1536827935.455 * [misc]progress: [Phase 1 of 3] Setting up. 1536827935.455 * * * [misc]progress: [1/2] Preparing points 1536827935.455 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1536827935.482 * * * * [misc]points: Filtering points with unrepresentable outputs 1536827935.482 * * * * [misc]points: Sampling 134 additional inputs, on iter 1 have 122 / 256 1536827935.503 * * * * [misc]points: Filtering points with unrepresentable outputs 1536827935.503 * * * * [misc]points: Sampling 63 additional inputs, on iter 2 have 193 / 256 1536827935.519 * * * * [misc]points: Filtering points with unrepresentable outputs 1536827935.519 * * * * [misc]points: Sampling 32 additional inputs, on iter 3 have 224 / 256 1536827935.525 * * * * [misc]points: Filtering points with unrepresentable outputs 1536827935.525 * * * * [misc]points: Sampling 17 additional inputs, on iter 4 have 239 / 256 1536827935.527 * * * * [misc]points: Filtering points with unrepresentable outputs 1536827935.527 * * * * [misc]points: Sampling 9 additional inputs, on iter 5 have 247 / 256 1536827935.530 * * * * [misc]points: Filtering points with unrepresentable outputs 1536827935.530 * * * * [misc]points: Sampling 5 additional inputs, on iter 6 have 251 / 256 1536827935.531 * * * * [misc]points: Filtering points with unrepresentable outputs 1536827935.531 * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 255 / 256 1536827935.532 * * * * [misc]points: Filtering points with unrepresentable outputs 1536827935.532 * * * * [exit]points: Sampled 256 points with exact outputs 1536827935.532 * * * [misc]progress: [2/2] Setting up program. 1536827935.535 * [misc]progress: [Phase 2 of 3] Improving. 1536827935.535 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1536827935.536 * * [misc]simplify: iters left: 5 (6 enodes) 1536827935.537 * * [misc]simplify: iters left: 4 (11 enodes) 1536827935.539 * * [misc]simplify: iters left: 3 (13 enodes) 1536827935.541 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1536827935.547 * * [misc]progress: iteration 1 / 4 1536827935.547 * * * [misc]progress: picking best candidate 1536827935.551 * * * * [misc]pick: Picked # 1536827935.551 * * * [misc]progress: localizing error 1536827935.580 * * * [misc]progress: generating rewritten candidates 1536827935.580 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) 1536827935.611 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) 1536827935.671 * * * [misc]progress: generating series expansions 1536827935.671 * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) 1536827935.671 * [misc]backup-simplify: Simplify (log (+ N 1)) into (log (+ N 1)) 1536827935.671 * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1536827935.671 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1536827935.671 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827935.671 * [misc]taylor: Taking taylor expansion of N in N 1536827935.671 * [misc]backup-simplify: Simplify 0 into 0 1536827935.671 * [misc]backup-simplify: Simplify 1 into 1 1536827935.671 * [misc]taylor: Taking taylor expansion of 1 in N 1536827935.671 * [misc]backup-simplify: Simplify 1 into 1 1536827935.671 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827935.672 * [misc]backup-simplify: Simplify (log 1) into 0 1536827935.672 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1536827935.672 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827935.672 * [misc]taylor: Taking taylor expansion of N in N 1536827935.672 * [misc]backup-simplify: Simplify 0 into 0 1536827935.672 * [misc]backup-simplify: Simplify 1 into 1 1536827935.672 * [misc]taylor: Taking taylor expansion of 1 in N 1536827935.672 * [misc]backup-simplify: Simplify 1 into 1 1536827935.672 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827935.672 * [misc]backup-simplify: Simplify (log 1) into 0 1536827935.672 * [misc]backup-simplify: Simplify 0 into 0 1536827935.672 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827935.674 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1536827935.674 * [misc]backup-simplify: Simplify 1 into 1 1536827935.674 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827935.677 * [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 1536827935.677 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827935.677 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827935.684 * [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 1536827935.684 * [misc]backup-simplify: Simplify 1/3 into 1/3 1536827935.685 * [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))) 1536827935.685 * [misc]backup-simplify: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 1536827935.685 * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1536827935.685 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1536827935.685 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827935.685 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827935.685 * [misc]taylor: Taking taylor expansion of N in N 1536827935.685 * [misc]backup-simplify: Simplify 0 into 0 1536827935.685 * [misc]backup-simplify: Simplify 1 into 1 1536827935.685 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827935.685 * [misc]taylor: Taking taylor expansion of 1 in N 1536827935.685 * [misc]backup-simplify: Simplify 1 into 1 1536827935.685 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827935.685 * [misc]backup-simplify: Simplify (log 1) into 0 1536827935.686 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1536827935.686 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827935.686 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827935.686 * [misc]taylor: Taking taylor expansion of N in N 1536827935.686 * [misc]backup-simplify: Simplify 0 into 0 1536827935.686 * [misc]backup-simplify: Simplify 1 into 1 1536827935.686 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827935.686 * [misc]taylor: Taking taylor expansion of 1 in N 1536827935.686 * [misc]backup-simplify: Simplify 1 into 1 1536827935.686 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827935.686 * [misc]backup-simplify: Simplify (log 1) into 0 1536827935.686 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1536827935.687 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1536827935.687 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827935.687 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827935.690 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1536827935.690 * [misc]backup-simplify: Simplify 1 into 1 1536827935.690 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827935.691 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827935.693 * [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 1536827935.693 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827935.694 * [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)))) 1536827935.694 * [misc]backup-simplify: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 1536827935.694 * [misc]approximate: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1536827935.694 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1536827935.694 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827935.694 * [misc]taylor: Taking taylor expansion of 1 in N 1536827935.694 * [misc]backup-simplify: Simplify 1 into 1 1536827935.694 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827935.694 * [misc]taylor: Taking taylor expansion of N in N 1536827935.694 * [misc]backup-simplify: Simplify 0 into 0 1536827935.694 * [misc]backup-simplify: Simplify 1 into 1 1536827935.694 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827935.694 * [misc]backup-simplify: Simplify (- 1) into -1 1536827935.694 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827935.694 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1536827935.694 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1536827935.694 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827935.694 * [misc]taylor: Taking taylor expansion of 1 in N 1536827935.694 * [misc]backup-simplify: Simplify 1 into 1 1536827935.695 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827935.695 * [misc]taylor: Taking taylor expansion of N in N 1536827935.695 * [misc]backup-simplify: Simplify 0 into 0 1536827935.695 * [misc]backup-simplify: Simplify 1 into 1 1536827935.695 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827935.695 * [misc]backup-simplify: Simplify (- 1) into -1 1536827935.695 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827935.695 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1536827935.695 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1536827935.695 * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1536827935.696 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827935.696 * [misc]backup-simplify: Simplify (- 0) into 0 1536827935.696 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827935.697 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1536827935.697 * [misc]backup-simplify: Simplify -1 into -1 1536827935.698 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827935.698 * [misc]backup-simplify: Simplify (- 0) into 0 1536827935.698 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827935.705 * [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 1536827935.705 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827935.705 * [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)))) 1536827935.705 * * * * [misc]progress: [ 2 / 2 ] generating series at (2) 1536827935.706 * [misc]backup-simplify: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 1536827935.706 * [misc]approximate: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 1536827935.706 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1536827935.706 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1536827935.706 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827935.706 * [misc]taylor: Taking taylor expansion of N in N 1536827935.706 * [misc]backup-simplify: Simplify 0 into 0 1536827935.706 * [misc]backup-simplify: Simplify 1 into 1 1536827935.706 * [misc]taylor: Taking taylor expansion of 1 in N 1536827935.706 * [misc]backup-simplify: Simplify 1 into 1 1536827935.706 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827935.706 * [misc]backup-simplify: Simplify (log 1) into 0 1536827935.706 * [misc]taylor: Taking taylor expansion of (log N) in N 1536827935.706 * [misc]taylor: Taking taylor expansion of N in N 1536827935.706 * [misc]backup-simplify: Simplify 0 into 0 1536827935.706 * [misc]backup-simplify: Simplify 1 into 1 1536827935.706 * [misc]backup-simplify: Simplify (log 1) into 0 1536827935.706 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1536827935.706 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1536827935.706 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827935.706 * [misc]taylor: Taking taylor expansion of N in N 1536827935.706 * [misc]backup-simplify: Simplify 0 into 0 1536827935.706 * [misc]backup-simplify: Simplify 1 into 1 1536827935.706 * [misc]taylor: Taking taylor expansion of 1 in N 1536827935.706 * [misc]backup-simplify: Simplify 1 into 1 1536827935.706 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827935.706 * [misc]backup-simplify: Simplify (log 1) into 0 1536827935.706 * [misc]taylor: Taking taylor expansion of (log N) in N 1536827935.706 * [misc]taylor: Taking taylor expansion of N in N 1536827935.707 * [misc]backup-simplify: Simplify 0 into 0 1536827935.707 * [misc]backup-simplify: Simplify 1 into 1 1536827935.707 * [misc]backup-simplify: Simplify (log 1) into 0 1536827935.707 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1536827935.707 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1536827935.707 * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) 1536827935.707 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1536827935.707 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827935.709 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1536827935.710 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1536827935.710 * [misc]backup-simplify: Simplify (- 0) into 0 1536827935.710 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827935.710 * [misc]backup-simplify: Simplify 1 into 1 1536827935.711 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827935.713 * [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 1536827935.716 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1536827935.716 * [misc]backup-simplify: Simplify (- 0) into 0 1536827935.716 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1536827935.716 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827935.716 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1536827935.716 * [misc]backup-simplify: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 1536827935.716 * [misc]approximate: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 1536827935.716 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1536827935.716 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1536827935.716 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827935.716 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827935.716 * [misc]taylor: Taking taylor expansion of N in N 1536827935.717 * [misc]backup-simplify: Simplify 0 into 0 1536827935.717 * [misc]backup-simplify: Simplify 1 into 1 1536827935.717 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827935.717 * [misc]taylor: Taking taylor expansion of 1 in N 1536827935.717 * [misc]backup-simplify: Simplify 1 into 1 1536827935.717 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827935.717 * [misc]backup-simplify: Simplify (log 1) into 0 1536827935.717 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1536827935.717 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827935.717 * [misc]taylor: Taking taylor expansion of N in N 1536827935.717 * [misc]backup-simplify: Simplify 0 into 0 1536827935.717 * [misc]backup-simplify: Simplify 1 into 1 1536827935.717 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827935.717 * [misc]backup-simplify: Simplify (log 1) into 0 1536827935.717 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1536827935.717 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1536827935.717 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827935.717 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827935.717 * [misc]taylor: Taking taylor expansion of N in N 1536827935.717 * [misc]backup-simplify: Simplify 0 into 0 1536827935.717 * [misc]backup-simplify: Simplify 1 into 1 1536827935.717 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827935.717 * [misc]taylor: Taking taylor expansion of 1 in N 1536827935.717 * [misc]backup-simplify: Simplify 1 into 1 1536827935.718 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827935.718 * [misc]backup-simplify: Simplify (log 1) into 0 1536827935.718 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1536827935.718 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827935.718 * [misc]taylor: Taking taylor expansion of N in N 1536827935.718 * [misc]backup-simplify: Simplify 0 into 0 1536827935.718 * [misc]backup-simplify: Simplify 1 into 1 1536827935.718 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827935.718 * [misc]backup-simplify: Simplify (log 1) into 0 1536827935.718 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1536827935.718 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1536827935.718 * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) 1536827935.718 * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 1536827935.718 * [misc]backup-simplify: Simplify 0 into 0 1536827935.719 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827935.719 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827935.720 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1536827935.720 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827935.722 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1536827935.722 * [misc]backup-simplify: Simplify (- 0) into 0 1536827935.722 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827935.722 * [misc]backup-simplify: Simplify 1 into 1 1536827935.723 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827935.723 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827935.726 * [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 1536827935.726 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827935.730 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1536827935.730 * [misc]backup-simplify: Simplify (- 0) into 0 1536827935.730 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1536827935.730 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827935.731 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827935.731 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827935.737 * [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 1536827935.737 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827935.741 * [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 1536827935.742 * [misc]backup-simplify: Simplify (- 0) into 0 1536827935.742 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1536827935.742 * [misc]backup-simplify: Simplify 1/3 into 1/3 1536827935.742 * [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)))) 1536827935.742 * [misc]backup-simplify: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 1536827935.742 * [misc]approximate: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 1536827935.742 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1536827935.742 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1536827935.742 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827935.742 * [misc]taylor: Taking taylor expansion of 1 in N 1536827935.742 * [misc]backup-simplify: Simplify 1 into 1 1536827935.742 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827935.742 * [misc]taylor: Taking taylor expansion of N in N 1536827935.742 * [misc]backup-simplify: Simplify 0 into 0 1536827935.742 * [misc]backup-simplify: Simplify 1 into 1 1536827935.743 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827935.743 * [misc]backup-simplify: Simplify (- 1) into -1 1536827935.743 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827935.743 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1536827935.743 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1536827935.743 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1536827935.743 * [misc]taylor: Taking taylor expansion of -1 in N 1536827935.743 * [misc]backup-simplify: Simplify -1 into -1 1536827935.743 * [misc]taylor: Taking taylor expansion of N in N 1536827935.743 * [misc]backup-simplify: Simplify 0 into 0 1536827935.743 * [misc]backup-simplify: Simplify 1 into 1 1536827935.743 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536827935.743 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1536827935.743 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1536827935.743 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1536827935.743 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827935.743 * [misc]taylor: Taking taylor expansion of 1 in N 1536827935.743 * [misc]backup-simplify: Simplify 1 into 1 1536827935.743 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827935.743 * [misc]taylor: Taking taylor expansion of N in N 1536827935.743 * [misc]backup-simplify: Simplify 0 into 0 1536827935.743 * [misc]backup-simplify: Simplify 1 into 1 1536827935.743 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827935.744 * [misc]backup-simplify: Simplify (- 1) into -1 1536827935.744 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827935.744 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1536827935.744 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1536827935.744 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1536827935.744 * [misc]taylor: Taking taylor expansion of -1 in N 1536827935.744 * [misc]backup-simplify: Simplify -1 into -1 1536827935.744 * [misc]taylor: Taking taylor expansion of N in N 1536827935.744 * [misc]backup-simplify: Simplify 0 into 0 1536827935.744 * [misc]backup-simplify: Simplify 1 into 1 1536827935.744 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536827935.744 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1536827935.744 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1536827935.745 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1536827935.745 * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1536827935.745 * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1536827935.745 * [misc]backup-simplify: Simplify 0 into 0 1536827935.745 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827935.745 * [misc]backup-simplify: Simplify (- 0) into 0 1536827935.745 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827935.747 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1536827935.747 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1536827935.748 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1536827935.749 * [misc]backup-simplify: Simplify (- 0) into 0 1536827935.749 * [misc]backup-simplify: Simplify (+ -1 0) into -1 1536827935.749 * [misc]backup-simplify: Simplify -1 into -1 1536827935.749 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827935.749 * [misc]backup-simplify: Simplify (- 0) into 0 1536827935.749 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827935.752 * [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 1536827935.752 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827935.754 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1536827935.754 * [misc]backup-simplify: Simplify (- 0) into 0 1536827935.755 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1536827935.755 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827935.755 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827935.755 * [misc]backup-simplify: Simplify (- 0) into 0 1536827935.755 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827935.759 * [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 1536827935.759 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827935.763 * [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 1536827935.764 * [misc]backup-simplify: Simplify (- 0) into 0 1536827935.764 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1536827935.764 * [misc]backup-simplify: Simplify -1/3 into -1/3 1536827935.764 * [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)))) 1536827935.764 * * * [misc]progress: simplifying candidates 1536827935.764 * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # 1536827935.764 * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # 1536827935.764 * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # 1536827935.764 * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1536827935.765 * * [misc]simplify: iters left: 6 (6 enodes) 1536827935.766 * * [misc]simplify: iters left: 5 (11 enodes) 1536827935.768 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1536827935.768 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ N 1)))) (log N))) 1536827935.768 * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # 1536827935.768 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1536827935.769 * * [misc]simplify: iters left: 4 (5 enodes) 1536827935.770 * * [misc]simplify: iters left: 3 (8 enodes) 1536827935.771 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1536827935.771 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (sqrt (+ 1 N))) (log (sqrt (+ N 1)))) (log N))) 1536827935.771 * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # 1536827935.771 * [enter]simplify: Simplifying (log 1) 1536827935.771 * * [misc]simplify: iters left: 1 (2 enodes) 1536827935.772 * [exit]simplify: Simplified to 0 1536827935.772 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ 0 (log (+ N 1))) (log N))) 1536827935.772 * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # 1536827935.772 * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) 1536827935.773 * * [misc]simplify: iters left: 4 (7 enodes) 1536827935.775 * * [misc]simplify: iters left: 3 (15 enodes) 1536827935.777 * * [misc]simplify: iters left: 2 (18 enodes) 1536827935.779 * [exit]simplify: Simplified to (log1p (pow N 3)) 1536827935.779 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log1p (pow N 3)) (log (+ (* N N) (- (* 1 1) (* N 1))))) (log N))) 1536827935.779 * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # 1536827935.779 * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) 1536827935.780 * * [misc]simplify: iters left: 5 (6 enodes) 1536827935.782 * * [misc]simplify: iters left: 4 (13 enodes) 1536827935.785 * * [misc]simplify: iters left: 3 (20 enodes) 1536827935.788 * * [misc]simplify: iters left: 2 (27 enodes) 1536827935.796 * * [misc]simplify: iters left: 1 (45 enodes) 1536827935.825 * [exit]simplify: Simplified to (log (fma N N -1)) 1536827935.825 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (fma N N -1)) (log (- N 1))) (log N))) 1536827935.825 * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # 1536827935.825 * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # 1536827935.825 * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # 1536827935.825 * [enter]simplify: Simplifying (+ N 1) 1536827935.825 * * [misc]simplify: iters left: 2 (3 enodes) 1536827935.826 * * [misc]simplify: iters left: 1 (6 enodes) 1536827935.827 * [exit]simplify: Simplified to (+ 1 N) 1536827935.827 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (log (+ 1 N)) (log N))) 1536827935.827 * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # 1536827935.827 * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # 1536827935.827 * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # 1536827935.827 * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # 1536827935.827 * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # 1536827935.827 * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # 1536827935.827 * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # 1536827935.827 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1536827935.828 * * [misc]simplify: iters left: 6 (10 enodes) 1536827935.831 * * [misc]simplify: iters left: 5 (22 enodes) 1536827935.835 * * [misc]simplify: iters left: 4 (30 enodes) 1536827935.841 * * [misc]simplify: iters left: 3 (38 enodes) 1536827935.845 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1536827935.845 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 1536827935.846 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1536827935.846 * * [misc]simplify: iters left: 6 (7 enodes) 1536827935.848 * * [misc]simplify: iters left: 5 (12 enodes) 1536827935.852 * * [misc]simplify: iters left: 4 (19 enodes) 1536827935.858 * * [misc]simplify: iters left: 3 (38 enodes) 1536827935.864 * * [misc]simplify: iters left: 2 (46 enodes) 1536827935.868 * [exit]simplify: Simplified to 0 1536827935.868 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1536827935.868 * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # 1536827935.868 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (sqrt (log N)) (sqrt (log N))))) 1536827935.869 * * [misc]simplify: iters left: 6 (9 enodes) 1536827935.871 * * [misc]simplify: iters left: 5 (17 enodes) 1536827935.874 * * [misc]simplify: iters left: 4 (22 enodes) 1536827935.879 * * [misc]simplify: iters left: 3 (28 enodes) 1536827935.882 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1536827935.882 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 1536827935.882 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1536827935.883 * * [misc]simplify: iters left: 5 (6 enodes) 1536827935.884 * * [misc]simplify: iters left: 4 (8 enodes) 1536827935.886 * * [misc]simplify: iters left: 3 (14 enodes) 1536827935.891 * * [misc]simplify: iters left: 2 (20 enodes) 1536827935.894 * * [misc]simplify: iters left: 1 (22 enodes) 1536827935.896 * [exit]simplify: Simplified to 0 1536827935.896 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1536827935.896 * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # 1536827935.896 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (log N) 1))) 1536827935.897 * * [misc]simplify: iters left: 6 (8 enodes) 1536827935.902 * * [misc]simplify: iters left: 5 (19 enodes) 1536827935.910 * * [misc]simplify: iters left: 4 (27 enodes) 1536827935.917 * * [misc]simplify: iters left: 3 (37 enodes) 1536827935.921 * * [misc]simplify: iters left: 2 (40 enodes) 1536827935.926 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1536827935.926 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1536827935.926 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1536827935.926 * * [misc]simplify: iters left: 4 (6 enodes) 1536827935.928 * * [misc]simplify: iters left: 3 (11 enodes) 1536827935.931 * * [misc]simplify: iters left: 2 (21 enodes) 1536827935.935 * * [misc]simplify: iters left: 1 (30 enodes) 1536827935.938 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1536827935.939 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1536827935.939 * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # 1536827935.939 * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1536827935.940 * * [misc]simplify: iters left: 6 (12 enodes) 1536827935.943 * * [misc]simplify: iters left: 5 (24 enodes) 1536827935.947 * * [misc]simplify: iters left: 4 (32 enodes) 1536827935.953 * * [misc]simplify: iters left: 3 (38 enodes) 1536827935.957 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1536827935.957 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 1536827935.958 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1536827935.958 * * [misc]simplify: iters left: 6 (7 enodes) 1536827935.960 * * [misc]simplify: iters left: 5 (12 enodes) 1536827935.962 * * [misc]simplify: iters left: 4 (19 enodes) 1536827935.967 * * [misc]simplify: iters left: 3 (38 enodes) 1536827935.975 * * [misc]simplify: iters left: 2 (46 enodes) 1536827935.979 * [exit]simplify: Simplified to 0 1536827935.979 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1536827935.979 * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # 1536827935.980 * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (sqrt (log N)) (sqrt (log N))))) 1536827935.980 * * [misc]simplify: iters left: 6 (11 enodes) 1536827935.983 * * [misc]simplify: iters left: 5 (19 enodes) 1536827935.986 * * [misc]simplify: iters left: 4 (24 enodes) 1536827935.992 * * [misc]simplify: iters left: 3 (29 enodes) 1536827936.000 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1536827936.000 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 1536827936.001 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1536827936.002 * * [misc]simplify: iters left: 5 (6 enodes) 1536827936.004 * * [misc]simplify: iters left: 4 (8 enodes) 1536827936.008 * * [misc]simplify: iters left: 3 (14 enodes) 1536827936.013 * * [misc]simplify: iters left: 2 (20 enodes) 1536827936.017 * * [misc]simplify: iters left: 1 (22 enodes) 1536827936.019 * [exit]simplify: Simplified to 0 1536827936.019 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1536827936.019 * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # 1536827936.019 * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (log N) 1))) 1536827936.020 * * [misc]simplify: iters left: 6 (10 enodes) 1536827936.023 * * [misc]simplify: iters left: 5 (21 enodes) 1536827936.027 * * [misc]simplify: iters left: 4 (29 enodes) 1536827936.034 * * [misc]simplify: iters left: 3 (40 enodes) 1536827936.039 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1536827936.039 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1536827936.039 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1536827936.040 * * [misc]simplify: iters left: 4 (6 enodes) 1536827936.041 * * [misc]simplify: iters left: 3 (11 enodes) 1536827936.046 * * [misc]simplify: iters left: 2 (21 enodes) 1536827936.055 * * [misc]simplify: iters left: 1 (30 enodes) 1536827936.061 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1536827936.061 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1536827936.062 * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # 1536827936.062 * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1536827936.063 * * [misc]simplify: iters left: 6 (11 enodes) 1536827936.066 * * [misc]simplify: iters left: 5 (23 enodes) 1536827936.070 * * [misc]simplify: iters left: 4 (30 enodes) 1536827936.077 * * [misc]simplify: iters left: 3 (35 enodes) 1536827936.081 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1536827936.081 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 1536827936.081 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1536827936.082 * * [misc]simplify: iters left: 6 (7 enodes) 1536827936.084 * * [misc]simplify: iters left: 5 (12 enodes) 1536827936.087 * * [misc]simplify: iters left: 4 (19 enodes) 1536827936.093 * * [misc]simplify: iters left: 3 (38 enodes) 1536827936.106 * * [misc]simplify: iters left: 2 (46 enodes) 1536827936.114 * [exit]simplify: Simplified to 0 1536827936.114 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1536827936.114 * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # 1536827936.114 * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (sqrt (log N)) (sqrt (log N))))) 1536827936.115 * * [misc]simplify: iters left: 6 (10 enodes) 1536827936.120 * * [misc]simplify: iters left: 5 (18 enodes) 1536827936.126 * * [misc]simplify: iters left: 4 (22 enodes) 1536827936.133 * * [misc]simplify: iters left: 3 (28 enodes) 1536827936.140 * * [misc]simplify: iters left: 2 (31 enodes) 1536827936.150 * * [misc]simplify: iters left: 1 (46 enodes) 1536827936.172 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1536827936.172 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 1536827936.172 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1536827936.173 * * [misc]simplify: iters left: 5 (6 enodes) 1536827936.175 * * [misc]simplify: iters left: 4 (8 enodes) 1536827936.178 * * [misc]simplify: iters left: 3 (14 enodes) 1536827936.184 * * [misc]simplify: iters left: 2 (20 enodes) 1536827936.189 * * [misc]simplify: iters left: 1 (22 enodes) 1536827936.193 * [exit]simplify: Simplified to 0 1536827936.193 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1536827936.193 * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # 1536827936.193 * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (log N) 1))) 1536827936.194 * * [misc]simplify: iters left: 6 (9 enodes) 1536827936.200 * * [misc]simplify: iters left: 5 (20 enodes) 1536827936.211 * * [misc]simplify: iters left: 4 (27 enodes) 1536827936.223 * * [misc]simplify: iters left: 3 (36 enodes) 1536827936.231 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1536827936.231 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1536827936.232 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1536827936.232 * * [misc]simplify: iters left: 4 (6 enodes) 1536827936.235 * * [misc]simplify: iters left: 3 (11 enodes) 1536827936.242 * * [misc]simplify: iters left: 2 (21 enodes) 1536827936.249 * * [misc]simplify: iters left: 1 (30 enodes) 1536827936.256 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1536827936.256 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1536827936.256 * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # 1536827936.257 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1536827936.258 * * [misc]simplify: iters left: 6 (10 enodes) 1536827936.263 * * [misc]simplify: iters left: 5 (22 enodes) 1536827936.271 * * [misc]simplify: iters left: 4 (30 enodes) 1536827936.283 * * [misc]simplify: iters left: 3 (38 enodes) 1536827936.291 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1536827936.291 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 1536827936.292 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1536827936.293 * * [misc]simplify: iters left: 6 (7 enodes) 1536827936.296 * * [misc]simplify: iters left: 5 (12 enodes) 1536827936.301 * * [misc]simplify: iters left: 4 (19 enodes) 1536827936.312 * * [misc]simplify: iters left: 3 (38 enodes) 1536827936.324 * * [misc]simplify: iters left: 2 (46 enodes) 1536827936.332 * [exit]simplify: Simplified to 0 1536827936.332 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1536827936.332 * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # 1536827936.332 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (sqrt (log N)) (sqrt (log N))))) 1536827936.333 * * [misc]simplify: iters left: 6 (9 enodes) 1536827936.337 * * [misc]simplify: iters left: 5 (17 enodes) 1536827936.343 * * [misc]simplify: iters left: 4 (22 enodes) 1536827936.355 * * [misc]simplify: iters left: 3 (28 enodes) 1536827936.361 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1536827936.361 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 1536827936.362 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1536827936.362 * * [misc]simplify: iters left: 5 (6 enodes) 1536827936.365 * * [misc]simplify: iters left: 4 (8 enodes) 1536827936.368 * * [misc]simplify: iters left: 3 (14 enodes) 1536827936.374 * * [misc]simplify: iters left: 2 (20 enodes) 1536827936.380 * * [misc]simplify: iters left: 1 (22 enodes) 1536827936.384 * [exit]simplify: Simplified to 0 1536827936.384 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1536827936.384 * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # 1536827936.384 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (log N) 1))) 1536827936.385 * * [misc]simplify: iters left: 6 (8 enodes) 1536827936.390 * * [misc]simplify: iters left: 5 (19 enodes) 1536827936.398 * * [misc]simplify: iters left: 4 (27 enodes) 1536827936.410 * * [misc]simplify: iters left: 3 (37 enodes) 1536827936.418 * * [misc]simplify: iters left: 2 (40 enodes) 1536827936.428 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1536827936.428 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1536827936.429 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1536827936.430 * * [misc]simplify: iters left: 4 (6 enodes) 1536827936.433 * * [misc]simplify: iters left: 3 (11 enodes) 1536827936.439 * * [misc]simplify: iters left: 2 (21 enodes) 1536827936.447 * * [misc]simplify: iters left: 1 (30 enodes) 1536827936.454 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1536827936.454 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1536827936.454 * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # 1536827936.454 * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # 1536827936.454 * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # 1536827936.454 * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # 1536827936.454 * [enter]simplify: Simplifying (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) 1536827936.455 * * [misc]simplify: iters left: 6 (6 enodes) 1536827936.458 * * [misc]simplify: iters left: 5 (9 enodes) 1536827936.461 * * [misc]simplify: iters left: 4 (10 enodes) 1536827936.464 * [exit]simplify: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) 1536827936.464 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log (+ N 1))) (- (log N)))) 1536827936.464 * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # 1536827936.465 * [enter]simplify: Simplifying (sqrt (log (+ N 1))) 1536827936.465 * * [misc]simplify: iters left: 4 (5 enodes) 1536827936.467 * * [misc]simplify: iters left: 3 (8 enodes) 1536827936.470 * * [misc]simplify: iters left: 2 (9 enodes) 1536827936.472 * [exit]simplify: Simplified to (sqrt (log1p N)) 1536827936.472 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (sqrt (log1p N)) (sqrt (log (+ N 1))) (- (log N)))) 1536827936.472 * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # 1536827936.472 * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # 1536827936.472 * [enter]simplify: Simplifying (/ (+ N 1) N) 1536827936.473 * * [misc]simplify: iters left: 4 (4 enodes) 1536827936.475 * * [misc]simplify: iters left: 3 (7 enodes) 1536827936.477 * [exit]simplify: Simplified to (/ (+ 1 N) N) 1536827936.477 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) 1536827936.477 * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # 1536827936.477 * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # 1536827936.477 * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # 1536827936.477 * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # 1536827936.477 * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # 1536827936.477 * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # 1536827936.477 * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # 1536827936.477 * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # 1536827936.478 * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # 1536827936.478 * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # 1536827936.478 * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # 1536827936.478 * [enter]simplify: Simplifying (+ (sqrt (log (+ N 1))) (sqrt (log N))) 1536827936.479 * * [misc]simplify: iters left: 6 (8 enodes) 1536827936.482 * * [misc]simplify: iters left: 5 (12 enodes) 1536827936.485 * * [misc]simplify: iters left: 4 (13 enodes) 1536827936.489 * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log1p N))) 1536827936.489 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log (+ N 1))) (sqrt (log N))))) 1536827936.490 * [enter]simplify: Simplifying (- (sqrt (log (+ N 1))) (sqrt (log N))) 1536827936.491 * * [misc]simplify: iters left: 6 (8 enodes) 1536827936.494 * * [misc]simplify: iters left: 5 (13 enodes) 1536827936.500 * * [misc]simplify: iters left: 4 (15 enodes) 1536827936.504 * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) 1536827936.504 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log1p N)) (sqrt (log N))))) 1536827936.504 * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # 1536827936.504 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1536827936.505 * * [misc]simplify: iters left: 5 (6 enodes) 1536827936.506 * * [misc]simplify: iters left: 4 (11 enodes) 1536827936.508 * * [misc]simplify: iters left: 3 (13 enodes) 1536827936.510 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1536827936.510 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) 1536827936.510 * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # 1536827936.510 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1536827936.511 * * [misc]simplify: iters left: 5 (6 enodes) 1536827936.512 * * [misc]simplify: iters left: 4 (11 enodes) 1536827936.514 * * [misc]simplify: iters left: 3 (13 enodes) 1536827936.515 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1536827936.515 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) 1536827936.516 * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # 1536827936.516 * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1536827936.516 * * [misc]simplify: iters left: 6 (6 enodes) 1536827936.517 * * [misc]simplify: iters left: 5 (11 enodes) 1536827936.519 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1536827936.519 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (- (log (cbrt (+ N 1))) (log N)))) 1536827936.519 * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # 1536827936.519 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1536827936.520 * * [misc]simplify: iters left: 4 (5 enodes) 1536827936.521 * * [misc]simplify: iters left: 3 (8 enodes) 1536827936.522 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1536827936.522 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (+ 1 N))) (- (log (sqrt (+ N 1))) (log N)))) 1536827936.522 * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # 1536827936.522 * [enter]simplify: Simplifying (log 1) 1536827936.522 * * [misc]simplify: iters left: 1 (2 enodes) 1536827936.523 * [exit]simplify: Simplified to 0 1536827936.523 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (- (log (+ N 1)) (log N)))) 1536827936.523 * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # 1536827936.523 * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) 1536827936.524 * * [misc]simplify: iters left: 4 (7 enodes) 1536827936.526 * * [misc]simplify: iters left: 3 (15 enodes) 1536827936.528 * * [misc]simplify: iters left: 2 (18 enodes) 1536827936.531 * [exit]simplify: Simplified to (log1p (pow N 3)) 1536827936.531 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log1p (pow N 3)) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)))) 1536827936.531 * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # 1536827936.531 * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) 1536827936.531 * * [misc]simplify: iters left: 5 (6 enodes) 1536827936.534 * * [misc]simplify: iters left: 4 (13 enodes) 1536827936.536 * * [misc]simplify: iters left: 3 (20 enodes) 1536827936.539 * * [misc]simplify: iters left: 2 (27 enodes) 1536827936.543 * * [misc]simplify: iters left: 1 (45 enodes) 1536827936.563 * [exit]simplify: Simplified to (log (fma N N -1)) 1536827936.563 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (fma N N -1)) (+ (log (- N 1)) (log N)))) 1536827936.563 * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # 1536827936.563 * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # 1536827936.563 * [enter]simplify: Simplifying (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1536827936.563 * * [misc]simplify: iters left: 6 (11 enodes) 1536827936.566 * * [misc]simplify: iters left: 5 (21 enodes) 1536827936.574 * * [misc]simplify: iters left: 4 (55 enodes) 1536827936.602 * * [misc]simplify: iters left: 3 (107 enodes) 1536827936.649 * * [misc]simplify: iters left: 2 (184 enodes) 1536827936.729 * * [misc]simplify: iters left: 1 (247 enodes) 1536827937.029 * [exit]simplify: Simplified to (fma (* N N) (fma N 1/3 -1/2) N) 1536827937.029 * [misc]simplify: Simplified (2 1) to (λ (N) (- (fma (* N N) (fma N 1/3 -1/2) N) (log N))) 1536827937.029 * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # 1536827937.029 * [enter]simplify: Simplifying (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 1536827937.030 * * [misc]simplify: iters left: 6 (11 enodes) 1536827937.039 * * [misc]simplify: iters left: 5 (27 enodes) 1536827937.051 * * [misc]simplify: iters left: 4 (40 enodes) 1536827937.069 * * [misc]simplify: iters left: 3 (81 enodes) 1536827937.109 * * [misc]simplify: iters left: 2 (176 enodes) 1536827937.171 * * [misc]simplify: iters left: 1 (289 enodes) 1536827937.434 * [exit]simplify: Simplified to (fma (/ (/ 1 N) N) -1/2 (+ (/ 1 N) (log N))) 1536827937.434 * [misc]simplify: Simplified (2 1) to (λ (N) (- (fma (/ (/ 1 N) N) -1/2 (+ (/ 1 N) (log N))) (log N))) 1536827937.435 * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # 1536827937.435 * [enter]simplify: Simplifying (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 1536827937.437 * * [misc]simplify: iters left: 6 (15 enodes) 1536827937.446 * * [misc]simplify: iters left: 5 (32 enodes) 1536827937.461 * * [misc]simplify: iters left: 4 (66 enodes) 1536827937.485 * * [misc]simplify: iters left: 3 (161 enodes) 1536827937.586 * * [misc]simplify: iters left: 2 (416 enodes) 1536827938.043 * [exit]simplify: Simplified to (fma (/ (/ 1 N) N) -1/2 (+ (log N) (/ 1 N))) 1536827938.043 * [misc]simplify: Simplified (2 1) to (λ (N) (- (fma (/ (/ 1 N) N) -1/2 (+ (log N) (/ 1 N))) (log N))) 1536827938.043 * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # 1536827938.043 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1536827938.044 * * [misc]simplify: iters left: 6 (8 enodes) 1536827938.046 * * [misc]simplify: iters left: 5 (15 enodes) 1536827938.049 * * [misc]simplify: iters left: 4 (29 enodes) 1536827938.057 * * [misc]simplify: iters left: 3 (55 enodes) 1536827938.077 * * [misc]simplify: iters left: 2 (104 enodes) 1536827938.096 * * [misc]simplify: iters left: 1 (143 enodes) 1536827938.162 * [exit]simplify: Simplified to (fma (* N -1/2) N (- N (log N))) 1536827938.163 * [misc]simplify: Simplified (2) to (λ (N) (fma (* N -1/2) N (- N (log N)))) 1536827938.163 * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # 1536827938.163 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1536827938.164 * * [misc]simplify: iters left: 6 (15 enodes) 1536827938.174 * * [misc]simplify: iters left: 5 (32 enodes) 1536827938.192 * * [misc]simplify: iters left: 4 (61 enodes) 1536827938.221 * * [misc]simplify: iters left: 3 (103 enodes) 1536827938.280 * * [misc]simplify: iters left: 2 (168 enodes) 1536827938.352 * * [misc]simplify: iters left: 1 (248 enodes) 1536827938.486 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1536827938.486 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1536827938.486 * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # 1536827938.486 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1536827938.487 * * [misc]simplify: iters left: 6 (15 enodes) 1536827938.497 * * [misc]simplify: iters left: 5 (32 enodes) 1536827938.517 * * [misc]simplify: iters left: 4 (61 enodes) 1536827938.546 * * [misc]simplify: iters left: 3 (103 enodes) 1536827938.598 * * [misc]simplify: iters left: 2 (168 enodes) 1536827938.656 * * [misc]simplify: iters left: 1 (248 enodes) 1536827938.809 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1536827938.809 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1536827938.809 * * * [misc]progress: adding candidates to table 1536827939.662 * * [misc]progress: iteration 2 / 4 1536827939.662 * * * [misc]progress: picking best candidate 1536827939.682 * * * * [misc]pick: Picked # 1536827939.682 * * * [misc]progress: localizing error 1536827939.689 * * * [misc]progress: generating rewritten candidates 1536827939.689 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1536827939.696 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1536827939.714 * * * [misc]progress: generating series expansions 1536827939.714 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1536827939.714 * [misc]backup-simplify: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 1536827939.715 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1536827939.715 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1536827939.715 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827939.715 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827939.715 * [misc]taylor: Taking taylor expansion of N in N 1536827939.715 * [misc]backup-simplify: Simplify 0 into 0 1536827939.715 * [misc]backup-simplify: Simplify 1 into 1 1536827939.715 * [misc]taylor: Taking taylor expansion of 1 in N 1536827939.715 * [misc]backup-simplify: Simplify 1 into 1 1536827939.715 * [misc]taylor: Taking taylor expansion of N in N 1536827939.715 * [misc]backup-simplify: Simplify 0 into 0 1536827939.715 * [misc]backup-simplify: Simplify 1 into 1 1536827939.715 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827939.715 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827939.715 * [misc]backup-simplify: Simplify (log 1) into 0 1536827939.715 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1536827939.716 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827939.716 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827939.716 * [misc]taylor: Taking taylor expansion of N in N 1536827939.716 * [misc]backup-simplify: Simplify 0 into 0 1536827939.716 * [misc]backup-simplify: Simplify 1 into 1 1536827939.716 * [misc]taylor: Taking taylor expansion of 1 in N 1536827939.716 * [misc]backup-simplify: Simplify 1 into 1 1536827939.716 * [misc]taylor: Taking taylor expansion of N in N 1536827939.716 * [misc]backup-simplify: Simplify 0 into 0 1536827939.716 * [misc]backup-simplify: Simplify 1 into 1 1536827939.716 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827939.716 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827939.716 * [misc]backup-simplify: Simplify (log 1) into 0 1536827939.716 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1536827939.717 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1536827939.717 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827939.717 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536827939.719 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1536827939.720 * [misc]backup-simplify: Simplify 1 into 1 1536827939.720 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.720 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536827939.724 * [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 1536827939.725 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827939.725 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1536827939.725 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1536827939.725 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1536827939.725 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1536827939.725 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827939.725 * [misc]taylor: Taking taylor expansion of N in N 1536827939.725 * [misc]backup-simplify: Simplify 0 into 0 1536827939.725 * [misc]backup-simplify: Simplify 1 into 1 1536827939.725 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827939.725 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827939.725 * [misc]taylor: Taking taylor expansion of N in N 1536827939.725 * [misc]backup-simplify: Simplify 0 into 0 1536827939.725 * [misc]backup-simplify: Simplify 1 into 1 1536827939.726 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827939.726 * [misc]taylor: Taking taylor expansion of 1 in N 1536827939.726 * [misc]backup-simplify: Simplify 1 into 1 1536827939.726 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827939.726 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827939.726 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827939.726 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827939.726 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827939.727 * [misc]backup-simplify: Simplify (log 1) into 0 1536827939.727 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1536827939.727 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827939.727 * [misc]taylor: Taking taylor expansion of N in N 1536827939.727 * [misc]backup-simplify: Simplify 0 into 0 1536827939.727 * [misc]backup-simplify: Simplify 1 into 1 1536827939.728 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827939.728 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827939.728 * [misc]taylor: Taking taylor expansion of N in N 1536827939.728 * [misc]backup-simplify: Simplify 0 into 0 1536827939.728 * [misc]backup-simplify: Simplify 1 into 1 1536827939.728 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827939.728 * [misc]taylor: Taking taylor expansion of 1 in N 1536827939.728 * [misc]backup-simplify: Simplify 1 into 1 1536827939.728 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827939.728 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827939.728 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827939.729 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827939.729 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827939.729 * [misc]backup-simplify: Simplify (log 1) into 0 1536827939.729 * [misc]backup-simplify: Simplify 0 into 0 1536827939.729 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.730 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.730 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536827939.732 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1536827939.732 * [misc]backup-simplify: Simplify 1 into 1 1536827939.733 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.733 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.733 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536827939.738 * [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 1536827939.738 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827939.738 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.738 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.739 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1536827939.745 * [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 1536827939.745 * [misc]backup-simplify: Simplify 1/3 into 1/3 1536827939.746 * [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)))) 1536827939.746 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1536827939.746 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1536827939.746 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1536827939.746 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827939.746 * [misc]taylor: Taking taylor expansion of -1 in N 1536827939.746 * [misc]backup-simplify: Simplify -1 into -1 1536827939.747 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827939.747 * [misc]taylor: Taking taylor expansion of N in N 1536827939.747 * [misc]backup-simplify: Simplify 0 into 0 1536827939.747 * [misc]backup-simplify: Simplify 1 into 1 1536827939.747 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827939.747 * [misc]taylor: Taking taylor expansion of 1 in N 1536827939.747 * [misc]backup-simplify: Simplify 1 into 1 1536827939.747 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827939.747 * [misc]taylor: Taking taylor expansion of N in N 1536827939.747 * [misc]backup-simplify: Simplify 0 into 0 1536827939.747 * [misc]backup-simplify: Simplify 1 into 1 1536827939.747 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827939.747 * [misc]backup-simplify: Simplify (- 1) into -1 1536827939.747 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827939.747 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827939.748 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827939.748 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827939.748 * [misc]backup-simplify: Simplify (- 0) into 0 1536827939.748 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827939.748 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827939.748 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827939.749 * [misc]backup-simplify: Simplify (log 1) into 0 1536827939.749 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1536827939.749 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827939.749 * [misc]taylor: Taking taylor expansion of -1 in N 1536827939.749 * [misc]backup-simplify: Simplify -1 into -1 1536827939.749 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827939.749 * [misc]taylor: Taking taylor expansion of N in N 1536827939.749 * [misc]backup-simplify: Simplify 0 into 0 1536827939.749 * [misc]backup-simplify: Simplify 1 into 1 1536827939.749 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827939.749 * [misc]taylor: Taking taylor expansion of 1 in N 1536827939.749 * [misc]backup-simplify: Simplify 1 into 1 1536827939.749 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827939.749 * [misc]taylor: Taking taylor expansion of N in N 1536827939.749 * [misc]backup-simplify: Simplify 0 into 0 1536827939.749 * [misc]backup-simplify: Simplify 1 into 1 1536827939.749 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827939.749 * [misc]backup-simplify: Simplify (- 1) into -1 1536827939.749 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827939.750 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827939.750 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827939.750 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827939.750 * [misc]backup-simplify: Simplify (- 0) into 0 1536827939.750 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827939.751 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827939.751 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827939.751 * [misc]backup-simplify: Simplify (log 1) into 0 1536827939.751 * [misc]backup-simplify: Simplify 0 into 0 1536827939.751 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.751 * [misc]backup-simplify: Simplify (- 0) into 0 1536827939.752 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.752 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536827939.752 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536827939.755 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1536827939.755 * [misc]backup-simplify: Simplify -1 into -1 1536827939.755 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.755 * [misc]backup-simplify: Simplify (- 0) into 0 1536827939.755 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.756 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536827939.756 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536827939.760 * [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 1536827939.760 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827939.761 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.761 * [misc]backup-simplify: Simplify (- 0) into 0 1536827939.761 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.762 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1536827939.762 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1536827939.769 * [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 1536827939.769 * [misc]backup-simplify: Simplify -1/3 into -1/3 1536827939.770 * [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)))) 1536827939.770 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1536827939.770 * [misc]backup-simplify: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 1536827939.770 * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1536827939.770 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827939.770 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827939.770 * [misc]taylor: Taking taylor expansion of N in N 1536827939.771 * [misc]backup-simplify: Simplify 0 into 0 1536827939.771 * [misc]backup-simplify: Simplify 1 into 1 1536827939.771 * [misc]taylor: Taking taylor expansion of 1 in N 1536827939.771 * [misc]backup-simplify: Simplify 1 into 1 1536827939.771 * [misc]taylor: Taking taylor expansion of N in N 1536827939.771 * [misc]backup-simplify: Simplify 0 into 0 1536827939.771 * [misc]backup-simplify: Simplify 1 into 1 1536827939.771 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827939.771 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827939.771 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827939.771 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827939.771 * [misc]taylor: Taking taylor expansion of N in N 1536827939.771 * [misc]backup-simplify: Simplify 0 into 0 1536827939.771 * [misc]backup-simplify: Simplify 1 into 1 1536827939.771 * [misc]taylor: Taking taylor expansion of 1 in N 1536827939.771 * [misc]backup-simplify: Simplify 1 into 1 1536827939.771 * [misc]taylor: Taking taylor expansion of N in N 1536827939.771 * [misc]backup-simplify: Simplify 0 into 0 1536827939.771 * [misc]backup-simplify: Simplify 1 into 1 1536827939.771 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827939.772 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827939.772 * [misc]backup-simplify: Simplify 1 into 1 1536827939.772 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827939.772 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536827939.772 * [misc]backup-simplify: Simplify 1 into 1 1536827939.772 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.773 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536827939.773 * [misc]backup-simplify: Simplify 0 into 0 1536827939.773 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.773 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.773 * [misc]backup-simplify: Simplify 0 into 0 1536827939.773 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.774 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.774 * [misc]backup-simplify: Simplify 0 into 0 1536827939.774 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.775 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.775 * [misc]backup-simplify: Simplify 0 into 0 1536827939.775 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.775 * [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 1536827939.775 * [misc]backup-simplify: Simplify 0 into 0 1536827939.776 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.776 * [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 1536827939.776 * [misc]backup-simplify: Simplify 0 into 0 1536827939.776 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1536827939.776 * [misc]backup-simplify: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1536827939.776 * [misc]approximate: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1536827939.777 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827939.777 * [misc]taylor: Taking taylor expansion of N in N 1536827939.777 * [misc]backup-simplify: Simplify 0 into 0 1536827939.777 * [misc]backup-simplify: Simplify 1 into 1 1536827939.777 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827939.777 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827939.777 * [misc]taylor: Taking taylor expansion of N in N 1536827939.777 * [misc]backup-simplify: Simplify 0 into 0 1536827939.777 * [misc]backup-simplify: Simplify 1 into 1 1536827939.777 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827939.777 * [misc]taylor: Taking taylor expansion of 1 in N 1536827939.777 * [misc]backup-simplify: Simplify 1 into 1 1536827939.777 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827939.777 * [misc]taylor: Taking taylor expansion of N in N 1536827939.777 * [misc]backup-simplify: Simplify 0 into 0 1536827939.777 * [misc]backup-simplify: Simplify 1 into 1 1536827939.777 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827939.777 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827939.777 * [misc]taylor: Taking taylor expansion of N in N 1536827939.777 * [misc]backup-simplify: Simplify 0 into 0 1536827939.777 * [misc]backup-simplify: Simplify 1 into 1 1536827939.777 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827939.777 * [misc]taylor: Taking taylor expansion of 1 in N 1536827939.777 * [misc]backup-simplify: Simplify 1 into 1 1536827939.778 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827939.778 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827939.778 * [misc]backup-simplify: Simplify 0 into 0 1536827939.778 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827939.778 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827939.778 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827939.778 * [misc]backup-simplify: Simplify 1 into 1 1536827939.779 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.779 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.779 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536827939.779 * [misc]backup-simplify: Simplify 1 into 1 1536827939.780 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.780 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.780 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536827939.780 * [misc]backup-simplify: Simplify 0 into 0 1536827939.780 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.781 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.781 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1536827939.781 * [misc]backup-simplify: Simplify 0 into 0 1536827939.781 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.782 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.782 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1536827939.782 * [misc]backup-simplify: Simplify 0 into 0 1536827939.783 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.783 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.783 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1536827939.783 * [misc]backup-simplify: Simplify 0 into 0 1536827939.784 * [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 1536827939.784 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.784 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1536827939.785 * [misc]backup-simplify: Simplify 0 into 0 1536827939.785 * [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 1536827939.785 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.786 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1536827939.786 * [misc]backup-simplify: Simplify 0 into 0 1536827939.786 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1536827939.786 * [misc]backup-simplify: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1536827939.786 * [misc]approximate: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1536827939.786 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827939.786 * [misc]taylor: Taking taylor expansion of -1 in N 1536827939.786 * [misc]backup-simplify: Simplify -1 into -1 1536827939.786 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827939.786 * [misc]taylor: Taking taylor expansion of N in N 1536827939.786 * [misc]backup-simplify: Simplify 0 into 0 1536827939.787 * [misc]backup-simplify: Simplify 1 into 1 1536827939.787 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827939.787 * [misc]taylor: Taking taylor expansion of 1 in N 1536827939.787 * [misc]backup-simplify: Simplify 1 into 1 1536827939.787 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827939.787 * [misc]taylor: Taking taylor expansion of N in N 1536827939.787 * [misc]backup-simplify: Simplify 0 into 0 1536827939.787 * [misc]backup-simplify: Simplify 1 into 1 1536827939.787 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827939.787 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827939.787 * [misc]taylor: Taking taylor expansion of -1 in N 1536827939.787 * [misc]backup-simplify: Simplify -1 into -1 1536827939.787 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827939.787 * [misc]taylor: Taking taylor expansion of N in N 1536827939.787 * [misc]backup-simplify: Simplify 0 into 0 1536827939.787 * [misc]backup-simplify: Simplify 1 into 1 1536827939.787 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827939.787 * [misc]taylor: Taking taylor expansion of 1 in N 1536827939.787 * [misc]backup-simplify: Simplify 1 into 1 1536827939.787 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827939.787 * [misc]taylor: Taking taylor expansion of N in N 1536827939.787 * [misc]backup-simplify: Simplify 0 into 0 1536827939.787 * [misc]backup-simplify: Simplify 1 into 1 1536827939.787 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827939.788 * [misc]backup-simplify: Simplify (- 1) into -1 1536827939.788 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827939.788 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827939.788 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827939.788 * [misc]backup-simplify: Simplify 0 into 0 1536827939.788 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827939.788 * [misc]backup-simplify: Simplify (- 0) into 0 1536827939.789 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827939.789 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827939.789 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827939.789 * [misc]backup-simplify: Simplify 1 into 1 1536827939.789 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.790 * [misc]backup-simplify: Simplify (- 0) into 0 1536827939.790 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.790 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536827939.790 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536827939.790 * [misc]backup-simplify: Simplify -1 into -1 1536827939.791 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.791 * [misc]backup-simplify: Simplify (- 0) into 0 1536827939.791 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.791 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536827939.792 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536827939.792 * [misc]backup-simplify: Simplify 0 into 0 1536827939.792 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.792 * [misc]backup-simplify: Simplify (- 0) into 0 1536827939.793 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.793 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1536827939.793 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1536827939.793 * [misc]backup-simplify: Simplify 0 into 0 1536827939.794 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.794 * [misc]backup-simplify: Simplify (- 0) into 0 1536827939.794 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.794 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1536827939.795 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1536827939.795 * [misc]backup-simplify: Simplify 0 into 0 1536827939.795 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827939.796 * [misc]backup-simplify: Simplify (- 0) into 0 1536827939.796 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.796 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1536827939.797 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1536827939.797 * [misc]backup-simplify: Simplify 0 into 0 1536827939.797 * [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 1536827939.797 * [misc]backup-simplify: Simplify (- 0) into 0 1536827939.798 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.798 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1536827939.799 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1536827939.799 * [misc]backup-simplify: Simplify 0 into 0 1536827939.799 * [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 1536827939.799 * [misc]backup-simplify: Simplify (- 0) into 0 1536827939.800 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827939.800 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1536827939.801 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1536827939.801 * [misc]backup-simplify: Simplify 0 into 0 1536827939.801 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1536827939.801 * * * [misc]progress: simplifying candidates 1536827939.801 * * * * [misc]progress: [ 1 / 39 ] simplifiying candidate # 1536827939.801 * * * * [misc]progress: [ 2 / 39 ] simplifiying candidate # 1536827939.801 * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # 1536827939.801 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1536827939.802 * * [misc]simplify: iters left: 6 (7 enodes) 1536827939.805 * * [misc]simplify: iters left: 5 (12 enodes) 1536827939.808 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1536827939.808 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ N 1) N))))) 1536827939.808 * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # 1536827939.809 * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) 1536827939.809 * * [misc]simplify: iters left: 6 (6 enodes) 1536827939.810 * * [misc]simplify: iters left: 5 (9 enodes) 1536827939.812 * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) 1536827939.812 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) 1536827939.812 * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # 1536827939.812 * [enter]simplify: Simplifying (log 1) 1536827939.812 * * [misc]simplify: iters left: 1 (2 enodes) 1536827939.813 * [exit]simplify: Simplified to 0 1536827939.813 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ N 1) N)))) 1536827939.813 * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # 1536827939.813 * [enter]simplify: Simplifying (log (+ N 1)) 1536827939.813 * * [misc]simplify: iters left: 3 (4 enodes) 1536827939.814 * * [misc]simplify: iters left: 2 (7 enodes) 1536827939.816 * * [misc]simplify: iters left: 1 (8 enodes) 1536827939.817 * [exit]simplify: Simplified to (log1p N) 1536827939.817 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log1p N) (log (/ 1 N)))) 1536827939.817 * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # 1536827939.817 * [enter]simplify: Simplifying (log (+ N 1)) 1536827939.817 * * [misc]simplify: iters left: 3 (4 enodes) 1536827939.818 * * [misc]simplify: iters left: 2 (7 enodes) 1536827939.819 * * [misc]simplify: iters left: 1 (8 enodes) 1536827939.820 * [exit]simplify: Simplified to (log1p N) 1536827939.820 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log1p N) (log N))) 1536827939.820 * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # 1536827939.820 * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # 1536827939.820 * * * * [misc]progress: [ 10 / 39 ] simplifiying candidate # 1536827939.820 * [enter]simplify: Simplifying (/ (+ N 1) N) 1536827939.820 * * [misc]simplify: iters left: 4 (4 enodes) 1536827939.821 * * [misc]simplify: iters left: 3 (7 enodes) 1536827939.822 * [exit]simplify: Simplified to (/ (+ 1 N) N) 1536827939.822 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) 1536827939.822 * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # 1536827939.822 * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # 1536827939.822 * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # 1536827939.822 * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # 1536827939.822 * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # 1536827939.822 * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # 1536827939.822 * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # 1536827939.822 * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # 1536827939.822 * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # 1536827939.823 * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # 1536827939.823 * * * * [misc]progress: [ 21 / 39 ] simplifiying candidate # 1536827939.823 * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # 1536827939.823 * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # 1536827939.823 * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # 1536827939.823 * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # 1536827939.823 * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # 1536827939.823 * * * * [misc]progress: [ 27 / 39 ] simplifiying candidate # 1536827939.823 * * * * [misc]progress: [ 28 / 39 ] simplifiying candidate # 1536827939.823 * * * * [misc]progress: [ 29 / 39 ] simplifiying candidate # 1536827939.823 * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1536827939.823 * * [misc]simplify: iters left: 5 (5 enodes) 1536827939.824 * * [misc]simplify: iters left: 4 (8 enodes) 1536827939.826 * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1536827939.826 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ N (cbrt (+ N 1)))))) 1536827939.826 * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # 1536827939.826 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1536827939.826 * * [misc]simplify: iters left: 3 (4 enodes) 1536827939.827 * * [misc]simplify: iters left: 2 (7 enodes) 1536827939.828 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1536827939.828 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ 1 N)) (/ N (sqrt (+ N 1)))))) 1536827939.828 * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # 1536827939.828 * * * * [misc]progress: [ 32 / 39 ] simplifiying candidate # 1536827939.828 * [enter]simplify: Simplifying (+ (pow N 3) (pow 1 3)) 1536827939.830 * * [misc]simplify: iters left: 3 (6 enodes) 1536827939.833 * * [misc]simplify: iters left: 2 (14 enodes) 1536827939.835 * * [misc]simplify: iters left: 1 (16 enodes) 1536827939.837 * [exit]simplify: Simplified to (fma (* N N) N 1) 1536827939.837 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (fma (* N N) N 1) (* N (+ (* N N) (- (* 1 1) (* N 1))))))) 1536827939.837 * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # 1536827939.837 * [enter]simplify: Simplifying (- (* N N) (* 1 1)) 1536827939.837 * * [misc]simplify: iters left: 4 (5 enodes) 1536827939.840 * * [misc]simplify: iters left: 3 (12 enodes) 1536827939.845 * * [misc]simplify: iters left: 2 (19 enodes) 1536827939.849 * * [misc]simplify: iters left: 1 (23 enodes) 1536827939.856 * [exit]simplify: Simplified to (fma N N -1) 1536827939.856 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (fma N N -1) (* N (- N 1))))) 1536827939.857 * * * * [misc]progress: [ 34 / 39 ] simplifiying candidate # 1536827939.857 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1536827939.858 * * [misc]simplify: iters left: 6 (8 enodes) 1536827939.861 * * [misc]simplify: iters left: 5 (15 enodes) 1536827939.869 * * [misc]simplify: iters left: 4 (29 enodes) 1536827939.883 * * [misc]simplify: iters left: 3 (55 enodes) 1536827939.907 * * [misc]simplify: iters left: 2 (104 enodes) 1536827939.926 * * [misc]simplify: iters left: 1 (143 enodes) 1536827939.979 * [exit]simplify: Simplified to (fma (* N -1/2) N (- N (log N))) 1536827939.980 * [misc]simplify: Simplified (2) to (λ (N) (fma (* N -1/2) N (- N (log N)))) 1536827939.980 * * * * [misc]progress: [ 35 / 39 ] simplifiying candidate # 1536827939.980 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1536827939.981 * * [misc]simplify: iters left: 6 (15 enodes) 1536827939.991 * * [misc]simplify: iters left: 5 (32 enodes) 1536827940.010 * * [misc]simplify: iters left: 4 (61 enodes) 1536827940.040 * * [misc]simplify: iters left: 3 (103 enodes) 1536827940.076 * * [misc]simplify: iters left: 2 (168 enodes) 1536827940.123 * * [misc]simplify: iters left: 1 (248 enodes) 1536827940.247 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1536827940.247 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1536827940.247 * * * * [misc]progress: [ 36 / 39 ] simplifiying candidate # 1536827940.247 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1536827940.248 * * [misc]simplify: iters left: 6 (15 enodes) 1536827940.254 * * [misc]simplify: iters left: 5 (32 enodes) 1536827940.264 * * [misc]simplify: iters left: 4 (61 enodes) 1536827940.281 * * [misc]simplify: iters left: 3 (103 enodes) 1536827940.321 * * [misc]simplify: iters left: 2 (168 enodes) 1536827940.376 * * [misc]simplify: iters left: 1 (248 enodes) 1536827940.470 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1536827940.470 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1536827940.470 * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # 1536827940.471 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1536827940.471 * * [misc]simplify: iters left: 4 (4 enodes) 1536827940.473 * * [misc]simplify: iters left: 3 (7 enodes) 1536827940.475 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1536827940.475 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1536827940.475 * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # 1536827940.475 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1536827940.475 * * [misc]simplify: iters left: 4 (4 enodes) 1536827940.477 * * [misc]simplify: iters left: 3 (7 enodes) 1536827940.479 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1536827940.479 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1536827940.479 * * * * [misc]progress: [ 39 / 39 ] simplifiying candidate # 1536827940.479 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1536827940.480 * * [misc]simplify: iters left: 4 (4 enodes) 1536827940.481 * * [misc]simplify: iters left: 3 (7 enodes) 1536827940.483 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1536827940.483 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1536827940.483 * * * [misc]progress: adding candidates to table 1536827940.909 * * [misc]progress: iteration 3 / 4 1536827940.910 * * * [misc]progress: picking best candidate 1536827940.938 * * * * [misc]pick: Picked # 1536827940.938 * * * [misc]progress: localizing error 1536827940.948 * * * [misc]progress: generating rewritten candidates 1536827940.948 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1536827940.955 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1536827940.962 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) 1536827940.968 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1536827940.973 * * * [misc]progress: generating series expansions 1536827940.973 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1536827940.973 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ N 1) N))) into (log (sqrt (/ (+ N 1) N))) 1536827940.973 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1536827940.974 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1536827940.974 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536827940.974 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827940.974 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827940.974 * [misc]taylor: Taking taylor expansion of N in N 1536827940.974 * [misc]backup-simplify: Simplify 0 into 0 1536827940.974 * [misc]backup-simplify: Simplify 1 into 1 1536827940.974 * [misc]taylor: Taking taylor expansion of 1 in N 1536827940.974 * [misc]backup-simplify: Simplify 1 into 1 1536827940.974 * [misc]taylor: Taking taylor expansion of N in N 1536827940.974 * [misc]backup-simplify: Simplify 0 into 0 1536827940.974 * [misc]backup-simplify: Simplify 1 into 1 1536827940.974 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827940.974 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827940.974 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536827940.975 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536827940.975 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536827940.975 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1536827940.975 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536827940.975 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827940.975 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827940.975 * [misc]taylor: Taking taylor expansion of N in N 1536827940.975 * [misc]backup-simplify: Simplify 0 into 0 1536827940.975 * [misc]backup-simplify: Simplify 1 into 1 1536827940.975 * [misc]taylor: Taking taylor expansion of 1 in N 1536827940.975 * [misc]backup-simplify: Simplify 1 into 1 1536827940.975 * [misc]taylor: Taking taylor expansion of N in N 1536827940.975 * [misc]backup-simplify: Simplify 0 into 0 1536827940.975 * [misc]backup-simplify: Simplify 1 into 1 1536827940.975 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827940.975 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827940.975 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536827940.976 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536827940.976 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536827940.976 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536827940.977 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827940.977 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536827940.978 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536827940.981 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1536827940.981 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536827940.981 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827940.981 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536827940.982 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536827940.987 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1536827940.987 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536827940.987 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1536827940.987 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ (/ 1 N) 1) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1536827940.987 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1536827940.988 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1536827940.988 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536827940.988 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827940.988 * [misc]taylor: Taking taylor expansion of N in N 1536827940.988 * [misc]backup-simplify: Simplify 0 into 0 1536827940.988 * [misc]backup-simplify: Simplify 1 into 1 1536827940.988 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827940.988 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827940.988 * [misc]taylor: Taking taylor expansion of N in N 1536827940.988 * [misc]backup-simplify: Simplify 0 into 0 1536827940.988 * [misc]backup-simplify: Simplify 1 into 1 1536827940.988 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827940.988 * [misc]taylor: Taking taylor expansion of 1 in N 1536827940.988 * [misc]backup-simplify: Simplify 1 into 1 1536827940.988 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827940.988 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827940.989 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827940.989 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827940.989 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827940.989 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827940.989 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827940.990 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827940.990 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536827940.990 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536827940.990 * [misc]backup-simplify: Simplify (log 1) into 0 1536827940.990 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1536827940.990 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536827940.990 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827940.990 * [misc]taylor: Taking taylor expansion of N in N 1536827940.990 * [misc]backup-simplify: Simplify 0 into 0 1536827940.990 * [misc]backup-simplify: Simplify 1 into 1 1536827940.990 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827940.990 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827940.990 * [misc]taylor: Taking taylor expansion of N in N 1536827940.990 * [misc]backup-simplify: Simplify 0 into 0 1536827940.990 * [misc]backup-simplify: Simplify 1 into 1 1536827940.991 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827940.991 * [misc]taylor: Taking taylor expansion of 1 in N 1536827940.991 * [misc]backup-simplify: Simplify 1 into 1 1536827940.991 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827940.991 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827940.991 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827940.991 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827940.992 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827940.992 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827940.992 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827940.992 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827940.992 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536827940.993 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536827940.993 * [misc]backup-simplify: Simplify (log 1) into 0 1536827940.993 * [misc]backup-simplify: Simplify 0 into 0 1536827940.996 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1536827940.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536827940.996 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827940.996 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827940.996 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536827940.998 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1536827941.007 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1536827941.008 * [misc]backup-simplify: Simplify -1/4 into -1/4 1536827941.008 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.008 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.009 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1536827941.009 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1536827941.016 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 1536827941.016 * [misc]backup-simplify: Simplify 1/6 into 1/6 1536827941.017 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536827941.017 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1536827941.017 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1536827941.017 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1536827941.017 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536827941.017 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827941.017 * [misc]taylor: Taking taylor expansion of -1 in N 1536827941.017 * [misc]backup-simplify: Simplify -1 into -1 1536827941.017 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827941.017 * [misc]taylor: Taking taylor expansion of N in N 1536827941.017 * [misc]backup-simplify: Simplify 0 into 0 1536827941.017 * [misc]backup-simplify: Simplify 1 into 1 1536827941.017 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827941.017 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.017 * [misc]backup-simplify: Simplify 1 into 1 1536827941.017 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827941.017 * [misc]taylor: Taking taylor expansion of N in N 1536827941.017 * [misc]backup-simplify: Simplify 0 into 0 1536827941.017 * [misc]backup-simplify: Simplify 1 into 1 1536827941.018 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.018 * [misc]backup-simplify: Simplify (- 1) into -1 1536827941.018 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827941.018 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827941.018 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827941.019 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827941.019 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.019 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.019 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827941.019 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827941.019 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827941.020 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.020 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.020 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.020 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536827941.020 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536827941.021 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536827941.021 * [misc]backup-simplify: Simplify (log 1) into 0 1536827941.021 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1536827941.021 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536827941.021 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827941.021 * [misc]taylor: Taking taylor expansion of -1 in N 1536827941.021 * [misc]backup-simplify: Simplify -1 into -1 1536827941.021 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827941.021 * [misc]taylor: Taking taylor expansion of N in N 1536827941.021 * [misc]backup-simplify: Simplify 0 into 0 1536827941.021 * [misc]backup-simplify: Simplify 1 into 1 1536827941.021 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827941.021 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.021 * [misc]backup-simplify: Simplify 1 into 1 1536827941.021 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827941.021 * [misc]taylor: Taking taylor expansion of N in N 1536827941.021 * [misc]backup-simplify: Simplify 0 into 0 1536827941.021 * [misc]backup-simplify: Simplify 1 into 1 1536827941.021 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.022 * [misc]backup-simplify: Simplify (- 1) into -1 1536827941.022 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827941.022 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827941.022 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827941.023 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827941.023 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.023 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.023 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827941.023 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827941.024 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827941.024 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.024 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.024 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.024 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536827941.025 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536827941.025 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536827941.025 * [misc]backup-simplify: Simplify (log 1) into 0 1536827941.025 * [misc]backup-simplify: Simplify 0 into 0 1536827941.028 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1536827941.028 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827941.028 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.029 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.029 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.029 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536827941.029 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536827941.030 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1536827941.035 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1536827941.035 * [misc]backup-simplify: Simplify -1/4 into -1/4 1536827941.035 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.035 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.036 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.036 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1536827941.036 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1536827941.037 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1536827941.043 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 1536827941.043 * [misc]backup-simplify: Simplify -1/6 into -1/6 1536827941.044 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536827941.044 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1536827941.044 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ N 1) N))) into (log (sqrt (/ (+ N 1) N))) 1536827941.044 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1536827941.044 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1536827941.044 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536827941.044 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827941.044 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827941.044 * [misc]taylor: Taking taylor expansion of N in N 1536827941.044 * [misc]backup-simplify: Simplify 0 into 0 1536827941.044 * [misc]backup-simplify: Simplify 1 into 1 1536827941.044 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.044 * [misc]backup-simplify: Simplify 1 into 1 1536827941.044 * [misc]taylor: Taking taylor expansion of N in N 1536827941.044 * [misc]backup-simplify: Simplify 0 into 0 1536827941.044 * [misc]backup-simplify: Simplify 1 into 1 1536827941.045 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827941.045 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.045 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536827941.045 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536827941.045 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536827941.045 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1536827941.045 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536827941.045 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827941.045 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827941.045 * [misc]taylor: Taking taylor expansion of N in N 1536827941.045 * [misc]backup-simplify: Simplify 0 into 0 1536827941.045 * [misc]backup-simplify: Simplify 1 into 1 1536827941.045 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.045 * [misc]backup-simplify: Simplify 1 into 1 1536827941.045 * [misc]taylor: Taking taylor expansion of N in N 1536827941.045 * [misc]backup-simplify: Simplify 0 into 0 1536827941.045 * [misc]backup-simplify: Simplify 1 into 1 1536827941.045 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827941.046 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.046 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536827941.046 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536827941.046 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536827941.046 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536827941.046 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.046 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536827941.047 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536827941.048 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1536827941.049 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536827941.049 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.049 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536827941.050 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536827941.052 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1536827941.052 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536827941.052 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1536827941.053 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ (/ 1 N) 1) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1536827941.053 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1536827941.053 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1536827941.053 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536827941.053 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827941.053 * [misc]taylor: Taking taylor expansion of N in N 1536827941.053 * [misc]backup-simplify: Simplify 0 into 0 1536827941.053 * [misc]backup-simplify: Simplify 1 into 1 1536827941.053 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827941.053 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827941.053 * [misc]taylor: Taking taylor expansion of N in N 1536827941.053 * [misc]backup-simplify: Simplify 0 into 0 1536827941.053 * [misc]backup-simplify: Simplify 1 into 1 1536827941.053 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.053 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.053 * [misc]backup-simplify: Simplify 1 into 1 1536827941.053 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.053 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827941.053 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827941.053 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827941.053 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827941.054 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827941.054 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.054 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.054 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536827941.054 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536827941.054 * [misc]backup-simplify: Simplify (log 1) into 0 1536827941.054 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1536827941.054 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536827941.054 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827941.054 * [misc]taylor: Taking taylor expansion of N in N 1536827941.054 * [misc]backup-simplify: Simplify 0 into 0 1536827941.054 * [misc]backup-simplify: Simplify 1 into 1 1536827941.054 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827941.054 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827941.054 * [misc]taylor: Taking taylor expansion of N in N 1536827941.054 * [misc]backup-simplify: Simplify 0 into 0 1536827941.054 * [misc]backup-simplify: Simplify 1 into 1 1536827941.054 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.055 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.055 * [misc]backup-simplify: Simplify 1 into 1 1536827941.055 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.055 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827941.055 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827941.055 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827941.055 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827941.055 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827941.055 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.055 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.056 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536827941.056 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536827941.056 * [misc]backup-simplify: Simplify (log 1) into 0 1536827941.056 * [misc]backup-simplify: Simplify 0 into 0 1536827941.058 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1536827941.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536827941.058 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.058 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.058 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536827941.059 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1536827941.061 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1536827941.061 * [misc]backup-simplify: Simplify -1/4 into -1/4 1536827941.062 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.062 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.062 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1536827941.062 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1536827941.066 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 1536827941.066 * [misc]backup-simplify: Simplify 1/6 into 1/6 1536827941.067 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536827941.067 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1536827941.067 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1536827941.067 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1536827941.067 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536827941.067 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827941.067 * [misc]taylor: Taking taylor expansion of -1 in N 1536827941.067 * [misc]backup-simplify: Simplify -1 into -1 1536827941.067 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827941.067 * [misc]taylor: Taking taylor expansion of N in N 1536827941.067 * [misc]backup-simplify: Simplify 0 into 0 1536827941.067 * [misc]backup-simplify: Simplify 1 into 1 1536827941.067 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827941.067 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.067 * [misc]backup-simplify: Simplify 1 into 1 1536827941.067 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827941.067 * [misc]taylor: Taking taylor expansion of N in N 1536827941.067 * [misc]backup-simplify: Simplify 0 into 0 1536827941.067 * [misc]backup-simplify: Simplify 1 into 1 1536827941.067 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.067 * [misc]backup-simplify: Simplify (- 1) into -1 1536827941.067 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827941.068 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827941.068 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827941.068 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827941.068 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.068 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.068 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827941.068 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827941.068 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827941.069 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.069 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.069 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.069 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536827941.069 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536827941.069 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536827941.069 * [misc]backup-simplify: Simplify (log 1) into 0 1536827941.069 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1536827941.069 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536827941.069 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827941.069 * [misc]taylor: Taking taylor expansion of -1 in N 1536827941.069 * [misc]backup-simplify: Simplify -1 into -1 1536827941.069 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827941.069 * [misc]taylor: Taking taylor expansion of N in N 1536827941.069 * [misc]backup-simplify: Simplify 0 into 0 1536827941.069 * [misc]backup-simplify: Simplify 1 into 1 1536827941.069 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827941.069 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.069 * [misc]backup-simplify: Simplify 1 into 1 1536827941.069 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827941.069 * [misc]taylor: Taking taylor expansion of N in N 1536827941.069 * [misc]backup-simplify: Simplify 0 into 0 1536827941.070 * [misc]backup-simplify: Simplify 1 into 1 1536827941.070 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.070 * [misc]backup-simplify: Simplify (- 1) into -1 1536827941.070 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827941.070 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827941.070 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827941.070 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827941.070 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.070 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.070 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827941.071 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827941.071 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827941.071 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.071 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.071 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.071 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536827941.071 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536827941.071 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536827941.072 * [misc]backup-simplify: Simplify (log 1) into 0 1536827941.072 * [misc]backup-simplify: Simplify 0 into 0 1536827941.073 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1536827941.073 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827941.074 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.074 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.074 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.074 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536827941.074 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536827941.075 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1536827941.077 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1536827941.077 * [misc]backup-simplify: Simplify -1/4 into -1/4 1536827941.078 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.078 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.078 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.078 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1536827941.078 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1536827941.078 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1536827941.083 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 1536827941.083 * [misc]backup-simplify: Simplify -1/6 into -1/6 1536827941.083 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536827941.083 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) 1536827941.084 * [misc]backup-simplify: Simplify (sqrt (/ (+ N 1) N)) into (sqrt (/ (+ N 1) N)) 1536827941.084 * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 1536827941.084 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536827941.084 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827941.084 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827941.084 * [misc]taylor: Taking taylor expansion of N in N 1536827941.084 * [misc]backup-simplify: Simplify 0 into 0 1536827941.084 * [misc]backup-simplify: Simplify 1 into 1 1536827941.084 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.084 * [misc]backup-simplify: Simplify 1 into 1 1536827941.084 * [misc]taylor: Taking taylor expansion of N in N 1536827941.084 * [misc]backup-simplify: Simplify 0 into 0 1536827941.084 * [misc]backup-simplify: Simplify 1 into 1 1536827941.084 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827941.084 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.084 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536827941.084 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536827941.084 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536827941.084 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827941.084 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827941.084 * [misc]taylor: Taking taylor expansion of N in N 1536827941.084 * [misc]backup-simplify: Simplify 0 into 0 1536827941.084 * [misc]backup-simplify: Simplify 1 into 1 1536827941.085 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.085 * [misc]backup-simplify: Simplify 1 into 1 1536827941.085 * [misc]taylor: Taking taylor expansion of N in N 1536827941.085 * [misc]backup-simplify: Simplify 0 into 0 1536827941.085 * [misc]backup-simplify: Simplify 1 into 1 1536827941.085 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827941.085 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.085 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536827941.085 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536827941.085 * [misc]backup-simplify: Simplify 0 into 0 1536827941.085 