1545387435.384 * [misc]progress: [Phase 1 of 3] Setting up. 1545387435.384 * * * [misc]progress: [1/2] Preparing points 1545387435.384 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545387435.432 * * * * [misc]points: Filtering points with unrepresentable outputs 1545387435.432 * * * * [misc]points: Sampling 119 additional inputs, on iter 1 have 137 / 256 1545387435.447 * * * * [misc]points: Filtering points with unrepresentable outputs 1545387435.447 * * * * [misc]points: Sampling 60 additional inputs, on iter 2 have 196 / 256 1545387435.456 * * * * [misc]points: Filtering points with unrepresentable outputs 1545387435.456 * * * * [misc]points: Sampling 30 additional inputs, on iter 3 have 226 / 256 1545387435.461 * * * * [misc]points: Filtering points with unrepresentable outputs 1545387435.461 * * * * [misc]points: Sampling 17 additional inputs, on iter 4 have 239 / 256 1545387435.464 * * * * [misc]points: Filtering points with unrepresentable outputs 1545387435.464 * * * * [misc]points: Sampling 6 additional inputs, on iter 5 have 250 / 256 1545387435.466 * * * * [misc]points: Filtering points with unrepresentable outputs 1545387435.466 * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 252 / 256 1545387435.468 * * * * [misc]points: Filtering points with unrepresentable outputs 1545387435.468 * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 255 / 256 1545387435.470 * * * * [misc]points: Filtering points with unrepresentable outputs 1545387435.470 * * * * [exit]points: Sampled 256 points with exact outputs 1545387435.470 * * * [misc]progress: [2/2] Setting up program. 1545387435.474 * [misc]progress: [Phase 2 of 3] Improving. 1545387435.475 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1545387435.475 * * [misc]simplify: iters left: 5 (6 enodes) 1545387435.476 * * [misc]simplify: iters left: 4 (11 enodes) 1545387435.479 * * [misc]simplify: iters left: 3 (13 enodes) 1545387435.481 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545387435.488 * * [misc]progress: iteration 1 / 4 1545387435.489 * * * [misc]progress: picking best candidate 1545387435.491 * * * * [misc]pick: Picked # 1545387435.491 * * * [misc]progress: localizing error 1545387435.501 * * * [misc]progress: generating rewritten candidates 1545387435.501 * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) 1545387435.507 * * * [misc]progress: generating series expansions 1545387435.507 * * * * [misc]progress: [ 1 / 1 ] generating series at (2) 1545387435.507 * [misc]backup-simplify: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 1545387435.507 * [misc]approximate: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 1545387435.507 * [misc]taylor: Taking taylor expansion of (- (log1p N) (log N)) in N 1545387435.507 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1545387435.507 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1545387435.507 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1545387435.507 * [misc]taylor: Taking taylor expansion of 1 in N 1545387435.507 * [misc]backup-simplify: Simplify 1 into 1 1545387435.507 * [misc]taylor: Taking taylor expansion of N in N 1545387435.507 * [misc]backup-simplify: Simplify 0 into 0 1545387435.508 * [misc]backup-simplify: Simplify 1 into 1 1545387435.508 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387435.508 * [misc]backup-simplify: Simplify (log 1) into 0 1545387435.508 * [misc]taylor: Taking taylor expansion of (log N) in N 1545387435.508 * [misc]taylor: Taking taylor expansion of N in N 1545387435.508 * [misc]backup-simplify: Simplify 0 into 0 1545387435.508 * [misc]backup-simplify: Simplify 1 into 1 1545387435.508 * [misc]backup-simplify: Simplify (log 1) into 0 1545387435.508 * [misc]taylor: Taking taylor expansion of (- (log1p N) (log N)) in N 1545387435.508 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1545387435.508 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1545387435.508 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1545387435.508 * [misc]taylor: Taking taylor expansion of 1 in N 1545387435.508 * [misc]backup-simplify: Simplify 1 into 1 1545387435.508 * [misc]taylor: Taking taylor expansion of N in N 1545387435.508 * [misc]backup-simplify: Simplify 0 into 0 1545387435.508 * [misc]backup-simplify: Simplify 1 into 1 1545387435.508 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387435.509 * [misc]backup-simplify: Simplify (log 1) into 0 1545387435.509 * [misc]taylor: Taking taylor expansion of (log N) in N 1545387435.509 * [misc]taylor: Taking taylor expansion of N in N 1545387435.509 * [misc]backup-simplify: Simplify 0 into 0 1545387435.509 * [misc]backup-simplify: Simplify 1 into 1 1545387435.509 * [misc]backup-simplify: Simplify (log 1) into 0 1545387435.509 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1545387435.509 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545387435.509 * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) 1545387435.509 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545387435.509 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387435.511 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545387435.513 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545387435.513 * [misc]backup-simplify: Simplify (- 0) into 0 1545387435.513 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387435.513 * [misc]backup-simplify: Simplify 1 into 1 1545387435.514 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387435.516 * [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 1545387435.519 