1545986143.403 * [misc]progress: [Phase 1 of 3] Setting up. 1545986143.403 * * * [misc]progress: [1/2] Preparing points 1545986143.403 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545986143.453 * * * * [misc]points: Filtering points with unrepresentable outputs 1545986143.453 * * * * [misc]points: Sampling 120 additional inputs, on iter 1 have 136 / 256 1545986143.483 * * * * [misc]points: Filtering points with unrepresentable outputs 1545986143.483 * * * * [misc]points: Sampling 55 additional inputs, on iter 2 have 201 / 256 1545986143.497 * * * * [misc]points: Filtering points with unrepresentable outputs 1545986143.498 * * * * [misc]points: Sampling 27 additional inputs, on iter 3 have 229 / 256 1545986143.505 * * * * [misc]points: Filtering points with unrepresentable outputs 1545986143.505 * * * * [misc]points: Sampling 11 additional inputs, on iter 4 have 245 / 256 1545986143.510 * * * * [misc]points: Filtering points with unrepresentable outputs 1545986143.510 * * * * [misc]points: Sampling 5 additional inputs, on iter 5 have 251 / 256 1545986143.513 * * * * [misc]points: Filtering points with unrepresentable outputs 1545986143.513 * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 254 / 256 1545986143.515 * * * * [misc]points: Filtering points with unrepresentable outputs 1545986143.515 * * * * [exit]points: Sampled 256 points with exact outputs 1545986143.515 * * * [misc]progress: [2/2] Setting up program. 1545986143.521 * [misc]progress: [Phase 2 of 3] Improving. 1545986143.521 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1545986143.521 * * [misc]simplify: iters left: 5 (6 enodes) 1545986143.523 * * [misc]simplify: iters left: 4 (11 enodes) 1545986143.526 * * [misc]simplify: iters left: 3 (12 enodes) 1545986143.528 * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) 1545986143.560 * * [misc]progress: iteration 1 / 4 1545986143.560 * * * [misc]progress: picking best candidate 1545986143.565 * * * * [misc]pick: Picked # 1545986143.565 * * * [misc]progress: localizing error 1545986143.579 * * * [misc]progress: generating rewritten candidates 1545986143.580 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) 1545986143.581 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) 1545986143.586 * * * [misc]progress: generating series expansions 1545986143.586 * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) 1545986143.586 * [misc]backup-simplify: Simplify (log (+ 1 N)) into (log (+ N 1)) 1545986143.586 * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1545986143.586 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1545986143.586 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986143.586 * [misc]taylor: Taking taylor expansion of N in N 1545986143.586 * [misc]backup-simplify: Simplify 0 into 0 1545986143.586 * [misc]backup-simplify: Simplify 1 into 1 1545986143.586 * [misc]taylor: Taking taylor expansion of 1 in N 1545986143.586 * [misc]backup-simplify: Simplify 1 into 1 1545986143.586 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986143.586 * [misc]backup-simplify: Simplify (log 1) into 0 1545986143.586 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1545986143.587 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986143.587 * [misc]taylor: Taking taylor expansion of N in N 1545986143.587 * [misc]backup-simplify: Simplify 0 into 0 1545986143.587 * [misc]backup-simplify: Simplify 1 into 1 1545986143.587 * [misc]taylor: Taking taylor expansion of 1 in N 1545986143.587 * [misc]backup-simplify: Simplify 1 into 1 1545986143.587 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986143.587 * [misc]backup-simplify: Simplify (log 1) into 0 1545986143.587 * [misc]backup-simplify: Simplify 0 into 0 1545986143.587 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986143.589 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986143.589 * [misc]backup-simplify: Simplify 1 into 1 1545986143.590 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986143.592 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986143.592 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986143.593 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986143.597 * [misc]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 1545986143.597 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545986143.597 * [misc]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))) 1545986143.597 * [misc]backup-simplify: Simplify (log (+ 1 (/ 1 N))) into (log (+ (/ 1 N) 1)) 1545986143.597 * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1545986143.597 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1545986143.597 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986143.597 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986143.597 * [misc]taylor: Taking taylor expansion of N in N 1545986143.597 * [misc]backup-simplify: Simplify 0 into 0 1545986143.597 * [misc]backup-simplify: Simplify 1 into 1 1545986143.597 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986143.597 * [misc]taylor: Taking taylor expansion of 1 in N 1545986143.597 * [misc]backup-simplify: Simplify 1 into 1 1545986143.597 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986143.598 * [misc]backup-simplify: Simplify (log 1) into 0 1545986143.598 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1545986143.598 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986143.598 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986143.598 * [misc]taylor: Taking taylor expansion of N in N 1545986143.598 * [misc]backup-simplify: Simplify 0 into 0 1545986143.598 * [misc]backup-simplify: Simplify 1 into 1 1545986143.598 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986143.598 * [misc]taylor: Taking taylor expansion of 1 in N 1545986143.598 * [misc]backup-simplify: Simplify 1 into 1 1545986143.598 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986143.598 * [misc]backup-simplify: Simplify (log 1) into 0 1545986143.598 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545986143.598 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545986143.599 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986143.599 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986143.600 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986143.600 * [misc]backup-simplify: Simplify 1 into 1 1545986143.601 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986143.601 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986143.603 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986143.603 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986143.604 * [misc]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)))) 1545986143.604 * [misc]backup-simplify: Simplify (log (+ 1 (/ 1 (- N)))) into (log (- 1 (/ 1 N))) 1545986143.604 * [misc]approximate: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1545986143.604 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1545986143.604 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986143.604 * [misc]taylor: Taking taylor expansion of 1 in N 1545986143.604 * [misc]backup-simplify: Simplify 1 into 1 1545986143.604 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986143.604 * [misc]taylor: Taking taylor expansion of N in N 1545986143.604 * [misc]backup-simplify: Simplify 0 into 0 1545986143.604 * [misc]backup-simplify: Simplify 1 into 1 1545986143.604 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986143.604 * [misc]backup-simplify: Simplify (- 1) into -1 1545986143.604 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986143.604 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545986143.604 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1545986143.604 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986143.604 * [misc]taylor: Taking taylor expansion of 1 in N 1545986143.604 * [misc]backup-simplify: Simplify 1 into 1 1545986143.604 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986143.604 * [misc]taylor: Taking taylor expansion of N in N 1545986143.604 * [misc]backup-simplify: Simplify 0 into 0 1545986143.604 * [misc]backup-simplify: Simplify 1 into 1 1545986143.604 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986143.605 * [misc]backup-simplify: Simplify (- 1) into -1 1545986143.605 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986143.605 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545986143.605 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1545986143.605 * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1545986143.605 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986143.605 * [misc]backup-simplify: Simplify (- 0) into 0 1545986143.606 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986143.607 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1545986143.607 * [misc]backup-simplify: Simplify -1 into -1 1545986143.607 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986143.607 * [misc]backup-simplify: Simplify (- 0) into 0 1545986143.608 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986143.610 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1545986143.610 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986143.611 * [misc]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)))) 1545986143.611 * * * * [misc]progress: [ 2 / 2 ] generating series at (2) 1545986143.611 * [misc]backup-simplify: Simplify (- (log (+ 1 N)) (log N)) into (- (log (+ N 1)) (log N)) 1545986143.611 * [misc]approximate: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 1545986143.611 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1545986143.611 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1545986143.611 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986143.611 * [misc]taylor: Taking taylor expansion of N in N 1545986143.611 * [misc]backup-simplify: Simplify 0 into 0 1545986143.611 * [misc]backup-simplify: Simplify 1 into 1 1545986143.611 * [misc]taylor: Taking taylor expansion of 1 in N 1545986143.611 * [misc]backup-simplify: Simplify 1 into 1 1545986143.611 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986143.611 * [misc]backup-simplify: Simplify (log 1) into 0 1545986143.611 * [misc]taylor: Taking taylor expansion of (log N) in N 1545986143.611 * [misc]taylor: Taking taylor expansion of N in N 1545986143.611 * [misc]backup-simplify: Simplify 0 into 0 1545986143.611 * [misc]backup-simplify: Simplify 1 into 1 1545986143.611 * [misc]backup-simplify: Simplify (log 1) into 0 1545986143.611 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1545986143.611 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1545986143.611 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986143.611 * [misc]taylor: Taking taylor expansion of N in N 1545986143.611 * [misc]backup-simplify: Simplify 0 into 0 1545986143.611 * [misc]backup-simplify: Simplify 1 into 1 1545986143.611 * [misc]taylor: Taking taylor expansion of 1 in N 1545986143.611 * [misc]backup-simplify: Simplify 1 into 1 1545986143.611 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986143.612 * [misc]backup-simplify: Simplify (log 1) into 0 1545986143.612 * [misc]taylor: Taking taylor expansion of (log N) in N 1545986143.612 * [misc]taylor: Taking taylor expansion of N in N 1545986143.612 * [misc]backup-simplify: Simplify 0 into 0 1545986143.612 * [misc]backup-simplify: Simplify 1 into 1 1545986143.612 * [misc]backup-simplify: Simplify (log 1) into 0 1545986143.612 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1545986143.612 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545986143.612 * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) 1545986143.612 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545986143.612 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986143.614 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986143.615 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545986143.615 * [misc]backup-simplify: Simplify (- 0) into 0 1545986143.615 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986143.615 * [misc]backup-simplify: Simplify 1 into 1 1545986143.615 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986143.618 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986143.621 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545986143.621 * [misc]backup-simplify: Simplify (- 0) into 0 1545986143.622 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545986143.622 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986143.622 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986143.622 * [misc]backup-simplify: Simplify (- (log (+ 1 (/ 1 N))) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 1545986143.622 * [misc]approximate: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 1545986143.622 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1545986143.622 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1545986143.622 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986143.622 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986143.622 * [misc]taylor: Taking taylor expansion of N in N 1545986143.622 * [misc]backup-simplify: Simplify 0 into 0 1545986143.622 * [misc]backup-simplify: Simplify 1 into 1 1545986143.623 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986143.623 * [misc]taylor: Taking taylor expansion of 1 in N 1545986143.623 * [misc]backup-simplify: Simplify 1 into 1 1545986143.623 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986143.623 * [misc]backup-simplify: Simplify (log 1) into 0 1545986143.623 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1545986143.623 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986143.623 * [misc]taylor: Taking taylor expansion of N in N 1545986143.623 * [misc]backup-simplify: Simplify 0 into 0 1545986143.623 * [misc]backup-simplify: Simplify 1 into 1 1545986143.623 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986143.623 * [misc]backup-simplify: Simplify (log 1) into 0 1545986143.623 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1545986143.623 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1545986143.624 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986143.624 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986143.624 * [misc]taylor: Taking taylor expansion of N in N 1545986143.624 * [misc]backup-simplify: Simplify 0 into 0 1545986143.624 * [misc]backup-simplify: Simplify 1 into 1 1545986143.624 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986143.624 * [misc]taylor: Taking taylor expansion of 1 in N 1545986143.624 * [misc]backup-simplify: Simplify 1 into 1 1545986143.624 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986143.624 * [misc]backup-simplify: Simplify (log 1) into 0 1545986143.624 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1545986143.624 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986143.624 * [misc]taylor: Taking taylor expansion of N in N 1545986143.624 * [misc]backup-simplify: Simplify 0 into 0 1545986143.624 * [misc]backup-simplify: Simplify 1 into 1 1545986143.624 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986143.625 * [misc]backup-simplify: Simplify (log 1) into 0 1545986143.625 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545986143.625 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545986143.625 * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) 1545986143.626 * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 1545986143.626 * [misc]backup-simplify: Simplify 0 into 0 1545986143.626 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986143.626 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986143.629 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986143.629 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986143.632 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545986143.632 * [misc]backup-simplify: Simplify (- 0) into 0 1545986143.632 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986143.632 * [misc]backup-simplify: Simplify 1 into 1 1545986143.632 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986143.632 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986143.635 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986143.635 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986143.638 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545986143.638 * [misc]backup-simplify: Simplify (- 0) into 0 1545986143.638 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545986143.638 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986143.638 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986143.638 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986143.642 * [misc]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 1545986143.643 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986143.646 * [misc]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 1545986143.646 * [misc]backup-simplify: Simplify (- 0) into 0 1545986143.647 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545986143.647 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545986143.647 * [misc]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)))) 1545986143.647 * [misc]backup-simplify: Simplify (- (log (+ 1 (/ 1 (- N)))) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 1545986143.647 * [misc]approximate: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 1545986143.647 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1545986143.647 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1545986143.647 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986143.647 * [misc]taylor: Taking taylor expansion of 1 in N 1545986143.647 * [misc]backup-simplify: Simplify 1 into 1 1545986143.647 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986143.647 * [misc]taylor: Taking taylor expansion of N in N 1545986143.647 * [misc]backup-simplify: Simplify 0 into 0 1545986143.647 * [misc]backup-simplify: Simplify 1 into 1 1545986143.647 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986143.647 * [misc]backup-simplify: Simplify (- 1) into -1 1545986143.647 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986143.648 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545986143.648 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1545986143.648 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1545986143.648 * [misc]taylor: Taking taylor expansion of -1 in N 1545986143.648 * [misc]backup-simplify: Simplify -1 into -1 1545986143.648 * [misc]taylor: Taking taylor expansion of N in N 1545986143.648 * [misc]backup-simplify: Simplify 0 into 0 1545986143.648 * [misc]backup-simplify: Simplify 1 into 1 1545986143.648 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545986143.648 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545986143.648 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1545986143.648 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1545986143.648 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986143.648 * [misc]taylor: Taking taylor expansion of 1 in N 1545986143.648 * [misc]backup-simplify: Simplify 1 into 1 1545986143.648 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986143.648 * [misc]taylor: Taking taylor expansion of N in N 1545986143.648 * [misc]backup-simplify: Simplify 0 into 0 1545986143.648 * [misc]backup-simplify: Simplify 1 into 1 1545986143.648 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986143.648 * [misc]backup-simplify: Simplify (- 1) into -1 1545986143.648 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986143.648 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545986143.648 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1545986143.648 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1545986143.648 * [misc]taylor: Taking taylor expansion of -1 in N 1545986143.648 * [misc]backup-simplify: Simplify -1 into -1 1545986143.648 * [misc]taylor: Taking taylor expansion of N in N 1545986143.648 * [misc]backup-simplify: Simplify 0 into 0 1545986143.648 * [misc]backup-simplify: Simplify 1 into 1 1545986143.649 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545986143.649 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545986143.649 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1545986143.649 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1545986143.649 * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1545986143.650 * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1545986143.650 * [misc]backup-simplify: Simplify 0 into 0 1545986143.650 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986143.650 * [misc]backup-simplify: Simplify (- 0) into 0 1545986143.650 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986143.651 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1545986143.652 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545986143.656 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545986143.656 * [misc]backup-simplify: Simplify (- 0) into 0 1545986143.656 * [misc]backup-simplify: Simplify (+ -1 0) into -1 1545986143.656 * [misc]backup-simplify: Simplify -1 into -1 1545986143.657 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986143.657 * [misc]backup-simplify: Simplify (- 0) into 0 1545986143.657 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986143.659 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1545986143.659 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986143.662 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545986143.662 * [misc]backup-simplify: Simplify (- 0) into 0 1545986143.662 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545986143.662 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986143.662 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986143.662 * [misc]backup-simplify: Simplify (- 0) into 0 1545986143.662 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986143.666 * [misc]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 1545986143.667 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986143.670 * [misc]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 1545986143.671 * [misc]backup-simplify: Simplify (- 0) into 0 1545986143.671 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1545986143.671 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545986143.671 * [misc]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)))) 1545986143.671 * * * [misc]progress: simplifying candidates 1545986143.671 * * * * [misc]progress: [ 1 / 40 ] simplifiying candidate # 1545986143.671 * [enter]simplify: Simplifying (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1545986143.671 * * [misc]simplify: iters left: 6 (6 enodes) 1545986143.672 * * [misc]simplify: iters left: 5 (11 enodes) 1545986143.673 * [exit]simplify: Simplified to (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1545986143.674 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ 1 N)))) (log N))) 1545986143.674 * * * * [misc]progress: [ 2 / 40 ] simplifiying candidate # 1545986143.674 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545986143.674 * * [misc]simplify: iters left: 4 (5 enodes) 1545986143.674 * * [misc]simplify: iters left: 3 (8 enodes) 1545986143.675 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545986143.675 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (sqrt (+ N 1))) (log (sqrt (+ 1 N)))) (log N))) 1545986143.675 * * * * [misc]progress: [ 3 / 40 ] simplifiying candidate # 1545986143.675 * [enter]simplify: Simplifying (log 1) 1545986143.676 * * [misc]simplify: iters left: 1 (2 enodes) 1545986143.676 * [exit]simplify: Simplified to 0 1545986143.676 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ 0 (log (+ 1 N))) (log N))) 1545986143.676 * * * * [misc]progress: [ 4 / 40 ] simplifiying candidate # 1545986143.677 * [enter]simplify: Simplifying (log (+ (pow 1 3) (pow N 3))) 1545986143.677 * * [misc]simplify: iters left: 4 (7 enodes) 1545986143.678 * * [misc]simplify: iters left: 3 (15 enodes) 1545986143.680 * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) 1545986143.680 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (+ 1 (pow N 3))) (log (+ (* 1 1) (- (* N N) (* 1 N))))) (log N))) 1545986143.680 * * * * [misc]progress: [ 5 / 40 ] simplifiying candidate # 1545986143.680 * [enter]simplify: Simplifying (log (- (* 1 1) (* N N))) 1545986143.680 * * [misc]simplify: iters left: 5 (6 enodes) 1545986143.681 * * [misc]simplify: iters left: 4 (10 enodes) 1545986143.682 * * [misc]simplify: iters left: 3 (14 enodes) 1545986143.684 * [exit]simplify: Simplified to (log (- 1 (* N N))) 1545986143.684 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (- 1 (* N N))) (log (- 1 N))) (log N))) 1545986143.684 * * * * [misc]progress: [ 6 / 40 ] simplifiying candidate # 1545986143.684 * * * * [misc]progress: [ 7 / 40 ] simplifiying candidate # 1545986143.684 * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # 1545986143.684 * [enter]simplify: Simplifying (+ 1 N) 1545986143.684 * * [misc]simplify: iters left: 2 (3 enodes) 1545986143.685 * * [misc]simplify: iters left: 1 (6 enodes) 1545986143.685 * [exit]simplify: Simplified to (+ N 1) 1545986143.685 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (log (+ N 1)) (log N))) 1545986143.685 * * * * [misc]progress: [ 9 / 40 ] simplifiying candidate # 1545986143.685 * * * * [misc]progress: [ 10 / 40 ] simplifiying candidate # 1545986143.686 * * * * [misc]progress: [ 11 / 40 ] simplifiying candidate # 1545986143.686 * * * * [misc]progress: [ 12 / 40 ] simplifiying candidate # 1545986143.686 * * * * [misc]progress: [ 13 / 40 ] simplifiying candidate # 1545986143.686 * * * * [misc]progress: [ 14 / 40 ] simplifiying candidate # 1545986143.686 * * * * [misc]progress: [ 15 / 40 ] simplifiying candidate # 1545986143.686 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1545986143.686 * * [misc]simplify: iters left: 4 (4 enodes) 1545986143.686 * * [misc]simplify: iters left: 3 (7 enodes) 1545986143.687 * [exit]simplify: Simplified to (/ (+ N 1) N) 1545986143.687 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 1545986143.687 * * * * [misc]progress: [ 16 / 40 ] simplifiying candidate # 1545986143.687 * * * * [misc]progress: [ 17 / 40 ] simplifiying candidate # 1545986143.687 * * * * [misc]progress: [ 18 / 40 ] simplifiying candidate # 1545986143.687 * * * * [misc]progress: [ 19 / 40 ] simplifiying candidate # 1545986143.687 * * * * [misc]progress: [ 20 / 40 ] simplifiying candidate # 1545986143.687 * * * * [misc]progress: [ 21 / 40 ] simplifiying candidate # 1545986143.687 * * * * [misc]progress: [ 22 / 40 ] simplifiying candidate # 1545986143.688 * * * * [misc]progress: [ 23 / 40 ] simplifiying candidate # 1545986143.688 * * * * [misc]progress: [ 24 / 40 ] simplifiying candidate # 1545986143.688 * * * * [misc]progress: [ 25 / 40 ] simplifiying candidate # 1545986143.688 * * * * [misc]progress: [ 26 / 40 ] simplifiying candidate # 1545986143.688 * [enter]simplify: Simplifying (+ (sqrt (log (+ 1 N))) (sqrt (log N))) 1545986143.688 * * [misc]simplify: iters left: 6 (8 enodes) 1545986143.689 * * [misc]simplify: iters left: 5 (12 enodes) 1545986143.690 * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log (+ N 1)))) 1545986143.690 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log (+ N 1)))) (- (sqrt (log (+ 1 N))) (sqrt (log N))))) 1545986143.690 * [enter]simplify: Simplifying (- (sqrt (log (+ 1 N))) (sqrt (log N))) 1545986143.691 * * [misc]simplify: iters left: 6 (8 enodes) 1545986143.692 * * [misc]simplify: iters left: 5 (13 enodes) 1545986143.693 * * [misc]simplify: iters left: 4 (14 enodes) 1545986143.695 * [exit]simplify: Simplified to (- (sqrt (log (+ N 1))) (sqrt (log N))) 1545986143.695 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log (+ 1 N))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N))))) 1545986143.695 * * * * [misc]progress: [ 27 / 40 ] simplifiying candidate # 1545986143.695 * [enter]simplify: Simplifying (- (log (+ 1 N)) (log N)) 1545986143.695 * * [misc]simplify: iters left: 5 (6 enodes) 1545986143.696 * * [misc]simplify: iters left: 4 (11 enodes) 1545986143.697 * * [misc]simplify: iters left: 3 (12 enodes) 1545986143.698 * [exit]simplify: Simplified to (- (log (+ N 1)) (log N)) 1545986143.699 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log (+ N 1)) (log N)))) 1545986143.699 * * * * [misc]progress: [ 28 / 40 ] simplifiying candidate # 1545986143.699 * [enter]simplify: Simplifying (- (log (+ 1 N)) (log N)) 1545986143.699 * * [misc]simplify: iters left: 5 (6 enodes) 1545986143.700 * * [misc]simplify: iters left: 4 (11 enodes) 1545986143.701 * * [misc]simplify: iters left: 3 (12 enodes) 1545986143.702 * [exit]simplify: Simplified to (- (log (+ N 1)) (log N)) 1545986143.702 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log (+ N 1)) (log N)))) 1545986143.702 * * * * [misc]progress: [ 29 / 40 ] simplifiying candidate # 1545986143.702 * [enter]simplify: Simplifying (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1545986143.703 * * [misc]simplify: iters left: 6 (6 enodes) 1545986143.703 * * [misc]simplify: iters left: 5 (11 enodes) 1545986143.705 * [exit]simplify: Simplified to (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1545986143.705 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ 1 N))) (log N)))) 1545986143.705 * * * * [misc]progress: [ 30 / 40 ] simplifiying candidate # 1545986143.705 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545986143.705 * * [misc]simplify: iters left: 4 (5 enodes) 1545986143.706 * * [misc]simplify: iters left: 3 (8 enodes) 1545986143.707 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545986143.707 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (+ N 1))) (- (log (sqrt (+ 1 N))) (log N)))) 1545986143.707 * * * * [misc]progress: [ 31 / 40 ] simplifiying candidate # 1545986143.707 * [enter]simplify: Simplifying (log 1) 1545986143.707 * * [misc]simplify: iters left: 1 (2 enodes) 1545986143.708 * [exit]simplify: Simplified to 0 1545986143.708 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (- (log (+ 1 N)) (log N)))) 1545986143.708 * * * * [misc]progress: [ 32 / 40 ] simplifiying candidate # 1545986143.708 * [enter]simplify: Simplifying (log (+ (pow 1 3) (pow N 3))) 1545986143.708 * * [misc]simplify: iters left: 4 (7 enodes) 1545986143.710 * * [misc]simplify: iters left: 3 (15 enodes) 1545986143.711 * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) 1545986143.711 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (+ 1 (pow N 3))) (+ (log (+ (* 1 1) (- (* N N) (* 1 N)))) (log N)))) 1545986143.711 * * * * [misc]progress: [ 33 / 40 ] simplifiying candidate # 1545986143.712 * [enter]simplify: Simplifying (log (- (* 1 1) (* N N))) 1545986143.712 * * [misc]simplify: iters left: 5 (6 enodes) 1545986143.713 * * [misc]simplify: iters left: 4 (10 enodes) 1545986143.714 * * [misc]simplify: iters left: 3 (14 enodes) 1545986143.715 * [exit]simplify: Simplified to (log (- 1 (* N N))) 1545986143.715 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (- 1 (* N N))) (+ (log (- 1 N)) (log N)))) 1545986143.715 * * * * [misc]progress: [ 34 / 40 ] simplifiying candidate # 1545986143.716 * * * * [misc]progress: [ 35 / 40 ] simplifiying candidate # 1545986143.716 * [enter]simplify: Simplifying (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1545986143.716 * * [misc]simplify: iters left: 6 (11 enodes) 1545986143.717 * * [misc]simplify: iters left: 5 (21 enodes) 1545986143.722 * * [misc]simplify: iters left: 4 (51 enodes) 1545986143.731 * * [misc]simplify: iters left: 3 (83 enodes) 1545986143.743 * * [misc]simplify: iters left: 2 (112 enodes) 1545986143.765 * * [misc]simplify: iters left: 1 (143 enodes) 1545986143.822 * [exit]simplify: Simplified to (+ (* (- (* N 1/3) 1/2) (* N N)) N) 1545986143.823 * [misc]simplify: Simplified (2 1) to (λ (N) (- (+ (* (- (* N 1/3) 1/2) (* N N)) N) (log N))) 1545986143.823 * * * * [misc]progress: [ 36 / 40 ] simplifiying candidate # 1545986143.824 * [enter]simplify: Simplifying (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 1545986143.824 * * [misc]simplify: iters left: 6 (11 enodes) 1545986143.829 * * [misc]simplify: iters left: 5 (26 enodes) 1545986143.836 * * [misc]simplify: iters left: 4 (38 enodes) 1545986143.848 * * [misc]simplify: iters left: 3 (75 enodes) 1545986143.861 * * [misc]simplify: iters left: 2 (133 enodes) 1545986143.881 * * [misc]simplify: iters left: 1 (187 enodes) 1545986143.955 * [exit]simplify: Simplified to (+ (/ (/ -1/2 N) N) (+ (log N) (/ 1 N))) 1545986143.955 * [misc]simplify: Simplified (2 1) to (λ (N) (- (+ (/ (/ -1/2 N) N) (+ (log N) (/ 1 N))) (log N))) 1545986143.955 * * * * [misc]progress: [ 37 / 40 ] simplifiying candidate # 1545986143.955 * [enter]simplify: Simplifying (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 1545986143.955 * * [misc]simplify: iters left: 6 (15 enodes) 1545986143.959 * * [misc]simplify: iters left: 5 (31 enodes) 1545986143.965 * * [misc]simplify: iters left: 4 (64 enodes) 1545986143.980 * * [misc]simplify: iters left: 3 (156 enodes) 1545986144.043 * * [misc]simplify: iters left: 2 (389 enodes) 1545986144.177 * [exit]simplify: Simplified to (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))) 1545986144.177 * [misc]simplify: Simplified (2 1) to (λ (N) (- (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))) (log N))) 1545986144.177 * * * * [misc]progress: [ 38 / 40 ] simplifiying candidate # 1545986144.177 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986144.178 * * [misc]simplify: iters left: 6 (8 enodes) 1545986144.180 * * [misc]simplify: iters left: 5 (15 enodes) 1545986144.184 * * [misc]simplify: iters left: 4 (27 enodes) 1545986144.194 * * [misc]simplify: iters left: 3 (52 enodes) 1545986144.206 * * [misc]simplify: iters left: 2 (73 enodes) 1545986144.216 * * [misc]simplify: iters left: 1 (90 enodes) 1545986144.233 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1545986144.233 * [misc]simplify: Simplified (2) to (λ (N) (- (* (* N -1/2) N) (- (log N) N))) 1545986144.233 * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # 1545986144.233 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986144.233 * * [misc]simplify: iters left: 6 (15 enodes) 1545986144.244 * * [misc]simplify: iters left: 5 (31 enodes) 1545986144.257 * * [misc]simplify: iters left: 4 (57 enodes) 1545986144.275 * * [misc]simplify: iters left: 3 (89 enodes) 1545986144.305 * * [misc]simplify: iters left: 2 (137 enodes) 1545986144.343 * * [misc]simplify: iters left: 1 (207 enodes) 1545986144.407 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986144.408 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1545986144.408 * * * * [misc]progress: [ 40 / 40 ] simplifiying candidate # 1545986144.408 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986144.408 * * [misc]simplify: iters left: 6 (15 enodes) 1545986144.415 * * [misc]simplify: iters left: 5 (31 enodes) 1545986144.427 * * [misc]simplify: iters left: 4 (57 enodes) 1545986144.445 * * [misc]simplify: iters left: 3 (89 enodes) 1545986144.468 * * [misc]simplify: iters left: 2 (137 enodes) 1545986144.489 * * [misc]simplify: iters left: 1 (207 enodes) 1545986144.532 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986144.532 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1545986144.532 * * * [misc]progress: adding candidates to table 1545986144.890 * * [misc]progress: iteration 2 / 4 1545986144.890 * * * [misc]progress: picking best candidate 1545986144.897 * * * * [misc]pick: Picked # 1545986144.898 * * * [misc]progress: localizing error 1545986144.904 * * * [misc]progress: generating rewritten candidates 1545986144.904 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1545986144.905 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1545986144.908 * * * [misc]progress: generating series expansions 1545986144.908 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1545986144.908 * [misc]backup-simplify: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1545986144.908 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1545986144.908 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986144.908 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986144.908 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986144.908 * [misc]taylor: Taking taylor expansion of N in N 1545986144.908 * [misc]backup-simplify: Simplify 0 into 0 1545986144.908 * [misc]backup-simplify: Simplify 1 into 1 1545986144.908 * [misc]taylor: Taking taylor expansion of 1 in N 1545986144.908 * [misc]backup-simplify: Simplify 1 into 1 1545986144.908 * [misc]taylor: Taking taylor expansion of N in N 1545986144.908 * [misc]backup-simplify: Simplify 0 into 0 1545986144.908 * [misc]backup-simplify: Simplify 1 into 1 1545986144.908 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986144.908 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986144.909 * [misc]backup-simplify: Simplify (log 1) into 0 1545986144.909 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986144.909 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986144.909 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986144.909 * [misc]taylor: Taking taylor expansion of N in N 1545986144.909 * [misc]backup-simplify: Simplify 0 into 0 1545986144.909 * [misc]backup-simplify: Simplify 1 into 1 1545986144.909 * [misc]taylor: Taking taylor expansion of 1 in N 1545986144.909 * [misc]backup-simplify: Simplify 1 into 1 1545986144.909 * [misc]taylor: Taking taylor expansion of N in N 1545986144.909 * [misc]backup-simplify: Simplify 0 into 0 1545986144.909 * [misc]backup-simplify: Simplify 1 into 1 1545986144.909 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986144.909 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986144.909 * [misc]backup-simplify: Simplify (log 1) into 0 1545986144.909 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545986144.909 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545986144.909 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986144.910 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545986144.911 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986144.911 * [misc]backup-simplify: Simplify 1 into 1 1545986144.911 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.912 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545986144.914 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986144.914 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986144.914 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986144.914 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1545986144.915 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1545986144.915 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986144.915 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986144.915 * [misc]taylor: Taking taylor expansion of N in N 1545986144.915 * [misc]backup-simplify: Simplify 0 into 0 1545986144.915 * [misc]backup-simplify: Simplify 1 into 1 1545986144.915 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986144.915 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986144.915 * [misc]taylor: Taking taylor expansion of N in N 1545986144.915 * [misc]backup-simplify: Simplify 0 into 0 1545986144.915 * [misc]backup-simplify: Simplify 1 into 1 1545986144.915 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986144.915 * [misc]taylor: Taking taylor expansion of 1 in N 1545986144.915 * [misc]backup-simplify: Simplify 1 into 1 1545986144.915 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986144.915 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986144.915 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986144.915 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986144.915 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986144.916 * [misc]backup-simplify: Simplify (log 1) into 0 1545986144.916 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986144.916 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986144.916 * [misc]taylor: Taking taylor expansion of N in N 1545986144.916 * [misc]backup-simplify: Simplify 0 into 0 1545986144.916 * [misc]backup-simplify: Simplify 1 into 1 1545986144.916 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986144.916 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986144.916 * [misc]taylor: Taking taylor expansion of N in N 1545986144.916 * [misc]backup-simplify: Simplify 0 into 0 1545986144.916 * [misc]backup-simplify: Simplify 1 into 1 1545986144.916 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986144.916 * [misc]taylor: Taking taylor expansion of 1 in N 1545986144.916 * [misc]backup-simplify: Simplify 1 into 1 1545986144.916 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986144.916 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986144.916 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986144.916 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986144.917 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986144.917 * [misc]backup-simplify: Simplify (log 1) into 0 1545986144.917 * [misc]backup-simplify: Simplify 0 into 0 1545986144.917 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.917 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.917 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545986144.919 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986144.919 * [misc]backup-simplify: Simplify 1 into 1 1545986144.919 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.919 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.919 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545986144.922 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986144.922 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986144.922 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.923 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.923 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545986144.927 * [misc]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 1545986144.927 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545986144.927 * [misc]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)))) 1545986144.927 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1545986144.927 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1545986144.928 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986144.928 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986144.928 * [misc]taylor: Taking taylor expansion of -1 in N 1545986144.928 * [misc]backup-simplify: Simplify -1 into -1 1545986144.928 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986144.928 * [misc]taylor: Taking taylor expansion of N in N 1545986144.928 * [misc]backup-simplify: Simplify 0 into 0 1545986144.928 * [misc]backup-simplify: Simplify 1 into 1 1545986144.928 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986144.928 * [misc]taylor: Taking taylor expansion of 1 in N 1545986144.928 * [misc]backup-simplify: Simplify 1 into 1 1545986144.928 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986144.928 * [misc]taylor: Taking taylor expansion of N in N 1545986144.928 * [misc]backup-simplify: Simplify 0 into 0 1545986144.928 * [misc]backup-simplify: Simplify 1 into 1 1545986144.928 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986144.928 * [misc]backup-simplify: Simplify (- 1) into -1 1545986144.928 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986144.928 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986144.928 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986144.928 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986144.929 * [misc]backup-simplify: Simplify (- 0) into 0 1545986144.929 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986144.929 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986144.929 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986144.929 * [misc]backup-simplify: Simplify (log 1) into 0 1545986144.929 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986144.929 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986144.929 * [misc]taylor: Taking taylor expansion of -1 in N 1545986144.929 * [misc]backup-simplify: Simplify -1 into -1 1545986144.929 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986144.929 * [misc]taylor: Taking taylor expansion of N in N 1545986144.929 * [misc]backup-simplify: Simplify 0 into 0 1545986144.929 * [misc]backup-simplify: Simplify 1 into 1 1545986144.929 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986144.929 * [misc]taylor: Taking taylor expansion of 1 in N 1545986144.929 * [misc]backup-simplify: Simplify 1 into 1 1545986144.929 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986144.929 * [misc]taylor: Taking taylor expansion of N in N 1545986144.929 * [misc]backup-simplify: Simplify 0 into 0 1545986144.929 * [misc]backup-simplify: Simplify 1 into 1 1545986144.929 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986144.929 * [misc]backup-simplify: Simplify (- 1) into -1 1545986144.930 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986144.930 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986144.930 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986144.930 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986144.930 * [misc]backup-simplify: Simplify (- 0) into 0 1545986144.930 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986144.930 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986144.931 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986144.931 * [misc]backup-simplify: Simplify (log 1) into 0 1545986144.931 * [misc]backup-simplify: Simplify 0 into 0 1545986144.931 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.931 * [misc]backup-simplify: Simplify (- 0) into 0 1545986144.931 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.931 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545986144.932 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545986144.933 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1545986144.933 * [misc]backup-simplify: Simplify -1 into -1 1545986144.934 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.934 * [misc]backup-simplify: Simplify (- 0) into 0 1545986144.934 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.934 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545986144.934 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545986144.937 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986144.937 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986144.938 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.938 * [misc]backup-simplify: Simplify (- 0) into 0 1545986144.938 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.938 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545986144.938 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545986144.942 * [misc]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 1545986144.942 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545986144.942 * [misc]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)))) 1545986144.943 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1545986144.943 * [misc]backup-simplify: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 1545986144.943 * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1545986144.943 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986144.943 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986144.943 * [misc]taylor: Taking taylor expansion of N in N 1545986144.943 * [misc]backup-simplify: Simplify 0 into 0 1545986144.943 * [misc]backup-simplify: Simplify 1 into 1 1545986144.943 * [misc]taylor: Taking taylor expansion of 1 in N 1545986144.943 * [misc]backup-simplify: Simplify 1 into 1 1545986144.943 * [misc]taylor: Taking taylor expansion of N in N 1545986144.943 * [misc]backup-simplify: Simplify 0 into 0 1545986144.943 * [misc]backup-simplify: Simplify 1 into 1 1545986144.943 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986144.943 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986144.943 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986144.943 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986144.943 * [misc]taylor: Taking taylor expansion of N in N 1545986144.943 * [misc]backup-simplify: Simplify 0 into 0 1545986144.943 * [misc]backup-simplify: Simplify 1 into 1 1545986144.943 * [misc]taylor: Taking taylor expansion of 1 in N 1545986144.943 * [misc]backup-simplify: Simplify 1 into 1 1545986144.943 * [misc]taylor: Taking taylor expansion of N in N 1545986144.943 * [misc]backup-simplify: Simplify 0 into 0 1545986144.943 * [misc]backup-simplify: Simplify 1 into 1 1545986144.943 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986144.943 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986144.944 * [misc]backup-simplify: Simplify 1 into 1 1545986144.944 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986144.944 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545986144.944 * [misc]backup-simplify: Simplify 1 into 1 1545986144.944 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.944 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545986144.944 * [misc]backup-simplify: Simplify 0 into 0 1545986144.944 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.944 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.945 * [misc]backup-simplify: Simplify 0 into 0 1545986144.945 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.945 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.945 * [misc]backup-simplify: Simplify 0 into 0 1545986144.945 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.945 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.945 * [misc]backup-simplify: Simplify 0 into 0 1545986144.945 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.946 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.946 * [misc]backup-simplify: Simplify 0 into 0 1545986144.946 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.946 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.946 * [misc]backup-simplify: Simplify 0 into 0 1545986144.946 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1545986144.946 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1545986144.946 * [misc]approximate: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1545986144.947 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986144.947 * [misc]taylor: Taking taylor expansion of N in N 1545986144.947 * [misc]backup-simplify: Simplify 0 into 0 1545986144.947 * [misc]backup-simplify: Simplify 1 into 1 1545986144.947 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986144.947 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986144.947 * [misc]taylor: Taking taylor expansion of N in N 1545986144.947 * [misc]backup-simplify: Simplify 0 into 0 1545986144.947 * [misc]backup-simplify: Simplify 1 into 1 1545986144.947 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986144.947 * [misc]taylor: Taking taylor expansion of 1 in N 1545986144.947 * [misc]backup-simplify: Simplify 1 into 1 1545986144.947 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986144.947 * [misc]taylor: Taking taylor expansion of N in N 1545986144.947 * [misc]backup-simplify: Simplify 0 into 0 