0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.090 * * * [progress]: [2/2] Setting up program. 0.092 * [progress]: [Phase 2 of 3] Improving. 0.092 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.093 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.093 * * [simplify]: iters left: 5 (6 enodes) 0.094 * * [simplify]: iters left: 4 (23 enodes) 0.098 * * [simplify]: iters left: 3 (28 enodes) 0.102 * * [simplify]: Extracting #0: cost 1 inf + 0 0.102 * * [simplify]: Extracting #1: cost 5 inf + 0 0.102 * * [simplify]: Extracting #2: cost 10 inf + 0 0.102 * * [simplify]: Extracting #3: cost 11 inf + 1 0.102 * * [simplify]: Extracting #4: cost 6 inf + 228 0.102 * * [simplify]: Extracting #5: cost 1 inf + 896 0.103 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.103 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.103 * [simplify]: Simplified (2) to (λ (N) (- (log (+ 1 N)) (log N))) 0.105 * * [progress]: iteration 1 / 4 0.105 * * * [progress]: picking best candidate 0.108 * * * * [pick]: Picked # 0.108 * * * [progress]: localizing error 0.120 * * * [progress]: generating rewritten candidates 0.120 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.123 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.548 * * * [progress]: generating series expansions 0.548 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.548 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.548 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.548 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.548 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.548 * [taylor]: Taking taylor expansion of N in N 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [taylor]: Taking taylor expansion of 1 in N 0.548 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (+ 0 1) into 1 0.549 * [backup-simplify]: Simplify (log 1) into 0 0.549 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.549 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.549 * [taylor]: Taking taylor expansion of N in N 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [taylor]: Taking taylor expansion of 1 in N 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (+ 0 1) into 1 0.550 * [backup-simplify]: Simplify (log 1) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (+ 1 0) into 1 0.552 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.552 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.555 * [backup-simplify]: Simplify -1/2 into -1/2 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.558 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.558 * [backup-simplify]: Simplify 1/3 into 1/3 0.558 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 0.558 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.558 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.558 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.558 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.558 * [taylor]: Taking taylor expansion of N in N 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (/ 1 1) into 1 0.559 * [taylor]: Taking taylor expansion of 1 in N 0.559 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (+ 1 0) into 1 0.559 * [backup-simplify]: Simplify (log 1) into 0 0.559 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.559 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.559 * [taylor]: Taking taylor expansion of N in N 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (/ 1 1) into 1 0.560 * [taylor]: Taking taylor expansion of 1 in N 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (+ 1 0) into 1 0.560 * [backup-simplify]: Simplify (log 1) into 0 0.561 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.561 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ 0 1) into 1 0.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.562 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.565 * [backup-simplify]: Simplify -1/2 into -1/2 0.565 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.565 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.565 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.565 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.565 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.565 * [taylor]: Taking taylor expansion of 1 in N 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [backup-simplify]: Simplify (- 1) into -1 0.566 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.566 * [backup-simplify]: Simplify (log -1) into (log -1) 0.566 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.566 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.566 * [taylor]: Taking taylor expansion of 1 in N 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.567 * [backup-simplify]: Simplify (- 1) into -1 0.567 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.567 * [backup-simplify]: Simplify (log -1) into (log -1) 0.568 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.568 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (- 0) into 0 0.569 * [backup-simplify]: Simplify (+ 1 0) into 1 0.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.570 * [backup-simplify]: Simplify -1 into -1 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (- 0) into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.572 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.572 * [backup-simplify]: Simplify -1/2 into -1/2 0.573 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.573 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.573 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.573 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.573 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.573 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.573 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.573 * [taylor]: Taking taylor expansion of N in N 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [taylor]: Taking taylor expansion of 1 in N 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (+ 0 1) into 1 0.574 * [backup-simplify]: Simplify (log 1) into 0 0.574 * [taylor]: Taking taylor expansion of (log N) in N 0.574 * [taylor]: Taking taylor expansion of N in N 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (log 1) into 0 0.574 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.574 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.574 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.574 * [taylor]: Taking taylor expansion of N in N 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [taylor]: Taking taylor expansion of 1 in N 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (+ 0 1) into 1 0.575 * [backup-simplify]: Simplify (log 1) into 0 0.575 * [taylor]: Taking taylor expansion of (log N) in N 0.575 * [taylor]: Taking taylor expansion of N in N 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify (log 1) into 0 0.575 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.575 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.575 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.575 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.576 * [backup-simplify]: Simplify (+ 1 0) into 1 0.576 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.578 * [backup-simplify]: Simplify (+ 1 0) into 1 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.579 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.581 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.581 * [backup-simplify]: Simplify (- 0) into 0 0.582 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.582 * [backup-simplify]: Simplify -1/2 into -1/2 0.582 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.582 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.582 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.582 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.582 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.582 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (/ 1 1) into 1 0.582 * [taylor]: Taking taylor expansion of 1 in N 0.582 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (+ 1 0) into 1 0.583 * [backup-simplify]: Simplify (log 1) into 0 0.583 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.583 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.583 * [taylor]: Taking taylor expansion of N in N 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (/ 1 1) into 1 0.583 * [backup-simplify]: Simplify (log 1) into 0 0.583 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.583 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.583 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.583 * [taylor]: Taking taylor expansion of N in N 0.583 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (/ 1 1) into 1 0.584 * [taylor]: Taking taylor expansion of 1 in N 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (+ 1 0) into 1 0.584 * [backup-simplify]: Simplify (log 1) into 0 0.584 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.584 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.584 * [taylor]: Taking taylor expansion of N in N 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (/ 1 1) into 1 0.585 * [backup-simplify]: Simplify (log 1) into 0 0.585 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.585 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.586 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.586 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ 0 1) into 1 0.587 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.588 * [backup-simplify]: Simplify (- 0) into 0 0.589 * [backup-simplify]: Simplify (+ 1 0) into 1 0.589 * [backup-simplify]: Simplify 1 into 1 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.591 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.594 * [backup-simplify]: Simplify (- 0) into 0 0.594 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.594 * [backup-simplify]: Simplify -1/2 into -1/2 0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.601 * [backup-simplify]: Simplify (- 0) into 0 0.601 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.601 * [backup-simplify]: Simplify 1/3 into 1/3 0.602 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.602 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.602 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.602 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.602 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.602 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.602 * [taylor]: Taking taylor expansion of 1 in N 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (/ 1 1) into 1 0.602 * [backup-simplify]: Simplify (- 1) into -1 0.603 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.603 * [backup-simplify]: Simplify (log -1) into (log -1) 0.603 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.603 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.603 * [taylor]: Taking taylor expansion of -1 in N 0.603 * [backup-simplify]: Simplify -1 into -1 0.603 * [taylor]: Taking taylor expansion of N in N 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [backup-simplify]: Simplify (/ -1 1) into -1 0.604 * [backup-simplify]: Simplify (log -1) into (log -1) 0.604 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.604 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.604 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.604 * [taylor]: Taking taylor expansion of 1 in N 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [backup-simplify]: Simplify (/ 1 1) into 1 0.604 * [backup-simplify]: Simplify (- 1) into -1 0.604 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.605 * [backup-simplify]: Simplify (log -1) into (log -1) 0.605 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.605 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.605 * [taylor]: Taking taylor expansion of -1 in N 0.605 * [backup-simplify]: Simplify -1 into -1 0.605 * [taylor]: Taking taylor expansion of N in N 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (/ -1 1) into -1 0.605 * [backup-simplify]: Simplify (log -1) into (log -1) 0.606 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.606 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.607 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.607 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (- 0) into 0 0.608 * [backup-simplify]: Simplify (+ 1 0) into 1 0.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.610 * [backup-simplify]: Simplify (- 0) into 0 0.611 * [backup-simplify]: Simplify (+ -1 0) into -1 0.611 * [backup-simplify]: Simplify -1 into -1 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (- 0) into 0 0.612 * [backup-simplify]: Simplify (+ 0 0) into 0 0.613 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.616 * [backup-simplify]: Simplify (- 0) into 0 0.617 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.617 * [backup-simplify]: Simplify -1/2 into -1/2 0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (- 0) into 0 0.618 * [backup-simplify]: Simplify (+ 0 0) into 0 0.623 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 0.629 * [backup-simplify]: Simplify (- 0) into 0 0.629 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.629 * [backup-simplify]: Simplify -1/3 into -1/3 0.630 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.630 * * * [progress]: simplifying candidates 0.630 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.630 * [simplify]: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 0.630 * * [simplify]: iters left: 6 (6 enodes) 0.639 * * [simplify]: iters left: 5 (23 enodes) 0.646 * * [simplify]: iters left: 4 (27 enodes) 0.653 * * [simplify]: Extracting #0: cost 1 inf + 0 0.654 * * [simplify]: Extracting #1: cost 4 inf + 0 0.654 * * [simplify]: Extracting #2: cost 7 inf + 0 0.654 * * [simplify]: Extracting #3: cost 9 inf + 0 0.654 * * [simplify]: Extracting #4: cost 12 inf + 0 0.654 * * [simplify]: Extracting #5: cost 10 inf + 2 0.654 * * [simplify]: Extracting #6: cost 8 inf + 86 0.654 * * [simplify]: Extracting #7: cost 1 inf + 1270 0.654 * * [simplify]: Extracting #8: cost 0 inf + 1502 0.655 * [simplify]: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 0.655 * [simplify]: Simplified (2 1 1) to (λ (N) (- (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ N 1)))) (log N))) 0.655 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.655 * [simplify]: Simplifying (log (sqrt (+ N 1))) 0.655 * * [simplify]: iters left: 4 (5 enodes) 0.656 * * [simplify]: iters left: 3 (18 enodes) 0.659 * * [simplify]: iters left: 2 (20 enodes) 0.662 * * [simplify]: Extracting #0: cost 1 inf + 0 0.662 * * [simplify]: Extracting #1: cost 3 inf + 0 0.662 * * [simplify]: Extracting #2: cost 5 inf + 0 0.662 * * [simplify]: Extracting #3: cost 8 inf + 0 0.662 * * [simplify]: Extracting #4: cost 6 inf + 2 0.662 * * [simplify]: Extracting #5: cost 0 inf + 554 0.663 * [simplify]: Simplified to (log (sqrt (+ 1 N))) 0.663 * [simplify]: Simplified (2 1 1) to (λ (N) (- (+ (log (sqrt (+ 1 N))) (log (sqrt (+ N 1)))) (log N))) 0.663 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.663 * [simplify]: Simplifying (log 1) 0.663 * * [simplify]: iters left: 1 (2 enodes) 0.664 * * [simplify]: Extracting #0: cost 1 inf + 0 0.664 * * [simplify]: Extracting #1: cost 0 inf + 1 0.664 * [simplify]: Simplified to 0 0.664 * [simplify]: Simplified (2 1 1) to (λ (N) (- (+ 0 (log (+ N 1))) (log N))) 0.664 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.665 * [simplify]: Simplifying (log 1) 0.665 * * [simplify]: iters left: 1 (2 enodes) 0.666 * * [simplify]: Extracting #0: cost 1 inf + 0 0.666 * * [simplify]: Extracting #1: cost 0 inf + 1 0.666 * [simplify]: Simplified to 0 0.666 * [simplify]: Simplified (2 1 1) to (λ (N) (- (+ 0 (log (+ N 1))) (log N))) 0.666 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.666 * [simplify]: Simplifying (log (+ (pow N 3) (pow 1 3))) 0.666 * * [simplify]: iters left: 4 (7 enodes) 0.669 * * [simplify]: iters left: 3 (32 enodes) 0.675 * * [simplify]: iters left: 2 (50 enodes) 0.684 * * [simplify]: iters left: 1 (76 enodes) 0.697 * * [simplify]: Extracting #0: cost 1 inf + 0 0.697 * * [simplify]: Extracting #1: cost 3 inf + 0 0.697 * * [simplify]: Extracting #2: cost 6 inf + 0 0.697 * * [simplify]: Extracting #3: cost 13 inf + 1 0.697 * * [simplify]: Extracting #4: cost 19 inf + 3 0.698 * * [simplify]: Extracting #5: cost 11 inf + 1653 0.698 * * [simplify]: Extracting #6: cost 2 inf + 4395 0.698 * * [simplify]: Extracting #7: cost 0 inf + 4215 0.699 * [simplify]: Simplified to (log (+ 1 (* (* N N) N))) 0.699 * [simplify]: Simplified (2 1 1) to (λ (N) (- (- (log (+ 1 (* (* N N) N))) (log (+ (* N N) (- (* 1 1) (* N 1))))) (log N))) 0.699 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.699 * [simplify]: Simplifying (log (- (* N N) (* 1 1))) 0.699 * * [simplify]: iters left: 5 (6 enodes) 0.701 * * [simplify]: iters left: 4 (21 enodes) 0.704 * * [simplify]: iters left: 3 (28 enodes) 0.709 * * [simplify]: iters left: 2 (38 enodes) 0.714 * * [simplify]: iters left: 1 (59 enodes) 0.734 * * [simplify]: Extracting #0: cost 1 inf + 0 0.734 * * [simplify]: Extracting #1: cost 5 inf + 0 0.734 * * [simplify]: Extracting #2: cost 16 inf + 0 0.734 * * [simplify]: Extracting #3: cost 25 inf + 2 0.734 * * [simplify]: Extracting #4: cost 15 inf + 570 0.735 * * [simplify]: Extracting #5: cost 3 inf + 1563 0.736 * * [simplify]: Extracting #6: cost 0 inf + 1829 0.737 * [simplify]: Simplified to (log (+ -1 (* N N))) 0.737 * [simplify]: Simplified (2 1 1) to (λ (N) (- (- (log (+ -1 (* N N))) (log (- N 1))) (log N))) 0.738 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.738 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.738 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.738 * [simplify]: Simplifying (+ N 1) 0.738 * * [simplify]: iters left: 2 (3 enodes) 0.740 * * [simplify]: iters left: 1 (12 enodes) 0.744 * * [simplify]: Extracting #0: cost 1 inf + 0 0.744 * * [simplify]: Extracting #1: cost 4 inf + 0 0.744 * * [simplify]: Extracting #2: cost 2 inf + 2 0.744 * * [simplify]: Extracting #3: cost 0 inf + 86 0.744 * [simplify]: Simplified to (+ 1 N) 0.744 * [simplify]: Simplified (2 1 1) to (λ (N) (- (log (+ 1 N)) (log N))) 0.745 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.745 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.745 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.745 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.745 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.745 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.745 * * * * [progress]: [ 16 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.745 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.745 * [simplify]: Simplifying (/ (+ N 1) N) 0.745 * * [simplify]: iters left: 4 (4 enodes) 0.748 * * [simplify]: iters left: 3 (15 enodes) 0.751 * * [simplify]: iters left: 2 (17 enodes) 0.754 * * [simplify]: Extracting #0: cost 1 inf + 0 0.754 * * [simplify]: Extracting #1: cost 4 inf + 0 0.754 * * [simplify]: Extracting #2: cost 5 inf + 1 0.754 * * [simplify]: Extracting #3: cost 3 inf + 44 0.754 * * [simplify]: Extracting #4: cost 1 inf + 168 0.754 * * [simplify]: Extracting #5: cost 0 inf + 250 0.754 * [simplify]: Simplified to (/ (+ 1 N) N) 0.754 * [simplify]: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) 0.754 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.754 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.754 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.754 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.754 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.755 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.755 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.755 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.755 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.755 * * * * [progress]: [ 27 / 49 ] simplifiying candidate # 0.755 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.755 * [simplify]: Simplifying (+ (sqrt (log (+ N 1))) (sqrt (log N))) 0.755 * * [simplify]: iters left: 6 (8 enodes) 0.757 * * [simplify]: iters left: 5 (28 enodes) 0.761 * * [simplify]: iters left: 4 (30 enodes) 0.765 * * [simplify]: Extracting #0: cost 1 inf + 0 0.765 * * [simplify]: Extracting #1: cost 4 inf + 0 0.765 * * [simplify]: Extracting #2: cost 8 inf + 0 0.765 * * [simplify]: Extracting #3: cost 12 inf + 0 0.765 * * [simplify]: Extracting #4: cost 10 inf + 254 0.765 * * [simplify]: Extracting #5: cost 8 inf + 366 0.765 * * [simplify]: Extracting #6: cost 5 inf + 562 0.766 * * [simplify]: Extracting #7: cost 1 inf + 1280 0.766 * * [simplify]: Extracting #8: cost 0 inf + 1582 0.766 * [simplify]: Simplified to (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) 0.766 * [simplify]: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ N 1))) (sqrt (log N))))) 0.766 * [simplify]: Simplifying (- (sqrt (log (+ N 1))) (sqrt (log N))) 0.766 * * [simplify]: iters left: 6 (8 enodes) 0.768 * * [simplify]: iters left: 5 (29 enodes) 0.773 * * [simplify]: iters left: 4 (34 enodes) 0.778 * * [simplify]: Extracting #0: cost 1 inf + 0 0.778 * * [simplify]: Extracting #1: cost 5 inf + 0 0.778 * * [simplify]: Extracting #2: cost 10 inf + 0 0.778 * * [simplify]: Extracting #3: cost 14 inf + 0 0.778 * * [simplify]: Extracting #4: cost 15 inf + 1 0.778 * * [simplify]: Extracting #5: cost 13 inf + 73 0.778 * * [simplify]: Extracting #6: cost 5 inf + 864 0.778 * * [simplify]: Extracting #7: cost 0 inf + 1884 0.779 * [simplify]: Simplified to (- (sqrt (log (+ 1 N))) (sqrt (log N))) 0.779 * [simplify]: Simplified (2 2) to (λ (N) (* (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ 1 N))) (sqrt (log N))))) 0.779 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.779 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.779 * * [simplify]: iters left: 5 (6 enodes) 0.780 * * [simplify]: iters left: 4 (23 enodes) 0.784 * * [simplify]: iters left: 3 (28 enodes) 0.788 * * [simplify]: Extracting #0: cost 1 inf + 0 0.788 * * [simplify]: Extracting #1: cost 5 inf + 0 0.788 * * [simplify]: Extracting #2: cost 10 inf + 0 0.788 * * [simplify]: Extracting #3: cost 11 inf + 1 0.788 * * [simplify]: Extracting #4: cost 6 inf + 228 0.788 * * [simplify]: Extracting #5: cost 1 inf + 896 0.788 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.789 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.789 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) 0.789 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.789 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.789 * * [simplify]: iters left: 5 (6 enodes) 0.791 * * [simplify]: iters left: 4 (23 enodes) 0.794 * * [simplify]: iters left: 3 (28 enodes) 0.798 * * [simplify]: Extracting #0: cost 1 inf + 0 0.798 * * [simplify]: Extracting #1: cost 5 inf + 0 0.798 * * [simplify]: Extracting #2: cost 10 inf + 0 0.798 * * [simplify]: Extracting #3: cost 11 inf + 1 0.798 * * [simplify]: Extracting #4: cost 6 inf + 228 0.799 * * [simplify]: Extracting #5: cost 1 inf + 896 0.799 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.799 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.799 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) 0.799 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.799 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.799 * * [simplify]: iters left: 5 (6 enodes) 0.801 * * [simplify]: iters left: 4 (23 enodes) 0.804 * * [simplify]: iters left: 3 (28 enodes) 0.808 * * [simplify]: Extracting #0: cost 1 inf + 0 0.808 * * [simplify]: Extracting #1: cost 5 inf + 0 0.808 * * [simplify]: Extracting #2: cost 10 inf + 0 0.808 * * [simplify]: Extracting #3: cost 11 inf + 1 0.808 * * [simplify]: Extracting #4: cost 6 inf + 228 0.809 * * [simplify]: Extracting #5: cost 1 inf + 896 0.809 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.809 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.809 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) 0.809 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.809 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.809 * * [simplify]: iters left: 5 (6 enodes) 0.811 * * [simplify]: iters left: 4 (23 enodes) 0.815 * * [simplify]: iters left: 3 (28 enodes) 0.821 * * [simplify]: Extracting #0: cost 1 inf + 0 0.822 * * [simplify]: Extracting #1: cost 5 inf + 0 0.822 * * [simplify]: Extracting #2: cost 10 inf + 0 0.822 * * [simplify]: Extracting #3: cost 11 inf + 1 0.822 * * [simplify]: Extracting #4: cost 6 inf + 228 0.822 * * [simplify]: Extracting #5: cost 1 inf + 896 0.822 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.823 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.823 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) 0.823 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.823 * [simplify]: Simplifying (log (cbrt N)) 0.823 * * [simplify]: iters left: 2 (3 enodes) 0.824 * * [simplify]: iters left: 1 (9 enodes) 0.826 * * [simplify]: Extracting #0: cost 1 inf + 0 0.826 * * [simplify]: Extracting #1: cost 3 inf + 0 0.826 * * [simplify]: Extracting #2: cost 5 inf + 0 0.826 * * [simplify]: Extracting #3: cost 4 inf + 1 0.828 * * [simplify]: Extracting #4: cost 0 inf + 465 0.828 * [simplify]: Simplified to (log (cbrt N)) 0.829 * [simplify]: Simplified (2 2) to (λ (N) (- (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (log (cbrt N)))) 0.829 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.829 * [simplify]: Simplifying (log (sqrt N)) 0.829 * * [simplify]: iters left: 2 (3 enodes) 0.830 * * [simplify]: iters left: 1 (9 enodes) 0.832 * * [simplify]: Extracting #0: cost 1 inf + 0 0.832 * * [simplify]: Extracting #1: cost 3 inf + 0 0.832 * * [simplify]: Extracting #2: cost 5 inf + 0 0.832 * * [simplify]: Extracting #3: cost 4 inf + 1 0.832 * * [simplify]: Extracting #4: cost 0 inf + 305 0.833 * [simplify]: Simplified to (log (sqrt N)) 0.833 * [simplify]: Simplified (2 2) to (λ (N) (- (- (log (+ N 1)) (log (sqrt N))) (log (sqrt N)))) 0.833 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.833 * [simplify]: Simplifying (log N) 0.833 * * [simplify]: iters left: 1 (2 enodes) 0.834 * * [simplify]: Extracting #0: cost 1 inf + 0 0.834 * * [simplify]: Extracting #1: cost 3 inf + 0 0.834 * * [simplify]: Extracting #2: cost 2 inf + 1 0.834 * * [simplify]: Extracting #3: cost 0 inf + 143 0.834 * [simplify]: Simplified to (log N) 0.834 * [simplify]: Simplified (2 2) to (λ (N) (- (- (log (+ N 1)) (log 1)) (log N))) 0.834 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.834 * [simplify]: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 0.834 * * [simplify]: iters left: 6 (6 enodes) 0.837 * * [simplify]: iters left: 5 (23 enodes) 0.844 * * [simplify]: iters left: 4 (27 enodes) 0.850 * * [simplify]: Extracting #0: cost 1 inf + 0 0.850 * * [simplify]: Extracting #1: cost 4 inf + 0 0.850 * * [simplify]: Extracting #2: cost 7 inf + 0 0.850 * * [simplify]: Extracting #3: cost 9 inf + 0 0.850 * * [simplify]: Extracting #4: cost 12 inf + 0 0.851 * * [simplify]: Extracting #5: cost 10 inf + 2 0.851 * * [simplify]: Extracting #6: cost 8 inf + 86 0.851 * * [simplify]: Extracting #7: cost 1 inf + 1270 0.851 * * [simplify]: Extracting #8: cost 0 inf + 1502 0.852 * [simplify]: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 0.852 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (- (log (cbrt (+ N 1))) (log N)))) 0.852 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.852 * [simplify]: Simplifying (log (sqrt (+ N 1))) 0.852 * * [simplify]: iters left: 4 (5 enodes) 0.855 * * [simplify]: iters left: 3 (18 enodes) 0.860 * * [simplify]: iters left: 2 (20 enodes) 0.866 * * [simplify]: Extracting #0: cost 1 inf + 0 0.866 * * [simplify]: Extracting #1: cost 3 inf + 0 0.866 * * [simplify]: Extracting #2: cost 5 inf + 0 0.866 * * [simplify]: Extracting #3: cost 8 inf + 0 0.866 * * [simplify]: Extracting #4: cost 6 inf + 2 0.867 * * [simplify]: Extracting #5: cost 0 inf + 554 0.867 * [simplify]: Simplified to (log (sqrt (+ 1 N))) 0.867 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (sqrt (+ 1 N))) (- (log (sqrt (+ N 1))) (log N)))) 0.867 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.867 * [simplify]: Simplifying (log 1) 0.867 * * [simplify]: iters left: 1 (2 enodes) 0.869 * * [simplify]: Extracting #0: cost 1 inf + 0 0.869 * * [simplify]: Extracting #1: cost 0 inf + 1 0.869 * [simplify]: Simplified to 0 0.869 * [simplify]: Simplified (2 1) to (λ (N) (+ 0 (- (log (+ N 1)) (log N)))) 0.870 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.870 * [simplify]: Simplifying (log 1) 0.870 * * [simplify]: iters left: 1 (2 enodes) 0.872 * * [simplify]: Extracting #0: cost 1 inf + 0 0.872 * * [simplify]: Extracting #1: cost 0 inf + 1 0.872 * [simplify]: Simplified to 0 0.872 * [simplify]: Simplified (2 1) to (λ (N) (+ 0 (- (log (+ N 1)) (log N)))) 0.872 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.872 * [simplify]: Simplifying (log (+ (pow N 3) (pow 1 3))) 0.872 * * [simplify]: iters left: 4 (7 enodes) 0.877 * * [simplify]: iters left: 3 (32 enodes) 0.883 * * [simplify]: iters left: 2 (50 enodes) 0.893 * * [simplify]: iters left: 1 (76 enodes) 0.906 * * [simplify]: Extracting #0: cost 1 inf + 0 0.906 * * [simplify]: Extracting #1: cost 3 inf + 0 0.906 * * [simplify]: Extracting #2: cost 6 inf + 0 0.906 * * [simplify]: Extracting #3: cost 13 inf + 1 0.906 * * [simplify]: Extracting #4: cost 19 inf + 3 0.906 * * [simplify]: Extracting #5: cost 11 inf + 1653 0.906 * * [simplify]: Extracting #6: cost 2 inf + 4395 0.907 * * [simplify]: Extracting #7: cost 0 inf + 4215 0.907 * [simplify]: Simplified to (log (+ 1 (* (* N N) N))) 0.907 * [simplify]: Simplified (2 1) to (λ (N) (- (log (+ 1 (* (* N N) N))) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)))) 0.907 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.908 * [simplify]: Simplifying (log (- (* N N) (* 1 1))) 0.908 * * [simplify]: iters left: 5 (6 enodes) 0.909 * * [simplify]: iters left: 4 (21 enodes) 0.915 * * [simplify]: iters left: 3 (28 enodes) 0.923 * * [simplify]: iters left: 2 (38 enodes) 0.934 * * [simplify]: iters left: 1 (59 enodes) 0.956 * * [simplify]: Extracting #0: cost 1 inf + 0 0.956 * * [simplify]: Extracting #1: cost 5 inf + 0 0.957 * * [simplify]: Extracting #2: cost 16 inf + 0 0.957 * * [simplify]: Extracting #3: cost 25 inf + 2 0.957 * * [simplify]: Extracting #4: cost 15 inf + 570 0.958 * * [simplify]: Extracting #5: cost 3 inf + 1563 0.959 * * [simplify]: Extracting #6: cost 0 inf + 1829 0.960 * [simplify]: Simplified to (log (+ -1 (* N N))) 0.960 * [simplify]: Simplified (2 1) to (λ (N) (- (log (+ -1 (* N N))) (+ (log (- N 1)) (log N)))) 0.960 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.961 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.961 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.961 * [simplify]: Simplifying (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 0.961 * * [simplify]: iters left: 6 (11 enodes) 0.966 * * [simplify]: iters left: 5 (51 enodes) 0.976 * * [simplify]: iters left: 4 (104 enodes) 0.999 * * [simplify]: iters left: 3 (193 enodes) 1.048 * * [simplify]: iters left: 2 (303 enodes) 1.125 * * [simplify]: Extracting #0: cost 1 inf + 0 1.125 * * [simplify]: Extracting #1: cost 14 inf + 0 1.126 * * [simplify]: Extracting #2: cost 58 inf + 42 1.126 * * [simplify]: Extracting #3: cost 103 inf + 495 1.128 * * [simplify]: Extracting #4: cost 68 inf + 4250 1.133 * * [simplify]: Extracting #5: cost 24 inf + 18384 1.143 * * [simplify]: Extracting #6: cost 0 inf + 30897 1.151 * * [simplify]: Extracting #7: cost 0 inf + 30777 1.158 * [simplify]: Simplified to (+ (* N (* N (+ -1/2 (* N 1/3)))) N) 1.158 * [simplify]: Simplified (2 1) to (λ (N) (- (+ (* N (* N (+ -1/2 (* N 1/3)))) N) (log N))) 1.158 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 1.158 * [simplify]: Simplifying (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 1.159 * * [simplify]: iters left: 6 (11 enodes) 1.163 * * [simplify]: iters left: 5 (51 enodes) 1.171 * * [simplify]: iters left: 4 (72 enodes) 1.182 * * [simplify]: iters left: 3 (103 enodes) 1.200 * * [simplify]: iters left: 2 (138 enodes) 1.238 * * [simplify]: iters left: 1 (194 enodes) 1.327 * * [simplify]: Extracting #0: cost 1 inf + 0 1.327 * * [simplify]: Extracting #1: cost 27 inf + 0 1.327 * * [simplify]: Extracting #2: cost 66 inf + 1 1.328 * * [simplify]: Extracting #3: cost 68 inf + 6 1.329 * * [simplify]: Extracting #4: cost 35 inf + 2821 1.331 * * [simplify]: Extracting #5: cost 5 inf + 7314 1.334 * * [simplify]: Extracting #6: cost 0 inf + 8328 1.336 * [simplify]: Simplified to (+ (/ 1 N) (- (log N) (/ 1/2 (* N N)))) 1.336 * [simplify]: Simplified (2 1) to (λ (N) (- (+ (/ 1 N) (- (log N) (/ 1/2 (* N N)))) (log N))) 1.336 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 1.337 * [simplify]: Simplifying (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 1.337 * * [simplify]: iters left: 6 (15 enodes) 1.342 * * [simplify]: iters left: 5 (64 enodes) 1.353 * * [simplify]: iters left: 4 (108 enodes) 1.388 * * [simplify]: iters left: 3 (221 enodes) 1.463 * * [simplify]: iters left: 2 (449 enodes) 1.615 * * [simplify]: Extracting #0: cost 1 inf + 0 1.615 * * [simplify]: Extracting #1: cost 103 inf + 0 1.616 * * [simplify]: Extracting #2: cost 257 inf + 1 1.618 * * [simplify]: Extracting #3: cost 216 inf + 8293 1.637 * * [simplify]: Extracting #4: cost 27 inf + 48808 1.656 * * [simplify]: Extracting #5: cost 0 inf + 56449 1.671 * [simplify]: Simplified to (+ (/ (/ -1/2 N) N) (+ (/ 1 N) (log N))) 1.671 * [simplify]: Simplified (2 1) to (λ (N) (- (+ (/ (/ -1/2 N) N) (+ (/ 1 N) (log N))) (log N))) 1.671 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 1.671 * [simplify]: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1.671 * * [simplify]: iters left: 6 (8 enodes) 1.675 * * [simplify]: iters left: 5 (35 enodes) 1.687 * * [simplify]: iters left: 4 (56 enodes) 1.705 * * [simplify]: iters left: 3 (95 enodes) 1.720 * * [simplify]: iters left: 2 (128 enodes) 1.741 * * [simplify]: iters left: 1 (162 enodes) 1.785 * * [simplify]: Extracting #0: cost 1 inf + 0 1.786 * * [simplify]: Extracting #1: cost 16 inf + 0 1.786 * * [simplify]: Extracting #2: cost 33 inf + 1 1.786 * * [simplify]: Extracting #3: cost 30 inf + 525 1.787 * * [simplify]: Extracting #4: cost 6 inf + 3093 1.788 * * [simplify]: Extracting #5: cost 0 inf + 4025 1.790 * * [simplify]: Extracting #6: cost 0 inf + 3985 1.791 * [simplify]: Simplified to (- N (+ (log N) (* N (* N 1/2)))) 1.791 * [simplify]: Simplified (2) to (λ (N) (- N (+ (log N) (* N (* N 1/2))))) 1.791 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 1.791 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1.791 * * [simplify]: iters left: 6 (15 enodes) 1.797 * * [simplify]: iters left: 5 (68 enodes) 1.810 * * [simplify]: iters left: 4 (114 enodes) 1.843 * * [simplify]: iters left: 3 (170 enodes) 1.899 * * [simplify]: iters left: 2 (278 enodes) 1.962 * * [simplify]: Extracting #0: cost 1 inf + 0 1.962 * * [simplify]: Extracting #1: cost 11 inf + 0 1.962 * * [simplify]: Extracting #2: cost 69 inf + 0 1.963 * * [simplify]: Extracting #3: cost 110 inf + 741 1.964 * * [simplify]: Extracting #4: cost 88 inf + 3078 1.966 * * [simplify]: Extracting #5: cost 40 inf + 17981 1.970 * * [simplify]: Extracting #6: cost 6 inf + 30433 1.974 * * [simplify]: Extracting #7: cost 0 inf + 32845 1.978 * * [simplify]: Extracting #8: cost 0 inf + 32765 1.984 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 1.984 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 1.984 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 1.985 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1.985 * * [simplify]: iters left: 6 (15 enodes) 1.996 * * [simplify]: iters left: 5 (68 enodes) 2.023 * * [simplify]: iters left: 4 (114 enodes) 2.067 * * [simplify]: iters left: 3 (170 enodes) 2.117 * * [simplify]: iters left: 2 (278 enodes) 2.168 * * [simplify]: Extracting #0: cost 1 inf + 0 2.168 * * [simplify]: Extracting #1: cost 11 inf + 0 2.168 * * [simplify]: Extracting #2: cost 69 inf + 0 2.169 * * [simplify]: Extracting #3: cost 110 inf + 741 2.171 * * [simplify]: Extracting #4: cost 88 inf + 3078 2.175 * * [simplify]: Extracting #5: cost 40 inf + 17981 2.182 * * [simplify]: Extracting #6: cost 6 inf + 30433 2.191 * * [simplify]: Extracting #7: cost 0 inf + 32845 2.202 * * [simplify]: Extracting #8: cost 0 inf + 32765 2.210 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 2.210 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 2.210 * * * [progress]: adding candidates to table 2.582 * * [progress]: iteration 2 / 4 2.582 * * * [progress]: picking best candidate 2.587 * * * * [pick]: Picked # 2.587 * * * [progress]: localizing error 2.620 * * * [progress]: generating rewritten candidates 2.620 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.731 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.738 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.745 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.763 * * * [progress]: generating series expansions 2.763 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.764 * [backup-simplify]: Simplify (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 2.764 * [approximate]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 2.764 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 2.764 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 2.764 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.764 * [taylor]: Taking taylor expansion of N in N 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 1 into 1 2.765 * [backup-simplify]: Simplify (/ 1 1) into 1 2.765 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 2.765 * [taylor]: Taking taylor expansion of 1/3 in N 2.765 * [backup-simplify]: Simplify 1/3 into 1/3 2.765 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.765 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.765 * [taylor]: Taking taylor expansion of N in N 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (* 1 1) into 1 2.767 * [backup-simplify]: Simplify (* 1 1) into 1 2.768 * [backup-simplify]: Simplify (/ 1 1) into 1 2.