) (log n))) into (* (- 1 (/ 1 k)) (- (log 2) (log n))) 16.604 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 16.605 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 16.605 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 16.606 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 16.606 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 16.607 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 16.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 16.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 16.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.610 * [backup-simplify]: Simplify (- 0) into 0 16.610 * [backup-simplify]: Simplify (+ 0 0) into 0 16.611 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 16.611 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log 2) (log n)))) into 0 16.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into 0 16.614 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))))) into 0 16.616 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into 0 16.616 * [backup-simplify]: Simplify (- 0) into 0 16.616 * [backup-simplify]: Simplify 0 into 0 16.616 * [backup-simplify]: Simplify 0 into 0 16.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))))) into 0 16.623 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) 16.623 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))))) in n 16.623 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) in n 16.623 * [taylor]: Taking taylor expansion of +nan.0 in n 16.623 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.623 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) in n 16.623 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) in n 16.623 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))) in n 16.623 * [taylor]: Taking taylor expansion of 1/2 in n 16.623 * [backup-simplify]: Simplify 1/2 into 1/2 16.623 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 2 n))) in n 16.623 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 16.623 * [taylor]: Taking taylor expansion of 1 in n 16.623 * [backup-simplify]: Simplify 1 into 1 16.623 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.623 * [taylor]: Taking taylor expansion of k in n 16.623 * [backup-simplify]: Simplify k into k 16.623 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.623 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 16.623 * [taylor]: Taking taylor expansion of (/ 2 n) in n 16.623 * [taylor]: Taking taylor expansion of 2 in n 16.623 * [backup-simplify]: Simplify 2 into 2 16.623 * [taylor]: Taking taylor expansion of n in n 16.623 * [backup-simplify]: Simplify 0 into 0 16.623 * [backup-simplify]: Simplify 1 into 1 16.624 * [backup-simplify]: Simplify (/ 2 1) into 2 16.624 * [backup-simplify]: Simplify (log 2) into (log 2) 16.624 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.624 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 16.625 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 16.626 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log 2) (log n))) into (* (- 1 (/ 1 k)) (- (log 2) (log n))) 16.626 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 16.627 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 16.627 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 16.628 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 16.629 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 16.629 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) 16.631 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n))))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n))))))))))))) 16.632 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) 16.632 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0 16.632 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) in n 16.632 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 16.632 * [taylor]: Taking taylor expansion of (/ -1 k) in n 16.632 * [taylor]: Taking taylor expansion of -1 in n 16.632 * [backup-simplify]: Simplify -1 into -1 16.632 * [taylor]: Taking taylor expansion of k in n 16.632 * [backup-simplify]: Simplify k into k 16.632 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 16.632 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 16.632 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 16.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 16.632 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in n 16.632 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in n 16.632 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in n 16.632 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 16.632 * [taylor]: Taking taylor expansion of 1/2 in n 16.632 * [backup-simplify]: Simplify 1/2 into 1/2 16.632 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 16.632 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.632 * [taylor]: Taking taylor expansion of k in n 16.632 * [backup-simplify]: Simplify k into k 16.633 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.633 * [taylor]: Taking taylor expansion of 1 in n 16.633 * [backup-simplify]: Simplify 1 into 1 16.633 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 16.633 * [taylor]: Taking taylor expansion of (/ -2 n) in n 16.633 * [taylor]: Taking taylor expansion of -2 in n 16.633 * [backup-simplify]: Simplify -2 into -2 16.633 * [taylor]: Taking taylor expansion of n in n 16.633 * [backup-simplify]: Simplify 0 into 0 16.633 * [backup-simplify]: Simplify 1 into 1 16.633 * [backup-simplify]: Simplify (/ -2 1) into -2 16.634 * [backup-simplify]: Simplify (log -2) into (log -2) 16.634 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 16.634 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 16.635 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 16.635 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 16.636 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 16.636 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 16.636 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) in k 16.637 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.637 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.637 * [taylor]: Taking taylor expansion of -1 in k 16.637 * [backup-simplify]: Simplify -1 into -1 16.637 * [taylor]: Taking taylor expansion of k in k 16.637 * [backup-simplify]: Simplify 0 into 0 16.637 * [backup-simplify]: Simplify 1 into 1 16.637 * [backup-simplify]: Simplify (/ -1 1) into -1 16.637 * [backup-simplify]: Simplify (sqrt 0) into 0 16.639 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.639 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in k 16.639 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in k 16.639 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in k 16.639 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 16.639 * [taylor]: Taking taylor expansion of 1/2 in k 16.639 * [backup-simplify]: Simplify 1/2 into 1/2 16.639 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 16.639 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.639 * [taylor]: Taking taylor expansion of k in k 16.639 * [backup-simplify]: Simplify 0 into 0 16.639 * [backup-simplify]: Simplify 1 into 1 16.640 * [backup-simplify]: Simplify (/ 1 1) into 1 16.640 * [taylor]: Taking taylor expansion of 1 in k 16.640 * [backup-simplify]: Simplify 1 into 1 16.640 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k 16.640 * [taylor]: Taking taylor expansion of (/ -2 n) in k 16.640 * [taylor]: Taking taylor expansion of -2 in k 16.640 * [backup-simplify]: Simplify -2 into -2 16.640 * [taylor]: Taking taylor expansion of n in k 16.640 * [backup-simplify]: Simplify n into n 16.640 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 16.640 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n)) 16.640 * [backup-simplify]: Simplify (+ 1 0) into 1 16.641 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 16.641 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 16.641 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) 16.642 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) 16.642 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1)))) in k 16.642 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.642 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.642 * [taylor]: Taking taylor expansion of -1 in k 16.642 * [backup-simplify]: Simplify -1 into -1 16.642 * [taylor]: Taking taylor expansion of k in k 16.642 * [backup-simplify]: Simplify 0 into 0 16.642 * [backup-simplify]: Simplify 1 into 1 16.643 * [backup-simplify]: Simplify (/ -1 1) into -1 16.643 * [backup-simplify]: Simplify (sqrt 0) into 0 16.644 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.644 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in k 16.644 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in k 16.644 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in k 16.645 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 16.645 * [taylor]: Taking taylor expansion of 1/2 in k 16.645 * [backup-simplify]: Simplify 1/2 into 1/2 16.645 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 16.645 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.645 * [taylor]: Taking taylor expansion of k in k 16.645 * [backup-simplify]: Simplify 0 into 0 16.645 * [backup-simplify]: Simplify 1 into 1 16.645 * [backup-simplify]: Simplify (/ 1 1) into 1 16.645 * [taylor]: Taking taylor expansion of 1 in k 16.645 * [backup-simplify]: Simplify 1 into 1 16.645 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k 16.645 * [taylor]: Taking taylor expansion of (/ -2 n) in k 16.645 * [taylor]: Taking taylor expansion of -2 in k 16.645 * [backup-simplify]: Simplify -2 into -2 16.645 * [taylor]: Taking taylor expansion of n in k 16.645 * [backup-simplify]: Simplify n into n 16.645 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 16.645 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n)) 16.646 * [backup-simplify]: Simplify (+ 1 0) into 1 16.646 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 16.646 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 16.647 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) 16.647 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) 16.647 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) in n 16.647 * [taylor]: Taking taylor expansion of +nan.0 in n 16.647 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.647 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) in n 16.647 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))) in n 16.647 * [taylor]: Taking taylor expansion of 1/2 in n 16.647 * [backup-simplify]: Simplify 1/2 into 1/2 16.647 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -2 n))) in n 16.647 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 16.647 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.647 * [taylor]: Taking taylor expansion of k in n 16.647 * [backup-simplify]: Simplify k into k 16.647 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.647 * [taylor]: Taking taylor expansion of 1 in n 16.647 * [backup-simplify]: Simplify 1 into 1 16.647 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 16.647 * [taylor]: Taking taylor expansion of (/ -2 n) in n 16.647 * [taylor]: Taking taylor expansion of -2 in n 16.647 * [backup-simplify]: Simplify -2 into -2 16.647 * [taylor]: Taking taylor expansion of n in n 16.647 * [backup-simplify]: Simplify 0 into 0 16.647 * [backup-simplify]: Simplify 1 into 1 16.648 * [backup-simplify]: Simplify (/ -2 1) into -2 16.648 * [backup-simplify]: Simplify (log -2) into (log -2) 16.648 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 16.649 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 16.650 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -2) (log n))) into (* (+ (/ 1 k) 1) (- (log -2) (log n))) 16.650 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 16.651 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 16.651 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 16.652 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 16.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.656 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.656 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) 16.656 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) in n 16.656 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) in n 16.657 * [taylor]: Taking taylor expansion of +nan.0 in n 16.657 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.657 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) in n 16.657 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) in n 16.657 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))) in n 16.657 * [taylor]: Taking taylor expansion of 1/2 in n 16.657 * [backup-simplify]: Simplify 1/2 into 1/2 16.657 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -2 n))) in n 16.657 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 16.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.657 * [taylor]: Taking taylor expansion of k in n 16.657 * [backup-simplify]: Simplify k into k 16.657 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.657 * [taylor]: Taking taylor expansion of 1 in n 16.657 * [backup-simplify]: Simplify 1 into 1 16.657 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 16.657 * [taylor]: Taking taylor expansion of (/ -2 n) in n 16.657 * [taylor]: Taking taylor expansion of -2 in n 16.657 * [backup-simplify]: Simplify -2 into -2 16.657 * [taylor]: Taking taylor expansion of n in n 16.657 * [backup-simplify]: Simplify 0 into 0 16.657 * [backup-simplify]: Simplify 1 into 1 16.658 * [backup-simplify]: Simplify (/ -2 1) into -2 16.658 * [backup-simplify]: Simplify (log -2) into (log -2) 16.658 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 16.659 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 16.659 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -2) (log n))) into (* (+ (/ 1 k) 1) (- (log -2) (log n))) 16.660 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 16.660 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 16.661 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 16.661 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 16.662 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) 16.663 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) 16.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 16.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 16.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.666 * [backup-simplify]: Simplify (+ 0 0) into 0 16.666 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 16.667 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (- (log -2) (log n)))) into 0 16.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into 0 16.669 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.671 * [backup-simplify]: Simplify (- (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))))) into 0 16.671 * [backup-simplify]: Simplify 0 into 0 16.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.677 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) 16.677 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))))) in n 16.677 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) in n 16.677 * [taylor]: Taking taylor expansion of +nan.0 in n 16.677 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.677 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) in n 16.677 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) in n 16.677 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))) in n 16.677 * [taylor]: Taking taylor expansion of 1/2 in n 16.677 * [backup-simplify]: Simplify 1/2 into 1/2 16.677 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -2 n))) in n 16.677 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 16.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.677 * [taylor]: Taking taylor expansion of k in n 16.677 * [backup-simplify]: Simplify k into k 16.678 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.678 * [taylor]: Taking taylor expansion of 1 in n 16.678 * [backup-simplify]: Simplify 1 into 1 16.678 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 16.678 * [taylor]: Taking taylor expansion of (/ -2 n) in n 16.678 * [taylor]: Taking taylor expansion of -2 in n 16.678 * [backup-simplify]: Simplify -2 into -2 16.678 * [taylor]: Taking taylor expansion of n in n 16.678 * [backup-simplify]: Simplify 0 into 0 16.678 * [backup-simplify]: Simplify 1 into 1 16.678 * [backup-simplify]: Simplify (/ -2 1) into -2 16.679 * [backup-simplify]: Simplify (log -2) into (log -2) 16.679 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 16.680 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 16.680 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -2) (log n))) into (* (+ (/ 1 k) 1) (- (log -2) (log n))) 16.681 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 16.681 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 16.682 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 16.682 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 16.683 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) 16.684 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) 16.686 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) k)))))))) 16.686 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 16.687 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))) into (* (pow (* 2 n) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 16.687 * [approximate]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 16.687 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 16.687 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in n 16.687 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in n 16.687 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in n 16.687 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 16.687 * [taylor]: Taking taylor expansion of 1/2 in n 16.687 * [backup-simplify]: Simplify 1/2 into 1/2 16.687 * [taylor]: Taking taylor expansion of (- 1 k) in n 16.687 * [taylor]: Taking taylor expansion of 1 in n 16.687 * [backup-simplify]: Simplify 1 into 1 16.687 * [taylor]: Taking taylor expansion of k in n 16.687 * [backup-simplify]: Simplify k into k 16.687 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 16.687 * [taylor]: Taking taylor expansion of (* 2 n) in n 16.687 * [taylor]: Taking taylor expansion of 2 in n 16.687 * [backup-simplify]: Simplify 2 into 2 16.687 * [taylor]: Taking taylor expansion of n in n 16.687 * [backup-simplify]: Simplify 0 into 0 16.687 * [backup-simplify]: Simplify 1 into 1 16.688 * [backup-simplify]: Simplify (* 2 0) into 0 16.688 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 16.689 * [backup-simplify]: Simplify (log 2) into (log 2) 16.689 * [backup-simplify]: Simplify (- k) into (- k) 16.689 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 16.689 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 16.690 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.691 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) 16.691 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 16.691 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 16.691 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.691 * [taylor]: Taking taylor expansion of k in n 16.691 * [backup-simplify]: Simplify k into k 16.691 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.691 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 16.