1545986144.947 * [misc]backup-simplify: Simplify 1 into 1 1545986144.947 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986144.947 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986144.947 * [misc]taylor: Taking taylor expansion of N in N 1545986144.947 * [misc]backup-simplify: Simplify 0 into 0 1545986144.947 * [misc]backup-simplify: Simplify 1 into 1 1545986144.947 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986144.947 * [misc]taylor: Taking taylor expansion of 1 in N 1545986144.947 * [misc]backup-simplify: Simplify 1 into 1 1545986144.947 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986144.947 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986144.947 * [misc]backup-simplify: Simplify 0 into 0 1545986144.948 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986144.948 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986144.948 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986144.948 * [misc]backup-simplify: Simplify 1 into 1 1545986144.948 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.948 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.948 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545986144.948 * [misc]backup-simplify: Simplify 1 into 1 1545986144.948 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.949 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.949 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545986144.949 * [misc]backup-simplify: Simplify 0 into 0 1545986144.949 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.949 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.949 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545986144.949 * [misc]backup-simplify: Simplify 0 into 0 1545986144.950 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.950 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.950 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1545986144.950 * [misc]backup-simplify: Simplify 0 into 0 1545986144.950 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.950 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.951 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1545986144.951 * [misc]backup-simplify: Simplify 0 into 0 1545986144.951 * [misc]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 1545986144.951 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.952 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1545986144.952 * [misc]backup-simplify: Simplify 0 into 0 1545986144.952 * [misc]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 1545986144.952 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.952 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1545986144.952 * [misc]backup-simplify: Simplify 0 into 0 1545986144.953 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1545986144.953 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1545986144.953 * [misc]approximate: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1545986144.953 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986144.953 * [misc]taylor: Taking taylor expansion of -1 in N 1545986144.953 * [misc]backup-simplify: Simplify -1 into -1 1545986144.953 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986144.953 * [misc]taylor: Taking taylor expansion of N in N 1545986144.953 * [misc]backup-simplify: Simplify 0 into 0 1545986144.953 * [misc]backup-simplify: Simplify 1 into 1 1545986144.953 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986144.953 * [misc]taylor: Taking taylor expansion of 1 in N 1545986144.953 * [misc]backup-simplify: Simplify 1 into 1 1545986144.953 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986144.953 * [misc]taylor: Taking taylor expansion of N in N 1545986144.953 * [misc]backup-simplify: Simplify 0 into 0 1545986144.953 * [misc]backup-simplify: Simplify 1 into 1 1545986144.953 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986144.953 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986144.953 * [misc]taylor: Taking taylor expansion of -1 in N 1545986144.953 * [misc]backup-simplify: Simplify -1 into -1 1545986144.953 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986144.953 * [misc]taylor: Taking taylor expansion of N in N 1545986144.953 * [misc]backup-simplify: Simplify 0 into 0 1545986144.953 * [misc]backup-simplify: Simplify 1 into 1 1545986144.953 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986144.953 * [misc]taylor: Taking taylor expansion of 1 in N 1545986144.953 * [misc]backup-simplify: Simplify 1 into 1 1545986144.953 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986144.953 * [misc]taylor: Taking taylor expansion of N in N 1545986144.953 * [misc]backup-simplify: Simplify 0 into 0 1545986144.953 * [misc]backup-simplify: Simplify 1 into 1 1545986144.953 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986144.953 * [misc]backup-simplify: Simplify (- 1) into -1 1545986144.954 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986144.954 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986144.954 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986144.954 * [misc]backup-simplify: Simplify 0 into 0 1545986144.954 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986144.954 * [misc]backup-simplify: Simplify (- 0) into 0 1545986144.954 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986144.954 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986144.954 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986144.954 * [misc]backup-simplify: Simplify 1 into 1 1545986144.955 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.955 * [misc]backup-simplify: Simplify (- 0) into 0 1545986144.955 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.955 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545986144.955 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545986144.955 * [misc]backup-simplify: Simplify -1 into -1 1545986144.955 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.955 * [misc]backup-simplify: Simplify (- 0) into 0 1545986144.956 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.956 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545986144.956 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545986144.956 * [misc]backup-simplify: Simplify 0 into 0 1545986144.956 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.956 * [misc]backup-simplify: Simplify (- 0) into 0 1545986144.956 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.957 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545986144.957 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545986144.957 * [misc]backup-simplify: Simplify 0 into 0 1545986144.957 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.957 * [misc]backup-simplify: Simplify (- 0) into 0 1545986144.957 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.958 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1545986144.958 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1545986144.958 * [misc]backup-simplify: Simplify 0 into 0 1545986144.958 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986144.958 * [misc]backup-simplify: Simplify (- 0) into 0 1545986144.958 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.959 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1545986144.959 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1545986144.959 * [misc]backup-simplify: Simplify 0 into 0 1545986144.959 * [misc]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 1545986144.959 * [misc]backup-simplify: Simplify (- 0) into 0 1545986144.960 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.960 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1545986144.960 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1545986144.960 * [misc]backup-simplify: Simplify 0 into 0 1545986144.961 * [misc]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 1545986144.961 * [misc]backup-simplify: Simplify (- 0) into 0 1545986144.961 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986144.961 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1545986144.961 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1545986144.961 * [misc]backup-simplify: Simplify 0 into 0 1545986144.962 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1545986144.962 * * * [misc]progress: simplifying candidates 1545986144.962 * * * * [misc]progress: [ 1 / 35 ] simplifiying candidate # 1545986144.962 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1545986144.962 * * [misc]simplify: iters left: 6 (7 enodes) 1545986144.963 * * [misc]simplify: iters left: 5 (12 enodes) 1545986144.966 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1545986144.966 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N))))) 1545986144.966 * * * * [misc]progress: [ 2 / 35 ] simplifiying candidate # 1545986144.966 * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) 1545986144.966 * * [misc]simplify: iters left: 6 (6 enodes) 1545986144.967 * * [misc]simplify: iters left: 5 (9 enodes) 1545986144.969 * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) 1545986144.969 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 1545986144.969 * * * * [misc]progress: [ 3 / 35 ] simplifiying candidate # 1545986144.970 * [enter]simplify: Simplifying (log 1) 1545986144.970 * * [misc]simplify: iters left: 1 (2 enodes) 1545986144.971 * [exit]simplify: Simplified to 0 1545986144.971 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ 1 N) N)))) 1545986144.971 * * * * [misc]progress: [ 4 / 35 ] simplifiying candidate # 1545986144.972 * [enter]simplify: Simplifying (log (+ 1 N)) 1545986144.972 * * [misc]simplify: iters left: 3 (4 enodes) 1545986144.973 * * [misc]simplify: iters left: 2 (7 enodes) 1545986144.974 * [exit]simplify: Simplified to (log (+ N 1)) 1545986144.974 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (+ N 1)) (log (/ 1 N)))) 1545986144.974 * * * * [misc]progress: [ 5 / 35 ] simplifiying candidate # 1545986144.975 * [enter]simplify: Simplifying (log (+ 1 N)) 1545986144.975 * * [misc]simplify: iters left: 3 (4 enodes) 1545986144.976 * * [misc]simplify: iters left: 2 (7 enodes) 1545986144.978 * [exit]simplify: Simplified to (log (+ N 1)) 1545986144.978 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (+ N 1)) (log N))) 1545986144.978 * * * * [misc]progress: [ 6 / 35 ] simplifiying candidate # 1545986144.978 * * * * [misc]progress: [ 7 / 35 ] simplifiying candidate # 1545986144.978 * * * * [misc]progress: [ 8 / 35 ] simplifiying candidate # 1545986144.978 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1545986144.978 * * [misc]simplify: iters left: 4 (4 enodes) 1545986144.979 * * [misc]simplify: iters left: 3 (7 enodes) 1545986144.981 * [exit]simplify: Simplified to (/ (+ N 1) N) 1545986144.981 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 1545986144.981 * * * * [misc]progress: [ 9 / 35 ] simplifiying candidate # 1545986144.981 * * * * [misc]progress: [ 10 / 35 ] simplifiying candidate # 1545986144.981 * * * * [misc]progress: [ 11 / 35 ] simplifiying candidate # 1545986144.981 * * * * [misc]progress: [ 12 / 35 ] simplifiying candidate # 1545986144.981 * * * * [misc]progress: [ 13 / 35 ] simplifiying candidate # 1545986144.981 * * * * [misc]progress: [ 14 / 35 ] simplifiying candidate # 1545986144.981 * * * * [misc]progress: [ 15 / 35 ] simplifiying candidate # 1545986144.981 * * * * [misc]progress: [ 16 / 35 ] simplifiying candidate # 1545986144.981 * * * * [misc]progress: [ 17 / 35 ] simplifiying candidate # 1545986144.981 * * * * [misc]progress: [ 18 / 35 ] simplifiying candidate # 1545986144.982 * * * * [misc]progress: [ 19 / 35 ] simplifiying candidate # 1545986144.982 * * * * [misc]progress: [ 20 / 35 ] simplifiying candidate # 1545986144.982 * * * * [misc]progress: [ 21 / 35 ] simplifiying candidate # 1545986144.982 * * * * [misc]progress: [ 22 / 35 ] simplifiying candidate # 1545986144.982 * * * * [misc]progress: [ 23 / 35 ] simplifiying candidate # 1545986144.982 * * * * [misc]progress: [ 24 / 35 ] simplifiying candidate # 1545986144.982 * * * * [misc]progress: [ 25 / 35 ] simplifiying candidate # 1545986144.982 * [enter]simplify: Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1545986144.982 * * [misc]simplify: iters left: 5 (5 enodes) 1545986144.984 * * [misc]simplify: iters left: 4 (8 enodes) 1545986144.985 * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1545986144.985 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ N (cbrt (+ 1 N)))))) 1545986144.985 * * * * [misc]progress: [ 26 / 35 ] simplifiying candidate # 1545986144.986 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1545986144.986 * * [misc]simplify: iters left: 3 (4 enodes) 1545986144.987 * * [misc]simplify: iters left: 2 (7 enodes) 1545986144.988 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1545986144.988 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ N 1)) (/ N (sqrt (+ 1 N)))))) 1545986144.988 * * * * [misc]progress: [ 27 / 35 ] simplifiying candidate # 1545986144.988 * * * * [misc]progress: [ 28 / 35 ] simplifiying candidate # 1545986144.989 * [enter]simplify: Simplifying (+ (pow 1 3) (pow N 3)) 1545986144.989 * * [misc]simplify: iters left: 3 (6 enodes) 1545986144.991 * * [misc]simplify: iters left: 2 (14 enodes) 1545986144.994 * [exit]simplify: Simplified to (+ 1 (pow N 3)) 1545986144.994 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (+ 1 (pow N 3)) (* N (+ (* 1 1) (- (* N N) (* 1 N))))))) 1545986144.994 * * * * [misc]progress: [ 29 / 35 ] simplifiying candidate # 1545986144.994 * [enter]simplify: Simplifying (- (* 1 1) (* N N)) 1545986144.994 * * [misc]simplify: iters left: 4 (5 enodes) 1545986144.996 * * [misc]simplify: iters left: 3 (9 enodes) 1545986144.998 * * [misc]simplify: iters left: 2 (13 enodes) 1545986145.000 * [exit]simplify: Simplified to (- 1 (* N N)) 1545986145.000 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (- 1 (* N N)) (* N (- 1 N))))) 1545986145.000 * * * * [misc]progress: [ 30 / 35 ] simplifiying candidate # 1545986145.001 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986145.001 * * [misc]simplify: iters left: 6 (8 enodes) 1545986145.003 * * [misc]simplify: iters left: 5 (15 enodes) 1545986145.006 * * [misc]simplify: iters left: 4 (27 enodes) 1545986145.016 * * [misc]simplify: iters left: 3 (52 enodes) 1545986145.025 * * [misc]simplify: iters left: 2 (73 enodes) 1545986145.035 * * [misc]simplify: iters left: 1 (90 enodes) 1545986145.050 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1545986145.050 * [misc]simplify: Simplified (2) to (λ (N) (- (* (* N -1/2) N) (- (log N) N))) 1545986145.050 * * * * [misc]progress: [ 31 / 35 ] simplifiying candidate # 1545986145.050 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986145.050 * * [misc]simplify: iters left: 6 (15 enodes) 1545986145.054 * * [misc]simplify: iters left: 5 (31 enodes) 1545986145.061 * * [misc]simplify: iters left: 4 (57 enodes) 1545986145.076 * * [misc]simplify: iters left: 3 (89 enodes) 1545986145.106 * * [misc]simplify: iters left: 2 (137 enodes) 1545986145.130 * * [misc]simplify: iters left: 1 (207 enodes) 1545986145.165 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986145.165 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1545986145.165 * * * * [misc]progress: [ 32 / 35 ] simplifiying candidate # 1545986145.165 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986145.165 * * [misc]simplify: iters left: 6 (15 enodes) 1545986145.169 * * [misc]simplify: iters left: 5 (31 enodes) 1545986145.175 * * [misc]simplify: iters left: 4 (57 enodes) 1545986145.189 * * [misc]simplify: iters left: 3 (89 enodes) 1545986145.210 * * [misc]simplify: iters left: 2 (137 enodes) 1545986145.230 * * [misc]simplify: iters left: 1 (207 enodes) 1545986145.275 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986145.275 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1545986145.275 * * * * [misc]progress: [ 33 / 35 ] simplifiying candidate # 1545986145.275 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1545986145.276 * * [misc]simplify: iters left: 4 (4 enodes) 1545986145.277 * * [misc]simplify: iters left: 3 (7 enodes) 1545986145.278 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1545986145.278 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1545986145.278 * * * * [misc]progress: [ 34 / 35 ] simplifiying candidate # 1545986145.279 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1545986145.279 * * [misc]simplify: iters left: 4 (4 enodes) 1545986145.280 * * [misc]simplify: iters left: 3 (7 enodes) 1545986145.281 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1545986145.281 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1545986145.281 * * * * [misc]progress: [ 35 / 35 ] simplifiying candidate # 1545986145.281 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1545986145.282 * * [misc]simplify: iters left: 4 (4 enodes) 1545986145.283 * * [misc]simplify: iters left: 3 (7 enodes) 1545986145.284 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1545986145.284 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1545986145.284 * * * [misc]progress: adding candidates to table 1545986145.639 * * [misc]progress: iteration 3 / 4 1545986145.639 * * * [misc]progress: picking best candidate 1545986145.650 * * * * [misc]pick: Picked # 1545986145.651 * * * [misc]progress: localizing error 1545986145.669 * * * [misc]progress: generating rewritten candidates 1545986145.669 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) 1545986145.671 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) 1545986145.672 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) 1545986145.674 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1545986145.690 * * * [misc]progress: generating series expansions 1545986145.690 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) 1545986145.690 * [misc]backup-simplify: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1545986145.690 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1545986145.690 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986145.690 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986145.690 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986145.690 * [misc]taylor: Taking taylor expansion of N in N 1545986145.690 * [misc]backup-simplify: Simplify 0 into 0 1545986145.690 * [misc]backup-simplify: Simplify 1 into 1 1545986145.690 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.690 * [misc]backup-simplify: Simplify 1 into 1 1545986145.690 * [misc]taylor: Taking taylor expansion of N in N 1545986145.690 * [misc]backup-simplify: Simplify 0 into 0 1545986145.690 * [misc]backup-simplify: Simplify 1 into 1 1545986145.691 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986145.691 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.691 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.691 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986145.691 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986145.691 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986145.691 * [misc]taylor: Taking taylor expansion of N in N 1545986145.691 * [misc]backup-simplify: Simplify 0 into 0 1545986145.691 * [misc]backup-simplify: Simplify 1 into 1 1545986145.691 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.691 * [misc]backup-simplify: Simplify 1 into 1 1545986145.691 * [misc]taylor: Taking taylor expansion of N in N 1545986145.691 * [misc]backup-simplify: Simplify 0 into 0 1545986145.691 * [misc]backup-simplify: Simplify 1 into 1 1545986145.691 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986145.692 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.692 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.692 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545986145.692 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545986145.692 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.693 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545986145.695 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986145.695 * [misc]backup-simplify: Simplify 1 into 1 1545986145.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.696 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545986145.700 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986145.700 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986145.701 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986145.701 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1545986145.701 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1545986145.701 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986145.701 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986145.701 * [misc]taylor: Taking taylor expansion of N in N 1545986145.701 * [misc]backup-simplify: Simplify 0 into 0 1545986145.701 * [misc]backup-simplify: Simplify 1 into 1 1545986145.701 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986145.701 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986145.701 * [misc]taylor: Taking taylor expansion of N in N 1545986145.701 * [misc]backup-simplify: Simplify 0 into 0 1545986145.701 * [misc]backup-simplify: Simplify 1 into 1 1545986145.701 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.701 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.701 * [misc]backup-simplify: Simplify 1 into 1 1545986145.701 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.702 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986145.702 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986145.702 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986145.702 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986145.702 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.702 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986145.703 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986145.703 * [misc]taylor: Taking taylor expansion of N in N 1545986145.703 * [misc]backup-simplify: Simplify 0 into 0 1545986145.703 * [misc]backup-simplify: Simplify 1 into 1 1545986145.703 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986145.703 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986145.703 * [misc]taylor: Taking taylor expansion of N in N 1545986145.703 * [misc]backup-simplify: Simplify 0 into 0 1545986145.703 * [misc]backup-simplify: Simplify 1 into 1 1545986145.703 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.703 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.703 * [misc]backup-simplify: Simplify 1 into 1 1545986145.703 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.703 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986145.704 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986145.704 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986145.704 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986145.704 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.704 * [misc]backup-simplify: Simplify 0 into 0 1545986145.705 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.705 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.705 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545986145.708 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986145.708 * [misc]backup-simplify: Simplify 1 into 1 1545986145.708 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.708 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.708 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545986145.713 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986145.713 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986145.713 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.714 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.714 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545986145.721 * [misc]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 1545986145.721 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545986145.721 * [misc]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)))) 1545986145.722 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1545986145.722 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1545986145.722 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986145.722 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986145.722 * [misc]taylor: Taking taylor expansion of -1 in N 1545986145.722 * [misc]backup-simplify: Simplify -1 into -1 1545986145.722 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986145.722 * [misc]taylor: Taking taylor expansion of N in N 1545986145.722 * [misc]backup-simplify: Simplify 0 into 0 1545986145.722 * [misc]backup-simplify: Simplify 1 into 1 1545986145.722 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986145.722 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.722 * [misc]backup-simplify: Simplify 1 into 1 1545986145.722 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986145.722 * [misc]taylor: Taking taylor expansion of N in N 1545986145.722 * [misc]backup-simplify: Simplify 0 into 0 1545986145.722 * [misc]backup-simplify: Simplify 1 into 1 1545986145.722 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.722 * [misc]backup-simplify: Simplify (- 1) into -1 1545986145.723 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986145.723 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986145.723 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986145.723 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986145.723 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.723 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.724 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986145.724 