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536827941.085 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.085 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536827941.086 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536827941.086 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536827941.086 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.086 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536827941.087 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536827941.087 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536827941.088 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1536827941.088 * [misc]backup-simplify: Simplify (sqrt (/ (+ (/ 1 N) 1) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 1536827941.088 * [misc]approximate: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 1536827941.088 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536827941.088 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827941.088 * [misc]taylor: Taking taylor expansion of N in N 1536827941.088 * [misc]backup-simplify: Simplify 0 into 0 1536827941.088 * [misc]backup-simplify: Simplify 1 into 1 1536827941.088 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827941.088 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827941.088 * [misc]taylor: Taking taylor expansion of N in N 1536827941.088 * [misc]backup-simplify: Simplify 0 into 0 1536827941.088 * [misc]backup-simplify: Simplify 1 into 1 1536827941.088 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.088 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.088 * [misc]backup-simplify: Simplify 1 into 1 1536827941.088 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.089 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827941.089 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827941.089 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827941.089 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827941.089 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827941.090 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.090 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.090 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536827941.090 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536827941.090 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536827941.090 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827941.090 * [misc]taylor: Taking taylor expansion of N in N 1536827941.090 * [misc]backup-simplify: Simplify 0 into 0 1536827941.091 * [misc]backup-simplify: Simplify 1 into 1 1536827941.091 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827941.091 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827941.091 * [misc]taylor: Taking taylor expansion of N in N 1536827941.091 * [misc]backup-simplify: Simplify 0 into 0 1536827941.091 * [misc]backup-simplify: Simplify 1 into 1 1536827941.091 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.091 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.091 * [misc]backup-simplify: Simplify 1 into 1 1536827941.091 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.091 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827941.091 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827941.092 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827941.092 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827941.092 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827941.092 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.092 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.093 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536827941.093 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536827941.093 * [misc]backup-simplify: Simplify 1 into 1 1536827941.093 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536827941.093 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.094 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.094 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536827941.095 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1536827941.095 * [misc]backup-simplify: Simplify -1/8 into -1/8 1536827941.096 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536827941.096 * [misc]backup-simplify: Simplify (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 1536827941.096 * [misc]approximate: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1536827941.096 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536827941.096 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827941.096 * [misc]taylor: Taking taylor expansion of -1 in N 1536827941.096 * [misc]backup-simplify: Simplify -1 into -1 1536827941.096 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827941.096 * [misc]taylor: Taking taylor expansion of N in N 1536827941.096 * [misc]backup-simplify: Simplify 0 into 0 1536827941.096 * [misc]backup-simplify: Simplify 1 into 1 1536827941.096 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827941.096 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.096 * [misc]backup-simplify: Simplify 1 into 1 1536827941.096 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827941.096 * [misc]taylor: Taking taylor expansion of N in N 1536827941.096 * [misc]backup-simplify: Simplify 0 into 0 1536827941.096 * [misc]backup-simplify: Simplify 1 into 1 1536827941.096 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.097 * [misc]backup-simplify: Simplify (- 1) into -1 1536827941.097 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827941.097 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827941.097 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827941.097 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827941.097 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.098 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.098 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827941.098 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827941.098 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827941.098 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.099 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.099 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.099 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536827941.099 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536827941.099 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536827941.100 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536827941.100 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827941.100 * [misc]taylor: Taking taylor expansion of -1 in N 1536827941.100 * [misc]backup-simplify: Simplify -1 into -1 1536827941.100 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827941.100 * [misc]taylor: Taking taylor expansion of N in N 1536827941.100 * [misc]backup-simplify: Simplify 0 into 0 1536827941.100 * [misc]backup-simplify: Simplify 1 into 1 1536827941.100 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827941.100 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.100 * [misc]backup-simplify: Simplify 1 into 1 1536827941.100 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827941.100 * [misc]taylor: Taking taylor expansion of N in N 1536827941.100 * [misc]backup-simplify: Simplify 0 into 0 1536827941.100 * [misc]backup-simplify: Simplify 1 into 1 1536827941.100 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.100 * [misc]backup-simplify: Simplify (- 1) into -1 1536827941.100 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827941.101 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827941.101 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827941.101 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827941.101 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.101 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.101 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827941.102 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827941.102 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827941.102 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.102 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.103 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.103 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536827941.103 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536827941.103 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536827941.103 * [misc]backup-simplify: Simplify 1 into 1 1536827941.104 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827941.104 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.104 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.104 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.105 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536827941.105 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536827941.106 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1536827941.106 * [misc]backup-simplify: Simplify -1/8 into -1/8 1536827941.107 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536827941.107 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1536827941.107 * [misc]backup-simplify: Simplify (sqrt (/ (+ N 1) N)) into (sqrt (/ (+ N 1) N)) 1536827941.107 * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 1536827941.107 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536827941.107 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827941.107 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827941.107 * [misc]taylor: Taking taylor expansion of N in N 1536827941.107 * [misc]backup-simplify: Simplify 0 into 0 1536827941.107 * [misc]backup-simplify: Simplify 1 into 1 1536827941.107 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.107 * [misc]backup-simplify: Simplify 1 into 1 1536827941.107 * [misc]taylor: Taking taylor expansion of N in N 1536827941.107 * [misc]backup-simplify: Simplify 0 into 0 1536827941.107 * [misc]backup-simplify: Simplify 1 into 1 1536827941.107 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827941.108 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.108 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536827941.108 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536827941.108 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536827941.108 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827941.108 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827941.108 * [misc]taylor: Taking taylor expansion of N in N 1536827941.108 * [misc]backup-simplify: Simplify 0 into 0 1536827941.108 * [misc]backup-simplify: Simplify 1 into 1 1536827941.108 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.108 * [misc]backup-simplify: Simplify 1 into 1 1536827941.108 * [misc]taylor: Taking taylor expansion of N in N 1536827941.108 * [misc]backup-simplify: Simplify 0 into 0 1536827941.108 * [misc]backup-simplify: Simplify 1 into 1 1536827941.109 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827941.109 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.109 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536827941.109 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536827941.109 * [misc]backup-simplify: Simplify 0 into 0 1536827941.110 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536827941.110 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.110 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536827941.111 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536827941.111 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536827941.111 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.112 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536827941.113 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536827941.113 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536827941.113 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1536827941.113 * [misc]backup-simplify: Simplify (sqrt (/ (+ (/ 1 N) 1) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 1536827941.113 * [misc]approximate: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 1536827941.113 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536827941.113 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827941.113 * [misc]taylor: Taking taylor expansion of N in N 1536827941.113 * [misc]backup-simplify: Simplify 0 into 0 1536827941.113 * [misc]backup-simplify: Simplify 1 into 1 1536827941.113 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827941.114 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827941.114 * [misc]taylor: Taking taylor expansion of N in N 1536827941.114 * [misc]backup-simplify: Simplify 0 into 0 1536827941.114 * [misc]backup-simplify: Simplify 1 into 1 1536827941.114 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.114 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.114 * [misc]backup-simplify: Simplify 1 into 1 1536827941.114 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.114 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827941.114 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827941.115 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827941.115 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827941.115 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827941.115 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.115 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.116 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536827941.116 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536827941.116 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536827941.116 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827941.116 * [misc]taylor: Taking taylor expansion of N in N 1536827941.116 * [misc]backup-simplify: Simplify 0 into 0 1536827941.116 * [misc]backup-simplify: Simplify 1 into 1 1536827941.116 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827941.116 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827941.116 * [misc]taylor: Taking taylor expansion of N in N 1536827941.116 * [misc]backup-simplify: Simplify 0 into 0 1536827941.116 * [misc]backup-simplify: Simplify 1 into 1 1536827941.116 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.116 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.116 * [misc]backup-simplify: Simplify 1 into 1 1536827941.117 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.117 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827941.117 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827941.117 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827941.117 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827941.118 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827941.118 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.118 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.118 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536827941.118 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536827941.119 * [misc]backup-simplify: Simplify 1 into 1 1536827941.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536827941.119 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.119 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.119 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536827941.121 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1536827941.121 * [misc]backup-simplify: Simplify -1/8 into -1/8 1536827941.121 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536827941.121 * [misc]backup-simplify: Simplify (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 1536827941.121 * [misc]approximate: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1536827941.121 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536827941.121 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827941.121 * [misc]taylor: Taking taylor expansion of -1 in N 1536827941.122 * [misc]backup-simplify: Simplify -1 into -1 1536827941.122 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827941.122 * [misc]taylor: Taking taylor expansion of N in N 1536827941.122 * [misc]backup-simplify: Simplify 0 into 0 1536827941.122 * [misc]backup-simplify: Simplify 1 into 1 1536827941.122 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827941.122 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.122 * [misc]backup-simplify: Simplify 1 into 1 1536827941.122 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827941.122 * [misc]taylor: Taking taylor expansion of N in N 1536827941.122 * [misc]backup-simplify: Simplify 0 into 0 1536827941.122 * [misc]backup-simplify: Simplify 1 into 1 1536827941.122 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.122 * [misc]backup-simplify: Simplify (- 1) into -1 1536827941.122 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827941.122 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827941.123 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827941.123 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827941.123 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.123 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.123 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827941.124 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827941.124 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827941.124 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.124 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.125 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.125 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536827941.125 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536827941.125 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536827941.125 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536827941.125 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827941.125 * [misc]taylor: Taking taylor expansion of -1 in N 1536827941.126 * [misc]backup-simplify: Simplify -1 into -1 1536827941.126 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827941.126 * [misc]taylor: Taking taylor expansion of N in N 1536827941.126 * [misc]backup-simplify: Simplify 0 into 0 1536827941.126 * [misc]backup-simplify: Simplify 1 into 1 1536827941.126 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827941.126 * [misc]taylor: Taking taylor expansion of 1 in N 1536827941.126 * [misc]backup-simplify: Simplify 1 into 1 1536827941.126 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827941.126 * [misc]taylor: Taking taylor expansion of N in N 1536827941.126 * [misc]backup-simplify: Simplify 0 into 0 1536827941.126 * [misc]backup-simplify: Simplify 1 into 1 1536827941.126 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827941.126 * [misc]backup-simplify: Simplify (- 1) into -1 1536827941.126 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827941.126 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827941.127 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827941.127 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827941.127 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.127 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827941.127 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827941.127 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827941.128 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827941.128 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.128 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.128 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.128 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536827941.129 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536827941.129 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536827941.129 * [misc]backup-simplify: Simplify 1 into 1 1536827941.129 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827941.130 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827941.130 * [misc]backup-simplify: Simplify (- 0) into 0 1536827941.130 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827941.130 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536827941.130 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536827941.132 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1536827941.132 * [misc]backup-simplify: Simplify -1/8 into -1/8 1536827941.132 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536827941.132 * * * [misc]progress: simplifying candidates 1536827941.132 * * * * [misc]progress: [ 1 / 84 ] simplifiying candidate # 1536827941.132 * * * * [misc]progress: [ 2 / 84 ] simplifiying candidate # 1536827941.135 * * * * [misc]progress: [ 3 / 84 ] simplifiying candidate # 1536827941.135 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1536827941.136 * * [misc]simplify: iters left: 6 (8 enodes) 1536827941.139 * * [misc]simplify: iters left: 5 (13 enodes) 1536827941.144 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1536827941.144 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ N 1) N))))))) 1536827941.144 * * * * [misc]progress: [ 4 / 84 ] simplifiying candidate # 1536827941.144 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) 1536827941.145 * * [misc]simplify: iters left: 6 (8 enodes) 1536827941.148 * * [misc]simplify: iters left: 5 (12 enodes) 1536827941.152 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ 1 N) N)))) 1536827941.153 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (fabs (cbrt (/ (+ 1 N) N)))) (log (sqrt (cbrt (/ (+ N 1) N))))))) 1536827941.153 * * * * [misc]progress: [ 5 / 84 ] simplifiying candidate # 1536827941.153 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ N 1) N)))) 1536827941.154 * * [misc]simplify: iters left: 6 (7 enodes) 1536827941.156 * * [misc]simplify: iters left: 5 (10 enodes) 1536827941.160 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ 1 N) N)))) 1536827941.160 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ N 1) N))))))) 1536827941.160 * * * * [misc]progress: [ 6 / 84 ] simplifiying candidate # 1536827941.160 * [enter]simplify: Simplifying (log (sqrt 1)) 1536827941.160 * * [misc]simplify: iters left: 2 (3 enodes) 1536827941.163 * * [misc]simplify: iters left: 1 (5 enodes) 1536827941.164 * [exit]simplify: Simplified to 0 1536827941.164 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ 0 (log (sqrt (/ (+ N 1) N)))))) 1536827941.164 * * * * [misc]progress: [ 7 / 84 ] simplifiying candidate # 1536827941.164 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1536827941.165 * * [misc]simplify: iters left: 4 (5 enodes) 1536827941.167 * * [misc]simplify: iters left: 3 (8 enodes) 1536827941.169 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1536827941.169 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (+ 1 N))) (log (sqrt (/ 1 N)))))) 1536827941.169 * * * * [misc]progress: [ 8 / 84 ] simplifiying candidate # 1536827941.169 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ N 1) N)))) 1536827941.170 * * [misc]simplify: iters left: 6 (7 enodes) 1536827941.173 * * [misc]simplify: iters left: 5 (10 enodes) 1536827941.176 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ 1 N) N)))) 1536827941.176 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ N 1) N))))))) 1536827941.176 * * * * [misc]progress: [ 9 / 84 ] simplifiying candidate # 1536827941.176 * [enter]simplify: Simplifying (log 1) 1536827941.176 * * [misc]simplify: iters left: 1 (2 enodes) 1536827941.177 * [exit]simplify: Simplified to 0 1536827941.177 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (+ 0 (log (sqrt (/ (+ N 1) N)))))) 1536827941.177 * * * * [misc]progress: [ 10 / 84 ] simplifiying candidate # 1536827941.178 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1536827941.178 * * [misc]simplify: iters left: 4 (5 enodes) 1536827941.179 * * [misc]simplify: iters left: 3 (8 enodes) 1536827941.180 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1536827941.180 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (- (log (sqrt (+ 1 N))) (log (sqrt N))))) 1536827941.180 * * * * [misc]progress: [ 11 / 84 ] simplifiying candidate # 1536827941.180 * * * * [misc]progress: [ 12 / 84 ] simplifiying candidate # 1536827941.180 * * * * [misc]progress: [ 13 / 84 ] simplifiying candidate # 1536827941.180 * * * * [misc]progress: [ 14 / 84 ] simplifiying candidate # 1536827941.181 * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) 1536827941.181 * * [misc]simplify: iters left: 5 (5 enodes) 1536827941.182 * * [misc]simplify: iters left: 4 (8 enodes) 1536827941.184 * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) 1536827941.184 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 1536827941.184 * * * * [misc]progress: [ 15 / 84 ] simplifiying candidate # 1536827941.184 * * * * [misc]progress: [ 16 / 84 ] simplifiying candidate # 1536827941.184 * * * * [misc]progress: [ 17 / 84 ] simplifiying candidate # 1536827941.184 * * * * [misc]progress: [ 18 / 84 ] simplifiying candidate # 1536827941.184 * * * * [misc]progress: [ 19 / 84 ] simplifiying candidate # 1536827941.184 * * * * [misc]progress: [ 20 / 84 ] simplifiying candidate # 1536827941.184 * * * * [misc]progress: [ 21 / 84 ] simplifiying candidate # 1536827941.184 * * * * [misc]progress: [ 22 / 84 ] simplifiying candidate # 1536827941.184 * * * * [misc]progress: [ 23 / 84 ] simplifiying candidate # 1536827941.184 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1536827941.185 * * [misc]simplify: iters left: 6 (8 enodes) 1536827941.186 * * [misc]simplify: iters left: 5 (13 enodes) 1536827941.189 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1536827941.189 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 1536827941.189 * * * * [misc]progress: [ 24 / 84 ] simplifiying candidate # 1536827941.189 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) 1536827941.190 * * [misc]simplify: iters left: 6 (8 enodes) 1536827941.191 * * [misc]simplify: iters left: 5 (12 enodes) 1536827941.193 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ 1 N) N)))) 1536827941.193 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (fabs (cbrt (/ (+ 1 N) N)))) (log (sqrt (cbrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 1536827941.193 * * * * [misc]progress: [ 25 / 84 ] simplifiying candidate # 1536827941.194 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ N 1) N)))) 1536827941.194 * * [misc]simplify: iters left: 6 (7 enodes) 1536827941.195 * * [misc]simplify: iters left: 5 (10 enodes) 1536827941.197 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ 1 N) N)))) 1536827941.197 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 1536827941.197 * * * * [misc]progress: [ 26 / 84 ] simplifiying candidate # 1536827941.197 * [enter]simplify: Simplifying (log (sqrt 1)) 1536827941.197 * * [misc]simplify: iters left: 2 (3 enodes) 1536827941.199 * * [misc]simplify: iters left: 1 (5 enodes) 1536827941.199 * [exit]simplify: Simplified to 0 1536827941.199 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 1536827941.200 * * * * [misc]progress: [ 27 / 84 ] simplifiying candidate # 1536827941.200 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1536827941.200 * * [misc]simplify: iters left: 4 (5 enodes) 1536827941.201 * * [misc]simplify: iters left: 3 (8 enodes) 1536827941.202 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1536827941.202 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (+ 1 N))) (log (sqrt (/ 1 N)))) (log (sqrt (/ (+ N 1) N))))) 1536827941.202 * * * * [misc]progress: [ 28 / 84 ] simplifiying candidate # 1536827941.202 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ N 1) N)))) 1536827941.203 * * [misc]simplify: iters left: 6 (7 enodes) 1536827941.204 * * [misc]simplify: iters left: 5 (10 enodes) 1536827941.206 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ 1 N) N)))) 1536827941.206 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 1536827941.206 * * * * [misc]progress: [ 29 / 84 ] simplifiying candidate # 1536827941.206 * [enter]simplify: Simplifying (log 1) 1536827941.206 * * [misc]simplify: iters left: 1 (2 enodes) 1536827941.208 * [exit]simplify: Simplified to 0 1536827941.208 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 1536827941.208 * * * * [misc]progress: [ 30 / 84 ] simplifiying candidate # 1536827941.208 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1536827941.208 * * [misc]simplify: iters left: 4 (5 enodes) 1536827941.210 * * [misc]simplify: iters left: 3 (8 enodes) 1536827941.213 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1536827941.213 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (- (log (sqrt (+ 1 N))) (log (sqrt N))) (log (sqrt (/ (+ N 1) N))))) 1536827941.213 * * * * [misc]progress: [ 31 / 84 ] simplifiying candidate # 1536827941.213 * * * * [misc]progress: [ 32 / 84 ] simplifiying candidate # 1536827941.213 * * * * [misc]progress: [ 33 / 84 ] simplifiying candidate # 1536827941.213 * * * * [misc]progress: [ 34 / 84 ] simplifiying candidate # 1536827941.213 * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) 1536827941.214 * * [misc]simplify: iters left: 5 (5 enodes) 1536827941.216 * * [misc]simplify: iters left: 4 (8 enodes) 1536827941.218 * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) 1536827941.218 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) 1536827941.218 * * * * [misc]progress: [ 35 / 84 ] simplifiying candidate # 1536827941.218 * * * * [misc]progress: [ 36 / 84 ] simplifiying candidate # 1536827941.218 * * * * [misc]progress: [ 37 / 84 ] simplifiying candidate # 1536827941.218 * * * * [misc]progress: [ 38 / 84 ] simplifiying candidate # 1536827941.218 * * * * [misc]progress: [ 39 / 84 ] simplifiying candidate # 1536827941.218 * * * * [misc]progress: [ 40 / 84 ] simplifiying candidate # 1536827941.218 * * * * [misc]progress: [ 41 / 84 ] simplifiying candidate # 1536827941.218 * * * * [misc]progress: [ 42 / 84 ] simplifiying candidate # 1536827941.218 * * * * [misc]progress: [ 43 / 84 ] simplifiying candidate # 1536827941.218 * * * * [misc]progress: [ 44 / 84 ] simplifiying candidate # 1536827941.219 * * * * [misc]progress: [ 45 / 84 ] simplifiying candidate # 1536827941.219 * * * * [misc]progress: [ 46 / 84 ] simplifiying candidate # 1536827941.219 * * * * [misc]progress: [ 47 / 84 ] simplifiying candidate # 1536827941.219 * * * * [misc]progress: [ 48 / 84 ] simplifiying candidate # 1536827941.219 * * * * [misc]progress: [ 49 / 84 ] simplifiying candidate # 1536827941.219 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1536827941.220 * * [misc]simplify: iters left: 6 (7 enodes) 1536827941.223 * * [misc]simplify: iters left: 5 (11 enodes) 1536827941.226 * [exit]simplify: Simplified to (fabs (cbrt (/ (+ 1 N) N))) 1536827941.226 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (fabs (cbrt (/ (+ 1 N) N))) (sqrt (cbrt (/ (+ N 1) N))))))) 1536827941.226 * * * * [misc]progress: [ 50 / 84 ] simplifiying candidate # 1536827941.227 * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ N 1) N))) 1536827941.227 * * [misc]simplify: iters left: 6 (6 enodes) 1536827941.228 * * [misc]simplify: iters left: 5 (9 enodes) 1536827941.230 * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 N) N))) 1536827941.230 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ N 1) N))))))) 1536827941.230 * * * * [misc]progress: [ 51 / 84 ] simplifiying candidate # 1536827941.230 * [enter]simplify: Simplifying (sqrt 1) 1536827941.230 * * [misc]simplify: iters left: 1 (2 enodes) 1536827941.231 * [exit]simplify: Simplified to 1 1536827941.231 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* 1 (sqrt (/ (+ N 1) N)))))) 1536827941.231 * * * * [misc]progress: [ 52 / 84 ] simplifiying candidate # 1536827941.231 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1536827941.232 * * [misc]simplify: iters left: 3 (4 enodes) 1536827941.233 * * [misc]simplify: iters left: 2 (7 enodes) 1536827941.234 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1536827941.234 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (* (sqrt (+ 1 N)) (sqrt (/ 1 N)))))) 1536827941.234 * * * * [misc]progress: [ 53 / 84 ] simplifiying candidate # 1536827941.234 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1536827941.234 * * [misc]simplify: iters left: 3 (4 enodes) 1536827941.237 * * [misc]simplify: iters left: 2 (7 enodes) 1536827941.238 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1536827941.238 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (/ (sqrt (+ 1 N)) (sqrt N))))) 1536827941.238 * * * * [misc]progress: [ 54 / 84 ] simplifiying candidate # 1536827941.238 * * * * [misc]progress: [ 55 / 84 ] simplifiying candidate # 1536827941.238 * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) 1536827941.238 * * [misc]simplify: iters left: 5 (5 enodes) 1536827941.239 * * [misc]simplify: iters left: 4 (8 enodes) 1536827941.241 * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) 1536827941.241 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (fabs (sqrt (/ (+ 1 N) N)))))) 1536827941.241 * * * * [misc]progress: [ 56 / 84 ] simplifiying candidate # 1536827941.241 * * * * [misc]progress: [ 57 / 84 ] simplifiying candidate # 1536827941.241 * * * * [misc]progress: [ 58 / 84 ] simplifiying candidate # 1536827941.241 * * * * [misc]progress: [ 59 / 84 ] simplifiying candidate # 1536827941.241 * * * * [misc]progress: [ 60 / 84 ] simplifiying candidate # 1536827941.241 * * * * [misc]progress: [ 61 / 84 ] simplifiying candidate # 1536827941.241 * * * * [misc]progress: [ 62 / 84 ] simplifiying candidate # 1536827941.241 * * * * [misc]progress: [ 63 / 84 ] simplifiying candidate # 1536827941.241 * * * * [misc]progress: [ 64 / 84 ] simplifiying candidate # 1536827941.241 * * * * [misc]progress: [ 65 / 84 ] simplifiying candidate # 1536827941.241 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1536827941.242 * * [misc]simplify: iters left: 6 (7 enodes) 1536827941.243 * * [misc]simplify: iters left: 5 (11 enodes) 1536827941.245 * [exit]simplify: Simplified to (fabs (cbrt (/ (+ 1 N) N))) 1536827941.245 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (fabs (cbrt (/ (+ 1 N) N))) (sqrt (cbrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 1536827941.245 * * * * [misc]progress: [ 66 / 84 ] simplifiying candidate # 1536827941.245 * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ N 1) N))) 1536827941.245 * * [misc]simplify: iters left: 6 (6 enodes) 1536827941.247 * * [misc]simplify: iters left: 5 (9 enodes) 1536827941.248 * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 N) N))) 1536827941.248 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 1536827941.248 * * * * [misc]progress: [ 67 / 84 ] simplifiying candidate # 1536827941.248 * [enter]simplify: Simplifying (sqrt 1) 1536827941.248 * * [misc]simplify: iters left: 1 (2 enodes) 1536827941.249 * [exit]simplify: Simplified to 1 1536827941.249 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* 1 (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 1536827941.249 * * * * [misc]progress: [ 68 / 84 ] simplifiying candidate # 1536827941.250 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1536827941.250 * * [misc]simplify: iters left: 3 (4 enodes) 1536827941.251 * * [misc]simplify: iters left: 2 (7 enodes) 1536827941.252 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1536827941.252 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (+ 1 N)) (sqrt (/ 1 N)))) (log (sqrt (/ (+ N 1) N))))) 1536827941.252 * * * * [misc]progress: [ 69 / 84 ] simplifiying candidate # 1536827941.252 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1536827941.252 * * [misc]simplify: iters left: 3 (4 enodes) 1536827941.253 * * [misc]simplify: iters left: 2 (7 enodes) 1536827941.254 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1536827941.254 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (/ (+ N 1) N))))) 1536827941.254 * * * * [misc]progress: [ 70 / 84 ] simplifiying candidate # 1536827941.254 * * * * [misc]progress: [ 71 / 84 ] simplifiying candidate # 1536827941.254 * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) 1536827941.254 * * [misc]simplify: iters left: 5 (5 enodes) 1536827941.255 * * [misc]simplify: iters left: 4 (8 enodes) 1536827941.257 * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) 1536827941.257 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (fabs (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ N 1) N))))) 1536827941.257 * * * * [misc]progress: [ 72 / 84 ] simplifiying candidate # 1536827941.257 * * * * [misc]progress: [ 73 / 84 ] simplifiying candidate # 1536827941.257 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1536827941.257 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) +nan.0)) 1536827941.257 * * * * [misc]progress: [ 74 / 84 ] simplifiying candidate # 1536827941.257 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536827941.258 * * [misc]simplify: iters left: 6 (17 enodes) 1536827941.264 * * [misc]simplify: iters left: 5 (37 enodes) 1536827941.277 * * [misc]simplify: iters left: 4 (72 enodes) 1536827941.297 * * [misc]simplify: iters left: 3 (126 enodes) 1536827941.345 * * [misc]simplify: iters left: 2 (206 enodes) 1536827941.383 * * [misc]simplify: iters left: 1 (294 enodes) 1536827941.480 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1536827941.480 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) 1536827941.480 * * * * [misc]progress: [ 75 / 84 ] simplifiying candidate # 1536827941.480 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536827941.481 * * [misc]simplify: iters left: 6 (17 enodes) 1536827941.490 * * [misc]simplify: iters left: 5 (37 enodes) 1536827941.514 * * [misc]simplify: iters left: 4 (72 enodes) 1536827941.548 * * [misc]simplify: iters left: 3 (126 enodes) 1536827941.601 * * [misc]simplify: iters left: 2 (206 enodes) 1536827941.667 * * [misc]simplify: iters left: 1 (294 enodes) 1536827941.791 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1536827941.791 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) 1536827941.791 * * * * [misc]progress: [ 76 / 84 ] simplifiying candidate # 1536827941.791 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1536827941.791 * [misc]simplify: Simplified (2 1) to (λ (N) (+ +nan.0 (log (sqrt (/ (+ N 1) N))))) 1536827941.792 * * * * [misc]progress: [ 77 / 84 ] simplifiying candidate # 1536827941.792 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536827941.794 * * [misc]simplify: iters left: 6 (17 enodes) 1536827941.805 * * [misc]simplify: iters left: 5 (37 enodes) 1536827941.828 * * [misc]simplify: iters left: 4 (72 enodes) 1536827941.863 * * [misc]simplify: iters left: 3 (126 enodes) 1536827941.919 * * [misc]simplify: iters left: 2 (206 enodes) 1536827941.980 * * [misc]simplify: iters left: 1 (294 enodes) 1536827942.131 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1536827942.131 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) (log (sqrt (/ (+ N 1) N))))) 1536827942.131 * * * * [misc]progress: [ 78 / 84 ] simplifiying candidate # 1536827942.131 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536827942.133 * * [misc]simplify: iters left: 6 (17 enodes) 1536827942.145 * * [misc]simplify: iters left: 5 (37 enodes) 1536827942.159 * * [misc]simplify: iters left: 4 (72 enodes) 1536827942.179 * * [misc]simplify: iters left: 3 (126 enodes) 1536827942.218 * * [misc]simplify: iters left: 2 (206 enodes) 1536827942.255 * * [misc]simplify: iters left: 1 (294 enodes) 1536827942.368 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1536827942.368 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) (log (sqrt (/ (+ N 1) N))))) 1536827942.368 * * * * [misc]progress: [ 79 / 84 ] simplifiying candidate # 1536827942.368 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1536827942.368 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log +nan.0))) 1536827942.368 * * * * [misc]progress: [ 80 / 84 ] simplifiying candidate # 1536827942.368 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536827942.369 * * [misc]simplify: iters left: 6 (12 enodes) 1536827942.376 * * [misc]simplify: iters left: 5 (27 enodes) 1536827942.386 * * [misc]simplify: iters left: 4 (52 enodes) 1536827942.412 * * [misc]simplify: iters left: 3 (90 enodes) 1536827942.453 * * [misc]simplify: iters left: 2 (135 enodes) 1536827942.497 * * [misc]simplify: iters left: 1 (181 enodes) 1536827942.535 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1536827942.536 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))))) 1536827942.536 * * * * [misc]progress: [ 81 / 84 ] simplifiying candidate # 1536827942.536 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536827942.537 * * [misc]simplify: iters left: 6 (12 enodes) 1536827942.545 * * [misc]simplify: iters left: 5 (27 enodes) 1536827942.560 * * [misc]simplify: iters left: 4 (52 enodes) 1536827942.584 * * [misc]simplify: iters left: 3 (90 enodes) 1536827942.609 * * [misc]simplify: iters left: 2 (135 enodes) 1536827942.645 * * [misc]simplify: iters left: 1 (181 enodes) 1536827942.708 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1536827942.708 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))))) 1536827942.708 * * * * [misc]progress: [ 82 / 84 ] simplifiying candidate # 1536827942.708 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1536827942.708 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log +nan.0) (log (sqrt (/ (+ N 1) N))))) 1536827942.708 * * * * [misc]progress: [ 83 / 84 ] simplifiying candidate # 1536827942.709 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536827942.710 * * [misc]simplify: iters left: 6 (12 enodes) 1536827942.722 * * [misc]simplify: iters left: 5 (27 enodes) 1536827942.738 * * [misc]simplify: iters left: 4 (52 enodes) 1536827942.764 * * [misc]simplify: iters left: 3 (90 enodes) 1536827942.806 * * [misc]simplify: iters left: 2 (135 enodes) 1536827942.844 * * [misc]simplify: iters left: 1 (181 enodes) 1536827942.894 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1536827942.894 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))) (log (sqrt (/ (+ N 1) N))))) 1536827942.894 * * * * [misc]progress: [ 84 / 84 ] simplifiying candidate # 1536827942.894 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536827942.896 * * [misc]simplify: iters left: 6 (12 enodes) 1536827942.904 * * [misc]simplify: iters left: 5 (27 enodes) 1536827942.920 * * [misc]simplify: iters left: 4 (52 enodes) 1536827942.946 * * [misc]simplify: iters left: 3 (90 enodes) 1536827942.993 * * [misc]simplify: iters left: 2 (135 enodes) 1536827943.038 * * [misc]simplify: iters left: 1 (181 enodes) 1536827943.071 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1536827943.071 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))) (log (sqrt (/ (+ N 1) N))))) 1536827943.071 * * * [misc]progress: adding candidates to table 1536827944.304 * * [misc]progress: iteration 4 / 4 1536827944.304 * * * [misc]progress: picking best candidate 1536827944.337 * * * * [misc]pick: Picked # 1536827944.337 * * * [misc]progress: localizing error 1536827944.345 * * * [misc]progress: generating rewritten candidates 1536827944.345 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) 1536827944.355 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1536827944.362 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) 1536827944.367 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) 1536827944.389 * * * [misc]progress: generating series expansions 1536827944.389 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) 1536827944.390 * [misc]backup-simplify: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 1536827944.390 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1536827944.390 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1536827944.390 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827944.390 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827944.390 * [misc]taylor: Taking taylor expansion of N in N 1536827944.390 * [misc]backup-simplify: Simplify 0 into 0 1536827944.390 * [misc]backup-simplify: Simplify 1 into 1 1536827944.390 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.390 * [misc]backup-simplify: Simplify 1 into 1 1536827944.390 * [misc]taylor: Taking taylor expansion of N in N 1536827944.390 * [misc]backup-simplify: Simplify 0 into 0 1536827944.390 * [misc]backup-simplify: Simplify 1 into 1 1536827944.391 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827944.391 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.391 * [misc]backup-simplify: Simplify (log 1) into 0 1536827944.391 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1536827944.391 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827944.391 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827944.391 * [misc]taylor: Taking taylor expansion of N in N 1536827944.391 * [misc]backup-simplify: Simplify 0 into 0 1536827944.391 * [misc]backup-simplify: Simplify 1 into 1 1536827944.391 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.391 * [misc]backup-simplify: Simplify 1 into 1 1536827944.391 * [misc]taylor: Taking taylor expansion of N in N 1536827944.391 * [misc]backup-simplify: Simplify 0 into 0 1536827944.391 * [misc]backup-simplify: Simplify 1 into 1 1536827944.391 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827944.391 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.392 * [misc]backup-simplify: Simplify (log 1) into 0 1536827944.392 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1536827944.392 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1536827944.392 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.392 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536827944.395 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1536827944.395 * [misc]backup-simplify: Simplify 1 into 1 1536827944.395 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.396 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536827944.400 * [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 1536827944.400 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827944.400 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1536827944.400 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1536827944.400 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1536827944.400 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1536827944.400 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827944.400 * [misc]taylor: Taking taylor expansion of N in N 1536827944.400 * [misc]backup-simplify: Simplify 0 into 0 1536827944.400 * [misc]backup-simplify: Simplify 1 into 1 1536827944.400 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827944.400 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827944.400 * [misc]taylor: Taking taylor expansion of N in N 1536827944.400 * [misc]backup-simplify: Simplify 0 into 0 1536827944.400 * [misc]backup-simplify: Simplify 1 into 1 1536827944.400 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.400 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.400 * [misc]backup-simplify: Simplify 1 into 1 1536827944.400 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.400 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827944.401 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827944.401 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827944.401 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827944.401 * [misc]backup-simplify: Simplify (log 1) into 0 1536827944.401 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1536827944.401 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827944.401 * [misc]taylor: Taking taylor expansion of N in N 1536827944.401 * [misc]backup-simplify: Simplify 0 into 0 1536827944.401 * [misc]backup-simplify: Simplify 1 into 1 1536827944.401 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827944.401 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827944.401 * [misc]taylor: Taking taylor expansion of N in N 1536827944.401 * [misc]backup-simplify: Simplify 0 into 0 1536827944.401 * [misc]backup-simplify: Simplify 1 into 1 1536827944.401 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.401 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.401 * [misc]backup-simplify: Simplify 1 into 1 1536827944.401 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.401 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827944.402 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827944.402 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827944.402 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827944.402 * [misc]backup-simplify: Simplify (log 1) into 0 1536827944.402 * [misc]backup-simplify: Simplify 0 into 0 1536827944.402 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.402 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.402 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536827944.404 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1536827944.404 * [misc]backup-simplify: Simplify 1 into 1 1536827944.404 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.404 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.405 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536827944.407 * [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 1536827944.407 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827944.407 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.407 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.408 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1536827944.412 * [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 1536827944.412 * [misc]backup-simplify: Simplify 1/3 into 1/3 1536827944.412 * [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)))) 1536827944.412 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1536827944.412 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1536827944.412 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1536827944.412 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827944.413 * [misc]taylor: Taking taylor expansion of -1 in N 1536827944.413 * [misc]backup-simplify: Simplify -1 into -1 1536827944.413 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827944.413 * [misc]taylor: Taking taylor expansion of N in N 1536827944.413 * [misc]backup-simplify: Simplify 0 into 0 1536827944.413 * [misc]backup-simplify: Simplify 1 into 1 1536827944.413 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827944.413 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.413 * [misc]backup-simplify: Simplify 1 into 1 1536827944.413 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827944.413 * [misc]taylor: Taking taylor expansion of N in N 1536827944.413 * [misc]backup-simplify: Simplify 0 into 0 1536827944.413 * [misc]backup-simplify: Simplify 1 into 1 1536827944.413 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.413 * [misc]backup-simplify: Simplify (- 1) into -1 1536827944.413 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827944.413 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827944.414 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827944.414 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827944.414 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.414 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.414 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827944.414 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827944.414 * [misc]backup-simplify: Simplify (log 1) into 0 1536827944.414 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1536827944.414 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827944.414 * [misc]taylor: Taking taylor expansion of -1 in N 1536827944.414 * [misc]backup-simplify: Simplify -1 into -1 1536827944.414 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827944.414 * [misc]taylor: Taking taylor expansion of N in N 1536827944.414 * [misc]backup-simplify: Simplify 0 into 0 1536827944.414 * [misc]backup-simplify: Simplify 1 into 1 1536827944.414 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827944.414 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.414 * [misc]backup-simplify: Simplify 1 into 1 1536827944.414 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827944.414 * [misc]taylor: Taking taylor expansion of N in N 1536827944.414 * [misc]backup-simplify: Simplify 0 into 0 1536827944.414 * [misc]backup-simplify: Simplify 1 into 1 1536827944.415 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.415 * [misc]backup-simplify: Simplify (- 1) into -1 1536827944.415 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827944.415 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827944.415 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827944.415 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827944.415 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.415 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.415 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827944.416 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827944.416 * [misc]backup-simplify: Simplify (log 1) into 0 1536827944.416 * [misc]backup-simplify: Simplify 0 into 0 1536827944.416 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.416 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.416 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.416 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536827944.416 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536827944.418 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1536827944.418 * [misc]backup-simplify: Simplify -1 into -1 1536827944.418 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.418 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.418 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.419 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536827944.419 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536827944.421 * [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 1536827944.421 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827944.422 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.422 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.422 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.422 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1536827944.422 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1536827944.426 * [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 1536827944.427 * [misc]backup-simplify: Simplify -1/3 into -1/3 1536827944.427 * [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)))) 1536827944.427 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1536827944.427 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ N 1) N))) into (log (sqrt (/ (+ N 1) N))) 1536827944.427 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1536827944.427 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1536827944.427 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536827944.427 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827944.427 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827944.427 * [misc]taylor: Taking taylor expansion of N in N 1536827944.427 * [misc]backup-simplify: Simplify 0 into 0 1536827944.427 * [misc]backup-simplify: Simplify 1 into 1 1536827944.427 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.428 * [misc]backup-simplify: Simplify 1 into 1 1536827944.428 * [misc]taylor: Taking taylor expansion of N in N 1536827944.428 * [misc]backup-simplify: Simplify 0 into 0 1536827944.428 * [misc]backup-simplify: Simplify 1 into 1 1536827944.428 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827944.428 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.428 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536827944.429 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536827944.429 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536827944.429 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1536827944.429 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536827944.429 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827944.429 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827944.429 * [misc]taylor: Taking taylor expansion of N in N 1536827944.429 * [misc]backup-simplify: Simplify 0 into 0 1536827944.429 * [misc]backup-simplify: Simplify 1 into 1 1536827944.429 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.429 * [misc]backup-simplify: Simplify 1 into 1 1536827944.429 * [misc]taylor: Taking taylor expansion of N in N 1536827944.429 * [misc]backup-simplify: Simplify 0 into 0 1536827944.429 * [misc]backup-simplify: Simplify 1 into 1 1536827944.429 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827944.429 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.430 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536827944.430 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536827944.430 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536827944.431 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1536827944.431 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.431 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536827944.432 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536827944.435 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1536827944.435 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536827944.435 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.435 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536827944.437 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536827944.441 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1536827944.441 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536827944.442 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1536827944.442 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ (/ 1 N) 1) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1536827944.442 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1536827944.442 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1536827944.442 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536827944.442 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827944.442 * [misc]taylor: Taking taylor expansion of N in N 1536827944.442 * [misc]backup-simplify: Simplify 0 into 0 1536827944.442 * [misc]backup-simplify: Simplify 1 into 1 1536827944.442 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827944.442 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827944.442 * [misc]taylor: Taking taylor expansion of N in N 1536827944.442 * [misc]backup-simplify: Simplify 0 into 0 1536827944.442 * [misc]backup-simplify: Simplify 1 into 1 1536827944.442 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.442 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.442 * [misc]backup-simplify: Simplify 1 into 1 1536827944.443 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.443 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827944.443 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827944.443 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827944.444 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827944.444 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827944.444 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.444 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.444 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536827944.445 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536827944.445 * [misc]backup-simplify: Simplify (log 1) into 0 1536827944.445 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1536827944.445 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536827944.445 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827944.445 * [misc]taylor: Taking taylor expansion of N in N 1536827944.445 * [misc]backup-simplify: Simplify 0 into 0 1536827944.445 * [misc]backup-simplify: Simplify 1 into 1 1536827944.445 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827944.445 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827944.445 * [misc]taylor: Taking taylor expansion of N in N 1536827944.445 * [misc]backup-simplify: Simplify 0 into 0 1536827944.445 * [misc]backup-simplify: Simplify 1 into 1 1536827944.445 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.445 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.445 * [misc]backup-simplify: Simplify 1 into 1 1536827944.445 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.446 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827944.446 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827944.446 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827944.446 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827944.446 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827944.447 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.447 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.447 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536827944.447 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536827944.447 * [misc]backup-simplify: Simplify (log 1) into 0 1536827944.448 * [misc]backup-simplify: Simplify 0 into 0 1536827944.450 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1536827944.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536827944.451 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.451 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.451 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536827944.452 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1536827944.457 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1536827944.457 * [misc]backup-simplify: Simplify -1/4 into -1/4 1536827944.457 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.457 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.458 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1536827944.458 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1536827944.466 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 1536827944.466 * [misc]backup-simplify: Simplify 1/6 into 1/6 1536827944.470 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536827944.470 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1536827944.470 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1536827944.470 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1536827944.470 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536827944.471 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827944.471 * [misc]taylor: Taking taylor expansion of -1 in N 1536827944.471 * [misc]backup-simplify: Simplify -1 into -1 1536827944.471 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827944.471 * [misc]taylor: Taking taylor expansion of N in N 1536827944.471 * [misc]backup-simplify: Simplify 0 into 0 1536827944.471 * [misc]backup-simplify: Simplify 1 into 1 1536827944.471 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827944.471 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.471 * [misc]backup-simplify: Simplify 1 into 1 1536827944.471 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827944.471 * [misc]taylor: Taking taylor expansion of N in N 1536827944.471 * [misc]backup-simplify: Simplify 0 into 0 1536827944.471 * [misc]backup-simplify: Simplify 1 into 1 1536827944.471 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.471 * [misc]backup-simplify: Simplify (- 1) into -1 1536827944.472 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827944.472 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827944.472 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827944.472 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827944.472 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.472 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.473 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827944.473 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827944.473 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827944.473 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.474 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.474 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.474 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536827944.474 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536827944.474 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536827944.475 * [misc]backup-simplify: Simplify (log 1) into 0 1536827944.475 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1536827944.475 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536827944.475 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827944.475 * [misc]taylor: Taking taylor expansion of -1 in N 1536827944.475 * [misc]backup-simplify: Simplify -1 into -1 1536827944.475 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827944.475 * [misc]taylor: Taking taylor expansion of N in N 1536827944.475 * [misc]backup-simplify: Simplify 0 into 0 1536827944.475 * [misc]backup-simplify: Simplify 1 into 1 1536827944.475 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827944.475 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.475 * [misc]backup-simplify: Simplify 1 into 1 1536827944.475 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827944.475 * [misc]taylor: Taking taylor expansion of N in N 1536827944.475 * [misc]backup-simplify: Simplify 0 into 0 1536827944.475 * [misc]backup-simplify: Simplify 1 into 1 1536827944.475 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.475 * [misc]backup-simplify: Simplify (- 1) into -1 1536827944.475 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827944.476 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827944.476 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827944.476 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827944.476 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.476 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.477 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827944.477 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827944.477 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827944.477 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.477 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.478 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.478 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536827944.478 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536827944.478 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536827944.478 * [misc]backup-simplify: Simplify (log 1) into 0 1536827944.479 * [misc]backup-simplify: Simplify 0 into 0 1536827944.480 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1536827944.480 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827944.481 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.481 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.481 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.481 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536827944.481 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536827944.482 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1536827944.484 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1536827944.485 * [misc]backup-simplify: Simplify -1/4 into -1/4 1536827944.485 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.485 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.485 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.485 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1536827944.485 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1536827944.486 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1536827944.490 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 1536827944.490 * [misc]backup-simplify: Simplify -1/6 into -1/6 1536827944.490 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536827944.490 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) 1536827944.491 * [misc]backup-simplify: Simplify (sqrt (/ (+ N 1) N)) into (sqrt (/ (+ N 1) N)) 1536827944.491 * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 1536827944.491 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536827944.491 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827944.491 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827944.491 * [misc]taylor: Taking taylor expansion of N in N 1536827944.491 * [misc]backup-simplify: Simplify 0 into 0 1536827944.491 * [misc]backup-simplify: Simplify 1 into 1 1536827944.491 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.491 * [misc]backup-simplify: Simplify 1 into 1 1536827944.491 * [misc]taylor: Taking taylor expansion of N in N 1536827944.491 * [misc]backup-simplify: Simplify 0 into 0 1536827944.491 * [misc]backup-simplify: Simplify 1 into 1 1536827944.491 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827944.491 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.491 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536827944.491 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536827944.491 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1536827944.491 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827944.491 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827944.491 * [misc]taylor: Taking taylor expansion of N in N 1536827944.491 * [misc]backup-simplify: Simplify 0 into 0 1536827944.491 * [misc]backup-simplify: Simplify 1 into 1 1536827944.491 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.491 * [misc]backup-simplify: Simplify 1 into 1 1536827944.491 * [misc]taylor: Taking taylor expansion of N in N 1536827944.491 * [misc]backup-simplify: Simplify 0 into 0 1536827944.492 * [misc]backup-simplify: Simplify 1 into 1 1536827944.492 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827944.492 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.492 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536827944.492 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536827944.492 * [misc]backup-simplify: Simplify 0 into 0 1536827944.492 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536827944.492 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.492 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536827944.493 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536827944.493 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536827944.493 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.493 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536827944.494 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536827944.494 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536827944.494 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1536827944.494 * [misc]backup-simplify: Simplify (sqrt (/ (+ (/ 1 N) 1) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 1536827944.494 * [misc]approximate: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 1536827944.494 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536827944.494 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827944.494 * [misc]taylor: Taking taylor expansion of N in N 1536827944.495 * [misc]backup-simplify: Simplify 0 into 0 1536827944.495 * [misc]backup-simplify: Simplify 1 into 1 1536827944.495 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827944.495 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827944.495 * [misc]taylor: Taking taylor expansion of N in N 1536827944.495 * [misc]backup-simplify: Simplify 0 into 0 1536827944.495 * [misc]backup-simplify: Simplify 1 into 1 1536827944.495 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.495 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.495 * [misc]backup-simplify: Simplify 1 into 1 1536827944.495 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.495 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827944.495 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827944.495 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827944.495 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827944.495 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827944.496 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.496 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.496 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536827944.496 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536827944.496 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1536827944.496 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827944.496 * [misc]taylor: Taking taylor expansion of N in N 1536827944.496 * [misc]backup-simplify: Simplify 0 into 0 1536827944.496 * [misc]backup-simplify: Simplify 1 into 1 1536827944.496 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827944.496 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827944.496 * [misc]taylor: Taking taylor expansion of N in N 1536827944.496 * [misc]backup-simplify: Simplify 0 into 0 1536827944.496 * [misc]backup-simplify: Simplify 1 into 1 1536827944.496 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.496 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.496 * [misc]backup-simplify: Simplify 1 into 1 1536827944.496 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.496 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827944.497 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827944.497 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827944.497 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827944.497 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827944.497 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.497 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.497 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536827944.497 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1536827944.498 * [misc]backup-simplify: Simplify 1 into 1 1536827944.498 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536827944.498 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.498 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.498 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536827944.499 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1536827944.499 * [misc]backup-simplify: Simplify -1/8 into -1/8 1536827944.499 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536827944.499 * [misc]backup-simplify: Simplify (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 1536827944.499 * [misc]approximate: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1536827944.499 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536827944.499 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827944.499 * [misc]taylor: Taking taylor expansion of -1 in N 1536827944.499 * [misc]backup-simplify: Simplify -1 into -1 1536827944.499 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827944.499 * [misc]taylor: Taking taylor expansion of N in N 1536827944.499 * [misc]backup-simplify: Simplify 0 into 0 1536827944.499 * [misc]backup-simplify: Simplify 1 into 1 1536827944.499 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827944.499 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.499 * [misc]backup-simplify: Simplify 1 into 1 1536827944.499 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827944.499 * [misc]taylor: Taking taylor expansion of N in N 1536827944.499 * [misc]backup-simplify: Simplify 0 into 0 1536827944.499 * [misc]backup-simplify: Simplify 1 into 1 1536827944.500 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.500 * [misc]backup-simplify: Simplify (- 1) into -1 1536827944.500 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827944.500 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827944.500 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827944.500 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827944.500 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.500 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.500 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827944.501 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827944.501 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827944.501 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.501 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.501 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.501 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536827944.501 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536827944.501 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536827944.501 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1536827944.502 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827944.502 * [misc]taylor: Taking taylor expansion of -1 in N 1536827944.502 * [misc]backup-simplify: Simplify -1 into -1 1536827944.502 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827944.502 * [misc]taylor: Taking taylor expansion of N in N 1536827944.502 * [misc]backup-simplify: Simplify 0 into 0 1536827944.502 * [misc]backup-simplify: Simplify 1 into 1 1536827944.502 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827944.502 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.502 * [misc]backup-simplify: Simplify 1 into 1 1536827944.502 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827944.502 * [misc]taylor: Taking taylor expansion of N in N 1536827944.502 * [misc]backup-simplify: Simplify 0 into 0 1536827944.502 * [misc]backup-simplify: Simplify 1 into 1 1536827944.502 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.502 * [misc]backup-simplify: Simplify (- 1) into -1 1536827944.502 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827944.502 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827944.502 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827944.502 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827944.502 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.503 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.503 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827944.503 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827944.503 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1536827944.503 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.503 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.503 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.503 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536827944.504 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536827944.504 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1536827944.504 * [misc]backup-simplify: Simplify 1 into 1 1536827944.504 * [misc]backup-simplify: Simplify -1/2 into -1/2 1536827944.504 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.504 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.504 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.504 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536827944.505 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536827944.505 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1536827944.505 * [misc]backup-simplify: Simplify -1/8 into -1/8 1536827944.506 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536827944.506 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) 1536827944.506 * [misc]backup-simplify: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 1536827944.506 * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1536827944.506 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827944.506 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827944.506 * [misc]taylor: Taking taylor expansion of N in N 1536827944.506 * [misc]backup-simplify: Simplify 0 into 0 1536827944.506 * [misc]backup-simplify: Simplify 1 into 1 1536827944.506 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.506 * [misc]backup-simplify: Simplify 1 into 1 1536827944.506 * [misc]taylor: Taking taylor expansion of N in N 1536827944.506 * [misc]backup-simplify: Simplify 0 into 0 1536827944.506 * [misc]backup-simplify: Simplify 1 into 1 1536827944.506 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827944.506 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.506 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1536827944.506 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1536827944.506 * [misc]taylor: Taking taylor expansion of N in N 1536827944.506 * [misc]backup-simplify: Simplify 0 into 0 1536827944.506 * [misc]backup-simplify: Simplify 1 into 1 1536827944.506 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.506 * [misc]backup-simplify: Simplify 1 into 1 1536827944.506 * [misc]taylor: Taking taylor expansion of N in N 1536827944.506 * [misc]backup-simplify: Simplify 0 into 0 1536827944.506 * [misc]backup-simplify: Simplify 1 into 1 1536827944.506 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827944.507 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.507 * [misc]backup-simplify: Simplify 1 into 1 1536827944.507 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.507 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1536827944.507 * [misc]backup-simplify: Simplify 1 into 1 1536827944.507 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.507 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1536827944.507 * [misc]backup-simplify: Simplify 0 into 0 1536827944.507 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.508 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.508 * [misc]backup-simplify: Simplify 0 into 0 1536827944.508 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.508 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.508 * [misc]backup-simplify: Simplify 0 into 0 1536827944.509 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.509 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.509 * [misc]backup-simplify: Simplify 0 into 0 1536827944.509 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.510 * [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 1536827944.510 * [misc]backup-simplify: Simplify 0 into 0 1536827944.510 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.511 * [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 1536827944.511 * [misc]backup-simplify: Simplify 0 into 0 1536827944.511 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1536827944.511 * [misc]backup-simplify: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1536827944.511 * [misc]approximate: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1536827944.511 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827944.511 * [misc]taylor: Taking taylor expansion of N in N 1536827944.511 * [misc]backup-simplify: Simplify 0 into 0 1536827944.511 * [misc]backup-simplify: Simplify 1 into 1 1536827944.511 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827944.511 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827944.511 * [misc]taylor: Taking taylor expansion of N in N 1536827944.511 * [misc]backup-simplify: Simplify 0 into 0 1536827944.511 * [misc]backup-simplify: Simplify 1 into 1 1536827944.511 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.512 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.512 * [misc]backup-simplify: Simplify 1 into 1 1536827944.512 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1536827944.512 * [misc]taylor: Taking taylor expansion of N in N 1536827944.512 * [misc]backup-simplify: Simplify 0 into 0 1536827944.512 * [misc]backup-simplify: Simplify 1 into 1 1536827944.512 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1536827944.512 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827944.512 * [misc]taylor: Taking taylor expansion of N in N 1536827944.512 * [misc]backup-simplify: Simplify 0 into 0 1536827944.512 * [misc]backup-simplify: Simplify 1 into 1 1536827944.512 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.512 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.512 * [misc]backup-simplify: Simplify 1 into 1 1536827944.512 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.512 * [misc]backup-simplify: Simplify (* 0 1) into 0 1536827944.512 * [misc]backup-simplify: Simplify 0 into 0 1536827944.513 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827944.513 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1536827944.513 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1536827944.513 * [misc]backup-simplify: Simplify 1 into 1 1536827944.513 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.513 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.514 