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 2.768 * [taylor]: Taking taylor expansion of 1/2 in N 2.768 * [backup-simplify]: Simplify 1/2 into 1/2 2.768 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.768 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.768 * [taylor]: Taking taylor expansion of N in N 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.768 * [backup-simplify]: Simplify (* 1 1) into 1 2.769 * [backup-simplify]: Simplify (/ 1 1) into 1 2.769 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 2.769 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 2.769 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.769 * [taylor]: Taking taylor expansion of N in N 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 1 into 1 2.769 * [backup-simplify]: Simplify (/ 1 1) into 1 2.769 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 2.769 * [taylor]: Taking taylor expansion of 1/3 in N 2.769 * [backup-simplify]: Simplify 1/3 into 1/3 2.769 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.770 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.770 * [taylor]: Taking taylor expansion of N in N 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 1 into 1 2.770 * [backup-simplify]: Simplify (* 1 1) into 1 2.771 * [backup-simplify]: Simplify (* 1 1) into 1 2.772 * [backup-simplify]: Simplify (/ 1 1) into 1 2.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 2.772 * [taylor]: Taking taylor expansion of 1/2 in N 2.772 * [backup-simplify]: Simplify 1/2 into 1/2 2.772 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.772 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.772 * [taylor]: Taking taylor expansion of N in N 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.772 * [backup-simplify]: Simplify (* 1 1) into 1 2.773 * [backup-simplify]: Simplify (/ 1 1) into 1 2.773 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.774 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.774 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.774 * [backup-simplify]: Simplify 1/3 into 1/3 2.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.777 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.778 * [backup-simplify]: Simplify (+ 0 0) into 0 2.778 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.779 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.779 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.779 * [backup-simplify]: Simplify -1/2 into -1/2 2.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.783 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.784 * [backup-simplify]: Simplify (+ 1 0) into 1 2.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.787 * [backup-simplify]: Simplify (- 0) into 0 2.787 * [backup-simplify]: Simplify (+ 1 0) into 1 2.787 * [backup-simplify]: Simplify 1 into 1 2.788 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 2.788 * [backup-simplify]: Simplify (+ (+ (/ 1 (/ 1 N)) (/ -1/2 (* (/ 1 N) (/ 1 N)))) (/ (/ 1/3 (* (/ 1 N) (/ 1 N))) (/ 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 2.788 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 2.788 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 2.788 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 2.788 * [taylor]: Taking taylor expansion of N in N 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.789 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.789 * [taylor]: Taking taylor expansion of 1/3 in N 2.789 * [backup-simplify]: Simplify 1/3 into 1/3 2.789 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.789 * [taylor]: Taking taylor expansion of N in N 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify 1 into 1 2.789 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.789 * [taylor]: Taking taylor expansion of 1/2 in N 2.789 * [backup-simplify]: Simplify 1/2 into 1/2 2.789 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.789 * [taylor]: Taking taylor expansion of N in N 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify 1 into 1 2.789 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 2.789 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 2.789 * [taylor]: Taking taylor expansion of N in N 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify 1 into 1 2.789 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.789 * [taylor]: Taking taylor expansion of 1/3 in N 2.789 * [backup-simplify]: Simplify 1/3 into 1/3 2.789 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.789 * [taylor]: Taking taylor expansion of N in N 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify 1 into 1 2.789 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.789 * [taylor]: Taking taylor expansion of 1/2 in N 2.789 * [backup-simplify]: Simplify 1/2 into 1/2 2.789 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.789 * [taylor]: Taking taylor expansion of N in N 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify 1 into 1 2.790 * [backup-simplify]: Simplify (+ 0 0) into 0 2.790 * [backup-simplify]: Simplify (+ 0 0) into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify (+ 1 0) into 1 2.791 * [backup-simplify]: Simplify (+ 1 0) into 1 2.791 * [backup-simplify]: Simplify 1 into 1 2.792 * [backup-simplify]: Simplify (+ 0 0) into 0 2.792 * [backup-simplify]: Simplify (* 1 1) into 1 2.792 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.793 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.793 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.793 * [backup-simplify]: Simplify -1/2 into -1/2 2.793 * [backup-simplify]: Simplify (* 1 1) into 1 2.794 * [backup-simplify]: Simplify (* 1 1) into 1 2.794 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.795 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.796 * [backup-simplify]: Simplify (- 0) into 0 2.797 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.797 * [backup-simplify]: Simplify 1/3 into 1/3 2.797 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.798 * [backup-simplify]: Simplify (+ (+ (/ 1 (/ 1 (- N))) (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N))))) (/ (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (- N)))) into (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) 2.798 * [approximate]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in (N) around 0 2.798 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 2.798 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 2.798 * [taylor]: Taking taylor expansion of N in N 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 1 into 1 2.798 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 2.798 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.798 * [taylor]: Taking taylor expansion of 1/2 in N 2.798 * [backup-simplify]: Simplify 1/2 into 1/2 2.798 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.798 * [taylor]: Taking taylor expansion of N in N 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 1 into 1 2.798 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.799 * [taylor]: Taking taylor expansion of 1/3 in N 2.799 * [backup-simplify]: Simplify 1/3 into 1/3 2.799 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.799 * [taylor]: Taking taylor expansion of N in N 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.799 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 2.799 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 2.799 * [taylor]: Taking taylor expansion of N in N 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.799 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 2.799 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.799 * [taylor]: Taking taylor expansion of 1/2 in N 2.799 * [backup-simplify]: Simplify 1/2 into 1/2 2.799 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.799 * [taylor]: Taking taylor expansion of N in N 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.799 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.799 * [taylor]: Taking taylor expansion of 1/3 in N 2.799 * [backup-simplify]: Simplify 1/3 into 1/3 2.799 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.799 * [taylor]: Taking taylor expansion of N in N 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.800 * [backup-simplify]: Simplify (+ 0 0) into 0 2.800 * [backup-simplify]: Simplify (- 0) into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify (+ 1 0) into 1 2.801 * [backup-simplify]: Simplify (- 1) into -1 2.801 * [backup-simplify]: Simplify -1 into -1 2.802 * [backup-simplify]: Simplify (* 1 1) into 1 2.802 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.802 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.803 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.806 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.806 * [backup-simplify]: Simplify -1/2 into -1/2 2.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.807 * [backup-simplify]: Simplify (* 1 1) into 1 2.807 * [backup-simplify]: Simplify (* 1 1) into 1 2.808 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.808 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.808 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.808 * [backup-simplify]: Simplify (- 1/3) into -1/3 2.808 * [backup-simplify]: Simplify -1/3 into -1/3 2.809 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.809 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.809 * [backup-simplify]: Simplify (/ 1/3 (* N N)) into (/ 1/3 (pow N 2)) 2.809 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 2)) in (N) around 0 2.809 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 2.809 * [taylor]: Taking taylor expansion of 1/3 in N 2.809 * [backup-simplify]: Simplify 1/3 into 1/3 2.809 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.809 * [taylor]: Taking taylor expansion of N in N 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify (* 1 1) into 1 2.809 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.809 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 2.809 * [taylor]: Taking taylor expansion of 1/3 in N 2.809 * [backup-simplify]: Simplify 1/3 into 1/3 2.810 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.810 * [taylor]: Taking taylor expansion of N in N 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify (* 1 1) into 1 2.810 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.810 * [backup-simplify]: Simplify 1/3 into 1/3 2.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.812 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.813 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) 2.818 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 N) (/ 1 N))) into (* 1/3 (pow N 2)) 2.818 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 2)) in (N) around 0 2.818 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 2.818 * [taylor]: Taking taylor expansion of 1/3 in N 2.818 * [backup-simplify]: Simplify 1/3 into 1/3 2.818 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.818 * [taylor]: Taking taylor expansion of N in N 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 1 into 1 2.818 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 2.818 * [taylor]: Taking taylor expansion of 1/3 in N 2.818 * [backup-simplify]: Simplify 1/3 into 1/3 2.818 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.818 * [taylor]: Taking taylor expansion of N in N 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 1 into 1 2.818 * [backup-simplify]: Simplify (* 1 1) into 1 2.819 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.819 * [backup-simplify]: Simplify 1/3 into 1/3 2.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.819 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.819 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.820 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.820 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.823 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.825 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.825 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.827 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) 2.827 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/3 (pow N 2)) 2.827 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 2)) in (N) around 0 2.827 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 2.827 * [taylor]: Taking taylor expansion of 1/3 in N 2.827 * [backup-simplify]: Simplify 1/3 into 1/3 2.827 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.827 * [taylor]: Taking taylor expansion of N in N 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.827 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 2.827 * [taylor]: Taking taylor expansion of 1/3 in N 2.827 * [backup-simplify]: Simplify 1/3 into 1/3 2.827 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.827 * [taylor]: Taking taylor expansion of N in N 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify (* 1 1) into 1 2.828 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.828 * [backup-simplify]: Simplify 1/3 into 1/3 2.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.829 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.830 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.832 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.832 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.834 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.834 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.837 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.837 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.840 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (- N)) 2)) into (/ 1/3 (pow N 2)) 2.840 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.841 * [backup-simplify]: Simplify (/ -1/2 (* N N)) into (/ -1/2 (pow N 2)) 2.841 * [approximate]: Taking taylor expansion of (/ -1/2 (pow N 2)) in (N) around 0 2.841 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 2.841 * [taylor]: Taking taylor expansion of -1/2 in N 2.841 * [backup-simplify]: Simplify -1/2 into -1/2 2.841 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.841 * [taylor]: Taking taylor expansion of N in N 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 1 into 1 2.841 * [backup-simplify]: Simplify (* 1 1) into 1 2.842 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.842 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 2.842 * [taylor]: Taking taylor expansion of -1/2 in N 2.842 * [backup-simplify]: Simplify -1/2 into -1/2 2.842 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.842 * [taylor]: Taking taylor expansion of N in N 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (* 1 1) into 1 2.842 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.842 * [backup-simplify]: Simplify -1/2 into -1/2 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.847 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 2.855 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 N) (/ 1 N))) into (* -1/2 (pow N 2)) 2.855 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 2.855 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 2.855 * [taylor]: Taking taylor expansion of -1/2 in N 2.855 * [backup-simplify]: Simplify -1/2 into -1/2 2.855 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.855 * [taylor]: Taking taylor expansion of N in N 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 1 into 1 2.855 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 2.855 * [taylor]: Taking taylor expansion of -1/2 in N 2.855 * [backup-simplify]: Simplify -1/2 into -1/2 2.855 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.855 * [taylor]: Taking taylor expansion of N in N 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 1 into 1 2.856 * [backup-simplify]: Simplify (* 1 1) into 1 2.856 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 2.856 * [backup-simplify]: Simplify -1/2 into -1/2 2.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.858 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 2.858 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.860 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.863 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.863 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.865 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.866 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.869 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.872 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 2.873 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/2 (pow N 2)) 2.873 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 2.873 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 2.873 * [taylor]: Taking taylor expansion of -1/2 in N 2.873 * [backup-simplify]: Simplify -1/2 into -1/2 2.873 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.873 * [taylor]: Taking taylor expansion of N in N 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 1 into 1 2.873 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 2.873 * [taylor]: Taking taylor expansion of -1/2 in N 2.873 * [backup-simplify]: Simplify -1/2 into -1/2 2.873 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.873 * [taylor]: Taking taylor expansion of N in N 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 1 into 1 2.874 * [backup-simplify]: Simplify (* 1 1) into 1 2.874 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 2.874 * [backup-simplify]: Simplify -1/2 into -1/2 2.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.876 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 2.876 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.878 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.878 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.881 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.884 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.887 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.887 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.891 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 (- N)) 2)) into (/ -1/2 (pow N 2)) 2.891 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.891 * [backup-simplify]: Simplify (+ (/ 1 N) (/ -1/2 (* N N))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 2.891 * [approximate]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 2.891 * [taylor]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in N 2.891 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.891 * [taylor]: Taking taylor expansion of N in N 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.892 * [backup-simplify]: Simplify (/ 1 1) into 1 2.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 2.892 * [taylor]: Taking taylor expansion of 1/2 in N 2.892 * [backup-simplify]: Simplify 1/2 into 1/2 2.892 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.892 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.892 * [taylor]: Taking taylor expansion of N in N 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.893 * [backup-simplify]: Simplify (* 1 1) into 1 2.893 * [backup-simplify]: Simplify (/ 1 1) into 1 2.893 * [taylor]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in N 2.893 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.893 * [taylor]: Taking taylor expansion of N in N 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 1 into 1 2.893 * [backup-simplify]: Simplify (/ 1 1) into 1 2.893 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 2.893 * [taylor]: Taking taylor expansion of 1/2 in N 2.893 * [backup-simplify]: Simplify 1/2 into 1/2 2.894 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.894 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.894 * [taylor]: Taking taylor expansion of N in N 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify (* 1 1) into 1 2.894 * [backup-simplify]: Simplify (/ 1 1) into 1 2.895 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.895 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.896 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.896 * [backup-simplify]: Simplify -1/2 into -1/2 2.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.898 * [backup-simplify]: Simplify (- 0) into 0 2.899 * [backup-simplify]: Simplify (+ 1 0) into 1 2.899 * [backup-simplify]: Simplify 1 into 1 2.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.903 * [backup-simplify]: Simplify (- 0) into 0 2.903 * [backup-simplify]: Simplify (+ 0 0) into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.908 * [backup-simplify]: Simplify (- 0) into 0 2.909 * [backup-simplify]: Simplify (+ 0 0) into 0 2.909 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.915 * [backup-simplify]: Simplify (- 0) into 0 2.915 * [backup-simplify]: Simplify (+ 0 0) into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.919 * [backup-simplify]: Simplify (- 0) into 0 2.920 * [backup-simplify]: Simplify (+ 0 0) into 0 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.923 * [backup-simplify]: Simplify (- 0) into 0 2.923 * [backup-simplify]: Simplify (+ 0 0) into 0 2.923 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.925 * [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 2.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.926 * [backup-simplify]: Simplify (- 0) into 0 2.927 * [backup-simplify]: Simplify (+ 0 0) into 0 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (* -1/2 (pow (/ 1 N) 2))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 2.927 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 N)) (/ -1/2 (* (/ 1 N) (/ 1 N)))) into (- N (* 1/2 (pow N 2))) 2.927 * [approximate]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in (N) around 0 2.927 * [taylor]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in N 2.927 * [taylor]: Taking taylor expansion of N in N 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify 1 into 1 2.927 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.927 * [taylor]: Taking taylor expansion of 1/2 in N 2.927 * [backup-simplify]: Simplify 1/2 into 1/2 2.927 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.927 * [taylor]: Taking taylor expansion of N in N 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify 1 into 1 2.927 * [taylor]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in N 2.927 * [taylor]: Taking taylor expansion of N in N 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify 1 into 1 2.927 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.927 * [taylor]: Taking taylor expansion of 1/2 in N 2.927 * [backup-simplify]: Simplify 1/2 into 1/2 2.927 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.927 * [taylor]: Taking taylor expansion of N in N 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify 1 into 1 2.928 * [backup-simplify]: Simplify (+ 0 0) into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify (+ 1 0) into 1 2.928 * [backup-simplify]: Simplify 1 into 1 2.928 * [backup-simplify]: Simplify (* 1 1) into 1 2.928 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.929 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.929 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.929 * [backup-simplify]: Simplify -1/2 into -1/2 2.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.931 * [backup-simplify]: Simplify (- 0) into 0 2.932 * [backup-simplify]: Simplify (+ 0 0) into 0 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.933 * [backup-simplify]: Simplify (- 0) into 0 2.933 * [backup-simplify]: Simplify (+ 0 0) into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.935 * [backup-simplify]: Simplify (- 0) into 0 2.935 * [backup-simplify]: Simplify (+ 0 0) into 0 2.935 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.937 * [backup-simplify]: Simplify (- 0) into 0 2.937 * [backup-simplify]: Simplify (+ 0 0) into 0 2.937 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.939 * [backup-simplify]: Simplify (- 0) into 0 2.939 * [backup-simplify]: Simplify (+ 0 0) into 0 2.939 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.941 * [backup-simplify]: Simplify (- 0) into 0 2.941 * [backup-simplify]: Simplify (+ 0 0) into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 2.941 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 (- N))) (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ N (* 1/2 (pow N 2)))) 2.941 * [approximate]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in (N) around 0 2.941 * [taylor]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in N 2.941 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 2.941 * [taylor]: Taking taylor expansion of N in N 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.942 * [taylor]: Taking taylor expansion of 1/2 in N 2.942 * [backup-simplify]: Simplify 1/2 into 1/2 2.942 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.942 * [taylor]: Taking taylor expansion of N in N 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [taylor]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in N 2.942 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 2.942 * [taylor]: Taking taylor expansion of N in N 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.942 * [taylor]: Taking taylor expansion of 1/2 in N 2.942 * [backup-simplify]: Simplify 1/2 into 1/2 2.942 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.942 * [taylor]: Taking taylor expansion of N in N 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (+ 0 0) into 0 2.942 * [backup-simplify]: Simplify (- 0) into 0 2.942 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify (+ 1 0) into 1 2.943 * [backup-simplify]: Simplify (- 1) into -1 2.943 * [backup-simplify]: Simplify -1 into -1 2.943 * [backup-simplify]: Simplify (* 1 1) into 1 2.943 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.944 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.944 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.944 * [backup-simplify]: Simplify -1/2 into -1/2 2.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.945 * [backup-simplify]: Simplify (+ 0 0) into 0 2.945 * [backup-simplify]: Simplify (- 0) into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.947 * [backup-simplify]: Simplify (+ 0 0) into 0 2.947 * [backup-simplify]: Simplify (- 0) into 0 2.947 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.949 * [backup-simplify]: Simplify (+ 0 0) into 0 2.949 * [backup-simplify]: Simplify (- 0) into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.950 * [backup-simplify]: Simplify (+ 0 0) into 0 2.951 * [backup-simplify]: Simplify (- 0) into 0 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.952 * [backup-simplify]: Simplify (+ 0 0) into 0 2.953 * [backup-simplify]: Simplify (- 0) into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.955 * [backup-simplify]: Simplify (+ 0 0) into 0 2.955 * [backup-simplify]: Simplify (- 0) into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N)))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 2.955 * * * [progress]: simplifying candidates 2.955 * * * * [progress]: [ 1 / 91 ] simplifiying candidate # 2.955 * [simplify]: Simplifying (* (* (exp (/ 1 N)) (exp (/ -1/2 (* N N)))) (exp (/ (/ 1/3 (* N N)) N))) 2.956 * * [simplify]: iters left: 6 (14 enodes) 2.960 * * [simplify]: iters left: 5 (56 enodes) 2.977 * * [simplify]: iters left: 4 (86 enodes) 3.004 * * [simplify]: iters left: 3 (117 enodes) 3.027 * * [simplify]: iters left: 2 (139 enodes) 3.051 * * [simplify]: iters left: 1 (169 enodes) 3.087 * * [simplify]: Extracting #0: cost 1 inf + 0 3.087 * * [simplify]: Extracting #1: cost 9 inf + 0 3.087 * * [simplify]: Extracting #2: cost 22 inf + 0 3.087 * * [simplify]: Extracting #3: cost 37 inf + 0 3.088 * * [simplify]: Extracting #4: cost 41 inf + 168 3.089 * * [simplify]: Extracting #5: cost 30 inf + 3160 3.091 * * [simplify]: Extracting #6: cost 9 inf + 7794 3.094 * * [simplify]: Extracting #7: cost 2 inf + 9891 3.098 * * [simplify]: Extracting #8: cost 0 inf + 10817 3.101 * [simplify]: Simplified to (exp (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 (* N N)) N)))) 3.101 * [simplify]: Simplified (2 1) to (λ (N) (log (exp (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 (* N N)) N)))))) 3.101 * * * * [progress]: [ 2 / 91 ] simplifiying candidate # 3.101 * [simplify]: Simplifying (* (exp (+ (/ 1 N) (/ -1/2 (* N N)))) (exp (/ (/ 1/3 (* N N)) N))) 3.101 * * [simplify]: iters left: 6 (13 enodes) 3.108 * * [simplify]: iters left: 5 (54 enodes) 3.123 * * [simplify]: iters left: 4 (83 enodes) 3.145 * * [simplify]: iters left: 3 (110 enodes) 3.178 * * [simplify]: iters left: 2 (135 enodes) 3.214 * * [simplify]: iters left: 1 (165 enodes) 3.243 * * [simplify]: Extracting #0: cost 1 inf + 0 3.243 * * [simplify]: Extracting #1: cost 9 inf + 0 3.243 * * [simplify]: Extracting #2: cost 22 inf + 0 3.243 * * [simplify]: Extracting #3: cost 37 inf + 0 3.243 * * [simplify]: Extracting #4: cost 42 inf + 128 3.244 * * [simplify]: Extracting #5: cost 37 inf + 1601 3.246 * * [simplify]: Extracting #6: cost 15 inf + 6657 3.249 * * [simplify]: Extracting #7: cost 3 inf + 10069 3.252 * * [simplify]: Extracting #8: cost 0 inf + 11137 3.255 * [simplify]: Simplified to (exp (+ (/ 1/3 (* N (* N N))) (+ (/ (/ -1/2 N) N) (/ 1 N)))) 3.255 * [simplify]: Simplified (2 1) to (λ (N) (log (exp (+ (/ 1/3 (* N (* N N))) (+ (/ (/ -1/2 N) N) (/ 1 N)))))) 3.255 * * * * [progress]: [ 3 / 91 ] simplifiying candidate # 3.255 * * * * [progress]: [ 4 / 91 ] simplifiying candidate # 3.255 * * * * [progress]: [ 5 / 91 ] simplifiying candidate # 3.255 * * * * [progress]: [ 6 / 91 ] simplifiying candidate # 3.255 * * * * [progress]: [ 7 / 91 ] simplifiying candidate # 3.255 * * * * [progress]: [ 8 / 91 ] simplifiying candidate # 3.255 * * * * [progress]: [ 9 / 91 ] simplifiying candidate # 3.256 * [simplify]: Simplifying (+ (* (+ (* 1 (* N N)) (* N -1/2)) N) (* (* N (* N N)) (/ 1/3 (* N N)))) 3.256 * * [simplify]: iters left: 6 (13 enodes) 3.261 * * [simplify]: iters left: 5 (56 enodes) 3.274 * * [simplify]: iters left: 4 (123 enodes) 3.308 * * [simplify]: iters left: 3 (314 enodes) 3.511 * * [simplify]: Extracting #0: cost 1 inf + 0 3.511 * * [simplify]: Extracting #1: cost 17 inf + 0 3.511 * * [simplify]: Extracting #2: cost 113 inf + 42 3.513 * * [simplify]: Extracting #3: cost 165 inf + 1357 3.519 * * [simplify]: Extracting #4: cost 70 inf + 12771 3.529 * * [simplify]: Extracting #5: cost 7 inf + 28454 3.541 * * [simplify]: Extracting #6: cost 0 inf + 31167 3.557 * [simplify]: Simplified to (* (+ (* N (+ N -1/2)) 1/3) N) 3.557 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (+ (* N (+ N -1/2)) 1/3) N) (* (* N (* N N)) N))) 3.557 * [simplify]: Simplifying (* (* N (* N N)) N) 3.557 * * [simplify]: iters left: 6 (4 enodes) 3.560 * * [simplify]: iters left: 5 (16 enodes) 3.565 * * [simplify]: iters left: 4 (28 enodes) 3.572 * * [simplify]: iters left: 3 (48 enodes) 3.584 * * [simplify]: iters left: 2 (80 enodes) 3.598 * * [simplify]: iters left: 1 (128 enodes) 3.634 * * [simplify]: Extracting #0: cost 1 inf + 0 3.634 * * [simplify]: Extracting #1: cost 6 inf + 0 3.634 * * [simplify]: Extracting #2: cost 15 inf + 2 3.634 * * [simplify]: Extracting #3: cost 32 inf + 206 3.635 * * [simplify]: Extracting #4: cost 27 inf + 836 3.635 * * [simplify]: Extracting #5: cost 20 inf + 3416 3.636 * * [simplify]: Extracting #6: cost 5 inf + 9950 3.637 * * [simplify]: Extracting #7: cost 0 inf + 12225 3.639 * [simplify]: Simplified to (* (* N N) (* N N)) 3.639 * [simplify]: Simplified (2 2) to (λ (N) (/ (* (+ (* N (+ N -1/2)) 1/3) N) (* (* N N) (* N N)))) 3.639 * * * * [progress]: [ 10 / 91 ] simplifiying candidate # 3.639 * [simplify]: Simplifying (+ (* (+ (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) N) (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) (/ 1/3 (* N N)))) 3.639 * * [simplify]: iters left: 6 (20 enodes) 3.647 * * [simplify]: iters left: 5 (110 enodes) 3.682 * * [simplify]: iters left: 4 (286 enodes) 3.803 * * [simplify]: Extracting #0: cost 1 inf + 0 3.803 * * [simplify]: Extracting #1: cost 16 inf + 0 3.804 * * [simplify]: Extracting #2: cost 101 inf + 0 3.806 * * [simplify]: Extracting #3: cost 208 inf + 206 3.810 * * [simplify]: Extracting #4: cost 212 inf + 4738 3.823 * * [simplify]: Extracting #5: cost 86 inf + 29895 3.840 * * [simplify]: Extracting #6: cost 7 inf + 50960 3.852 * * [simplify]: Extracting #7: cost 0 inf + 52064 3.865 * * [simplify]: Extracting #8: cost 0 inf + 51984 3.877 * [simplify]: Simplified to (+ (/ (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (- (/ -1/2 (* N N)) (/ 1 N)))) (/ (* N N) 1/3)) (* N (+ (/ (/ -1/8 (* N (* N N))) (* N (* N N))) (/ 1 (* N (* N N)))))) 3.877 * [simplify]: Simplified (2 1) to (λ (N) (/ (+ (/ (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (- (/ -1/2 (* N N)) (/ 1 N)))) (/ (* N N) 1/3)) (* N (+ (/ (/ -1/8 (* N (* N N))) (* N (* N N))) (/ 1 (* N (* N N)))))) (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) N))) 3.878 * [simplify]: Simplifying (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) N) 3.878 * * [simplify]: iters left: 6 (12 enodes) 3.882 * * [simplify]: iters left: 5 (61 enodes) 3.897 * * [simplify]: iters left: 4 (152 enodes) 3.950 * * [simplify]: iters left: 3 (371 enodes) 4.169 * * [simplify]: Extracting #0: cost 1 inf + 0 4.170 * * [simplify]: Extracting #1: cost 10 inf + 0 4.170 * * [simplify]: Extracting #2: cost 80 inf + 1 4.171 * * [simplify]: Extracting #3: cost 217 inf + 534 4.177 * * [simplify]: Extracting #4: cost 169 inf + 10099 4.193 * * [simplify]: Extracting #5: cost 25 inf + 28704 4.212 * * [simplify]: Extracting #6: cost 3 inf + 32935 4.233 * * [simplify]: Extracting #7: cost 0 inf + 33625 4.253 * [simplify]: Simplified to (* (+ (/ 1 (* N N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ (/ -1/2 (* N N)) N))) N) 4.253 * [simplify]: Simplified (2 2) to (λ (N) (/ (+ (/ (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (- (/ -1/2 (* N N)) (/ 1 N)))) (/ (* N N) 1/3)) (* N (+ (/ (/ -1/8 (* N (* N N))) (* N (* N N))) (/ 1 (* N (* N N)))))) (* (+ (/ 1 (* N N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ (/ -1/2 (* N N)) N))) N))) 4.254 * * * * [progress]: [ 11 / 91 ] simplifiying candidate # 4.254 * [simplify]: Simplifying (+ (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) N) (* (- (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N N)))) 4.255 * * [simplify]: iters left: 6 (15 enodes) 4.265 * * [simplify]: iters left: 5 (70 enodes) 4.280 * * [simplify]: iters left: 4 (161 enodes) 4.318 * * [simplify]: iters left: 3 (453 enodes) 4.521 * * [simplify]: Extracting #0: cost 1 inf + 0 4.521 * * [simplify]: Extracting #1: cost 30 inf + 0 4.527 * * [simplify]: Extracting #2: cost 264 inf + 0 4.529 * * [simplify]: Extracting #3: cost 403 inf + 455 4.534 * * [simplify]: Extracting #4: cost 327 inf + 23136 4.552 * * [simplify]: Extracting #5: cost 57 inf + 69645 4.576 * * [simplify]: Extracting #6: cost 3 inf + 80946 4.599 * * [simplify]: Extracting #7: cost 0 inf + 81315 4.633 * [simplify]: Simplified to (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) 4.633 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 4.633 * [simplify]: Simplifying (* (- (/ 1 N) (/ -1/2 (* N N))) N) 4.634 * * [simplify]: iters left: 6 (8 enodes) 4.638 * * [simplify]: iters left: 5 (31 enodes) 4.649 * * [simplify]: iters left: 4 (49 enodes) 4.665 * * [simplify]: iters left: 3 (67 enodes) 4.686 * * [simplify]: iters left: 2 (100 enodes) 4.720 * * [simplify]: iters left: 1 (143 enodes) 4.754 * * [simplify]: Extracting #0: cost 1 inf + 0 4.755 * * [simplify]: Extracting #1: cost 7 inf + 0 4.755 * * [simplify]: Extracting #2: cost 43 inf + 2 4.755 * * [simplify]: Extracting #3: cost 39 inf + 1318 4.756 * * [simplify]: Extracting #4: cost 5 inf + 4112 4.758 * * [simplify]: Extracting #5: cost 0 inf + 4484 4.759 * [simplify]: Simplified to (+ (/ 1/2 N) 1) 4.759 * [simplify]: Simplified (2 2) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (+ (/ 1/2 N) 1))) 4.759 * * * * [progress]: [ 12 / 91 ] simplifiying candidate # 4.759 * * * * [progress]: [ 13 / 91 ] simplifiying candidate # 4.759 * * * * [progress]: [ 14 / 91 ] simplifiying candidate # 4.759 * * * * [progress]: [ 15 / 91 ] simplifiying candidate # 4.760 * [simplify]: Simplifying (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 4.760 * * [simplify]: iters left: 6 (11 enodes) 4.763 * * [simplify]: iters left: 5 (45 enodes) 4.770 * * [simplify]: iters left: 4 (65 enodes) 4.781 * * [simplify]: iters left: 3 (77 enodes) 4.793 * * [simplify]: iters left: 2 (91 enodes) 4.814 * * [simplify]: iters left: 1 (121 enodes) 4.848 * * [simplify]: Extracting #0: cost 1 inf + 0 4.848 * * [simplify]: Extracting #1: cost 8 inf + 0 4.848 * * [simplify]: Extracting #2: cost 23 inf + 0 4.848 * * [simplify]: Extracting #3: cost 29 inf + 46 4.848 * * [simplify]: Extracting #4: cost 31 inf + 785 4.849 * * [simplify]: Extracting #5: cost 12 inf + 3789 4.850 * * [simplify]: Extracting #6: cost 5 inf + 5775 4.851 * * [simplify]: Extracting #7: cost 0 inf + 7799 4.852 * [simplify]: Simplified to (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)) 4.852 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)))) 4.852 * * * * [progress]: [ 16 / 91 ] simplifiying candidate # 4.852 * [simplify]: Simplifying (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 4.852 * * [simplify]: iters left: 6 (11 enodes) 4.856 * * [simplify]: iters left: 5 (45 enodes) 4.863 * * [simplify]: iters left: 4 (65 enodes) 4.873 * * [simplify]: iters left: 3 (77 enodes) 4.885 * * [simplify]: iters left: 2 (91 enodes) 4.900 * * [simplify]: iters left: 1 (121 enodes) 4.919 * * [simplify]: Extracting #0: cost 1 inf + 0 4.919 * * [simplify]: Extracting #1: cost 8 inf + 0 4.919 * * [simplify]: Extracting #2: cost 23 inf + 0 4.920 * * [simplify]: Extracting #3: cost 29 inf + 46 4.920 * * [simplify]: Extracting #4: cost 31 inf + 785 4.921 * * [simplify]: Extracting #5: cost 12 inf + 3789 4.921 * * [simplify]: Extracting #6: cost 5 inf + 5775 4.923 * * [simplify]: Extracting #7: cost 0 inf + 7799 4.925 * [simplify]: Simplified to (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)) 4.926 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)))) 4.926 * * * * [progress]: [ 17 / 91 ] simplifiying candidate # 4.926 * [simplify]: Simplifying (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 4.926 * * [simplify]: iters left: 6 (11 enodes) 4.929 * * [simplify]: iters left: 5 (45 enodes) 4.937 * * [simplify]: iters left: 4 (65 enodes) 4.947 * * [simplify]: iters left: 3 (77 enodes) 4.959 * * [simplify]: iters left: 2 (91 enodes) 4.974 * * [simplify]: iters left: 1 (121 enodes) 4.993 * * [simplify]: Extracting #0: cost 1 inf + 0 4.993 * * [simplify]: Extracting #1: cost 8 inf + 0 4.993 * * [simplify]: Extracting #2: cost 23 inf + 0 4.994 * * [simplify]: Extracting #3: cost 29 inf + 46 4.994 * * [simplify]: Extracting #4: cost 31 inf + 785 4.995 * * [simplify]: Extracting #5: cost 12 inf + 3789 4.995 * * [simplify]: Extracting #6: cost 5 inf + 5775 4.997 * * [simplify]: Extracting #7: cost 0 inf + 7799 4.998 * [simplify]: Simplified to (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)) 