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986145.724 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.724 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986145.724 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986145.724 * [misc]taylor: Taking taylor expansion of -1 in N 1545986145.724 * [misc]backup-simplify: Simplify -1 into -1 1545986145.724 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986145.724 * [misc]taylor: Taking taylor expansion of N in N 1545986145.724 * [misc]backup-simplify: Simplify 0 into 0 1545986145.724 * [misc]backup-simplify: Simplify 1 into 1 1545986145.724 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986145.724 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.724 * [misc]backup-simplify: Simplify 1 into 1 1545986145.724 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986145.724 * [misc]taylor: Taking taylor expansion of N in N 1545986145.724 * [misc]backup-simplify: Simplify 0 into 0 1545986145.725 * [misc]backup-simplify: Simplify 1 into 1 1545986145.725 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.725 * [misc]backup-simplify: Simplify (- 1) into -1 1545986145.725 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986145.725 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986145.725 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986145.726 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986145.726 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.726 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.726 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986145.726 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986145.727 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.727 * [misc]backup-simplify: Simplify 0 into 0 1545986145.727 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.727 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.727 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.727 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545986145.728 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545986145.729 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1545986145.729 * [misc]backup-simplify: Simplify -1 into -1 1545986145.729 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.729 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.730 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.730 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545986145.730 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545986145.737 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986145.737 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986145.737 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.738 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.738 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.738 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545986145.739 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545986145.746 * [misc]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 1545986145.746 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545986145.746 * [misc]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)))) 1545986145.746 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) 1545986145.746 * [misc]backup-simplify: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1545986145.746 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1545986145.746 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986145.746 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986145.746 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986145.747 * [misc]taylor: Taking taylor expansion of N in N 1545986145.747 * [misc]backup-simplify: Simplify 0 into 0 1545986145.747 * [misc]backup-simplify: Simplify 1 into 1 1545986145.747 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.747 * [misc]backup-simplify: Simplify 1 into 1 1545986145.747 * [misc]taylor: Taking taylor expansion of N in N 1545986145.747 * [misc]backup-simplify: Simplify 0 into 0 1545986145.747 * [misc]backup-simplify: Simplify 1 into 1 1545986145.747 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986145.747 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.747 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.747 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986145.747 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986145.747 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986145.747 * [misc]taylor: Taking taylor expansion of N in N 1545986145.747 * [misc]backup-simplify: Simplify 0 into 0 1545986145.747 * [misc]backup-simplify: Simplify 1 into 1 1545986145.747 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.747 * [misc]backup-simplify: Simplify 1 into 1 1545986145.748 * [misc]taylor: Taking taylor expansion of N in N 1545986145.748 * [misc]backup-simplify: Simplify 0 into 0 1545986145.748 * [misc]backup-simplify: Simplify 1 into 1 1545986145.748 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986145.748 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.748 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.748 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545986145.748 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545986145.749 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.749 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545986145.752 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986145.752 * [misc]backup-simplify: Simplify 1 into 1 1545986145.752 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.752 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545986145.757 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986145.757 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986145.757 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986145.757 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1545986145.757 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1545986145.758 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986145.758 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986145.758 * [misc]taylor: Taking taylor expansion of N in N 1545986145.758 * [misc]backup-simplify: Simplify 0 into 0 1545986145.758 * [misc]backup-simplify: Simplify 1 into 1 1545986145.758 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986145.758 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986145.758 * [misc]taylor: Taking taylor expansion of N in N 1545986145.758 * [misc]backup-simplify: Simplify 0 into 0 1545986145.758 * [misc]backup-simplify: Simplify 1 into 1 1545986145.758 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.758 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.758 * [misc]backup-simplify: Simplify 1 into 1 1545986145.758 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.758 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986145.759 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986145.759 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986145.759 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986145.759 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.759 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986145.759 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986145.759 * [misc]taylor: Taking taylor expansion of N in N 1545986145.759 * [misc]backup-simplify: Simplify 0 into 0 1545986145.759 * [misc]backup-simplify: Simplify 1 into 1 1545986145.759 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986145.759 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986145.759 * [misc]taylor: Taking taylor expansion of N in N 1545986145.760 * [misc]backup-simplify: Simplify 0 into 0 1545986145.760 * [misc]backup-simplify: Simplify 1 into 1 1545986145.760 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.760 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.760 * [misc]backup-simplify: Simplify 1 into 1 1545986145.760 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.760 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986145.760 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986145.760 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986145.761 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986145.761 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.761 * [misc]backup-simplify: Simplify 0 into 0 1545986145.761 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.761 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.762 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545986145.764 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986145.764 * [misc]backup-simplify: Simplify 1 into 1 1545986145.765 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.765 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.765 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545986145.770 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986145.770 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986145.770 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.771 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.771 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545986145.778 * [misc]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 1545986145.778 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545986145.779 * [misc]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)))) 1545986145.779 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1545986145.779 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1545986145.779 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986145.779 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986145.779 * [misc]taylor: Taking taylor expansion of -1 in N 1545986145.779 * [misc]backup-simplify: Simplify -1 into -1 1545986145.779 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986145.779 * [misc]taylor: Taking taylor expansion of N in N 1545986145.779 * [misc]backup-simplify: Simplify 0 into 0 1545986145.779 * [misc]backup-simplify: Simplify 1 into 1 1545986145.779 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986145.779 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.779 * [misc]backup-simplify: Simplify 1 into 1 1545986145.779 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986145.779 * [misc]taylor: Taking taylor expansion of N in N 1545986145.779 * [misc]backup-simplify: Simplify 0 into 0 1545986145.779 * [misc]backup-simplify: Simplify 1 into 1 1545986145.780 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.780 * [misc]backup-simplify: Simplify (- 1) into -1 1545986145.780 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986145.780 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986145.780 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986145.781 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986145.781 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.781 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.781 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986145.782 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986145.782 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.782 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986145.782 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986145.782 * [misc]taylor: Taking taylor expansion of -1 in N 1545986145.782 * [misc]backup-simplify: Simplify -1 into -1 1545986145.782 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986145.782 * [misc]taylor: Taking taylor expansion of N in N 1545986145.782 * [misc]backup-simplify: Simplify 0 into 0 1545986145.782 * [misc]backup-simplify: Simplify 1 into 1 1545986145.782 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986145.782 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.782 * [misc]backup-simplify: Simplify 1 into 1 1545986145.782 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986145.782 * [misc]taylor: Taking taylor expansion of N in N 1545986145.782 * [misc]backup-simplify: Simplify 0 into 0 1545986145.782 * [misc]backup-simplify: Simplify 1 into 1 1545986145.782 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.783 * [misc]backup-simplify: Simplify (- 1) into -1 1545986145.783 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986145.783 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986145.783 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986145.783 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986145.784 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.784 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.784 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986145.784 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986145.784 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.785 * [misc]backup-simplify: Simplify 0 into 0 1545986145.785 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.785 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.785 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.785 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545986145.786 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545986145.788 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1545986145.789 * [misc]backup-simplify: Simplify -1 into -1 1545986145.789 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.789 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.789 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.790 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545986145.790 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545986145.795 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986145.795 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986145.795 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.796 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.796 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.796 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545986145.796 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545986145.804 * [misc]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 1545986145.804 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545986145.804 * [misc]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)))) 1545986145.805 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) 1545986145.805 * [misc]backup-simplify: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1545986145.805 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1545986145.805 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986145.805 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986145.805 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986145.805 * [misc]taylor: Taking taylor expansion of N in N 1545986145.805 * [misc]backup-simplify: Simplify 0 into 0 1545986145.805 * [misc]backup-simplify: Simplify 1 into 1 1545986145.805 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.805 * [misc]backup-simplify: Simplify 1 into 1 1545986145.805 * [misc]taylor: Taking taylor expansion of N in N 1545986145.805 * [misc]backup-simplify: Simplify 0 into 0 1545986145.805 * [misc]backup-simplify: Simplify 1 into 1 1545986145.805 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986145.805 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.806 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.806 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986145.806 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986145.806 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986145.806 * [misc]taylor: Taking taylor expansion of N in N 1545986145.806 * [misc]backup-simplify: Simplify 0 into 0 1545986145.806 * [misc]backup-simplify: Simplify 1 into 1 1545986145.806 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.806 * [misc]backup-simplify: Simplify 1 into 1 1545986145.806 * [misc]taylor: Taking taylor expansion of N in N 1545986145.806 * [misc]backup-simplify: Simplify 0 into 0 1545986145.806 * [misc]backup-simplify: Simplify 1 into 1 1545986145.806 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986145.806 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.806 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.807 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545986145.807 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545986145.807 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.807 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545986145.810 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986145.810 * [misc]backup-simplify: Simplify 1 into 1 1545986145.810 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.810 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545986145.814 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986145.814 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986145.815 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986145.815 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1545986145.815 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1545986145.815 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986145.815 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986145.815 * [misc]taylor: Taking taylor expansion of N in N 1545986145.815 * [misc]backup-simplify: Simplify 0 into 0 1545986145.815 * [misc]backup-simplify: Simplify 1 into 1 1545986145.815 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986145.815 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986145.815 * [misc]taylor: Taking taylor expansion of N in N 1545986145.815 * [misc]backup-simplify: Simplify 0 into 0 1545986145.815 * [misc]backup-simplify: Simplify 1 into 1 1545986145.815 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.815 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.815 * [misc]backup-simplify: Simplify 1 into 1 1545986145.815 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.816 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986145.816 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986145.816 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986145.816 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986145.816 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.816 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986145.816 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986145.816 * [misc]taylor: Taking taylor expansion of N in N 1545986145.816 * [misc]backup-simplify: Simplify 0 into 0 1545986145.816 * [misc]backup-simplify: Simplify 1 into 1 1545986145.816 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986145.816 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986145.816 * [misc]taylor: Taking taylor expansion of N in N 1545986145.816 * [misc]backup-simplify: Simplify 0 into 0 1545986145.816 * [misc]backup-simplify: Simplify 1 into 1 1545986145.816 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.816 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.816 * [misc]backup-simplify: Simplify 1 into 1 1545986145.816 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.817 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986145.817 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986145.817 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986145.817 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986145.817 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.817 * [misc]backup-simplify: Simplify 0 into 0 1545986145.817 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.817 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.818 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545986145.819 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986145.819 * [misc]backup-simplify: Simplify 1 into 1 1545986145.819 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.819 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.820 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545986145.822 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986145.822 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986145.822 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.823 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.823 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545986145.827 * [misc]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 1545986145.827 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545986145.827 * [misc]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)))) 1545986145.827 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1545986145.827 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1545986145.827 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986145.827 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986145.827 * [misc]taylor: Taking taylor expansion of -1 in N 1545986145.827 * [misc]backup-simplify: Simplify -1 into -1 1545986145.827 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986145.827 * [misc]taylor: Taking taylor expansion of N in N 1545986145.827 * [misc]backup-simplify: Simplify 0 into 0 1545986145.827 * [misc]backup-simplify: Simplify 1 into 1 1545986145.827 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986145.827 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.827 * [misc]backup-simplify: Simplify 1 into 1 1545986145.827 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986145.827 * [misc]taylor: Taking taylor expansion of N in N 1545986145.827 * [misc]backup-simplify: Simplify 0 into 0 1545986145.828 * [misc]backup-simplify: Simplify 1 into 1 1545986145.828 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.828 * [misc]backup-simplify: Simplify (- 1) into -1 1545986145.828 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986145.828 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986145.828 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986145.828 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986145.828 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.828 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.828 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986145.829 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986145.829 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.829 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986145.829 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986145.829 * [misc]taylor: Taking taylor expansion of -1 in N 1545986145.829 * [misc]backup-simplify: Simplify -1 into -1 1545986145.829 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986145.829 * [misc]taylor: Taking taylor expansion of N in N 1545986145.829 * [misc]backup-simplify: Simplify 0 into 0 1545986145.829 * [misc]backup-simplify: Simplify 1 into 1 1545986145.829 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986145.829 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.829 * [misc]backup-simplify: Simplify 1 into 1 1545986145.829 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986145.829 * [misc]taylor: Taking taylor expansion of N in N 1545986145.829 * [misc]backup-simplify: Simplify 0 into 0 1545986145.829 * [misc]backup-simplify: Simplify 1 into 1 1545986145.829 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.829 * [misc]backup-simplify: Simplify (- 1) into -1 1545986145.829 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986145.829 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986145.829 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986145.830 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986145.830 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.830 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.830 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986145.830 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986145.830 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.830 * [misc]backup-simplify: Simplify 0 into 0 1545986145.830 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.831 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.831 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.831 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545986145.831 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545986145.832 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1545986145.832 * [misc]backup-simplify: Simplify -1 into -1 1545986145.833 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.833 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.833 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.833 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545986145.833 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545986145.836 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986145.836 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986145.836 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.836 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.836 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.837 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545986145.837 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545986145.841 * [misc]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 1545986145.841 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545986145.841 * [misc]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)))) 1545986145.841 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1545986145.841 * [misc]backup-simplify: Simplify (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)))) into (log (/ (+ N 1) N)) 1545986145.841 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1545986145.841 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986145.841 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986145.841 