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 16.692 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 16.692 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in k 16.692 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in k 16.692 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in k 16.692 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 16.692 * [taylor]: Taking taylor expansion of 1/2 in k 16.692 * [backup-simplify]: Simplify 1/2 into 1/2 16.692 * [taylor]: Taking taylor expansion of (- 1 k) in k 16.692 * [taylor]: Taking taylor expansion of 1 in k 16.692 * [backup-simplify]: Simplify 1 into 1 16.692 * [taylor]: Taking taylor expansion of k in k 16.692 * [backup-simplify]: Simplify 0 into 0 16.692 * [backup-simplify]: Simplify 1 into 1 16.692 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k 16.692 * [taylor]: Taking taylor expansion of (* 2 n) in k 16.692 * [taylor]: Taking taylor expansion of 2 in k 16.692 * [backup-simplify]: Simplify 2 into 2 16.692 * [taylor]: Taking taylor expansion of n in k 16.692 * [backup-simplify]: Simplify n into n 16.693 * [backup-simplify]: Simplify (* 2 n) into (* 2 n) 16.693 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n)) 16.693 * [backup-simplify]: Simplify (- 0) into 0 16.693 * [backup-simplify]: Simplify (+ 1 0) into 1 16.694 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 16.694 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 16.694 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 16.694 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.694 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.694 * [taylor]: Taking taylor expansion of k in k 16.694 * [backup-simplify]: Simplify 0 into 0 16.694 * [backup-simplify]: Simplify 1 into 1 16.695 * [backup-simplify]: Simplify (/ 1 1) into 1 16.695 * [backup-simplify]: Simplify (sqrt 0) into 0 16.696 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.696 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 16.696 * [taylor]: Taking taylor expansion of (pow (* 2 n) (* 1/2 (- 1 k))) in k 16.696 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 n)))) in k 16.697 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 n))) in k 16.697 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 16.697 * [taylor]: Taking taylor expansion of 1/2 in k 16.697 * [backup-simplify]: Simplify 1/2 into 1/2 16.697 * [taylor]: Taking taylor expansion of (- 1 k) in k 16.697 * [taylor]: Taking taylor expansion of 1 in k 16.697 * [backup-simplify]: Simplify 1 into 1 16.697 * [taylor]: Taking taylor expansion of k in k 16.697 * [backup-simplify]: Simplify 0 into 0 16.697 * [backup-simplify]: Simplify 1 into 1 16.697 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k 16.697 * [taylor]: Taking taylor expansion of (* 2 n) in k 16.697 * [taylor]: Taking taylor expansion of 2 in k 16.697 * [backup-simplify]: Simplify 2 into 2 16.697 * [taylor]: Taking taylor expansion of n in k 16.697 * [backup-simplify]: Simplify n into n 16.697 * [backup-simplify]: Simplify (* 2 n) into (* 2 n) 16.697 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n)) 16.697 * [backup-simplify]: Simplify (- 0) into 0 16.698 * [backup-simplify]: Simplify (+ 1 0) into 1 16.698 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 16.698 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 16.698 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 16.699 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.699 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.699 * [taylor]: Taking taylor expansion of k in k 16.699 * [backup-simplify]: Simplify 0 into 0 16.699 * [backup-simplify]: Simplify 1 into 1 16.699 * [backup-simplify]: Simplify (/ 1 1) into 1 16.699 * [backup-simplify]: Simplify (sqrt 0) into 0 16.701 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.701 * [backup-simplify]: Simplify (* (pow (* 2 n) 1/2) 0) into 0 16.701 * [taylor]: Taking taylor expansion of 0 in n 16.701 * [backup-simplify]: Simplify 0 into 0 16.701 * [backup-simplify]: Simplify 0 into 0 16.701 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 n)) into 0 16.705 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 16.705 * [backup-simplify]: Simplify (- 1) into -1 16.706 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.707 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 16.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 16.708 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 16.708 * [backup-simplify]: Simplify (+ (* (pow (* 2 n) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt n)))) 16.708 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt n)))) in n 16.708 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt n))) in n 16.708 * [taylor]: Taking taylor expansion of +nan.0 in n 16.708 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.708 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt n)) in n 16.708 * [taylor]: Taking taylor expansion of (sqrt 2) in n 16.708 * [taylor]: Taking taylor expansion of 2 in n 16.708 * [backup-simplify]: Simplify 2 into 2 16.708 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 16.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 16.709 * [taylor]: Taking taylor expansion of (sqrt n) in n 16.709 * [taylor]: Taking taylor expansion of n in n 16.709 * [backup-simplify]: Simplify 0 into 0 16.709 * [backup-simplify]: Simplify 1 into 1 16.710 * [backup-simplify]: Simplify (sqrt 0) into 0 16.711 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.711 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 16.712 * [backup-simplify]: Simplify (* +nan.0 0) into 0 16.712 * [backup-simplify]: Simplify (- 0) into 0 16.712 * [backup-simplify]: Simplify 0 into 0 16.712 * [backup-simplify]: Simplify 0 into 0 16.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.715 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.715 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 16.716 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 16.716 * [backup-simplify]: Simplify (- 0) into 0 16.717 * [backup-simplify]: Simplify (+ 0 0) into 0 16.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 16.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 16.718 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 16.719 * [backup-simplify]: Simplify (+ (* (pow (* 2 n) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) +nan.0) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 0))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n)))))) 16.719 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n)))))) in n 16.719 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))))) in n 16.719 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt n))) in n 16.719 * [taylor]: Taking taylor expansion of +nan.0 in n 16.719 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.719 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt n)) in n 16.719 * [taylor]: Taking taylor expansion of (sqrt 2) in n 16.719 * [taylor]: Taking taylor expansion of 2 in n 16.719 * [backup-simplify]: Simplify 2 into 2 16.719 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 16.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 16.720 * [taylor]: Taking taylor expansion of (sqrt n) in n 16.720 * [taylor]: Taking taylor expansion of n in n 16.720 * [backup-simplify]: Simplify 0 into 0 16.720 * [backup-simplify]: Simplify 1 into 1 16.720 * [backup-simplify]: Simplify (sqrt 0) into 0 16.721 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.721 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n)))) in n 16.721 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) in n 16.721 * [taylor]: Taking taylor expansion of +nan.0 in n 16.721 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.721 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt n)) in n 16.721 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 16.721 * [taylor]: Taking taylor expansion of (sqrt 2) in n 16.721 * [taylor]: Taking taylor expansion of 2 in n 16.721 * [backup-simplify]: Simplify 2 into 2 16.721 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 16.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 16.722 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 16.722 * [taylor]: Taking taylor expansion of (* 2 n) in n 16.722 * [taylor]: Taking taylor expansion of 2 in n 16.722 * [backup-simplify]: Simplify 2 into 2 16.722 * [taylor]: Taking taylor expansion of n in n 16.722 * [backup-simplify]: Simplify 0 into 0 16.722 * [backup-simplify]: Simplify 1 into 1 16.722 * [backup-simplify]: Simplify (* 2 0) into 0 16.722 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 16.723 * [backup-simplify]: Simplify (log 2) into (log 2) 16.723 * [taylor]: Taking taylor expansion of (sqrt n) in n 16.723 * [taylor]: Taking taylor expansion of n in n 16.723 * [backup-simplify]: Simplify 0 into 0 16.723 * [backup-simplify]: Simplify 1 into 1 16.723 * [backup-simplify]: Simplify (sqrt 0) into 0 16.724 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.724 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 16.724 * [backup-simplify]: Simplify (* +nan.0 0) into 0 16.725 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.725 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 16.726 * [backup-simplify]: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 16.726 * [backup-simplify]: Simplify (* +nan.0 0) into 0 16.726 * [backup-simplify]: Simplify (- 0) into 0 16.726 * [backup-simplify]: Simplify (+ 0 0) into 0 16.727 * [backup-simplify]: Simplify (- 0) into 0 16.727 * [backup-simplify]: Simplify 0 into 0 16.728 * [backup-simplify]: Simplify (+ (* (sqrt 2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2))) 16.730 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 2)))) (* 0 0)) into (- (* +nan.0 (sqrt 2))) 16.731 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2)))) into (- (* +nan.0 (sqrt 2))) 16.732 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 16.732 * [backup-simplify]: Simplify 0 into 0 16.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.736 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 16.738 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 16.738 * [backup-simplify]: Simplify (- 0) into 0 16.738 * [backup-simplify]: Simplify (+ 0 0) into 0 16.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 16.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 16.741 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 16.741 * [backup-simplify]: Simplify (+ (* (pow (* 2 n) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) +nan.0) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) +nan.0) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 0)))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n)))))))) 16.741 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n)))))))) in n 16.741 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n))))))) in n 16.741 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt n))) in n 16.741 * [taylor]: Taking taylor expansion of +nan.0 in n 16.741 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.741 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt n)) in n 16.741 * [taylor]: Taking taylor expansion of (sqrt 2) in n 16.741 * [taylor]: Taking taylor expansion of 2 in n 16.741 * [backup-simplify]: Simplify 2 into 2 16.742 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 16.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 16.742 * [taylor]: Taking taylor expansion of (sqrt n) in n 16.742 * [taylor]: Taking taylor expansion of n in n 16.742 * [backup-simplify]: Simplify 0 into 0 16.742 * [backup-simplify]: Simplify 1 into 1 16.742 * [backup-simplify]: Simplify (sqrt 0) into 0 16.743 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.743 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n)))))) in n 16.743 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n))))) in n 16.743 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) in n 16.743 * [taylor]: Taking taylor expansion of +nan.0 in n 16.743 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.744 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt n)) in n 16.744 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 16.744 * [taylor]: Taking taylor expansion of (sqrt 2) in n 16.744 * [taylor]: Taking taylor expansion of 2 in n 16.744 * [backup-simplify]: Simplify 2 into 2 16.744 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 16.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 16.744 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 16.744 * [taylor]: Taking taylor expansion of (* 2 n) in n 16.744 * [taylor]: Taking taylor expansion of 2 in n 16.744 * [backup-simplify]: Simplify 2 into 2 16.744 * [taylor]: Taking taylor expansion of n in n 16.744 * [backup-simplify]: Simplify 0 into 0 16.744 * [backup-simplify]: Simplify 1 into 1 16.745 * [backup-simplify]: Simplify (* 2 0) into 0 16.745 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 16.745 * [backup-simplify]: Simplify (log 2) into (log 2) 16.745 * [taylor]: Taking taylor expansion of (sqrt n) in n 16.745 * [taylor]: Taking taylor expansion of n in n 16.745 * [backup-simplify]: Simplify 0 into 0 16.745 * [backup-simplify]: Simplify 1 into 1 16.746 * [backup-simplify]: Simplify (sqrt 0) into 0 16.746 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.746 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n)))) in n 16.746 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n))) in n 16.746 * [taylor]: Taking taylor expansion of +nan.0 in n 16.746 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.746 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n)) in n 16.746 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 16.747 * [taylor]: Taking taylor expansion of (sqrt 2) in n 16.747 * [taylor]: Taking taylor expansion of 2 in n 16.747 * [backup-simplify]: Simplify 2 into 2 16.747 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 16.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 16.747 * [taylor]: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 16.747 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n 16.747 * [taylor]: Taking taylor expansion of (* 2 n) in n 16.747 * [taylor]: Taking taylor expansion of 2 in n 16.747 * [backup-simplify]: Simplify 2 into 2 16.747 * [taylor]: Taking taylor expansion of n in n 16.747 * [backup-simplify]: Simplify 0 into 0 16.747 * [backup-simplify]: Simplify 1 into 1 16.748 * [backup-simplify]: Simplify (* 2 0) into 0 16.748 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 16.748 * [backup-simplify]: Simplify (log 2) into (log 2) 16.749 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.749 * [taylor]: Taking taylor expansion of (sqrt n) in n 16.749 * [taylor]: Taking taylor expansion of n in n 16.749 * [backup-simplify]: Simplify 0 into 0 16.749 * [backup-simplify]: Simplify 1 into 1 16.749 * [backup-simplify]: Simplify (sqrt 0) into 0 16.750 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.750 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 16.750 * [backup-simplify]: Simplify (* +nan.0 0) into 0 16.751 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.751 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 16.752 * [backup-simplify]: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 16.752 * [backup-simplify]: Simplify (* +nan.0 0) into 0 16.753 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.753 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.754 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 16.754 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 16.755 * [backup-simplify]: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 16.755 * [backup-simplify]: Simplify (* +nan.0 0) into 0 16.755 * [backup-simplify]: Simplify (- 0) into 0 16.756 * [backup-simplify]: Simplify (+ 0 0) into 0 16.756 * [backup-simplify]: Simplify (- 0) into 0 16.756 * [backup-simplify]: Simplify (+ 0 0) into 0 16.756 * [backup-simplify]: Simplify (- 0) into 0 16.756 * [backup-simplify]: Simplify 0 into 0 16.758 * [backup-simplify]: Simplify (+ (* (sqrt 2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2))) 16.760 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 2)))) (* 0 0)) into (- (* +nan.0 (sqrt 2))) 16.760 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 16.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 16.762 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 16.762 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 16.763 * [backup-simplify]: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))) 16.765 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))) 16.767 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n))))))) into (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))) 16.769 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 2))) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n))))))) into (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))))) 16.771 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n))))))))) into (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))))) 16.774 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))))) into (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))))) 16.777 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.778 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 16.781 * [backup-simplify]: Simplify (+ (* (sqrt 2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2))) 16.784 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 2)))) (+ (* 0 (- (* +nan.0 (sqrt 2)))) (* 0 0))) into (- (* +nan.0 (sqrt 2))) 16.785 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2)))) into (- (* +nan.0 (sqrt 2))) 16.786 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 16.791 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))))) (* n k)) (* (- (* +nan.0 (sqrt 2))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n k))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* (log n) k)))) (- (+ (* +nan.0 (* (sqrt 2) n)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n k)))) (- (* +nan.0 (* (sqrt 2) (pow n 2)))))))))))) 16.791 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)))) into (* (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 16.791 * [approximate]: Taking taylor expansion of (* (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 16.791 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 16.791 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in n 16.791 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in n 16.791 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in n 16.791 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 16.791 * [taylor]: Taking taylor expansion of 1/2 in n 16.791 * [backup-simplify]: Simplify 1/2 into 1/2 16.791 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 16.791 * [taylor]: Taking taylor expansion of 1 in n 16.791 * [backup-simplify]: Simplify 1 into 1 16.791 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.791 * [taylor]: Taking taylor expansion of k in n 16.791 * [backup-simplify]: Simplify k into k 16.791 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.791 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 16.791 * [taylor]: Taking taylor expansion of (/ 2 n) in n 16.791 * [taylor]: Taking taylor expansion of 2 in n 16.791 * [backup-simplify]: Simplify 2 into 2 16.791 * [taylor]: Taking taylor expansion of n in n 16.791 * [backup-simplify]: Simplify 0 into 0 16.791 * [backup-simplify]: Simplify 1 into 1 16.792 * [backup-simplify]: Simplify (/ 2 1) into 2 16.792 * [backup-simplify]: Simplify (log 2) into (log 2) 16.792 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.792 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 16.792 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 16.793 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 16.793 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 16.794 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 16.794 * [taylor]: Taking taylor expansion of (sqrt k) in n 16.794 * [taylor]: Taking taylor expansion of k in n 16.794 * [backup-simplify]: Simplify k into k 16.794 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 16.