4.998 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 (* N N)) N)))) 4.998 * * * * [progress]: [ 18 / 91 ] simplifiying candidate # 4.998 * [simplify]: Simplifying (/ 1 N) 4.998 * * [simplify]: iters left: 2 (3 enodes) 4.999 * * [simplify]: iters left: 1 (11 enodes) 5.003 * * [simplify]: Extracting #0: cost 1 inf + 0 5.003 * * [simplify]: Extracting #1: cost 4 inf + 0 5.003 * * [simplify]: Extracting #2: cost 2 inf + 2 5.003 * * [simplify]: Extracting #3: cost 0 inf + 86 5.003 * [simplify]: Simplified to (/ 1 N) 5.003 * [simplify]: Simplified (2 1) to (λ (N) (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ (/ 1/3 (* N N)) N)))) 5.003 * * * * [progress]: [ 19 / 91 ] simplifiying candidate #real (real->posit16 (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)))))> 5.003 * * * * [progress]: [ 20 / 91 ] simplifiying candidate # 5.003 * * * * [progress]: [ 21 / 91 ] simplifiying candidate # 5.003 * * * * [progress]: [ 22 / 91 ] simplifiying candidate # 5.003 * [simplify]: Simplifying (- (log 1/3) (+ (log N) (log N))) 5.003 * * [simplify]: iters left: 5 (6 enodes) 5.005 * * [simplify]: iters left: 4 (22 enodes) 5.009 * * [simplify]: iters left: 3 (31 enodes) 5.014 * * [simplify]: iters left: 2 (39 enodes) 5.020 * * [simplify]: iters left: 1 (45 enodes) 5.026 * * [simplify]: Extracting #0: cost 1 inf + 0 5.026 * * [simplify]: Extracting #1: cost 10 inf + 0 5.026 * * [simplify]: Extracting #2: cost 20 inf + 0 5.026 * * [simplify]: Extracting #3: cost 16 inf + 184 5.027 * * [simplify]: Extracting #4: cost 5 inf + 1698 5.027 * * [simplify]: Extracting #5: cost 0 inf + 2537 5.028 * [simplify]: Simplified to (- (log 1/3) (+ (log N) (log N))) 5.028 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (exp (- (log 1/3) (+ (log N) (log N)))) N))) 5.028 * * * * [progress]: [ 23 / 91 ] simplifiying candidate # 5.028 * [simplify]: Simplifying (- (log 1/3) (log (* N N))) 5.028 * * [simplify]: iters left: 5 (6 enodes) 5.030 * * [simplify]: iters left: 4 (22 enodes) 5.034 * * [simplify]: iters left: 3 (31 enodes) 5.039 * * [simplify]: iters left: 2 (41 enodes) 5.045 * * [simplify]: iters left: 1 (48 enodes) 5.051 * * [simplify]: Extracting #0: cost 1 inf + 0 5.051 * * [simplify]: Extracting #1: cost 12 inf + 0 5.051 * * [simplify]: Extracting #2: cost 25 inf + 0 5.052 * * [simplify]: Extracting #3: cost 10 inf + 1748 5.052 * * [simplify]: Extracting #4: cost 0 inf + 3263 5.053 * [simplify]: Simplified to (- (log 1/3) (+ (log N) (log N))) 5.053 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (exp (- (log 1/3) (+ (log N) (log N)))) N))) 5.053 * * * * [progress]: [ 24 / 91 ] simplifiying candidate # 5.053 * * * * [progress]: [ 25 / 91 ] simplifiying candidate # 5.053 * * * * [progress]: [ 26 / 91 ] simplifiying candidate # 5.053 * [simplify]: Simplifying (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) N) (* (* N N) N))) 5.053 * * [simplify]: iters left: 6 (8 enodes) 5.056 * * [simplify]: iters left: 5 (40 enodes) 5.065 * * [simplify]: iters left: 4 (125 enodes) 5.122 * * [simplify]: iters left: 3 (395 enodes) 5.346 * * [simplify]: Extracting #0: cost 1 inf + 0 5.347 * * [simplify]: Extracting #1: cost 86 inf + 0 5.349 * * [simplify]: Extracting #2: cost 142 inf + 3503 5.358 * * [simplify]: Extracting #3: cost 48 inf + 15446 5.369 * * [simplify]: Extracting #4: cost 14 inf + 21195 5.385 * * [simplify]: Extracting #5: cost 0 inf + 25333 5.400 * [simplify]: Simplified to (/ 1/27 (* (* N (* N N)) (* N (* N N)))) 5.400 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (cbrt (/ 1/27 (* (* N (* N N)) (* N (* N N))))) N))) 5.400 * * * * [progress]: [ 27 / 91 ] simplifiying candidate # 5.400 * [simplify]: Simplifying (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) (* N N)) (* N N))) 5.400 * * [simplify]: iters left: 6 (8 enodes) 5.406 * * [simplify]: iters left: 5 (41 enodes) 5.424 * * [simplify]: iters left: 4 (128 enodes) 5.472 * * [simplify]: iters left: 3 (370 enodes) 5.677 * * [simplify]: Extracting #0: cost 1 inf + 0 5.677 * * [simplify]: Extracting #1: cost 85 inf + 0 5.678 * * [simplify]: Extracting #2: cost 134 inf + 2854 5.682 * * [simplify]: Extracting #3: cost 61 inf + 11812 5.689 * * [simplify]: Extracting #4: cost 18 inf + 18887 5.695 * * [simplify]: Extracting #5: cost 0 inf + 24276 5.706 * [simplify]: Simplified to (/ (/ 1/27 (* N (* N N))) (* N (* N N))) 5.706 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (cbrt (/ (/ 1/27 (* N (* N N))) (* N (* N N)))) N))) 5.706 * * * * [progress]: [ 28 / 91 ] simplifiying candidate # 5.706 * * * * [progress]: [ 29 / 91 ] simplifiying candidate # 5.706 * * * * [progress]: [ 30 / 91 ] simplifiying candidate # 5.706 * * * * [progress]: [ 31 / 91 ] simplifiying candidate # 5.707 * * * * [progress]: [ 32 / 91 ] simplifiying candidate # 5.707 * [simplify]: Simplifying (/ (* (cbrt 1/3) (cbrt 1/3)) N) 5.707 * * [simplify]: iters left: 5 (5 enodes) 5.710 * * [simplify]: iters left: 4 (17 enodes) 5.717 * * [simplify]: iters left: 3 (21 enodes) 5.724 * * [simplify]: iters left: 2 (24 enodes) 5.733 * * [simplify]: Extracting #0: cost 1 inf + 0 5.733 * * [simplify]: Extracting #1: cost 7 inf + 0 5.733 * * [simplify]: Extracting #2: cost 11 inf + 1 5.733 * * [simplify]: Extracting #3: cost 10 inf + 2 5.733 * * [simplify]: Extracting #4: cost 0 inf + 1218 5.734 * [simplify]: Simplified to (/ (* (cbrt 1/3) (cbrt 1/3)) N) 5.734 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ (cbrt 1/3) N)) N))) 5.734 * [simplify]: Simplifying (/ (cbrt 1/3) N) 5.734 * * [simplify]: iters left: 3 (4 enodes) 5.737 * * [simplify]: iters left: 2 (12 enodes) 5.744 * * [simplify]: Extracting #0: cost 1 inf + 0 5.745 * * [simplify]: Extracting #1: cost 4 inf + 0 5.745 * * [simplify]: Extracting #2: cost 5 inf + 1 5.745 * * [simplify]: Extracting #3: cost 4 inf + 2 5.745 * * [simplify]: Extracting #4: cost 0 inf + 408 5.745 * [simplify]: Simplified to (/ (cbrt 1/3) N) 5.745 * [simplify]: Simplified (2 2 1 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ (cbrt 1/3) N)) N))) 5.745 * * * * [progress]: [ 33 / 91 ] simplifiying candidate # 5.746 * [simplify]: Simplifying (/ (sqrt 1/3) N) 5.746 * * [simplify]: iters left: 3 (4 enodes) 5.748 * * [simplify]: iters left: 2 (12 enodes) 5.752 * * [simplify]: Extracting #0: cost 1 inf + 0 5.752 * * [simplify]: Extracting #1: cost 4 inf + 0 5.752 * * [simplify]: Extracting #2: cost 5 inf + 1 5.752 * * [simplify]: Extracting #3: cost 4 inf + 2 5.752 * * [simplify]: Extracting #4: cost 0 inf + 248 5.753 * [simplify]: Simplified to (/ (sqrt 1/3) N) 5.753 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ (sqrt 1/3) N) (/ (sqrt 1/3) N)) N))) 5.753 * [simplify]: Simplifying (/ (sqrt 1/3) N) 5.753 * * [simplify]: iters left: 3 (4 enodes) 5.756 * * [simplify]: iters left: 2 (12 enodes) 5.759 * * [simplify]: Extracting #0: cost 1 inf + 0 5.760 * * [simplify]: Extracting #1: cost 4 inf + 0 5.760 * * [simplify]: Extracting #2: cost 5 inf + 1 5.760 * * [simplify]: Extracting #3: cost 4 inf + 2 5.760 * * [simplify]: Extracting #4: cost 0 inf + 248 5.760 * [simplify]: Simplified to (/ (sqrt 1/3) N) 5.760 * [simplify]: Simplified (2 2 1 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ (sqrt 1/3) N) (/ (sqrt 1/3) N)) N))) 5.760 * * * * [progress]: [ 34 / 91 ] simplifiying candidate # 5.760 * [simplify]: Simplifying (/ 1 N) 5.761 * * [simplify]: iters left: 2 (3 enodes) 5.762 * * [simplify]: iters left: 1 (11 enodes) 5.766 * * [simplify]: Extracting #0: cost 1 inf + 0 5.766 * * [simplify]: Extracting #1: cost 4 inf + 0 5.766 * * [simplify]: Extracting #2: cost 2 inf + 2 5.766 * * [simplify]: Extracting #3: cost 0 inf + 86 5.767 * [simplify]: Simplified to (/ 1 N) 5.767 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ 1 N) (/ 1/3 N)) N))) 5.767 * [simplify]: Simplifying (/ 1/3 N) 5.767 * * [simplify]: iters left: 2 (3 enodes) 5.769 * * [simplify]: iters left: 1 (9 enodes) 5.772 * * [simplify]: Extracting #0: cost 1 inf + 0 5.772 * * [simplify]: Extracting #1: cost 4 inf + 0 5.772 * * [simplify]: Extracting #2: cost 2 inf + 2 5.772 * * [simplify]: Extracting #3: cost 0 inf + 86 5.772 * [simplify]: Simplified to (/ 1/3 N) 5.772 * [simplify]: Simplified (2 2 1 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (* (/ 1 N) (/ 1/3 N)) N))) 5.772 * * * * [progress]: [ 35 / 91 ] simplifiying candidate # 5.772 * * * * [progress]: [ 36 / 91 ] simplifiying candidate # 5.772 * * * * [progress]: [ 37 / 91 ] simplifiying candidate # 5.772 * * * * [progress]: [ 38 / 91 ] simplifiying candidate # 5.772 * * * * [progress]: [ 39 / 91 ] simplifiying candidate # 5.773 * [simplify]: Simplifying (* (cbrt 1/3) (cbrt 1/3)) 5.773 * * [simplify]: iters left: 3 (3 enodes) 5.775 * * [simplify]: iters left: 2 (9 enodes) 5.779 * * [simplify]: Extracting #0: cost 1 inf + 0 5.779 * * [simplify]: Extracting #1: cost 3 inf + 0 5.779 * * [simplify]: Extracting #2: cost 5 inf + 0 5.779 * * [simplify]: Extracting #3: cost 4 inf + 1 5.779 * * [simplify]: Extracting #4: cost 0 inf + 405 5.779 * [simplify]: Simplified to (* (cbrt 1/3) (cbrt 1/3)) 5.779 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) (/ (* N N) (cbrt 1/3))) N))) 5.779 * * * * [progress]: [ 40 / 91 ] simplifiying candidate # 5.780 * [simplify]: Simplifying (sqrt 1/3) 5.780 * * [simplify]: iters left: 1 (2 enodes) 5.781 * * [simplify]: Extracting #0: cost 1 inf + 0 5.781 * * [simplify]: Extracting #1: cost 3 inf + 0 5.781 * * [simplify]: Extracting #2: cost 2 inf + 1 5.782 * * [simplify]: Extracting #3: cost 0 inf + 83 5.782 * [simplify]: Simplified to (sqrt 1/3) 5.782 * [simplify]: Simplified (2 2 1 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ (sqrt 1/3) (/ (* N N) (sqrt 1/3))) N))) 5.782 * * * * [progress]: [ 41 / 91 ] simplifiying candidate # 5.782 * * * * [progress]: [ 42 / 91 ] simplifiying candidate #real (real->posit16 (/ 1/3 (* N N)))) N)))> 5.782 * * * * [progress]: [ 43 / 91 ] simplifiying candidate # 5.782 * * * * [progress]: [ 44 / 91 ] simplifiying candidate # 5.782 * [simplify]: Simplifying (- (log -1/2) (+ (log N) (log N))) 5.782 * * [simplify]: iters left: 5 (6 enodes) 5.786 * * [simplify]: iters left: 4 (22 enodes) 5.790 * * [simplify]: iters left: 3 (31 enodes) 5.795 * * [simplify]: iters left: 2 (39 enodes) 5.801 * * [simplify]: iters left: 1 (45 enodes) 5.808 * * [simplify]: Extracting #0: cost 1 inf + 0 5.808 * * [simplify]: Extracting #1: cost 10 inf + 0 5.808 * * [simplify]: Extracting #2: cost 20 inf + 0 5.808 * * [simplify]: Extracting #3: cost 16 inf + 184 5.808 * * [simplify]: Extracting #4: cost 5 inf + 1698 5.809 * * [simplify]: Extracting #5: cost 0 inf + 2537 5.809 * [simplify]: Simplified to (- (log -1/2) (+ (log N) (log N))) 5.809 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (exp (- (log -1/2) (+ (log N) (log N))))) (/ (/ 1/3 (* N N)) N))) 5.809 * * * * [progress]: [ 45 / 91 ] simplifiying candidate # 5.809 * [simplify]: Simplifying (- (log -1/2) (log (* N N))) 5.809 * * [simplify]: iters left: 5 (6 enodes) 5.811 * * [simplify]: iters left: 4 (22 enodes) 5.816 * * [simplify]: iters left: 3 (31 enodes) 5.826 * * [simplify]: iters left: 2 (41 enodes) 5.838 * * [simplify]: iters left: 1 (48 enodes) 5.850 * * [simplify]: Extracting #0: cost 1 inf + 0 5.850 * * [simplify]: Extracting #1: cost 12 inf + 0 5.850 * * [simplify]: Extracting #2: cost 25 inf + 0 5.850 * * [simplify]: Extracting #3: cost 10 inf + 1748 5.851 * * [simplify]: Extracting #4: cost 0 inf + 3263 5.851 * [simplify]: Simplified to (- (log -1/2) (+ (log N) (log N))) 5.852 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (exp (- (log -1/2) (+ (log N) (log N))))) (/ (/ 1/3 (* N N)) N))) 5.852 * * * * [progress]: [ 46 / 91 ] simplifiying candidate # 5.852 * * * * [progress]: [ 47 / 91 ] simplifiying candidate # 5.852 * * * * [progress]: [ 48 / 91 ] simplifiying candidate # 5.852 * [simplify]: Simplifying (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) N) (* (* N N) N))) 5.852 * * [simplify]: iters left: 6 (8 enodes) 5.855 * * [simplify]: iters left: 5 (40 enodes) 5.868 * * [simplify]: iters left: 4 (125 enodes) 5.926 * * [simplify]: iters left: 3 (395 enodes) 6.142 * * [simplify]: Extracting #0: cost 1 inf + 0 6.142 * * [simplify]: Extracting #1: cost 86 inf + 0 6.143 * * [simplify]: Extracting #2: cost 142 inf + 3503 6.151 * * [simplify]: Extracting #3: cost 48 inf + 15446 6.163 * * [simplify]: Extracting #4: cost 14 inf + 21195 6.177 * * [simplify]: Extracting #5: cost 0 inf + 25333 6.188 * [simplify]: Simplified to (/ -1/8 (* (* N (* N N)) (* N (* N N)))) 6.189 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (cbrt (/ -1/8 (* (* N (* N N)) (* N (* N N)))))) (/ (/ 1/3 (* N N)) N))) 6.189 * * * * [progress]: [ 49 / 91 ] simplifiying candidate # 6.189 * [simplify]: Simplifying (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) (* N N)) (* N N))) 6.189 * * [simplify]: iters left: 6 (8 enodes) 6.192 * * [simplify]: iters left: 5 (41 enodes) 6.202 * * [simplify]: iters left: 4 (128 enodes) 6.270 * * [simplify]: iters left: 3 (370 enodes) 6.480 * * [simplify]: Extracting #0: cost 1 inf + 0 6.480 * * [simplify]: Extracting #1: cost 85 inf + 0 6.482 * * [simplify]: Extracting #2: cost 134 inf + 2854 6.488 * * [simplify]: Extracting #3: cost 61 inf + 11812 6.500 * * [simplify]: Extracting #4: cost 18 inf + 18887 6.512 * * [simplify]: Extracting #5: cost 0 inf + 24276 6.528 * [simplify]: Simplified to (/ (/ -1/8 (* N (* N N))) (* N (* N N))) 6.528 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (cbrt (/ (/ -1/8 (* N (* N N))) (* N (* N N))))) (/ (/ 1/3 (* N N)) N))) 6.528 * * * * [progress]: [ 50 / 91 ] simplifiying candidate # 6.528 * * * * [progress]: [ 51 / 91 ] simplifiying candidate # 6.528 * * * * [progress]: [ 52 / 91 ] simplifiying candidate # 6.529 * * * * [progress]: [ 53 / 91 ] simplifiying candidate # 6.529 * * * * [progress]: [ 54 / 91 ] simplifiying candidate # 6.529 * [simplify]: Simplifying (/ (* (cbrt -1/2) (cbrt -1/2)) N) 6.529 * * [simplify]: iters left: 5 (5 enodes) 6.532 * * [simplify]: iters left: 4 (17 enodes) 6.538 * * [simplify]: iters left: 3 (21 enodes) 6.545 * * [simplify]: iters left: 2 (24 enodes) 6.552 * * [simplify]: Extracting #0: cost 1 inf + 0 6.552 * * [simplify]: Extracting #1: cost 7 inf + 0 6.552 * * [simplify]: Extracting #2: cost 11 inf + 1 6.552 * * [simplify]: Extracting #3: cost 10 inf + 2 6.553 * * [simplify]: Extracting #4: cost 0 inf + 1218 6.553 * [simplify]: Simplified to (/ (* (cbrt -1/2) (cbrt -1/2)) N) 6.553 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (* (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N))) (/ (/ 1/3 (* N N)) N))) 6.554 * [simplify]: Simplifying (/ (cbrt -1/2) N) 6.554 * * [simplify]: iters left: 3 (4 enodes) 6.556 * * [simplify]: iters left: 2 (12 enodes) 6.560 * * [simplify]: Extracting #0: cost 1 inf + 0 6.560 * * [simplify]: Extracting #1: cost 4 inf + 0 6.560 * * [simplify]: Extracting #2: cost 5 inf + 1 6.560 * * [simplify]: Extracting #3: cost 4 inf + 2 6.560 * * [simplify]: Extracting #4: cost 0 inf + 408 6.561 * [simplify]: Simplified to (/ (cbrt -1/2) N) 6.561 * [simplify]: Simplified (2 1 2 2) to (λ (N) (+ (+ (/ 1 N) (* (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N))) (/ (/ 1/3 (* N N)) N))) 6.561 * * * * [progress]: [ 55 / 91 ] simplifiying candidate # 6.561 * [simplify]: Simplifying (/ (sqrt -1/2) N) 6.561 * * [simplify]: iters left: 3 (4 enodes) 6.564 * * [simplify]: iters left: 2 (12 enodes) 6.568 * * [simplify]: Extracting #0: cost 1 inf + 0 6.568 * * [simplify]: Extracting #1: cost 4 inf + 0 6.568 * * [simplify]: Extracting #2: cost 5 inf + 1 6.568 * * [simplify]: Extracting #3: cost 4 inf + 2 6.569 * * [simplify]: Extracting #4: cost 0 inf + 248 6.569 * [simplify]: Simplified to (/ (sqrt -1/2) N) 6.569 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (* (/ (sqrt -1/2) N) (/ (sqrt -1/2) N))) (/ (/ 1/3 (* N N)) N))) 6.569 * [simplify]: Simplifying (/ (sqrt -1/2) N) 6.569 * * [simplify]: iters left: 3 (4 enodes) 6.572 * * [simplify]: iters left: 2 (12 enodes) 6.576 * * [simplify]: Extracting #0: cost 1 inf + 0 6.576 * * [simplify]: Extracting #1: cost 4 inf + 0 6.576 * * [simplify]: Extracting #2: cost 5 inf + 1 6.576 * * [simplify]: Extracting #3: cost 4 inf + 2 6.577 * * [simplify]: Extracting #4: cost 0 inf + 248 6.577 * [simplify]: Simplified to (/ (sqrt -1/2) N) 6.577 * [simplify]: Simplified (2 1 2 2) to (λ (N) (+ (+ (/ 1 N) (* (/ (sqrt -1/2) N) (/ (sqrt -1/2) N))) (/ (/ 1/3 (* N N)) N))) 6.577 * * * * [progress]: [ 56 / 91 ] simplifiying candidate # 6.577 * [simplify]: Simplifying (/ 1 N) 6.577 * * [simplify]: iters left: 2 (3 enodes) 6.579 * * [simplify]: iters left: 1 (11 enodes) 6.583 * * [simplify]: Extracting #0: cost 1 inf + 0 6.583 * * [simplify]: Extracting #1: cost 4 inf + 0 6.583 * * [simplify]: Extracting #2: cost 2 inf + 2 6.583 * * [simplify]: Extracting #3: cost 0 inf + 86 6.583 * [simplify]: Simplified to (/ 1 N) 6.583 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (* (/ 1 N) (/ -1/2 N))) (/ (/ 1/3 (* N N)) N))) 6.584 * [simplify]: Simplifying (/ -1/2 N) 6.584 * * [simplify]: iters left: 2 (3 enodes) 6.586 * * [simplify]: iters left: 1 (9 enodes) 6.588 * * [simplify]: Extracting #0: cost 1 inf + 0 6.588 * * [simplify]: Extracting #1: cost 4 inf + 0 6.589 * * [simplify]: Extracting #2: cost 2 inf + 2 6.589 * * [simplify]: Extracting #3: cost 0 inf + 86 6.589 * [simplify]: Simplified to (/ -1/2 N) 6.589 * [simplify]: Simplified (2 1 2 2) to (λ (N) (+ (+ (/ 1 N) (* (/ 1 N) (/ -1/2 N))) (/ (/ 1/3 (* N N)) N))) 6.589 * * * * [progress]: [ 57 / 91 ] simplifiying candidate # 6.589 * * * * [progress]: [ 58 / 91 ] simplifiying candidate # 6.589 * * * * [progress]: [ 59 / 91 ] simplifiying candidate # 6.589 * * * * [progress]: [ 60 / 91 ] simplifiying candidate # 6.589 * * * * [progress]: [ 61 / 91 ] simplifiying candidate # 6.589 * [simplify]: Simplifying (* (cbrt -1/2) (cbrt -1/2)) 6.590 * * [simplify]: iters left: 3 (3 enodes) 6.591 * * [simplify]: iters left: 2 (9 enodes) 6.593 * * [simplify]: Extracting #0: cost 1 inf + 0 6.593 * * [simplify]: Extracting #1: cost 3 inf + 0 6.593 * * [simplify]: Extracting #2: cost 5 inf + 0 6.593 * * [simplify]: Extracting #3: cost 4 inf + 1 6.593 * * [simplify]: Extracting #4: cost 0 inf + 405 6.593 * [simplify]: Simplified to (* (cbrt -1/2) (cbrt -1/2)) 6.593 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* N N) (cbrt -1/2)))) (/ (/ 1/3 (* N N)) N))) 6.593 * * * * [progress]: [ 62 / 91 ] simplifiying candidate # 6.593 * [simplify]: Simplifying (sqrt -1/2) 6.593 * * [simplify]: iters left: 1 (2 enodes) 6.594 * * [simplify]: Extracting #0: cost 1 inf + 0 6.594 * * [simplify]: Extracting #1: cost 3 inf + 0 6.594 * * [simplify]: Extracting #2: cost 2 inf + 1 6.594 * * [simplify]: Extracting #3: cost 0 inf + 83 6.595 * [simplify]: Simplified to (sqrt -1/2) 6.595 * [simplify]: Simplified (2 1 2 1) to (λ (N) (+ (+ (/ 1 N) (/ (sqrt -1/2) (/ (* N N) (sqrt -1/2)))) (/ (/ 1/3 (* N N)) N))) 6.595 * * * * [progress]: [ 63 / 91 ] simplifiying candidate # 6.595 * * * * [progress]: [ 64 / 91 ] simplifiying candidate #real (real->posit16 (/ -1/2 (* N N))))) (/ (/ 1/3 (* N N)) N)))> 6.595 * * * * [progress]: [ 65 / 91 ] simplifiying candidate # 6.595 * [simplify]: Simplifying (* (exp (/ 1 N)) (exp (/ -1/2 (* N N)))) 6.595 * * [simplify]: iters left: 6 (9 enodes) 6.598 * * [simplify]: iters left: 5 (34 enodes) 6.604 * * [simplify]: iters left: 4 (42 enodes) 6.611 * * [simplify]: Extracting #0: cost 1 inf + 0 6.611 * * [simplify]: Extracting #1: cost 5 inf + 0 6.611 * * [simplify]: Extracting #2: cost 10 inf + 0 6.611 * * [simplify]: Extracting #3: cost 17 inf + 0 6.611 * * [simplify]: Extracting #4: cost 14 inf + 86 6.611 * * [simplify]: Extracting #5: cost 7 inf + 720 6.611 * * [simplify]: Extracting #6: cost 0 inf + 1737 6.612 * [simplify]: Simplified to (exp (+ (/ 1 N) (/ -1/2 (* N N)))) 6.612 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (log (exp (+ (/ 1 N) (/ -1/2 (* N N))))) (/ (/ 1/3 (* N N)) N))) 6.612 * * * * [progress]: [ 66 / 91 ] simplifiying candidate # 6.612 * * * * [progress]: [ 67 / 91 ] simplifiying candidate # 6.612 * * * * [progress]: [ 68 / 91 ] simplifiying candidate # 6.612 * * * * [progress]: [ 69 / 91 ] simplifiying candidate # 6.612 * * * * [progress]: [ 70 / 91 ] simplifiying candidate # 6.612 * * * * [progress]: [ 71 / 91 ] simplifiying candidate # 6.612 * * * * [progress]: [ 72 / 91 ] simplifiying candidate # 6.612 * [simplify]: Simplifying (+ (* 1 (* N N)) (* N -1/2)) 6.612 * * [simplify]: iters left: 6 (7 enodes) 6.615 * * [simplify]: iters left: 5 (25 enodes) 6.620 * * [simplify]: iters left: 4 (33 enodes) 6.629 * * [simplify]: iters left: 3 (39 enodes) 6.640 * * [simplify]: iters left: 2 (41 enodes) 6.650 * * [simplify]: Extracting #0: cost 1 inf + 0 6.650 * * [simplify]: Extracting #1: cost 6 inf + 0 6.650 * * [simplify]: Extracting #2: cost 9 inf + 42 6.651 * * [simplify]: Extracting #3: cost 2 inf + 333 6.651 * * [simplify]: Extracting #4: cost 0 inf + 457 6.651 * * [simplify]: Extracting #5: cost 0 inf + 417 6.652 * [simplify]: Simplified to (* N (+ N -1/2)) 6.652 * [simplify]: Simplified (2 1 1) to (λ (N) (+ (/ (* N (+ N -1/2)) (* N (* N N))) (/ (/ 1/3 (* N N)) N))) 6.652 * [simplify]: Simplifying (* N (* N N)) 6.652 * * [simplify]: iters left: 4 (3 enodes) 6.654 * * [simplify]: iters left: 3 (12 enodes) 6.659 * * [simplify]: iters left: 2 (19 enodes) 6.668 * * [simplify]: iters left: 1 (33 enodes) 6.676 * * [simplify]: Extracting #0: cost 1 inf + 0 6.676 * * [simplify]: Extracting #1: cost 10 inf + 0 6.676 * * [simplify]: Extracting #2: cost 14 inf + 2 6.676 * * [simplify]: Extracting #3: cost 8 inf + 893 6.676 * * [simplify]: Extracting #4: cost 1 inf + 2275 6.676 * * [simplify]: Extracting #5: cost 0 inf + 2487 6.677 * [simplify]: Simplified to (* N (* N N)) 6.677 * [simplify]: Simplified (2 1 2) to (λ (N) (+ (/ (* N (+ N -1/2)) (* N (* N N))) (/ (/ 1/3 (* N N)) N))) 6.677 * * * * [progress]: [ 73 / 91 ] simplifiying candidate # 6.677 * * * * [progress]: [ 74 / 91 ] simplifiying candidate # 6.677 * * * * [progress]: [ 75 / 91 ] simplifiying candidate # 6.677 * * * * [progress]: [ 76 / 91 ] simplifiying candidate # 6.677 * [simplify]: Simplifying (+ (/ 1 N) (/ -1/2 (* N N))) 6.677 * * [simplify]: iters left: 6 (7 enodes) 6.679 * * [simplify]: iters left: 5 (26 enodes) 6.683 * * [simplify]: iters left: 4 (30 enodes) 6.688 * * [simplify]: Extracting #0: cost 1 inf + 0 6.688 * * [simplify]: Extracting #1: cost 4 inf + 0 6.688 * * [simplify]: Extracting #2: cost 11 inf + 0 6.688 * * [simplify]: Extracting #3: cost 9 inf + 44 6.688 * * [simplify]: Extracting #4: cost 3 inf + 335 6.688 * * [simplify]: Extracting #5: cost 1 inf + 580 6.689 * * [simplify]: Extracting #6: cost 0 inf + 743 6.689 * [simplify]: Simplified to (+ (/ -1/2 (* N N)) (/ 1 N)) 6.689 * [simplify]: Simplified (2 1 2) to (λ (N) (+ (* 1 (+ (/ -1/2 (* N N)) (/ 1 N))) (/ (/ 1/3 (* N N)) N))) 6.689 * * * * [progress]: [ 77 / 91 ] simplifiying candidate # 6.689 * [simplify]: Simplifying (+ (/ 1 N) (/ -1/2 (* N N))) 6.690 * * [simplify]: iters left: 6 (7 enodes) 6.692 * * [simplify]: iters left: 5 (26 enodes) 6.696 * * [simplify]: iters left: 4 (30 enodes) 6.700 * * [simplify]: Extracting #0: cost 1 inf + 0 6.700 * * [simplify]: Extracting #1: cost 4 inf + 0 6.701 * * [simplify]: Extracting #2: cost 11 inf + 0 6.701 * * [simplify]: Extracting #3: cost 9 inf + 44 6.701 * * [simplify]: Extracting #4: cost 3 inf + 335 6.701 * * [simplify]: Extracting #5: cost 1 inf + 580 6.701 * * [simplify]: Extracting #6: cost 0 inf + 743 6.701 * [simplify]: Simplified to (+ (/ -1/2 (* N N)) (/ 1 N)) 6.701 * [simplify]: Simplified (2 1 2) to (λ (N) (+ (* 1 (+ (/ -1/2 (* N N)) (/ 1 N))) (/ (/ 1/3 (* N N)) N))) 6.701 * * * * [progress]: [ 78 / 91 ] simplifiying candidate #real (real->posit16 (+ (/ 1 N) (/ -1/2 (* N N))))) (/ (/ 1/3 (* N N)) N)))> 6.701 * * * * [progress]: [ 79 / 91 ] simplifiying candidate # 6.701 * * * * [progress]: [ 80 / 91 ] simplifiying candidate # 6.702 * [simplify]: Simplifying (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 6.702 * * [simplify]: iters left: 6 (15 enodes) 6.707 * * [simplify]: iters left: 5 (68 enodes) 6.721 * * [simplify]: iters left: 4 (114 enodes) 6.740 * * [simplify]: iters left: 3 (170 enodes) 6.771 * * [simplify]: iters left: 2 (277 enodes) 6.819 * * [simplify]: iters left: 1 (483 enodes) 7.085 * * [simplify]: Extracting #0: cost 1 inf + 0 7.085 * * [simplify]: Extracting #1: cost 16 inf + 0 7.085 * * [simplify]: Extracting #2: cost 115 inf + 0 7.087 * * [simplify]: Extracting #3: cost 226 inf + 172 7.090 * * [simplify]: Extracting #4: cost 204 inf + 4343 7.097 * * [simplify]: Extracting #5: cost 131 inf + 27246 7.114 * * [simplify]: Extracting #6: cost 12 inf + 97808 7.135 * * [simplify]: Extracting #7: cost 0 inf + 106610 7.157 * [simplify]: Simplified to (+ (/ 1 N) (/ (* 1 (+ (/ 1/3 N) -1/2)) (* N N))) 7.157 * [simplify]: Simplified (2) to (λ (N) (+ (/ 1 N) (/ (* 1 (+ (/ 1/3 N) -1/2)) (* N N)))) 7.158 * * * * [progress]: [ 81 / 91 ] simplifiying candidate # 7.158 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 7.158 * * [simplify]: iters left: 6 (15 enodes) 7.169 * * [simplify]: iters left: 5 (68 enodes) 7.185 * * [simplify]: iters left: 4 (114 enodes) 7.206 * * [simplify]: iters left: 3 (170 enodes) 7.262 * * [simplify]: iters left: 2 (278 enodes) 7.318 * * [simplify]: Extracting #0: cost 1 inf + 0 7.318 * * [simplify]: Extracting #1: cost 11 inf + 0 7.318 * * [simplify]: Extracting #2: cost 69 inf + 0 7.318 * * [simplify]: Extracting #3: cost 110 inf + 741 7.320 * * [simplify]: Extracting #4: cost 88 inf + 3078 7.325 * * [simplify]: Extracting #5: cost 40 inf + 17981 7.331 * * [simplify]: Extracting #6: cost 6 inf + 30433 7.339 * * [simplify]: Extracting #7: cost 0 inf + 32845 7.347 * * [simplify]: Extracting #8: cost 0 inf + 32765 7.351 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 7.351 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 7.351 * * * * [progress]: [ 82 / 91 ] simplifiying candidate # 7.351 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 7.351 * * [simplify]: iters left: 6 (15 enodes) 7.358 * * [simplify]: iters left: 5 (68 enodes) 7.373 * * [simplify]: iters left: 4 (114 enodes) 7.411 * * [simplify]: iters left: 3 (170 enodes) 7.454 * * [simplify]: iters left: 2 (278 enodes) 7.515 * * [simplify]: Extracting #0: cost 1 inf + 0 7.515 * * [simplify]: Extracting #1: cost 11 inf + 0 7.515 * * [simplify]: Extracting #2: cost 69 inf + 0 7.516 * * [simplify]: Extracting #3: cost 110 inf + 741 7.517 * * [simplify]: Extracting #4: cost 88 inf + 3078 7.519 * * [simplify]: Extracting #5: cost 40 inf + 17981 7.524 * * [simplify]: Extracting #6: cost 6 inf + 30433 7.532 * * [simplify]: Extracting #7: cost 0 inf + 32845 7.541 * * [simplify]: Extracting #8: cost 0 inf + 32765 7.548 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 7.548 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 7.548 * * * * [progress]: [ 83 / 91 ] simplifiying candidate # 7.548 * [simplify]: Simplifying (/ 1/3 (pow N 2)) 7.548 * * [simplify]: iters left: 3 (5 enodes) 7.550 * * [simplify]: iters left: 2 (20 enodes) 7.554 * * [simplify]: iters left: 1 (26 enodes) 7.558 * * [simplify]: Extracting #0: cost 1 inf + 0 7.558 * * [simplify]: Extracting #1: cost 6 inf + 0 7.558 * * [simplify]: Extracting #2: cost 6 inf + 43 7.558 * * [simplify]: Extracting #3: cost 0 inf + 333 7.558 * [simplify]: Simplified to (/ 1/3 (* N N)) 7.558 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 7.558 * * * * [progress]: [ 84 / 91 ] simplifiying candidate # 7.558 * [simplify]: Simplifying (/ 1/3 (pow N 2)) 7.558 * * [simplify]: iters left: 3 (5 enodes) 7.560 * * [simplify]: iters left: 2 (20 enodes) 7.563 * * [simplify]: iters left: 1 (26 enodes) 7.567 * * [simplify]: Extracting #0: cost 1 inf + 0 7.568 * * [simplify]: Extracting #1: cost 6 inf + 0 7.568 * * [simplify]: Extracting #2: cost 6 inf + 43 7.568 * * [simplify]: Extracting #3: cost 0 inf + 333 7.568 * [simplify]: Simplified to (/ 1/3 (* N N)) 7.568 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 7.568 * * * * [progress]: [ 85 / 91 ] simplifiying candidate # 7.568 * [simplify]: Simplifying (/ 1/3 (pow N 2)) 7.568 * * [simplify]: iters left: 3 (5 enodes) 7.570 * * [simplify]: iters left: 2 (20 enodes) 7.573 * * [simplify]: iters left: 1 (26 enodes) 7.577 * * [simplify]: Extracting #0: cost 1 inf + 0 7.577 * * [simplify]: Extracting #1: cost 6 inf + 0 7.577 * * [simplify]: Extracting #2: cost 6 inf + 43 7.577 * * [simplify]: Extracting #3: cost 0 inf + 333 7.577 * [simplify]: Simplified to (/ 1/3 (* N N)) 7.577 * [simplify]: Simplified (2 2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 7.577 * * * * [progress]: [ 86 / 91 ] simplifiying candidate # 7.578 * [simplify]: Simplifying (/ -1/2 (pow N 2)) 7.578 * * [simplify]: iters left: 3 (5 enodes) 7.580 * * [simplify]: iters left: 2 (20 enodes) 7.583 * * [simplify]: iters left: 1 (26 enodes) 7.587 * * [simplify]: Extracting #0: cost 1 inf + 0 7.587 * * [simplify]: Extracting #1: cost 6 inf + 0 7.587 * * [simplify]: Extracting #2: cost 6 inf + 43 7.587 * * [simplify]: Extracting #3: cost 0 inf + 333 7.588 * [simplify]: Simplified to (/ -1/2 (* N N)) 7.588 * [simplify]: Simplified (2 1 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 7.588 * * * * [progress]: [ 87 / 91 ] simplifiying candidate # 7.588 * [simplify]: Simplifying (/ -1/2 (pow N 2)) 7.588 * * [simplify]: iters left: 3 (5 enodes) 7.590 * * [simplify]: iters left: 2 (20 enodes) 7.596 * * [simplify]: iters left: 1 (26 enodes) 7.604 * * [simplify]: Extracting #0: cost 1 inf + 0 7.604 * * [simplify]: Extracting #1: cost 6 inf + 0 7.604 * * [simplify]: Extracting #2: cost 6 inf + 43 7.604 * * [simplify]: Extracting #3: cost 0 inf + 333 7.605 * [simplify]: Simplified to (/ -1/2 (* N N)) 7.605 * [simplify]: Simplified (2 1 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 7.605 * * * * [progress]: [ 88 / 91 ] simplifiying candidate # 7.605 * [simplify]: Simplifying (/ -1/2 (pow N 2)) 7.605 * * [simplify]: iters left: 3 (5 enodes) 7.609 * * [simplify]: iters left: 2 (20 enodes) 7.617 * * [simplify]: iters left: 1 (26 enodes) 7.627 * * [simplify]: Extracting #0: cost 1 inf + 0 7.627 * * [simplify]: Extracting #1: cost 6 inf + 0 7.627 * * [simplify]: Extracting #2: cost 6 inf + 43 7.627 * * [simplify]: Extracting #3: cost 0 inf + 333 7.627 * [simplify]: Simplified to (/ -1/2 (* N N)) 7.627 * [simplify]: Simplified (2 1 2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 7.628 * * * * [progress]: [ 89 / 91 ] simplifiying candidate # 7.628 * [simplify]: Simplifying (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 7.628 * * [simplify]: iters left: 6 (9 enodes) 7.634 * * [simplify]: iters left: 5 (38 enodes) 7.649 * * [simplify]: iters left: 4 (55 enodes) 7.664 * * [simplify]: iters left: 3 (66 enodes) 7.680 * * [simplify]: iters left: 2 (78 enodes) 7.698 * * [simplify]: iters left: 1 (83 enodes) 7.718 * * [simplify]: Extracting #0: cost 1 inf + 0 7.718 * * [simplify]: Extracting #1: cost 5 inf + 0 7.718 * * [simplify]: Extracting #2: cost 19 inf + 0 7.719 * * [simplify]: Extracting #3: cost 19 inf + 169 7.719 * * [simplify]: Extracting #4: cost 4 inf + 1239 7.720 * * [simplify]: Extracting #5: cost 0 inf + 1569 7.721 * * [simplify]: Extracting #6: cost 0 inf + 1529 7.722 * [simplify]: Simplified to (+ (/ 1 N) (/ -1/2 (* N N))) 7.722 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 7.722 * * * * [progress]: [ 90 / 91 ] simplifiying candidate # 7.722 * [simplify]: Simplifying (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 7.723 * * [simplify]: iters left: 6 (9 enodes) 7.729 * * [simplify]: iters left: 5 (38 enodes) 7.742 * * [simplify]: iters left: 4 (55 enodes) 7.756 * * [simplify]: iters left: 3 (66 enodes) 7.767 * * [simplify]: iters left: 2 (78 enodes) 7.786 * * [simplify]: iters left: 1 (83 enodes) 7.801 * * [simplify]: Extracting #0: cost 1 inf + 0 7.801 * * [simplify]: Extracting #1: cost 5 inf + 0 7.801 * * [simplify]: Extracting #2: cost 19 inf + 0 7.801 * * [simplify]: Extracting #3: cost 19 inf + 169 7.802 * * [simplify]: Extracting #4: cost 4 inf + 1239 7.802 * * [simplify]: Extracting #5: cost 0 inf + 1569 7.803 * * [simplify]: Extracting #6: cost 0 inf + 1529 7.803 * [simplify]: Simplified to (+ (/ 1 N) (/ -1/2 (* N N))) 7.803 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 7.803 * * * * [progress]: [ 91 / 91 ] simplifiying candidate # 7.804 * [simplify]: Simplifying (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 7.804 * * [simplify]: iters left: 6 (9 enodes) 7.808 * * [simplify]: iters left: 5 (38 enodes) 7.815 * * [simplify]: iters left: 4 (55 enodes) 7.824 * * [simplify]: iters left: 3 (66 enodes) 7.841 * * [simplify]: iters left: 2 (78 enodes) 7.863 * * [simplify]: iters left: 1 (83 enodes) 7.887 * * [simplify]: Extracting #0: cost 1 inf + 0 7.887 * * [simplify]: Extracting #1: cost 5 inf + 0 7.887 * * [simplify]: Extracting #2: cost 19 inf + 0 7.887 * * [simplify]: Extracting #3: cost 19 inf + 169 7.888 * * [simplify]: Extracting #4: cost 4 inf + 1239 7.889 * * [simplify]: Extracting #5: cost 0 inf + 1569 7.890 * * [simplify]: Extracting #6: cost 0 inf + 1529 7.891 * [simplify]: Simplified to (+ (/ 1 N) (/ -1/2 (* N N))) 7.891 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 7.893 * * * [progress]: adding candidates to table 8.683 * * [progress]: iteration 3 / 4 8.684 * * * [progress]: picking best candidate 8.689 * * * * [pick]: Picked # 8.689 * * * [progress]: localizing error 8.744 * * * [progress]: generating rewritten candidates 8.744 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2) 8.777 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 8.845 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 8.982 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 8.998 * * * [progress]: generating series expansions 8.998 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2) 8.999 * [backup-simplify]: Simplify (/ (* -1/2 N) (* N N)) into (/ -1/2 N) 8.999 * [approximate]: Taking taylor expansion of (/ -1/2 N) in (N) around 0 8.999 * [taylor]: Taking taylor expansion of (/ -1/2 N) in N 8.999 * [taylor]: Taking taylor expansion of -1/2 in N 8.999 * [backup-simplify]: Simplify -1/2 into -1/2 8.999 * [taylor]: Taking taylor expansion of N in N 8.999 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify 1 into 1 9.000 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.000 * [taylor]: Taking taylor expansion of (/ -1/2 N) in N 9.000 * [taylor]: Taking taylor expansion of -1/2 in N 9.000 * [backup-simplify]: Simplify -1/2 into -1/2 9.000 * [taylor]: Taking taylor expansion of N in N 9.000 * [backup-simplify]: Simplify 0 into 0 9.000 * [backup-simplify]: Simplify 1 into 1 9.000 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.000 * [backup-simplify]: Simplify -1/2 into -1/2 9.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 9.001 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.002 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.003 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.004 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify (* -1/2 (/ 1 N)) into (/ -1/2 N) 9.005 * [backup-simplify]: Simplify (/ (* -1/2 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (* -1/2 N) 9.005 * [approximate]: Taking taylor expansion of (* -1/2 N) in (N) around 0 9.005 * [taylor]: Taking taylor expansion of (* -1/2 N) in N 9.005 * [taylor]: Taking taylor expansion of -1/2 in N 9.005 * [backup-simplify]: Simplify -1/2 into -1/2 9.005 * [taylor]: Taking taylor expansion of N in N 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.005 * [taylor]: Taking taylor expansion of (* -1/2 N) in N 9.005 * [taylor]: Taking taylor expansion of -1/2 in N 9.005 * [backup-simplify]: Simplify -1/2 into -1/2 9.005 * [taylor]: Taking taylor expansion of N in N 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.006 * [backup-simplify]: Simplify (* -1/2 0) into 0 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 9.006 * [backup-simplify]: Simplify -1/2 into -1/2 9.007 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.007 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.008 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.009 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.010 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 9.011 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify (* -1/2 (/ 1 N)) into (/ -1/2 N) 9.011 * [backup-simplify]: Simplify (/ (* -1/2 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/2 N) 9.011 * [approximate]: Taking taylor expansion of (* 1/2 N) in (N) around 0 9.011 * [taylor]: Taking taylor expansion of (* 1/2 N) in N 9.011 * [taylor]: Taking taylor expansion of 1/2 in N 9.011 * [backup-simplify]: Simplify 1/2 into 1/2 9.012 * [taylor]: Taking taylor expansion of N in N 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify 1 into 1 9.012 * [taylor]: Taking taylor expansion of (* 1/2 N) in N 9.012 * [taylor]: Taking taylor expansion of 1/2 in N 9.012 * [backup-simplify]: Simplify 1/2 into 1/2 9.012 * [taylor]: Taking taylor expansion of N in N 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify 1 into 1 9.012 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.012 * [backup-simplify]: Simplify 1/2 into 1/2 9.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.013 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.014 * [backup-simplify]: Simplify 0 into 0 9.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.015 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.016 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 9.017 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify (* 1/2 (/ 1 (- N))) into (/ -1/2 N) 9.017 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 9.017 * [backup-simplify]: Simplify (* (- (/ 1 N) (/ -1/2 (* N N))) N) into (* (+ (* 1/2 (/ 1 (pow N 2))) (/ 1 N)) N) 9.017 * [approximate]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (pow N 2))) (/ 1 N)) N) in (N) around 0 9.018 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (pow N 2))) (/ 1 N)) N) in N 9.018 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow N 2))) (/ 1 N)) in N 9.