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986145.842 * [misc]taylor: Taking taylor expansion of N in N 1545986145.842 * [misc]backup-simplify: Simplify 0 into 0 1545986145.842 * [misc]backup-simplify: Simplify 1 into 1 1545986145.842 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.842 * [misc]backup-simplify: Simplify 1 into 1 1545986145.842 * [misc]taylor: Taking taylor expansion of N in N 1545986145.842 * [misc]backup-simplify: Simplify 0 into 0 1545986145.842 * [misc]backup-simplify: Simplify 1 into 1 1545986145.842 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986145.842 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.842 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.842 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986145.842 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986145.842 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986145.842 * [misc]taylor: Taking taylor expansion of N in N 1545986145.842 * [misc]backup-simplify: Simplify 0 into 0 1545986145.842 * [misc]backup-simplify: Simplify 1 into 1 1545986145.842 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.842 * [misc]backup-simplify: Simplify 1 into 1 1545986145.842 * [misc]taylor: Taking taylor expansion of N in N 1545986145.842 * [misc]backup-simplify: Simplify 0 into 0 1545986145.842 * [misc]backup-simplify: Simplify 1 into 1 1545986145.842 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986145.843 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.843 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.843 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545986145.843 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545986145.843 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.843 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545986145.845 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986145.845 * [misc]backup-simplify: Simplify 1 into 1 1545986145.845 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.845 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545986145.848 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986145.848 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986145.848 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986145.848 * [misc]backup-simplify: Simplify (cbrt (* (* (log (/ (+ 1 (/ 1 N)) (/ 1 N))) (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) (log (/ (+ 1 (/ 1 N)) (/ 1 N))))) into (log (* N (+ (/ 1 N) 1))) 1545986145.848 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1545986145.848 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986145.848 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986145.848 * [misc]taylor: Taking taylor expansion of N in N 1545986145.848 * [misc]backup-simplify: Simplify 0 into 0 1545986145.848 * [misc]backup-simplify: Simplify 1 into 1 1545986145.848 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986145.848 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986145.848 * [misc]taylor: Taking taylor expansion of N in N 1545986145.848 * [misc]backup-simplify: Simplify 0 into 0 1545986145.848 * [misc]backup-simplify: Simplify 1 into 1 1545986145.848 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.848 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.848 * [misc]backup-simplify: Simplify 1 into 1 1545986145.849 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.849 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986145.849 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986145.849 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986145.849 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986145.849 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.849 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986145.849 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986145.849 * [misc]taylor: Taking taylor expansion of N in N 1545986145.849 * [misc]backup-simplify: Simplify 0 into 0 1545986145.849 * [misc]backup-simplify: Simplify 1 into 1 1545986145.849 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986145.849 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986145.849 * [misc]taylor: Taking taylor expansion of N in N 1545986145.849 * [misc]backup-simplify: Simplify 0 into 0 1545986145.849 * [misc]backup-simplify: Simplify 1 into 1 1545986145.849 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.849 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.849 * [misc]backup-simplify: Simplify 1 into 1 1545986145.850 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.850 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986145.850 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986145.850 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986145.850 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986145.850 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.850 * [misc]backup-simplify: Simplify 0 into 0 1545986145.850 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.850 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.851 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545986145.852 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986145.852 * [misc]backup-simplify: Simplify 1 into 1 1545986145.852 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.852 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.853 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545986145.855 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986145.855 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986145.856 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.856 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.856 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545986145.860 * [misc]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 1545986145.860 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545986145.860 * [misc]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)))) 1545986145.860 * [misc]backup-simplify: Simplify (cbrt (* (* (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1545986145.860 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1545986145.860 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986145.860 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986145.861 * [misc]taylor: Taking taylor expansion of -1 in N 1545986145.861 * [misc]backup-simplify: Simplify -1 into -1 1545986145.861 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986145.861 * [misc]taylor: Taking taylor expansion of N in N 1545986145.861 * [misc]backup-simplify: Simplify 0 into 0 1545986145.861 * [misc]backup-simplify: Simplify 1 into 1 1545986145.861 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986145.861 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.861 * [misc]backup-simplify: Simplify 1 into 1 1545986145.861 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986145.861 * [misc]taylor: Taking taylor expansion of N in N 1545986145.861 * [misc]backup-simplify: Simplify 0 into 0 1545986145.861 * [misc]backup-simplify: Simplify 1 into 1 1545986145.861 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.861 * [misc]backup-simplify: Simplify (- 1) into -1 1545986145.861 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986145.861 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986145.861 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986145.861 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986145.861 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.862 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.862 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986145.862 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986145.862 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.862 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986145.862 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986145.862 * [misc]taylor: Taking taylor expansion of -1 in N 1545986145.862 * [misc]backup-simplify: Simplify -1 into -1 1545986145.862 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986145.862 * [misc]taylor: Taking taylor expansion of N in N 1545986145.862 * [misc]backup-simplify: Simplify 0 into 0 1545986145.862 * [misc]backup-simplify: Simplify 1 into 1 1545986145.862 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986145.862 * [misc]taylor: Taking taylor expansion of 1 in N 1545986145.862 * [misc]backup-simplify: Simplify 1 into 1 1545986145.862 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986145.862 * [misc]taylor: Taking taylor expansion of N in N 1545986145.862 * [misc]backup-simplify: Simplify 0 into 0 1545986145.862 * [misc]backup-simplify: Simplify 1 into 1 1545986145.862 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986145.862 * [misc]backup-simplify: Simplify (- 1) into -1 1545986145.862 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986145.863 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986145.863 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986145.863 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986145.863 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.863 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986145.863 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986145.863 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986145.863 * [misc]backup-simplify: Simplify (log 1) into 0 1545986145.863 * [misc]backup-simplify: Simplify 0 into 0 1545986145.864 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.864 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.864 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.864 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545986145.864 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545986145.866 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1545986145.866 * [misc]backup-simplify: Simplify -1 into -1 1545986145.866 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.866 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.866 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.868 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545986145.868 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545986145.871 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986145.871 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986145.871 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986145.871 * [misc]backup-simplify: Simplify (- 0) into 0 1545986145.871 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986145.872 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545986145.872 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545986145.876 * [misc]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 1545986145.876 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545986145.876 * [misc]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)))) 1545986145.876 * * * [misc]progress: simplifying candidates 1545986145.876 * * * * [misc]progress: [ 1 / 64 ] simplifiying candidate # 1545986145.876 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1545986145.876 * * [misc]simplify: iters left: 6 (7 enodes) 1545986145.878 * * [misc]simplify: iters left: 5 (12 enodes) 1545986145.879 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1545986145.879 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N))))))) 1545986145.879 * * * * [misc]progress: [ 2 / 64 ] simplifiying candidate # 1545986145.879 * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) 1545986145.879 * * [misc]simplify: iters left: 6 (6 enodes) 1545986145.880 * * [misc]simplify: iters left: 5 (9 enodes) 1545986145.881 * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) 1545986145.881 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))))) 1545986145.881 * * * * [misc]progress: [ 3 / 64 ] simplifiying candidate # 1545986145.881 * [enter]simplify: Simplifying (log 1) 1545986145.881 * * [misc]simplify: iters left: 1 (2 enodes) 1545986145.882 * [exit]simplify: Simplified to 0 1545986145.882 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (+ 0 (log (/ (+ 1 N) N)))))) 1545986145.882 * * * * [misc]progress: [ 4 / 64 ] simplifiying candidate # 1545986145.882 * [enter]simplify: Simplifying (log (+ 1 N)) 1545986145.882 * * [misc]simplify: iters left: 3 (4 enodes) 1545986145.883 * * [misc]simplify: iters left: 2 (7 enodes) 1545986145.884 * [exit]simplify: Simplified to (log (+ N 1)) 1545986145.884 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (+ (log (+ N 1)) (log (/ 1 N)))))) 1545986145.884 * * * * [misc]progress: [ 5 / 64 ] simplifiying candidate # 1545986145.884 * [enter]simplify: Simplifying (log (+ 1 N)) 1545986145.884 * * [misc]simplify: iters left: 3 (4 enodes) 1545986145.885 * * [misc]simplify: iters left: 2 (7 enodes) 1545986145.885 * [exit]simplify: Simplified to (log (+ N 1)) 1545986145.885 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (- (log (+ N 1)) (log N))))) 1545986145.885 * * * * [misc]progress: [ 6 / 64 ] simplifiying candidate # 1545986145.885 * * * * [misc]progress: [ 7 / 64 ] simplifiying candidate # 1545986145.885 * * * * [misc]progress: [ 8 / 64 ] simplifiying candidate # 1545986145.886 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1545986145.886 * * [misc]simplify: iters left: 4 (4 enodes) 1545986145.886 * * [misc]simplify: iters left: 3 (7 enodes) 1545986145.887 * [exit]simplify: Simplified to (/ (+ N 1) N) 1545986145.887 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ N 1) N))))) 1545986145.887 * * * * [misc]progress: [ 9 / 64 ] simplifiying candidate # 1545986145.887 * * * * [misc]progress: [ 10 / 64 ] simplifiying candidate # 1545986145.887 * * * * [misc]progress: [ 11 / 64 ] simplifiying candidate # 1545986145.887 * * * * [misc]progress: [ 12 / 64 ] simplifiying candidate # 1545986145.887 * * * * [misc]progress: [ 13 / 64 ] simplifiying candidate # 1545986145.887 * * * * [misc]progress: [ 14 / 64 ] simplifiying candidate # 1545986145.887 * * * * [misc]progress: [ 15 / 64 ] simplifiying candidate # 1545986145.887 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1545986145.888 * * [misc]simplify: iters left: 6 (7 enodes) 1545986145.889 * * [misc]simplify: iters left: 5 (12 enodes) 1545986145.890 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1545986145.890 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N))))) (log (/ (+ 1 N) N))))) 1545986145.890 * * * * [misc]progress: [ 16 / 64 ] simplifiying candidate # 1545986145.890 * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) 1545986145.890 * * [misc]simplify: iters left: 6 (6 enodes) 1545986145.891 * * [misc]simplify: iters left: 5 (9 enodes) 1545986145.892 * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) 1545986145.892 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) (log (/ (+ 1 N) N))))) 1545986145.892 * * * * [misc]progress: [ 17 / 64 ] simplifiying candidate # 1545986145.892 * [enter]simplify: Simplifying (log 1) 1545986145.892 * * [misc]simplify: iters left: 1 (2 enodes) 1545986145.893 * [exit]simplify: Simplified to 0 1545986145.893 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (+ 0 (log (/ (+ 1 N) N)))) (log (/ (+ 1 N) N))))) 1545986145.893 * * * * [misc]progress: [ 18 / 64 ] simplifiying candidate # 1545986145.893 * [enter]simplify: Simplifying (log (+ 1 N)) 1545986145.893 * * [misc]simplify: iters left: 3 (4 enodes) 1545986145.894 * * [misc]simplify: iters left: 2 (7 enodes) 1545986145.895 * [exit]simplify: Simplified to (log (+ N 1)) 1545986145.895 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (+ (log (+ N 1)) (log (/ 1 N)))) (log (/ (+ 1 N) N))))) 1545986145.895 * * * * [misc]progress: [ 19 / 64 ] simplifiying candidate # 1545986145.895 * [enter]simplify: Simplifying (log (+ 1 N)) 1545986145.895 * * [misc]simplify: iters left: 3 (4 enodes) 1545986145.896 * * [misc]simplify: iters left: 2 (7 enodes) 1545986145.896 * [exit]simplify: Simplified to (log (+ N 1)) 1545986145.896 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (- (log (+ N 1)) (log N))) (log (/ (+ 1 N) N))))) 1545986145.896 * * * * [misc]progress: [ 20 / 64 ] simplifiying candidate # 1545986145.896 * * * * [misc]progress: [ 21 / 64 ] simplifiying candidate # 1545986145.897 * * * * [misc]progress: [ 22 / 64 ] simplifiying candidate # 1545986145.897 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1545986145.897 * * [misc]simplify: iters left: 4 (4 enodes) 1545986145.897 * * [misc]simplify: iters left: 3 (7 enodes) 1545986145.898 * [exit]simplify: Simplified to (/ (+ N 1) N) 1545986145.898 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ N 1) N))) (log (/ (+ 1 N) N))))) 1545986145.898 * * * * [misc]progress: [ 23 / 64 ] simplifiying candidate # 1545986145.898 * * * * [misc]progress: [ 24 / 64 ] simplifiying candidate # 1545986145.898 * * * * [misc]progress: [ 25 / 64 ] simplifiying candidate # 1545986145.898 * * * * [misc]progress: [ 26 / 64 ] simplifiying candidate # 1545986145.899 * * * * [misc]progress: [ 27 / 64 ] simplifiying candidate # 1545986145.899 * * * * [misc]progress: [ 28 / 64 ] simplifiying candidate # 1545986145.899 * * * * [misc]progress: [ 29 / 64 ] simplifiying candidate # 1545986145.899 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1545986145.899 * * [misc]simplify: iters left: 6 (7 enodes) 1545986145.900 * * [misc]simplify: iters left: 5 (12 enodes) 1545986145.901 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1545986145.901 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (cbrt (* (* (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N)))) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))) 1545986145.901 * * * * [misc]progress: [ 30 / 64 ] simplifiying candidate # 1545986145.901 * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) 1545986145.902 * * [misc]simplify: iters left: 6 (6 enodes) 1545986145.902 * * [misc]simplify: iters left: 5 (9 enodes) 1545986145.903 * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) 1545986145.903 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (cbrt (* (* (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N)))) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))) 1545986145.903 * * * * [misc]progress: [ 31 / 64 ] simplifiying candidate # 1545986145.904 * [enter]simplify: Simplifying (log 1) 1545986145.904 * * [misc]simplify: iters left: 1 (2 enodes) 1545986145.904 * [exit]simplify: Simplified to 0 1545986145.904 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (cbrt (* (* (+ 0 (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))) 1545986145.905 * * * * [misc]progress: [ 32 / 64 ] simplifiying candidate # 1545986145.905 * [enter]simplify: Simplifying (log (+ 1 N)) 1545986145.905 * * [misc]simplify: iters left: 3 (4 enodes) 1545986145.905 * * [misc]simplify: iters left: 2 (7 enodes) 1545986145.906 * [exit]simplify: Simplified to (log (+ N 1)) 1545986145.906 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (cbrt (* (* (+ (log (+ N 1)) (log (/ 1 N))) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))) 1545986145.906 * * * * [misc]progress: [ 33 / 64 ] simplifiying candidate # 1545986145.906 * [enter]simplify: Simplifying (log (+ 1 N)) 1545986145.906 * * [misc]simplify: iters left: 3 (4 enodes) 1545986145.907 * * [misc]simplify: iters left: 2 (7 enodes) 1545986145.908 * [exit]simplify: Simplified to (log (+ N 1)) 1545986145.908 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (cbrt (* (* (- (log (+ N 1)) (log N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))) 1545986145.908 * * * * [misc]progress: [ 34 / 64 ] simplifiying candidate # 1545986145.908 * * * * [misc]progress: [ 35 / 64 ] simplifiying candidate # 1545986145.908 * * * * [misc]progress: [ 36 / 64 ] simplifiying candidate # 1545986145.908 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1545986145.908 * * [misc]simplify: iters left: 4 (4 enodes) 1545986145.909 * * [misc]simplify: iters left: 3 (7 enodes) 1545986145.909 * [exit]simplify: Simplified to (/ (+ N 1) N) 1545986145.909 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (cbrt (* (* (log (/ (+ N 1) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))) 1545986145.909 * * * * [misc]progress: [ 37 / 64 ] simplifiying candidate # 1545986145.909 * * * * [misc]progress: [ 38 / 64 ] simplifiying candidate # 1545986145.909 * * * * [misc]progress: [ 39 / 64 ] simplifiying candidate # 1545986145.909 * * * * [misc]progress: [ 40 / 64 ] simplifiying candidate # 1545986145.910 * * * * [misc]progress: [ 41 / 64 ] simplifiying candidate # 1545986145.910 * * * * [misc]progress: [ 42 / 64 ] simplifiying candidate # 1545986145.910 * * * * [misc]progress: [ 43 / 64 ] simplifiying candidate # 1545986145.910 * * * * [misc]progress: [ 44 / 64 ] simplifiying candidate # 1545986145.910 * * * * [misc]progress: [ 45 / 64 ] simplifiying candidate # 1545986145.910 * * * * [misc]progress: [ 46 / 64 ] simplifiying candidate # 1545986145.910 * * * * [misc]progress: [ 47 / 64 ] simplifiying candidate # 1545986145.910 * [enter]simplify: Simplifying (cbrt (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)))) 1545986145.910 * * [misc]simplify: iters left: 6 (7 enodes) 1545986145.911 * * [misc]simplify: iters left: 5 (13 enodes) 1545986145.912 * * [misc]simplify: iters left: 4 (15 enodes) 1545986145.914 * * [misc]simplify: iters left: 3 (22 enodes) 1545986145.917 * * [misc]simplify: iters left: 2 (40 enodes) 1545986145.924 * * [misc]simplify: iters left: 1 (86 enodes) 1545986145.940 * [exit]simplify: Simplified to (cbrt (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N)))) 1545986145.940 * [misc]simplify: Simplified (2 1) to (λ (N) (* (cbrt (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N)))) (cbrt (log (/ (+ 1 N) N))))) 1545986145.940 * * * * [misc]progress: [ 48 / 64 ] simplifiying candidate # 1545986145.940 * * * * [misc]progress: [ 49 / 64 ] simplifiying candidate # 1545986145.940 * * * * [misc]progress: [ 50 / 64 ] simplifiying candidate # 1545986145.940 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1545986145.940 * * [misc]simplify: iters left: 4 (4 enodes) 1545986145.941 * * [misc]simplify: iters left: 3 (7 enodes) 1545986145.942 * [exit]simplify: Simplified to (/ (+ N 1) N) 1545986145.942 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 1545986145.942 * * * * [misc]progress: [ 51 / 64 ] simplifiying candidate # 1545986145.942 * * * * [misc]progress: [ 52 / 64 ] simplifiying candidate # 1545986145.942 * * * * [misc]progress: [ 53 / 64 ] simplifiying candidate # 1545986145.942 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986145.942 * * [misc]simplify: iters left: 6 (8 enodes) 1545986145.944 * * [misc]simplify: iters left: 5 (15 enodes) 1545986145.946 * * [misc]simplify: iters left: 4 (27 enodes) 1545986145.951 * * [misc]simplify: iters left: 3 (52 enodes) 1545986145.959 * * [misc]simplify: iters left: 2 (73 enodes) 1545986145.969 * * [misc]simplify: iters left: 1 (90 enodes) 1545986145.985 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1545986145.985 * [misc]simplify: Simplified (2 1 2) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (- (* (* N -1/2) N) (- (log N) N))))) 1545986145.985 * * * * [misc]progress: [ 54 / 64 ] simplifiying candidate # 1545986145.985 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986145.985 * * [misc]simplify: iters left: 6 (15 enodes) 1545986145.989 * * [misc]simplify: iters left: 5 (31 enodes) 1545986145.996 * * [misc]simplify: iters left: 4 (57 enodes) 1545986146.007 * * [misc]simplify: iters left: 3 (89 enodes) 1545986146.024 * * [misc]simplify: iters left: 2 (137 enodes) 1545986146.044 * * [misc]simplify: iters left: 1 (207 enodes) 1545986146.093 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986146.093 * [misc]simplify: Simplified (2 1 2) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))))) 1545986146.093 * * * * [misc]progress: [ 55 / 64 ] simplifiying candidate # 1545986146.094 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986146.094 * * [misc]simplify: iters left: 6 (15 enodes) 1545986146.100 * * [misc]simplify: iters left: 5 (31 enodes) 1545986146.113 * * [misc]simplify: iters left: 4 (57 enodes) 1545986146.134 * * [misc]simplify: iters left: 3 (89 enodes) 1545986146.164 * * [misc]simplify: iters left: 2 (137 enodes) 1545986146.197 * * [misc]simplify: iters left: 1 (207 enodes) 1545986146.238 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986146.239 * [misc]simplify: Simplified (2 1 2) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))))) 1545986146.239 * * * * [misc]progress: [ 56 / 64 ] simplifiying candidate # 1545986146.239 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986146.239 * * [misc]simplify: iters left: 6 (8 enodes) 1545986146.242 * * [misc]simplify: iters left: 5 (15 enodes) 1545986146.248 * * [misc]simplify: iters left: 4 (27 enodes) 1545986146.258 * * [misc]simplify: iters left: 3 (52 enodes) 1545986146.273 * * [misc]simplify: iters left: 2 (73 enodes) 1545986146.292 * * [misc]simplify: iters left: 1 (90 enodes) 1545986146.313 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1545986146.313 * [misc]simplify: Simplified (2 1 1 2) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (- (* (* N -1/2) N) (- (log N) N))) (log (/ (+ 1 N) N))))) 1545986146.313 * * * * [misc]progress: [ 57 / 64 ] simplifiying candidate # 1545986146.313 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986146.313 * * [misc]simplify: iters left: 6 (15 enodes) 1545986146.318 * * [misc]simplify: iters left: 5 (31 enodes) 1545986146.325 * * [misc]simplify: iters left: 4 (57 enodes) 1545986146.336 * * [misc]simplify: iters