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 16.794 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 16.794 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in k 16.794 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in k 16.794 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in k 16.794 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 16.794 * [taylor]: Taking taylor expansion of 1/2 in k 16.794 * [backup-simplify]: Simplify 1/2 into 1/2 16.794 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 16.794 * [taylor]: Taking taylor expansion of 1 in k 16.794 * [backup-simplify]: Simplify 1 into 1 16.794 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.794 * [taylor]: Taking taylor expansion of k in k 16.794 * [backup-simplify]: Simplify 0 into 0 16.794 * [backup-simplify]: Simplify 1 into 1 16.794 * [backup-simplify]: Simplify (/ 1 1) into 1 16.794 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k 16.794 * [taylor]: Taking taylor expansion of (/ 2 n) in k 16.794 * [taylor]: Taking taylor expansion of 2 in k 16.794 * [backup-simplify]: Simplify 2 into 2 16.794 * [taylor]: Taking taylor expansion of n in k 16.794 * [backup-simplify]: Simplify n into n 16.794 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n) 16.794 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n)) 16.795 * [backup-simplify]: Simplify (- 1) into -1 16.795 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.797 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 16.798 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 16.798 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) 16.798 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.798 * [taylor]: Taking taylor expansion of k in k 16.798 * [backup-simplify]: Simplify 0 into 0 16.798 * [backup-simplify]: Simplify 1 into 1 16.798 * [backup-simplify]: Simplify (sqrt 0) into 0 16.799 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.799 * [taylor]: Taking taylor expansion of (* (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 16.799 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (* 1/2 (- 1 (/ 1 k)))) in k 16.799 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) in k 16.799 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n))) in k 16.799 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 16.799 * [taylor]: Taking taylor expansion of 1/2 in k 16.799 * [backup-simplify]: Simplify 1/2 into 1/2 16.799 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 16.799 * [taylor]: Taking taylor expansion of 1 in k 16.799 * [backup-simplify]: Simplify 1 into 1 16.799 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.799 * [taylor]: Taking taylor expansion of k in k 16.799 * [backup-simplify]: Simplify 0 into 0 16.799 * [backup-simplify]: Simplify 1 into 1 16.800 * [backup-simplify]: Simplify (/ 1 1) into 1 16.800 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k 16.800 * [taylor]: Taking taylor expansion of (/ 2 n) in k 16.800 * [taylor]: Taking taylor expansion of 2 in k 16.800 * [backup-simplify]: Simplify 2 into 2 16.800 * [taylor]: Taking taylor expansion of n in k 16.800 * [backup-simplify]: Simplify n into n 16.800 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n) 16.800 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n)) 16.800 * [backup-simplify]: Simplify (- 1) into -1 16.800 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.801 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 16.801 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 16.801 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 2 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) 16.801 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.801 * [taylor]: Taking taylor expansion of k in k 16.801 * [backup-simplify]: Simplify 0 into 0 16.801 * [backup-simplify]: Simplify 1 into 1 16.801 * [backup-simplify]: Simplify (sqrt 0) into 0 16.802 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.802 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) 0) into 0 16.802 * [taylor]: Taking taylor expansion of 0 in n 16.802 * [backup-simplify]: Simplify 0 into 0 16.802 * [backup-simplify]: Simplify 0 into 0 16.802 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) 16.802 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) in n 16.803 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) in n 16.803 * [taylor]: Taking taylor expansion of +nan.0 in n 16.803 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.803 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) in n 16.803 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))) in n 16.803 * [taylor]: Taking taylor expansion of 1/2 in n 16.803 * [backup-simplify]: Simplify 1/2 into 1/2 16.803 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 2 n))) in n 16.803 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 16.803 * [taylor]: Taking taylor expansion of 1 in n 16.803 * [backup-simplify]: Simplify 1 into 1 16.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.803 * [taylor]: Taking taylor expansion of k in n 16.803 * [backup-simplify]: Simplify k into k 16.803 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.803 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 16.803 * [taylor]: Taking taylor expansion of (/ 2 n) in n 16.803 * [taylor]: Taking taylor expansion of 2 in n 16.803 * [backup-simplify]: Simplify 2 into 2 16.803 * [taylor]: Taking taylor expansion of n in n 16.803 * [backup-simplify]: Simplify 0 into 0 16.803 * [backup-simplify]: Simplify 1 into 1 16.803 * [backup-simplify]: Simplify (/ 2 1) into 2 16.803 * [backup-simplify]: Simplify (log 2) into (log 2) 16.803 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.803 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 16.804 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 16.804 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log 2) (log n))) into (* (- 1 (/ 1 k)) (- (log 2) (log n))) 16.805 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 16.805 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 16.805 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 16.806 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 16.806 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 16.806 * [backup-simplify]: Simplify 0 into 0 16.808 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.808 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) 16.808 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) in n 16.808 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) in n 16.808 * [taylor]: Taking taylor expansion of +nan.0 in n 16.808 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.808 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) in n 16.808 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))) in n 16.808 * [taylor]: Taking taylor expansion of 1/2 in n 16.808 * [backup-simplify]: Simplify 1/2 into 1/2 16.808 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 2 n))) in n 16.809 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 16.809 * [taylor]: Taking taylor expansion of 1 in n 16.809 * [backup-simplify]: Simplify 1 into 1 16.809 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.809 * [taylor]: Taking taylor expansion of k in n 16.809 * [backup-simplify]: Simplify k into k 16.809 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.809 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 16.809 * [taylor]: Taking taylor expansion of (/ 2 n) in n 16.809 * [taylor]: Taking taylor expansion of 2 in n 16.809 * [backup-simplify]: Simplify 2 into 2 16.809 * [taylor]: Taking taylor expansion of n in n 16.809 * [backup-simplify]: Simplify 0 into 0 16.809 * [backup-simplify]: Simplify 1 into 1 16.809 * [backup-simplify]: Simplify (/ 2 1) into 2 16.809 * [backup-simplify]: Simplify (log 2) into (log 2) 16.809 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.809 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 16.810 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 16.810 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log 2) (log n))) into (* (- 1 (/ 1 k)) (- (log 2) (log n))) 16.810 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 16.811 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 16.811 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 16.811 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 16.812 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 16.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 16.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 16.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.814 * [backup-simplify]: Simplify (- 0) into 0 16.814 * [backup-simplify]: Simplify (+ 0 0) into 0 16.814 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 16.815 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log 2) (log n)))) into 0 16.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into 0 16.816 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.817 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into 0 16.817 * [backup-simplify]: Simplify (- 0) into 0 16.817 * [backup-simplify]: Simplify 0 into 0 16.817 * [backup-simplify]: Simplify 0 into 0 16.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.820 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) 16.820 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))))) in n 16.820 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))) in n 16.820 * [taylor]: Taking taylor expansion of +nan.0 in n 16.820 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.820 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n))))) in n 16.820 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))) in n 16.820 * [taylor]: Taking taylor expansion of 1/2 in n 16.820 * [backup-simplify]: Simplify 1/2 into 1/2 16.820 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 2 n))) in n 16.820 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 16.820 * [taylor]: Taking taylor expansion of 1 in n 16.820 * [backup-simplify]: Simplify 1 into 1 16.820 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.820 * [taylor]: Taking taylor expansion of k in n 16.820 * [backup-simplify]: Simplify k into k 16.820 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.820 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n 16.820 * [taylor]: Taking taylor expansion of (/ 2 n) in n 16.820 * [taylor]: Taking taylor expansion of 2 in n 16.820 * [backup-simplify]: Simplify 2 into 2 16.820 * [taylor]: Taking taylor expansion of n in n 16.820 * [backup-simplify]: Simplify 0 into 0 16.820 * [backup-simplify]: Simplify 1 into 1 16.821 * [backup-simplify]: Simplify (/ 2 1) into 2 16.821 * [backup-simplify]: Simplify (log 2) into (log 2) 16.821 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.821 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 16.821 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 16.822 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log 2) (log n))) into (* (- 1 (/ 1 k)) (- (log 2) (log n))) 16.822 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) 16.822 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 16.823 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 16.823 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 16.823 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) 16.825 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (pow k 3)))))))) 16.825 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)))) into (/ (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 16.825 * [approximate]: Taking taylor expansion of (/ (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 16.825 * [taylor]: Taking taylor expansion of (/ (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 16.825 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in n 16.825 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in n 16.825 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in n 16.825 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 16.825 * [taylor]: Taking taylor expansion of 1/2 in n 16.825 * [backup-simplify]: Simplify 1/2 into 1/2 16.825 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 16.825 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.825 * [taylor]: Taking taylor expansion of k in n 16.825 * [backup-simplify]: Simplify k into k 16.825 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.825 * [taylor]: Taking taylor expansion of 1 in n 16.825 * [backup-simplify]: Simplify 1 into 1 16.825 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 16.825 * [taylor]: Taking taylor expansion of (/ -2 n) in n 16.825 * [taylor]: Taking taylor expansion of -2 in n 16.825 * [backup-simplify]: Simplify -2 into -2 16.825 * [taylor]: Taking taylor expansion of n in n 16.825 * [backup-simplify]: Simplify 0 into 0 16.825 * [backup-simplify]: Simplify 1 into 1 16.826 * [backup-simplify]: Simplify (/ -2 1) into -2 16.826 * [backup-simplify]: Simplify (log -2) into (log -2) 16.826 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 16.826 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 16.827 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 16.827 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 16.827 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 16.827 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 16.827 * [taylor]: Taking taylor expansion of (/ -1 k) in n 16.827 * [taylor]: Taking taylor expansion of -1 in n 16.827 * [backup-simplify]: Simplify -1 into -1 16.827 * [taylor]: Taking taylor expansion of k in n 16.827 * [backup-simplify]: Simplify k into k 16.827 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 16.827 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 16.828 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 16.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 16.828 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (sqrt (/ -1 k))) 16.828 * [taylor]: Taking taylor expansion of (/ (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 16.828 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in k 16.828 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in k 16.828 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in k 16.828 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 16.828 * [taylor]: Taking taylor expansion of 1/2 in k 16.828 * [backup-simplify]: Simplify 1/2 into 1/2 16.828 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 16.828 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.828 * [taylor]: Taking taylor expansion of k in k 16.828 * [backup-simplify]: Simplify 0 into 0 16.828 * [backup-simplify]: Simplify 1 into 1 16.828 * [backup-simplify]: Simplify (/ 1 1) into 1 16.828 * [taylor]: Taking taylor expansion of 1 in k 16.828 * [backup-simplify]: Simplify 1 into 1 16.828 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k 16.828 * [taylor]: Taking taylor expansion of (/ -2 n) in k 16.829 * [taylor]: Taking taylor expansion of -2 in k 16.829 * [backup-simplify]: Simplify -2 into -2 16.829 * [taylor]: Taking taylor expansion of n in k 16.829 * [backup-simplify]: Simplify n into n 16.829 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 16.829 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n)) 16.829 * [backup-simplify]: Simplify (+ 1 0) into 1 16.829 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 16.829 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 16.829 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) 16.829 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.830 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.830 * [taylor]: Taking taylor expansion of -1 in k 16.830 * [backup-simplify]: Simplify -1 into -1 16.830 * [taylor]: Taking taylor expansion of k in k 16.830 * [backup-simplify]: Simplify 0 into 0 16.830 * [backup-simplify]: Simplify 1 into 1 16.830 * [backup-simplify]: Simplify (/ -1 1) into -1 16.830 * [backup-simplify]: Simplify (sqrt 0) into 0 16.831 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.831 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) 16.831 * [taylor]: Taking taylor expansion of (/ (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 16.831 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (+ (/ 1 k) 1))) in k 16.831 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) in k 16.831 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n))) in k 16.831 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 16.831 * [taylor]: Taking taylor expansion of 1/2 in k 16.831 * [backup-simplify]: Simplify 1/2 into 1/2 16.831 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 16.831 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.831 * [taylor]: Taking taylor expansion of k in k 16.831 * [backup-simplify]: Simplify 0 into 0 16.832 * [backup-simplify]: Simplify 1 into 1 16.832 * [backup-simplify]: Simplify (/ 1 1) into 1 16.832 * [taylor]: Taking taylor expansion of 1 in k 16.832 * [backup-simplify]: Simplify 1 into 1 16.832 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k 16.832 * [taylor]: Taking taylor expansion of (/ -2 n) in k 16.832 * [taylor]: Taking taylor expansion of -2 in k 16.832 * [backup-simplify]: Simplify -2 into -2 16.832 * [taylor]: Taking taylor expansion of n in k 16.832 * [backup-simplify]: Simplify n into n 16.832 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n) 16.832 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n)) 16.832 * [backup-simplify]: Simplify (+ 1 0) into 1 16.833 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 16.833 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 16.833 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -2 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) 16.833 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.833 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.833 * [taylor]: Taking taylor expansion of -1 in k 16.833 * [backup-simplify]: Simplify -1 into -1 16.833 * [taylor]: Taking taylor expansion of k in k 16.833 * [backup-simplify]: Simplify 0 into 0 16.833 * [backup-simplify]: Simplify 1 into 1 16.833 * [backup-simplify]: Simplify (/ -1 1) into -1 16.834 * [backup-simplify]: Simplify (sqrt 0) into 0 16.835 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.835 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) 16.835 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) in n 16.835 * [taylor]: Taking taylor expansion of +nan.0 in n 16.835 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.835 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) in n 16.835 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))) in n 16.835 * [taylor]: Taking taylor expansion of 1/2 in n 16.835 * [backup-simplify]: Simplify 1/2 into 1/2 16.835 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -2 n))) in n 16.835 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 16.835 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.836 * [taylor]: Taking taylor expansion of k in n 16.836 * [backup-simplify]: Simplify k into k 16.836 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.836 * [taylor]: Taking taylor expansion of 1 in n 16.836 * [backup-simplify]: Simplify 1 into 1 16.836 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 16.836 * [taylor]: Taking taylor expansion of (/ -2 n) in n 16.836 * [taylor]: Taking taylor expansion of -2 in n 16.836 * [backup-simplify]: Simplify -2 into -2 16.836 * [taylor]: Taking taylor expansion of n in n 16.836 * [backup-simplify]: Simplify 0 into 0 16.836 * [backup-simplify]: Simplify 1 into 1 16.836 * [backup-simplify]: Simplify (/ -2 1) into -2 16.837 * [backup-simplify]: Simplify (log -2) into (log -2) 16.837 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 16.838 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 16.838 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -2) (log n))) into (* (+ (/ 1 k) 1) (- (log -2) (log n))) 16.839 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 16.839 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 16.840 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 16.840 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 16.