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545387435.519 * [misc]backup-simplify: Simplify (- 0) into 0 1545387435.519 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545387435.519 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545387435.519 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1545387435.519 * [misc]backup-simplify: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 1545387435.519 * [misc]approximate: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 1545387435.520 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 1545387435.520 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1545387435.520 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1545387435.520 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1545387435.520 * [misc]taylor: Taking taylor expansion of 1 in N 1545387435.520 * [misc]backup-simplify: Simplify 1 into 1 1545387435.520 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387435.520 * [misc]taylor: Taking taylor expansion of N in N 1545387435.520 * [misc]backup-simplify: Simplify 0 into 0 1545387435.520 * [misc]backup-simplify: Simplify 1 into 1 1545387435.520 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387435.520 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387435.520 * [misc]backup-simplify: Simplify (log 1) into 0 1545387435.520 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1545387435.520 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387435.520 * [misc]taylor: Taking taylor expansion of N in N 1545387435.520 * [misc]backup-simplify: Simplify 0 into 0 1545387435.520 * [misc]backup-simplify: Simplify 1 into 1 1545387435.520 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387435.520 * [misc]backup-simplify: Simplify (log 1) into 0 1545387435.520 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 1545387435.520 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1545387435.520 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1545387435.520 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1545387435.520 * [misc]taylor: Taking taylor expansion of 1 in N 1545387435.520 * [misc]backup-simplify: Simplify 1 into 1 1545387435.520 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387435.520 * [misc]taylor: Taking taylor expansion of N in N 1545387435.520 * [misc]backup-simplify: Simplify 0 into 0 1545387435.521 * [misc]backup-simplify: Simplify 1 into 1 1545387435.521 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387435.521 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387435.521 * [misc]backup-simplify: Simplify (log 1) into 0 1545387435.521 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1545387435.521 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387435.521 * [misc]taylor: Taking taylor expansion of N in N 1545387435.521 * [misc]backup-simplify: Simplify 0 into 0 1545387435.521 * [misc]backup-simplify: Simplify 1 into 1 1545387435.521 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387435.521 * [misc]backup-simplify: Simplify (log 1) into 0 1545387435.521 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545387435.521 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545387435.521 * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) 1545387435.522 * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 1545387435.522 * [misc]backup-simplify: Simplify 0 into 0 1545387435.522 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387435.522 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387435.523 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545387435.524 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387435.525 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545387435.525 * [misc]backup-simplify: Simplify (- 0) into 0 1545387435.525 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387435.525 * [misc]backup-simplify: Simplify 1 into 1 1545387435.525 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387435.525 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387435.528 * [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 1545387435.528 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387435.531 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545387435.531 * [misc]backup-simplify: Simplify (- 0) into 0 1545387435.531 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545387435.531 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545387435.531 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387435.531 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387435.552 * [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 1545387435.553 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387435.559 * [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 1545387435.559 * [misc]backup-simplify: Simplify (- 0) into 0 1545387435.560 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545387435.560 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545387435.560 * [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)))) 1545387435.560 * [misc]backup-simplify: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 1545387435.560 * [misc]approximate: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 1545387435.560 * [misc]taylor: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 1545387435.560 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1545387435.560 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1545387435.560 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1545387435.560 * [misc]taylor: Taking taylor expansion of 1 in N 1545387435.560 * [misc]backup-simplify: Simplify 1 into 1 1545387435.560 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1545387435.560 * [misc]taylor: Taking taylor expansion of -1 in N 1545387435.561 * [misc]backup-simplify: Simplify -1 into -1 1545387435.561 * [misc]taylor: Taking taylor expansion of N in N 1545387435.561 * [misc]backup-simplify: Simplify 0 into 0 1545387435.561 * [misc]backup-simplify: Simplify 1 into 1 1545387435.561 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545387435.561 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387435.561 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545387435.561 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1545387435.561 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1545387435.561 * [misc]taylor: Taking taylor expansion of -1 in N 1545387435.561 * [misc]backup-simplify: Simplify -1 into -1 1545387435.562 * [misc]taylor: Taking taylor expansion of N in N 1545387435.562 * [misc]backup-simplify: Simplify 0 into 0 1545387435.562 * [misc]backup-simplify: Simplify 1 into 1 1545387435.562 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545387435.562 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545387435.562 * [misc]taylor: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 1545387435.562 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1545387435.562 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1545387435.562 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1545387435.562 * [misc]taylor: Taking taylor expansion of 1 in N 1545387435.562 * [misc]backup-simplify: Simplify 1 into 1 1545387435.562 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1545387435.562 * [misc]taylor: Taking taylor expansion of -1 in N 1545387435.562 * [misc]backup-simplify: Simplify -1 into -1 1545387435.562 * [misc]taylor: Taking taylor expansion of N in N 1545387435.562 * [misc]backup-simplify: Simplify 0 into 0 1545387435.562 * [misc]backup-simplify: Simplify 1 into 1 1545387435.562 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545387435.563 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387435.563 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545387435.563 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1545387435.563 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1545387435.563 * [misc]taylor: Taking taylor expansion of -1 in N 1545387435.563 * [misc]backup-simplify: Simplify -1 into -1 1545387435.563 * [misc]taylor: Taking taylor expansion of N in N 1545387435.563 * [misc]backup-simplify: Simplify 0 into 0 1545387435.563 * [misc]backup-simplify: Simplify 1 into 1 1545387435.563 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545387435.563 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545387435.564 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1545387435.564 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1545387435.564 * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1545387435.564 * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1545387435.565 * [misc]backup-simplify: Simplify 0 into 0 1545387435.565 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545387435.565 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387435.567 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1545387435.568 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545387435.570 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545387435.570 * [misc]backup-simplify: Simplify (- 0) into 0 1545387435.570 * [misc]backup-simplify: Simplify (+ -1 0) into -1 1545387435.570 * [misc]backup-simplify: Simplify -1 into -1 1545387435.570 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387435.571 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387435.575 * [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 1545387435.575 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387435.579 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545387435.579 * [misc]backup-simplify: Simplify (- 0) into 0 1545387435.579 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545387435.579 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545387435.580 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387435.580 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387435.587 * [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 1545387435.587 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387435.593 * [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 1545387435.594 * [misc]backup-simplify: Simplify (- 0) into 0 1545387435.594 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1545387435.594 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545387435.594 * [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)))) 1545387435.594 * * * [misc]progress: simplifying candidates 1545387435.594 * * * * [misc]progress: [ 1 / 32 ] simplifiying candidate # 1545387435.595 * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1545387435.595 * * [misc]simplify: iters left: 6 (10 enodes) 1545387435.598 * * [misc]simplify: iters left: 5 (19 enodes) 1545387435.604 * * [misc]simplify: iters left: 4 (26 enodes) 1545387435.610 * * [misc]simplify: iters left: 3 (32 enodes) 1545387435.613 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545387435.613 * [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))))))) 1545387435.613 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1545387435.614 * * [misc]simplify: iters left: 6 (7 enodes) 1545387435.615 * * [misc]simplify: iters left: 5 (12 enodes) 1545387435.616 * * [misc]simplify: iters