left: 3 (89 enodes) 1545986146.355 * * [misc]simplify: iters left: 2 (137 enodes) 1545986146.376 * * [misc]simplify: iters left: 1 (207 enodes) 1545986146.408 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986146.408 * [misc]simplify: Simplified (2 1 1 2) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) (log (/ (+ 1 N) N))))) 1545986146.408 * * * * [misc]progress: [ 58 / 64 ] simplifiying candidate # 1545986146.409 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986146.409 * * [misc]simplify: iters left: 6 (15 enodes) 1545986146.412 * * [misc]simplify: iters left: 5 (31 enodes) 1545986146.420 * * [misc]simplify: iters left: 4 (57 enodes) 1545986146.433 * * [misc]simplify: iters left: 3 (89 enodes) 1545986146.457 * * [misc]simplify: iters left: 2 (137 enodes) 1545986146.477 * * [misc]simplify: iters left: 1 (207 enodes) 1545986146.509 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986146.509 * [misc]simplify: Simplified (2 1 1 2) to (λ (N) (cbrt (* (* (log (/ (+ 1 N) N)) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) (log (/ (+ 1 N) N))))) 1545986146.510 * * * * [misc]progress: [ 59 / 64 ] simplifiying candidate # 1545986146.510 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986146.510 * * [misc]simplify: iters left: 6 (8 enodes) 1545986146.512 * * [misc]simplify: iters left: 5 (15 enodes) 1545986146.514 * * [misc]simplify: iters left: 4 (27 enodes) 1545986146.521 * * [misc]simplify: iters left: 3 (52 enodes) 1545986146.529 * * [misc]simplify: iters left: 2 (73 enodes) 1545986146.538 * * [misc]simplify: iters left: 1 (90 enodes) 1545986146.554 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1545986146.554 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (cbrt (* (* (- (* (* N -1/2) N) (- (log N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))) 1545986146.554 * * * * [misc]progress: [ 60 / 64 ] simplifiying candidate # 1545986146.555 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986146.555 * * [misc]simplify: iters left: 6 (15 enodes) 1545986146.561 * * [misc]simplify: iters left: 5 (31 enodes) 1545986146.572 * * [misc]simplify: iters left: 4 (57 enodes) 1545986146.592 * * [misc]simplify: iters left: 3 (89 enodes) 1545986146.620 * * [misc]simplify: iters left: 2 (137 enodes) 1545986146.661 * * [misc]simplify: iters left: 1 (207 enodes) 1545986146.721 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986146.721 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (cbrt (* (* (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))) 1545986146.721 * * * * [misc]progress: [ 61 / 64 ] simplifiying candidate # 1545986146.721 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986146.721 * * [misc]simplify: iters left: 6 (15 enodes) 1545986146.728 * * [misc]simplify: iters left: 5 (31 enodes) 1545986146.742 * * [misc]simplify: iters left: 4 (57 enodes) 1545986146.761 * * [misc]simplify: iters left: 3 (89 enodes) 1545986146.794 * * [misc]simplify: iters left: 2 (137 enodes) 1545986146.835 * * [misc]simplify: iters left: 1 (207 enodes) 1545986146.899 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986146.899 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (cbrt (* (* (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))) 1545986146.900 * * * * [misc]progress: [ 62 / 64 ] simplifiying candidate # 1545986146.900 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986146.901 * * [misc]simplify: iters left: 6 (8 enodes) 1545986146.903 * * [misc]simplify: iters left: 5 (15 enodes) 1545986146.908 * * [misc]simplify: iters left: 4 (27 enodes) 1545986146.920 * * [misc]simplify: iters left: 3 (52 enodes) 1545986146.934 * * [misc]simplify: iters left: 2 (73 enodes) 1545986146.953 * * [misc]simplify: iters left: 1 (90 enodes) 1545986146.971 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1545986146.971 * [misc]simplify: Simplified (2) to (λ (N) (- (* (* N -1/2) N) (- (log N) N))) 1545986146.971 * * * * [misc]progress: [ 63 / 64 ] simplifiying candidate # 1545986146.971 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986146.971 * * [misc]simplify: iters left: 6 (15 enodes) 1545986146.974 * * [misc]simplify: iters left: 5 (31 enodes) 1545986146.981 * * [misc]simplify: iters left: 4 (57 enodes) 1545986146.991 * * [misc]simplify: iters left: 3 (89 enodes) 1545986147.006 * * [misc]simplify: iters left: 2 (137 enodes) 1545986147.036 * * [misc]simplify: iters left: 1 (207 enodes) 1545986147.068 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986147.068 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1545986147.068 * * * * [misc]progress: [ 64 / 64 ] simplifiying candidate # 1545986147.068 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986147.068 * * [misc]simplify: iters left: 6 (15 enodes) 1545986147.075 * * [misc]simplify: iters left: 5 (31 enodes) 1545986147.087 * * [misc]simplify: iters left: 4 (57 enodes) 1545986147.105 * * [misc]simplify: iters left: 3 (89 enodes) 1545986147.137 * * [misc]simplify: iters left: 2 (137 enodes) 1545986147.173 * * [misc]simplify: iters left: 1 (207 enodes) 1545986147.206 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986147.206 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1545986147.206 * * * [misc]progress: adding candidates to table 1545986147.860 * * [misc]progress: iteration 4 / 4 1545986147.860 * * * [misc]progress: picking best candidate 1545986147.866 * * * * [misc]pick: Picked # 1545986147.866 * * * [misc]progress: localizing error 1545986147.874 * * * [misc]progress: generating rewritten candidates 1545986147.874 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1 2) 1545986147.875 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1 2) 1545986147.876 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 1545986147.876 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1545986147.883 * * * [misc]progress: generating series expansions 1545986147.884 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1 2) 1545986147.884 * [misc]backup-simplify: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1545986147.884 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1545986147.884 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986147.886 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986147.886 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986147.886 * [misc]taylor: Taking taylor expansion of N in N 1545986147.886 * [misc]backup-simplify: Simplify 0 into 0 1545986147.886 * [misc]backup-simplify: Simplify 1 into 1 1545986147.886 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.886 * [misc]backup-simplify: Simplify 1 into 1 1545986147.886 * [misc]taylor: Taking taylor expansion of N in N 1545986147.887 * [misc]backup-simplify: Simplify 0 into 0 1545986147.887 * [misc]backup-simplify: Simplify 1 into 1 1545986147.887 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986147.887 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.887 * [misc]backup-simplify: Simplify (log 1) into 0 1545986147.887 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986147.887 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986147.887 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986147.887 * [misc]taylor: Taking taylor expansion of N in N 1545986147.887 * [misc]backup-simplify: Simplify 0 into 0 1545986147.887 * [misc]backup-simplify: Simplify 1 into 1 1545986147.887 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.887 * [misc]backup-simplify: Simplify 1 into 1 1545986147.887 * [misc]taylor: Taking taylor expansion of N in N 1545986147.887 * [misc]backup-simplify: Simplify 0 into 0 1545986147.887 * [misc]backup-simplify: Simplify 1 into 1 1545986147.887 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986147.887 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.888 * [misc]backup-simplify: Simplify (log 1) into 0 1545986147.888 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545986147.888 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545986147.888 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986147.888 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545986147.890 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986147.890 * [misc]backup-simplify: Simplify 1 into 1 1545986147.890 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.890 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545986147.893 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986147.893 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986147.893 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986147.893 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1545986147.893 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1545986147.893 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986147.893 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986147.893 * [misc]taylor: Taking taylor expansion of N in N 1545986147.893 * [misc]backup-simplify: Simplify 0 into 0 1545986147.893 * [misc]backup-simplify: Simplify 1 into 1 1545986147.893 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986147.893 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986147.893 * [misc]taylor: Taking taylor expansion of N in N 1545986147.893 * [misc]backup-simplify: Simplify 0 into 0 1545986147.893 * [misc]backup-simplify: Simplify 1 into 1 1545986147.894 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.894 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.894 * [misc]backup-simplify: Simplify 1 into 1 1545986147.894 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986147.894 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986147.894 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986147.894 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986147.894 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986147.894 * [misc]backup-simplify: Simplify (log 1) into 0 1545986147.894 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986147.894 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986147.894 * [misc]taylor: Taking taylor expansion of N in N 1545986147.894 * [misc]backup-simplify: Simplify 0 into 0 1545986147.894 * [misc]backup-simplify: Simplify 1 into 1 1545986147.894 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986147.895 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986147.895 * [misc]taylor: Taking taylor expansion of N in N 1545986147.895 * [misc]backup-simplify: Simplify 0 into 0 1545986147.895 * [misc]backup-simplify: Simplify 1 into 1 1545986147.895 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.895 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.895 * [misc]backup-simplify: Simplify 1 into 1 1545986147.895 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986147.895 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986147.895 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986147.895 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986147.895 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986147.895 * [misc]backup-simplify: Simplify (log 1) into 0 1545986147.896 * [misc]backup-simplify: Simplify 0 into 0 1545986147.896 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986147.896 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.896 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545986147.898 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986147.898 * [misc]backup-simplify: Simplify 1 into 1 1545986147.898 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986147.898 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.898 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545986147.901 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986147.901 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986147.901 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986147.901 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.901 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545986147.907 * [misc]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 1545986147.907 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545986147.907 * [misc]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)))) 1545986147.907 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1545986147.907 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1545986147.907 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986147.907 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986147.908 * [misc]taylor: Taking taylor expansion of -1 in N 1545986147.908 * [misc]backup-simplify: Simplify -1 into -1 1545986147.908 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986147.908 * [misc]taylor: Taking taylor expansion of N in N 1545986147.908 * [misc]backup-simplify: Simplify 0 into 0 1545986147.908 * [misc]backup-simplify: Simplify 1 into 1 1545986147.908 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986147.908 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.908 * [misc]backup-simplify: Simplify 1 into 1 1545986147.908 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986147.908 * [misc]taylor: Taking taylor expansion of N in N 1545986147.908 * [misc]backup-simplify: Simplify 0 into 0 1545986147.908 * [misc]backup-simplify: Simplify 1 into 1 1545986147.908 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.908 * [misc]backup-simplify: Simplify (- 1) into -1 1545986147.908 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986147.909 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986147.909 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986147.909 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986147.909 * [misc]backup-simplify: Simplify (- 0) into 0 1545986147.909 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986147.909 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986147.910 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986147.910 * [misc]backup-simplify: Simplify (log 1) into 0 1545986147.910 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986147.910 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986147.910 * [misc]taylor: Taking taylor expansion of -1 in N 1545986147.910 * [misc]backup-simplify: Simplify -1 into -1 1545986147.910 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986147.910 * [misc]taylor: Taking taylor expansion of N in N 1545986147.910 * [misc]backup-simplify: Simplify 0 into 0 1545986147.910 * [misc]backup-simplify: Simplify 1 into 1 1545986147.910 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986147.910 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.910 * [misc]backup-simplify: Simplify 1 into 1 1545986147.910 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986147.910 * [misc]taylor: Taking taylor expansion of N in N 1545986147.910 * [misc]backup-simplify: Simplify 0 into 0 1545986147.910 * [misc]backup-simplify: Simplify 1 into 1 1545986147.910 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.911 * [misc]backup-simplify: Simplify (- 1) into -1 1545986147.911 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986147.911 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986147.911 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986147.911 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986147.911 * [misc]backup-simplify: Simplify (- 0) into 0 1545986147.912 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986147.912 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986147.912 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986147.912 * [misc]backup-simplify: Simplify (log 1) into 0 1545986147.912 * [misc]backup-simplify: Simplify 0 into 0 1545986147.912 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986147.912 * [misc]backup-simplify: Simplify (- 0) into 0 1545986147.912 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.913 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545986147.913 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545986147.914 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1545986147.914 * [misc]backup-simplify: Simplify -1 into -1 1545986147.914 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986147.915 * [misc]backup-simplify: Simplify (- 0) into 0 1545986147.915 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.915 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545986147.915 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545986147.918 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986147.918 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986147.918 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986147.918 * [misc]backup-simplify: Simplify (- 0) into 0 1545986147.918 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.919 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545986147.919 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545986147.923 * [misc]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 1545986147.923 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545986147.923 * [misc]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)))) 1545986147.923 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1 2) 1545986147.923 * [misc]backup-simplify: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1545986147.923 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1545986147.923 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986147.923 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986147.923 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986147.923 * [misc]taylor: Taking taylor expansion of N in N 1545986147.923 * [misc]backup-simplify: Simplify 0 into 0 1545986147.923 * [misc]backup-simplify: Simplify 1 into 1 1545986147.923 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.923 * [misc]backup-simplify: Simplify 1 into 1 1545986147.923 * [misc]taylor: Taking taylor expansion of N in N 1545986147.923 * [misc]backup-simplify: Simplify 0 into 0 1545986147.923 * [misc]backup-simplify: Simplify 1 into 1 1545986147.923 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986147.923 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.924 * [misc]backup-simplify: Simplify (log 1) into 0 1545986147.924 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986147.924 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986147.924 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986147.924 * [misc]taylor: Taking taylor expansion of N in N 1545986147.924 * [misc]backup-simplify: Simplify 0 into 0 1545986147.924 * [misc]backup-simplify: Simplify 1 into 1 1545986147.924 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.924 * [misc]backup-simplify: Simplify 1 into 1 1545986147.924 * [misc]taylor: Taking taylor expansion of N in N 1545986147.924 * [misc]backup-simplify: Simplify 0 into 0 1545986147.924 * [misc]backup-simplify: Simplify 1 into 1 1545986147.924 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986147.924 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.924 * [misc]backup-simplify: Simplify (log 1) into 0 1545986147.924 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545986147.924 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545986147.924 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986147.925 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545986147.926 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986147.926 * [misc]backup-simplify: Simplify 1 into 1 1545986147.926 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.926 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545986147.929 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986147.929 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986147.929 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986147.929 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1545986147.929 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1545986147.929 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986147.929 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986147.929 * [misc]taylor: Taking taylor expansion of N in N 1545986147.929 * [misc]backup-simplify: Simplify 0 into 0 1545986147.929 * [misc]backup-simplify: Simplify 1 into 1 1545986147.929 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986147.929 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986147.929 * [misc]taylor: Taking taylor expansion of N in N 1545986147.929 * [misc]backup-simplify: Simplify 0 into 0 1545986147.929 * [misc]backup-simplify: Simplify 1 into 1 1545986147.929 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.929 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.929 * [misc]backup-simplify: Simplify 1 into 1 1545986147.929 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986147.930 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986147.930 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986147.930 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986147.930 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986147.930 * [misc]backup-simplify: Simplify (log 1) into 0 1545986147.930 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986147.930 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986147.930 * [misc]taylor: Taking taylor expansion of N in N 1545986147.930 * [misc]backup-simplify: Simplify 0 into 0 1545986147.930 * [misc]backup-simplify: Simplify 1 into 1 1545986147.930 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986147.930 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986147.930 * [misc]taylor: Taking taylor expansion of N in N 1545986147.930 * [misc]backup-simplify: Simplify 0 into 0 1545986147.930 * [misc]backup-simplify: Simplify 1 into 1 1545986147.930 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.930 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.930 * [misc]backup-simplify: Simplify 1 into 1 1545986147.930 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986147.931 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986147.931 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986147.931 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986147.931 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986147.931 * [misc]backup-simplify: Simplify (log 1) into 0 1545986147.931 * [misc]backup-simplify: Simplify 0 into 0 1545986147.931 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986147.931 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.932 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545986147.933 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986147.933 * [misc]backup-simplify: Simplify 1 into 1 1545986147.933 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986147.933 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.934 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545986147.936 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986147.936 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986147.936 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986147.936 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.937 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545986147.941 * [misc]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 1545986147.941 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545986147.942 * [misc]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)))) 1545986147.942 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1545986147.942 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1545986147.942 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986147.942 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986147.942 * [misc]taylor: Taking taylor expansion of -1 in N 1545986147.942 * [misc]backup-simplify: Simplify -1 into -1 1545986147.942 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986147.942 * [misc]taylor: Taking taylor expansion of N in N 1545986147.942 * [misc]backup-simplify: Simplify 0 into 0 1545986147.942 * [misc]backup-simplify: Simplify 1 into 1 1545986147.942 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986147.942 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.942 * [misc]backup-simplify: Simplify 1 into 1 1545986147.942 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986147.942 * [misc]taylor: Taking taylor expansion of N in N 1545986147.942 * [misc]backup-simplify: Simplify 0 into 0 1545986147.942 * [misc]backup-simplify: Simplify 1 into 1 1545986147.943 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.943 * [misc]backup-simplify: Simplify (- 1) into -1 1545986147.943 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986147.943 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986147.943 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986147.944 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986147.944 * [misc]backup-simplify: Simplify (- 0) into 0 1545986147.944 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986147.944 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986147.944 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986147.944 * [misc]backup-simplify: Simplify (log 1) into 0 1545986147.945 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986147.945 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986147.945 * [misc]taylor: Taking taylor expansion of -1 in N 1545986147.945 * [misc]backup-simplify: Simplify -1 into -1 1545986147.945 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986147.945 * [misc]taylor: Taking taylor expansion of N in N 1545986147.945 * [misc]backup-simplify: Simplify 0 into 0 1545986147.945 * [misc]backup-simplify: Simplify 1 into 1 1545986147.945 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986147.945 