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.843 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.844 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) 16.844 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) in n 16.844 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) in n 16.844 * [taylor]: Taking taylor expansion of +nan.0 in n 16.844 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.844 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) in n 16.844 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))) in n 16.844 * [taylor]: Taking taylor expansion of 1/2 in n 16.844 * [backup-simplify]: Simplify 1/2 into 1/2 16.844 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -2 n))) in n 16.844 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 16.844 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.844 * [taylor]: Taking taylor expansion of k in n 16.844 * [backup-simplify]: Simplify k into k 16.844 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.844 * [taylor]: Taking taylor expansion of 1 in n 16.844 * [backup-simplify]: Simplify 1 into 1 16.844 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 16.844 * [taylor]: Taking taylor expansion of (/ -2 n) in n 16.844 * [taylor]: Taking taylor expansion of -2 in n 16.844 * [backup-simplify]: Simplify -2 into -2 16.844 * [taylor]: Taking taylor expansion of n in n 16.844 * [backup-simplify]: Simplify 0 into 0 16.844 * [backup-simplify]: Simplify 1 into 1 16.844 * [backup-simplify]: Simplify (/ -2 1) into -2 16.845 * [backup-simplify]: Simplify (log -2) into (log -2) 16.845 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 16.845 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 16.845 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -2) (log n))) into (* (+ (/ 1 k) 1) (- (log -2) (log n))) 16.846 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 16.846 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 16.846 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 16.847 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 16.847 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 16.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 16.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 16.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.849 * [backup-simplify]: Simplify (+ 0 0) into 0 16.850 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 16.850 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (- (log -2) (log n)))) into 0 16.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into 0 16.852 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.853 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into 0 16.853 * [backup-simplify]: Simplify 0 into 0 16.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.857 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) 16.857 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))))) in n 16.857 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))) in n 16.857 * [taylor]: Taking taylor expansion of +nan.0 in n 16.857 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.857 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n))))) in n 16.857 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))) in n 16.857 * [taylor]: Taking taylor expansion of 1/2 in n 16.857 * [backup-simplify]: Simplify 1/2 into 1/2 16.857 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -2 n))) in n 16.857 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 16.857 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.857 * [taylor]: Taking taylor expansion of k in n 16.857 * [backup-simplify]: Simplify k into k 16.857 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.857 * [taylor]: Taking taylor expansion of 1 in n 16.857 * [backup-simplify]: Simplify 1 into 1 16.857 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n 16.857 * [taylor]: Taking taylor expansion of (/ -2 n) in n 16.857 * [taylor]: Taking taylor expansion of -2 in n 16.857 * [backup-simplify]: Simplify -2 into -2 16.857 * [taylor]: Taking taylor expansion of n in n 16.857 * [backup-simplify]: Simplify 0 into 0 16.857 * [backup-simplify]: Simplify 1 into 1 16.857 * [backup-simplify]: Simplify (/ -2 1) into -2 16.857 * [backup-simplify]: Simplify (log -2) into (log -2) 16.858 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 16.858 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 16.858 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -2) (log n))) into (* (+ (/ 1 k) 1) (- (log -2) (log n))) 16.859 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) 16.859 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 16.859 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) 16.860 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 16.860 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) 16.861 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (pow k 2)))))))) 16.862 * * * [progress]: simplifying candidates 16.862 * * * * [progress]: [ 1 / 465 ] simplifiying candidate # 16.862 * * * * [progress]: [ 2 / 465 ] simplifiying candidate # 16.862 * * * * [progress]: [ 3 / 465 ] simplifiying candidate # 16.862 * * * * [progress]: [ 4 / 465 ] simplifiying candidate # 16.862 * * * * [progress]: [ 5 / 465 ] simplifiying candidate # 16.862 * * * * [progress]: [ 6 / 465 ] simplifiying candidate # 16.862 * * * * [progress]: [ 7 / 465 ] simplifiying candidate # 16.862 * * * * [progress]: [ 8 / 465 ] simplifiying candidate # 16.862 * * * * [progress]: [ 9 / 465 ] simplifiying candidate # 16.862 * * * * [progress]: [ 10 / 465 ] simplifiying candidate # 16.862 * * * * [progress]: [ 11 / 465 ] simplifiying candidate # 16.862 * * * * [progress]: [ 12 / 465 ] simplifiying candidate # 16.862 * * * * [progress]: [ 13 / 465 ] simplifiying candidate # 16.862 * * * * [progress]: [ 14 / 465 ] 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(* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (pow k 2)))))))) 16.914 * * [simplify]: iteration 1: (709 enodes) 17.636 * * [simplify]: Extracting #0: cost 217 inf + 0 17.640 * * [simplify]: Extracting #1: cost 755 inf + 43 17.645 * * [simplify]: Extracting #2: cost 855 inf + 2855 17.656 * * [simplify]: Extracting #3: cost 795 inf + 48420 17.691 * * [simplify]: Extracting #4: cost 582 inf + 164781 17.739 * * [simplify]: Extracting #5: cost 375 inf + 297229 17.831 * * [simplify]: Extracting #6: cost 278 inf + 355762 17.907 * * [simplify]: Extracting #7: cost 210 inf + 403311 17.986 * * [simplify]: Extracting #8: cost 121 inf + 459573 18.073 * * [simplify]: Extracting #9: cost 74 inf + 481179 18.172 * * [simplify]: Extracting #10: cost 40 inf + 495554 18.262 * * [simplify]: Extracting #11: cost 16 inf + 514681 18.370 * * [simplify]: Extracting #12: cost 2 inf + 528831 18.454 * * [simplify]: Extracting #13: cost 0 inf + 531111 18.602 * [simplify]: Simplified to (/ (* (log (* n 2)) (- 1 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(* n 2))))) (* (* (log n) (log n)) (* k k)))) (* 1/2 (+ (* (* k (log n)) (exp (* 1/2 (log (* n 2))))) (* (* (exp (* 1/2 (log (* n 2)))) k) (log 2)))))), (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))), (exp (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k)))), (- (- (* (* +nan.0 (sqrt 2)) (* (* PI n) k)) (- (* (* +nan.0 (sqrt 2)) (* PI n)) (- (* (* +nan.0 (log 2)) (* (* (* PI n) k) (sqrt 2))) (- (* (* +nan.0 (sqrt 2)) (* (* PI n) (* k (log n)))) (- (* +nan.0 (* (sqrt 2) (* (* PI n) (* k (log PI))))) (* (* +nan.0 (sqrt 2)) (* (* n n) (* PI PI))))))))), (- (- (* +nan.0 (/ (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* 1/2 (* (- 1 k) (log PI))))) (* k k))) (- (* (/ (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* 1/2 (* (- 1 k) (log PI))))) k) +nan.0) (* (/ (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* 1/2 (* (- 1 k) (log PI))))) (* (* k k) k)) +nan.0)))), (- (- (/ (* (exp (+ (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k))) (* 1/2 (* (- 1 k) (log PI))))) +nan.0) k) (- (/ (* (exp (+ (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k))) (* 1/2 (* (- 1 k) (log PI))))) +nan.0) (* k k)) (* (exp (+ (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k))) (* 1/2 (* (- 1 k) (log PI))))) +nan.0)))), (- (- (* +nan.0 (* k (sqrt 1/2))) (- (* (* +nan.0 (log 2)) (* (* (* k k) (* (sqrt 1/2) (sqrt 1/2))) (sqrt 2))) (- (* +nan.0 (* n (* k (sqrt 1/2)))) (- (* (* (sqrt 2) (* (* (* k k) (* (sqrt 1/2) (sqrt 1/2))) (log n))) +nan.0) (* (* +nan.0 (sqrt 1/2)) (* k k))))))), (- (- (/ (* +nan.0 1) (* (* k k) (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))))) (- (/ (* +nan.0 1) (* k (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))))) (/ (* +nan.0 1) (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))))))), (- (- (* +nan.0 (/ (/ 1 (exp (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k))))) (* k k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k)))))) (/ (* +nan.0 1) (* k (exp (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k))))))))), (- (- (* (* +nan.0 (sqrt 2)) (* n k)) (- (* (* (* (* k (log n)) n) (sqrt 2)) +nan.0) (- (* (* +nan.0 (sqrt 2)) n) (- (* (* +nan.0 (log 2)) (* (sqrt 2) (* n k))) (* +nan.0 (* (sqrt 2) (* n n)))))))), (- (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))) (* k k)) +nan.0) (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))) k) +nan.0) (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))))) (* (* k k) k))))), (- (- (* (exp (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k)))) +nan.0) (- (/ (* (exp (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k)))) +nan.0) k) (* (/ (exp (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k)))) (* k k)) +nan.0)))) 18.604 * * * * [progress]: [ 1 / 465 ] simplifiying candidate # 18.604 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (exp (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.605 * * * * [progress]: [ 2 / 465 ] simplifiying candidate # 18.605 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (exp (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.605 * * * * [progress]: [ 3 / 465 ] simplifiying candidate # 18.605 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (exp (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.605 * * * * [progress]: [ 4 / 465 ] simplifiying candidate # 18.605 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.605 * * * * [progress]: [ 5 / 465 ] simplifiying candidate # 18.605 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.606 * * * * [progress]: [ 6 / 465 ] simplifiying candidate # 18.606 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))))))) 18.606 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))))))) 18.606 * * * * [progress]: [ 7 / 465 ] simplifiying candidate # 18.606 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))))) 18.606 * * * * [progress]: [ 8 / 465 ] simplifiying candidate # 18.606 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))) 18.607 * * * * [progress]: [ 9 / 465 ] simplifiying candidate # 18.607 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))))) 18.607 * * * * [progress]: [ 10 / 465 ] simplifiying candidate # 18.607 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))))) 18.607 * * * * [progress]: [ 11 / 465 ] simplifiying candidate # 18.607 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)))))) 18.607 * * * * [progress]: [ 12 / 465 ] simplifiying candidate # 18.607 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))))) 18.608 * * * * [progress]: [ 13 / 465 ] simplifiying candidate # 18.608 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))))) 18.608 * * * * [progress]: [ 14 / 465 ] simplifiying candidate # 18.608 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)))))) 18.608 * * * * [progress]: [ 15 / 465 ] simplifiying candidate # 18.608 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (/ (/ 1 (cbrt 2)) (cbrt 2))) (/ (- 1 k) (cbrt 2))))))) 18.608 * * * * [progress]: [ 16 / 465 ] simplifiying candidate # 18.609 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))) 18.609 * * * * [progress]: [ 17 / 465 ] simplifiying candidate # 18.609 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.609 * * * * [progress]: [ 18 / 465 ] simplifiying candidate # 18.609 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))))))) 18.609 * * * * [progress]: [ 19 / 465 ] simplifiying candidate # 18.609 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (/ (+ (sqrt k) 1) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))))))) 18.610 * * * * [progress]: [ 20 / 465 ] simplifiying candidate # 18.610 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (+ (sqrt k) 1)) (/ (- (sqrt 1) (sqrt k)) 2)))))) 18.610 * * * * [progress]: [ 21 / 465 ] simplifiying candidate # 18.610 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2))) (/ (- 1 (sqrt k)) (cbrt 2))))))) 18.610 * * * * [progress]: [ 22 / 465 ] simplifiying candidate # 18.610 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (/ (+ (sqrt k) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))))) 18.610 * * * * [progress]: [ 23 / 465 ] simplifiying candidate # 18.611 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))) 18.611 * * * * [progress]: [ 24 / 465 ] simplifiying candidate # 18.611 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (/ (/ 1 (cbrt 2)) (cbrt 2))) (/ (- 1 k) (cbrt 2))))))) 18.611 * * * * [progress]: [ 25 / 465 ] simplifiying candidate # 18.611 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))) 18.611 * * * * [progress]: [ 26 / 465 ] simplifiying candidate # 18.611 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.611 * * * * [progress]: [ 27 / 465 ] simplifiying candidate # 18.612 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.612 * * * * [progress]: [ 28 / 465 ] simplifiying candidate # 18.612 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (- 1 k)) (/ 1 2)))))) 18.612 * * * * [progress]: [ 29 / 465 ] simplifiying candidate # 18.612 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 18.612 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 18.612 * * * * [progress]: [ 30 / 465 ] simplifiying candidate # 18.612 * * * * [progress]: [ 31 / 465 ] simplifiying candidate # 18.612 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (exp (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.613 * * * * [progress]: [ 32 / 465 ] simplifiying candidate # 18.613 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (log (exp (pow (* n 2) (/ (- 1 k) 2)))))))) 18.613 * * * * [progress]: [ 33 / 465 ] simplifiying candidate # 18.613 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.613 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.613 * * * * [progress]: [ 34 / 465 ] simplifiying candidate # 18.613 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (cbrt (* (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.614 * * * * [progress]: [ 35 / 465 ] simplifiying candidate # 18.614 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.614 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.614 * * * * [progress]: [ 36 / 465 ] simplifiying candidate # 18.614 * * * * [progress]: [ 37 / 465 ] simplifiying candidate # 18.614 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (* (pow (* n 2) (/ (- 1 k) 4)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.614 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (* (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (pow (* n 2) (/ (- 1 k) 4))))))) 18.615 * * * * [progress]: [ 38 / 465 ] simplifiying candidate #real (real->posit16 (pow (* n 2) (/ (- 1 k) 2))))))))> 18.615 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* n 2) (/ (- 1 k) 2)))))))) 18.615 * * * * [progress]: [ 39 / 465 ] simplifiying candidate # 18.615 * [simplify]: Simplified (2 1) to (λ (k n) (pow (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))) 1)) 18.615 * * * * [progress]: [ 40 / 465 ] simplifiying candidate # 18.615 * * * * [progress]: [ 41 / 465 ] simplifiying candidate # 18.615 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log PI)) (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2))))) 18.615 * * * * [progress]: [ 42 / 465 ] simplifiying candidate # 18.615 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log PI)) (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2))))) 18.616 * * * * [progress]: [ 43 / 465 ] simplifiying candidate # 18.616 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log PI)) (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2))))) 18.616 * * * * [progress]: [ 44 / 465 ] simplifiying candidate # 18.616 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log PI)) (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2))))) 18.616 * * * * [progress]: [ 45 / 465 ] simplifiying candidate # 18.616 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log PI)) (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2))))) 18.616 * * * * [progress]: [ 46 / 465 ] simplifiying candidate # 18.616 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log PI)) (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2))))) 18.617 * * * * [progress]: [ 47 / 465 ] simplifiying candidate # 18.617 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log PI)) (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2))))) 18.617 * * * * [progress]: [ 48 / 465 ] simplifiying candidate # 18.617 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log PI)) (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2))))) 18.617 * * * * [progress]: [ 49 / 465 ] simplifiying candidate # 18.617 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log PI)) (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2))))) 18.617 * * * * [progress]: [ 50 / 465 ] simplifiying candidate # 18.617 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log PI)) (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2))))) 18.617 * * * * [progress]: [ 51 / 465 ] simplifiying candidate # 18.618 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log PI)) (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2))))) 18.618 * * * * [progress]: [ 52 / 465 ] simplifiying candidate # 18.618 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log PI)) (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2))))) 18.618 * * * * [progress]: [ 53 / 465 ] simplifiying candidate # 18.618 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log PI)) (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2))))) 18.618 * * * * [progress]: [ 54 / 465 ] simplifiying candidate # 18.618 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log PI)) (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2))))) 18.618 * * * * [progress]: [ 55 / 465 ] simplifiying candidate # 18.618 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log PI)) (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2))))) 18.619 * * * * [progress]: [ 56 / 465 ] simplifiying candidate # 18.619 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log PI)) (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2))))) 18.619 * * * * [progress]: [ 57 / 465 ] simplifiying