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 9.018 * [taylor]: Taking taylor expansion of 1/2 in N 9.018 * [backup-simplify]: Simplify 1/2 into 1/2 9.018 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.018 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.018 * [taylor]: Taking taylor expansion of N in N 9.018 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify 1 into 1 9.018 * [backup-simplify]: Simplify (* 1 1) into 1 9.018 * [backup-simplify]: Simplify (/ 1 1) into 1 9.018 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.018 * [taylor]: Taking taylor expansion of N in N 9.018 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify 1 into 1 9.018 * [backup-simplify]: Simplify (/ 1 1) into 1 9.019 * [taylor]: Taking taylor expansion of N in N 9.019 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify 1 into 1 9.019 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (pow N 2))) (/ 1 N)) N) in N 9.019 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow N 2))) (/ 1 N)) in N 9.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 9.019 * [taylor]: Taking taylor expansion of 1/2 in N 9.019 * [backup-simplify]: Simplify 1/2 into 1/2 9.019 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.019 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.019 * [taylor]: Taking taylor expansion of N in N 9.019 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify 1 into 1 9.019 * [backup-simplify]: Simplify (* 1 1) into 1 9.019 * [backup-simplify]: Simplify (/ 1 1) into 1 9.019 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.019 * [taylor]: Taking taylor expansion of N in N 9.019 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify 1 into 1 9.020 * [backup-simplify]: Simplify (/ 1 1) into 1 9.020 * [taylor]: Taking taylor expansion of N in N 9.020 * [backup-simplify]: Simplify 0 into 0 9.020 * [backup-simplify]: Simplify 1 into 1 9.020 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.020 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.020 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.020 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.022 * [backup-simplify]: Simplify (+ 0 1) into 1 9.022 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 1 0)) into 1/2 9.022 * [backup-simplify]: Simplify 1/2 into 1/2 9.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.025 * [backup-simplify]: Simplify (+ 0 0) into 0 9.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1 1) (* 0 0))) into 1 9.026 * [backup-simplify]: Simplify 1 into 1 9.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.028 * [backup-simplify]: Simplify (+ 0 0) into 0 9.029 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.029 * [backup-simplify]: Simplify 0 into 0 9.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.032 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.034 * [backup-simplify]: Simplify (+ 0 0) into 0 9.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.035 * [backup-simplify]: Simplify 0 into 0 9.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.041 * [backup-simplify]: Simplify (+ 0 0) into 0 9.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.042 * [backup-simplify]: Simplify 0 into 0 9.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.046 * [backup-simplify]: Simplify (+ 0 0) into 0 9.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.047 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.048 * [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 9.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.050 * [backup-simplify]: Simplify (+ 0 0) into 0 9.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 9.051 * [backup-simplify]: Simplify 0 into 0 9.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 9.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 9.055 * [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 9.055 * [backup-simplify]: Simplify (+ 0 0) into 0 9.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 9.056 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify (+ 1 (* 1/2 (/ 1 N))) into (+ (* 1/2 (/ 1 N)) 1) 9.057 * [backup-simplify]: Simplify (* (- (/ 1 (/ 1 N)) (/ -1/2 (* (/ 1 N) (/ 1 N)))) (/ 1 N)) into (/ (+ N (* 1/2 (pow N 2))) N) 9.057 * [approximate]: Taking taylor expansion of (/ (+ N (* 1/2 (pow N 2))) N) in (N) around 0 9.057 * [taylor]: Taking taylor expansion of (/ (+ N (* 1/2 (pow N 2))) N) in N 9.057 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 9.057 * [taylor]: Taking taylor expansion of N in N 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify 1 into 1 9.057 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.057 * [taylor]: Taking taylor expansion of 1/2 in N 9.057 * [backup-simplify]: Simplify 1/2 into 1/2 9.057 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.057 * [taylor]: Taking taylor expansion of N in N 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify 1 into 1 9.057 * [taylor]: Taking taylor expansion of N in N 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify 1 into 1 9.057 * [backup-simplify]: Simplify (+ 0 0) into 0 9.058 * [backup-simplify]: Simplify (+ 1 0) into 1 9.058 * [backup-simplify]: Simplify (/ 1 1) into 1 9.058 * [taylor]: Taking taylor expansion of (/ (+ N (* 1/2 (pow N 2))) N) in N 9.058 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 9.058 * [taylor]: Taking taylor expansion of N in N 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify 1 into 1 9.058 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.058 * [taylor]: Taking taylor expansion of 1/2 in N 9.058 * [backup-simplify]: Simplify 1/2 into 1/2 9.058 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.058 * [taylor]: Taking taylor expansion of N in N 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify 1 into 1 9.058 * [taylor]: Taking taylor expansion of N in N 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify 1 into 1 9.058 * [backup-simplify]: Simplify (+ 0 0) into 0 9.059 * [backup-simplify]: Simplify (+ 1 0) into 1 9.059 * [backup-simplify]: Simplify (/ 1 1) into 1 9.059 * [backup-simplify]: Simplify 1 into 1 9.059 * [backup-simplify]: Simplify (* 1 1) into 1 9.060 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.060 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.060 * [backup-simplify]: Simplify (- (/ 1/2 1) (+ (* 1 (/ 0 1)))) into 1/2 9.060 * [backup-simplify]: Simplify 1/2 into 1/2 9.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.062 * [backup-simplify]: Simplify (+ 0 0) into 0 9.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1/2 (/ 0 1)))) into 0 9.062 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.065 * [backup-simplify]: Simplify (+ 0 0) into 0 9.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.065 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.070 * [backup-simplify]: Simplify (+ 0 0) into 0 9.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.072 * [backup-simplify]: Simplify (+ 0 0) into 0 9.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.073 * [backup-simplify]: Simplify 0 into 0 9.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.075 * [backup-simplify]: Simplify (+ 0 0) into 0 9.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.076 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.079 * [backup-simplify]: Simplify (+ 0 0) into 0 9.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.079 * [backup-simplify]: Simplify 0 into 0 9.079 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 N)) 1) into (+ (* 1/2 (/ 1 N)) 1) 9.080 * [backup-simplify]: Simplify (* (- (/ 1 (/ 1 (- N))) (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 1 (- N))) into (* -1 (/ (- (* 1/2 (pow N 2)) N) N)) 9.080 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (pow N 2)) N) N)) in (N) around 0 9.080 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (pow N 2)) N) N)) in N 9.080 * [taylor]: Taking taylor expansion of -1 in N 9.080 * [backup-simplify]: Simplify -1 into -1 9.080 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (pow N 2)) N) N) in N 9.080 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow N 2)) N) in N 9.080 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.080 * [taylor]: Taking taylor expansion of 1/2 in N 9.080 * [backup-simplify]: Simplify 1/2 into 1/2 9.080 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.080 * [taylor]: Taking taylor expansion of N in N 9.080 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify 1 into 1 9.080 * [taylor]: Taking taylor expansion of N in N 9.080 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify 1 into 1 9.080 * [taylor]: Taking taylor expansion of N in N 9.080 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify 1 into 1 9.080 * [backup-simplify]: Simplify (- 0) into 0 9.080 * [backup-simplify]: Simplify (+ 0 0) into 0 9.081 * [backup-simplify]: Simplify (- 1) into -1 9.081 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.081 * [backup-simplify]: Simplify (/ -1 1) into -1 9.081 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (pow N 2)) N) N)) in N 9.081 * [taylor]: Taking taylor expansion of -1 in N 9.081 * [backup-simplify]: Simplify -1 into -1 9.081 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (pow N 2)) N) N) in N 9.081 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow N 2)) N) in N 9.081 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.081 * [taylor]: Taking taylor expansion of 1/2 in N 9.081 * [backup-simplify]: Simplify 1/2 into 1/2 9.081 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.081 * [taylor]: Taking taylor expansion of N in N 9.082 * [backup-simplify]: Simplify 0 into 0 9.082 * [backup-simplify]: Simplify 1 into 1 9.082 * [taylor]: Taking taylor expansion of N in N 9.082 * [backup-simplify]: Simplify 0 into 0 9.082 * [backup-simplify]: Simplify 1 into 1 9.082 * [taylor]: Taking taylor expansion of N in N 9.082 * [backup-simplify]: Simplify 0 into 0 9.082 * [backup-simplify]: Simplify 1 into 1 9.082 * [backup-simplify]: Simplify (- 0) into 0 9.082 * [backup-simplify]: Simplify (+ 0 0) into 0 9.082 * [backup-simplify]: Simplify (- 1) into -1 9.083 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.083 * [backup-simplify]: Simplify (/ -1 1) into -1 9.083 * [backup-simplify]: Simplify (* -1 -1) into 1 9.083 * [backup-simplify]: Simplify 1 into 1 9.084 * [backup-simplify]: Simplify (* 1 1) into 1 9.084 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.084 * [backup-simplify]: Simplify (- 0) into 0 9.084 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.085 * [backup-simplify]: Simplify (- (/ 1/2 1) (+ (* -1 (/ 0 1)))) into 1/2 9.085 * [backup-simplify]: Simplify (+ (* -1 1/2) (* 0 -1)) into -1/2 9.085 * [backup-simplify]: Simplify -1/2 into -1/2 9.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.086 * [backup-simplify]: Simplify (- 0) into 0 9.087 * [backup-simplify]: Simplify (+ 0 0) into 0 9.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1/2 (/ 0 1)))) into 0 9.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1))) into 0 9.088 * [backup-simplify]: Simplify 0 into 0 9.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.089 * [backup-simplify]: Simplify (- 0) into 0 9.089 * [backup-simplify]: Simplify (+ 0 0) into 0 9.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.091 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 -1)))) into 0 9.091 * [backup-simplify]: Simplify 0 into 0 9.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.092 * [backup-simplify]: Simplify (- 0) into 0 9.093 * [backup-simplify]: Simplify (+ 0 0) into 0 9.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.094 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 -1))))) into 0 9.094 * [backup-simplify]: Simplify 0 into 0 9.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.097 * [backup-simplify]: Simplify (- 0) into 0 9.097 * [backup-simplify]: Simplify (+ 0 0) into 0 9.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.100 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 -1)))))) into 0 9.100 * [backup-simplify]: Simplify 0 into 0 9.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.103 * [backup-simplify]: Simplify (- 0) into 0 9.104 * [backup-simplify]: Simplify (+ 0 0) into 0 9.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.107 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 -1))))))) into 0 9.107 * [backup-simplify]: Simplify 0 into 0 9.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.111 * [backup-simplify]: Simplify (- 0) into 0 9.111 * [backup-simplify]: Simplify (+ 0 0) into 0 9.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.115 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 -1)))))))) into 0 9.115 * [backup-simplify]: Simplify 0 into 0 9.115 * [backup-simplify]: Simplify (+ (* -1/2 (/ 1 (- N))) 1) into (+ (* 1/2 (/ 1 N)) 1) 9.115 * * * * [progress]: [ 3 / 4 ] generating series at (2) 9.115 * [backup-simplify]: Simplify (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N)) into (/ (- (+ (* 1/3 (/ 1 (pow N 2))) 1) (* 1/2 (/ 1 N))) N) 9.115 * [approximate]: Taking taylor expansion of (/ (- (+ (* 1/3 (/ 1 (pow N 2))) 1) (* 1/2 (/ 1 N))) N) in (N) around 0 9.116 * [taylor]: Taking taylor expansion of (/ (- (+ (* 1/3 (/ 1 (pow N 2))) 1) (* 1/2 (/ 1 N))) N) in N 9.116 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 2))) 1) (* 1/2 (/ 1 N))) in N 9.116 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 2))) 1) in N 9.116 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 2))) in N 9.116 * [taylor]: Taking taylor expansion of 1/3 in N 9.116 * [backup-simplify]: Simplify 1/3 into 1/3 9.116 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.116 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.116 * [taylor]: Taking taylor expansion of N in N 9.116 * [backup-simplify]: Simplify 0 into 0 9.116 * [backup-simplify]: Simplify 1 into 1 9.116 * [backup-simplify]: Simplify (* 1 1) into 1 9.117 * [backup-simplify]: Simplify (/ 1 1) into 1 9.117 * [taylor]: Taking taylor expansion of 1 in N 9.117 * [backup-simplify]: Simplify 1 into 1 9.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 N)) in N 9.117 * [taylor]: Taking taylor expansion of 1/2 in N 9.117 * [backup-simplify]: Simplify 1/2 into 1/2 9.117 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.117 * [taylor]: Taking taylor expansion of N in N 9.117 * [backup-simplify]: Simplify 0 into 0 9.117 * [backup-simplify]: Simplify 1 into 1 9.117 * [backup-simplify]: Simplify (/ 1 1) into 1 9.117 * [taylor]: Taking taylor expansion of N in N 9.117 * [backup-simplify]: Simplify 0 into 0 9.117 * [backup-simplify]: Simplify 1 into 1 9.118 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.118 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.119 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.119 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 9.119 * [taylor]: Taking taylor expansion of (/ (- (+ (* 1/3 (/ 1 (pow N 2))) 1) (* 1/2 (/ 1 N))) N) in N 9.119 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 2))) 1) (* 1/2 (/ 1 N))) in N 9.119 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 2))) 1) in N 9.119 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 2))) in N 9.119 * [taylor]: Taking taylor expansion of 1/3 in N 9.119 * [backup-simplify]: Simplify 1/3 into 1/3 9.119 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.119 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.119 * [taylor]: Taking taylor expansion of N in N 9.119 * [backup-simplify]: Simplify 0 into 0 9.119 * [backup-simplify]: Simplify 1 into 1 9.120 * [backup-simplify]: Simplify (* 1 1) into 1 9.120 * [backup-simplify]: Simplify (/ 1 1) into 1 9.120 * [taylor]: Taking taylor expansion of 1 in N 9.120 * [backup-simplify]: Simplify 1 into 1 9.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 N)) in N 9.120 * [taylor]: Taking taylor expansion of 1/2 in N 9.120 * [backup-simplify]: Simplify 1/2 into 1/2 9.120 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.120 * [taylor]: Taking taylor expansion of N in N 9.120 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify 1 into 1 9.121 * [backup-simplify]: Simplify (/ 1 1) into 1 9.121 * [taylor]: Taking taylor expansion of N in N 9.121 * [backup-simplify]: Simplify 0 into 0 9.121 * [backup-simplify]: Simplify 1 into 1 9.121 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.122 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.122 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.122 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 9.123 * [backup-simplify]: Simplify 1/3 into 1/3 9.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.125 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 9.125 * [backup-simplify]: Simplify (+ 0 0) into 0 9.125 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.126 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.126 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.127 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1/3 (/ 0 1)))) into -1/2 9.127 * [backup-simplify]: Simplify -1/2 into -1/2 9.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.128 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 9.129 * [backup-simplify]: Simplify (+ 0 1) into 1 9.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.130 * [backup-simplify]: Simplify (- 0) into 0 9.130 * [backup-simplify]: Simplify (+ 1 0) into 1 9.131 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1/3 (/ 0 1)) (* -1/2 (/ 0 1)))) into 1 9.131 * [backup-simplify]: Simplify 1 into 1 9.131 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 9.131 * [backup-simplify]: Simplify (/ (* (- (/ 1 (/ 1 N)) (/ -1/2 (* (/ 1 N) (/ 1 N)))) (+ (/ 1/3 (* (/ 1 N) (/ 1 N))) (+ 1 (/ (* -1/2 (/ 1 N)) (* (/ 1 N) (/ 1 N)))))) (* (- (/ 1 (/ 1 N)) (/ -1/2 (* (/ 1 N) (/ 1 N)))) (/ 1 N))) into (* (- (+ (* 1/3 (pow N 2)) 1) (* 1/2 N)) N) 9.131 * [approximate]: Taking taylor expansion of (* (- (+ (* 1/3 (pow N 2)) 1) (* 1/2 N)) N) in (N) around 0 9.131 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/3 (pow N 2)) 1) (* 1/2 N)) N) in N 9.132 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (pow N 2)) 1) (* 1/2 N)) in N 9.132 * [taylor]: Taking taylor expansion of (+ (* 1/3 (pow N 2)) 1) in N 9.132 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 9.132 * [taylor]: Taking taylor expansion of 1/3 in N 9.132 * [backup-simplify]: Simplify 1/3 into 1/3 9.132 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.132 * [taylor]: Taking taylor expansion of N in N 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [taylor]: Taking taylor expansion of 1 in N 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [taylor]: Taking taylor expansion of (* 1/2 N) in N 9.132 * [taylor]: Taking taylor expansion of 1/2 in N 9.132 * [backup-simplify]: Simplify 1/2 into 1/2 9.132 * [taylor]: Taking taylor expansion of N in N 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [taylor]: Taking taylor expansion of N in N 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/3 (pow N 2)) 1) (* 1/2 N)) N) in N 9.132 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (pow N 2)) 1) (* 1/2 N)) in N 9.132 * [taylor]: Taking taylor expansion of (+ (* 1/3 (pow N 2)) 1) in N 9.132 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 9.132 * [taylor]: Taking taylor expansion of 1/3 in N 9.132 * [backup-simplify]: Simplify 1/3 into 1/3 9.132 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.132 * [taylor]: Taking taylor expansion of N in N 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [taylor]: Taking taylor expansion of 1 in N 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [taylor]: Taking taylor expansion of (* 1/2 N) in N 9.132 * [taylor]: Taking taylor expansion of 1/2 in N 9.132 * [backup-simplify]: Simplify 1/2 into 1/2 9.132 * [taylor]: Taking taylor expansion of N in N 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [taylor]: Taking taylor expansion of N in N 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [backup-simplify]: Simplify (+ 0 1) into 1 9.133 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.133 * [backup-simplify]: Simplify (- 0) into 0 9.133 * [backup-simplify]: Simplify (+ 1 0) into 1 9.134 * [backup-simplify]: Simplify (* 1 0) into 0 9.134 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify (+ 0 0) into 0 9.134 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.135 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.135 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.135 * [backup-simplify]: Simplify (+ (* 1 1) (* -1/2 0)) into 1 9.135 * [backup-simplify]: Simplify 1 into 1 9.136 * [backup-simplify]: Simplify (* 1 1) into 1 9.136 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.136 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.137 * [backup-simplify]: Simplify (- 0) into 0 9.137 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 1) (* 1/3 0))) into -1/2 9.138 * [backup-simplify]: Simplify -1/2 into -1/2 9.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.139 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 9.139 * [backup-simplify]: Simplify (+ 0 0) into 0 9.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.140 * [backup-simplify]: Simplify (- 0) into 0 9.140 * [backup-simplify]: Simplify (+ 0 0) into 0 9.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 0) (+ (* 1/3 1) (* 0 0)))) into 1/3 9.141 * [backup-simplify]: Simplify 1/3 into 1/3 9.141 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 9.142 * [backup-simplify]: Simplify (/ (* (- (/ 1 (/ 1 (- N))) (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N))))) (+ (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (+ 1 (/ (* -1/2 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))))) (* (- (/ 1 (/ 1 (- N))) (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 1 (- N)))) into (* -1 (* N (+ (* 1/2 N) (+ (* 1/3 (pow N 2)) 1)))) 9.142 * [approximate]: Taking taylor expansion of (* -1 (* N (+ (* 1/2 N) (+ (* 1/3 (pow N 2)) 1)))) in (N) around 0 9.142 * [taylor]: Taking taylor expansion of (* -1 (* N (+ (* 1/2 N) (+ (* 1/3 (pow N 2)) 1)))) in N 9.142 * [taylor]: Taking taylor expansion of -1 in N 9.142 * [backup-simplify]: Simplify -1 into -1 9.142 * [taylor]: Taking taylor expansion of (* N (+ (* 1/2 N) (+ (* 1/3 (pow N 2)) 1))) in N 9.142 * [taylor]: Taking taylor expansion of N in N 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify 1 into 1 9.142 * [taylor]: Taking taylor expansion of (+ (* 1/2 N) (+ (* 1/3 (pow N 2)) 1)) in N 9.142 * [taylor]: Taking taylor expansion of (* 1/2 N) in N 9.142 * [taylor]: Taking taylor expansion of 1/2 in N 9.142 * [backup-simplify]: Simplify 1/2 into 1/2 9.142 * [taylor]: Taking taylor expansion of N in N 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify 1 into 1 9.142 * [taylor]: Taking taylor expansion of (+ (* 1/3 (pow N 2)) 1) in N 9.142 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 9.142 * [taylor]: Taking taylor expansion of 1/3 in N 9.142 * [backup-simplify]: Simplify 1/3 into 1/3 9.142 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.142 * [taylor]: Taking taylor expansion of N in N 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify 1 into 1 9.142 * [taylor]: Taking taylor expansion of 1 in N 9.142 * [backup-simplify]: Simplify 1 into 1 9.142 * [taylor]: Taking taylor expansion of (* -1 (* N (+ (* 1/2 N) (+ (* 1/3 (pow N 2)) 1)))) in N 9.142 * [taylor]: Taking taylor expansion of -1 in N 9.142 * [backup-simplify]: Simplify -1 into -1 9.142 * [taylor]: Taking taylor expansion of (* N (+ (* 1/2 N) (+ (* 1/3 (pow N 2)) 1))) in N 9.142 * [taylor]: Taking taylor expansion of N in N 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify 1 into 1 9.142 * [taylor]: Taking taylor expansion of (+ (* 1/2 N) (+ (* 1/3 (pow N 2)) 1)) in N 9.142 * [taylor]: Taking taylor expansion of (* 1/2 N) in N 9.142 * [taylor]: Taking taylor expansion of 1/2 in N 9.142 * [backup-simplify]: Simplify 1/2 into 1/2 9.142 * [taylor]: Taking taylor expansion of N in N 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify 1 into 1 9.142 * [taylor]: Taking taylor expansion of (+ (* 1/3 (pow N 2)) 1) in N 9.142 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 9.142 * [taylor]: Taking taylor expansion of 1/3 in N 9.142 * [backup-simplify]: Simplify 1/3 into 1/3 9.142 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.142 * [taylor]: Taking taylor expansion of N in N 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify 1 into 1 9.142 * [taylor]: Taking taylor expansion of 1 in N 9.142 * [backup-simplify]: Simplify 1 into 1 9.143 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.143 * [backup-simplify]: Simplify (+ 0 1) into 1 9.143 * [backup-simplify]: Simplify (+ 0 1) into 1 9.144 * [backup-simplify]: Simplify (* 0 1) into 0 9.144 * [backup-simplify]: Simplify (* -1 0) into 0 9.144 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.145 * [backup-simplify]: Simplify (+ 0 0) into 0 9.145 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.145 * [backup-simplify]: Simplify (+ (* 0 1/2) (* 1 1)) into 1 9.146 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 9.146 * [backup-simplify]: Simplify -1 into -1 9.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.147 * [backup-simplify]: Simplify (* 1 1) into 1 9.147 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.147 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.147 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.148 * [backup-simplify]: Simplify (+ (* 0 1/3) (+ (* 1 1/2) (* 0 1))) into 1/2 9.149 * [backup-simplify]: Simplify (+ (* -1 1/2) (+ (* 0 1) (* 0 0))) into -1/2 9.149 * [backup-simplify]: Simplify -1/2 into -1/2 9.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.150 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 9.151 * [backup-simplify]: Simplify (+ 0 0) into 0 9.151 * [backup-simplify]: Simplify (+ 0 0) into 0 9.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/3) (+ (* 0 1/2) (* 0 1)))) into 1/3 9.153 * [backup-simplify]: Simplify (+ (* -1 1/3) (+ (* 0 1/2) (+ (* 0 1) (* 0 0)))) into -1/3 9.153 * [backup-simplify]: Simplify -1/3 into -1/3 9.153 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 9.153 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 9.153 * [backup-simplify]: Simplify (/ 1/3 (* N N)) into (/ 1/3 (pow N 2)) 9.153 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 2)) in (N) around 0 9.153 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 9.153 * [taylor]: Taking taylor expansion of 1/3 in N 9.153 * [backup-simplify]: Simplify 1/3 into 1/3 9.153 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.153 * [taylor]: Taking taylor expansion of N in N 9.153 * [backup-simplify]: Simplify 0 into 0 9.153 * [backup-simplify]: Simplify 1 into 1 9.153 * [backup-simplify]: Simplify (* 1 1) into 1 9.154 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 9.154 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 9.154 * [taylor]: Taking taylor expansion of 1/3 in N 9.154 * [backup-simplify]: Simplify 1/3 into 1/3 9.154 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.154 * [taylor]: Taking taylor expansion of N in N 9.154 * [backup-simplify]: Simplify 0 into 0 9.154 * [backup-simplify]: Simplify 1 into 1 9.154 * [backup-simplify]: Simplify (* 1 1) into 1 9.154 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 9.154 * [backup-simplify]: Simplify 1/3 into 1/3 9.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 9.155 * [backup-simplify]: Simplify 0 into 0 9.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.156 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.158 * [backup-simplify]: Simplify 0 into 0 9.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.160 * [backup-simplify]: Simplify 0 into 0 9.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.162 * [backup-simplify]: Simplify 0 into 0 9.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.164 * [backup-simplify]: Simplify 0 into 0 9.164 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) 9.165 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 N) (/ 1 N))) into (* 1/3 (pow N 2)) 9.165 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 2)) in (N) around 0 9.165 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 9.165 * [taylor]: Taking taylor expansion of 1/3 in N 9.165 * [backup-simplify]: Simplify 1/3 into 1/3 9.165 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.165 * [taylor]: Taking taylor expansion of N in N 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 1 into 1 9.165 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 9.165 * [taylor]: Taking taylor expansion of 1/3 in N 9.165 * [backup-simplify]: Simplify 1/3 into 1/3 9.165 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.165 * [taylor]: Taking taylor expansion of N in N 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 1 into 1 9.165 * [backup-simplify]: Simplify (* 1 1) into 1 9.166 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.166 * [backup-simplify]: Simplify 1/3 into 1/3 9.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.167 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 9.167 * [backup-simplify]: Simplify 0 into 0 9.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.169 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 9.169 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.171 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.171 * [backup-simplify]: Simplify 0 into 0 9.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.173 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.173 * [backup-simplify]: Simplify 0 into 0 9.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.178 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.178 * [backup-simplify]: Simplify 0 into 0 9.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.181 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.181 * [backup-simplify]: Simplify 0 into 0 9.181 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) 9.181 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/3 (pow N 2)) 9.181 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 2)) in (N) around 0 9.181 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 9.181 * [taylor]: Taking taylor expansion of 1/3 in N 9.182 * [backup-simplify]: Simplify 1/3 into 1/3 9.182 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.182 * [taylor]: Taking taylor expansion of N in N 9.182 * [backup-simplify]: Simplify 0 into 0 9.182 * [backup-simplify]: Simplify 1 into 1 9.182 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 9.182 * [taylor]: Taking taylor expansion of 1/3 in N 9.182 * [backup-simplify]: Simplify 1/3 into 1/3 9.182 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.182 * [taylor]: Taking taylor expansion of N in N 9.182 * [backup-simplify]: Simplify 0 into 0 9.182 * [backup-simplify]: Simplify 1 into 1 9.182 * [backup-simplify]: Simplify (* 1 1) into 1 9.183 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.183 * [backup-simplify]: Simplify 1/3 into 1/3 9.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.184 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 9.184 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.186 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 9.186 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.188 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.188 * [backup-simplify]: Simplify 0 into 0 9.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.190 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.190 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.193 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.193 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.196 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.196 * [backup-simplify]: Simplify 0 into 0 9.196 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (- N)) 2)) into (/ 1/3 (pow N 2)) 9.196 * * * [progress]: simplifying candidates 9.196 * * * * [progress]: [ 1 / 130 ] simplifiying candidate # 9.196 * * * * [progress]: [ 2 / 130 ] simplifiying candidate # 9.197 * [simplify]: Simplifying (- (+ (log -1/2) (log N)) (+ (log N) (log N))) 9.197 * * [simplify]: iters left: 5 (7 enodes) 9.201 * * [simplify]: iters left: 4 (28 enodes) 9.210 * * [simplify]: iters left: 3 (51 enodes) 9.226 * * [simplify]: iters left: 2 (87 enodes) 9.245 * * [simplify]: iters left: 1 (139 enodes) 9.342 * * [simplify]: Extracting #0: cost 1 inf + 0 9.343 * * [simplify]: Extracting #1: cost 30 inf + 0 9.343 * * [simplify]: Extracting #2: cost 65 inf + 1 9.344 * * [simplify]: Extracting #3: cost 52 inf + 1269 9.344 * * [simplify]: Extracting #4: cost 30 inf + 5131 9.347 * * [simplify]: Extracting #5: cost 7 inf + 10259 9.350 * * [simplify]: Extracting #6: cost 0 inf + 11853 9.353 * [simplify]: Simplified to (- (log -1/2) (log N)) 9.353 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (exp (- (log -1/2) (log N)))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 9.354 * * * * [progress]: [ 3 / 130 ] simplifiying candidate # 9.354 * [simplify]: Simplifying (- (+ (log -1/2) (log N)) (log (* N N))) 9.354 * * [simplify]: iters left: 5 (8 enodes) 9.359 * * [simplify]: iters left: 4 (30 enodes) 9.370 * * [simplify]: iters left: 3 (48 enodes) 9.380 * * [simplify]: iters left: 2 (78 enodes) 9.393 * * [simplify]: iters left: 1 (133 enodes) 9.479 * * [simplify]: Extracting #0: cost 1 inf + 0 9.479 * * [simplify]: Extracting #1: cost 18 inf + 0 9.479 * * [simplify]: Extracting #2: cost 55 inf + 1 9.479 * * [simplify]: Extracting #3: cost 45 inf + 894 9.480 * * [simplify]: Extracting #4: cost 24 inf + 4263 9.482 * * [simplify]: Extracting #5: cost 4 inf + 8722 9.485 * * [simplify]: Extracting #6: cost 0 inf + 9690 9.487 * [simplify]: Simplified to (- (log -1/2) (log N)) 9.487 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (exp (- (log -1/2) (log N)))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 9.487 * * * * [progress]: [ 4 / 130 ] simplifiying candidate # 9.487 * [simplify]: Simplifying (- (log (* -1/2 N)) (+ (log N) (log N))) 9.487 * * [simplify]: iters left: 5 (7 enodes) 9.490 * * [simplify]: iters left: 4 (28 enodes) 9.499 * * [simplify]: iters left: 3 (46 enodes) 9.514 * * [simplify]: iters left: 2 (77 enodes) 9.533 * * [simplify]: iters left: 1 (121 enodes) 9.612 * * [simplify]: Extracting #0: cost 1 inf + 0 9.612 * * [simplify]: Extracting #1: cost 15 inf + 0 9.612 * * [simplify]: Extracting #2: cost 47 inf + 1 9.613 * * [simplify]: Extracting #3: cost 44 inf + 145 9.614 * * [simplify]: Extracting #4: cost 25 inf + 3082 9.616 * * [simplify]: Extracting #5: cost 3 inf + 6951 9.620 * * [simplify]: Extracting #6: cost 0 inf + 7626 9.623 * [simplify]: Simplified to (- (log -1/2) (log N)) 9.623 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (exp (- (log -1/2) (log N)))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 9.624 * * * * [progress]: [ 5 / 130 ] simplifiying candidate # 9.624 * [simplify]: Simplifying (- (log (* -1/2 N)) (log (* N N))) 9.624 * * [simplify]: iters left: 5 (7 enodes) 9.626 * * [simplify]: iters left: 4 (28 enodes) 9.632 * * [simplify]: iters left: 3 (44 enodes) 9.639 * * [simplify]: iters left: 2 (71 enodes) 9.652 * * [simplify]: iters left: 1 (112 enodes) 9.689 * * [simplify]: Extracting #0: cost 1 inf + 0 9.689 * * [simplify]: Extracting #1: cost 30 inf + 0 9.690 * * [simplify]: Extracting #2: cost 62 inf + 1 9.690 * * [simplify]: Extracting #3: cost 63 inf + 3 9.691 * * [simplify]: Extracting #4: cost 38 inf + 3100 9.695 * * [simplify]: Extracting #5: cost 0 inf + 10672 9.699 * * [simplify]: Extracting #6: cost 0 inf + 10222 9.702 * [simplify]: Simplified to (- (log -1/2) (log N)) 9.702 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (exp (- (log -1/2) (log N)))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 9.702 * * * * [progress]: [ 6 / 130 ] simplifiying candidate # 9.703 * * * * [progress]: [ 7 / 130 ] simplifiying candidate # 9.703 * * * * [progress]: [ 8 / 130 ] simplifiying candidate # 9.703 * [simplify]: Simplifying (/ (* (* (* -1/2 -1/2) -1/2) (* (* N N) N)) (* (* (* N N) N) (* (* N N) N))) 9.703 * * [simplify]: iters left: 6 (9 enodes) 9.711 * * [simplify]: iters left: 5 (48 enodes) 9.731 * * [simplify]: iters left: 4 (217 enodes) 9.950 * * [simplify]: Extracting #0: cost 1 inf + 0 9.951 * * [simplify]: Extracting #1: cost 184 inf + 0 9.953 * * [simplify]: Extracting #2: cost 315 inf + 582 9.965 * * [simplify]: Extracting #3: cost 94 inf + 25614 9.985 * * [simplify]: Extracting #4: cost 1 inf + 39506 10.007 * * [simplify]: Extracting #5: cost 0 inf + 39718 10.028 * [simplify]: Simplified to (/ (/ -1/8 N) (* N N)) 10.028 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (cbrt (/ (/ -1/8 N) (* N N)))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 10.028 * * * * [progress]: [ 9 / 130 ] simplifiying candidate # 10.028 * [simplify]: Simplifying (/ (* (* (* -1/2 -1/2) -1/2) (* (* N N) N)) (* (* (* N N) (* N N)) (* N N))) 10.028 * * [simplify]: iters left: 6 (10 enodes) 10.032 * * [simplify]: iters left: 5 (51 enodes) 10.049 * * [simplify]: iters left: 4 (232 enodes) 10.260 * * [simplify]: Extracting #0: cost 1 inf + 0 10.260 * * [simplify]: Extracting #1: cost 170 inf + 0 10.262 * * [simplify]: Extracting #2: cost 366 inf + 1221 10.268 * * [simplify]: Extracting #3: cost 113 inf + 31445 10.284 * * [simplify]: Extracting #4: cost 0 inf + 47566 10.305 * [simplify]: Simplified to (/ -1/8 (* N (* N N))) 10.305 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (cbrt (/ -1/8 (* N (* N N))))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 10.305 * * * * [progress]: [ 10 / 130 ] simplifiying candidate # 10.306 * [simplify]: Simplifying (/ (* (* (* -1/2 N) (* -1/2 N)) (* -1/2 N)) (* (* (* N N) N) (* (* N N) N))) 10.306 * * [simplify]: iters left: 6 (9 enodes) 10.309 * * [simplify]: iters left: 5 (52 enodes) 10.324 * * [simplify]: iters left: 4 (226 enodes) 10.731 * * [simplify]: Extracting #0: cost 1 inf + 0 10.732 * * [simplify]: Extracting #1: cost 139 inf + 0 10.735 * * [simplify]: Extracting #2: cost 275 inf + 2290 10.750 * * [simplify]: Extracting #3: cost 103 inf + 27097 10.778 * * [simplify]: Extracting #4: cost 1 inf + 41613 10.806 * * [simplify]: Extracting #5: cost 0 inf + 41659 10.821 * [simplify]: Simplified to (/ (/ -1/8 (* N N)) N) 10.821 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (cbrt (/ (/ -1/8 (* N N)) N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 10.822 * * * * [progress]: [ 11 / 130 ] simplifiying candidate # 10.822 * [simplify]: Simplifying (/ (* (* (* -1/2 N) (* -1/2 N)) (* -1/2 N)) (* (* (* N N) (* N N)) (* N N))) 10.822 * * [simplify]: iters left: 6 (9 enodes) 10.827 * * [simplify]: iters left: 5 (53 enodes) 10.841 * * [simplify]: iters left: 4 (235 enodes) 11.309 * * [simplify]: Extracting #0: cost 1 inf + 0 11.310 * * [simplify]: Extracting #1: cost 132 inf + 0 