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.945 * [misc]backup-simplify: Simplify 1 into 1 1545986147.945 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986147.945 * [misc]taylor: Taking taylor expansion of N in N 1545986147.945 * [misc]backup-simplify: Simplify 0 into 0 1545986147.945 * [misc]backup-simplify: Simplify 1 into 1 1545986147.945 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.945 * [misc]backup-simplify: Simplify (- 1) into -1 1545986147.945 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986147.946 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986147.946 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986147.946 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986147.946 * [misc]backup-simplify: Simplify (- 0) into 0 1545986147.946 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986147.947 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986147.947 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986147.947 * [misc]backup-simplify: Simplify (log 1) into 0 1545986147.947 * [misc]backup-simplify: Simplify 0 into 0 1545986147.947 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986147.948 * [misc]backup-simplify: Simplify (- 0) into 0 1545986147.948 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.948 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545986147.948 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545986147.951 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1545986147.951 * [misc]backup-simplify: Simplify -1 into -1 1545986147.951 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986147.952 * [misc]backup-simplify: Simplify (- 0) into 0 1545986147.952 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.952 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545986147.952 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545986147.957 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986147.957 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986147.957 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986147.958 * [misc]backup-simplify: Simplify (- 0) into 0 1545986147.958 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.958 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545986147.959 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545986147.966 * [misc]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 1545986147.966 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545986147.966 * [misc]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)))) 1545986147.966 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 1545986147.966 * [misc]backup-simplify: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1545986147.966 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1545986147.966 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986147.966 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986147.966 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986147.967 * [misc]taylor: Taking taylor expansion of N in N 1545986147.967 * [misc]backup-simplify: Simplify 0 into 0 1545986147.967 * [misc]backup-simplify: Simplify 1 into 1 1545986147.967 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.967 * [misc]backup-simplify: Simplify 1 into 1 1545986147.967 * [misc]taylor: Taking taylor expansion of N in N 1545986147.967 * [misc]backup-simplify: Simplify 0 into 0 1545986147.967 * [misc]backup-simplify: Simplify 1 into 1 1545986147.967 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986147.967 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.968 * [misc]backup-simplify: Simplify (log 1) into 0 1545986147.968 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986147.968 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986147.968 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986147.968 * [misc]taylor: Taking taylor expansion of N in N 1545986147.968 * [misc]backup-simplify: Simplify 0 into 0 1545986147.968 * [misc]backup-simplify: Simplify 1 into 1 1545986147.968 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.968 * [misc]backup-simplify: Simplify 1 into 1 1545986147.968 * [misc]taylor: Taking taylor expansion of N in N 1545986147.968 * [misc]backup-simplify: Simplify 0 into 0 1545986147.968 * [misc]backup-simplify: Simplify 1 into 1 1545986147.968 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986147.968 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.968 * [misc]backup-simplify: Simplify (log 1) into 0 1545986147.969 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545986147.969 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545986147.969 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986147.969 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545986147.972 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986147.972 * [misc]backup-simplify: Simplify 1 into 1 1545986147.972 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.972 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545986147.977 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986147.977 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986147.977 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986147.977 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1545986147.977 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1545986147.977 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986147.977 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986147.977 * [misc]taylor: Taking taylor expansion of N in N 1545986147.977 * [misc]backup-simplify: Simplify 0 into 0 1545986147.977 * [misc]backup-simplify: Simplify 1 into 1 1545986147.977 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986147.977 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986147.977 * [misc]taylor: Taking taylor expansion of N in N 1545986147.977 * [misc]backup-simplify: Simplify 0 into 0 1545986147.977 * [misc]backup-simplify: Simplify 1 into 1 1545986147.978 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.978 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.978 * [misc]backup-simplify: Simplify 1 into 1 1545986147.978 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986147.978 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986147.978 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986147.978 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986147.979 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986147.979 * [misc]backup-simplify: Simplify (log 1) into 0 1545986147.979 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986147.979 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986147.979 * [misc]taylor: Taking taylor expansion of N in N 1545986147.979 * [misc]backup-simplify: Simplify 0 into 0 1545986147.979 * [misc]backup-simplify: Simplify 1 into 1 1545986147.979 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986147.979 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986147.979 * [misc]taylor: Taking taylor expansion of N in N 1545986147.979 * [misc]backup-simplify: Simplify 0 into 0 1545986147.979 * [misc]backup-simplify: Simplify 1 into 1 1545986147.979 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.979 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.979 * [misc]backup-simplify: Simplify 1 into 1 1545986147.979 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986147.980 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986147.980 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986147.980 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986147.980 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986147.980 * [misc]backup-simplify: Simplify (log 1) into 0 1545986147.981 * [misc]backup-simplify: Simplify 0 into 0 1545986147.981 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986147.981 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.981 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545986147.984 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986147.984 * [misc]backup-simplify: Simplify 1 into 1 1545986147.984 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986147.985 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.985 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545986147.990 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986147.990 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986147.990 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986147.991 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986147.991 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545986147.998 * [misc]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 1545986147.998 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545986147.998 * [misc]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)))) 1545986147.998 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1545986147.999 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1545986147.999 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986147.999 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986147.999 * [misc]taylor: Taking taylor expansion of -1 in N 1545986147.999 * [misc]backup-simplify: Simplify -1 into -1 1545986147.999 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986147.999 * [misc]taylor: Taking taylor expansion of N in N 1545986147.999 * [misc]backup-simplify: Simplify 0 into 0 1545986147.999 * [misc]backup-simplify: Simplify 1 into 1 1545986147.999 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986147.999 * [misc]taylor: Taking taylor expansion of 1 in N 1545986147.999 * [misc]backup-simplify: Simplify 1 into 1 1545986147.999 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986147.999 * [misc]taylor: Taking taylor expansion of N in N 1545986147.999 * [misc]backup-simplify: Simplify 0 into 0 1545986147.999 * [misc]backup-simplify: Simplify 1 into 1 1545986147.999 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986147.999 * [misc]backup-simplify: Simplify (- 1) into -1 1545986147.999 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986148.000 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986148.000 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986148.000 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986148.000 * [misc]backup-simplify: Simplify (- 0) into 0 1545986148.000 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986148.001 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986148.001 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986148.001 * [misc]backup-simplify: Simplify (log 1) into 0 1545986148.001 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986148.001 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986148.001 * [misc]taylor: Taking taylor expansion of -1 in N 1545986148.001 * [misc]backup-simplify: Simplify -1 into -1 1545986148.001 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986148.001 * [misc]taylor: Taking taylor expansion of N in N 1545986148.001 * [misc]backup-simplify: Simplify 0 into 0 1545986148.001 * [misc]backup-simplify: Simplify 1 into 1 1545986148.001 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986148.001 * [misc]taylor: Taking taylor expansion of 1 in N 1545986148.001 * [misc]backup-simplify: Simplify 1 into 1 1545986148.001 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986148.001 * [misc]taylor: Taking taylor expansion of N in N 1545986148.001 * [misc]backup-simplify: Simplify 0 into 0 1545986148.001 * [misc]backup-simplify: Simplify 1 into 1 1545986148.002 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986148.002 * [misc]backup-simplify: Simplify (- 1) into -1 1545986148.002 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986148.002 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986148.002 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986148.003 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986148.003 * [misc]backup-simplify: Simplify (- 0) into 0 1545986148.003 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986148.003 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986148.003 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986148.003 * [misc]backup-simplify: Simplify (log 1) into 0 1545986148.003 * [misc]backup-simplify: Simplify 0 into 0 1545986148.004 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986148.004 * [misc]backup-simplify: Simplify (- 0) into 0 1545986148.004 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986148.004 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545986148.004 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545986148.006 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1545986148.006 * [misc]backup-simplify: Simplify -1 into -1 1545986148.006 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986148.006 * [misc]backup-simplify: Simplify (- 0) into 0 1545986148.006 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986148.006 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545986148.007 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545986148.009 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986148.009 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986148.009 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986148.010 * [misc]backup-simplify: Simplify (- 0) into 0 1545986148.010 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986148.010 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545986148.010 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545986148.015 * [misc]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 1545986148.015 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545986148.015 * [misc]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)))) 1545986148.015 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1545986148.016 * [misc]backup-simplify: Simplify (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)))))) into (log (/ (+ N 1) N)) 1545986148.016 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1545986148.016 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986148.016 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986148.016 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986148.016 * [misc]taylor: Taking taylor expansion of N in N 1545986148.016 * [misc]backup-simplify: Simplify 0 into 0 1545986148.016 * [misc]backup-simplify: Simplify 1 into 1 1545986148.016 * [misc]taylor: Taking taylor expansion of 1 in N 1545986148.016 * [misc]backup-simplify: Simplify 1 into 1 1545986148.016 * [misc]taylor: Taking taylor expansion of N in N 1545986148.016 * [misc]backup-simplify: Simplify 0 into 0 1545986148.016 * [misc]backup-simplify: Simplify 1 into 1 1545986148.016 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986148.016 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986148.016 * [misc]backup-simplify: Simplify (log 1) into 0 1545986148.016 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545986148.016 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545986148.016 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545986148.016 * [misc]taylor: Taking taylor expansion of N in N 1545986148.016 * [misc]backup-simplify: Simplify 0 into 0 1545986148.016 * [misc]backup-simplify: Simplify 1 into 1 1545986148.016 * [misc]taylor: Taking taylor expansion of 1 in N 1545986148.016 * [misc]backup-simplify: Simplify 1 into 1 1545986148.016 * [misc]taylor: Taking taylor expansion of N in N 1545986148.016 * [misc]backup-simplify: Simplify 0 into 0 1545986148.016 * [misc]backup-simplify: Simplify 1 into 1 1545986148.016 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986148.017 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986148.017 * [misc]backup-simplify: Simplify (log 1) into 0 1545986148.017 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545986148.017 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545986148.017 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986148.017 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545986148.019 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986148.019 * [misc]backup-simplify: Simplify 1 into 1 1545986148.019 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986148.019 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545986148.022 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986148.022 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986148.022 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986148.022 * [misc]backup-simplify: Simplify (exp (log (cbrt (* (* (log (/ (+ 1 (/ 1 N)) (/ 1 N))) (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) (log (/ (+ 1 (/ 1 N)) (/ 1 N))))))) into (log (* N (+ (/ 1 N) 1))) 1545986148.022 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1545986148.022 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986148.022 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986148.022 * [misc]taylor: Taking taylor expansion of N in N 1545986148.022 * [misc]backup-simplify: Simplify 0 into 0 1545986148.022 * [misc]backup-simplify: Simplify 1 into 1 1545986148.022 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986148.022 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986148.022 * [misc]taylor: Taking taylor expansion of N in N 1545986148.022 * [misc]backup-simplify: Simplify 0 into 0 1545986148.022 * [misc]backup-simplify: Simplify 1 into 1 1545986148.023 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986148.023 * [misc]taylor: Taking taylor expansion of 1 in N 1545986148.023 * [misc]backup-simplify: Simplify 1 into 1 1545986148.023 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986148.023 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986148.023 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986148.023 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986148.023 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986148.024 * [misc]backup-simplify: Simplify (log 1) into 0 1545986148.024 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545986148.024 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545986148.024 * [misc]taylor: Taking taylor expansion of N in N 1545986148.024 * [misc]backup-simplify: Simplify 0 into 0 1545986148.024 * [misc]backup-simplify: Simplify 1 into 1 1545986148.024 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545986148.024 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986148.024 * [misc]taylor: Taking taylor expansion of N in N 1545986148.024 * [misc]backup-simplify: Simplify 0 into 0 1545986148.024 * [misc]backup-simplify: Simplify 1 into 1 1545986148.024 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986148.024 * [misc]taylor: Taking taylor expansion of 1 in N 1545986148.024 * [misc]backup-simplify: Simplify 1 into 1 1545986148.024 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986148.024 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545986148.024 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986148.024 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545986148.024 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545986148.025 * [misc]backup-simplify: Simplify (log 1) into 0 1545986148.025 * [misc]backup-simplify: Simplify 0 into 0 1545986148.025 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986148.025 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986148.025 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545986148.027 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545986148.027 * [misc]backup-simplify: Simplify 1 into 1 1545986148.027 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986148.027 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986148.027 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545986148.030 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986148.030 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986148.030 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986148.030 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986148.031 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545986148.037 * [misc]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 1545986148.037 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545986148.037 * [misc]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)))) 1545986148.038 * [misc]backup-simplify: Simplify (exp (log (cbrt (* (* (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))))))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1545986148.038 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1545986148.038 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986148.038 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986148.038 * [misc]taylor: Taking taylor expansion of -1 in N 1545986148.038 * [misc]backup-simplify: Simplify -1 into -1 1545986148.038 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986148.038 * [misc]taylor: Taking taylor expansion of N in N 1545986148.038 * [misc]backup-simplify: Simplify 0 into 0 1545986148.038 * [misc]backup-simplify: Simplify 1 into 1 1545986148.038 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986148.038 * [misc]taylor: Taking taylor expansion of 1 in N 1545986148.038 * [misc]backup-simplify: Simplify 1 into 1 1545986148.038 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986148.038 * [misc]taylor: Taking taylor expansion of N in N 1545986148.038 * [misc]backup-simplify: Simplify 0 into 0 1545986148.038 * [misc]backup-simplify: Simplify 1 into 1 1545986148.039 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986148.039 * [misc]backup-simplify: Simplify (- 1) into -1 1545986148.039 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986148.039 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986148.039 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986148.040 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986148.040 * [misc]backup-simplify: Simplify (- 0) into 0 1545986148.040 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986148.040 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986148.040 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986148.040 * [misc]backup-simplify: Simplify (log 1) into 0 1545986148.040 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545986148.040 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545986148.041 * [misc]taylor: Taking taylor expansion of -1 in N 1545986148.041 * [misc]backup-simplify: Simplify -1 into -1 1545986148.041 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545986148.041 * [misc]taylor: Taking taylor expansion of N in N 1545986148.041 * [misc]backup-simplify: Simplify 0 into 0 1545986148.041 * [misc]backup-simplify: Simplify 1 into 1 1545986148.041 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545986148.041 * [misc]taylor: Taking taylor expansion of 1 in N 1545986148.041 * [misc]backup-simplify: Simplify 1 into 1 1545986148.041 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545986148.041 * [misc]taylor: Taking taylor expansion of N in N 1545986148.041 * [misc]backup-simplify: Simplify 0 into 0 1545986148.041 * [misc]backup-simplify: Simplify 1 into 1 1545986148.041 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545986148.041 * [misc]backup-simplify: Simplify (- 1) into -1 1545986148.041 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545986148.041 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545986148.042 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545986148.042 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545986148.042 * [misc]backup-simplify: Simplify (- 0) into 0 1545986148.042 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545986148.042 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545986148.043 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545986148.043 * [misc]backup-simplify: Simplify (log 1) into 0 1545986148.043 * [misc]backup-simplify: Simplify 0 into 0 1545986148.043 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986148.043 * [misc]backup-simplify: Simplify (- 0) into 0 1545986148.044 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986148.044 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545986148.044 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545986148.047 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1545986148.047 * [misc]backup-simplify: Simplify -1 into -1 1545986148.047 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986148.047 * [misc]backup-simplify: Simplify (- 0) into 0 1545986148.047 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986148.048 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545986148.048 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545986148.052 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545986148.052 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545986148.053 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545986148.053 * [misc]backup-simplify: Simplify (- 0) into 0 1545986148.053 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545986148.054 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545986148.054 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545986148.061 * [misc]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 1545986148.061 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545986148.062 * [misc]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)))) 1545986148.062 * * * [misc]progress: simplifying candidates 1545986148.062 * * * * [misc]progress: [ 1 / 71 ] simplifiying candidate # 1545986148.062 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1545986148.062 * * [misc]simplify: iters left: 6 (7 enodes) 1545986148.064 * * [misc]simplify: iters left: 5 (12 enodes) 1545986148.067 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1545986148.067 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N))))))))) 1545986148.068 * * * * [misc]progress: [ 2 / 71 ] simplifiying candidate # 1545986148.068 * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) 1545986148.068 * * [misc]simplify: iters left: 6 (6 enodes) 1545986148.070 * * [misc]simplify: iters left: 5 (9 enodes) 1545986148.072 * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) 1545986148.072 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))))))) 1545986148.072 * * * * [misc]progress: [ 3 / 71 ] simplifiying candidate # 1545986148.073 * [enter]simplify: Simplifying (log 1) 1545986148.073 * * [misc]simplify: iters left: 1 (2 enodes) 1545986148.074 * [exit]simplify: Simplified to 0 1545986148.074 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (+ 0 (log (/ (+ 1 N) N)))))))) 1545986148.074 * * * * [misc]progress: [ 4 / 71 ] simplifiying candidate # 1545986148.074 * [enter]simplify: Simplifying (log (+ 1 N)) 1545986148.075 * * [misc]simplify: iters left: 3 (4 enodes) 1545986148.076 * * [misc]simplify: iters left: 2 (7 enodes) 1545986148.077 * [exit]simplify: Simplified to (log (+ N 1)) 1545986148.078 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (+ (log (+ N 1)) (log (/ 1 N)))))))) 1545986148.078 * * * * [misc]progress: [ 5 / 71 ] simplifiying candidate # 1545986148.078 * [enter]simplify: Simplifying (log (+ 1 N)) 1545986148.078 * * [misc]simplify: iters left: 3 (4 enodes) 1545986148.079 * * [misc]simplify: iters left: 2 (7 enodes) 1545986148.081 * [exit]simplify: Simplified to (log (+ N 1)) 1545986148.081 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (- (log (+ N 1)) (log N))))))) 1545986148.081 * * * * [misc]progress: [ 6 / 71 ] simplifiying candidate # 1545986148.081 * * * * [misc]progress: [ 7 / 71 ] simplifiying candidate # 1545986148.081 * * * * [misc]progress: [ 8 / 71 ] simplifiying candidate # 1545986148.081 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1545986148.081 * * [misc]simplify: iters left: 4 (4 enodes) 1545986148.083 * * [misc]simplify: iters left: 3 (7 enodes) 1545986148.084 * [exit]simplify: Simplified to (/ (+ N 1) N) 1545986148.084 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ N 1) N))))))) 1545986148.084 * * * * [misc]progress: [ 9 / 71 ] simplifiying candidate # 1545986148.085 * * * * [misc]progress: [ 10 / 71 ] simplifiying candidate # 1545986148.085 * * * * [misc]progress: [ 11 / 71 ] simplifiying candidate # 1545986148.085 * * * * [misc]progress: [ 12 / 71 ] simplifiying candidate # 1545986148.085 * * * * [misc]progress: [ 13 / 71 ] simplifiying candidate # 1545986148.085 * * * * [misc]progress: [ 14 / 71 ] simplifiying candidate # 1545986148.085 * * * * [misc]progress: [ 15 / 71 ] simplifiying candidate # 1545986148.085 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1545986148.085 * * [misc]simplify: iters left: 6 (7 enodes) 1545986148.087 * * [misc]simplify: iters left: 5 (12 enodes) 1545986148.090 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1545986148.090 * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N))))) (log (/ (+ 1 N) N))))))) 1545986148.091 * * * * [misc]progress: [ 16 / 71 ] simplifiying candidate # 1545986148.091 * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) 1545986148.091 * * [misc]simplify: iters left: 6 (6 enodes) 1545986148.093 * * [misc]simplify: iters left: 5 (9 enodes) 1545986148.095 * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) 1545986148.095 * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) (log (/ (+ 1 N) N))))))) 1545986148.095 * * * * [misc]progress: [ 17 / 71 ] simplifiying candidate # 1545986148.096 * [enter]simplify: Simplifying (log 1) 1545986148.096 * * [misc]simplify: iters left: 1 (2 enodes) 1545986148.097 * [exit]simplify: Simplified to 0 1545986148.097 * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (+ 0 (log (/ (+ 1 N) N)))) (log (/ (+ 1 N) N))))))) 1545986148.097 * * * * [misc]progress: [ 18 / 71 ] simplifiying candidate # 1545986148.097 * [enter]simplify: Simplifying (log (+ 1 N)) 1545986148.097 * * [misc]simplify: iters left: 3 (4 enodes) 1545986148.099 * * [misc]simplify: iters left: 2 (7 enodes) 1545986148.100 * [exit]simplify: Simplified to (log (+ N 1)) 1545986148.100 * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (+ (log (+ N 1)) (log (/ 1 N)))) (log (/ (+ 1 N) N))))))) 1545986148.100 * * * * [misc]progress: [ 19 / 71 ] simplifiying candidate # 1545986148.101 * [enter]simplify: Simplifying (log (+ 1 N)) 1545986148.101 * * [misc]simplify: iters left: 3 (4 enodes) 1545986148.102 * * [misc]simplify: iters left: 2 (7 enodes) 1545986148.103 * [exit]simplify: Simplified to (log (+ N 1)) 1545986148.103 * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (- (log (+ N 1)) (log N))) (log (/ (+ 1 N) N))))))) 1545986148.103 * * * * [misc]progress: [ 20 / 71 ] simplifiying candidate # 1545986148.104 * * * * [misc]progress: [ 21 / 71 ] simplifiying candidate # 1545986148.104 * * * * [misc]progress: [ 22 / 71 ] simplifiying candidate # 1545986148.104 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1545986148.104 * * [misc]simplify: iters left: 4 (4 enodes) 1545986148.105 * * [misc]simplify: iters left: 3 (7 enodes) 1545986148.107 * [exit]simplify: Simplified to (/ (+ N 1) N) 1545986148.107 * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ N 1) N))) (log (/ (+ 1 N) N))))))) 1545986148.107 * * * * [misc]progress: [ 23 / 71 ] simplifiying candidate # 1545986148.107 * * * * [misc]progress: [ 24 / 71 ] simplifiying candidate # 1545986148.107 * * * * [misc]progress: [ 25 / 71 ] simplifiying candidate # 1545986148.107 * * * * [misc]progress: [ 26 / 71 ] simplifiying candidate # 1545986148.107 * * * * [misc]progress: [ 27 / 71 ] simplifiying candidate # 1545986148.107 * * * * [misc]progress: [ 28 / 71 ] simplifiying candidate # 1545986148.107 * * * * [misc]progress: [ 29 / 71 ] simplifiying candidate # 1545986148.107 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1545986148.108 * * [misc]simplify: iters left: 6 (7 enodes) 1545986148.110 * * [misc]simplify: iters left: 5 (12 enodes) 1545986148.112 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1545986148.113 * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (N) (exp (log (cbrt (* (* (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N)))) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))))) 1545986148.113 * * * * [misc]progress: [ 30 / 71 ] simplifiying candidate # 1545986148.113 * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) 1545986148.113 * * [misc]simplify: iters left: 6 (6 enodes) 1545986148.115 * * [misc]simplify: iters left: 5 (9 enodes) 1545986148.116 * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) 1545986148.116 * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (N) (exp (log (cbrt (* (* (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N)))) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))))) 1545986148.116 * * * * [misc]progress: [ 31 / 71 ] simplifiying candidate # 1545986148.116 * [enter]simplify: Simplifying (log 1) 1545986148.116 * * [misc]simplify: iters left: 1 (2 enodes) 1545986148.117 * [exit]simplify: Simplified to 0 1545986148.117 * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (N) (exp (log (cbrt (* (* (+ 0 (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))))) 1545986148.118 * * * * [misc]progress: [ 32 / 71 ] simplifiying candidate # 1545986148.118 * [enter]simplify: Simplifying (log (+ 1 N)) 1545986148.118 * * [misc]simplify: iters left: 3 (4 enodes) 1545986148.119 * * [misc]simplify: iters left: 2 (7 enodes) 1545986148.119 * [exit]simplify: Simplified to (log (+ N 1)) 1545986148.119 * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (N) (exp (log (cbrt (* (* (+ (log (+ N 1)) (log (/ 1 N))) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))))) 1545986148.120 * * * * [misc]progress: [ 33 / 71 ] simplifiying candidate # 1545986148.120 * [enter]simplify: Simplifying (log (+ 1 N)) 1545986148.120 * * [misc]simplify: iters left: 3 (4 enodes) 1545986148.120 * * [misc]simplify: iters left: 2 (7 enodes) 1545986148.122 * [exit]simplify: Simplified to (log (+ N 1)) 1545986148.122 * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (N) (exp (log (cbrt (* (* (- (log (+ N 1)) (log N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))))) 1545986148.122 * * * * [misc]progress: [ 34 / 71 ] simplifiying candidate # 1545986148.122 * * * * [misc]progress: [ 35 / 71 ] simplifiying candidate # 1545986148.122 * * * * [misc]progress: [ 36 / 71 ] simplifiying candidate # 1545986148.122 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1545986148.122 * * [misc]simplify: iters left: 4 (4 enodes) 1545986148.123 * * [misc]simplify: iters left: 3 (7 enodes) 1545986148.124 * [exit]simplify: Simplified to (/ (+ N 1) N) 1545986148.124 * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ N 1) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))))) 1545986148.124 * * * * [misc]progress: [ 37 / 71 ] simplifiying candidate # 1545986148.124 * * * * [misc]progress: [ 38 / 71 ] simplifiying candidate # 1545986148.124 * * * * [misc]progress: [ 39 / 71 ] simplifiying candidate # 1545986148.124 * * * * [misc]progress: [ 40 / 71 ] simplifiying candidate # 1545986148.124 * * * * [misc]progress: [ 41 / 71 ] simplifiying candidate # 1545986148.124 * * * * [misc]progress: [ 42 / 71 ] simplifiying candidate # 1545986148.124 * * * * [misc]progress: [ 43 / 71 ] simplifiying candidate # 1545986148.124 * * * * [misc]progress: [ 44 / 71 ] simplifiying candidate # 1545986148.124 * [enter]simplify: Simplifying (exp 1/3) 1545986148.124 * * [misc]simplify: iters left: 1 (2 enodes) 1545986148.125 * [exit]simplify: Simplified to (exp 1/3) 1545986148.125 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (exp 1/3) (log (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)))))) 1545986148.125 * * * * [misc]progress: [ 45 / 71 ] simplifiying candidate # 1545986148.125 * [enter]simplify: Simplifying (exp 1) 1545986148.125 * * [misc]simplify: iters left: 1 (2 enodes) 1545986148.126 * [exit]simplify: Simplified to E 1545986148.126 * [misc]simplify: Simplified (2 1) to (λ (N) (pow E (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))))) 1545986148.126 * * * * [misc]progress: [ 46 / 71 ] simplifiying candidate # 1545986148.126 * [enter]simplify: Simplifying (exp (* (cbrt (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)))))) (cbrt (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)))))))) 1545986148.126 * * [misc]simplify: iters left: 6 (12 enodes) 1545986148.128 * * [misc]simplify: iters left: 5 (21 enodes) 1545986148.131 * * [misc]simplify: iters left: 4 (25 enodes) 1545986148.134 * * [misc]simplify: iters left: 3 (38 enodes) 1545986148.142 * * [misc]simplify: iters left: 2 (94 enodes) 1545986148.188 * * [misc]simplify: iters left: 1 (310 enodes) 1545986148.442 * [exit]simplify: Simplified to (exp (* (cbrt (log (log (/ (+ N 1) N)))) (cbrt (log (log (/ (+ N 1) N)))))) 1545986148.442 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (exp (* (cbrt (log (log (/ (+ N 1) N)))) (cbrt (log (log (/ (+ N 1) N)))))) (cbrt (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)))))))) 1545986148.442 * * * * [misc]progress: [ 47 / 71 ] simplifiying candidate # 1545986148.443 * [enter]simplify: Simplifying (exp (sqrt (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))))) 1545986148.443 * * [misc]simplify: iters left: 6 (11 enodes) 1545986148.445 * * [misc]simplify: iters left: 5 (18 enodes) 1545986148.447 * * [misc]simplify: iters left: 4 (22 enodes) 1545986148.451 * * [misc]simplify: iters left: 3 (35 enodes) 1545986148.461 * * [misc]simplify: iters left: 2 (91 enodes) 1545986148.492 * * [misc]simplify: iters left: 1 (296 enodes) 1545986148.669 * [exit]simplify: Simplified to (exp (sqrt (log (log (/ (+ N 1) N))))) 1545986148.669 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (exp (sqrt (log (log (/ (+ N 1) N))))) (sqrt (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)))))))) 1545986148.669 * * * * [misc]progress: [ 48 / 71 ] simplifiying candidate # 1545986148.669 * [enter]simplify: Simplifying (exp 1) 1545986148.669 * * [misc]simplify: iters left: 1 (2 enodes) 1545986148.670 * [exit]simplify: Simplified to E 1545986148.670 * [misc]simplify: Simplified (2 1) to (λ (N) (pow E (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))))) 1545986148.670 * * * * [misc]progress: [ 49 / 71 ] simplifiying candidate # 1545986148.670 * [enter]simplify: Simplifying (exp (log (cbrt (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)))))) 1545986148.670 * * [misc]simplify: iters left: 6 (9 enodes) 1545986148.671 * * [misc]simplify: iters left: 5 (15 enodes) 1545986148.673 * * [misc]simplify: iters left: 4 (17 enodes) 1545986148.675 * * [misc]simplify: iters left: 3 (24 enodes) 1545986148.679 * * [misc]simplify: iters left: 2 (42 enodes) 1545986148.686 * * [misc]simplify: iters left: 1 (88 enodes) 1545986148.719 * [exit]simplify: Simplified to (cbrt (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N)))) 1545986148.719 * [misc]simplify: Simplified (2 1) to (λ (N) (* (cbrt (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N)))) (exp (log (cbrt (log (/ (+ 1 N) N))))))) 1545986148.719 * * * * [misc]progress: [ 50 / 71 ] simplifiying candidate # 1545986148.719 * [enter]simplify: Simplifying (exp (log (* (cbrt (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))) (cbrt (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)))))))) 1545986148.719 * * [misc]simplify: iters left: 6 (12 enodes) 1545986148.723 * * [misc]simplify: iters left: 5 (21 enodes) 1545986148.728 * * [misc]simplify: iters left: 4 (27 enodes) 1545986148.736 * * [misc]simplify: iters left: 3 (40 enodes) 1545986148.750 * * [misc]simplify: iters left: 2 (96 enodes) 1545986148.803 * * [misc]simplify: iters left: 1 (308 enodes) 1545986149.058 * [exit]simplify: Simplified to (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) 1545986149.058 * [misc]simplify: Simplified (2 1) to (λ (N) (* (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (exp (log (cbrt (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))))))) 1545986149.058 * * * * [misc]progress: [ 51 / 71 ] simplifiying candidate # 1545986149.058 * [enter]simplify: Simplifying (exp (log (sqrt (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))))) 1545986149.059 * * [misc]simplify: iters left: 6 (11 enodes) 1545986149.062 * * [misc]simplify: iters left: 5 (18 enodes) 1545986149.069 * * [misc]simplify: iters left: 4 (22 enodes) 1545986149.075 * * [misc]simplify: iters left: 3 (35 enodes) 1545986149.089 * * [misc]simplify: iters left: 2 (91 enodes) 1545986149.140 * * [misc]simplify: iters left: 1 (296 enodes) 1545986149.381 * [exit]simplify: Simplified to (sqrt (log (/ (+ N 1) N))) 1545986149.381 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (exp (log (sqrt (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))))))) 1545986149.381 * * * * [misc]progress: [ 52 / 71 ] simplifiying candidate # 1545986149.381 * [enter]simplify: Simplifying (exp (log 1)) 1545986149.381 * * [misc]simplify: iters left: 2 (3 enodes) 1545986149.383 * * [misc]simplify: iters left: 1 (5 enodes) 1545986149.384 * [exit]simplify: Simplified to 1 1545986149.384 * [misc]simplify: Simplified (2 1) to (λ (N) (* 1 (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)))))))) 1545986149.384 * * * * [misc]progress: [ 53 / 71 ] simplifiying candidate # 1545986149.384 * [enter]simplify: Simplifying (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) 1545986149.385 * * [misc]simplify: iters left: 6 (7 enodes) 1545986149.387 * * [misc]simplify: iters left: 5 (14 enodes) 1545986149.389 * * [misc]simplify: iters left: 4 (18 enodes) 1545986149.392 * * [misc]simplify: iters left: 3 (31 enodes) 1545986149.398 * * [misc]simplify: iters left: 2 (87 enodes) 1545986149.428 * * [misc]simplify: iters left: 1 (303 enodes) 1545986149.620 * [exit]simplify: Simplified to (pow (log (/ (+ N 1) N)) 3) 1545986149.620 * [misc]simplify: Simplified (2 1) to (λ (N) (cbrt (pow (log (/ (+ N 1) N)) 3))) 1545986149.620 * * * * [misc]progress: [ 54 / 71 ] simplifiying candidate # 1545986149.620 * * * * [misc]progress: [ 55 / 71 ] simplifiying candidate # 1545986149.621 * * * * [misc]progress: [ 56 / 71 ] simplifiying candidate # 1545986149.621 * * * * [misc]progress: [ 57 / 71 ] simplifiying candidate # 1545986149.621 * * * * [misc]progress: [ 58 / 71 ] simplifiying candidate # 1545986149.621 * * * * [misc]progress: [ 59 / 71 ] simplifiying candidate # 1545986149.621 * * * * [misc]progress: [ 60 / 71 ] simplifiying candidate # 1545986149.621 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986149.621 * * [misc]simplify: iters left: 6 (8 enodes) 1545986149.622 * * [misc]simplify: iters left: 5 (15 enodes) 1545986149.624 * * [misc]simplify: iters left: 4 (27 enodes) 1545986149.631 * * [misc]simplify: iters left: 3 (52 enodes) 1545986149.646 * * [misc]simplify: iters left: 2 (73 enodes) 1545986149.666 * * [misc]simplify: iters left: 1 (90 enodes) 1545986149.699 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1545986149.699 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (- (* (* N -1/2) N) (- (log N) N))))))) 1545986149.699 * * * * [misc]progress: [ 61 / 71 ] simplifiying candidate # 1545986149.700 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986149.700 * * [misc]simplify: iters left: 6 (15 enodes) 1545986149.707 * * [misc]simplify: iters left: 5 (31 enodes) 1545986149.720 * * [misc]simplify: iters left: 4 (57 enodes) 1545986149.738 * * [misc]simplify: iters left: 3 (89 enodes) 1545986149.755 * * [misc]simplify: iters left: 2 (137 enodes) 1545986149.775 * * [misc]simplify: iters left: 1 (207 enodes) 1545986149.809 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986149.810 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))))))) 1545986149.810 * * * * [misc]progress: [ 62 / 71 ] simplifiying candidate # 1545986149.810 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986149.810 * * [misc]simplify: iters left: 6 (15 enodes) 1545986149.813 * * [misc]simplify: iters left: 5 (31 enodes) 1545986149.820 * * [misc]simplify: iters left: 4 (57 enodes) 1545986149.830 * * [misc]simplify: iters left: 3 (89 enodes) 1545986149.857 * * [misc]simplify: iters left: 2 (137 enodes) 1545986149.898 * * [misc]simplify: iters left: 1 (207 enodes) 1545986149.938 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986149.939 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))))))) 1545986149.939 * * * * [misc]progress: [ 63 / 71 ] simplifiying candidate # 1545986149.939 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986149.939 * * [misc]simplify: iters left: 6 (8 enodes) 1545986149.941 * * [misc]simplify: iters left: 5 (15 enodes) 1545986149.946 * * [misc]simplify: iters left: 4 (27 enodes) 1545986149.955 * * [misc]simplify: iters left: 3 (52 enodes) 1545986149.971 * * [misc]simplify: iters left: 2 (73 enodes) 1545986149.991 * * [misc]simplify: iters left: 1 (90 enodes) 1545986150.024 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1545986150.024 * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (- (* (* N -1/2) N) (- (log N) N))) (log (/ (+ 1 N) N))))))) 1545986150.024 * * * * [misc]progress: [ 64 / 71 ] simplifiying candidate # 1545986150.025 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986150.025 * * [misc]simplify: iters left: 6 (15 enodes) 1545986150.032 * * [misc]simplify: iters left: 5 (31 enodes) 1545986150.045 * * [misc]simplify: iters left: 4 (57 enodes) 1545986150.063 * * [misc]simplify: iters left: 3 (89 enodes) 1545986150.093 * * [misc]simplify: iters left: 2 (137 enodes) 1545986150.129 * * [misc]simplify: iters left: 1 (207 enodes) 1545986150.199 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986150.199 * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) (log (/ (+ 1 N) N))))))) 1545986150.200 * * * * [misc]progress: [ 65 / 71 ] simplifiying candidate # 1545986150.200 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986150.200 * * [misc]simplify: iters left: 6 (15 enodes) 1545986150.207 * * [misc]simplify: iters left: 5 (31 enodes) 1545986150.219 * * [misc]simplify: iters left: 4 (57 enodes) 1545986150.233 * * [misc]simplify: iters left: 3 (89 enodes) 1545986150.247 * * [misc]simplify: iters left: 2 (137 enodes) 1545986150.269 * * [misc]simplify: iters left: 1 (207 enodes) 1545986150.303 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986150.303 * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (N) (exp (log (cbrt (* (* (log (/ (+ 1 N) N)) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) (log (/ (+ 1 N) N))))))) 1545986150.303 * * * * [misc]progress: [ 66 / 71 ] simplifiying candidate # 1545986150.303 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986150.303 * * [misc]simplify: iters left: 6 (8 enodes) 1545986150.304 * * [misc]simplify: iters left: 5 (15 enodes) 1545986150.307 * * [misc]simplify: iters left: 4 (27 enodes) 1545986150.316 * * [misc]simplify: iters left: 3 (52 enodes) 1545986150.330 * * [misc]simplify: iters left: 2 (73 enodes) 1545986150.349 * * [misc]simplify: iters left: 1 (90 enodes) 1545986150.371 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1545986150.371 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (N) (exp (log (cbrt (* (* (- (* (* N -1/2) N) (- (log N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))))) 1545986150.371 * * * * [misc]progress: [ 67 / 71 ] simplifiying candidate # 1545986150.371 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986150.371 * * [misc]simplify: iters left: 6 (15 enodes) 1545986150.375 * * [misc]simplify: iters left: 5 (31 enodes) 1545986150.382 * * [misc]simplify: iters left: 4 (57 enodes) 1545986150.391 * * [misc]simplify: iters left: 3 (89 enodes) 1545986150.405 * * [misc]simplify: iters left: 2 (137 enodes) 1545986150.437 * * [misc]simplify: iters left: 1 (207 enodes) 1545986150.501 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986150.501 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (N) (exp (log (cbrt (* (* (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))))) 1545986150.501 * * * * [misc]progress: [ 68 / 71 ] simplifiying candidate # 1545986150.501 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986150.502 * * [misc]simplify: iters left: 6 (15 enodes) 1545986150.509 * * [misc]simplify: iters left: 5 (31 enodes) 1545986150.522 * * [misc]simplify: iters left: 4 (57 enodes) 1545986150.540 * * [misc]simplify: iters left: 3 (89 enodes) 1545986150.569 * * [misc]simplify: iters left: 2 (137 enodes) 1545986150.605 * * [misc]simplify: iters left: 1 (207 enodes) 1545986150.645 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986150.645 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (N) (exp (log (cbrt (* (* (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))))))) 1545986150.645 * * * * [misc]progress: [ 69 / 71 ] simplifiying candidate # 1545986150.645 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1545986150.645 * * [misc]simplify: iters left: 6 (8 enodes) 1545986150.648 * * [misc]simplify: iters left: 5 (15 enodes) 1545986150.653 * * [misc]simplify: iters left: 4 (27 enodes) 1545986150.663 * * [misc]simplify: iters left: 3 (52 enodes) 1545986150.674 * * [misc]simplify: iters left: 2 (73 enodes) 1545986150.684 * * [misc]simplify: iters left: 1 (90 enodes) 1545986150.702 * [exit]simplify: Simplified to (- (* (* N -1/2) N) (- (log N) N)) 1545986150.702 * [misc]simplify: Simplified (2) to (λ (N) (- (* (* N -1/2) N) (- (log N) N))) 1545986150.702 * * * * [misc]progress: [ 70 / 71 ] simplifiying candidate # 1545986150.702 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986150.702 * * [misc]simplify: iters left: 6 (15 enodes) 1545986150.706 * * [misc]simplify: iters left: 5 (31 enodes) 1545986150.713 * * [misc]simplify: iters left: 4 (57 enodes) 1545986150.722 * * [misc]simplify: iters left: 3 (89 enodes) 1545986150.737 * * [misc]simplify: iters left: 2 (137 enodes) 1545986150.775 * * [misc]simplify: iters left: 1 (207 enodes) 1545986150.817 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986150.817 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1545986150.817 * * * * [misc]progress: [ 71 / 71 ] simplifiying candidate # 1545986150.817 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545986150.817 * * [misc]simplify: iters left: 6 (15 enodes) 1545986150.821 * * [misc]simplify: iters left: 5 (31 enodes) 1545986150.829 * * [misc]simplify: iters left: 4 (57 enodes) 1545986150.838 * * [misc]simplify: iters left: 3 (89 enodes) 1545986150.854 * * [misc]simplify: iters left: 2 (137 enodes) 1545986150.883 * * [misc]simplify: iters left: 1 (207 enodes) 1545986150.914 * [exit]simplify: Simplified to (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N)))) 1545986150.914 * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (* (/ 1 (* N N)) (- 1/2 (/ 1/3 N))))) 1545986150.914 * * * [misc]progress: adding candidates to table 1545986151.624 * [misc]progress: [Phase 3 of 3] Extracting. 1545986151.624 * * [misc]regime: Finding splitpoints for: (# # # #) 1545986151.624 * * * [misc]regime-changes: Trying 1 branch expressions: (N) 1545986151.624 * * * * [misc]regimes: Trying to branch on N from (# # # #) 1545986151.654 * * * [misc]regime: Found split indices: #