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1536827944.514 * [misc]backup-simplify: Simplify 1 into 1 1536827944.514 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.514 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.515 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1536827944.515 * [misc]backup-simplify: Simplify 0 into 0 1536827944.515 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.515 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.516 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1536827944.516 * [misc]backup-simplify: Simplify 0 into 0 1536827944.516 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.516 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.517 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1536827944.517 * [misc]backup-simplify: Simplify 0 into 0 1536827944.518 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.518 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.518 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1536827944.518 * [misc]backup-simplify: Simplify 0 into 0 1536827944.519 * [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 1536827944.519 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.519 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1536827944.520 * [misc]backup-simplify: Simplify 0 into 0 1536827944.520 * [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 1536827944.520 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.521 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1536827944.521 * [misc]backup-simplify: Simplify 0 into 0 1536827944.521 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1536827944.521 * [misc]backup-simplify: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1536827944.521 * [misc]approximate: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1536827944.521 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827944.521 * [misc]taylor: Taking taylor expansion of -1 in N 1536827944.521 * [misc]backup-simplify: Simplify -1 into -1 1536827944.521 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827944.521 * [misc]taylor: Taking taylor expansion of N in N 1536827944.522 * [misc]backup-simplify: Simplify 0 into 0 1536827944.522 * [misc]backup-simplify: Simplify 1 into 1 1536827944.522 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827944.522 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.522 * [misc]backup-simplify: Simplify 1 into 1 1536827944.522 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827944.522 * [misc]taylor: Taking taylor expansion of N in N 1536827944.522 * [misc]backup-simplify: Simplify 0 into 0 1536827944.522 * [misc]backup-simplify: Simplify 1 into 1 1536827944.522 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.522 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1536827944.522 * [misc]taylor: Taking taylor expansion of -1 in N 1536827944.522 * [misc]backup-simplify: Simplify -1 into -1 1536827944.522 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1536827944.522 * [misc]taylor: Taking taylor expansion of N in N 1536827944.522 * [misc]backup-simplify: Simplify 0 into 0 1536827944.522 * [misc]backup-simplify: Simplify 1 into 1 1536827944.522 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1536827944.522 * [misc]taylor: Taking taylor expansion of 1 in N 1536827944.522 * [misc]backup-simplify: Simplify 1 into 1 1536827944.522 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1536827944.522 * [misc]taylor: Taking taylor expansion of N in N 1536827944.522 * [misc]backup-simplify: Simplify 0 into 0 1536827944.522 * [misc]backup-simplify: Simplify 1 into 1 1536827944.522 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536827944.523 * [misc]backup-simplify: Simplify (- 1) into -1 1536827944.523 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1536827944.523 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1536827944.523 * [misc]backup-simplify: Simplify (* -1 0) into 0 1536827944.523 * [misc]backup-simplify: Simplify 0 into 0 1536827944.523 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536827944.524 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.524 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1536827944.524 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1536827944.524 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1536827944.524 * [misc]backup-simplify: Simplify 1 into 1 1536827944.524 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.525 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.525 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.525 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1536827944.525 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1536827944.525 * [misc]backup-simplify: Simplify -1 into -1 1536827944.526 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.526 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.526 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.526 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1536827944.527 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1536827944.527 * [misc]backup-simplify: Simplify 0 into 0 1536827944.527 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.527 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.527 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.528 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1536827944.528 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1536827944.528 * [misc]backup-simplify: Simplify 0 into 0 1536827944.529 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.529 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.529 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.529 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1536827944.530 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1536827944.530 * [misc]backup-simplify: Simplify 0 into 0 1536827944.530 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536827944.530 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.531 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.531 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1536827944.532 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1536827944.532 * [misc]backup-simplify: Simplify 0 into 0 1536827944.532 * [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 1536827944.532 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.533 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.533 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1536827944.534 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1536827944.534 * [misc]backup-simplify: Simplify 0 into 0 1536827944.534 * [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 1536827944.535 * [misc]backup-simplify: Simplify (- 0) into 0 1536827944.535 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536827944.535 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1536827944.536 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1536827944.536 * [misc]backup-simplify: Simplify 0 into 0 1536827944.536 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1536827944.536 * * * [misc]progress: simplifying candidates 1536827944.536 * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # 1536827944.536 * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # 1536827944.536 * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # 1536827944.537 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1536827944.538 * * [misc]simplify: iters left: 6 (7 enodes) 1536827944.541 * * [misc]simplify: iters left: 5 (12 enodes) 1536827944.545 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1536827944.545 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 1536827944.545 * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # 1536827944.546 * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) 1536827944.546 * * [misc]simplify: iters left: 6 (6 enodes) 1536827944.548 * * [misc]simplify: iters left: 5 (9 enodes) 1536827944.551 * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) 1536827944.551 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N))))) 1536827944.551 * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # 1536827944.552 * [enter]simplify: Simplifying (log 1) 1536827944.552 * * [misc]simplify: iters left: 1 (2 enodes) 1536827944.554 * [exit]simplify: Simplified to 0 1536827944.554 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ 0 (log (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))))) 1536827944.554 * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # 1536827944.554 * [enter]simplify: Simplifying (log (+ N 1)) 1536827944.554 * * [misc]simplify: iters left: 3 (4 enodes) 1536827944.556 * * [misc]simplify: iters left: 2 (7 enodes) 1536827944.558 * * [misc]simplify: iters left: 1 (8 enodes) 1536827944.560 * [exit]simplify: Simplified to (log1p N) 1536827944.560 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (log1p N) (log (/ 1 N)))) (log (sqrt (/ (+ N 1) N))))) 1536827944.560 * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # 1536827944.561 * [enter]simplify: Simplifying (log (+ N 1)) 1536827944.561 * * [misc]simplify: iters left: 3 (4 enodes) 1536827944.563 * * [misc]simplify: iters left: 2 (7 enodes) 1536827944.565 * * [misc]simplify: iters left: 1 (8 enodes) 1536827944.567 * [exit]simplify: Simplified to (log1p N) 1536827944.567 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (- (log1p N) (log N))) (log (sqrt (/ (+ N 1) N))))) 1536827944.567 * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # 1536827944.567 * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # 1536827944.567 * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # 1536827944.567 * [enter]simplify: Simplifying (/ (+ N 1) N) 1536827944.568 * * [misc]simplify: iters left: 4 (4 enodes) 1536827944.570 * * [misc]simplify: iters left: 3 (7 enodes) 1536827944.572 * [exit]simplify: Simplified to (/ (+ 1 N) N) 1536827944.572 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) 1536827944.572 * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # 1536827944.572 * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # 1536827944.572 * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # 1536827944.572 * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # 1536827944.572 * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # 1536827944.572 * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # 1536827944.572 * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # 1536827944.572 * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # 1536827944.572 * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # 1536827944.573 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1536827944.573 * * [misc]simplify: iters left: 6 (8 enodes) 1536827944.577 * * [misc]simplify: iters left: 5 (13 enodes) 1536827944.582 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1536827944.582 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ N 1) N))))))) 1536827944.582 * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # 1536827944.582 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) 1536827944.583 * * [misc]simplify: iters left: 6 (8 enodes) 1536827944.586 * * [misc]simplify: iters left: 5 (12 enodes) 1536827944.590 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ 1 N) N)))) 1536827944.591 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (fabs (cbrt (/ (+ 1 N) N)))) (log (sqrt (cbrt (/ (+ N 1) N))))))) 1536827944.591 * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # 1536827944.591 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ N 1) N)))) 1536827944.592 * * [misc]simplify: iters left: 6 (7 enodes) 1536827944.594 * * [misc]simplify: iters left: 5 (10 enodes) 1536827944.598 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ 1 N) N)))) 1536827944.598 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ N 1) N))))))) 1536827944.598 * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # 1536827944.598 * [enter]simplify: Simplifying (log (sqrt 1)) 1536827944.601 * * [misc]simplify: iters left: 2 (3 enodes) 1536827944.603 * * [misc]simplify: iters left: 1 (5 enodes) 1536827944.604 * [exit]simplify: Simplified to 0 1536827944.604 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ 0 (log (sqrt (/ (+ N 1) N)))))) 1536827944.604 * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # 1536827944.604 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1536827944.605 * * [misc]simplify: iters left: 4 (5 enodes) 1536827944.607 * * [misc]simplify: iters left: 3 (8 enodes) 1536827944.609 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1536827944.609 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (sqrt (+ 1 N))) (log (sqrt (/ 1 N)))))) 1536827944.609 * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # 1536827944.610 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ N 1) N)))) 1536827944.610 * * [misc]simplify: iters left: 6 (7 enodes) 1536827944.613 * * [misc]simplify: iters left: 5 (10 enodes) 1536827944.616 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ 1 N) N)))) 1536827944.616 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ N 1) N))))))) 1536827944.616 * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # 1536827944.617 * [enter]simplify: Simplifying (log 1) 1536827944.617 * * [misc]simplify: iters left: 1 (2 enodes) 1536827944.619 * [exit]simplify: Simplified to 0 1536827944.619 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (+ 0 (log (sqrt (/ (+ N 1) N)))))) 1536827944.619 * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # 1536827944.619 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1536827944.619 * * [misc]simplify: iters left: 4 (5 enodes) 1536827944.621 * * [misc]simplify: iters left: 3 (8 enodes) 1536827944.624 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1536827944.624 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (- (log (sqrt (+ 1 N))) (log (sqrt N))))) 1536827944.624 * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # 1536827944.624 * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # 1536827944.624 * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # 1536827944.624 * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # 1536827944.625 * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) 1536827944.625 * * [misc]simplify: iters left: 5 (5 enodes) 1536827944.627 * * [misc]simplify: iters left: 4 (8 enodes) 1536827944.630 * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) 1536827944.630 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 1536827944.630 * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # 1536827944.630 * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # 1536827944.630 * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # 1536827944.630 * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # 1536827944.630 * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # 1536827944.630 * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # 1536827944.630 * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # 1536827944.631 * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # 1536827944.631 * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # 1536827944.631 * * * * [misc]progress: [ 40 / 81 ] simplifiying candidate # 1536827944.631 * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # 1536827944.631 * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # 1536827944.631 * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # 1536827944.631 * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # 1536827944.631 * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # 1536827944.631 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1536827944.632 * * [misc]simplify: iters left: 6 (7 enodes) 1536827944.635 * * [misc]simplify: iters left: 5 (11 enodes) 1536827944.638 * [exit]simplify: Simplified to (fabs (cbrt (/ (+ 1 N) N))) 1536827944.638 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* (fabs (cbrt (/ (+ 1 N) N))) (sqrt (cbrt (/ (+ N 1) N))))))) 1536827944.638 * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # 1536827944.639 * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ N 1) N))) 1536827944.639 * * [misc]simplify: iters left: 6 (6 enodes) 1536827944.642 * * [misc]simplify: iters left: 5 (9 enodes) 1536827944.645 * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ 1 N) N))) 1536827944.645 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ N 1) N))))))) 1536827944.645 * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # 1536827944.645 * [enter]simplify: Simplifying (sqrt 1) 1536827944.645 * * [misc]simplify: iters left: 1 (2 enodes) 1536827944.647 * [exit]simplify: Simplified to 1 1536827944.647 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* 1 (sqrt (/ (+ N 1) N)))))) 1536827944.647 * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # 1536827944.647 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1536827944.647 * * [misc]simplify: iters left: 3 (4 enodes) 1536827944.649 * * [misc]simplify: iters left: 2 (7 enodes) 1536827944.651 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1536827944.651 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (* (sqrt (+ 1 N)) (sqrt (/ 1 N)))))) 1536827944.651 * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # 1536827944.651 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1536827944.652 * * [misc]simplify: iters left: 3 (4 enodes) 1536827944.653 * * [misc]simplify: iters left: 2 (7 enodes) 1536827944.655 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1536827944.655 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (/ (sqrt (+ 1 N)) (sqrt N))))) 1536827944.655 * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # 1536827944.655 * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # 1536827944.656 * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) 1536827944.656 * * [misc]simplify: iters left: 5 (5 enodes) 1536827944.658 * * [misc]simplify: iters left: 4 (8 enodes) 1536827944.660 * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) 1536827944.660 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (fabs (sqrt (/ (+ 1 N) N)))))) 1536827944.661 * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # 1536827944.661 * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # 1536827944.661 * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # 1536827944.661 * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # 1536827944.661 * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # 1536827944.661 * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # 1536827944.661 * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # 1536827944.661 * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # 1536827944.661 * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # 1536827944.661 * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # 1536827944.661 * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # 1536827944.661 * * * * [misc]progress: [ 63 / 81 ] simplifiying candidate # 1536827944.661 * * * * [misc]progress: [ 64 / 81 ] simplifiying candidate # 1536827944.661 * * * * [misc]progress: [ 65 / 81 ] simplifiying candidate # 1536827944.662 * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1536827944.662 * * [misc]simplify: iters left: 5 (5 enodes) 1536827944.664 * * [misc]simplify: iters left: 4 (8 enodes) 1536827944.667 * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1536827944.667 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ N (cbrt (+ N 1)))))))) 1536827944.667 * * * * [misc]progress: [ 66 / 81 ] simplifiying candidate # 1536827944.667 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1536827944.668 * * [misc]simplify: iters left: 3 (4 enodes) 1536827944.669 * * [misc]simplify: iters left: 2 (7 enodes) 1536827944.671 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1536827944.671 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (/ (sqrt (+ 1 N)) (/ N (sqrt (+ N 1)))))))) 1536827944.671 * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # 1536827944.671 * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # 1536827944.672 * [enter]simplify: Simplifying (+ (pow N 3) (pow 1 3)) 1536827944.672 * * [misc]simplify: iters left: 3 (6 enodes) 1536827944.676 * * [misc]simplify: iters left: 2 (14 enodes) 1536827944.680 * * [misc]simplify: iters left: 1 (16 enodes) 1536827944.684 * [exit]simplify: Simplified to (fma (* N N) N 1) 1536827944.684 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (/ (fma (* N N) N 1) (* N (+ (* N N) (- (* 1 1) (* N 1))))))))) 1536827944.684 * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # 1536827944.684 * [enter]simplify: Simplifying (- (* N N) (* 1 1)) 1536827944.685 * * [misc]simplify: iters left: 4 (5 enodes) 1536827944.689 * * [misc]simplify: iters left: 3 (12 enodes) 1536827944.694 * * [misc]simplify: iters left: 2 (19 enodes) 1536827944.698 * * [misc]simplify: iters left: 1 (23 enodes) 1536827944.705 * [exit]simplify: Simplified to (fma N N -1) 1536827944.705 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (/ (fma N N -1) (* N (- N 1))))))) 1536827944.705 * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # 1536827944.706 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1536827944.706 * * [misc]simplify: iters left: 6 (8 enodes) 1536827944.710 * * [misc]simplify: iters left: 5 (15 enodes) 1536827944.717 * * [misc]simplify: iters left: 4 (29 enodes) 1536827944.731 * * [misc]simplify: iters left: 3 (55 enodes) 1536827944.761 * * [misc]simplify: iters left: 2 (104 enodes) 1536827944.781 * * [misc]simplify: iters left: 1 (143 enodes) 1536827944.841 * [exit]simplify: Simplified to (fma (* N -1/2) N (- N (log N))) 1536827944.841 * [misc]simplify: Simplified (2 1 2) to (λ (N) (+ (* 1/2 (fma (* N -1/2) N (- N (log N)))) (log (sqrt (/ (+ N 1) N))))) 1536827944.841 * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # 1536827944.842 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1536827944.843 * * [misc]simplify: iters left: 6 (15 enodes) 1536827944.853 * * [misc]simplify: iters left: 5 (32 enodes) 1536827944.871 * * [misc]simplify: iters left: 4 (61 enodes) 1536827944.901 * * [misc]simplify: iters left: 3 (103 enodes) 1536827944.955 * * [misc]simplify: iters left: 2 (168 enodes) 1536827945.031 * * [misc]simplify: iters left: 1 (248 enodes) 1536827945.186 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1536827945.186 * [misc]simplify: Simplified (2 1 2) to (λ (N) (+ (* 1/2 (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (log (sqrt (/ (+ N 1) N))))) 1536827945.186 * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # 1536827945.186 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1536827945.187 * * [misc]simplify: iters left: 6 (15 enodes) 1536827945.192 * * [misc]simplify: iters left: 5 (32 enodes) 1536827945.202 * * [misc]simplify: iters left: 4 (61 enodes) 1536827945.221 * * [misc]simplify: iters left: 3 (103 enodes) 1536827945.250 * * [misc]simplify: iters left: 2 (168 enodes) 1536827945.288 * * [misc]simplify: iters left: 1 (248 enodes) 1536827945.392 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1536827945.392 * [misc]simplify: Simplified (2 1 2) to (λ (N) (+ (* 1/2 (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (log (sqrt (/ (+ N 1) N))))) 1536827945.392 * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # 1536827945.392 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1536827945.392 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) +nan.0)) 1536827945.392 * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # 1536827945.392 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536827945.393 * * [misc]simplify: iters left: 6 (17 enodes) 1536827945.403 * * [misc]simplify: iters left: 5 (37 enodes) 1536827945.418 * * [misc]simplify: iters left: 4 (72 enodes) 1536827945.437 * * [misc]simplify: iters left: 3 (126 enodes) 1536827945.506 * * [misc]simplify: iters left: 2 (206 enodes) 1536827945.551 * * [misc]simplify: iters left: 1 (294 enodes) 1536827945.671 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1536827945.671 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) 1536827945.671 * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # 1536827945.672 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1536827945.673 * * [misc]simplify: iters left: 6 (17 enodes) 1536827945.682 * * [misc]simplify: iters left: 5 (37 enodes) 1536827945.705 * * [misc]simplify: iters left: 4 (72 enodes) 1536827945.742 * * [misc]simplify: iters left: 3 (126 enodes) 1536827945.810 * * [misc]simplify: iters left: 2 (206 enodes) 1536827945.868 * * [misc]simplify: iters left: 1 (294 enodes) 1536827946.008 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1536827946.008 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) 1536827946.008 * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # 1536827946.009 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1536827946.009 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log +nan.0))) 1536827946.009 * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # 1536827946.009 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536827946.010 * * [misc]simplify: iters left: 6 (12 enodes) 1536827946.019 * * [misc]simplify: iters left: 5 (27 enodes) 1536827946.035 * * [misc]simplify: iters left: 4 (52 enodes) 1536827946.061 * * [misc]simplify: iters left: 3 (90 enodes) 1536827946.085 * * [misc]simplify: iters left: 2 (135 enodes) 1536827946.126 * * [misc]simplify: iters left: 1 (181 enodes) 1536827946.165 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1536827946.165 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))))) 1536827946.165 * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # 1536827946.166 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1536827946.167 * * [misc]simplify: iters left: 6 (12 enodes) 1536827946.175 * * [misc]simplify: iters left: 5 (27 enodes) 1536827946.191 * * [misc]simplify: iters left: 4 (52 enodes) 1536827946.217 * * [misc]simplify: iters left: 3 (90 enodes) 1536827946.248 * * [misc]simplify: iters left: 2 (135 enodes) 1536827946.272 * * [misc]simplify: iters left: 1 (181 enodes) 1536827946.308 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1536827946.308 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))))) 1536827946.308 * * * * [misc]progress: [ 79 / 81 ] simplifiying candidate # 1536827946.308 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1536827946.308 * * [misc]simplify: iters left: 4 (4 enodes) 1536827946.309 * * [misc]simplify: iters left: 3 (7 enodes) 1536827946.310 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1536827946.310 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (+ 1 (/ 1 N)))))) 1536827946.310 * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # 1536827946.311 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1536827946.311 * * [misc]simplify: iters left: 4 (4 enodes) 1536827946.312 * * [misc]simplify: iters left: 3 (7 enodes) 1536827946.313 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1536827946.313 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (+ 1 (/ 1 N)))))) 1536827946.313 * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # 1536827946.313 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1536827946.313 * * [misc]simplify: iters left: 4 (4 enodes) 1536827946.314 * * [misc]simplify: iters left: 3 (7 enodes) 1536827946.316 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1536827946.316 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (+ 1 (/ 1 N)))))) 1536827946.316 * * * [misc]progress: adding candidates to table 1536827947.677 * [misc]progress: [Phase 3 of 3] Extracting. 1536827947.678 * * [misc]regime: Finding splitpoints for: (# # # # #) 1536827947.678 * * * [misc]regime-changes: Trying 1 branch expressions: (N) 1536827947.678 * * * * [misc]regimes: Trying to branch on N from (# # # # #) 1536827947.725 * * * [misc]regime: Found split indices: #