11.313 * * [simplify]: Extracting #2: cost 279 inf + 2897 11.329 * * [simplify]: Extracting #3: cost 74 inf + 31813 11.359 * * [simplify]: Extracting #4: cost 3 inf + 42444 11.396 * * [simplify]: Extracting #5: cost 0 inf + 42562 11.425 * * [simplify]: Extracting #6: cost 0 inf + 42444 11.455 * [simplify]: Simplified to (/ (/ -1/8 N) (* N N)) 11.455 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (cbrt (/ (/ -1/8 N) (* N N)))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 11.455 * * * * [progress]: [ 12 / 130 ] simplifiying candidate # 11.455 * * * * [progress]: [ 13 / 130 ] simplifiying candidate # 11.455 * * * * [progress]: [ 14 / 130 ] simplifiying candidate # 11.455 * * * * [progress]: [ 15 / 130 ] simplifiying candidate # 11.455 * * * * [progress]: [ 16 / 130 ] simplifiying candidate # 11.455 * [simplify]: Simplifying (/ -1/2 N) 11.455 * * [simplify]: iters left: 2 (3 enodes) 11.457 * * [simplify]: iters left: 1 (9 enodes) 11.458 * * [simplify]: Extracting #0: cost 1 inf + 0 11.458 * * [simplify]: Extracting #1: cost 4 inf + 0 11.458 * * [simplify]: Extracting #2: cost 2 inf + 2 11.458 * * [simplify]: Extracting #3: cost 0 inf + 86 11.458 * [simplify]: Simplified to (/ -1/2 N) 11.459 * [simplify]: Simplified (2 1 2 2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (* (/ -1/2 N) (/ N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 11.459 * [simplify]: Simplifying (/ N N) 11.459 * * [simplify]: iters left: 2 (2 enodes) 11.459 * * [simplify]: iters left: 1 (5 enodes) 11.460 * * [simplify]: Extracting #0: cost 1 inf + 0 11.460 * * [simplify]: Extracting #1: cost 0 inf + 1 11.460 * [simplify]: Simplified to 1 11.460 * [simplify]: Simplified (2 1 2 2 2 2) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (* (/ -1/2 N) 1)))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 11.460 * * * * [progress]: [ 17 / 130 ] simplifiying candidate # 11.460 * * * * [progress]: [ 18 / 130 ] simplifiying candidate # 11.460 * * * * [progress]: [ 19 / 130 ] simplifiying candidate # 11.460 * * * * [progress]: [ 20 / 130 ] simplifiying candidate # 11.460 * * * * [progress]: [ 21 / 130 ] simplifiying candidate # 11.460 * * * * [progress]: [ 22 / 130 ] simplifiying candidate #real (real->posit16 (/ (* -1/2 N) (* N N))))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N)))> 11.460 * * * * [progress]: [ 23 / 130 ] simplifiying candidate # 11.461 * [simplify]: Simplifying (* (- (/ 1 N) (/ -1/2 (* N N))) N) 11.461 * * [simplify]: iters left: 6 (8 enodes) 11.463 * * [simplify]: iters left: 5 (31 enodes) 11.469 * * [simplify]: iters left: 4 (49 enodes) 11.477 * * [simplify]: iters left: 3 (67 enodes) 11.488 * * [simplify]: iters left: 2 (100 enodes) 11.522 * * [simplify]: iters left: 1 (143 enodes) 11.553 * * [simplify]: Extracting #0: cost 1 inf + 0 11.553 * * [simplify]: Extracting #1: cost 7 inf + 0 11.553 * * [simplify]: Extracting #2: cost 43 inf + 2 11.553 * * [simplify]: Extracting #3: cost 39 inf + 1318 11.554 * * [simplify]: Extracting #4: cost 5 inf + 4112 11.556 * * [simplify]: Extracting #5: cost 0 inf + 4484 11.557 * [simplify]: Simplified to (+ (/ 1/2 N) 1) 11.557 * [simplify]: Simplified (2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (pow (+ (/ 1/2 N) 1) 1))) 11.557 * * * * [progress]: [ 24 / 130 ] simplifiying candidate # 11.557 * * * * [progress]: [ 25 / 130 ] simplifiying candidate # 11.558 * [simplify]: Simplifying (+ (log (- (/ 1 N) (/ -1/2 (* N N)))) (log N)) 11.558 * * [simplify]: iters left: 6 (10 enodes) 11.561 * * [simplify]: iters left: 5 (37 enodes) 11.571 * * [simplify]: iters left: 4 (49 enodes) 11.585 * * [simplify]: iters left: 3 (54 enodes) 11.601 * * [simplify]: Extracting #0: cost 1 inf + 0 11.601 * * [simplify]: Extracting #1: cost 4 inf + 0 11.601 * * [simplify]: Extracting #2: cost 8 inf + 0 11.602 * * [simplify]: Extracting #3: cost 9 inf + 143 11.602 * * [simplify]: Extracting #4: cost 18 inf + 143 11.602 * * [simplify]: Extracting #5: cost 13 inf + 435 11.603 * * [simplify]: Extracting #6: cost 2 inf + 2202 11.604 * * [simplify]: Extracting #7: cost 0 inf + 2286 11.605 * [simplify]: Simplified to (+ (log (- (/ 1 N) (/ -1/2 (* N N)))) (log N)) 11.605 * [simplify]: Simplified (2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (exp (+ (log (- (/ 1 N) (/ -1/2 (* N N)))) (log N))))) 11.605 * * * * [progress]: [ 26 / 130 ] simplifiying candidate # 11.605 * * * * [progress]: [ 27 / 130 ] simplifiying candidate # 11.605 * * * * [progress]: [ 28 / 130 ] simplifiying candidate # 11.605 * [simplify]: Simplifying (* (* (* (- (/ 1 N) (/ -1/2 (* N N))) (- (/ 1 N) (/ -1/2 (* N N)))) (- (/ 1 N) (/ -1/2 (* N N)))) (* (* N N) N)) 11.606 * * [simplify]: iters left: 6 (11 enodes) 11.617 * * [simplify]: iters left: 5 (46 enodes) 11.634 * * [simplify]: iters left: 4 (99 enodes) 11.682 * * [simplify]: iters left: 3 (325 enodes) 11.960 * * [simplify]: Extracting #0: cost 1 inf + 0 11.960 * * [simplify]: Extracting #1: cost 39 inf + 0 11.961 * * [simplify]: Extracting #2: cost 216 inf + 214 11.964 * * [simplify]: Extracting #3: cost 369 inf + 1074 11.977 * * [simplify]: Extracting #4: cost 222 inf + 39155 12.003 * * [simplify]: Extracting #5: cost 11 inf + 103863 12.046 * * [simplify]: Extracting #6: cost 0 inf + 106853 12.101 * * [simplify]: Extracting #7: cost 0 inf + 106852 12.131 * [simplify]: Simplified to (* (* N (* N N)) (* (* (- (/ 1 N) (/ -1/2 (* N N))) (- (/ 1 N) (/ -1/2 (* N N)))) (- (/ 1 N) (/ -1/2 (* N N))))) 12.132 * [simplify]: Simplified (2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (cbrt (* (* N (* N N)) (* (* (- (/ 1 N) (/ -1/2 (* N N))) (- (/ 1 N) (/ -1/2 (* N N)))) (- (/ 1 N) (/ -1/2 (* N N)))))))) 12.132 * * * * [progress]: [ 29 / 130 ] simplifiying candidate # 12.132 * * * * [progress]: [ 30 / 130 ] simplifiying candidate # 12.132 * * * * [progress]: [ 31 / 130 ] simplifiying candidate # 12.132 * * * * [progress]: [ 32 / 130 ] simplifiying candidate # 12.132 * * * * [progress]: [ 33 / 130 ] simplifiying candidate # 12.132 * [simplify]: Simplifying (* (sqrt (- (/ 1 N) (/ -1/2 (* N N)))) (sqrt N)) 12.132 * * [simplify]: iters left: 6 (10 enodes) 12.137 * * [simplify]: iters left: 5 (37 enodes) 12.146 * * [simplify]: iters left: 4 (49 enodes) 12.153 * * [simplify]: iters left: 3 (54 enodes) 12.160 * * [simplify]: Extracting #0: cost 1 inf + 0 12.161 * * [simplify]: Extracting #1: cost 4 inf + 0 12.161 * * [simplify]: Extracting #2: cost 8 inf + 0 12.161 * * [simplify]: Extracting #3: cost 9 inf + 83 12.161 * * [simplify]: Extracting #4: cost 18 inf + 83 12.161 * * [simplify]: Extracting #5: cost 13 inf + 375 12.161 * * [simplify]: Extracting #6: cost 2 inf + 1962 12.162 * * [simplify]: Extracting #7: cost 0 inf + 2046 12.162 * [simplify]: Simplified to (* (sqrt (- (/ 1 N) (/ -1/2 (* N N)))) (sqrt N)) 12.162 * [simplify]: Simplified (2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (* (sqrt (- (/ 1 N) (/ -1/2 (* N N)))) (sqrt N)) (* (sqrt (- (/ 1 N) (/ -1/2 (* N N)))) (sqrt N))))) 12.162 * [simplify]: Simplifying (* (sqrt (- (/ 1 N) (/ -1/2 (* N N)))) (sqrt N)) 12.163 * * [simplify]: iters left: 6 (10 enodes) 12.165 * * [simplify]: iters left: 5 (37 enodes) 12.171 * * [simplify]: iters left: 4 (49 enodes) 12.185 * * [simplify]: iters left: 3 (54 enodes) 12.199 * * [simplify]: Extracting #0: cost 1 inf + 0 12.199 * * [simplify]: Extracting #1: cost 4 inf + 0 12.199 * * [simplify]: Extracting #2: cost 8 inf + 0 12.199 * * [simplify]: Extracting #3: cost 9 inf + 83 12.199 * * [simplify]: Extracting #4: cost 18 inf + 83 12.200 * * [simplify]: Extracting #5: cost 13 inf + 375 12.200 * * [simplify]: Extracting #6: cost 2 inf + 1962 12.201 * * [simplify]: Extracting #7: cost 0 inf + 2046 12.202 * [simplify]: Simplified to (* (sqrt (- (/ 1 N) (/ -1/2 (* N N)))) (sqrt N)) 12.202 * [simplify]: Simplified (2 2 2) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (* (sqrt (- (/ 1 N) (/ -1/2 (* N N)))) (sqrt N)) (* (sqrt (- (/ 1 N) (/ -1/2 (* N N)))) (sqrt N))))) 12.203 * * * * [progress]: [ 34 / 130 ] simplifiying candidate # 12.203 * [simplify]: Simplifying (cbrt N) 12.203 * * [simplify]: iters left: 1 (2 enodes) 12.204 * * [simplify]: Extracting #0: cost 1 inf + 0 12.204 * * [simplify]: Extracting #1: cost 3 inf + 0 12.204 * * [simplify]: Extracting #2: cost 2 inf + 1 12.204 * * [simplify]: Extracting #3: cost 0 inf + 163 12.204 * [simplify]: Simplified to (cbrt N) 12.204 * [simplify]: Simplified (2 2 2) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) (* (cbrt N) (cbrt N))) (cbrt N)))) 12.204 * * * * [progress]: [ 35 / 130 ] simplifiying candidate # 12.205 * [simplify]: Simplifying (sqrt N) 12.205 * * [simplify]: iters left: 1 (2 enodes) 12.205 * * [simplify]: Extracting #0: cost 1 inf + 0 12.205 * * [simplify]: Extracting #1: cost 3 inf + 0 12.205 * * [simplify]: Extracting #2: cost 2 inf + 1 12.206 * * [simplify]: Extracting #3: cost 0 inf + 83 12.206 * [simplify]: Simplified to (sqrt N) 12.206 * [simplify]: Simplified (2 2 2) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) (sqrt N)) (sqrt N)))) 12.206 * * * * [progress]: [ 36 / 130 ] simplifiying candidate # 12.206 * * * * [progress]: [ 37 / 130 ] simplifiying candidate # 12.206 * [simplify]: Simplifying (* (cbrt (- (/ 1 N) (/ -1/2 (* N N)))) (cbrt (- (/ 1 N) (/ -1/2 (* N N))))) 12.206 * * [simplify]: iters left: 6 (9 enodes) 12.209 * * [simplify]: iters left: 5 (33 enodes) 12.214 * * [simplify]: iters left: 4 (45 enodes) 12.221 * * [simplify]: iters left: 3 (50 enodes) 12.228 * * [simplify]: Extracting #0: cost 1 inf + 0 12.228 * * [simplify]: Extracting #1: cost 3 inf + 0 12.229 * * [simplify]: Extracting #2: cost 5 inf + 0 12.229 * * [simplify]: Extracting #3: cost 9 inf + 0 12.229 * * [simplify]: Extracting #4: cost 19 inf + 0 12.229 * * [simplify]: Extracting #5: cost 15 inf + 170 12.229 * * [simplify]: Extracting #6: cost 5 inf + 1111 12.229 * * [simplify]: Extracting #7: cost 0 inf + 2044 12.230 * [simplify]: Simplified to (* (cbrt (+ (/ (/ 1/2 N) N) (/ 1 N))) (cbrt (+ (/ (/ 1/2 N) N) (/ 1 N)))) 12.230 * [simplify]: Simplified (2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (* (cbrt (+ (/ (/ 1/2 N) N) (/ 1 N))) (cbrt (+ (/ (/ 1/2 N) N) (/ 1 N)))) (* (cbrt (- (/ 1 N) (/ -1/2 (* N N)))) N)))) 12.230 * * * * [progress]: [ 38 / 130 ] simplifiying candidate # 12.230 * [simplify]: Simplifying (sqrt (- (/ 1 N) (/ -1/2 (* N N)))) 12.230 * * [simplify]: iters left: 6 (8 enodes) 12.233 * * [simplify]: iters left: 5 (30 enodes) 12.238 * * [simplify]: iters left: 4 (42 enodes) 12.244 * * [simplify]: iters left: 3 (47 enodes) 12.250 * * [simplify]: Extracting #0: cost 1 inf + 0 12.250 * * [simplify]: Extracting #1: cost 3 inf + 0 12.250 * * [simplify]: Extracting #2: cost 7 inf + 0 12.250 * * [simplify]: Extracting #3: cost 17 inf + 0 12.251 * * [simplify]: Extracting #4: cost 16 inf + 4 12.251 * * [simplify]: Extracting #5: cost 5 inf + 624 12.251 * * [simplify]: Extracting #6: cost 0 inf + 1398 12.251 * [simplify]: Simplified to (sqrt (+ (/ (/ 1/2 N) N) (/ 1 N))) 12.251 * [simplify]: Simplified (2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (sqrt (+ (/ (/ 1/2 N) N) (/ 1 N))) (* (sqrt (- (/ 1 N) (/ -1/2 (* N N)))) N)))) 12.252 * * * * [progress]: [ 39 / 130 ] simplifiying candidate # 12.252 * * * * [progress]: [ 40 / 130 ] simplifiying candidate # 12.252 * [simplify]: Simplifying (+ (sqrt (/ 1 N)) (sqrt (/ -1/2 (* N N)))) 12.252 * * [simplify]: iters left: 6 (9 enodes) 12.254 * * [simplify]: iters left: 5 (32 enodes) 12.260 * * [simplify]: iters left: 4 (36 enodes) 12.269 * * [simplify]: Extracting #0: cost 1 inf + 0 12.269 * * [simplify]: Extracting #1: cost 4 inf + 0 12.269 * * [simplify]: Extracting #2: cost 8 inf + 0 12.269 * * [simplify]: Extracting #3: cost 15 inf + 0 12.269 * * [simplify]: Extracting #4: cost 12 inf + 86 12.269 * * [simplify]: Extracting #5: cost 4 inf + 621 12.270 * * [simplify]: Extracting #6: cost 0 inf + 1311 12.270 * [simplify]: Simplified to (+ (sqrt (/ 1 N)) (sqrt (/ -1/2 (* N N)))) 12.270 * [simplify]: Simplified (2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (+ (sqrt (/ 1 N)) (sqrt (/ -1/2 (* N N)))) (* (- (sqrt (/ 1 N)) (sqrt (/ -1/2 (* N N)))) N)))) 12.270 * * * * [progress]: [ 41 / 130 ] simplifiying candidate # 12.271 * [simplify]: Simplifying (+ (sqrt (/ 1 N)) (/ (sqrt -1/2) N)) 12.271 * * [simplify]: iters left: 5 (8 enodes) 12.275 * * [simplify]: iters left: 4 (27 enodes) 12.284 * * [simplify]: iters left: 3 (29 enodes) 12.291 * * [simplify]: Extracting #0: cost 1 inf + 0 12.291 * * [simplify]: Extracting #1: cost 4 inf + 0 12.291 * * [simplify]: Extracting #2: cost 9 inf + 0 12.291 * * [simplify]: Extracting #3: cost 12 inf + 1 12.292 * * [simplify]: Extracting #4: cost 9 inf + 44 12.292 * * [simplify]: Extracting #5: cost 2 inf + 618 12.292 * * [simplify]: Extracting #6: cost 0 inf + 903 12.292 * [simplify]: Simplified to (+ (sqrt (/ 1 N)) (/ (sqrt -1/2) N)) 12.292 * [simplify]: Simplified (2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (+ (sqrt (/ 1 N)) (/ (sqrt -1/2) N)) (* (- (sqrt (/ 1 N)) (/ (sqrt -1/2) N)) N)))) 12.293 * * * * [progress]: [ 42 / 130 ] simplifiying candidate # 12.293 * [simplify]: Simplifying (+ (/ (sqrt 1) (sqrt N)) (sqrt (/ -1/2 (* N N)))) 12.293 * * [simplify]: iters left: 6 (10 enodes) 12.297 * * [simplify]: iters left: 5 (35 enodes) 12.304 * * [simplify]: iters left: 4 (39 enodes) 12.310 * * [simplify]: Extracting #0: cost 1 inf + 0 12.311 * * [simplify]: Extracting #1: cost 4 inf + 0 12.311 * * [simplify]: Extracting #2: cost 9 inf + 0 12.311 * * [simplify]: Extracting #3: cost 14 inf + 1 12.311 * * [simplify]: Extracting #4: cost 10 inf + 249 12.311 * * [simplify]: Extracting #5: cost 0 inf + 1309 12.311 * [simplify]: Simplified to (+ (sqrt (/ -1/2 (* N N))) (/ 1 (sqrt N))) 12.311 * [simplify]: Simplified (2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (+ (sqrt (/ -1/2 (* N N))) (/ 1 (sqrt N))) (* (- (/ (sqrt 1) (sqrt N)) (sqrt (/ -1/2 (* N N)))) N)))) 12.311 * * * * [progress]: [ 43 / 130 ] simplifiying candidate # 12.312 * [simplify]: Simplifying (+ (/ (sqrt 1) (sqrt N)) (/ (sqrt -1/2) N)) 12.312 * * [simplify]: iters left: 5 (9 enodes) 12.315 * * [simplify]: iters left: 4 (30 enodes) 12.319 * * [simplify]: iters left: 3 (32 enodes) 12.324 * * [simplify]: Extracting #0: cost 1 inf + 0 12.324 * * [simplify]: Extracting #1: cost 4 inf + 0 12.324 * * [simplify]: Extracting #2: cost 10 inf + 0 12.324 * * [simplify]: Extracting #3: cost 10 inf + 43 12.324 * * [simplify]: Extracting #4: cost 7 inf + 167 12.324 * * [simplify]: Extracting #5: cost 4 inf + 372 12.325 * * [simplify]: Extracting #6: cost 0 inf + 901 12.325 * [simplify]: Simplified to (+ (/ (sqrt -1/2) N) (/ 1 (sqrt N))) 12.325 * [simplify]: Simplified (2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (+ (/ (sqrt -1/2) N) (/ 1 (sqrt N))) (* (- (/ (sqrt 1) (sqrt N)) (/ (sqrt -1/2) N)) N)))) 12.325 * * * * [progress]: [ 44 / 130 ] simplifiying candidate # 12.325 * [simplify]: Simplifying (+ (/ 1 (sqrt N)) (sqrt (/ -1/2 (* N N)))) 12.325 * * [simplify]: iters left: 6 (9 enodes) 12.328 * * [simplify]: iters left: 5 (32 enodes) 12.332 * * [simplify]: iters left: 4 (36 enodes) 12.338 * * [simplify]: Extracting #0: cost 1 inf + 0 12.338 * * [simplify]: Extracting #1: cost 4 inf + 0 12.338 * * [simplify]: Extracting #2: cost 9 inf + 0 12.338 * * [simplify]: Extracting #3: cost 14 inf + 1 12.338 * * [simplify]: Extracting #4: cost 12 inf + 86 12.338 * * [simplify]: Extracting #5: cost 4 inf + 619 12.338 * * [simplify]: Extracting #6: cost 0 inf + 1309 12.338 * [simplify]: Simplified to (+ (/ 1 (sqrt N)) (sqrt (/ -1/2 (* N N)))) 12.339 * [simplify]: Simplified (2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (+ (/ 1 (sqrt N)) (sqrt (/ -1/2 (* N N)))) (* (- (/ 1 (sqrt N)) (sqrt (/ -1/2 (* N N)))) N)))) 12.339 * * * * [progress]: [ 45 / 130 ] simplifiying candidate # 12.339 * [simplify]: Simplifying (+ (/ 1 (sqrt N)) (/ (sqrt -1/2) N)) 12.339 * * [simplify]: iters left: 5 (8 enodes) 12.341 * * [simplify]: iters left: 4 (27 enodes) 12.345 * * [simplify]: iters left: 3 (29 enodes) 12.350 * * [simplify]: Extracting #0: cost 1 inf + 0 12.350 * * [simplify]: Extracting #1: cost 4 inf + 0 12.350 * * [simplify]: Extracting #2: cost 10 inf + 0 12.350 * * [simplify]: Extracting #3: cost 10 inf + 43 12.350 * * [simplify]: Extracting #4: cost 6 inf + 208 12.350 * * [simplify]: Extracting #5: cost 1 inf + 698 12.351 * * [simplify]: Extracting #6: cost 0 inf + 901 12.351 * [simplify]: Simplified to (+ (/ 1 (sqrt N)) (/ (sqrt -1/2) N)) 12.351 * [simplify]: Simplified (2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (+ (/ 1 (sqrt N)) (/ (sqrt -1/2) N)) (* (- (/ 1 (sqrt N)) (/ (sqrt -1/2) N)) N)))) 12.351 * * * * [progress]: [ 46 / 130 ] simplifiying candidate # 12.351 * * * * [progress]: [ 47 / 130 ] simplifiying candidate # 12.351 * * * * [progress]: [ 48 / 130 ] simplifiying candidate # 12.351 * [simplify]: Simplifying (* (- (* 1 (* N N)) (* N -1/2)) N) 12.351 * * [simplify]: iters left: 6 (8 enodes) 12.354 * * [simplify]: iters left: 5 (30 enodes) 12.360 * * [simplify]: iters left: 4 (52 enodes) 12.370 * * [simplify]: iters left: 3 (86 enodes) 12.384 * * [simplify]: iters left: 2 (112 enodes) 12.403 * * [simplify]: iters left: 1 (156 enodes) 12.439 * * [simplify]: Extracting #0: cost 1 inf + 0 12.439 * * [simplify]: Extracting #1: cost 10 inf + 0 12.439 * * [simplify]: Extracting #2: cost 33 inf + 124 12.440 * * [simplify]: Extracting #3: cost 30 inf + 581 12.440 * * [simplify]: Extracting #4: cost 10 inf + 2322 12.441 * * [simplify]: Extracting #5: cost 0 inf + 4725 12.442 * [simplify]: Simplified to (* (* N N) (- N -1/2)) 12.442 * [simplify]: Simplified (2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (/ (* (* N N) (- N -1/2)) (* N (* N N))))) 12.443 * * * * [progress]: [ 49 / 130 ] simplifiying candidate # 12.443 * [simplify]: Simplifying (* (- (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) N) 12.443 * * [simplify]: iters left: 6 (11 enodes) 12.448 * * [simplify]: iters left: 5 (60 enodes) 12.463 * * [simplify]: iters left: 4 (154 enodes) 12.515 * * [simplify]: iters left: 3 (480 enodes) 12.729 * * [simplify]: Extracting #0: cost 1 inf + 0 12.729 * * [simplify]: Extracting #1: cost 15 inf + 0 12.730 * * [simplify]: Extracting #2: cost 141 inf + 1 12.731 * * [simplify]: Extracting #3: cost 296 inf + 696 12.733 * * [simplify]: Extracting #4: cost 321 inf + 6124 12.739 * * [simplify]: Extracting #5: cost 172 inf + 32671 12.752 * * [simplify]: Extracting #6: cost 35 inf + 77037 12.768 * * [simplify]: Extracting #7: cost 2 inf + 93852 12.796 * * [simplify]: Extracting #8: cost 0 inf + 95231 12.815 * [simplify]: Simplified to (+ (/ (* (/ 1/8 (* N (* N N))) N) (* N (* N N))) (/ 1 (* N N))) 12.815 * [simplify]: Simplified (2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (/ (+ (/ (* (/ 1/8 (* N (* N N))) N) (* N (* N N))) (/ 1 (* N N))) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N)))))))) 12.815 * * * * [progress]: [ 50 / 130 ] simplifiying candidate # 12.815 * [simplify]: Simplifying (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) N) 12.815 * * [simplify]: iters left: 6 (10 enodes) 12.819 * * [simplify]: iters left: 5 (48 enodes) 12.828 * * [simplify]: iters left: 4 (107 enodes) 12.862 * * [simplify]: iters left: 3 (265 enodes) 12.969 * * [simplify]: Extracting #0: cost 1 inf + 0 12.970 * * [simplify]: Extracting #1: cost 46 inf + 0 12.970 * * [simplify]: Extracting #2: cost 164 inf + 1 12.972 * * [simplify]: Extracting #3: cost 228 inf + 1154 12.979 * * [simplify]: Extracting #4: cost 131 inf + 15515 12.992 * * [simplify]: Extracting #5: cost 7 inf + 37049 13.005 * * [simplify]: Extracting #6: cost 0 inf + 37910 13.015 * * [simplify]: Extracting #7: cost 0 inf + 37870 13.031 * [simplify]: Simplified to (- (/ 1 N) (* N (* (/ -1/2 (* N N)) (/ -1/2 (* N N))))) 13.032 * [simplify]: Simplified (2 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (/ (- (/ 1 N) (* N (* (/ -1/2 (* N N)) (/ -1/2 (* N N))))) (+ (/ 1 N) (/ -1/2 (* N N)))))) 13.032 * * * * [progress]: [ 51 / 130 ] simplifiying candidate #real (real->posit16 (* (- (/ 1 N) (/ -1/2 (* N N))) N)))))> 13.032 * * * * [progress]: [ 52 / 130 ] simplifiying candidate # 13.032 * * * * [progress]: [ 53 / 130 ] simplifiying candidate # 13.032 * * * * [progress]: [ 54 / 130 ] simplifiying candidate # 13.032 * [simplify]: Simplifying (- (+ (log (- (/ 1 N) (/ -1/2 (* N N)))) (log (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))))) (+ (log (- (/ 1 N) (/ -1/2 (* N N)))) (log N))) 13.033 * * [simplify]: iters left: 6 (19 enodes) 13.039 * * [simplify]: iters left: 5 (84 enodes) 13.055 * * [simplify]: iters left: 4 (149 enodes) 13.096 * * [simplify]: iters left: 3 (253 enodes) 13.159 * * [simplify]: iters left: 2 (430 enodes) 13.478 * * [simplify]: Extracting #0: cost 1 inf + 0 13.478 * * [simplify]: Extracting #1: cost 49 inf + 0 13.479 * * [simplify]: Extracting #2: cost 146 inf + 1 13.479 * * [simplify]: Extracting #3: cost 156 inf + 2 13.480 * * [simplify]: Extracting #4: cost 196 inf + 523 13.482 * * [simplify]: Extracting #5: cost 184 inf + 9653 13.493 * * [simplify]: Extracting #6: cost 44 inf + 47785 13.515 * * [simplify]: Extracting #7: cost 0 inf + 71894 13.537 * [simplify]: Simplified to (- (log (+ (+ 1 (/ -1/2 N)) (/ 1/3 (* N N)))) (log N)) 13.537 * [simplify]: Simplified (2 1) to (λ (N) (exp (- (log (+ (+ 1 (/ -1/2 N)) (/ 1/3 (* N N)))) (log N)))) 13.538 * * * * [progress]: [ 55 / 130 ] simplifiying candidate # 13.538 * [simplify]: Simplifying (- (+ (log (- (/ 1 N) (/ -1/2 (* N N)))) (log (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))))) (log (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 13.538 * * [simplify]: iters left: 6 (19 enodes) 13.543 * * [simplify]: iters left: 5 (84 enodes) 13.572 * * [simplify]: iters left: 4 (148 enodes) 13.604 * * [simplify]: iters left: 3 (246 enodes) 13.663 * * [simplify]: iters left: 2 (395 enodes) 13.800 * * [simplify]: Extracting #0: cost 1 inf + 0 13.801 * * [simplify]: Extracting #1: cost 61 inf + 0 13.801 * * [simplify]: Extracting #2: cost 143 inf + 1 13.801 * * [simplify]: Extracting #3: cost 156 inf + 2 13.802 * * [simplify]: Extracting #4: cost 215 inf + 338 13.807 * * [simplify]: Extracting #5: cost 168 inf + 13568 13.821 * * [simplify]: Extracting #6: cost 63 inf + 37835 13.849 * * [simplify]: Extracting #7: cost 1 inf + 67958 13.872 * * [simplify]: Extracting #8: cost 0 inf + 68152 13.888 * [simplify]: Simplified to (- (log (+ (+ (/ -1/2 N) (/ 1/3 (* N N))) 1)) (log N)) 13.888 * [simplify]: Simplified (2 1) to (λ (N) (exp (- (log (+ (+ (/ -1/2 N) (/ 1/3 (* N N))) 1)) (log N)))) 13.888 * * * * [progress]: [ 56 / 130 ] simplifiying candidate # 13.888 * [simplify]: Simplifying (- (log (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))))) (+ (log (- (/ 1 N) (/ -1/2 (* N N)))) (log N))) 13.888 * * [simplify]: iters left: 6 (19 enodes) 13.894 * * [simplify]: iters left: 5 (90 enodes) 13.929 * * [simplify]: iters left: 4 (196 enodes) 14.005 * * [simplify]: Extracting #0: cost 1 inf + 0 14.005 * * [simplify]: Extracting #1: cost 18 inf + 0 14.005 * * [simplify]: Extracting #2: cost 39 inf + 0 14.005 * * [simplify]: Extracting #3: cost 79 inf + 1 14.006 * * [simplify]: Extracting #4: cost 194 inf + 184 14.007 * * [simplify]: Extracting #5: cost 166 inf + 4962 14.013 * * [simplify]: Extracting #6: cost 36 inf + 30509 14.024 * * [simplify]: Extracting #7: cost 1 inf + 41926 14.044 * * [simplify]: Extracting #8: cost 0 inf + 42330 14.056 * [simplify]: Simplified to (- (log (+ (- (/ 1 N) (/ -1/2 (* N N))) (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ -1/2 N) (/ 1/3 (* N N)))))) (+ (log (- (/ 1 N) (/ -1/2 (* N N)))) (log N))) 14.056 * [simplify]: Simplified (2 1) to (λ (N) (exp (- (log (+ (- (/ 1 N) (/ -1/2 (* N N))) (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ -1/2 N) (/ 1/3 (* N N)))))) (+ (log (- (/ 1 N) (/ -1/2 (* N N)))) (log N))))) 14.056 * * * * [progress]: [ 57 / 130 ] simplifiying candidate # 14.056 * [simplify]: Simplifying (- (log (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))))) (log (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 14.056 * * [simplify]: iters left: 6 (18 enodes) 14.062 * * [simplify]: iters left: 5 (88 enodes) 14.080 * * [simplify]: iters left: 4 (198 enodes) 14.140 * * [simplify]: Extracting #0: cost 1 inf + 0 14.140 * * [simplify]: Extracting #1: cost 17 inf + 0 14.140 * * [simplify]: Extracting #2: cost 36 inf + 0 14.140 * * [simplify]: Extracting #3: cost 75 inf + 72 14.141 * * [simplify]: Extracting #4: cost 190 inf + 255 14.142 * * [simplify]: Extracting #5: cost 159 inf + 4349 14.148 * * [simplify]: Extracting #6: cost 33 inf + 28832 14.157 * * [simplify]: Extracting #7: cost 0 inf + 38600 14.170 * * [simplify]: Extracting #8: cost 0 inf + 38599 14.180 * [simplify]: Simplified to (- (log (* (+ (+ (/ -1/2 N) (/ 1/3 (* N N))) 1) (- (/ 1 N) (/ -1/2 (* N N))))) (log (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 14.180 * [simplify]: Simplified (2 1) to (λ (N) (exp (- (log (* (+ (+ (/ -1/2 N) (/ 1/3 (* N N))) 1) (- (/ 1 N) (/ -1/2 (* N N))))) (log (* (- (/ 1 N) (/ -1/2 (* N N))) N))))) 14.180 * * * * [progress]: [ 58 / 130 ] simplifiying candidate # 14.180 * * * * [progress]: [ 59 / 130 ] simplifiying candidate # 14.180 * * * * [progress]: [ 60 / 130 ] simplifiying candidate # 14.180 * [simplify]: Simplifying (/ (* (* (* (- (/ 1 N) (/ -1/2 (* N N))) (- (/ 1 N) (/ -1/2 (* N N)))) (- (/ 1 N) (/ -1/2 (* N N)))) (* (* (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))))) (* (* (* (- (/ 1 N) (/ -1/2 (* N N))) (- (/ 1 N) (/ -1/2 (* N N)))) (- (/ 1 N) (/ -1/2 (* N N)))) (* (* N N) N))) 14.181 * * [simplify]: iters left: 6 (21 enodes) 14.190 * * [simplify]: iters left: 5 (114 enodes) 14.247 * * [simplify]: Extracting #0: cost 1 inf + 0 14.247 * * [simplify]: Extracting #1: cost 55 inf + 0 14.248 * * [simplify]: Extracting #2: cost 146 inf + 2 14.249 * * [simplify]: Extracting #3: cost 187 inf + 86 14.251 * * [simplify]: Extracting #4: cost 186 inf + 5725 14.259 * * [simplify]: Extracting #5: cost 120 inf + 22829 14.284 * * [simplify]: Extracting #6: cost 30 inf + 56458 14.317 * * [simplify]: Extracting #7: cost 0 inf + 71418 14.353 * [simplify]: Simplified to (/ (* 1 (* (* (+ (/ -1/2 N) (+ 1 (/ 1/3 (* N N)))) (+ (/ -1/2 N) (+ 1 (/ 1/3 (* N N))))) (+ (/ -1/2 N) (+ 1 (/ 1/3 (* N N)))))) (* N (* N N))) 14.353 * [simplify]: Simplified (2 1) to (λ (N) (cbrt (/ (* 1 (* (* (+ (/ -1/2 N) (+ 1 (/ 1/3 (* N N)))) (+ (/ -1/2 N) (+ 1 (/ 1/3 (* N N))))) (+ (/ -1/2 N) (+ 1 (/ 1/3 (* N N)))))) (* N (* N N))))) 14.353 * * * * [progress]: [ 61 / 130 ] simplifiying candidate # 14.354 * [simplify]: Simplifying (/ (* (* (* (- (/ 1 N) (/ -1/2 (* N N))) (- (/ 1 N) (/ -1/2 (* N N)))) (- (/ 1 N) (/ -1/2 (* N N)))) (* (* (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))))) (* (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (- (/ 1 N) (/ -1/2 (* N N))) N)) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 14.354 * * [simplify]: iters left: 6 (22 enodes) 14.363 * * [simplify]: iters left: 5 (120 enodes) 14.398 * * [simplify]: Extracting #0: cost 1 inf + 0 14.398 * * [simplify]: Extracting #1: cost 46 inf + 0 14.398 * * [simplify]: Extracting #2: cost 167 inf + 1 14.399 * * [simplify]: Extracting #3: cost 220 inf + 43 14.401 * * [simplify]: Extracting #4: cost 201 inf + 9410 14.408 * * [simplify]: Extracting #5: cost 126 inf + 31540 14.425 * * [simplify]: Extracting #6: cost 30 inf + 68507 14.450 * * [simplify]: Extracting #7: cost 0 inf + 82186 14.486 * [simplify]: Simplified to (/ (* (* (+ 1 (+ (/ -1/2 N) (/ 1/3 (* N N)))) (+ 1 (+ (/ -1/2 N) (/ 1/3 (* N N))))) (+ 1 (+ (/ -1/2 N) (/ 1/3 (* N N))))) (/ (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (* (- (/ 1 N) (/ -1/2 (* N N))) (- (/ 1 N) (/ -1/2 (* N N)))) (* N N))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) (- (/ 1 N) (/ -1/2 (* N N)))) (- (/ 1 N) (/ -1/2 (* N N)))))) 14.486 * [simplify]: Simplified (2 1) to (λ (N) (cbrt (/ (* (* (+ 1 (+ (/ -1/2 N) (/ 1/3 (* N N)))) (+ 1 (+ (/ -1/2 N) (/ 1/3 (* N N))))) (+ 1 (+ (/ -1/2 N) (/ 1/3 (* N N))))) (/ (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (* (- (/ 1 N) (/ -1/2 (* N N))) (- (/ 1 N) (/ -1/2 (* N N)))) (* N N))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) (- (/ 1 N) (/ -1/2 (* N N)))) (- (/ 1 N) (/ -1/2 (* N N)))))))) 14.487 * * * * [progress]: [ 62 / 130 ] simplifiying candidate # 14.487 * [simplify]: Simplifying (/ (* (* (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))))) (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))))) (* (* (* (- (/ 1 N) (/ -1/2 (* N N))) (- (/ 1 N) (/ -1/2 (* N N)))) (- (/ 1 N) (/ -1/2 (* N N)))) (* (* N N) N))) 14.487 * * [simplify]: iters left: 6 (21 enodes) 14.500 * * [simplify]: iters left: 5 (112 enodes) 14.542 * * [simplify]: Extracting #0: cost 1 inf + 0 14.543 * * [simplify]: Extracting #1: cost 51 inf + 0 14.543 * * [simplify]: Extracting #2: cost 174 inf + 1 14.544 * * [simplify]: Extracting #3: cost 217 inf + 84 14.545 * * [simplify]: Extracting #4: cost 200 inf + 4561 14.549 * * [simplify]: Extracting #5: cost 155 inf + 13970 14.561 * * [simplify]: Extracting #6: cost 97 inf + 33706 14.581 * * [simplify]: Extracting #7: cost 13 inf + 71726 14.612 * * [simplify]: Extracting #8: cost 0 inf + 78298 14.630 * [simplify]: Simplified to (/ (/ (* (* (* (+ (+ (/ 1/3 (* N N)) (/ -1/2 N)) 1) (- (/ 1 N) (/ -1/2 (* N N)))) (* (+ (+ (/ 1/3 (* N N)) (/ -1/2 N)) 1) (- (/ 1 N) (/ -1/2 (* N N))))) (* (+ (+ (/ 1/3 (* N N)) (/ -1/2 N)) 1) (- (/ 1 N) (/ -1/2 (* N N))))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) (- (/ 1 N) (/ -1/2 (* N N)))) (* (- (/ 1 N) (/ -1/2 (* N N))) (* N N)))) N) 14.630 * [simplify]: Simplified (2 1) to (λ (N) (cbrt (/ (/ (* (* (* (+ (+ (/ 1/3 (* N N)) (/ -1/2 N)) 1) (- (/ 1 N) (/ -1/2 (* N N)))) (* (+ (+ (/ 1/3 (* N N)) (/ -1/2 N)) 1) (- (/ 1 N) (/ -1/2 (* N N))))) (* (+ (+ (/ 1/3 (* N N)) (/ -1/2 N)) 1) (- (/ 1 N) (/ -1/2 (* N N))))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) (- (/ 1 N) (/ -1/2 (* N N)))) (* (- (/ 1 N) (/ -1/2 (* N N))) (* N N)))) N))) 14.631 * * * * [progress]: [ 63 / 130 ] simplifiying candidate # 14.631 * [simplify]: Simplifying (/ (* (* (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))))) (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))))) (* (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (- (/ 1 N) (/ -1/2 (* N N))) N)) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 14.631 * * [simplify]: iters left: 6 (20 enodes) 14.638 * * [simplify]: iters left: 5 (112 enodes) 14.670 * * [simplify]: Extracting #0: cost 1 inf + 0 14.670 * * [simplify]: Extracting #1: cost 42 inf + 0 14.674 * * [simplify]: Extracting #2: cost 183 inf + 1 14.675 * * [simplify]: Extracting #3: cost 237 inf + 43 14.677 * * [simplify]: Extracting #4: cost 225 inf + 3144 14.682 * * [simplify]: Extracting #5: cost 176 inf + 13304 14.696 * * [simplify]: Extracting #6: cost 110 inf + 35761 14.730 * * [simplify]: Extracting #7: cost 21 inf + 74081 14.762 * * [simplify]: Extracting #8: cost 0 inf + 84605 14.783 * [simplify]: Simplified to (* (/ (+ (+ 1 (/ 1/3 (* N N))) (/ -1/2 N)) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) N) (- (/ 1 N) (/ -1/2 (* N N))))) (* (/ (+ (+ 1 (/ 1/3 (* N N))) (/ -1/2 N)) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) N) (- (/ 1 N) (/ -1/2 (* N N))))) (/ (+ (+ 1 (/ 1/3 (* N N))) (/ -1/2 N)) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) N) (- (/ 1 N) (/ -1/2 (* N N))))))) 14.783 * [simplify]: Simplified (2 1) to (λ (N) (cbrt (* (/ (+ (+ 1 (/ 1/3 (* N N))) (/ -1/2 N)) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) N) (- (/ 1 N) (/ -1/2 (* N N))))) (* (/ (+ (+ 1 (/ 1/3 (* N N))) (/ -1/2 N)) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) N) (- (/ 1 N) (/ -1/2 (* N N))))) (/ (+ (+ 1 (/ 1/3 (* N N))) (/ -1/2 N)) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) N) (- (/ 1 N) (/ -1/2 (* N N))))))))) 14.783 * * * * [progress]: [ 64 / 130 ] simplifiying candidate # 14.783 * * * * [progress]: [ 65 / 130 ] simplifiying candidate # 14.783 * * * * [progress]: [ 66 / 130 ] simplifiying candidate # 14.783 * * * * [progress]: [ 67 / 130 ] simplifiying candidate # 14.783 * * * * [progress]: [ 68 / 130 ] simplifiying candidate # 14.783 * [simplify]: Simplifying (/ (- (/ 1 N) (/ -1/2 (* N N))) (- (/ 1 N) (/ -1/2 (* N N)))) 14.783 * * [simplify]: iters left: 6 (8 enodes) 14.786 * * [simplify]: iters left: 5 (31 enodes) 14.796 * * [simplify]: iters left: 4 (52 enodes) 14.812 * * [simplify]: iters left: 3 (70 enodes) 14.827 * * [simplify]: iters left: 2 (94 enodes) 14.842 * * [simplify]: iters left: 1 (147 enodes) 14.893 * * [simplify]: Extracting #0: cost 1 inf + 0 14.893 * * [simplify]: Extracting #1: cost 0 inf + 1 14.893 * [simplify]: Simplified to 1 14.893 * [simplify]: Simplified (2 1) to (λ (N) (* 1 (/ (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))) N))) 14.894 * [simplify]: Simplifying (/ (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))) N) 14.894 * * [simplify]: iters left: 6 (11 enodes) 14.901 * * [simplify]: iters left: 5 (49 enodes) 14.920 * * [simplify]: iters left: 4 (78 enodes) 14.945 * * [simplify]: iters left: 3 (118 enodes) 14.971 * * [simplify]: iters left: 2 (172 enodes) 15.024 * * [simplify]: iters left: 1 (265 enodes) 15.152 * * [simplify]: Extracting #0: cost 1 inf + 0 15.152 * * [simplify]: Extracting #1: cost 4 inf + 0 15.152 * * [simplify]: Extracting #2: cost 11 inf + 1 15.152 * * [simplify]: Extracting #3: cost 47 inf + 2 15.153 * * [simplify]: Extracting #4: cost 65 inf + 1113 15.157 * * [simplify]: Extracting #5: cost 13 inf + 6714 15.163 * * [simplify]: Extracting #6: cost 1 inf + 8348 15.168 * * [simplify]: Extracting #7: cost 0 inf + 8560 15.173 * [simplify]: Simplified to (/ (+ 1 (+ (/ (/ 1/3 N) N) (/ -1/2 N))) N) 15.173 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (/ (+ 1 (+ (/ (/ 1/3 N) N) (/ -1/2 N))) N))) 15.173 * * * * [progress]: [ 69 / 130 ] simplifiying candidate # 15.173 * * * * [progress]: [ 70 / 130 ] simplifiying candidate # 15.173 * * * * [progress]: [ 71 / 130 ] simplifiying candidate # 15.173 * * * * [progress]: [ 72 / 130 ] simplifiying candidate # 15.173 * * * * [progress]: [ 73 / 130 ] simplifiying candidate # 15.174 * [simplify]: Simplifying (- (/ 1 N) (/ -1/2 (* N N))) 15.174 * * [simplify]: iters left: 6 (7 enodes) 15.176 * * [simplify]: iters left: 5 (27 enodes) 15.181 * * [simplify]: iters left: 4 (39 enodes) 15.187 * * [simplify]: iters left: 3 (44 enodes) 15.193 * * [simplify]: Extracting #0: cost 1 inf + 0 15.193 * * [simplify]: Extracting #1: cost 5 inf + 0 15.193 * * [simplify]: Extracting #2: cost 15 inf + 0 15.194 * * [simplify]: Extracting #3: cost 13 inf + 46 15.194 * * [simplify]: Extracting #4: cost 6 inf + 419 15.194 * * [simplify]: Extracting #5: cost 0 inf + 992 15.194 * [simplify]: Simplified to (+ (/ 1 N) (/ (/ 1/2 N) N)) 15.194 * [simplify]: Simplified (2 1) to (λ (N) (/ (+ (/ 1 N) (/ (/ 1/2 N) N)) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) N) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))))) 15.194 * * * * [progress]: [ 74 / 130 ] simplifiying candidate # 15.195 * [simplify]: Simplifying (* N (* N N)) 15.195 * * [simplify]: iters left: 4 (3 enodes) 15.195 * * [simplify]: iters left: 3 (12 enodes) 15.198 * * [simplify]: iters left: 2 (19 enodes) 15.202 * * [simplify]: iters left: 1 (33 enodes) 15.212 * * [simplify]: Extracting #0: cost 1 inf + 0 15.212 * * [simplify]: Extracting #1: cost 10 inf + 0 15.212 * * [simplify]: Extracting #2: cost 14 inf + 2 15.212 * * [simplify]: Extracting #3: cost 8 inf + 893 15.212 * * [simplify]: Extracting #4: cost 1 inf + 2275 15.213 * * [simplify]: Extracting #5: cost 0 inf + 2487 15.213 * [simplify]: Simplified to (* N (* N N)) 15.213 * [simplify]: Simplified (2 2) to (λ (N) (* (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (* 1 (* N N)) (* N -1/2)) N)) (* N (* N N)))) 15.214 * * * * [progress]: [ 75 / 130 ] simplifiying candidate # 15.214 * [simplify]: Simplifying (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) 15.214 * * [simplify]: iters left: 6 (11 enodes) 15.221 * * [simplify]: iters left: 5 (56 enodes) 15.244 * * [simplify]: iters left: 4 (127 enodes) 15.276 * * [simplify]: iters left: 3 (251 enodes) 15.423 * * [simplify]: iters left: 2 (448 enodes) 15.733 * * [simplify]: Extracting #0: cost 1 inf + 0 15.733 * * [simplify]: Extracting #1: cost 14 inf + 0 15.733 * * [simplify]: Extracting #2: cost 71 inf + 2 15.736 * * [simplify]: Extracting #3: cost 81 inf + 2616 15.744 * * [simplify]: Extracting #4: cost 12 inf + 12176 15.756 * * [simplify]: Extracting #5: cost 0 inf + 13482 15.768 * [simplify]: Simplified to (+ (/ (+ (/ -1/2 N) 1) (* N N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) 15.768 * [simplify]: Simplified (2 2) to (λ (N) (* (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) N)) (+ (/ (+ (/ -1/2 N) 1) (* N N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))))) 15.768 * * * * [progress]: [ 76 / 130 ] simplifiying candidate # 15.769 * [simplify]: Simplifying (+ (/ 1 N) (/ -1/2 (* N N))) 15.769 * * [simplify]: iters left: 6 (7 enodes) 15.773 * * [simplify]: iters left: 5 (26 enodes) 15.781 * * [simplify]: iters left: 4 (30 enodes) 15.790 * * [simplify]: Extracting #0: cost 1 inf + 0 15.790 * * [simplify]: Extracting #1: cost 4 inf + 0 15.790 * * [simplify]: Extracting #2: cost 11 inf + 0 15.791 * * [simplify]: Extracting #3: cost 9 inf + 44 15.791 * * [simplify]: Extracting #4: cost 3 inf + 335 15.791 * * [simplify]: Extracting #5: cost 1 inf + 580 15.792 * * [simplify]: Extracting #6: cost 0 inf + 743 15.792 * [simplify]: Simplified to (+ (/ -1/2 (* N N)) (/ 1 N)) 15.792 * [simplify]: Simplified (2 2) to (λ (N) (* (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) N)) (+ (/ -1/2 (* N N)) (/ 1 N)))) 15.792 * * * * [progress]: [ 77 / 130 ] simplifiying candidate # 15.793 * [simplify]: Simplifying (* (- (* 1 (* N N)) (* N -1/2)) (+ (* 1/3 (+ (* 1 1) (- (* (/ (* -1/2 N) (* N N)) (/ (* -1/2 N) (* N N))) (* 1 (/ (* -1/2 N) (* N N)))))) (* (* N N) (+ (pow 1 3) (pow (/ (* -1/2 N) (* N N)) 3))))) 15.793 * * [simplify]: iters left: 6 (23 enodes) 15.809 * * [simplify]: iters left: 5 (124 enodes) 15.892 * * [simplify]: Extracting #0: cost 1 inf + 0 15.892 * * [simplify]: Extracting #1: cost 10 inf + 0 15.892 * * [simplify]: Extracting #2: cost 54 inf + 0 15.893 * * [simplify]: Extracting #3: cost 94 inf + 2 15.894 * * [simplify]: Extracting #4: cost 137 inf + 1193 15.899 * * [simplify]: Extracting #5: cost 78 inf + 11783 15.909 * * [simplify]: Extracting #6: cost 15 inf + 24847 15.923 * * [simplify]: Extracting #7: cost 1 inf + 28703 15.937 * * [simplify]: Extracting #8: cost 0 inf + 28825 15.948 * [simplify]: Simplified to (* (* N (- N -1/2)) (+ (+ 1/3 (* 1/3 (- (* (/ -1/2 N) (/ -1/2 N)) (/ -1/2 N)))) (+ (* N N) (* (* (* N N) (/ -1/2 N)) (* (/ -1/2 N) (/ -1/2 N)))))) 15.949 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (* N (- N -1/2)) (+ (+ 1/3 (* 1/3 (- (* (/ -1/2 N) (/ -1/2 N)) (/ -1/2 N)))) (+ (* N N) (* (* (* N N) (/ -1/2 N)) (* (/ -1/2 N) (/ -1/2 N)))))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (* N (* N N)) (* (* N N) (+ (* 1 1) (- (* (/ (* -1/2 N) (* N N)) (/ (* -1/2 N) (* N N))) (* 1 (/ (* -1/2 N) (* N N)))))))))) 15.949 * * * * [progress]: [ 78 / 130 ] simplifiying candidate # 15.949 * [simplify]: Simplifying (* (- (* 1 (* N N)) (* N -1/2)) (+ (* 1/3 (- 1 (/ (* -1/2 N) (* N N)))) (* (* N N) (- (* 1 1) (* (/ (* -1/2 N) (* N N)) (/ (* -1/2 N) (* N N))))))) 15.949 * * [simplify]: iters left: 6 (18 enodes) 15.955 * * [simplify]: iters left: 5 (83 enodes) 15.983 * * [simplify]: iters left: 4 (273 enodes) 16.178 * * [simplify]: Extracting #0: cost 1 inf + 0 16.178 * * [simplify]: Extracting #1: cost 20 inf + 0 16.179 * * [simplify]: Extracting #2: cost 109 inf + 1 16.180 * * [simplify]: Extracting #3: cost 141 inf + 292 16.182 * * [simplify]: Extracting #4: cost 167 inf + 2806 16.189 * * [simplify]: Extracting #5: cost 100 inf + 16878 16.205 * * [simplify]: Extracting #6: cost 4 inf + 34024 16.224 * * [simplify]: Extracting #7: cost 0 inf + 35093 16.242 * * [simplify]: Extracting #8: cost 0 inf + 35090 16.265 * [simplify]: Simplified to (* N (* (- N -1/2) (+ (+ (* (/ 1/2 N) 1/3) 1/3) (+ (* (/ -1/4 (* N N)) (* N N)) (* N N))))) 16.265 * [simplify]: Simplified (2 1) to (λ (N) (/ (* N (* (- N -1/2) (+ (+ (* (/ 1/2 N) 1/3) 1/3) (+ (* (/ -1/4 (* N N)) (* N N)) (* N N))))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (* N (* N N)) (* (* N N) (- 1 (/ (* -1/2 N) (* N N)))))))) 16.266 * * * * [progress]: [ 79 / 130 ] simplifiying candidate # 16.266 * [simplify]: Simplifying (* (- (* 1 (* N N)) (* N -1/2)) (+ (pow (/ 1/3 (* N N)) 3) (pow (+ 1 (/ (* -1/2 N) (* N N))) 3))) 16.266 * * [simplify]: iters left: 6 (17 enodes) 16.278 * * [simplify]: iters left: 5 (90 enodes) 16.322 * * [simplify]: iters left: 4 (263 enodes) 16.424 * * [simplify]: Extracting #0: cost 1 inf + 0 16.424 * * [simplify]: Extracting #1: cost 20 inf + 0 16.424 * * [simplify]: Extracting #2: cost 163 inf + 1 16.426 * * [simplify]: Extracting #3: cost 295 inf + 453 16.433 * * [simplify]: Extracting #4: cost 260 inf + 16568 16.451 * * [simplify]: Extracting #5: cost 57 inf + 56674 16.471 * * [simplify]: Extracting #6: cost 1 inf + 74253 16.498 * * [simplify]: Extracting #7: cost 0 inf + 74430 16.518 * [simplify]: Simplified to (* (+ (/ (/ 1/27 (* (* N N) N)) (* (* N N) N)) (* (+ 1 (/ -1/2 N)) (* (+ 1 (/ -1/2 N)) (+ 1 (/ -1/2 N))))) (* (- N -1/2) N)) 16.519 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (+ (/ (/ 1/27 (* (* N N) N)) (* (* N N) N)) (* (+ 1 (/ -1/2 N)) (* (+ 1 (/ -1/2 N)) (+ 1 (/ -1/2 N))))) (* (- N -1/2) N)) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (* N (* N N)) (+ (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (- (* (+ 1 (/ (* -1/2 N) (* N N))) (+ 1 (/ (* -1/2 N) (* N N)))) (* (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))))))))) 16.519 * * * * [progress]: [ 80 / 130 ] simplifiying candidate # 16.519 * [simplify]: Simplifying (* (- (* 1 (* N N)) (* N -1/2)) (- (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (+ 1 (/ (* -1/2 N) (* N N))) (+ 1 (/ (* -1/2 N) (* N N)))))) 16.519 * * [simplify]: iters left: 6 (16 enodes) 16.524 * * [simplify]: iters left: 5 (78 enodes) 16.552 * * [simplify]: iters left: 4 (237 enodes) 16.654 * * [simplify]: Extracting #0: cost 1 inf + 0 16.654 * * [simplify]: Extracting #1: cost 18 inf + 0 16.654 * * [simplify]: Extracting #2: cost 132 inf + 0 16.655 * * [simplify]: Extracting #3: cost 185 inf + 172 16.656 * * [simplify]: Extracting #4: cost 156 inf + 7473 16.664 * * [simplify]: Extracting #5: cost 16 inf + 34341 16.674 * * [simplify]: Extracting #6: cost 0 inf + 37780 16.692 * * [simplify]: Extracting #7: cost 0 inf + 37617 16.715 * [simplify]: Simplified to (* (- (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (+ 1 (/ -1/2 N)) (+ 1 (/ -1/2 N)))) (* (- N -1/2) N)) 16.715 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (- (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (+ 1 (/ -1/2 N)) (+ 1 (/ -1/2 N)))) (* (- N -1/2) N)) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (* N (* N N)) (- (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))))))) 16.715 * * * * [progress]: [ 81 / 130 ] simplifiying candidate # 16.716 * [simplify]: Simplifying (* (- (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) (+ (* 1/3 (+ (* 1 1) (- (* (/ (* -1/2 N) (* N N)) (/ (* -1/2 N) (* N N))) (* 1 (/ (* -1/2 N) (* N N)))))) (* (* N N) (+ (pow 1 3) (pow (/ (* -1/2 N) (* N N)) 3))))) 16.716 * * [simplify]: iters left: 6 (25 enodes) 16.734 * * [simplify]: iters left: 5 (147 enodes) 16.807 * * [simplify]: Extracting #0: cost 1 inf + 0 16.807 * * [simplify]: Extracting #1: cost 10 inf + 0 16.807 * * [simplify]: Extracting #2: cost 57 inf + 0 16.808 * * [simplify]: Extracting #3: cost 107 inf + 2 16.808 * * [simplify]: Extracting #4: cost 159 inf + 547 16.809 * * [simplify]: Extracting #5: cost 138 inf + 4550 16.817 * * [simplify]: Extracting #6: cost 42 inf + 24705 16.831 * * [simplify]: Extracting #7: cost 4 inf + 37231 16.847 * * [simplify]: Extracting #8: cost 0 inf + 38807 16.856 * [simplify]: Simplified to (* (+ (+ (+ (* N N) (* (* N N) (/ -1/8 (* (* N N) N)))) 1/3) (* (- (* (/ -1/2 N) (/ -1/2 N)) (/ -1/2 N)) 1/3)) (- (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (/ -1/8 (* (* (* N N) (* N N)) (* N N))))) 16.856 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (+ (+ (+ (* N N) (* (* N N) (/ -1/8 (* (* N N) N)))) 1/3) (* (- (* (/ -1/2 N) (/ -1/2 N)) (/ -1/2 N)) 1/3)) (- (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (/ -1/8 (* (* (* N N) (* N N)) (* N N))))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) (* (* N N) (+ (* 1 1) (- (* (/ (* -1/2 N) (* N N)) (/ (* -1/2 N) (* N N))) (* 1 (/ (* -1/2 N) (* N N)))))))))) 16.857 * * * * [progress]: [ 82 / 130 ] simplifiying candidate # 16.857 * [simplify]: Simplifying (* (- (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) (+ (* 1/3 (- 1 (/ (* -1/2 N) (* N N)))) (* (* N N) (- (* 1 1) (* (/ (* -1/2 N) (* N N)) (/ (* -1/2 N) (* N N))))))) 16.857 * * [simplify]: iters left: 6 (21 enodes) 16.864 * * [simplify]: iters left: 5 (114 enodes) 16.902 * * [simplify]: iters left: 4 (357 enodes) 17.083 * * [simplify]: Extracting #0: cost 1 inf + 0 17.083 * * [simplify]: Extracting #1: cost 20 inf + 0 17.084 * * [simplify]: Extracting #2: cost 173 inf + 0 17.086 * * [simplify]: Extracting #3: cost 290 inf + 43 17.095 * * [simplify]: Extracting #4: cost 348 inf + 6143 17.115 * * [simplify]: Extracting #5: cost 135 inf + 53670 17.152 * * [simplify]: Extracting #6: cost 20 inf + 92169 17.194 * * [simplify]: Extracting #7: cost 0 inf + 101141 17.217 * * [simplify]: Extracting #8: cost 0 inf + 101140 17.241 * [simplify]: Simplified to (* (+ (+ (* N N) (* (/ -1/4 (* N N)) (* N N))) (+ (* (/ 1/2 N) 1/3) 1/3)) (- (/ (/ 1 N) (* N N)) (/ -1/8 (* (* (* N N) N) (* (* N N) N))))) 17.241 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (+ (+ (* N N) (* (/ -1/4 (* N N)) (* N N))) (+ (* (/ 1/2 N) 1/3) 1/3)) (- (/ (/ 1 N) (* N N)) (/ -1/8 (* (* (* N N) N) (* (* N N) N))))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) (* (* N N) (- 1 (/ (* -1/2 N) (* N N)))))))) 17.241 * * * * [progress]: [ 83 / 130 ] simplifiying candidate # 17.241 * [simplify]: Simplifying (* (- (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) (+ (pow (/ 1/3 (* N N)) 3) (pow (+ 1 (/ (* -1/2 N) (* N N))) 3))) 17.242 * * [simplify]: iters left: 6 (19 enodes) 17.249 * * [simplify]: iters left: 5 (114 enodes) 17.279 * * [simplify]: iters left: 4 (328 enodes) 17.459 * * [simplify]: Extracting #0: cost 1 inf + 0 17.459 * * [simplify]: Extracting #1: cost 20 inf + 0 17.460 * * [simplify]: Extracting #2: cost 206 inf + 0 17.462 * * [simplify]: Extracting #3: cost 378 inf + 42 17.470 * * [simplify]: Extracting #4: cost 357 inf + 25898 17.490 * * [simplify]: Extracting #5: cost 59 inf + 124762 17.533 * * [simplify]: Extracting #6: cost 0 inf + 140288 17.593 * * [simplify]: Extracting #7: cost 0 inf + 138419 17.649 * [simplify]: Simplified to (+ (/ (* (+ (/ 1/8 (* (* (* N N) (* N N)) (* N N))) (/ (/ 1 N) (* N N))) 1/27) (* (* (* N N) (* N N)) (* N N))) (* (* (+ (/ 1/8 (* (* (* N N) (* N N)) (* N N))) (/ (/ 1 N) (* N N))) (+ (/ -1/2 N) 1)) (* (+ (/ -1/2 N) 1) (+ (/ -1/2 N) 1)))) 17.649 * [simplify]: Simplified (2 1) to (λ (N) (/ (+ (/ (* (+ (/ 1/8 (* (* (* N N) (* N N)) (* N N))) (/ (/ 1 N) (* N N))) 1/27) (* (* (* N N) (* N N)) (* N N))) (* (* (+ (/ 1/8 (* (* (* N N) (* N N)) (* N N))) (/ (/ 1 N) (* N N))) (+ (/ -1/2 N) 1)) (* (+ (/ -1/2 N) 1) (+ (/ -1/2 N) 1)))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) (+ (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (- (* (+ 1 (/ (* -1/2 N) (* N N))) (+ 1 (/ (* -1/2 N) (* N N)))) (* (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))))))))) 17.649 * * * * [progress]: [ 84 / 130 ] simplifiying candidate # 17.650 * [simplify]: Simplifying (* (- (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) (- (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (+ 1 (/ (* -1/2 N) (* N N))) (+ 1 (/ (* -1/2 N) (* N N)))))) 17.650 * * [simplify]: iters left: 6 (19 enodes) 17.659 * * [simplify]: iters left: 5 (109 enodes) 17.692 * * [simplify]: iters left: 4 (312 enodes) 17.872 * * [simplify]: Extracting #0: cost 1 inf + 0 17.872 * * [simplify]: Extracting #1: cost 18 inf + 0 17.872 * * [simplify]: Extracting #2: cost 151 inf + 0 17.874 * * [simplify]: Extracting #3: cost 274 inf + 290 17.878 * * [simplify]: Extracting #4: cost 295 inf + 7762 17.886 * * [simplify]: Extracting #5: cost 133 inf + 41561 17.907 * * [simplify]: Extracting #6: cost 7 inf + 81621 17.943 * * [simplify]: Extracting #7: cost 0 inf + 84080 17.975 * * [simplify]: Extracting #8: cost 0 inf + 84039 17.998 * [simplify]: Simplified to (+ (* (/ 1/8 (* (* (* N N) N) (* (* N N) N))) (- (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (+ 1 (/ -1/2 N)) (+ 1 (/ -1/2 N))))) (/ (* 1 (- (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (+ 1 (/ -1/2 N)) (+ 1 (/ -1/2 N))))) (* (* N N) N))) 17.998 * [simplify]: Simplified (2 1) to (λ (N) (/ (+ (* (/ 1/8 (* (* (* N N) N) (* (* N N) N))) (- (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (+ 1 (/ -1/2 N)) (+ 1 (/ -1/2 N))))) (/ (* 1 (- (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (+ 1 (/ -1/2 N)) (+ 1 (/ -1/2 N))))) (* (* N N) N))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) (- (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))))))) 17.998 * * * * [progress]: [ 85 / 130 ] simplifiying candidate # 17.999 * [simplify]: Simplifying (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (+ (* 1/3 (+ (* 1 1) (- (* (/ (* -1/2 N) (* N N)) (/ (* -1/2 N) (* N N))) (* 1 (/ (* -1/2 N) (* N N)))))) (* (* N N) (+ (pow 1 3) (pow (/ (* -1/2 N) (* N N)) 3))))) 17.999 * * [simplify]: iters left: 6 (25 enodes) 18.016 * * [simplify]: iters left: 5 (143 enodes) 18.090 * * [simplify]: Extracting #0: cost 1 inf + 0 18.090 * * [simplify]: Extracting #1: cost 14 inf + 0 18.091 * * [simplify]: Extracting #2: cost 68 inf + 0 18.091 * * [simplify]: Extracting #3: cost 111 inf + 2 18.092 * * [simplify]: Extracting #4: cost 142 inf + 1190 18.096 * * [simplify]: Extracting #5: cost 102 inf + 9137 18.104 * * [simplify]: Extracting #6: cost 50 inf + 19241 18.118 * * [simplify]: Extracting #7: cost 12 inf + 30226 18.134 * * [simplify]: Extracting #8: cost 0 inf + 35388 18.150 * * [simplify]: Extracting #9: cost 0 inf + 35348 18.166 * [simplify]: Simplified to (* (- (/ (/ 1 N) N) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (+ (+ (* 1/3 (- (* (/ -1/2 N) (/ -1/2 N)) (/ -1/2 N))) 1/3) (+ (* N N) (* (* (/ -1/2 N) (/ -1/2 N)) (* (/ -1/2 N) (* N N)))))) 18.166 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (- (/ (/ 1 N) N) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (+ (+ (* 1/3 (- (* (/ -1/2 N) (/ -1/2 N)) (/ -1/2 N))) 1/3) (+ (* N N) (* (* (/ -1/2 N) (/ -1/2 N)) (* (/ -1/2 N) (* N N)))))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (+ (/ 1 N) (/ -1/2 (* N N))) (* (* N N) (+ (* 1 1) (- (* (/ (* -1/2 N) (* N N)) (/ (* -1/2 N) (* N N))) (* 1 (/ (* -1/2 N) (* N N)))))))))) 18.166 * * * * [progress]: [ 86 / 130 ] simplifiying candidate # 18.167 * [simplify]: Simplifying (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (+ (* 1/3 (- 1 (/ (* -1/2 N) (* N N)))) (* (* N N) (- (* 1 1) (* (/ (* -1/2 N) (* N N)) (/ (* -1/2 N) (* N N))))))) 18.167 * * [simplify]: iters left: 6 (20 enodes) 18.175 * * [simplify]: iters left: 5 (102 enodes) 18.210 * * [simplify]: iters left: 4 (315 enodes) 18.341 * * [simplify]: Extracting #0: cost 1 inf + 0 18.341 * * [simplify]: Extracting #1: cost 26 inf + 0 18.341 * * [simplify]: Extracting #2: cost 160 inf + 0 18.343 * * [simplify]: Extracting #3: cost 256 inf + 43 18.347 * * [simplify]: Extracting #4: cost 271 inf + 7406 18.364 * * [simplify]: Extracting #5: cost 93 inf + 42115 18.400 * * [simplify]: Extracting #6: cost 6 inf + 64566 18.434 * * [simplify]: Extracting #7: cost 0 inf + 66389 18.467 * [simplify]: Simplified to (+ (* (+ (+ (* (* N N) (/ -1/4 (* N N))) (* N N)) (+ 1/3 (/ 1/6 N))) (/ (/ -1/4 (* N N)) (* N N))) (/ (* (+ (+ (* (* N N) (/ -1/4 (* N N))) (* N N)) (+ 1/3 (/ 1/6 N))) 1) (* N N))) 18.467 * [simplify]: Simplified (2 1) to (λ (N) (/ (+ (* (+ (+ (* (* N N) (/ -1/4 (* N N))) (* N N)) (+ 1/3 (/ 1/6 N))) (/ (/ -1/4 (* N N)) (* N N))) (/ (* (+ (+ (* (* N N) (/ -1/4 (* N N))) (* N N)) (+ 1/3 (/ 1/6 N))) 1) (* N N))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (+ (/ 1 N) (/ -1/2 (* N N))) (* (* N N) (- 1 (/ (* -1/2 N) (* N N)))))))) 18.467 * * * * [progress]: [ 87 / 130 ] simplifiying candidate # 18.468 * [simplify]: Simplifying (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (+ (pow (/ 1/3 (* N N)) 3) (pow (+ 1 (/ (* -1/2 N) (* N N))) 3))) 18.468 * * [simplify]: iters left: 6 (19 enodes) 18.475 * * [simplify]: iters left: 5 (109 enodes) 18.502 * * [simplify]: iters left: 4 (308 enodes) 18.685 * * [simplify]: Extracting #0: cost 1 inf + 0 18.685 * * [simplify]: Extracting #1: cost 26 inf + 0 18.686 * * [simplify]: Extracting #2: cost 202 inf + 0 18.687 * * [simplify]: Extracting #3: cost 389 inf + 42 18.690 * * [simplify]: Extracting #4: cost 401 inf + 12181 18.714 * * [simplify]: Extracting #5: cost 123 inf + 82966 18.754 * * [simplify]: Extracting #6: cost 5 inf + 122235 18.810 * * [simplify]: Extracting #7: cost 0 inf + 121673 18.843 * * [simplify]: Extracting #8: cost 0 inf + 121555 18.898 * [simplify]: Simplified to (* (- (/ (/ 1 N) N) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (+ (* (+ 1 (/ -1/2 N)) (* (+ 1 (/ -1/2 N)) (+ 1 (/ -1/2 N)))) (* (/ 1/3 (* N N)) (* (/ 1/3 (* N N)) (/ 1/3 (* N N)))))) 18.898 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (- (/ (/ 1 N) N) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (+ (* (+ 1 (/ -1/2 N)) (* (+ 1 (/ -1/2 N)) (+ 1 (/ -1/2 N)))) (* (/ 1/3 (* N N)) (* (/ 1/3 (* N N)) (/ 1/3 (* N N)))))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (- (* (+ 1 (/ (* -1/2 N) (* N N))) (+ 1 (/ (* -1/2 N) (* N N)))) (* (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))))))))) 18.899 * * * * [progress]: [ 88 / 130 ] simplifiying candidate # 18.899 * [simplify]: Simplifying (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (- (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (+ 1 (/ (* -1/2 N) (* N N))) (+ 1 (/ (* -1/2 N) (* N N)))))) 18.900 * * [simplify]: iters left: 6 (18 enodes) 18.910 * * [simplify]: iters left: 5 (97 enodes) 18.948 * * [simplify]: iters left: 4 (262 enodes) 19.055 * * [simplify]: Extracting #0: cost 1 inf + 0 19.055 * * [simplify]: Extracting #1: cost 24 inf + 0 19.056 * * [simplify]: Extracting #2: cost 158 inf + 0 19.057 * * [simplify]: Extracting #3: cost 243 inf + 168 19.061 * * [simplify]: Extracting #4: cost 241 inf + 4938 19.075 * * [simplify]: Extracting #5: cost 80 inf + 37488 19.103 * * [simplify]: Extracting #6: cost 5 inf + 58325 19.137 * * [simplify]: Extracting #7: cost 0 inf + 60229 19.167 * * [simplify]: Extracting #8: cost 0 inf + 60190 19.197 * [simplify]: Simplified to (* (- (/ (/ 1 N) N) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (- (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (+ (/ -1/2 N) 1) (+ (/ -1/2 N) 1)))) 19.197 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (- (/ (/ 1 N) N) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (- (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (+ (/ -1/2 N) 1) (+ (/ -1/2 N) 1)))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (+ (/ 1 N) (/ -1/2 (* N N))) (- (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N)))))))) 19.197 * * * * [progress]: [ 89 / 130 ] simplifiying candidate # 19.198 * [simplify]: Simplifying (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (* 1/3 (+ (* 1 1) (- (* (/ (* -1/2 N) (* N N)) (/ (* -1/2 N) (* N N))) (* 1 (/ (* -1/2 N) (* N N)))))) (* (* N N) (+ (pow 1 3) (pow (/ (* -1/2 N) (* N N)) 3))))) 19.198 * * [simplify]: iters left: 6 (23 enodes) 19.213 * * [simplify]: iters left: 5 (126 enodes) 19.278 * * [simplify]: iters left: 4 (458 enodes) 19.790 * * [simplify]: Extracting #0: cost 1 inf + 0 19.791 * * [simplify]: Extracting #1: cost 28 inf + 0 19.791 * * [simplify]: Extracting #2: cost 197 inf + 0 19.795 * * [simplify]: Extracting #3: cost 428 inf + 661 19.808 * * [simplify]: Extracting #4: cost 300 inf + 33200 19.833 * * [simplify]: Extracting #5: cost 34 inf + 91022 19.858 * * [simplify]: Extracting #6: cost 2 inf + 95594 19.885 * * [simplify]: Extracting #7: cost 0 inf + 95126 19.910 * [simplify]: Simplified to (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (+ 1/3 (* (/ -1/2 N) (* (+ (/ -1/2 N) -1) 1/3))) (+ (/ -1/8 N) (* N N)))) 19.910 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (+ 1/3 (* (/ -1/2 N) (* (+ (/ -1/2 N) -1) 1/3))) (+ (/ -1/8 N) (* N N)))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (* N N) (+ (* 1 1) (- (* (/ (* -1/2 N) (* N N)) (/ (* -1/2 N) (* N N))) (* 1 (/ (* -1/2 N) (* N N))))))))) 19.911 * * * * [progress]: [ 90 / 130 ] simplifiying candidate # 19.911 * [simplify]: Simplifying (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (* 1/3 (- 1 (/ (* -1/2 N) (* N N)))) (* (* N N) (- (* 1 1) (* (/ (* -1/2 N) (* N N)) (/ (* -1/2 N) (* N N))))))) 19.911 * * [simplify]: iters left: 6 (18 enodes) 19.917 * * [simplify]: iters left: 5 (85 enodes) 19.940 * * [simplify]: iters left: 4 (249 enodes) 20.067 * * [simplify]: Extracting #0: cost 1 inf + 0 20.067 * * [simplify]: Extracting #1: cost 16 inf + 0 20.067 * * [simplify]: Extracting #2: cost 97 inf + 0 20.068 * * [simplify]: Extracting #3: cost 133 inf + 43 20.068 * * [simplify]: Extracting #4: cost 182 inf + 1233 20.075 * * [simplify]: Extracting #5: cost 100 inf + 14847 20.084 * * [simplify]: Extracting #6: cost 4 inf + 35735 20.102 * * [simplify]: Extracting #7: cost 0 inf + 36390 20.122 * * [simplify]: Extracting #8: cost 0 inf + 35591 20.138 * * [simplify]: Extracting #9: cost 0 inf + 35472 20.148 * [simplify]: Simplified to (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (+ 1/3 (* 1/3 (/ 1/2 N))) (+ (* (* N N) (/ -1/4 (* N N))) (* N N)))) 20.148 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (+ 1/3 (* 1/3 (/ 1/2 N))) (+ (* (* N N) (/ -1/4 (* N N))) (* N N)))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* (* N N) (- 1 (/ (* -1/2 N) (* N N))))))) 20.148 * * * * [progress]: [ 91 / 130 ] simplifiying candidate # 20.149 * [simplify]: Simplifying (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (pow (/ 1/3 (* N N)) 3) (pow (+ 1 (/ (* -1/2 N) (* N N))) 3))) 20.149 * * [simplify]: iters left: 6 (17 enodes) 20.155 * * [simplify]: iters left: 5 (92 enodes) 20.189 * * [simplify]: iters left: 4 (244 enodes) 20.287 * * [simplify]: Extracting #0: cost 1 inf + 0 20.287 * * [simplify]: Extracting #1: cost 16 inf + 0 20.287 * * [simplify]: Extracting #2: cost 145 inf + 0 20.288 * * [simplify]: Extracting #3: cost 272 inf + 42 20.290 * * [simplify]: Extracting #4: cost 293 inf + 6741 20.297 * * [simplify]: Extracting #5: cost 140 inf + 37921 20.312 * * [simplify]: Extracting #6: cost 13 inf + 72291 20.341 * * [simplify]: Extracting #7: cost 0 inf + 75373 20.361 * * [simplify]: Extracting #8: cost 0 inf + 75333 20.380 * [simplify]: Simplified to (* (+ (/ (/ 1/27 (* (* N N) (* N N))) (* N N)) (* (+ 1 (/ -1/2 N)) (* (+ 1 (/ -1/2 N)) (+ 1 (/ -1/2 N))))) (- (/ 1 N) (/ -1/2 (* N N)))) 20.380 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (+ (/ (/ 1/27 (* (* N N) (* N N))) (* N N)) (* (+ 1 (/ -1/2 N)) (* (+ 1 (/ -1/2 N)) (+ 1 (/ -1/2 N))))) (- (/ 1 N) (/ -1/2 (* N N)))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (+ (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (- (* (+ 1 (/ (* -1/2 N) (* N N))) (+ 1 (/ (* -1/2 N) (* N N)))) (* (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))))))) 20.380 * * * * [progress]: [ 92 / 130 ] simplifiying candidate # 20.381 * [simplify]: Simplifying (* (- (/ 1 N) (/ -1/2 (* N N))) (- (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (+ 1 (/ (* -1/2 N) (* N N))) (+ 1 (/ (* -1/2 N) (* N N)))))) 20.381 * * [simplify]: iters left: 6 (16 enodes) 20.393 * * [simplify]: iters left: 5 (80 enodes) 20.431 * * [simplify]: iters left: 4 (207 enodes) 20.500 * * [simplify]: Extracting #0: cost 1 inf + 0 20.500 * * [simplify]: Extracting #1: cost 16 inf + 0 20.500 * * [simplify]: Extracting #2: cost 122 inf + 0 20.501 * * [simplify]: Extracting #3: cost 183 inf + 86 20.502 * * [simplify]: Extracting #4: cost 168 inf + 4941 20.506 * * [simplify]: Extracting #5: cost 82 inf + 19304 20.515 * * [simplify]: Extracting #6: cost 7 inf + 37895 20.526 * * [simplify]: Extracting #7: cost 0 inf + 39839 20.546 * [simplify]: Simplified to (* (- (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (+ (/ -1/2 N) 1) (+ (/ -1/2 N) 1))) (- (/ 1 N) (/ -1/2 (* N N)))) 20.546 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (- (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (+ (/ -1/2 N) 1) (+ (/ -1/2 N) 1))) (- (/ 1 N) (/ -1/2 (* N N)))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (- (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))))) 20.546 * * * * [progress]: [ 93 / 130 ] simplifiying candidate # 20.546 * [simplify]: Simplifying (* (- (* 1 (* N N)) (* N -1/2)) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) 20.546 * * [simplify]: iters left: 6 (14 enodes) 20.555 * * [simplify]: iters left: 5 (66 enodes) 20.586 * * [simplify]: iters left: 4 (166 enodes) 20.665 * * [simplify]: iters left: 3 (486 enodes) 21.055 * * [simplify]: Extracting #0: cost 1 inf + 0 21.055 * * [simplify]: Extracting #1: cost 80 inf + 0 21.057 * * [simplify]: Extracting #2: cost 316 inf + 2 21.060 * * [simplify]: Extracting #3: cost 363 inf + 5715 21.071 * * [simplify]: Extracting #4: cost 94 inf + 47378 21.095 * * [simplify]: Extracting #5: cost 0 inf + 66991 21.135 * * [simplify]: Extracting #6: cost 0 inf + 65976 21.156 * * [simplify]: Extracting #7: cost 0 inf + 65886 21.183 * [simplify]: Simplified to (+ (* (+ N -1/2) (- N -1/2)) (/ (* (- N -1/2) 1/3) N)) 21.183 * [simplify]: Simplified (2 1) to (λ (N) (/ (+ (* (+ N -1/2) (- N -1/2)) (/ (* (- N -1/2) 1/3) N)) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (* N (* N N))))) 21.183 * * * * [progress]: [ 94 / 130 ] simplifiying candidate # 21.183 * [simplify]: Simplifying (* (- (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) 21.184 * * [simplify]: iters left: 6 (17 enodes) 21.196 * * [simplify]: iters left: 5 (97 enodes) 21.220 * * [simplify]: iters left: 4 (257 enodes) 21.341 * * [simplify]: Extracting #0: cost 1 inf + 0 21.341 * * [simplify]: Extracting #1: cost 28 inf + 0 21.342 * * [simplify]: Extracting #2: cost 217 inf + 0 21.344 * * [simplify]: Extracting #3: cost 298 inf + 742 21.349 * * [simplify]: Extracting #4: cost 273 inf + 11270 21.363 * * [simplify]: Extracting #5: cost 91 inf + 55332 21.381 * * [simplify]: Extracting #6: cost 2 inf + 87237 21.415 * * [simplify]: Extracting #7: cost 0 inf + 87573 21.450 * [simplify]: Simplified to (* (- (/ 1 (* (* N N) N)) (/ -1/8 (* (* (* N N) N) (* (* N N) N)))) (+ 1 (+ (/ 1/3 (* N N)) (/ -1/2 N)))) 21.451 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (- (/ 1 (* (* N N) N)) (/ -1/8 (* (* (* N N) N) (* (* N N) N)))) (+ 1 (+ (/ 1/3 (* N N)) (/ -1/2 N)))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N)))))))) 21.451 * * * * [progress]: [ 95 / 130 ] simplifiying candidate # 21.451 * [simplify]: Simplifying (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) 21.451 * * [simplify]: iters left: 6 (16 enodes) 21.461 * * [simplify]: iters left: 5 (85 enodes) 21.502 * * [simplify]: iters left: 4 (216 enodes) 21.579 * * [simplify]: Extracting #0: cost 1 inf + 0 21.579 * * [simplify]: Extracting #1: cost 40 inf + 0 21.579 * * [simplify]: Extracting #2: cost 223 inf + 0 21.580 * * [simplify]: Extracting #3: cost 280 inf + 455 21.583 * * [simplify]: Extracting #4: cost 235 inf + 10698 21.594 * * [simplify]: Extracting #5: cost 58 inf + 51775 21.621 * * [simplify]: Extracting #6: cost 1 inf + 65134 21.651 * * [simplify]: Extracting #7: cost 0 inf + 64312 21.681 * * [simplify]: Extracting #8: cost 0 inf + 64156 21.714 * [simplify]: Simplified to (* (- (/ (/ 1 N) N) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (+ (+ 1 (/ 1/3 (* N N))) (/ -1/2 N))) 21.714 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (- (/ (/ 1 N) N) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (+ (+ 1 (/ 1/3 (* N N))) (/ -1/2 N))) (* (* (- (/ 1 N) (/ -1/2 (* N N))) N) (+ (/ 1 N) (/ -1/2 (* N N)))))) 21.715 * * * * [progress]: [ 96 / 130 ] simplifiying candidate #real (real->posit16 (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N)))))> 21.715 * * * * [progress]: [ 97 / 130 ] simplifiying candidate # 21.715 * * * * [progress]: [ 98 / 130 ] simplifiying candidate # 21.715 * [simplify]: Simplifying (- (log 1/3) (+ (log N) (log N))) 21.715 * * [simplify]: iters left: 5 (6 enodes) 21.719 * * [simplify]: iters left: 4 (22 enodes) 21.727 * * [simplify]: iters left: 3 (31 enodes) 21.732 * * [simplify]: iters left: 2 (39 enodes) 21.738 * * [simplify]: iters left: 1 (45 enodes) 21.744 * * [simplify]: Extracting #0: cost 1 inf + 0 21.744 * * [simplify]: Extracting #1: cost 10 inf + 0 21.744 * * [simplify]: Extracting #2: cost 20 inf + 0 21.744 * * [simplify]: Extracting #3: cost 16 inf + 184 21.745 * * [simplify]: Extracting #4: cost 5 inf + 1698 21.745 * * [simplify]: Extracting #5: cost 0 inf + 2537 21.746 * [simplify]: Simplified to (- (log 1/3) (+ (log N) (log N))) 21.746 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (exp (- (log 1/3) (+ (log N) (log N)))) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 21.746 * * * * [progress]: [ 99 / 130 ] simplifiying candidate # 21.746 * [simplify]: Simplifying (- (log 1/3) (log (* N N))) 21.746 * * [simplify]: iters left: 5 (6 enodes) 21.748 * * [simplify]: iters left: 4 (22 enodes) 21.752 * * [simplify]: iters left: 3 (31 enodes) 21.756 * * [simplify]: iters left: 2 (41 enodes) 21.763 * * [simplify]: iters left: 1 (48 enodes) 21.770 * * [simplify]: Extracting #0: cost 1 inf + 0 21.770 * * [simplify]: Extracting #1: cost 12 inf + 0 21.770 * * [simplify]: Extracting #2: cost 25 inf + 0 21.771 * * [simplify]: Extracting #3: cost 10 inf + 1748 21.771 * * [simplify]: Extracting #4: cost 0 inf + 3263 21.772 * [simplify]: Simplified to (- (log 1/3) (+ (log N) (log N))) 21.772 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (exp (- (log 1/3) (+ (log N) (log N)))) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 21.772 * * * * [progress]: [ 100 / 130 ] simplifiying candidate # 21.772 * * * * [progress]: [ 101 / 130 ] simplifiying candidate # 21.772 * * * * [progress]: [ 102 / 130 ] simplifiying candidate # 21.772 * [simplify]: Simplifying (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) N) (* (* N N) N))) 21.772 * * [simplify]: iters left: 6 (8 enodes) 21.775 * * [simplify]: iters left: 5 (40 enodes) 21.787 * * [simplify]: iters left: 4 (125 enodes) 21.843 * * [simplify]: iters left: 3 (395 enodes) 22.102 * * [simplify]: Extracting #0: cost 1 inf + 0 22.103 * * [simplify]: Extracting #1: cost 86 inf + 0 22.105 * * [simplify]: Extracting #2: cost 142 inf + 3503 22.115 * * [simplify]: Extracting #3: cost 48 inf + 15446 22.127 * * [simplify]: Extracting #4: cost 14 inf + 21195 22.141 * * [simplify]: Extracting #5: cost 0 inf + 25333 22.155 * [simplify]: Simplified to (/ 1/27 (* (* N (* N N)) (* N (* N N)))) 22.155 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (cbrt (/ 1/27 (* (* N (* N N)) (* N (* N N))))) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 22.155 * * * * [progress]: [ 103 / 130 ] simplifiying candidate # 22.156 * [simplify]: Simplifying (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) (* N N)) (* N N))) 22.156 * * [simplify]: iters left: 6 (8 enodes) 22.162 * * [simplify]: iters left: 5 (41 enodes) 22.181 * * [simplify]: iters left: 4 (128 enodes) 22.232 * * [simplify]: iters left: 3 (370 enodes) 22.407 * * [simplify]: Extracting #0: cost 1 inf + 0 22.407 * * [simplify]: Extracting #1: cost 85 inf + 0 22.409 * * [simplify]: Extracting #2: cost 134 inf + 2854 22.416 * * [simplify]: Extracting #3: cost 61 inf + 11812 22.427 * * [simplify]: Extracting #4: cost 18 inf + 18887 22.439 * * [simplify]: Extracting #5: cost 0 inf + 24276 22.451 * [simplify]: Simplified to (/ (/ 1/27 (* N (* N N))) (* N (* N N))) 22.451 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (cbrt (/ (/ 1/27 (* N (* N N))) (* N (* N N)))) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 22.452 * * * * [progress]: [ 104 / 130 ] simplifiying candidate # 22.452 * * * * [progress]: [ 105 / 130 ] simplifiying candidate # 22.452 * * * * [progress]: [ 106 / 130 ] simplifiying candidate # 22.452 * * * * [progress]: [ 107 / 130 ] simplifiying candidate # 22.452 * * * * [progress]: [ 108 / 130 ] simplifiying candidate # 22.452 * [simplify]: Simplifying (/ (* (cbrt 1/3) (cbrt 1/3)) N) 22.452 * * [simplify]: iters left: 5 (5 enodes) 22.455 * * [simplify]: iters left: 4 (17 enodes) 22.461 * * [simplify]: iters left: 3 (21 enodes) 22.468 * * [simplify]: iters left: 2 (24 enodes) 22.473 * * [simplify]: Extracting #0: cost 1 inf + 0 22.473 * * [simplify]: Extracting #1: cost 7 inf + 0 22.473 * * [simplify]: Extracting #2: cost 11 inf + 1 22.473 * * [simplify]: Extracting #3: cost 10 inf + 2 22.473 * * [simplify]: Extracting #4: cost 0 inf + 1218 22.473 * [simplify]: Simplified to (/ (* (cbrt 1/3) (cbrt 1/3)) N) 22.473 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (* (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ (cbrt 1/3) N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 22.474 * [simplify]: Simplifying (/ (cbrt 1/3) N) 22.474 * * [simplify]: iters left: 3 (4 enodes) 22.478 * * [simplify]: iters left: 2 (12 enodes) 22.480 * * [simplify]: Extracting #0: cost 1 inf + 0 22.480 * * [simplify]: Extracting #1: cost 4 inf + 0 22.480 * * [simplify]: Extracting #2: cost 5 inf + 1 22.480 * * [simplify]: Extracting #3: cost 4 inf + 2 22.480 * * [simplify]: Extracting #4: cost 0 inf + 408 22.480 * [simplify]: Simplified to (/ (cbrt 1/3) N) 22.480 * [simplify]: Simplified (2 1 2 1 2) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (* (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ (cbrt 1/3) N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 22.480 * * * * [progress]: [ 109 / 130 ] simplifiying candidate # 22.481 * [simplify]: Simplifying (/ (sqrt 1/3) N) 22.481 * * [simplify]: iters left: 3 (4 enodes) 22.482 * * [simplify]: iters left: 2 (12 enodes) 22.484 * * [simplify]: Extracting #0: cost 1 inf + 0 22.484 * * [simplify]: Extracting #1: cost 4 inf + 0 22.484 * * [simplify]: Extracting #2: cost 5 inf + 1 22.484 * * [simplify]: Extracting #3: cost 4 inf + 2 22.484 * * [simplify]: Extracting #4: cost 0 inf + 248 22.485 * [simplify]: Simplified to (/ (sqrt 1/3) N) 22.485 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (* (/ (sqrt 1/3) N) (/ (sqrt 1/3) N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 22.485 * [simplify]: Simplifying (/ (sqrt 1/3) N) 22.485 * * [simplify]: iters left: 3 (4 enodes) 22.486 * * [simplify]: iters left: 2 (12 enodes) 22.488 * * [simplify]: Extracting #0: cost 1 inf + 0 22.488 * * [simplify]: Extracting #1: cost 4 inf + 0 22.488 * * [simplify]: Extracting #2: cost 5 inf + 1 22.489 * * [simplify]: Extracting #3: cost 4 inf + 2 22.489 * * [simplify]: Extracting #4: cost 0 inf + 248 22.489 * [simplify]: Simplified to (/ (sqrt 1/3) N) 22.489 * [simplify]: Simplified (2 1 2 1 2) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (* (/ (sqrt 1/3) N) (/ (sqrt 1/3) N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 22.489 * * * * [progress]: [ 110 / 130 ] simplifiying candidate # 22.489 * [simplify]: Simplifying (/ 1 N) 22.489 * * [simplify]: iters left: 2 (3 enodes) 22.490 * * [simplify]: iters left: 1 (11 enodes) 22.492 * * [simplify]: Extracting #0: cost 1 inf + 0 22.492 * * [simplify]: Extracting #1: cost 4 inf + 0 22.492 * * [simplify]: Extracting #2: cost 2 inf + 2 22.492 * * [simplify]: Extracting #3: cost 0 inf + 86 22.492 * [simplify]: Simplified to (/ 1 N) 22.492 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (* (/ 1 N) (/ 1/3 N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 22.492 * [simplify]: Simplifying (/ 1/3 N) 22.492 * * [simplify]: iters left: 2 (3 enodes) 22.493 * * [simplify]: iters left: 1 (9 enodes) 22.495 * * [simplify]: Extracting #0: cost 1 inf + 0 22.495 * * [simplify]: Extracting #1: cost 4 inf + 0 22.495 * * [simplify]: Extracting #2: cost 2 inf + 2 22.495 * * [simplify]: Extracting #3: cost 0 inf + 86 22.495 * [simplify]: Simplified to (/ 1/3 N) 22.495 * [simplify]: Simplified (2 1 2 1 2) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (* (/ 1 N) (/ 1/3 N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 22.495 * * * * [progress]: [ 111 / 130 ] simplifiying candidate # 22.495 * * * * [progress]: [ 112 / 130 ] simplifiying candidate # 22.495 * * * * [progress]: [ 113 / 130 ] simplifiying candidate # 22.495 * * * * [progress]: [ 114 / 130 ] simplifiying candidate # 22.495 * * * * [progress]: [ 115 / 130 ] simplifiying candidate # 22.495 * [simplify]: Simplifying (* (cbrt 1/3) (cbrt 1/3)) 22.495 * * [simplify]: iters left: 3 (3 enodes) 22.497 * * [simplify]: iters left: 2 (9 enodes) 22.498 * * [simplify]: Extracting #0: cost 1 inf + 0 22.498 * * [simplify]: Extracting #1: cost 3 inf + 0 22.498 * * [simplify]: Extracting #2: cost 5 inf + 0 22.498 * * [simplify]: Extracting #3: cost 4 inf + 1 22.498 * * [simplify]: Extracting #4: cost 0 inf + 405 22.499 * [simplify]: Simplified to (* (cbrt 1/3) (cbrt 1/3)) 22.499 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ (* (cbrt 1/3) (cbrt 1/3)) (/ (* N N) (cbrt 1/3))) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 22.499 * * * * [progress]: [ 116 / 130 ] simplifiying candidate # 22.499 * [simplify]: Simplifying (sqrt 1/3) 22.499 * * [simplify]: iters left: 1 (2 enodes) 22.500 * * [simplify]: Extracting #0: cost 1 inf + 0 22.500 * * [simplify]: Extracting #1: cost 3 inf + 0 22.500 * * [simplify]: Extracting #2: cost 2 inf + 1 22.500 * * [simplify]: Extracting #3: cost 0 inf + 83 22.500 * [simplify]: Simplified to (sqrt 1/3) 22.500 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ (sqrt 1/3) (/ (* N N) (sqrt 1/3))) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 22.500 * * * * [progress]: [ 117 / 130 ] simplifiying candidate # 22.500 * * * * [progress]: [ 118 / 130 ] simplifiying candidate #real (real->posit16 (/ 1/3 (* N N)))) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N)))> 22.500 * * * * [progress]: [ 119 / 130 ] simplifiying candidate # 22.500 * [simplify]: Simplifying (/ -1/2 N) 22.500 * * [simplify]: iters left: 2 (3 enodes) 22.501 * * [simplify]: iters left: 1 (9 enodes) 22.503 * * [simplify]: Extracting #0: cost 1 inf + 0 22.503 * * [simplify]: Extracting #1: cost 4 inf + 0 22.503 * * [simplify]: Extracting #2: cost 2 inf + 2 22.503 * * [simplify]: Extracting #3: cost 0 inf + 86 22.503 * [simplify]: Simplified to (/ -1/2 N) 22.503 * [simplify]: Simplified (2 1 2 2 2) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ -1/2 N)))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 22.503 * * * * [progress]: [ 120 / 130 ] simplifiying candidate # 22.503 * [simplify]: Simplifying (/ -1/2 N) 22.503 * * [simplify]: iters left: 2 (3 enodes) 22.504 * * [simplify]: iters left: 1 (9 enodes) 22.506 * * [simplify]: Extracting #0: cost 1 inf + 0 22.506 * * [simplify]: Extracting #1: cost 4 inf + 0 22.506 * * [simplify]: Extracting #2: cost 2 inf + 2 22.506 * * [simplify]: Extracting #3: cost 0 inf + 86 22.506 * [simplify]: Simplified to (/ -1/2 N) 22.506 * [simplify]: Simplified (2 1 2 2 2) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ -1/2 N)))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 22.506 * * * * [progress]: [ 121 / 130 ] simplifiying candidate # 22.506 * [simplify]: Simplifying (/ -1/2 N) 22.506 * * [simplify]: iters left: 2 (3 enodes) 22.507 * * [simplify]: iters left: 1 (9 enodes) 22.508 * * [simplify]: Extracting #0: cost 1 inf + 0 22.508 * * [simplify]: Extracting #1: cost 4 inf + 0 22.508 * * [simplify]: Extracting #2: cost 2 inf + 2 22.508 * * [simplify]: Extracting #3: cost 0 inf + 86 22.509 * [simplify]: Simplified to (/ -1/2 N) 22.509 * [simplify]: Simplified (2 1 2 2 2) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ -1/2 N)))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 22.509 * * * * [progress]: [ 122 / 130 ] simplifiying candidate # 22.509 * [simplify]: Simplifying (+ (* 1/2 (/ 1 N)) 1) 22.509 * * [simplify]: iters left: 6 (6 enodes) 22.511 * * [simplify]: iters left: 5 (24 enodes) 22.515 * * [simplify]: iters left: 4 (28 enodes) 22.519 * * [simplify]: Extracting #0: cost 1 inf + 0 22.519 * * [simplify]: Extracting #1: cost 4 inf + 0 22.519 * * [simplify]: Extracting #2: cost 7 inf + 1 22.519 * * [simplify]: Extracting #3: cost 6 inf + 3 22.520 * * [simplify]: Extracting #4: cost 1 inf + 254 22.520 * * [simplify]: Extracting #5: cost 0 inf + 337 22.520 * [simplify]: Simplified to (+ 1 (/ 1/2 N)) 22.520 * [simplify]: Simplified (2 2) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (+ 1 (/ 1/2 N)))) 22.520 * * * * [progress]: [ 123 / 130 ] simplifiying candidate # 22.520 * [simplify]: Simplifying (+ (* 1/2 (/ 1 N)) 1) 22.520 * * [simplify]: iters left: 6 (6 enodes) 22.523 * * [simplify]: iters left: 5 (24 enodes) 22.527 * * [simplify]: iters left: 4 (28 enodes) 22.531 * * [simplify]: Extracting #0: cost 1 inf + 0 22.531 * * [simplify]: Extracting #1: cost 4 inf + 0 22.531 * * [simplify]: Extracting #2: cost 7 inf + 1 22.531 * * [simplify]: Extracting #3: cost 6 inf + 3 22.531 * * [simplify]: Extracting #4: cost 1 inf + 254 22.531 * * [simplify]: Extracting #5: cost 0 inf + 337 22.531 * [simplify]: Simplified to (+ 1 (/ 1/2 N)) 22.531 * [simplify]: Simplified (2 2) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (+ 1 (/ 1/2 N)))) 22.531 * * * * [progress]: [ 124 / 130 ] simplifiying candidate # 22.531 * [simplify]: Simplifying (+ (* 1/2 (/ 1 N)) 1) 22.531 * * [simplify]: iters left: 6 (6 enodes) 22.534 * * [simplify]: iters left: 5 (24 enodes) 22.538 * * [simplify]: iters left: 4 (28 enodes) 22.545 * * [simplify]: Extracting #0: cost 1 inf + 0 22.545 * * [simplify]: Extracting #1: cost 4 inf + 0 22.545 * * [simplify]: Extracting #2: cost 7 inf + 1 22.545 * * [simplify]: Extracting #3: cost 6 inf + 3 22.545 * * [simplify]: Extracting #4: cost 1 inf + 254 22.545 * * [simplify]: Extracting #5: cost 0 inf + 337 22.545 * [simplify]: Simplified to (+ 1 (/ 1/2 N)) 22.546 * [simplify]: Simplified (2 2) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (+ 1 (/ 1/2 N)))) 22.546 * * * * [progress]: [ 125 / 130 ] simplifiying candidate # 22.546 * [simplify]: Simplifying (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 22.546 * * [simplify]: iters left: 6 (15 enodes) 22.557 * * [simplify]: iters left: 5 (68 enodes) 22.582 * * [simplify]: iters left: 4 (114 enodes) 22.602 * * [simplify]: iters left: 3 (170 enodes) 22.647 * * [simplify]: iters left: 2 (277 enodes) 22.733 * * [simplify]: iters left: 1 (483 enodes) 22.905 * * [simplify]: Extracting #0: cost 1 inf + 0 22.905 * * [simplify]: Extracting #1: cost 16 inf + 0 22.905 * * [simplify]: Extracting #2: cost 115 inf + 0 22.906 * * [simplify]: Extracting #3: cost 226 inf + 172 22.908 * * [simplify]: Extracting #4: cost 204 inf + 4343 22.912 * * [simplify]: Extracting #5: cost 131 inf + 27246 22.921 * * [simplify]: Extracting #6: cost 12 inf + 97808 22.938 * * [simplify]: Extracting #7: cost 0 inf + 106610 22.965 * [simplify]: Simplified to (+ (/ 1 N) (/ (* 1 (+ (/ 1/3 N) -1/2)) (* N N))) 22.965 * [simplify]: Simplified (2) to (λ (N) (+ (/ 1 N) (/ (* 1 (+ (/ 1/3 N) -1/2)) (* N N)))) 22.965 * * * * [progress]: [ 126 / 130 ] simplifiying candidate # 22.965 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 22.966 * * [simplify]: iters left: 6 (15 enodes) 22.977 * * [simplify]: iters left: 5 (68 enodes) 23.003 * * [simplify]: iters left: 4 (114 enodes) 23.022 * * [simplify]: iters left: 3 (170 enodes) 23.064 * * [simplify]: iters left: 2 (278 enodes) 23.134 * * [simplify]: Extracting #0: cost 1 inf + 0 23.134 * * [simplify]: Extracting #1: cost 11 inf + 0 23.135 * * [simplify]: Extracting #2: cost 69 inf + 0 23.135 * * [simplify]: Extracting #3: cost 110 inf + 741 23.136 * * [simplify]: Extracting #4: cost 88 inf + 3078 23.139 * * [simplify]: Extracting #5: cost 40 inf + 17981 23.146 * * [simplify]: Extracting #6: cost 6 inf + 30433 23.154 * * [simplify]: Extracting #7: cost 0 inf + 32845 23.161 * * [simplify]: Extracting #8: cost 0 inf + 32765 23.169 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 23.169 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 23.169 * * * * [progress]: [ 127 / 130 ] simplifiying candidate # 23.169 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 23.170 * * [simplify]: iters left: 6 (15 enodes) 23.180 * * [simplify]: iters left: 5 (68 enodes) 23.210 * * [simplify]: iters left: 4 (114 enodes) 23.237 * * [simplify]: iters left: 3 (170 enodes) 23.267 * * [simplify]: iters left: 2 (278 enodes) 23.349 * * [simplify]: Extracting #0: cost 1 inf + 0 23.349 * * [simplify]: Extracting #1: cost 11 inf + 0 23.350 * * [simplify]: Extracting #2: cost 69 inf + 0 23.350 * * [simplify]: Extracting #3: cost 110 inf + 741 23.351 * * [simplify]: Extracting #4: cost 88 inf + 3078 23.353 * * [simplify]: Extracting #5: cost 40 inf + 17981 23.357 * * [simplify]: Extracting #6: cost 6 inf + 30433 23.361 * * [simplify]: Extracting #7: cost 0 inf + 32845 23.365 * * [simplify]: Extracting #8: cost 0 inf + 32765 23.369 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 23.369 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 23.369 * * * * [progress]: [ 128 / 130 ] simplifiying candidate # 23.370 * [simplify]: Simplifying (/ 1/3 (pow N 2)) 23.370 * * [simplify]: iters left: 3 (5 enodes) 23.372 * * [simplify]: iters left: 2 (20 enodes) 23.375 * * [simplify]: iters left: 1 (26 enodes) 23.380 * * [simplify]: Extracting #0: cost 1 inf + 0 23.380 * * [simplify]: Extracting #1: cost 6 inf + 0 23.380 * * [simplify]: Extracting #2: cost 6 inf + 43 23.380 * * [simplify]: Extracting #3: cost 0 inf + 333 23.381 * [simplify]: Simplified to (/ 1/3 (* N N)) 23.381 * [simplify]: Simplified (2 1 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 23.381 * * * * [progress]: [ 129 / 130 ] simplifiying candidate # 23.381 * [simplify]: Simplifying (/ 1/3 (pow N 2)) 23.381 * * [simplify]: iters left: 3 (5 enodes) 23.385 * * [simplify]: iters left: 2 (20 enodes) 23.392 * * [simplify]: iters left: 1 (26 enodes) 23.400 * * [simplify]: Extracting #0: cost 1 inf + 0 23.400 * * [simplify]: Extracting #1: cost 6 inf + 0 23.400 * * [simplify]: Extracting #2: cost 6 inf + 43 23.401 * * [simplify]: Extracting #3: cost 0 inf + 333 23.401 * [simplify]: Simplified to (/ 1/3 (* N N)) 23.401 * [simplify]: Simplified (2 1 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 23.401 * * * * [progress]: [ 130 / 130 ] simplifiying candidate # 23.401 * [simplify]: Simplifying (/ 1/3 (pow N 2)) 23.401 * * [simplify]: iters left: 3 (5 enodes) 23.405 * * [simplify]: iters left: 2 (20 enodes) 23.412 * * [simplify]: iters left: 1 (26 enodes) 23.424 * * [simplify]: Extracting #0: cost 1 inf + 0 23.424 * * [simplify]: Extracting #1: cost 6 inf + 0 23.424 * * [simplify]: Extracting #2: cost 6 inf + 43 23.424 * * [simplify]: Extracting #3: cost 0 inf + 333 23.424 * [simplify]: Simplified to (/ 1/3 (* N N)) 23.424 * [simplify]: Simplified (2 1 2 1) to (λ (N) (/ (* (- (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1/3 (* N N)) (+ 1 (/ (* -1/2 N) (* N N))))) (* (- (/ 1 N) (/ -1/2 (* N N))) N))) 23.425 * * * [progress]: adding candidates to table 24.731 * * [progress]: iteration 4 / 4 24.731 * * * [progress]: picking best candidate 24.737 * * * * [pick]: Picked # 24.737 * * * [progress]: localizing error 24.773 * * * [progress]: generating rewritten candidates 24.773 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 24.809 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 24.817 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 24.822 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 24.826 * * * [progress]: generating series expansions 24.826 * * * * [progress]: [ 1 / 4 ] generating series at (2) 24.826 * [backup-simplify]: Simplify (- (exp (log (log (+ N 1)))) (log N)) into (- (log (+ N 1)) (log N)) 24.826 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 24.826 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 24.826 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 24.826 * [taylor]: Taking taylor expansion of (+ N 1) in N 24.826 * [taylor]: Taking taylor expansion of N in N 24.826 * [backup-simplify]: Simplify 0 into 0 24.826 * [backup-simplify]: Simplify 1 into 1 24.826 * [taylor]: Taking taylor expansion of 1 in N 24.826 * [backup-simplify]: Simplify 1 into 1 24.827 * [backup-simplify]: Simplify (+ 0 1) into 1 24.827 * [backup-simplify]: Simplify (log 1) into 0 24.827 * [taylor]: Taking taylor expansion of (log N) in N 24.827 * [taylor]: Taking taylor expansion of N in N 24.827 * [backup-simplify]: Simplify 0 into 0 24.828 * [backup-simplify]: Simplify 1 into 1 24.828 * [backup-simplify]: Simplify (log 1) into 0 24.828 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 24.828 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 24.828 * [taylor]: Taking taylor expansion of (+ N 1) in N 24.828 * [taylor]: Taking taylor expansion of N in N 24.828 * [backup-simplify]: Simplify 0 into 0 24.828 * [backup-simplify]: Simplify 1 into 1 24.828 * [taylor]: Taking taylor expansion of 1 in N 24.828 * [backup-simplify]: Simplify 1 into 1 24.829 * [backup-simplify]: Simplify (+ 0 1) into 1 24.829 * [backup-simplify]: Simplify (log 1) into 0 24.829 * [taylor]: Taking taylor expansion of (log N) in N 24.829 * [taylor]: Taking taylor expansion of N in N 24.829 * [backup-simplify]: Simplify 0 into 0 24.829 * [backup-simplify]: Simplify 1 into 1 24.830 * [backup-simplify]: Simplify (log 1) into 0 24.830 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 24.830 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 24.830 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 24.830 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 24.831 * [backup-simplify]: Simplify (+ 1 0) into 1 24.832 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 24.834 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 24.834 * [backup-simplify]: Simplify (- 0) into 0 24.834 * [backup-simplify]: Simplify (+ 1 0) into 1 24.834 * [backup-simplify]: Simplify 1 into 1 24.835 * [backup-simplify]: Simplify (+ 0 0) into 0 24.836 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 24.838 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 24.838 * [backup-simplify]: Simplify (- 0) into 0 24.838 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 24.838 * [backup-simplify]: Simplify -1/2 into -1/2 24.838 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 24.839 * [backup-simplify]: Simplify (- (exp (log (log (+ (/ 1 N) 1)))) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 24.839 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 24.839 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 24.839 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 24.839 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 24.839 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.839 * [taylor]: Taking taylor expansion of N in N 24.839 * [backup-simplify]: Simplify 0 into 0 24.839 * [backup-simplify]: Simplify 1 into 1 24.839 * [backup-simplify]: Simplify (/ 1 1) into 1 24.839 * [taylor]: Taking taylor expansion of 1 in N 24.839 * [backup-simplify]: Simplify 1 into 1 24.839 * [backup-simplify]: Simplify (+ 1 0) into 1 24.840 * [backup-simplify]: Simplify (log 1) into 0 24.840 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 24.840 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.840 * [taylor]: Taking taylor expansion of N in N 24.840 * [backup-simplify]: Simplify 0 into 0 24.840 * [backup-simplify]: Simplify 1 into 1 24.840 * [backup-simplify]: Simplify (/ 1 1) into 1 24.840 * [backup-simplify]: Simplify (log 1) into 0 24.840 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 24.840 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 24.840 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 24.840 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.840 * [taylor]: Taking taylor expansion of N in N 24.840 * [backup-simplify]: Simplify 0 into 0 24.840 * [backup-simplify]: Simplify 1 into 1 24.841 * [backup-simplify]: Simplify (/ 1 1) into 1 24.841 * [taylor]: Taking taylor expansion of 1 in N 24.841 * [backup-simplify]: Simplify 1 into 1 24.841 * [backup-simplify]: Simplify (+ 1 0) into 1 24.841 * [backup-simplify]: Simplify (log 1) into 0 24.841 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 24.841 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.841 * [taylor]: Taking taylor expansion of N in N 24.841 * [backup-simplify]: Simplify 0 into 0 24.841 * [backup-simplify]: Simplify 1 into 1 24.842 * [backup-simplify]: Simplify (/ 1 1) into 1 24.842 * [backup-simplify]: Simplify (log 1) into 0 24.842 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 24.842 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 24.842 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 24.842 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 24.842 * [backup-simplify]: Simplify 0 into 0 24.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.843 * [backup-simplify]: Simplify (+ 0 1) into 1 24.844 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 24.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.845 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 24.845 * [backup-simplify]: Simplify (- 0) into 0 24.846 * [backup-simplify]: Simplify (+ 1 0) into 1 24.846 * [backup-simplify]: Simplify 1 into 1 24.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.846 * [backup-simplify]: Simplify (+ 0 0) into 0 24.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 24.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.850 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 24.850 * [backup-simplify]: Simplify (- 0) into 0 24.850 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 24.850 * [backup-simplify]: Simplify -1/2 into -1/2 24.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.851 * [backup-simplify]: Simplify (+ 0 0) into 0 24.854 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 24.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.857 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 24.857 * [backup-simplify]: Simplify (- 0) into 0 24.858 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 24.858 * [backup-simplify]: Simplify 1/3 into 1/3 24.858 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 24.858 * [backup-simplify]: Simplify (- (exp (log (log (+ (/ 1 (- N)) 1)))) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 24.858 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 24.858 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 24.858 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 24.858 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 24.858 * [taylor]: Taking taylor expansion of 1 in N 24.858 * [backup-simplify]: Simplify 1 into 1 24.858 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.858 * [taylor]: Taking taylor expansion of N in N 24.858 * [backup-simplify]: Simplify 0 into 0 24.858 * [backup-simplify]: Simplify 1 into 1 24.859 * [backup-simplify]: Simplify (/ 1 1) into 1 24.859 * [backup-simplify]: Simplify (- 1) into -1 24.859 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.859 * [backup-simplify]: Simplify (log -1) into (log -1) 24.859 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 24.859 * [taylor]: Taking taylor expansion of (/ -1 N) in N 24.859 * [taylor]: Taking taylor expansion of -1 in N 24.859 * [backup-simplify]: Simplify -1 into -1 24.859 * [taylor]: Taking taylor expansion of N in N 24.859 * [backup-simplify]: Simplify 0 into 0 24.859 * [backup-simplify]: Simplify 1 into 1 24.860 * [backup-simplify]: Simplify (/ -1 1) into -1 24.860 * [backup-simplify]: Simplify (log -1) into (log -1) 24.860 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 24.860 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 24.860 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 24.860 * [taylor]: Taking taylor expansion of 1 in N 24.860 * [backup-simplify]: Simplify 1 into 1 24.860 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.860 * [taylor]: Taking taylor expansion of N in N 24.860 * [backup-simplify]: Simplify 0 into 0 24.860 * [backup-simplify]: Simplify 1 into 1 24.860 * [backup-simplify]: Simplify (/ 1 1) into 1 24.861 * [backup-simplify]: Simplify (- 1) into -1 24.861 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.861 * [backup-simplify]: Simplify (log -1) into (log -1) 24.861 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 24.861 * [taylor]: Taking taylor expansion of (/ -1 N) in N 24.861 * [taylor]: Taking taylor expansion of -1 in N 24.861 * [backup-simplify]: Simplify -1 into -1 24.861 * [taylor]: Taking taylor expansion of N in N 24.861 * [backup-simplify]: Simplify 0 into 0 24.861 * [backup-simplify]: Simplify 1 into 1 24.861 * [backup-simplify]: Simplify (/ -1 1) into -1 24.862 * [backup-simplify]: Simplify (log -1) into (log -1) 24.862 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 24.864 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 24.864 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 24.865 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 24.865 * [backup-simplify]: Simplify 0 into 0 24.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.866 * [backup-simplify]: Simplify (- 0) into 0 24.867 * [backup-simplify]: Simplify (+ 1 0) into 1 24.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 24.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 24.870 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 24.871 * [backup-simplify]: Simplify (- 0) into 0 24.871 * [backup-simplify]: Simplify (+ -1 0) into -1 24.871 * [backup-simplify]: Simplify -1 into -1 24.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.873 * [backup-simplify]: Simplify (- 0) into 0 24.873 * [backup-simplify]: Simplify (+ 0 0) into 0 24.875 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 24.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.879 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 24.880 * [backup-simplify]: Simplify (- 0) into 0 24.880 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 24.881 * [backup-simplify]: Simplify -1/2 into -1/2 24.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.882 * [backup-simplify]: Simplify (- 0) into 0 24.883 * [backup-simplify]: Simplify (+ 0 0) into 0 24.888 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 24.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.892 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 24.893 * [backup-simplify]: Simplify (- 0) into 0 24.893 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 24.893 * [backup-simplify]: Simplify -1/3 into -1/3 24.893 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 24.893 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 24.893 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 24.893 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 24.893 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 24.893 * [taylor]: Taking taylor expansion of (+ N 1) in N 24.893 * [taylor]: Taking taylor expansion of N in N 24.893 * [backup-simplify]: Simplify 0 into 0 24.893 * [backup-simplify]: Simplify 1 into 1 24.894 * [taylor]: Taking taylor expansion of 1 in N 24.894 * [backup-simplify]: Simplify 1 into 1 24.894 * [backup-simplify]: Simplify (+ 0 1) into 1 24.894 * [backup-simplify]: Simplify (log 1) into 0 24.894 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 24.894 * [taylor]: Taking taylor expansion of (+ N 1) in N 24.894 * [taylor]: Taking taylor expansion of N in N 24.894 * [backup-simplify]: Simplify 0 into 0 24.894 * [backup-simplify]: Simplify 1 into 1 24.894 * [taylor]: Taking taylor expansion of 1 in N 24.894 * [backup-simplify]: Simplify 1 into 1 24.894 * [backup-simplify]: Simplify (+ 0 1) into 1 24.895 * [backup-simplify]: Simplify (log 1) into 0 24.895 * [backup-simplify]: Simplify 0 into 0 24.895 * [backup-simplify]: Simplify (+ 1 0) into 1 24.896 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 24.896 * [backup-simplify]: Simplify 1 into 1 24.896 * [backup-simplify]: Simplify (+ 0 0) into 0 24.897 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 24.898 * [backup-simplify]: Simplify -1/2 into -1/2 24.898 * [backup-simplify]: Simplify (+ 0 0) into 0 24.900 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 24.900 * [backup-simplify]: Simplify 1/3 into 1/3 24.901 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 24.901 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 24.901 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 24.901 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 24.901 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 24.901 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.901 * [taylor]: Taking taylor expansion of N in N 24.901 * [backup-simplify]: Simplify 0 into 0 24.901 * [backup-simplify]: Simplify 1 into 1 24.901 * [backup-simplify]: Simplify (/ 1 1) into 1 24.901 * [taylor]: Taking taylor expansion of 1 in N 24.901 * [backup-simplify]: Simplify 1 into 1 24.901 * [backup-simplify]: Simplify (+ 1 0) into 1 24.902 * [backup-simplify]: Simplify (log 1) into 0 24.902 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 24.902 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 24.902 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.902 * [taylor]: Taking taylor expansion of N in N 24.902 * [backup-simplify]: Simplify 0 into 0 24.902 * [backup-simplify]: Simplify 1 into 1 24.902 * [backup-simplify]: Simplify (/ 1 1) into 1 24.902 * [taylor]: Taking taylor expansion of 1 in N 24.902 * [backup-simplify]: Simplify 1 into 1 24.903 * [backup-simplify]: Simplify (+ 1 0) into 1 24.903 * [backup-simplify]: Simplify (log 1) into 0 24.903 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 24.903 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 24.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.904 * [backup-simplify]: Simplify (+ 0 1) into 1 24.905 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 24.905 * [backup-simplify]: Simplify 1 into 1 24.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.905 * [backup-simplify]: Simplify (+ 0 0) into 0 24.907 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 24.907 * [backup-simplify]: Simplify -1/2 into -1/2 24.907 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 24.907 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 24.907 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 24.907 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 24.907 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 24.907 * [taylor]: Taking taylor expansion of 1 in N 24.907 * [backup-simplify]: Simplify 1 into 1 24.907 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.907 * [taylor]: Taking taylor expansion of N in N 24.907 * [backup-simplify]: Simplify 0 into 0 24.907 * [backup-simplify]: Simplify 1 into 1 24.908 * [backup-simplify]: Simplify (/ 1 1) into 1 24.908 * [backup-simplify]: Simplify (- 1) into -1 24.908 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.908 * [backup-simplify]: Simplify (log -1) into (log -1) 24.908 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 24.908 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 24.908 * [taylor]: Taking taylor expansion of 1 in N 24.909 * [backup-simplify]: Simplify 1 into 1 24.909 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.909 * [taylor]: Taking taylor expansion of N in N 24.909 * [backup-simplify]: Simplify 0 into 0 24.909 * [backup-simplify]: Simplify 1 into 1 24.909 * [backup-simplify]: Simplify (/ 1 1) into 1 24.909 * [backup-simplify]: Simplify (- 1) into -1 24.909 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.910 * [backup-simplify]: Simplify (log -1) into (log -1) 24.910 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 24.910 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 24.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.911 * [backup-simplify]: Simplify (- 0) into 0 24.911 * [backup-simplify]: Simplify (+ 1 0) into 1 24.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 24.912 * [backup-simplify]: Simplify -1 into -1 24.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.913 * [backup-simplify]: Simplify (- 0) into 0 24.913 * [backup-simplify]: Simplify (+ 0 0) into 0 24.915 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 24.915 * [backup-simplify]: Simplify -1/2 into -1/2 24.919 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 24.919 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 24.920 * [backup-simplify]: Simplify (exp (log (log (+ N 1)))) into (log (+ N 1)) 24.920 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 24.920 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 24.920 * [taylor]: Taking taylor expansion of (+ N 1) in N 24.920 * [taylor]: Taking taylor expansion of N in N 24.920 * [backup-simplify]: Simplify 0 into 0 24.920 * [backup-simplify]: Simplify 1 into 1 24.920 * [taylor]: Taking taylor expansion of 1 in N 24.920 * [backup-simplify]: Simplify 1 into 1 24.920 * [backup-simplify]: Simplify (+ 0 1) into 1 24.920 * [backup-simplify]: Simplify (log 1) into 0 24.920 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 24.921 * [taylor]: Taking taylor expansion of (+ N 1) in N 24.921 * [taylor]: Taking taylor expansion of N in N 24.921 * [backup-simplify]: Simplify 0 into 0 24.921 * [backup-simplify]: Simplify 1 into 1 24.921 * [taylor]: Taking taylor expansion of 1 in N 24.921 * [backup-simplify]: Simplify 1 into 1 24.921 * [backup-simplify]: Simplify (+ 0 1) into 1 24.921 * [backup-simplify]: Simplify (log 1) into 0 24.921 * [backup-simplify]: Simplify 0 into 0 24.922 * [backup-simplify]: Simplify (+ 1 0) into 1 24.922 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 24.922 * [backup-simplify]: Simplify 1 into 1 24.923 * [backup-simplify]: Simplify (+ 0 0) into 0 24.926 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 24.926 * [backup-simplify]: Simplify -1/2 into -1/2 24.926 * [backup-simplify]: Simplify (+ 0 0) into 0 24.931 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 24.931 * [backup-simplify]: Simplify 1/3 into 1/3 24.931 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 24.931 * [backup-simplify]: Simplify (exp (log (log (+ (/ 1 N) 1)))) into (log (+ (/ 1 N) 1)) 24.931 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 24.932 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 24.932 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 24.932 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.932 * [taylor]: Taking taylor expansion of N in N 24.932 * [backup-simplify]: Simplify 0 into 0 24.932 * [backup-simplify]: Simplify 1 into 1 24.932 * [backup-simplify]: Simplify (/ 1 1) into 1 24.932 * [taylor]: Taking taylor expansion of 1 in N 24.932 * [backup-simplify]: Simplify 1 into 1 24.933 * [backup-simplify]: Simplify (+ 1 0) into 1 24.933 * [backup-simplify]: Simplify (log 1) into 0 24.933 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 24.933 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 24.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.933 * [taylor]: Taking taylor expansion of N in N 24.933 * [backup-simplify]: Simplify 0 into 0 24.933 * [backup-simplify]: Simplify 1 into 1 24.933 * [backup-simplify]: Simplify (/ 1 1) into 1 24.933 * [taylor]: Taking taylor expansion of 1 in N 24.934 * [backup-simplify]: Simplify 1 into 1 24.934 * [backup-simplify]: Simplify (+ 1 0) into 1 24.934 * [backup-simplify]: Simplify (log 1) into 0 24.935 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 24.935 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 24.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.936 * [backup-simplify]: Simplify (+ 0 1) into 1 24.937 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 24.937 * [backup-simplify]: Simplify 1 into 1 24.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.939 * [backup-simplify]: Simplify (+ 0 0) into 0 24.941 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 24.941 * [backup-simplify]: Simplify -1/2 into -1/2 24.942 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 24.942 * [backup-simplify]: Simplify (exp (log (log (+ (/ 1 (- N)) 1)))) into (log (- 1 (/ 1 N))) 24.942 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 24.942 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 24.942 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 24.942 * [taylor]: Taking taylor expansion of 1 in N 24.942 * [backup-simplify]: Simplify 1 into 1 24.942 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.942 * [taylor]: Taking taylor expansion of N in N 24.942 * [backup-simplify]: Simplify 0 into 0 24.942 * [backup-simplify]: Simplify 1 into 1 24.942 * [backup-simplify]: Simplify (/ 1 1) into 1 24.943 * [backup-simplify]: Simplify (- 1) into -1 24.943 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.944 * [backup-simplify]: Simplify (log -1) into (log -1) 24.944 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 24.944 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 24.944 * [taylor]: Taking taylor expansion of 1 in N 24.944 * [backup-simplify]: Simplify 1 into 1 24.944 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.944 * [taylor]: Taking taylor expansion of N in N 24.944 * [backup-simplify]: Simplify 0 into 0 24.944 * [backup-simplify]: Simplify 1 into 1 24.944 * [backup-simplify]: Simplify (/ 1 1) into 1 24.944 * [backup-simplify]: Simplify (- 1) into -1 24.945 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.945 * [backup-simplify]: Simplify (log -1) into (log -1) 24.946 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 24.947 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 24.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.948 * [backup-simplify]: Simplify (- 0) into 0 24.948 * [backup-simplify]: Simplify (+ 1 0) into 1 24.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 24.950 * [backup-simplify]: Simplify -1 into -1 24.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.951 * [backup-simplify]: Simplify (- 0) into 0 24.951 * [backup-simplify]: Simplify (+ 0 0) into 0 24.954 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 24.954 * [backup-simplify]: Simplify -1/2 into -1/2 24.955 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 24.955 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 24.955 * [backup-simplify]: Simplify (log (log (+ N 1))) into (log (log (+ N 1))) 24.955 * [approximate]: Taking taylor expansion of (log (log (+ N 1))) in (N) around 0 24.955 * [taylor]: Taking taylor expansion of (log (log (+ N 1))) in N 24.955 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 24.955 * [taylor]: Taking taylor expansion of (+ N 1) in N 24.955 * [taylor]: Taking taylor expansion of N in N 24.955 * [backup-simplify]: Simplify 0 into 0 24.955 * [backup-simplify]: Simplify 1 into 1 24.955 * [taylor]: Taking taylor expansion of 1 in N 24.955 * [backup-simplify]: Simplify 1 into 1 24.956 * [backup-simplify]: Simplify (+ 0 1) into 1 24.956 * [backup-simplify]: Simplify (log 1) into 0 24.957 * [backup-simplify]: Simplify (+ 1 0) into 1 24.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 24.958 * [backup-simplify]: Simplify (log 1) into 0 24.958 * [taylor]: Taking taylor expansion of (log (log (+ N 1))) in N 24.958 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 24.958 * [taylor]: Taking taylor expansion of (+ N 1) in N 24.958 * [taylor]: Taking taylor expansion of N in N 24.958 * [backup-simplify]: Simplify 0 into 0 24.958 * [backup-simplify]: Simplify 1 into 1 24.958 * [taylor]: Taking taylor expansion of 1 in N 24.959 * [backup-simplify]: Simplify 1 into 1 24.959 * [backup-simplify]: Simplify (+ 0 1) into 1 24.959 * [backup-simplify]: Simplify (log 1) into 0 24.960 * [backup-simplify]: Simplify (+ 1 0) into 1 24.961 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 24.961 * [backup-simplify]: Simplify (log 1) into 0 24.962 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 24.962 * [backup-simplify]: Simplify (log N) into (log N) 24.962 * [backup-simplify]: Simplify (+ 0 0) into 0 24.966 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 24.967 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 24.967 * [backup-simplify]: Simplify -1/2 into -1/2 24.967 * [backup-simplify]: Simplify (+ 0 0) into 0 24.972 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 24.975 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 24.976 * [backup-simplify]: Simplify 5/24 into 5/24 24.976 * [backup-simplify]: Simplify (+ (* 5/24 (pow N 2)) (+ (* -1/2 N) (log N))) into (- (+ (log N) (* 5/24 (pow N 2))) (* 1/2 N)) 24.976 * [backup-simplify]: Simplify (log (log (+ (/ 1 N) 1))) into (log (log (+ (/ 1 N) 1))) 24.976 * [approximate]: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in (N) around 0 24.976 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N 24.976 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 24.976 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 24.976 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.976 * [taylor]: Taking taylor expansion of N in N 24.976 * [backup-simplify]: Simplify 0 into 0 24.976 * [backup-simplify]: Simplify 1 into 1 24.977 * [backup-simplify]: Simplify (/ 1 1) into 1 24.977 * [taylor]: Taking taylor expansion of 1 in N 24.977 * [backup-simplify]: Simplify 1 into 1 24.977 * [backup-simplify]: Simplify (+ 1 0) into 1 24.978 * [backup-simplify]: Simplify (log 1) into 0 24.978 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 24.979 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 24.979 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 24.979 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N 24.979 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 24.979 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 24.979 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.979 * [taylor]: Taking taylor expansion of N in N 24.979 * [backup-simplify]: Simplify 0 into 0 24.979 * [backup-simplify]: Simplify 1 into 1 24.979 * [backup-simplify]: Simplify (/ 1 1) into 1 24.979 * [taylor]: Taking taylor expansion of 1 in N 24.979 * [backup-simplify]: Simplify 1 into 1 24.980 * [backup-simplify]: Simplify (+ 1 0) into 1 24.980 * [backup-simplify]: Simplify (log 1) into 0 24.980 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 24.981 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 24.981 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 24.981 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 24.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.983 * [backup-simplify]: Simplify (+ 0 1) into 1 24.984 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 24.984 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 24.985 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) 24.985 * [backup-simplify]: Simplify (/ -1 (log N)) into (/ -1 (log N)) 24.986 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 24.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.987 * [backup-simplify]: Simplify (+ 0 0) into 0 24.989 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 24.990 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 24.991 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 24.992 * [backup-simplify]: Simplify (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 24.992 * [backup-simplify]: Simplify (+ (* (* 1/2 (- (/ 1 (log (/ 1 N))) (/ 1 (pow (log (/ 1 N)) 2)))) (pow (/ 1 N) 2)) (+ (* (/ -1 (log (/ 1 N))) (/ 1 N)) (log (- (log (/ 1 N)))))) into (- (+ (* 1/2 (/ 1 (* (log (/ 1 N)) (pow N 2)))) (log (- (log (/ 1 N))))) (+ (* 1/2 (/ 1 (* (pow (log (/ 1 N)) 2) (pow N 2)))) (/ 1 (* (log (/ 1 N)) N)))) 24.993 * [backup-simplify]: Simplify (log (log (+ (/ 1 (- N)) 1))) into (log (log (- 1 (/ 1 N)))) 24.993 * [approximate]: Taking taylor expansion of (log (log (- 1 (/ 1 N)))) in (N) around 0 24.993 * [taylor]: Taking taylor expansion of (log (log (- 1 (/ 1 N)))) in N 24.993 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 24.993 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 24.993 * [taylor]: Taking taylor expansion of 1 in N 24.993 * [backup-simplify]: Simplify 1 into 1 24.993 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.993 * [taylor]: Taking taylor expansion of N in N 24.993 * [backup-simplify]: Simplify 0 into 0 24.993 * [backup-simplify]: Simplify 1 into 1 24.993 * [backup-simplify]: Simplify (/ 1 1) into 1 24.994 * [backup-simplify]: Simplify (- 1) into -1 24.994 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.994 * [backup-simplify]: Simplify (log -1) into (log -1) 24.995 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 24.996 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 24.996 * [backup-simplify]: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 24.996 * [taylor]: Taking taylor expansion of (log (log (- 1 (/ 1 N)))) in N 24.996 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 24.996 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 24.996 * [taylor]: Taking taylor expansion of 1 in N 24.996 * [backup-simplify]: Simplify 1 into 1 24.997 * [taylor]: Taking taylor expansion of (/ 1 N) in N 24.997 * [taylor]: Taking taylor expansion of N in N 24.997 * [backup-simplify]: Simplify 0 into 0 24.997 * [backup-simplify]: Simplify 1 into 1 24.997 * [backup-simplify]: Simplify (/ 1 1) into 1 24.997 * [backup-simplify]: Simplify (- 1) into -1 24.998 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.998 * [backup-simplify]: Simplify (log -1) into (log -1) 24.999 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 25.000 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 25.000 * [backup-simplify]: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 25.000 * [backup-simplify]: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 25.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 25.002 * [backup-simplify]: Simplify (- 0) into 0 25.002 * [backup-simplify]: Simplify (+ 1 0) into 1 25.003 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 25.004 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 25.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) 25.006 * [backup-simplify]: Simplify (/ -1 (- (log -1) (log N))) into (/ -1 (- (log -1) (log N))) 25.007 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 25.