candidate # 18.619 * [simplify]: Simplified (2 1) to (λ (k n) (exp (log (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.619 * * * * [progress]: [ 58 / 465 ] simplifiying candidate # 18.619 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.619 * * * * [progress]: [ 59 / 465 ] simplifiying candidate # 18.619 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ 1 (* (sqrt k) k)) (* (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))) (pow (* n 2) (/ (- 1 k) 2)))) (* (exp (+ (* (/ (- 1 k) 2) (log PI)) (* (/ (- 1 k) 2) (log PI)))) (exp (* (/ (- 1 k) 2) (log PI))))))) 18.620 * * * * [progress]: [ 60 / 465 ] simplifiying candidate # 18.620 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (exp (+ (* (/ (- 1 k) 2) (log PI)) (* (/ (- 1 k) 2) (log PI)))) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))) (* (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))))) 18.620 * * * * [progress]: [ 61 / 465 ] simplifiying candidate # 18.620 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (exp (+ (* (/ (- 1 k) 2) (log PI)) (* (/ (- 1 k) 2) (log PI)))) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))) (* (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))))) 18.620 * * * * [progress]: [ 62 / 465 ] simplifiying candidate # 18.620 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (cbrt (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (cbrt (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.621 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (cbrt (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) (cbrt (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.621 * * * * [progress]: [ 63 / 465 ] simplifiying candidate # 18.621 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))) (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.621 * * * * [progress]: [ 64 / 465 ] simplifiying candidate # 18.621 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (sqrt (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.621 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (sqrt (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.622 * * * * [progress]: [ 65 / 465 ] simplifiying candidate # 18.622 * * * * [progress]: [ 66 / 465 ] simplifiying candidate # 18.622 * * * * [progress]: [ 67 / 465 ] simplifiying candidate # 18.622 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (sqrt (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.622 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (sqrt (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (* (sqrt (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))))) 18.622 * * * * [progress]: [ 68 / 465 ] simplifiying candidate # 18.622 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.622 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (/ (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.623 * * * * [progress]: [ 69 / 465 ] simplifiying candidate # 18.623 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.623 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))))) 18.623 * * * * [progress]: [ 70 / 465 ] simplifiying candidate # 18.624 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.624 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.624 * * * * [progress]: [ 71 / 465 ] simplifiying candidate # 18.624 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.624 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))))) 18.624 * * * * [progress]: [ 72 / 465 ] simplifiying candidate # 18.625 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.625 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.625 * * * * [progress]: [ 73 / 465 ] simplifiying candidate # 18.625 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.625 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (/ (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.625 * * * * [progress]: [ 74 / 465 ] simplifiying candidate # 18.625 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.626 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))))) 18.626 * * * * [progress]: [ 75 / 465 ] simplifiying candidate # 18.626 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.626 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.626 * * * * [progress]: [ 76 / 465 ] simplifiying candidate # 18.626 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.627 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))))) 18.627 * * * * [progress]: [ 77 / 465 ] simplifiying candidate # 18.627 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.627 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.627 * * * * [progress]: [ 78 / 465 ] simplifiying candidate # 18.627 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.628 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (* (sqrt (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))))) 18.628 * * * * [progress]: [ 79 / 465 ] simplifiying candidate # 18.628 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.628 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (/ (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.628 * * * * [progress]: [ 80 / 465 ] simplifiying candidate # 18.628 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.628 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))))) 18.629 * * * * [progress]: [ 81 / 465 ] simplifiying candidate # 18.629 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.629 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.629 * * * * [progress]: [ 82 / 465 ] simplifiying candidate # 18.629 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.629 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))))) 18.630 * * * * [progress]: [ 83 / 465 ] simplifiying candidate # 18.630 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.630 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.630 * * * * [progress]: [ 84 / 465 ] simplifiying candidate # 18.630 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.630 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (/ (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.631 * * * * [progress]: [ 85 / 465 ] simplifiying candidate # 18.631 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.631 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))))) 18.631 * * * * [progress]: [ 86 / 465 ] simplifiying candidate # 18.631 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.631 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.631 * * * * [progress]: [ 87 / 465 ] simplifiying candidate # 18.632 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.632 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (exp (* (log (sqrt PI)) (/ (- 1 k) 2)))))) 18.632 * * * * [progress]: [ 88 / 465 ] simplifiying candidate # 18.632 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.632 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.632 * * * * [progress]: [ 89 / 465 ] simplifiying candidate # 18.633 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (sqrt (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (sqrt (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.633 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (sqrt (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (sqrt (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.633 * * * * [progress]: [ 90 / 465 ] simplifiying candidate # 18.633 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.633 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.633 * * * * [progress]: [ 91 / 465 ] simplifiying candidate # 18.633 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.634 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.634 * * * * [progress]: [ 92 / 465 ] simplifiying candidate # 18.634 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.634 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))) (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.634 * * * * [progress]: [ 93 / 465 ] simplifiying candidate # 18.634 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.635 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.635 * * * * [progress]: [ 94 / 465 ] simplifiying candidate # 18.635 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.635 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))) (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.635 * * * * [progress]: [ 95 / 465 ] simplifiying candidate # 18.636 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.636 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.636 * * * * [progress]: [ 96 / 465 ] simplifiying candidate # 18.636 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.636 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.636 * * * * [progress]: [ 97 / 465 ] simplifiying candidate # 18.637 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.637 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))) (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.637 * * * * [progress]: [ 98 / 465 ] simplifiying candidate # 18.637 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.637 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.638 * * * * [progress]: [ 99 / 465 ] simplifiying candidate # 18.638 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.638 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))) (/ (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.638 * * * * [progress]: [ 100 / 465 ] simplifiying candidate # 18.638 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (* (cbrt (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.638 * * * * [progress]: [ 101 / 465 ] simplifiying candidate # 18.638 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))) (exp (* (/ (- 1 k) 2) (log PI)))) (sqrt (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.639 * * * * [progress]: [ 102 / 465 ] simplifiying candidate # 18.639 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (* (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.639 * * * * [progress]: [ 103 / 465 ] simplifiying candidate # 18.639 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.639 * * * * [progress]: [ 104 / 465 ] simplifiying candidate # 18.639 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.639 * * * * [progress]: [ 105 / 465 ] simplifiying candidate # 18.640 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.640 * * * * [progress]: [ 106 / 465 ] simplifiying candidate # 18.640 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.640 * * * * [progress]: [ 107 / 465 ] simplifiying candidate # 18.640 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.640 * * * * [progress]: [ 108 / 465 ] simplifiying candidate # 18.640 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (cbrt (sqrt k)) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.641 * * * * [progress]: [ 109 / 465 ] simplifiying candidate # 18.641 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.641 * * * * [progress]: [ 110 / 465 ] simplifiying candidate # 18.641 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ (fabs (cbrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.641 * * * * [progress]: [ 111 / 465 ] simplifiying candidate # 18.641 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (fabs (cbrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.642 * * * * [progress]: [ 112 / 465 ] simplifiying candidate # 18.642 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.642 * * * * [progress]: [ 113 / 465 ] simplifiying candidate # 18.642 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (fabs (cbrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.642 * * * * [progress]: [ 114 / 465 ] simplifiying candidate # 18.642 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.642 * * * * [progress]: [ 115 / 465 ] simplifiying candidate # 18.643 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.643 * * * * [progress]: [ 116 / 465 ] simplifiying candidate # 18.643 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.643 * * * * [progress]: [ 117 / 465 ] simplifiying candidate # 18.643 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.643 * * * * [progress]: [ 118 / 465 ] simplifiying candidate # 18.643 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.644 * * * * [progress]: [ 119 / 465 ] simplifiying candidate # 18.644 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (cbrt 1) (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))))) 18.644 * * * * [progress]: [ 120 / 465 ] simplifiying candidate # 18.644 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.644 * * * * [progress]: [ 121 / 465 ] simplifiying candidate # 18.644 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.644 * * * * [progress]: [ 122 / 465 ] simplifiying candidate # 18.645 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (cbrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.645 * * * * [progress]: [ 123 / 465 ] simplifiying candidate # 18.645 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (pow (* n 2) (/ (- 1 k) 4))) (/ (cbrt 1) (/ (sqrt k) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.645 * * * * [progress]: [ 124 / 465 ] simplifiying candidate # 18.645 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.645 * * * * [progress]: [ 125 / 465 ] simplifiying candidate # 18.645 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.646 * * * * [progress]: [ 126 / 465 ] simplifiying candidate # 18.646 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.646 * * * * [progress]: [ 127 / 465 ] simplifiying candidate # 18.646 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.646 * * * * [progress]: [ 128 / 465 ] simplifiying candidate # 18.646 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.646 * * * * [progress]: [ 129 / 465 ] simplifiying candidate # 18.647 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (cbrt 1) (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))))) 18.647 * * * * [progress]: [ 130 / 465 ] simplifiying candidate # 18.647 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.647 * * * * [progress]: [ 131 / 465 ] simplifiying candidate # 18.647 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.648 * * * * [progress]: [ 132 / 465 ] simplifiying candidate # 18.648 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (cbrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.648 * * * * [progress]: [ 133 / 465 ] simplifiying candidate # 18.648 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (pow (* n 2) (/ (- 1 k) 4))) (/ (cbrt 1) (/ (sqrt k) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.648 * * * * [progress]: [ 134 / 465 ] simplifiying candidate # 18.648 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (cbrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.649 * * * * [progress]: [ 135 / 465 ] simplifiying candidate # 18.649 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (exp (* (/ (- 1 k) 2) (log PI))) 1) (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n 2) (/ (- 1 k) 2)))))) 18.649 * * * * [progress]: [ 136 / 465 ] simplifiying candidate # 18.649 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) (/ (cbrt 1) (pow (* n 2) (/ k 2))))) 18.649 * * * * [progress]: [ 137 / 465 ] simplifiying candidate # 18.649 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (* (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.649 * * * * [progress]: [ 138 / 465 ] simplifiying candidate # 18.649 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.650 * * * * [progress]: [ 139 / 465 ] simplifiying candidate # 18.650 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.650 * * * * [progress]: [ 140 / 465 ] simplifiying candidate # 18.650 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.650 * * * * [progress]: [ 141 / 465 ] simplifiying candidate # 18.650 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.651 * * * * [progress]: [ 142 / 465 ] simplifiying candidate # 18.651 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.651 * * * * [progress]: [ 143 / 465 ] simplifiying candidate # 18.651 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (cbrt (sqrt k)) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.651 * * * * [progress]: [ 144 / 465 ] simplifiying candidate # 18.651 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.651 * * * * [progress]: [ 145 / 465 ] simplifiying candidate # 18.652 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ (fabs (cbrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.652 * * * * [progress]: [ 146 / 465 ] simplifiying candidate # 18.652 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (fabs (cbrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.652 * * * * [progress]: [ 147 / 465 ] simplifiying candidate # 18.652 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (exp (* (/ (- 1 k) 2) (log PI))) 1) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.652 * * * * [progress]: [ 148 / 465 ] simplifiying candidate # 18.653 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (fabs (cbrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.653 * * * * [progress]: [ 149 / 465 ] simplifiying candidate # 18.653 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.653 * * * * [progress]: [ 150 / 465 ] simplifiying candidate # 18.653 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.653 * * * * [progress]: [ 151 / 465 ] simplifiying candidate # 18.653 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.654 * * * * [progress]: [ 152 / 465 ] simplifiying candidate # 18.654 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.654 * * * * [progress]: [ 153 / 465 ] simplifiying candidate # 18.654 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.654 * * * * [progress]: [ 154 / 465 ] simplifiying candidate # 18.654 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))))) 18.654 * * * * [progress]: [ 155 / 465 ] simplifiying candidate # 18.654 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.655 * * * * [progress]: [ 156 / 465 ] simplifiying candidate # 18.655 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.655 * * * * [progress]: [ 157 / 465 ] simplifiying candidate # 18.655 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 1) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.655 * * * * [progress]: [ 158 / 465 ] simplifiying candidate # 18.655 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (pow (* n 2) (/ (- 1 k) 4))) (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.655 * * * * [progress]: [ 159 / 465 ] simplifiying candidate # 18.655 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.656 * * * * [progress]: [ 160 / 465 ] simplifiying candidate # 18.656 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.656 * * * * [progress]: [ 161 / 465 ] simplifiying candidate # 18.656 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.656 * * * * [progress]: [ 162 / 465 ] simplifiying candidate # 18.656 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.656 * * * * [progress]: [ 163 / 465 ] simplifiying candidate # 18.657 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.657 * * * * [progress]: [ 164 / 465 ] simplifiying candidate # 18.657 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))))) 18.657 * * * * [progress]: [ 165 / 465 ] simplifiying candidate # 18.657 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.657 * * * * [progress]: [ 166 / 465 ] simplifiying candidate # 18.657 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.658 * * * * [progress]: [ 167 / 465 ] simplifiying candidate # 18.658 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.658 * * * * [progress]: [ 168 / 465 ] simplifiying candidate # 18.658 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (pow (* n 2) (/ (- 1 k) 4))) (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.658 * * * * [progress]: [ 169 / 465 ] simplifiying candidate # 18.658 