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.008 * [backup-simplify]: Simplify (- 0) into 0 25.008 * [backup-simplify]: Simplify (+ 0 0) into 0 25.011 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 25.012 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 25.014 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N))))) 25.015 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N))))) into (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N))))) 25.017 * [backup-simplify]: Simplify (+ (* (* -1/2 (+ (/ 1 (pow (- (log -1) (log (/ 1 (- N)))) 2)) (/ 1 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (/ -1 (- (log -1) (log (/ 1 (- N))))) (/ 1 (- N))) (log (- (log -1) (log (/ 1 (- N))))))) into (- (+ (/ 1 (* (- (log -1) (log (/ -1 N))) N)) (log (- (log -1) (log (/ -1 N))))) (+ (* 1/2 (/ 1 (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (* 1/2 (/ 1 (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))))) 25.017 * * * [progress]: simplifying candidates 25.017 * * * * [progress]: [ 1 / 79 ] simplifiying candidate # 25.018 * [simplify]: Simplifying (/ (exp (exp (log (log (+ N 1))))) N) 25.018 * * [simplify]: iters left: 6 (8 enodes) 25.022 * * [simplify]: iters left: 5 (25 enodes) 25.029 * * [simplify]: iters left: 4 (27 enodes) 25.037 * * [simplify]: Extracting #0: cost 1 inf + 0 25.037 * * [simplify]: Extracting #1: cost 4 inf + 0 25.037 * * [simplify]: Extracting #2: cost 6 inf + 1 25.037 * * [simplify]: Extracting #3: cost 5 inf + 126 25.037 * * [simplify]: Extracting #4: cost 2 inf + 544 25.037 * * [simplify]: Extracting #5: cost 0 inf + 838 25.038 * [simplify]: Simplified to (/ (+ 1 N) N) 25.038 * [simplify]: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) 25.038 * * * * [progress]: [ 2 / 79 ] simplifiying candidate # 25.038 * * * * [progress]: [ 3 / 79 ] simplifiying candidate # 25.038 * * * * [progress]: [ 4 / 79 ] simplifiying candidate # 25.038 * * * * [progress]: [ 5 / 79 ] simplifiying candidate # 25.038 * * * * [progress]: [ 6 / 79 ] simplifiying candidate # 25.038 * * * * [progress]: [ 7 / 79 ] simplifiying candidate # 25.038 * * * * [progress]: [ 8 / 79 ] simplifiying candidate # 25.038 * * * * [progress]: [ 9 / 79 ] simplifiying candidate # 25.038 * * * * [progress]: [ 10 / 79 ] simplifiying candidate # 25.038 * * * * [progress]: [ 11 / 79 ] simplifiying candidate # 25.038 * * * * [progress]: [ 12 / 79 ] simplifiying candidate # 25.039 * [simplify]: Simplifying (+ (exp (log (sqrt (log (+ N 1))))) (sqrt (log N))) 25.039 * * [simplify]: iters left: 6 (10 enodes) 25.043 * * [simplify]: iters left: 5 (32 enodes) 25.049 * * [simplify]: iters left: 4 (34 enodes) 25.054 * * [simplify]: Extracting #0: cost 1 inf + 0 25.054 * * [simplify]: Extracting #1: cost 4 inf + 0 25.054 * * [simplify]: Extracting #2: cost 9 inf + 0 25.054 * * [simplify]: Extracting #3: cost 14 inf + 0 25.054 * * [simplify]: Extracting #4: cost 15 inf + 1 25.054 * * [simplify]: Extracting #5: cost 13 inf + 73 25.054 * * [simplify]: Extracting #6: cost 7 inf + 562 25.055 * * [simplify]: Extracting #7: cost 1 inf + 1804 25.055 * * [simplify]: Extracting #8: cost 0 inf + 2026 25.055 * [simplify]: Simplified to (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) 25.055 * [simplify]: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (exp (log (sqrt (log (+ N 1))))) (sqrt (log N))))) 25.055 * [simplify]: Simplifying (- (exp (log (sqrt (log (+ N 1))))) (sqrt (log N))) 25.056 * * [simplify]: iters left: 6 (10 enodes) 25.061 * * [simplify]: iters left: 5 (33 enodes) 25.066 * * [simplify]: iters left: 4 (38 enodes) 25.071 * * [simplify]: Extracting #0: cost 1 inf + 0 25.072 * * [simplify]: Extracting #1: cost 5 inf + 0 25.072 * * [simplify]: Extracting #2: cost 11 inf + 0 25.072 * * [simplify]: Extracting #3: cost 16 inf + 0 25.072 * * [simplify]: Extracting #4: cost 17 inf + 1 25.072 * * [simplify]: Extracting #5: cost 14 inf + 144 25.072 * * [simplify]: Extracting #6: cost 7 inf + 864 25.072 * * [simplify]: Extracting #7: cost 1 inf + 2106 25.073 * * [simplify]: Extracting #8: cost 0 inf + 2328 25.073 * [simplify]: Simplified to (- (sqrt (log (+ 1 N))) (sqrt (log N))) 25.073 * [simplify]: Simplified (2 2) to (λ (N) (* (+ (exp (log (sqrt (log (+ N 1))))) (sqrt (log N))) (- (sqrt (log (+ 1 N))) (sqrt (log N))))) 25.073 * * * * [progress]: [ 13 / 79 ] simplifiying candidate # 25.073 * [simplify]: Simplifying (+ (sqrt (exp (log (log (+ N 1))))) (sqrt (log N))) 25.073 * * [simplify]: iters left: 6 (10 enodes) 25.078 * * [simplify]: iters left: 5 (32 enodes) 25.087 * * [simplify]: iters left: 4 (34 enodes) 25.096 * * [simplify]: Extracting #0: cost 1 inf + 0 25.096 * * [simplify]: Extracting #1: cost 4 inf + 0 25.097 * * [simplify]: Extracting #2: cost 8 inf + 0 25.097 * * [simplify]: Extracting #3: cost 13 inf + 0 25.097 * * [simplify]: Extracting #4: cost 15 inf + 1 25.097 * * [simplify]: Extracting #5: cost 13 inf + 73 25.097 * * [simplify]: Extracting #6: cost 7 inf + 562 25.097 * * [simplify]: Extracting #7: cost 0 inf + 1946 25.098 * [simplify]: Simplified to (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) 25.098 * [simplify]: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (sqrt (exp (log (log (+ N 1))))) (sqrt (log N))))) 25.098 * [simplify]: Simplifying (- (sqrt (exp (log (log (+ N 1))))) (sqrt (log N))) 25.099 * * [simplify]: iters left: 6 (10 enodes) 25.103 * * [simplify]: iters left: 5 (33 enodes) 25.112 * * [simplify]: iters left: 4 (38 enodes) 25.120 * * [simplify]: Extracting #0: cost 1 inf + 0 25.121 * * [simplify]: Extracting #1: cost 5 inf + 0 25.121 * * [simplify]: Extracting #2: cost 10 inf + 0 25.121 * * [simplify]: Extracting #3: cost 15 inf + 0 25.121 * * [simplify]: Extracting #4: cost 17 inf + 1 25.121 * * [simplify]: Extracting #5: cost 14 inf + 144 25.121 * * [simplify]: Extracting #6: cost 7 inf + 864 25.121 * * [simplify]: Extracting #7: cost 0 inf + 2248 25.122 * [simplify]: Simplified to (- (sqrt (log (+ 1 N))) (sqrt (log N))) 25.122 * [simplify]: Simplified (2 2) to (λ (N) (* (+ (sqrt (exp (log (log (+ N 1))))) (sqrt (log N))) (- (sqrt (log (+ 1 N))) (sqrt (log N))))) 25.122 * * * * [progress]: [ 14 / 79 ] simplifiying candidate # 25.122 * [simplify]: Simplifying (- (exp (log (log (+ N 1)))) (log N)) 25.122 * * [simplify]: iters left: 6 (8 enodes) 25.124 * * [simplify]: iters left: 5 (27 enodes) 25.128 * * [simplify]: iters left: 4 (32 enodes) 25.132 * * [simplify]: Extracting #0: cost 1 inf + 0 25.132 * * [simplify]: Extracting #1: cost 5 inf + 0 25.132 * * [simplify]: Extracting #2: cost 11 inf + 0 25.133 * * [simplify]: Extracting #3: cost 13 inf + 1 25.133 * * [simplify]: Extracting #4: cost 8 inf + 366 25.133 * * [simplify]: Extracting #5: cost 4 inf + 784 25.133 * * [simplify]: Extracting #6: cost 0 inf + 1482 25.133 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 25.133 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) 25.133 * * * * [progress]: [ 15 / 79 ] simplifiying candidate # 25.134 * [simplify]: Simplifying (- (exp (log (log (+ N 1)))) (log N)) 25.134 * * [simplify]: iters left: 6 (8 enodes) 25.136 * * [simplify]: iters left: 5 (27 enodes) 25.140 * * [simplify]: iters left: 4 (32 enodes) 25.144 * * [simplify]: Extracting #0: cost 1 inf + 0 25.144 * * [simplify]: Extracting #1: cost 5 inf + 0 25.144 * * [simplify]: Extracting #2: cost 11 inf + 0 25.144 * * [simplify]: Extracting #3: cost 13 inf + 1 25.144 * * [simplify]: Extracting #4: cost 8 inf + 366 25.145 * * [simplify]: Extracting #5: cost 4 inf + 784 25.145 * * [simplify]: Extracting #6: cost 0 inf + 1482 25.145 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 25.145 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) 25.145 * * * * [progress]: [ 16 / 79 ] simplifiying candidate # 25.145 * [simplify]: Simplifying (log (cbrt N)) 25.146 * * [simplify]: iters left: 2 (3 enodes) 25.146 * * [simplify]: iters left: 1 (9 enodes) 25.149 * * [simplify]: Extracting #0: cost 1 inf + 0 25.149 * * [simplify]: Extracting #1: cost 3 inf + 0 25.149 * * [simplify]: Extracting #2: cost 5 inf + 0 25.149 * * [simplify]: Extracting #3: cost 4 inf + 1 25.149 * * [simplify]: Extracting #4: cost 0 inf + 465 25.149 * [simplify]: Simplified to (log (cbrt N)) 25.149 * [simplify]: Simplified (2 2) to (λ (N) (- (- (exp (log (log (+ N 1)))) (log (* (cbrt N) (cbrt N)))) (log (cbrt N)))) 25.149 * * * * [progress]: [ 17 / 79 ] simplifiying candidate # 25.149 * [simplify]: Simplifying (log (sqrt N)) 25.150 * * [simplify]: iters left: 2 (3 enodes) 25.151 * * [simplify]: iters left: 1 (9 enodes) 25.153 * * [simplify]: Extracting #0: cost 1 inf + 0 25.153 * * [simplify]: Extracting #1: cost 3 inf + 0 25.153 * * [simplify]: Extracting #2: cost 5 inf + 0 25.153 * * [simplify]: Extracting #3: cost 4 inf + 1 25.153 * * [simplify]: Extracting #4: cost 0 inf + 305 25.153 * [simplify]: Simplified to (log (sqrt N)) 25.154 * [simplify]: Simplified (2 2) to (λ (N) (- (- (exp (log (log (+ N 1)))) (log (sqrt N))) (log (sqrt N)))) 25.154 * * * * [progress]: [ 18 / 79 ] simplifiying candidate # 25.154 * [simplify]: Simplifying (log N) 25.154 * * [simplify]: iters left: 1 (2 enodes) 25.155 * * [simplify]: Extracting #0: cost 1 inf + 0 25.155 * * [simplify]: Extracting #1: cost 3 inf + 0 25.155 * * [simplify]: Extracting #2: cost 2 inf + 1 25.155 * * [simplify]: Extracting #3: cost 0 inf + 143 25.155 * [simplify]: Simplified to (log N) 25.155 * [simplify]: Simplified (2 2) to (λ (N) (- (- (exp (log (log (+ N 1)))) (log 1)) (log N))) 25.155 * * * * [progress]: [ 19 / 79 ] simplifiying candidate # 25.155 * * * * [progress]: [ 20 / 79 ] simplifiying candidate #real (real->posit16 (- (exp (log (log (+ N 1)))) (log N)))))> 25.155 * * * * [progress]: [ 21 / 79 ] simplifiying candidate # 25.156 * [simplify]: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 25.156 * * [simplify]: iters left: 6 (6 enodes) 25.159 * * [simplify]: iters left: 5 (23 enodes) 25.166 * * [simplify]: iters left: 4 (27 enodes) 25.174 * * [simplify]: Extracting #0: cost 1 inf + 0 25.174 * * [simplify]: Extracting #1: cost 4 inf + 0 25.174 * * [simplify]: Extracting #2: cost 7 inf + 0 25.174 * * [simplify]: Extracting #3: cost 9 inf + 0 25.174 * * [simplify]: Extracting #4: cost 12 inf + 0 25.174 * * [simplify]: Extracting #5: cost 10 inf + 2 25.174 * * [simplify]: Extracting #6: cost 8 inf + 86 25.175 * * [simplify]: Extracting #7: cost 1 inf + 1270 25.175 * * [simplify]: Extracting #8: cost 0 inf + 1502 25.176 * [simplify]: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 25.176 * [simplify]: Simplified (2 1 1 1 1) to (λ (N) (- (exp (log (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ N 1)))))) (log N))) 25.176 * * * * [progress]: [ 22 / 79 ] simplifiying candidate # 25.176 * [simplify]: Simplifying (log (sqrt (+ N 1))) 25.176 * * [simplify]: iters left: 4 (5 enodes) 25.179 * * [simplify]: iters left: 3 (18 enodes) 25.187 * * [simplify]: iters left: 2 (20 enodes) 25.193 * * [simplify]: Extracting #0: cost 1 inf + 0 25.193 * * [simplify]: Extracting #1: cost 3 inf + 0 25.193 * * [simplify]: Extracting #2: cost 5 inf + 0 25.193 * * [simplify]: Extracting #3: cost 8 inf + 0 25.193 * * [simplify]: Extracting #4: cost 6 inf + 2 25.193 * * [simplify]: Extracting #5: cost 0 inf + 554 25.193 * [simplify]: Simplified to (log (sqrt (+ 1 N))) 25.194 * [simplify]: Simplified (2 1 1 1 1) to (λ (N) (- (exp (log (+ (log (sqrt (+ 1 N))) (log (sqrt (+ N 1)))))) (log N))) 25.194 * * * * [progress]: [ 23 / 79 ] simplifiying candidate # 25.194 * [simplify]: Simplifying (log 1) 25.194 * * [simplify]: iters left: 1 (2 enodes) 25.197 * * [simplify]: Extracting #0: cost 1 inf + 0 25.197 * * [simplify]: Extracting #1: cost 0 inf + 1 25.197 * [simplify]: Simplified to 0 25.197 * [simplify]: Simplified (2 1 1 1 1) to (λ (N) (- (exp (log (+ 0 (log (+ N 1))))) (log N))) 25.197 * * * * [progress]: [ 24 / 79 ] simplifiying candidate # 25.197 * [simplify]: Simplifying (log 1) 25.197 * * [simplify]: iters left: 1 (2 enodes) 25.200 * * [simplify]: Extracting #0: cost 1 inf + 0 25.200 * * [simplify]: Extracting #1: cost 0 inf + 1 25.200 * [simplify]: Simplified to 0 25.200 * [simplify]: Simplified (2 1 1 1 1) to (λ (N) (- (exp (log (+ 0 (log (+ N 1))))) (log N))) 25.200 * * * * [progress]: [ 25 / 79 ] simplifiying candidate # 25.200 * [simplify]: Simplifying (log (+ (pow N 3) (pow 1 3))) 25.200 * * [simplify]: iters left: 4 (7 enodes) 25.206 * * [simplify]: iters left: 3 (32 enodes) 25.218 * * [simplify]: iters left: 2 (50 enodes) 25.236 * * [simplify]: iters left: 1 (76 enodes) 25.262 * * [simplify]: Extracting #0: cost 1 inf + 0 25.262 * * [simplify]: Extracting #1: cost 3 inf + 0 25.263 * * [simplify]: Extracting #2: cost 6 inf + 0 25.263 * * [simplify]: Extracting #3: cost 13 inf + 1 25.263 * * [simplify]: Extracting #4: cost 19 inf + 3 25.263 * * [simplify]: Extracting #5: cost 11 inf + 1653 25.264 * * [simplify]: Extracting #6: cost 2 inf + 4395 25.264 * * [simplify]: Extracting #7: cost 0 inf + 4215 25.265 * [simplify]: Simplified to (log (+ 1 (* (* N N) N))) 25.265 * [simplify]: Simplified (2 1 1 1 1) to (λ (N) (- (exp (log (- (log (+ 1 (* (* N N) N))) (log (+ (* N N) (- (* 1 1) (* N 1))))))) (log N))) 25.265 * * * * [progress]: [ 26 / 79 ] simplifiying candidate # 25.266 * [simplify]: Simplifying (log (- (* N N) (* 1 1))) 25.266 * * [simplify]: iters left: 5 (6 enodes) 25.270 * * [simplify]: iters left: 4 (21 enodes) 25.277 * * [simplify]: iters left: 3 (28 enodes) 25.286 * * [simplify]: iters left: 2 (38 enodes) 25.292 * * [simplify]: iters left: 1 (59 enodes) 25.303 * * [simplify]: Extracting #0: cost 1 inf + 0 25.303 * * [simplify]: Extracting #1: cost 5 inf + 0 25.303 * * [simplify]: Extracting #2: cost 16 inf + 0 25.303 * * [simplify]: Extracting #3: cost 25 inf + 2 25.303 * * [simplify]: Extracting #4: cost 15 inf + 570 25.304 * * [simplify]: Extracting #5: cost 3 inf + 1563 25.304 * * [simplify]: Extracting #6: cost 0 inf + 1829 25.305 * [simplify]: Simplified to (log (+ -1 (* N N))) 25.305 * [simplify]: Simplified (2 1 1 1 1) to (λ (N) (- (exp (log (- (log (+ -1 (* N N))) (log (- N 1))))) (log N))) 25.305 * * * * [progress]: [ 27 / 79 ] simplifiying candidate # 25.305 * * * * [progress]: [ 28 / 79 ] simplifiying candidate # 25.305 * * * * [progress]: [ 29 / 79 ] simplifiying candidate # 25.305 * [simplify]: Simplifying (+ N 1) 25.305 * * [simplify]: iters left: 2 (3 enodes) 25.307 * * [simplify]: iters left: 1 (12 enodes) 25.309 * * [simplify]: Extracting #0: cost 1 inf + 0 25.309 * * [simplify]: Extracting #1: cost 4 inf + 0 25.309 * * [simplify]: Extracting #2: cost 2 inf + 2 25.309 * * [simplify]: Extracting #3: cost 0 inf + 86 25.309 * [simplify]: Simplified to (+ 1 N) 25.309 * [simplify]: Simplified (2 1 1 1 1) to (λ (N) (- (exp (log (log (+ 1 N)))) (log N))) 25.309 * * * * [progress]: [ 30 / 79 ] simplifiying candidate # 25.309 * * * * [progress]: [ 31 / 79 ] simplifiying candidate # 25.309 * * * * [progress]: [ 32 / 79 ] simplifiying candidate # 25.309 * * * * [progress]: [ 33 / 79 ] simplifiying candidate # 25.309 * * * * [progress]: [ 34 / 79 ] simplifiying candidate # 25.309 * * * * [progress]: [ 35 / 79 ] simplifiying candidate # 25.309 * * * * [progress]: [ 36 / 79 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))))) (log N)))> 25.309 * * * * [progress]: [ 37 / 79 ] simplifiying candidate # 25.309 * * * * [progress]: [ 38 / 79 ] simplifiying candidate # 25.309 * [simplify]: Simplifying (exp 1) 25.309 * * [simplify]: iters left: 1 (2 enodes) 25.310 * * [simplify]: Extracting #0: cost 1 inf + 0 25.310 * * [simplify]: Extracting #1: cost 0 inf + 1 25.310 * [simplify]: Simplified to E 25.310 * [simplify]: Simplified (2 1 1) to (λ (N) (- (pow E (log (log (+ N 1)))) (log N))) 25.311 * * * * [progress]: [ 39 / 79 ] simplifiying candidate # 25.311 * [simplify]: Simplifying (exp (* (cbrt (log (log (+ N 1)))) (cbrt (log (log (+ N 1)))))) 25.311 * * [simplify]: iters left: 6 (8 enodes) 25.315 * * [simplify]: iters left: 5 (29 enodes) 25.327 * * [simplify]: iters left: 4 (37 enodes) 25.338 * * [simplify]: iters left: 3 (48 enodes) 25.353 * * [simplify]: iters left: 2 (72 enodes) 25.375 * * [simplify]: iters left: 1 (124 enodes) 25.400 * * [simplify]: Extracting #0: cost 1 inf + 0 25.400 * * [simplify]: Extracting #1: cost 15 inf + 0 25.400 * * [simplify]: Extracting #2: cost 54 inf + 1 25.401 * * [simplify]: Extracting #3: cost 72 inf + 4 25.401 * * [simplify]: Extracting #4: cost 75 inf + 5 25.402 * * [simplify]: Extracting #5: cost 77 inf + 5 25.402 * * [simplify]: Extracting #6: cost 76 inf + 6 25.403 * * [simplify]: Extracting #7: cost 54 inf + 6152 25.408 * * [simplify]: Extracting #8: cost 18 inf + 22801 25.417 * * [simplify]: Extracting #9: cost 0 inf + 38483 25.426 * * [simplify]: Extracting #10: cost 0 inf + 38314 25.436 * [simplify]: Simplified to (exp (* (cbrt (log (log (+ 1 N)))) (cbrt (log (log (+ 1 N)))))) 25.436 * [simplify]: Simplified (2 1 1) to (λ (N) (- (pow (exp (* (cbrt (log (log (+ 1 N)))) (cbrt (log (log (+ 1 N)))))) (cbrt (log (log (+ N 1))))) (log N))) 25.436 * * * * [progress]: [ 40 / 79 ] simplifiying candidate # 25.437 * [simplify]: Simplifying (exp (sqrt (log (log (+ N 1))))) 25.437 * * [simplify]: iters left: 6 (7 enodes) 25.441 * * [simplify]: iters left: 5 (24 enodes) 25.447 * * [simplify]: iters left: 4 (26 enodes) 25.453 * * [simplify]: Extracting #0: cost 1 inf + 0 25.453 * * [simplify]: Extracting #1: cost 3 inf + 0 25.453 * * [simplify]: Extracting #2: cost 5 inf + 0 25.453 * * [simplify]: Extracting #3: cost 7 inf + 0 25.453 * * [simplify]: Extracting #4: cost 9 inf + 0 25.453 * * [simplify]: Extracting #5: cost 12 inf + 0 25.453 * * [simplify]: Extracting #6: cost 10 inf + 2 25.453 * * [simplify]: Extracting #7: cost 6 inf + 310 25.454 * * [simplify]: Extracting #8: cost 2 inf + 1188 25.454 * * [simplify]: Extracting #9: cost 0 inf + 1702 25.454 * [simplify]: Simplified to (exp (sqrt (log (log (+ 1 N))))) 25.454 * [simplify]: Simplified (2 1 1) to (λ (N) (- (pow (exp (sqrt (log (log (+ 1 N))))) (sqrt (log (log (+ N 1))))) (log N))) 25.454 * * * * [progress]: [ 41 / 79 ] simplifiying candidate # 25.454 * [simplify]: Simplifying (exp 1) 25.454 * * [simplify]: iters left: 1 (2 enodes) 25.455 * * [simplify]: Extracting #0: cost 1 inf + 0 25.455 * * [simplify]: Extracting #1: cost 0 inf + 1 25.455 * [simplify]: Simplified to E 25.455 * [simplify]: Simplified (2 1 1) to (λ (N) (- (pow E (log (log (+ N 1)))) (log N))) 25.455 * * * * [progress]: [ 42 / 79 ] simplifiying candidate # 25.456 * [simplify]: Simplifying (exp (log 1)) 25.456 * * [simplify]: iters left: 2 (3 enodes) 25.457 * * [simplify]: iters left: 1 (9 enodes) 25.459 * * [simplify]: Extracting #0: cost 1 inf + 0 25.459 * * [simplify]: Extracting #1: cost 0 inf + 1 25.459 * [simplify]: Simplified to 1 25.459 * [simplify]: Simplified (2 1 1) to (λ (N) (- (* 1 (exp (log (log (+ N 1))))) (log N))) 25.459 * * * * [progress]: [ 43 / 79 ] simplifiying candidate # 25.459 * [simplify]: Simplifying (exp (log (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))))) 25.459 * * [simplify]: iters left: 6 (8 enodes) 25.461 * * [simplify]: iters left: 5 (27 enodes) 25.465 * * [simplify]: iters left: 4 (33 enodes) 25.470 * * [simplify]: Extracting #0: cost 1 inf + 0 25.470 * * [simplify]: Extracting #1: cost 4 inf + 0 25.470 * * [simplify]: Extracting #2: cost 8 inf + 0 25.470 * * [simplify]: Extracting #3: cost 11 inf + 0 25.470 * * [simplify]: Extracting #4: cost 14 inf + 0 25.470 * * [simplify]: Extracting #5: cost 12 inf + 2 25.470 * * [simplify]: Extracting #6: cost 9 inf + 198 25.471 * * [simplify]: Extracting #7: cost 3 inf + 1450 25.471 * * [simplify]: Extracting #8: cost 0 inf + 2286 25.471 * [simplify]: Simplified to (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) 25.471 * [simplify]: Simplified (2 1 1) to (λ (N) (- (* (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (exp (log (cbrt (log (+ N 1)))))) (log N))) 25.471 * * * * [progress]: [ 44 / 79 ] simplifiying candidate # 25.471 * [simplify]: Simplifying (exp (log (sqrt (log (+ N 1))))) 25.472 * * [simplify]: iters left: 6 (7 enodes) 25.473 * * [simplify]: iters left: 5 (22 enodes) 25.476 * * [simplify]: iters left: 4 (24 enodes) 25.480 * * [simplify]: Extracting #0: cost 1 inf + 0 25.480 * * [simplify]: Extracting #1: cost 4 inf + 0 25.480 * * [simplify]: Extracting #2: cost 7 inf + 0 25.480 * * [simplify]: Extracting #3: cost 10 inf + 0 25.480 * * [simplify]: Extracting #4: cost 8 inf + 2 25.480 * * [simplify]: Extracting #5: cost 3 inf + 462 25.480 * * [simplify]: Extracting #6: cost 0 inf + 1058 25.480 * [simplify]: Simplified to (sqrt (log (+ 1 N))) 25.480 * [simplify]: Simplified (2 1 1) to (λ (N) (- (* (sqrt (log (+ 1 N))) (exp (log (sqrt (log (+ N 1)))))) (log N))) 25.480 * * * * [progress]: [ 45 / 79 ] simplifiying candidate # 25.481 * [simplify]: Simplifying (exp (log 1)) 25.481 * * [simplify]: iters left: 2 (3 enodes) 25.482 * * [simplify]: iters left: 1 (9 enodes) 25.484 * * [simplify]: Extracting #0: cost 1 inf + 0 25.484 * * [simplify]: Extracting #1: cost 0 inf + 1 25.484 * [simplify]: Simplified to 1 25.484 * [simplify]: Simplified (2 1 1) to (λ (N) (- (* 1 (exp (log (log (+ N 1))))) (log N))) 25.484 * * * * [progress]: [ 46 / 79 ] simplifiying candidate # 25.485 * [simplify]: Simplifying (+ N 1) 25.485 * * [simplify]: iters left: 2 (3 enodes) 25.487 * * [simplify]: iters left: 1 (12 enodes) 25.490 * * [simplify]: Extracting #0: cost 1 inf + 0 25.490 * * [simplify]: Extracting #1: cost 4 inf + 0 25.490 * * [simplify]: Extracting #2: cost 2 inf + 2 25.490 * * [simplify]: Extracting #3: cost 0 inf + 86 25.490 * [simplify]: Simplified to (+ 1 N) 25.490 * [simplify]: Simplified (2 1 1) to (λ (N) (- (log (+ 1 N)) (log N))) 25.490 * * * * [progress]: [ 47 / 79 ] simplifiying candidate # 25.491 * * * * [progress]: [ 48 / 79 ] simplifiying candidate # 25.491 * * * * [progress]: [ 49 / 79 ] simplifiying candidate # 25.491 * * * * [progress]: [ 50 / 79 ] simplifiying candidate # 25.491 * * * * [progress]: [ 51 / 79 ] simplifiying candidate # 25.491 * * * * [progress]: [ 52 / 79 ] simplifiying candidate # 25.491 * * * * [progress]: [ 53 / 79 ] simplifiying candidate #real (real->posit16 (exp (log (log (+ N 1)))))) (log N)))> 25.491 * * * * [progress]: [ 54 / 79 ] simplifiying candidate # 25.491 * [simplify]: Simplifying (log 1) 25.491 * * [simplify]: iters left: 1 (2 enodes) 25.493 * * [simplify]: Extracting #0: cost 1 inf + 0 25.493 * * [simplify]: Extracting #1: cost 0 inf + 1 25.493 * [simplify]: Simplified to 0 25.493 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (exp (+ 0 (log (log (+ N 1))))) (log N))) 25.494 * * * * [progress]: [ 55 / 79 ] simplifiying candidate # 25.494 * [simplify]: Simplifying (log (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1))))) 25.494 * * [simplify]: iters left: 6 (7 enodes) 25.498 * * [simplify]: iters left: 5 (26 enodes) 25.506 * * [simplify]: iters left: 4 (30 enodes) 25.515 * * [simplify]: Extracting #0: cost 1 inf + 0 25.515 * * [simplify]: Extracting #1: cost 4 inf + 0 25.515 * * [simplify]: Extracting #2: cost 7 inf + 0 25.515 * * [simplify]: Extracting #3: cost 9 inf + 0 25.515 * * [simplify]: Extracting #4: cost 11 inf + 0 25.515 * * [simplify]: Extracting #5: cost 14 inf + 0 25.515 * * [simplify]: Extracting #6: cost 12 inf + 2 25.515 * * [simplify]: Extracting #7: cost 8 inf + 310 25.515 * * [simplify]: Extracting #8: cost 4 inf + 1258 25.516 * * [simplify]: Extracting #9: cost 1 inf + 1984 25.516 * * [simplify]: Extracting #10: cost 0 inf + 2286 25.517 * [simplify]: Simplified to (log (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N))))) 25.517 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (exp (+ (log (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N))))) (log (cbrt (log (+ N 1)))))) (log N))) 25.517 * * * * [progress]: [ 56 / 79 ] simplifiying candidate # 25.518 * [simplify]: Simplifying (log (sqrt (log (+ N 1)))) 25.518 * * [simplify]: iters left: 5 (6 enodes) 25.521 * * [simplify]: iters left: 4 (21 enodes) 25.527 * * [simplify]: iters left: 3 (23 enodes) 25.533 * * [simplify]: Extracting #0: cost 1 inf + 0 25.533 * * [simplify]: Extracting #1: cost 3 inf + 0 25.533 * * [simplify]: Extracting #2: cost 5 inf + 0 25.533 * * [simplify]: Extracting #3: cost 7 inf + 0 25.533 * * [simplify]: Extracting #4: cost 10 inf + 0 25.533 * * [simplify]: Extracting #5: cost 8 inf + 2 25.534 * * [simplify]: Extracting #6: cost 0 inf + 1058 25.534 * [simplify]: Simplified to (log (sqrt (log (+ 1 N)))) 25.534 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (exp (+ (log (sqrt (log (+ 1 N)))) (log (sqrt (log (+ N 1)))))) (log N))) 25.534 * * * * [progress]: [ 57 / 79 ] simplifiying candidate # 25.534 * [simplify]: Simplifying (log 1) 25.535 * * [simplify]: iters left: 1 (2 enodes) 25.537 * * [simplify]: Extracting #0: cost 1 inf + 0 25.537 * * [simplify]: Extracting #1: cost 0 inf + 1 25.537 * [simplify]: Simplified to 0 25.537 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (exp (+ 0 (log (log (+ N 1))))) (log N))) 25.537 * * * * [progress]: [ 58 / 79 ] simplifiying candidate # 25.537 * * * * [progress]: [ 59 / 79 ] simplifiying candidate # 25.537 * * * * [progress]: [ 60 / 79 ] simplifiying candidate # 25.537 * [simplify]: Simplifying (log (+ N 1)) 25.537 * * [simplify]: iters left: 3 (4 enodes) 25.540 * * [simplify]: iters left: 2 (15 enodes) 25.544 * * [simplify]: iters left: 1 (17 enodes) 25.549 * * [simplify]: Extracting #0: cost 1 inf + 0 25.550 * * [simplify]: Extracting #1: cost 3 inf + 0 25.550 * * [simplify]: Extracting #2: cost 6 inf + 0 25.550 * * [simplify]: Extracting #3: cost 4 inf + 2 25.550 * * [simplify]: Extracting #4: cost 0 inf + 310 25.550 * [simplify]: Simplified to (log (+ 1 N)) 25.550 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (exp (log (log (+ 1 N)))) (log N))) 25.550 * * * * [progress]: [ 61 / 79 ] simplifiying candidate # 25.550 * * * * [progress]: [ 62 / 79 ] simplifiying candidate # 25.550 * * * * [progress]: [ 63 / 79 ] simplifiying candidate # 25.550 * * * * [progress]: [ 64 / 79 ] simplifiying candidate # 25.550 * * * * [progress]: [ 65 / 79 ] simplifiying candidate # 25.550 * * * * [progress]: [ 66 / 79 ] simplifiying candidate # 25.550 * * * * [progress]: [ 67 / 79 ] simplifiying candidate #real (real->posit16 (log (log (+ N 1)))))) (log N)))> 25.551 * * * * [progress]: [ 68 / 79 ] simplifiying candidate # 25.551 * [simplify]: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 25.551 * * [simplify]: iters left: 6 (8 enodes) 25.556 * * [simplify]: iters left: 5 (35 enodes) 25.565 * * [simplify]: iters left: 4 (56 enodes) 25.577 * * [simplify]: iters left: 3 (95 enodes) 25.596 * * [simplify]: iters left: 2 (128 enodes) 25.632 * * [simplify]: iters left: 1 (162 enodes) 25.678 * * [simplify]: Extracting #0: cost 1 inf + 0 25.678 * * [simplify]: Extracting #1: cost 16 inf + 0 25.678 * * [simplify]: Extracting #2: cost 33 inf + 1 25.678 * * [simplify]: Extracting #3: cost 30 inf + 525 25.680 * * [simplify]: Extracting #4: cost 6 inf + 3093 25.682 * * [simplify]: Extracting #5: cost 0 inf + 4025 25.685 * * [simplify]: Extracting #6: cost 0 inf + 3985 25.687 * [simplify]: Simplified to (- N (+ (log N) (* N (* N 1/2)))) 25.687 * [simplify]: Simplified (2) to (λ (N) (- N (+ (log N) (* N (* N 1/2))))) 25.687 * * * * [progress]: [ 69 / 79 ] simplifiying candidate # 25.688 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 25.688 * * [simplify]: iters left: 6 (15 enodes) 25.699 * * [simplify]: iters left: 5 (68 enodes) 25.728 * * [simplify]: iters left: 4 (114 enodes) 25.764 * * [simplify]: iters left: 3 (170 enodes) 25.821 * * [simplify]: iters left: 2 (278 enodes) 25.894 * * [simplify]: Extracting #0: cost 1 inf + 0 25.894 * * [simplify]: Extracting #1: cost 11 inf + 0 25.894 * * [simplify]: Extracting #2: cost 69 inf + 0 25.895 * * [simplify]: Extracting #3: cost 110 inf + 741 25.896 * * [simplify]: Extracting #4: cost 88 inf + 3078 25.898 * * [simplify]: Extracting #5: cost 40 inf + 17981 25.902 * * [simplify]: Extracting #6: cost 6 inf + 30433 25.906 * * [simplify]: Extracting #7: cost 0 inf + 32845 25.914 * * [simplify]: Extracting #8: cost 0 inf + 32765 25.921 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 25.921 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 25.921 * * * * [progress]: [ 70 / 79 ] simplifiying candidate # 25.922 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 25.922 * * [simplify]: iters left: 6 (15 enodes) 25.933 * * [simplify]: iters left: 5 (68 enodes) 25.959 * * [simplify]: iters left: 4 (114 enodes) 26.000 * * [simplify]: iters left: 3 (170 enodes) 26.046 * * [simplify]: iters left: 2 (278 enodes) 26.103 * * [simplify]: Extracting #0: cost 1 inf + 0 26.103 * * [simplify]: Extracting #1: cost 11 inf + 0 26.103 * * [simplify]: Extracting #2: cost 69 inf + 0 26.104 * * [simplify]: Extracting #3: cost 110 inf + 741 26.105 * * [simplify]: Extracting #4: cost 88 inf + 3078 26.108 * * [simplify]: Extracting #5: cost 40 inf + 17981 26.115 * * [simplify]: Extracting #6: cost 6 inf + 30433 26.122 * * [simplify]: Extracting #7: cost 0 inf + 32845 26.126 * * [simplify]: Extracting #8: cost 0 inf + 32765 26.130 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N)) 26.130 * [simplify]: Simplified (2) to (λ (N) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ (/ 1/3 (* N N)) N))) 26.130 * * * * [progress]: [ 71 / 79 ] simplifiying candidate # 26.131 * [simplify]: Simplifying (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 26.131 * * [simplify]: iters left: 6 (11 enodes) 26.135 * * [simplify]: iters left: 5 (51 enodes) 26.147 * * [simplify]: iters left: 4 (104 enodes) 26.183 * * [simplify]: iters left: 3 (193 enodes) 26.252 * * [simplify]: iters left: 2 (303 enodes) 26.357 * * [simplify]: Extracting #0: cost 1 inf + 0 26.357 * * [simplify]: Extracting #1: cost 14 inf + 0 26.358 * * [simplify]: Extracting #2: cost 58 inf + 42 26.358 * * [simplify]: Extracting #3: cost 103 inf + 495 26.359 * * [simplify]: Extracting #4: cost 68 inf + 4250 26.362 * * [simplify]: Extracting #5: cost 24 inf + 18384 26.366 * * [simplify]: Extracting #6: cost 0 inf + 30897 26.370 * * [simplify]: Extracting #7: cost 0 inf + 30777 26.374 * [simplify]: Simplified to (+ (* N (* N (+ -1/2 (* N 1/3)))) N) 26.374 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (exp (log (+ (* N (* N (+ -1/2 (* N 1/3)))) N))) (log N))) 26.374 * * * * [progress]: [ 72 / 79 ] simplifiying candidate # 26.374 * [simplify]: Simplifying (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 26.374 * * [simplify]: iters left: 6 (11 enodes) 26.379 * * [simplify]: iters left: 5 (51 enodes) 26.388 * * [simplify]: iters left: 4 (72 enodes) 26.399 * * [simplify]: iters left: 3 (103 enodes) 26.432 * * [simplify]: iters left: 2 (138 enodes) 26.453 * * [simplify]: iters left: 1 (194 enodes) 26.509 * * [simplify]: Extracting #0: cost 1 inf + 0 26.509 * * [simplify]: Extracting #1: cost 27 inf + 0 26.510 * * [simplify]: Extracting #2: cost 66 inf + 1 26.510 * * [simplify]: Extracting #3: cost 68 inf + 6 26.512 * * [simplify]: Extracting #4: cost 35 inf + 2821 26.519 * * [simplify]: Extracting #5: cost 5 inf + 7314 26.523 * * [simplify]: Extracting #6: cost 0 inf + 8328 26.527 * [simplify]: Simplified to (+ (/ 1 N) (- (log N) (/ 1/2 (* N N)))) 26.527 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (exp (log (+ (/ 1 N) (- (log N) (/ 1/2 (* N N)))))) (log N))) 26.527 * * * * [progress]: [ 73 / 79 ] simplifiying candidate # 26.528 * [simplify]: Simplifying (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 26.528 * * [simplify]: iters left: 6 (15 enodes) 26.534 * * [simplify]: iters left: 5 (64 enodes) 26.545 * * [simplify]: iters left: 4 (108 enodes) 26.568 * * [simplify]: iters left: 3 (221 enodes) 26.662 * * [simplify]: iters left: 2 (449 enodes) 26.803 * * [simplify]: Extracting #0: cost 1 inf + 0 26.803 * * [simplify]: Extracting #1: cost 103 inf + 0 26.803 * * [simplify]: Extracting #2: cost 257 inf + 1 26.805 * * [simplify]: Extracting #3: cost 216 inf + 8293 26.818 * * [simplify]: Extracting #4: cost 27 inf + 48808 26.842 * * [simplify]: Extracting #5: cost 0 inf + 56449 26.867 * [simplify]: Simplified to (+ (/ (/ -1/2 N) N) (+ (/ 1 N) (log N))) 26.867 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (exp (log (+ (/ (/ -1/2 N) N) (+ (/ 1 N) (log N))))) (log N))) 26.867 * * * * [progress]: [ 74 / 79 ] simplifiying candidate # 26.868 * [simplify]: Simplifying (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 26.868 * * [simplify]: iters left: 6 (11 enodes) 26.876 * * [simplify]: iters left: 5 (51 enodes) 26.897 * * [simplify]: iters left: 4 (104 enodes) 26.942 * * [simplify]: iters left: 3 (193 enodes) 27.006 * * [simplify]: iters left: 2 (303 enodes) 27.099 * * [simplify]: Extracting #0: cost 1 inf + 0 27.099 * * [simplify]: Extracting #1: cost 14 inf + 0 27.099 * * [simplify]: Extracting #2: cost 58 inf + 42 27.100 * * [simplify]: Extracting #3: cost 103 inf + 495 27.102 * * [simplify]: Extracting #4: cost 68 inf + 4250 27.107 * * [simplify]: Extracting #5: cost 24 inf + 18384 27.114 * * [simplify]: Extracting #6: cost 0 inf + 30897 27.121 * * [simplify]: Extracting #7: cost 0 inf + 30777 27.128 * [simplify]: Simplified to (+ (* N (* N (+ -1/2 (* N 1/3)))) N) 27.128 * [simplify]: Simplified (2 1) to (λ (N) (- (+ (* N (* N (+ -1/2 (* N 1/3)))) N) (log N))) 27.128 * * * * [progress]: [ 75 / 79 ] simplifiying candidate # 27.128 * [simplify]: Simplifying (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 27.128 * * [simplify]: iters left: 6 (11 enodes) 27.132 * * [simplify]: iters left: 5 (51 enodes) 27.141 * * [simplify]: iters left: 4 (72 enodes) 27.155 * * [simplify]: iters left: 3 (103 enodes) 27.175 * * [simplify]: iters left: 2 (138 enodes) 27.197 * * [simplify]: iters left: 1 (194 enodes) 27.272 * * [simplify]: Extracting #0: cost 1 inf + 0 27.272 * * [simplify]: Extracting #1: cost 27 inf + 0 27.272 * * [simplify]: Extracting #2: cost 66 inf + 1 27.272 * * [simplify]: Extracting #3: cost 68 inf + 6 27.273 * * [simplify]: Extracting #4: cost 35 inf + 2821 27.275 * * [simplify]: Extracting #5: cost 5 inf + 7314 27.277 * * [simplify]: Extracting #6: cost 0 inf + 8328 27.280 * [simplify]: Simplified to (+ (/ 1 N) (- (log N) (/ 1/2 (* N N)))) 27.280 * [simplify]: Simplified (2 1) to (λ (N) (- (+ (/ 1 N) (- (log N) (/ 1/2 (* N N)))) (log N))) 27.280 * * * * [progress]: [ 76 / 79 ] simplifiying candidate # 27.280 * [simplify]: Simplifying (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 27.280 * * [simplify]: iters left: 6 (15 enodes) 27.286 * * [simplify]: iters left: 5 (64 enodes) 27.302 * * [simplify]: iters left: 4 (108 enodes) 27.338 * * [simplify]: iters left: 3 (221 enodes) 27.392 * * [simplify]: iters left: 2 (449 enodes) 27.546 * * [simplify]: Extracting #0: cost 1 inf + 0 27.546 * * [simplify]: Extracting #1: cost 103 inf + 0 27.547 * * [simplify]: Extracting #2: cost 257 inf + 1 27.549 * * [simplify]: Extracting #3: cost 216 inf + 8293 27.560 * * [simplify]: Extracting #4: cost 27 inf + 48808 27.575 * * [simplify]: Extracting #5: cost 0 inf + 56449 27.600 * [simplify]: Simplified to (+ (/ (/ -1/2 N) N) (+ (/ 1 N) (log N))) 27.600 * [simplify]: Simplified (2 1) to (λ (N) (- (+ (/ (/ -1/2 N) N) (+ (/ 1 N) (log N))) (log N))) 27.600 * * * * [progress]: [ 77 / 79 ] simplifiying candidate # 27.600 * [simplify]: Simplifying (- (+ (log N) (* 5/24 (pow N 2))) (* 1/2 N)) 27.600 * * [simplify]: iters left: 6 (10 enodes) 27.611 * * [simplify]: iters left: 5 (42 enodes) 27.626 * * [simplify]: iters left: 4 (69 enodes) 27.647 * * [simplify]: iters left: 3 (93 enodes) 27.672 * * [simplify]: iters left: 2 (105 enodes) 27.700 * * [simplify]: iters left: 1 (113 enodes) 27.728 * * [simplify]: Extracting #0: cost 1 inf + 0 27.728 * * [simplify]: Extracting #1: cost 16 inf + 0 27.729 * * [simplify]: Extracting #2: cost 33 inf + 0 27.729 * * [simplify]: Extracting #3: cost 25 inf + 790 27.730 * * [simplify]: Extracting #4: cost 6 inf + 3045 27.732 * * [simplify]: Extracting #5: cost 0 inf + 3829 27.734 * * [simplify]: Extracting #6: cost 0 inf + 3749 27.736 * [simplify]: Simplified to (+ (log N) (* N (+ (* N 5/24) -1/2))) 27.736 * [simplify]: Simplified (2 1 1) to (λ (N) (- (exp (+ (log N) (* N (+ (* N 5/24) -1/2)))) (log N))) 27.736 * * * * [progress]: [ 78 / 79 ] simplifiying candidate # 27.736 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 (* (log (/ 1 N)) (pow N 2)))) (log (- (log (/ 1 N))))) (+ (* 1/2 (/ 1 (* (pow (log (/ 1 N)) 2) (pow N 2)))) (/ 1 (* (log (/ 1 N)) N)))) 27.736 * * [simplify]: iters left: 6 (21 enodes) 27.749 * * [simplify]: iters left: 5 (97 enodes) 27.775 * * [simplify]: iters left: 4 (173 enodes) 27.834 * * [simplify]: iters left: 3 (352 enodes) 27.938 * * [simplify]: Extracting #0: cost 1 inf + 0 27.938 * * [simplify]: Extracting #1: cost 29 inf + 0 27.939 * * [simplify]: Extracting #2: cost 115 inf + 0 27.939 * * [simplify]: Extracting #3: cost 157 inf + 1010 27.943 * * [simplify]: Extracting #4: cost 71 inf + 17225 27.952 * * [simplify]: Extracting #5: cost 6 inf + 35232 27.968 * * [simplify]: Extracting #6: cost 0 inf + 37484 27.978 * [simplify]: Simplified to (+ (- (* (/ 1/2 N) (- (/ (/ 1 N) (log (/ 1 N))) (/ (/ 1 N) (* (log N) (log N))))) (/ (/ 1 N) (log (/ 1 N)))) (log (log N))) 27.978 * [simplify]: Simplified (2 1 1) to (λ (N) (- (exp (+ (- (* (/ 1/2 N) (- (/ (/ 1 N) (log (/ 1 N))) (/ (/ 1 N) (* (log N) (log N))))) (/ (/ 1 N) (log (/ 1 N)))) (log (log N)))) (log N))) 27.978 * * * * [progress]: [ 79 / 79 ] simplifiying candidate # 27.978 * [simplify]: Simplifying (- (+ (/ 1 (* (- (log -1) (log (/ -1 N))) N)) (log (- (log -1) (log (/ -1 N))))) (+ (* 1/2 (/ 1 (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (* 1/2 (/ 1 (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))))) 27.979 * * [simplify]: iters left: 6 (23 enodes) 27.986 * * [simplify]: iters left: 5 (105 enodes) 28.021 * * [simplify]: iters left: 4 (213 enodes) 28.083 * * [simplify]: iters left: 3 (495 enodes) 28.261 * * [simplify]: Extracting #0: cost 1 inf + 0 28.262 * * [simplify]: Extracting #1: cost 32 inf + 0 28.262 * * [simplify]: Extracting #2: cost 139 inf + 0 28.263 * * [simplify]: Extracting #3: cost 228 inf + 603 28.266 * * [simplify]: Extracting #4: cost 247 inf + 13763 28.279 * * [simplify]: Extracting #5: cost 35 inf + 68275 28.306 * * [simplify]: Extracting #6: cost 3 inf + 76827 28.338 * * [simplify]: Extracting #7: cost 0 inf + 77753 28.370 * [simplify]: Simplified to (+ (+ (/ (/ -1/2 (* N (log N))) (* N (log N))) (/ 1 (* N (log N)))) (+ (/ -1/2 (* N (* N (log N)))) (log (log N)))) 28.370 * [simplify]: Simplified (2 1 1) to (λ (N) (- (exp (+ (+ (/ (/ -1/2 (* N (log N))) (* N (log N))) (/ 1 (* N (log N)))) (+ (/ -1/2 (* N (* N (log N)))) (log (log N))))) (log N))) 28.371 * * * [progress]: adding candidates to table 29.133 * [progress]: [Phase 3 of 3] Extracting. 29.134 * * [regime]: Finding splitpoints for: (# # #) 29.134 * * * [regime-changes]: Trying 1 branch expressions: (N) 29.134 * * * * [regimes]: Trying to branch on N from (# # #) 29.170 * * * [regime]: Found split indices: #