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.658 * * * * [progress]: [ 170 / 465 ] simplifiying candidate # 18.658 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (sqrt k))) (/ (sqrt 1) (/ 1 (pow (* n 2) (/ (- 1 k) 2)))))) 18.658 * * * * [progress]: [ 171 / 465 ] simplifiying candidate # 18.659 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) (/ (sqrt 1) (pow (* n 2) (/ k 2))))) 18.659 * * * * [progress]: [ 172 / 465 ] simplifiying candidate # 18.659 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (* (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.659 * * * * [progress]: [ 173 / 465 ] simplifiying candidate # 18.659 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.659 * * * * [progress]: [ 174 / 465 ] simplifiying candidate # 18.659 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.659 * * * * [progress]: [ 175 / 465 ] simplifiying candidate # 18.660 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.660 * * * * [progress]: [ 176 / 465 ] simplifiying candidate # 18.660 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.660 * * * * [progress]: [ 177 / 465 ] simplifiying candidate # 18.660 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.660 * * * * [progress]: [ 178 / 465 ] simplifiying candidate # 18.660 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (cbrt (sqrt k)) (/ (pow (* n 2) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.661 * * * * [progress]: [ 179 / 465 ] simplifiying candidate # 18.661 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (cbrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.661 * * * * [progress]: [ 180 / 465 ] simplifiying candidate # 18.661 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ (fabs (cbrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.661 * * * * [progress]: [ 181 / 465 ] simplifiying candidate # 18.661 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (fabs (cbrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.661 * * * * [progress]: [ 182 / 465 ] simplifiying candidate # 18.662 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.662 * * * * [progress]: [ 183 / 465 ] simplifiying candidate # 18.662 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (fabs (cbrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.662 * * * * [progress]: [ 184 / 465 ] simplifiying candidate # 18.662 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.662 * * * * [progress]: [ 185 / 465 ] simplifiying candidate # 18.662 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.662 * * * * [progress]: [ 186 / 465 ] simplifiying candidate # 18.663 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.663 * * * * [progress]: [ 187 / 465 ] simplifiying candidate # 18.663 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.663 * * * * [progress]: [ 188 / 465 ] simplifiying candidate # 18.663 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.663 * * * * [progress]: [ 189 / 465 ] simplifiying candidate # 18.663 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))))) 18.663 * * * * [progress]: [ 190 / 465 ] simplifiying candidate # 18.664 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.664 * * * * [progress]: [ 191 / 465 ] simplifiying candidate # 18.664 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.664 * * * * [progress]: [ 192 / 465 ] simplifiying candidate # 18.664 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) 1) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.664 * * * * [progress]: [ 193 / 465 ] simplifiying candidate # 18.664 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (pow (* n 2) (/ (- 1 k) 4))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.664 * * * * [progress]: [ 194 / 465 ] simplifiying candidate # 18.664 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.665 * * * * [progress]: [ 195 / 465 ] simplifiying candidate # 18.665 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.665 * * * * [progress]: [ 196 / 465 ] simplifiying candidate # 18.665 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.665 * * * * [progress]: [ 197 / 465 ] simplifiying candidate # 18.665 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.665 * * * * [progress]: [ 198 / 465 ] simplifiying candidate # 18.666 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.666 * * * * [progress]: [ 199 / 465 ] simplifiying candidate # 18.666 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))))) 18.666 * * * * [progress]: [ 200 / 465 ] simplifiying candidate # 18.666 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.666 * * * * [progress]: [ 201 / 465 ] simplifiying candidate # 18.666 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (exp (* (/ (- 1 k) 2) (log PI)))) (/ 1 (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.666 * * * * [progress]: [ 202 / 465 ] simplifiying candidate # 18.667 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.667 * * * * [progress]: [ 203 / 465 ] simplifiying candidate # 18.667 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (exp (* (/ (- 1 k) 2) (log PI))) (pow (* n 2) (/ (- 1 k) 4))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.667 * * * * [progress]: [ 204 / 465 ] simplifiying candidate # 18.667 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.667 * * * * [progress]: [ 205 / 465 ] simplifiying candidate # 18.667 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (sqrt k)) (/ 1 (/ 1 (pow (* n 2) (/ (- 1 k) 2)))))) 18.667 * * * * [progress]: [ 206 / 465 ] simplifiying candidate # 18.667 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) (/ 1 (pow (* n 2) (/ k 2))))) 18.668 * * * * [progress]: [ 207 / 465 ] simplifiying candidate # 18.668 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.668 * * * * [progress]: [ 208 / 465 ] simplifiying candidate # 18.668 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.668 * * * * [progress]: [ 209 / 465 ] simplifiying candidate # 18.668 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 2) (log PI))) (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))) 18.668 * * * * [progress]: [ 210 / 465 ] simplifiying candidate # 18.668 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log (* (cbrt PI) (cbrt PI))))) (* (exp (* (log (cbrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.668 * * * * [progress]: [ 211 / 465 ] simplifiying candidate # 18.669 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log (sqrt PI)))) (/ (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.669 * * * * [progress]: [ 212 / 465 ] simplifiying candidate # 18.669 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log 1))) (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.669 * * * * [progress]: [ 213 / 465 ] simplifiying candidate # 18.669 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (log (* (cbrt PI) (cbrt PI))) (/ (- 1 k) 2))) (* (exp (* (log (cbrt PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.669 * * * * [progress]: [ 214 / 465 ] simplifiying candidate # 18.669 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) (/ (* (exp (* (log (sqrt PI)) (/ (- 1 k) 2))) 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.670 * * * * [progress]: [ 215 / 465 ] simplifiying candidate # 18.670 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (log 1) (/ (- 1 k) 2))) (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.670 * * * * [progress]: [ 216 / 465 ] simplifiying candidate # 18.670 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (exp (* (/ (- 1 k) 2) (log PI)))) (cbrt (exp (* (/ (- 1 k) 2) (log PI))))) (* (cbrt (exp (* (/ (- 1 k) 2) (log PI)))) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.670 * * * * [progress]: [ 217 / 465 ] simplifiying candidate # 18.670 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (* (sqrt (exp (* (/ (- 1 k) 2) (log PI)))) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.670 * * * * [progress]: [ 218 / 465 ] simplifiying candidate # 18.670 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.670 * * * * [progress]: [ 219 / 465 ] simplifiying candidate # 18.671 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) 18.671 * * * * [progress]: [ 220 / 465 ] simplifiying candidate #real (real->posit16 (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))))> 18.671 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (/ (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.671 * * * * [progress]: [ 221 / 465 ] simplifiying candidate # 18.671 * * * * [progress]: [ 222 / 465 ] simplifiying candidate # 18.671 * * * * [progress]: [ 223 / 465 ] simplifiying candidate # 18.671 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (exp (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.671 * * * * [progress]: [ 224 / 465 ] simplifiying candidate # 18.671 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (exp (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.671 * * * * [progress]: [ 225 / 465 ] simplifiying candidate # 18.672 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (exp (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.672 * * * * [progress]: [ 226 / 465 ] simplifiying candidate # 18.672 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (exp (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.672 * * * * [progress]: [ 227 / 465 ] simplifiying candidate # 18.672 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (exp (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.672 * * * * [progress]: [ 228 / 465 ] simplifiying candidate # 18.672 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (log (exp (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.672 * * * * [progress]: [ 229 / 465 ] simplifiying candidate # 18.673 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (cbrt (/ k (/ (* (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))) (pow (* n 2) (/ (- 1 k) 2))) (sqrt k))))))) 18.673 * * * * [progress]: [ 230 / 465 ] simplifiying candidate # 18.673 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.673 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.673 * * * * [progress]: [ 231 / 465 ] simplifiying candidate # 18.673 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (cbrt (* (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))) (* (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))))) 18.674 * * * * [progress]: [ 232 / 465 ] simplifiying candidate # 18.674 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.674 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.674 * * * * [progress]: [ 233 / 465 ] simplifiying candidate # 18.674 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (- (sqrt k)) (- (pow (* n 2) (/ (- 1 k) 2))))))) 18.674 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (- (sqrt k)) (- (pow (* n 2) (/ (- 1 k) 2))))))) 18.675 * * * * [progress]: [ 234 / 465 ] simplifiying candidate # 18.675 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.675 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.675 * * * * [progress]: [ 235 / 465 ] simplifiying candidate # 18.675 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.675 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.676 * * * * [progress]: [ 236 / 465 ] simplifiying candidate # 18.676 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.676 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.676 * * * * [progress]: [ 237 / 465 ] simplifiying candidate # 18.676 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.676 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.677 * * * * [progress]: [ 238 / 465 ] simplifiying candidate # 18.677 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (cbrt (sqrt k)) (/ (pow (* n 2) (/ (- 1 k) 4)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.677 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 4))))))) 18.677 * * * * [progress]: [ 239 / 465 ] simplifiying candidate # 18.677 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.677 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.678 * * * * [progress]: [ 240 / 465 ] simplifiying candidate # 18.678 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (/ (fabs (cbrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.678 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (/ (fabs (cbrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.678 * * * * [progress]: [ 241 / 465 ] simplifiying candidate # 18.678 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (fabs (cbrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.678 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (fabs (cbrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.678 * * * * [progress]: [ 242 / 465 ] simplifiying candidate # 18.679 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.679 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.679 * * * * [progress]: [ 243 / 465 ] simplifiying candidate # 18.679 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (fabs (cbrt k)) (pow (* n 2) (/ (- 1 k) 4))) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.679 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n 2) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 4))))))) 18.679 * * * * [progress]: [ 244 / 465 ] simplifiying candidate # 18.680 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.680 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.680 * * * * [progress]: [ 245 / 465 ] simplifiying candidate # 18.680 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.680 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.680 * * * * [progress]: [ 246 / 465 ] simplifiying candidate # 18.680 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.681 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.681 * * * * [progress]: [ 247 / 465 ] simplifiying candidate # 18.681 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.681 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.681 * * * * [progress]: [ 248 / 465 ] simplifiying candidate # 18.681 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 4))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.682 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 4))))))) 18.682 * * * * [progress]: [ 249 / 465 ] simplifiying candidate # 18.682 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))) 18.682 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))) 18.682 * * * * [progress]: [ 250 / 465 ] simplifiying candidate # 18.682 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ 1 (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.682 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ 1 (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.683 * * * * [progress]: [ 251 / 465 ] simplifiying candidate # 18.683 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ 1 (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.683 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ 1 (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.683 * * * * [progress]: [ 252 / 465 ] simplifiying candidate # 18.683 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.683 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.683 * * * * [progress]: [ 253 / 465 ] simplifiying candidate # 18.683 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ 1 (pow (* n 2) (/ (- 1 k) 4))) (/ (sqrt k) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.684 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt 1) (pow (* n 2) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 4))))))) 18.684 * * * * [progress]: [ 254 / 465 ] simplifiying candidate # 18.684 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.684 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.684 * * * * [progress]: [ 255 / 465 ] simplifiying candidate # 18.684 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.685 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.685 * * * * [progress]: [ 256 / 465 ] simplifiying candidate # 18.685 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.685 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.685 * * * * [progress]: [ 257 / 465 ] simplifiying candidate # 18.685 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.685 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.686 * * * * [progress]: [ 258 / 465 ] simplifiying candidate # 18.686 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 4))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.686 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 4))))))) 18.686 * * * * [progress]: [ 259 / 465 ] simplifiying candidate # 18.686 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))) 18.686 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))) 18.687 * * * * [progress]: [ 260 / 465 ] simplifiying candidate # 18.687 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ 1 (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.687 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ 1 (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.687 * * * * [progress]: [ 261 / 465 ] simplifiying candidate # 18.687 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ 1 (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.687 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ 1 (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.687 * * * * [progress]: [ 262 / 465 ] simplifiying candidate # 18.687 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.688 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.688 * * * * [progress]: [ 263 / 465 ] simplifiying candidate # 18.688 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ 1 (pow (* n 2) (/ (- 1 k) 4))) (/ (sqrt k) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.688 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ 1 (pow (* n 2) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 4))))))) 18.688 * * * * [progress]: [ 264 / 465 ] simplifiying candidate # 18.688 * * * * [progress]: [ 265 / 465 ] simplifiying candidate # 18.688 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (sqrt k) (/ 1 (pow (* n 2) (/ (- 1 k) 2))))))) 18.688 * * * * [progress]: [ 266 / 465 ] simplifiying candidate # 18.688 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ 1 (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 18.689 * * * * [progress]: [ 267 / 465 ] simplifiying candidate # 18.689 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (/ (sqrt k) (pow n (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2)))))) 18.689 * * * * [progress]: [ 268 / 465 ] simplifiying candidate # 18.689 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (/ (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.689 * * * * [progress]: [ 269 / 465 ] simplifiying candidate # 18.689 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.689 * * * * [progress]: [ 270 / 465 ] simplifiying candidate # 18.689 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.689 * * * * [progress]: [ 271 / 465 ] simplifiying candidate # 18.690 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 4))) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.690 * * * * [progress]: [ 272 / 465 ] simplifiying candidate # 18.690 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (cbrt (sqrt k))))))) 18.690 * * * * [progress]: [ 273 / 465 ] simplifiying candidate # 18.690 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (cbrt k))))))) 18.690 * * * * [progress]: [ 274 / 465 ] simplifiying candidate # 18.690 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))))) 18.691 * * * * [progress]: [ 275 / 465 ] simplifiying candidate # 18.691 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt 1) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 18.691 * * * * [progress]: [ 276 / 465 ] simplifiying candidate # 18.691 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))))) 18.691 * * * * [progress]: [ 277 / 465 ] simplifiying candidate # 18.691 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ 1 (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt k)))))) 18.691 * * * * [progress]: [ 278 / 465 ] simplifiying candidate # 18.691 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2)))))) 18.691 * * * * [progress]: [ 279 / 465 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))))> 18.692 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (posit16->real (real->posit16 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.692 * * * * [progress]: [ 280 / 465 ] simplifiying candidate # 18.692 * * * * [progress]: [ 281 / 465 ] simplifiying candidate # 18.692 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (pow (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))) -1))) 18.692 * * * * [progress]: [ 282 / 465 ] simplifiying candidate # 18.692 * * * * [progress]: [ 283 / 465 ] simplifiying candidate # 18.692 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.692 * * * * [progress]: [ 284 / 465 ] simplifiying candidate # 18.692 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.693 * * * * [progress]: [ 285 / 465 ] simplifiying candidate # 18.693 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.693 * * * * [progress]: [ 286 / 465 ] simplifiying candidate # 18.693 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.693 * * * * [progress]: [ 287 / 465 ] simplifiying candidate # 18.693 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.693 * * * * [progress]: [ 288 / 465 ] simplifiying candidate # 18.693 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.693 * * * * [progress]: [ 289 / 465 ] simplifiying candidate # 18.694 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.694 * * * * [progress]: [ 290 / 465 ] simplifiying candidate # 18.694 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.694 * * * * [progress]: [ 291 / 465 ] simplifiying candidate # 18.694 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.694 * * * * [progress]: [ 292 / 465 ] simplifiying candidate # 18.694 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.694 * * * * [progress]: [ 293 / 465 ] simplifiying candidate # 18.694 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.695 * * * * [progress]: [ 294 / 465 ] simplifiying candidate # 18.695 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.695 * * * * [progress]: [ 295 / 465 ] simplifiying candidate # 18.695 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.695 * * * * [progress]: [ 296 / 465 ] simplifiying candidate # 18.695 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.695 * * * * [progress]: [ 297 / 465 ] simplifiying candidate # 18.695 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.696 * * * * [progress]: [ 298 / 465 ] simplifiying candidate # 18.696 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (exp (- (- (log (sqrt k)) (/ (* (log (* n 2)) (- 1 k)) 2)))))) 18.696 * * * * [progress]: [ 299 / 465 ] simplifiying candidate # 18.696 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (log (exp (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.696 * * * * [progress]: [ 300 / 465 ] simplifiying candidate # 18.696 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (cbrt (* (/ 1 (* (sqrt k) k)) (* (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))) (pow (* n 2) (/ (- 1 k) 2))))))) 18.696 * * * * [progress]: [ 301 / 465 ] simplifiying candidate # 18.696 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (cbrt (/ 1 (* (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))) (* (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))))) 18.697 * * * * [progress]: [ 302 / 465 ] simplifiying candidate # 18.697 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.697 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (cbrt (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.697 * * * * [progress]: [ 303 / 465 ] simplifiying candidate # 18.697 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (cbrt (* (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))) (* (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.697 * * * * [progress]: [ 304 / 465 ] simplifiying candidate # 18.698 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))) (sqrt (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.698 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.698 * * * * [progress]: [ 305 / 465 ] simplifiying candidate # 18.698 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ -1 (- (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.698 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ -1 (/ (- (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.698 * * * * [progress]: [ 306 / 465 ] simplifiying candidate # 18.698 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.699 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.699 * * * * [progress]: [ 307 / 465 ] simplifiying candidate # 18.699 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.699 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.699 * * * * [progress]: [ 308 / 465 ] simplifiying candidate # 18.699 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.700 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))) (* (/ 1 (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))))) 18.700 * * * * [progress]: [ 309 / 465 ] simplifiying candidate # 18.700 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.700 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (/ 1 (cbrt (sqrt k))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.700 * * * * [progress]: [ 310 / 465 ] simplifiying candidate # 18.700 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.701 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.701 * * * * [progress]: [ 311 / 465 ] simplifiying candidate # 18.701 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.701 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 2)))))) 18.701 * * * * [progress]: [ 312 / 465 ] simplifiying candidate # 18.701 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* n 2) (/ (- 1 k) 4))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.702 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (cbrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.702 * * * * [progress]: [ 313 / 465 ] simplifiying candidate # 18.702 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.702 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (pow n (/ (- 1 k) 2))) (/ 1 (/ (sqrt (cbrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.703 * * * * [progress]: [ 314 / 465 ] simplifiying candidate # 18.703 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.703 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (* (/ 1 (sqrt (cbrt k))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.703 * * * * [progress]: [ 315 / 465 ] simplifiying candidate # 18.703 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.703 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (cbrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.704 * * * * [progress]: [ 316 / 465 ] simplifiying candidate # 18.704 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.704 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* n 2) (/ (- 1 k) 2)))))) 18.704 * * * * [progress]: [ 317 / 465 ] simplifiying candidate # 18.704 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (fabs (cbrt k)) (pow (* n 2) (/ (- 1 k) 4)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.704 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt (cbrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.705 * * * * [progress]: [ 318 / 465 ] simplifiying candidate # 18.705 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.705 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))))) 18.705 * * * * [progress]: [ 319 / 465 ] simplifiying candidate # 18.705 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.705 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.706 * * * * [progress]: [ 320 / 465 ] simplifiying candidate # 18.706 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.706 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.706 * * * * [progress]: [ 321 / 465 ] simplifiying candidate # 18.706 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.706 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.706 * * * * [progress]: [ 322 / 465 ] simplifiying candidate # 18.707 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.707 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.707 * * * * [progress]: [ 323 / 465 ] simplifiying candidate # 18.707 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow n (/ (- 1 k) 2)) (/ (cbrt 1) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))) 18.707 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.707 * * * * [progress]: [ 324 / 465 ] simplifiying candidate # 18.707 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.708 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.708 * * * * [progress]: [ 325 / 465 ] simplifiying candidate # 18.708 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.708 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.708 * * * * [progress]: [ 326 / 465 ] simplifiying candidate # 18.708 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.708 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.708 * * * * [progress]: [ 327 / 465 ] simplifiying candidate # 18.709 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow (* n 2) (/ (- 1 k) 4)) (/ (cbrt 1) (/ (sqrt k) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.709 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 4)))))) 18.709 * * * * [progress]: [ 328 / 465 ] simplifiying candidate # 18.709 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.709 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))))) 18.709 * * * * [progress]: [ 329 / 465 ] simplifiying candidate # 18.710 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.710 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.710 * * * * [progress]: [ 330 / 465 ] simplifiying candidate # 18.710 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.710 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.710 * * * * [progress]: [ 331 / 465 ] simplifiying candidate # 18.711 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.711 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.711 * * * * [progress]: [ 332 / 465 ] simplifiying candidate # 18.711 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.711 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.711 * * * * [progress]: [ 333 / 465 ] simplifiying candidate # 18.712 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow n (/ (- 1 k) 2)) (/ (cbrt 1) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))) 18.712 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.712 * * * * [progress]: [ 334 / 465 ] simplifiying candidate # 18.712 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.712 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.712 * * * * [progress]: [ 335 / 465 ] simplifiying candidate # 18.712 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.713 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.713 * * * * [progress]: [ 336 / 465 ] simplifiying candidate # 18.713 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.713 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.713 * * * * [progress]: [ 337 / 465 ] simplifiying candidate # 18.713 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow (* n 2) (/ (- 1 k) 4)) (/ (cbrt 1) (/ (sqrt k) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.714 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 4)))))) 18.714 * * * * [progress]: [ 338 / 465 ] simplifiying candidate # 18.714 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.714 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.714 * * * * [progress]: [ 339 / 465 ] simplifiying candidate # 18.714 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n 2) (/ (- 1 k) 2))))))) 18.714 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))) 18.715 * * * * [progress]: [ 340 / 465 ] simplifiying candidate # 18.715 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt k)) (pow (* n 2) 1/2)) (/ (cbrt 1) (pow (* n 2) (/ k 2)))))) 18.715 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt k)) (pow (* n 2) 1/2)) (/ 1 (pow (* n 2) (/ k 2)))))) 18.715 * * * * [progress]: [ 341 / 465 ] simplifiying candidate # 18.715 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.715 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.716 * * * * [progress]: [ 342 / 465 ] simplifiying candidate # 18.716 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.716 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.716 * * * * [progress]: [ 343 / 465 ] simplifiying candidate # 18.716 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.716 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (* (/ 1 (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))))) 18.716 * * * * [progress]: [ 344 / 465 ] simplifiying candidate # 18.717 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.717 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (/ 1 (cbrt (sqrt k))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.717 * * * * [progress]: [ 345 / 465 ] simplifiying candidate # 18.717 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.717 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.718 * * * * [progress]: [ 346 / 465 ] simplifiying candidate # 18.718 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.718 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 2)))))) 18.718 * * * * [progress]: [ 347 / 465 ] simplifiying candidate # 18.718 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* n 2) (/ (- 1 k) 4))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.718 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (cbrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.719 * * * * [progress]: [ 348 / 465 ] simplifiying candidate # 18.719 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.719 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (pow n (/ (- 1 k) 2))) (/ 1 (/ (sqrt (cbrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.719 * * * * [progress]: [ 349 / 465 ] simplifiying candidate # 18.719 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.720 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (* (/ 1 (sqrt (cbrt k))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.720 * * * * [progress]: [ 350 / 465 ] simplifiying candidate # 18.720 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.720 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (cbrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.720 * * * * [progress]: [ 351 / 465 ] simplifiying candidate # 18.720 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.721 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* n 2) (/ (- 1 k) 2)))))) 18.721 * * * * [progress]: [ 352 / 465 ] simplifiying candidate # 18.721 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (fabs (cbrt k)) (pow (* n 2) (/ (- 1 k) 4)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.721 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt (cbrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.721 * * * * [progress]: [ 353 / 465 ] simplifiying candidate # 18.722 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.722 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))))) 18.722 * * * * [progress]: [ 354 / 465 ] simplifiying candidate # 18.722 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.722 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.722 * * * * [progress]: [ 355 / 465 ] simplifiying candidate # 18.723 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.723 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.723 * * * * [progress]: [ 356 / 465 ] simplifiying candidate # 18.723 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.723 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.723 * * * * [progress]: [ 357 / 465 ] simplifiying candidate # 18.724 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.724 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.724 * * * * [progress]: [ 358 / 465 ] simplifiying candidate # 18.725 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))) 18.725 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.725 * * * * [progress]: [ 359 / 465 ] simplifiying candidate # 18.725 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.725 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.725 * * * * [progress]: [ 360 / 465 ] simplifiying candidate # 18.725 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.726 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.726 * * * * [progress]: [ 361 / 465 ] simplifiying candidate # 18.726 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 1) (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.726 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 1) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.726 * * * * [progress]: [ 362 / 465 ] simplifiying candidate # 18.726 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow (* n 2) (/ (- 1 k) 4)) (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.727 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 4)))))) 18.730 * * * * [progress]: [ 363 / 465 ] simplifiying candidate # 18.730 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.731 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))))) 18.731 * * * * [progress]: [ 364 / 465 ] simplifiying candidate # 18.731 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.731 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.731 * * * * [progress]: [ 365 / 465 ] simplifiying candidate # 18.732 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.732 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.732 * * * * [progress]: [ 366 / 465 ] simplifiying candidate # 18.732 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.732 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.732 * * * * [progress]: [ 367 / 465 ] simplifiying candidate # 18.733 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.733 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.733 * * * * [progress]: [ 368 / 465 ] simplifiying candidate # 18.733 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))) 18.733 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.733 * * * * [progress]: [ 369 / 465 ] simplifiying candidate # 18.734 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.734 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.734 * * * * [progress]: [ 370 / 465 ] simplifiying candidate # 18.734 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.734 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.734 * * * * [progress]: [ 371 / 465 ] simplifiying candidate # 18.735 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.735 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.735 * * * * [progress]: [ 372 / 465 ] simplifiying candidate # 18.735 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow (* n 2) (/ (- 1 k) 4)) (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.735 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (/ 1 (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 4)))))) 18.735 * * * * [progress]: [ 373 / 465 ] simplifiying candidate # 18.735 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.736 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.736 * * * * [progress]: [ 374 / 465 ] simplifiying candidate # 18.736 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* n 2) (/ (- 1 k) 2))))))) 18.736 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ (sqrt 1) (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))) 18.736 * * * * [progress]: [ 375 / 465 ] simplifiying candidate # 18.736 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt k)) (pow (* n 2) 1/2)) (/ (sqrt 1) (pow (* n 2) (/ k 2)))))) 18.736 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt k)) (pow (* n 2) 1/2)) (/ 1 (pow (* n 2) (/ k 2)))))) 18.737 * * * * [progress]: [ 376 / 465 ] simplifiying candidate # 18.737 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.737 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.737 * * * * [progress]: [ 377 / 465 ] simplifiying candidate # 18.737 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.737 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))))) 18.738 * * * * [progress]: [ 378 / 465 ] simplifiying candidate # 18.738 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))) (/ 1 (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.738 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (* (/ 1 (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))))) 18.738 * * * * [progress]: [ 379 / 465 ] simplifiying candidate # 18.738 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.738 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (/ 1 (cbrt (sqrt k))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.739 * * * * [progress]: [ 380 / 465 ] simplifiying candidate # 18.739 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.739 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.739 * * * * [progress]: [ 381 / 465 ] simplifiying candidate # 18.739 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.740 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 2)))))) 18.740 * * * * [progress]: [ 382 / 465 ] simplifiying candidate # 18.740 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* n 2) (/ (- 1 k) 4))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.740 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (cbrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.740 * * * * [progress]: [ 383 / 465 ] simplifiying candidate # 18.740 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (pow n (/ (- 1 k) 2))) (/ 1 (/ (sqrt (cbrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.741 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (pow n (/ (- 1 k) 2))) (/ 1 (/ (sqrt (cbrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.741 * * * * [progress]: [ 384 / 465 ] simplifiying candidate # 18.741 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.741 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (* (/ 1 (sqrt (cbrt k))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.741 * * * * [progress]: [ 385 / 465 ] simplifiying candidate # 18.741 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.742 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (cbrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.742 * * * * [progress]: [ 386 / 465 ] simplifiying candidate # 18.742 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.742 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* n 2) (/ (- 1 k) 2)))))) 18.742 * * * * [progress]: [ 387 / 465 ] simplifiying candidate # 18.742 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (fabs (cbrt k)) (pow (* n 2) (/ (- 1 k) 4)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.743 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt (cbrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.743 * * * * [progress]: [ 388 / 465 ] simplifiying candidate # 18.743 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ 1 (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.743 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))))) 18.743 * * * * [progress]: [ 389 / 465 ] simplifiying candidate # 18.743 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.744 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.744 * * * * [progress]: [ 390 / 465 ] simplifiying candidate # 18.744 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.744 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.744 * * * * [progress]: [ 391 / 465 ] simplifiying candidate # 18.744 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.745 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.745 * * * * [progress]: [ 392 / 465 ] simplifiying candidate # 18.745 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.745 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.745 * * * * [progress]: [ 393 / 465 ] simplifiying candidate # 18.745 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow n (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))) 18.745 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.745 * * * * [progress]: [ 394 / 465 ] simplifiying candidate # 18.745 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.745 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.746 * * * * [progress]: [ 395 / 465 ] simplifiying candidate # 18.746 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ 1 (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.746 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.746 * * * * [progress]: [ 396 / 465 ] simplifiying candidate # 18.746 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 1) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.746 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 1) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.746 * * * * [progress]: [ 397 / 465 ] simplifiying candidate # 18.746 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow (* n 2) (/ (- 1 k) 4)) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.746 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt 1) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 4)))))) 18.746 * * * * [progress]: [ 398 / 465 ] simplifiying candidate # 18.746 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ 1 (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))))))) 18.746 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))))) 18.747 * * * * [progress]: [ 399 / 465 ] simplifiying candidate # 18.747 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.747 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.747 * * * * [progress]: [ 400 / 465 ] simplifiying candidate # 18.747 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.747 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.747 * * * * [progress]: [ 401 / 465 ] simplifiying candidate # 18.747 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.747 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.747 * * * * [progress]: [ 402 / 465 ] simplifiying candidate # 18.747 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.747 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4)))))) 18.748 * * * * [progress]: [ 403 / 465 ] simplifiying candidate # 18.748 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow n (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow 2 (/ (- 1 k) 2))))))) 18.748 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.748 * * * * [progress]: [ 404 / 465 ] simplifiying candidate # 18.748 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.748 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.748 * * * * [progress]: [ 405 / 465 ] simplifiying candidate # 18.748 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ 1 (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2)))))))) 18.748 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.748 * * * * [progress]: [ 406 / 465 ] simplifiying candidate # 18.748 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.748 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.749 * * * * [progress]: [ 407 / 465 ] simplifiying candidate # 18.749 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (pow (* n 2) (/ (- 1 k) 4)) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (/ (- 1 k) 2) 2))))))) 18.749 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (/ 1 (pow (* n 2) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 4)))))) 18.749 * * * * [progress]: [ 408 / 465 ] simplifiying candidate # 18.749 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.749 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.749 * * * * [progress]: [ 409 / 465 ] simplifiying candidate # 18.749 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n 2) (/ (- 1 k) 2))))))) 18.749 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))) 18.749 * * * * [progress]: [ 410 / 465 ] simplifiying candidate # 18.749 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt k)) (pow (* n 2) 1/2)) (/ 1 (pow (* n 2) (/ k 2)))))) 18.749 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (* (/ 1 (sqrt k)) (pow (* n 2) 1/2)) (/ 1 (pow (* n 2) (/ k 2)))))) 18.749 * * * * [progress]: [ 411 / 465 ] simplifiying candidate # 18.750 * * * * [progress]: [ 412 / 465 ] simplifiying candidate # 18.750 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* 1 (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.750 * * * * [progress]: [ 413 / 465 ] simplifiying candidate # 18.750 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.750 * * * * [progress]: [ 414 / 465 ] simplifiying candidate # 18.750 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.750 * * * * [progress]: [ 415 / 465 ] simplifiying candidate # 18.750 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))) 18.750 * * * * [progress]: [ 416 / 465 ] simplifiying candidate # 18.750 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.750 * * * * [progress]: [ 417 / 465 ] simplifiying candidate # 18.750 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.750 * * * * [progress]: [ 418 / 465 ] simplifiying candidate # 18.750 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.751 * * * * [progress]: [ 419 / 465 ] simplifiying candidate # 18.751 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.751 * * * * [progress]: [ 420 / 465 ] simplifiying candidate # 18.751 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* n 2) (/ (- 1 k) 4))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.751 * * * * [progress]: [ 421 / 465 ] simplifiying candidate # 18.751 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (/ 1 (fabs (cbrt k))) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.751 * * * * [progress]: [ 422 / 465 ] simplifiying candidate # 18.751 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.751 * * * * [progress]: [ 423 / 465 ] simplifiying candidate # 18.751 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.751 * * * * [progress]: [ 424 / 465 ] simplifiying candidate # 18.751 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ 1 (fabs (cbrt k))) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.751 * * * * [progress]: [ 425 / 465 ] simplifiying candidate # 18.752 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ 1 (/ (fabs (cbrt k)) (pow (* n 2) (/ (- 1 k) 4)))) (/ (sqrt (cbrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.752 * * * * [progress]: [ 426 / 465 ] simplifiying candidate # 18.752 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.752 * * * * [progress]: [ 427 / 465 ] simplifiying candidate # 18.752 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.752 * * * * [progress]: [ 428 / 465 ] simplifiying candidate # 18.752 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.752 * * * * [progress]: [ 429 / 465 ] simplifiying candidate # 18.752 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.752 * * * * [progress]: [ 430 / 465 ] simplifiying candidate # 18.752 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.752 * * * * [progress]: [ 431 / 465 ] simplifiying candidate # 18.752 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))))) 18.753 * * * * [progress]: [ 432 / 465 ] simplifiying candidate # 18.753 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.753 * * * * [progress]: [ 433 / 465 ] simplifiying candidate # 18.753 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.753 * * * * [progress]: [ 434 / 465 ] simplifiying candidate # 18.753 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ 1 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.753 * * * * [progress]: [ 435 / 465 ] simplifiying candidate # 18.753 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 4)) (/ (sqrt k) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.753 * * * * [progress]: [ 436 / 465 ] simplifiying candidate # 18.753 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))))) 18.753 * * * * [progress]: [ 437 / 465 ] simplifiying candidate # 18.753 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.753 * * * * [progress]: [ 438 / 465 ] simplifiying candidate # 18.754 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.754 * * * * [progress]: [ 439 / 465 ] simplifiying candidate # 18.754 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- 1 k) 2)))))) 18.754 * * * * [progress]: [ 440 / 465 ] simplifiying candidate # 18.754 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (/ 1 (sqrt (sqrt k))) (pow (* n 2) (/ (- 1 k) 4))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.754 * * * * [progress]: [ 441 / 465 ] simplifiying candidate # 18.754 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow 2 (/ (- 1 k) 2)))))) 18.754 * * * * [progress]: [ 442 / 465 ] simplifiying candidate # 18.754 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.755 * * * * [progress]: [ 443 / 465 ] simplifiying candidate # 18.755 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- 1 k) 2))))))) 18.755 * * * * [progress]: [ 444 / 465 ] simplifiying candidate # 18.755 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.755 * * * * [progress]: [ 445 / 465 ] simplifiying candidate # 18.755 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (pow (* n 2) (/ (- 1 k) 4)) (/ (sqrt k) (pow (* n 2) (/ (/ (- 1 k) 2) 2)))))) 18.755 * * * * [progress]: [ 446 / 465 ] simplifiying candidate # 18.756 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.756 * * * * [progress]: [ 447 / 465 ] simplifiying candidate # 18.756 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n 2) (/ (- 1 k) 2)))))) 18.756 * * * * [progress]: [ 448 / 465 ] simplifiying candidate # 18.756 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (/ 1 (sqrt k)) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 18.756 * * * * [progress]: [ 449 / 465 ] simplifiying candidate # 18.756 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.756 * * * * [progress]: [ 450 / 465 ] simplifiying candidate # 18.756 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ (sqrt 1) (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.756 * * * * [progress]: [ 451 / 465 ] simplifiying candidate # 18.756 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2)))))) 18.756 * * * * [progress]: [ 452 / 465 ] simplifiying candidate # 18.756 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))) 18.756 * * * * [progress]: [ 453 / 465 ] simplifiying candidate #real (real->posit16 (/ 1 (/ (sqrt k) (pow (* n 2) (/ (- 1 k) 2))))))))> 18.756 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (posit16->real (real->posit16 (* (/ 1 (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))))) 18.757 * * * * [progress]: [ 454 / 465 ] simplifiying candidate # 18.757 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (+ (exp (* 1/2 (log (* n 2)))) (- (+ (+ (* 1/8 (* (* (* k k) (exp (* 1/2 (log (* n 2))))) (* (log 2) (log 2)))) (* 1/4 (* (* (* (exp (* 1/2 (log (* n 2)))) (log n)) (* k k)) (log 2)))) (* (* 1/8 (exp (* 1/2 (log (* n 2))))) (* (* (log n) (log n)) (* k k)))) (* 1/2 (+ (* (* k (log n)) (exp (* 1/2 (log (* n 2))))) (* (* (exp (* 1/2 (log (* n 2)))) k) (log 2)))))))))) 18.757 * * * * [progress]: [ 455 / 465 ] simplifiying candidate # 18.757 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))))))) 18.757 * * * * [progress]: [ 456 / 465 ] simplifiying candidate # 18.757 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k)))))))) 18.757 * * * * [progress]: [ 457 / 465 ] simplifiying candidate # 18.757 * [simplify]: Simplified (2) to (λ (k n) (- (- (* (* +nan.0 (sqrt 2)) (* (* PI n) k)) (- (* (* +nan.0 (sqrt 2)) (* PI n)) (- (* (* +nan.0 (log 2)) (* (* (* PI n) k) (sqrt 2))) (- (* (* +nan.0 (sqrt 2)) (* (* PI n) (* k (log n)))) (- (* +nan.0 (* (sqrt 2) (* (* PI n) (* k (log PI))))) (* (* +nan.0 (sqrt 2)) (* (* n n) (* PI PI)))))))))) 18.758 * * * * [progress]: [ 458 / 465 ] simplifiying candidate # 18.758 * [simplify]: Simplified (2) to (λ (k n) (- (- (* +nan.0 (/ (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* 1/2 (* (- 1 k) (log PI))))) (* k k))) (- (* (/ (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* 1/2 (* (- 1 k) (log PI))))) k) +nan.0) (* (/ (exp (+ (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))) (* 1/2 (* (- 1 k) (log PI))))) (* (* k k) k)) +nan.0))))) 18.758 * * * * [progress]: [ 459 / 465 ] simplifiying candidate # 18.758 * [simplify]: Simplified (2) to (λ (k n) (- (- (/ (* (exp (+ (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k))) (* 1/2 (* (- 1 k) (log PI))))) +nan.0) k) (- (/ (* (exp (+ (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k))) (* 1/2 (* (- 1 k) (log PI))))) +nan.0) (* k k)) (* (exp (+ (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k))) (* 1/2 (* (- 1 k) (log PI))))) +nan.0))))) 18.758 * * * * [progress]: [ 460 / 465 ] simplifiying candidate # 18.758 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (- (- (* +nan.0 (* k (sqrt 1/2))) (- (* (* +nan.0 (log 2)) (* (* (* k k) (* (sqrt 1/2) (sqrt 1/2))) (sqrt 2))) (- (* +nan.0 (* n (* k (sqrt 1/2)))) (- (* (* (sqrt 2) (* (* (* k k) (* (sqrt 1/2) (sqrt 1/2))) (log n))) +nan.0) (* (* +nan.0 (sqrt 1/2)) (* k k)))))))))) 18.759 * * * * [progress]: [ 461 / 465 ] simplifiying candidate # 18.759 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (- (- (/ (* +nan.0 1) (* (* k k) (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))))) (- (/ (* +nan.0 1) (* k (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))))) (/ (* +nan.0 1) (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))))))))))) 18.759 * * * * [progress]: [ 462 / 465 ] simplifiying candidate # 18.759 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (/ 1 (- (- (* +nan.0 (/ (/ 1 (exp (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k))))) (* k k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k)))))) (/ (* +nan.0 1) (* k (exp (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k)))))))))))) 18.759 * * * * [progress]: [ 463 / 465 ] simplifiying candidate # 18.759 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (- (- (* (* +nan.0 (sqrt 2)) (* n k)) (- (* (* (* (* k (log n)) n) (sqrt 2)) +nan.0) (- (* (* +nan.0 (sqrt 2)) n) (- (* (* +nan.0 (log 2)) (* (sqrt 2) (* n k))) (* +nan.0 (* (sqrt 2) (* n n)))))))))) 18.759 * * * * [progress]: [ 464 / 465 ] simplifiying candidate # 18.760 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (- (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))) (* k k)) +nan.0) (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n))))) k) +nan.0) (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log 2) (- (log n)))))) (* (* k k) k))))))) 18.760 * * * * [progress]: [ 465 / 465 ] simplifiying candidate # 18.760 * [simplify]: Simplified (2 2) to (λ (k n) (* (exp (* (/ (- 1 k) 2) (log PI))) (- (- (* (exp (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k)))) +nan.0) (- (/ (* (exp (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k)))) +nan.0) k) (* (/ (exp (* 1/2 (* (- (log -2) (log (/ -1 n))) (- 1 k)))) (* k k)) +nan.0)))))) 18.760 * * * [progress]: adding candidates to table 25.099 * [progress]: [Phase 3 of 3] Extracting. 25.099 * * [regime]: Finding splitpoints for: (# # # # # #) 25.100 * * * [regime-changes]: Trying 2 branch expressions: (n k) 25.100 * * * * [regimes]: Trying to branch on n from (# # # # # #) 25.152 * * * * [regimes]: Trying to branch on k from (# # # # # #) 25.200 * * * [regime]: Found split indices: #