left: 4 (19 enodes) 1545387435.620 * * [misc]simplify: iters left: 3 (38 enodes) 1545387435.625 * * [misc]simplify: iters left: 2 (46 enodes) 1545387435.628 * [exit]simplify: Simplified to 0 1545387435.628 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1545387435.628 * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # 1545387435.629 * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) 1545387435.629 * * [misc]simplify: iters left: 6 (9 enodes) 1545387435.630 * * [misc]simplify: iters left: 5 (14 enodes) 1545387435.632 * * [misc]simplify: iters left: 4 (18 enodes) 1545387435.634 * * [misc]simplify: iters left: 3 (23 enodes) 1545387435.639 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545387435.639 * [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)))))) 1545387435.639 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1545387435.639 * * [misc]simplify: iters left: 5 (6 enodes) 1545387435.641 * * [misc]simplify: iters left: 4 (8 enodes) 1545387435.644 * * [misc]simplify: iters left: 3 (14 enodes) 1545387435.648 * * [misc]simplify: iters left: 2 (20 enodes) 1545387435.652 * * [misc]simplify: iters left: 1 (22 enodes) 1545387435.655 * [exit]simplify: Simplified to 0 1545387435.655 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1545387435.655 * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # 1545387435.656 * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) 1545387435.656 * * [misc]simplify: iters left: 6 (9 enodes) 1545387435.659 * * [misc]simplify: iters left: 5 (19 enodes) 1545387435.666 * * [misc]simplify: iters left: 4 (26 enodes) 1545387435.677 * * [misc]simplify: iters left: 3 (37 enodes) 1545387435.685 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545387435.685 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1545387435.685 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1545387435.686 * * [misc]simplify: iters left: 4 (6 enodes) 1545387435.688 * * [misc]simplify: iters left: 3 (11 enodes) 1545387435.692 * * [misc]simplify: iters left: 2 (21 enodes) 1545387435.698 * * [misc]simplify: iters left: 1 (30 enodes) 1545387435.703 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1545387435.703 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1545387435.703 * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # 1545387435.704 * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1545387435.704 * * [misc]simplify: iters left: 6 (9 enodes) 1545387435.707 * * [misc]simplify: iters left: 5 (18 enodes) 1545387435.712 * * [misc]simplify: iters left: 4 (24 enodes) 1545387435.719 * * [misc]simplify: iters left: 3 (29 enodes) 1545387435.725 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545387435.725 * [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))))))) 1545387435.725 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1545387435.726 * * [misc]simplify: iters left: 6 (7 enodes) 1545387435.728 * * [misc]simplify: iters left: 5 (12 enodes) 1545387435.731 * * [misc]simplify: iters left: 4 (19 enodes) 1545387435.735 * * [misc]simplify: iters left: 3 (38 enodes) 1545387435.740 * * [misc]simplify: iters left: 2 (46 enodes) 1545387435.744 * [exit]simplify: Simplified to 0 1545387435.744 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1545387435.744 * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # 1545387435.744 * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) 1545387435.744 * * [misc]simplify: iters left: 6 (8 enodes) 1545387435.745 * * [misc]simplify: iters left: 5 (13 enodes) 1545387435.747 * * [misc]simplify: iters left: 4 (16 enodes) 1545387435.749 * * [misc]simplify: iters left: 3 (22 enodes) 1545387435.752 * * [misc]simplify: iters left: 2 (25 enodes) 1545387435.755 * * [misc]simplify: iters left: 1 (40 enodes) 1545387435.762 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545387435.762 * [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)))))) 1545387435.762 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1545387435.762 * * [misc]simplify: iters left: 5 (6 enodes) 1545387435.763 * * [misc]simplify: iters left: 4 (8 enodes) 1545387435.764 * * [misc]simplify: iters left: 3 (14 enodes) 1545387435.767 * * [misc]simplify: iters left: 2 (20 enodes) 1545387435.769 * * [misc]simplify: iters left: 1 (22 enodes) 1545387435.771 * [exit]simplify: Simplified to 0 1545387435.771 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1545387435.771 * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # 1545387435.771 * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) 1545387435.771 * * [misc]simplify: iters left: 6 (8 enodes) 1545387435.773 * * [misc]simplify: iters left: 5 (18 enodes) 1545387435.776 * * [misc]simplify: iters left: 4 (24 enodes) 1545387435.781 * * [misc]simplify: iters left: 3 (33 enodes) 1545387435.784 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545387435.784 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1545387435.784 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1545387435.784 * * [misc]simplify: iters left: 4 (6 enodes) 1545387435.785 * * [misc]simplify: iters left: 3 (11 enodes) 1545387435.787 * * [misc]simplify: iters left: 2 (21 enodes) 1545387435.790 * * [misc]simplify: iters left: 1 (30 enodes) 1545387435.793 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1545387435.793 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1545387435.793 * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # 1545387435.793 * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1545387435.793 * * [misc]simplify: iters left: 6 (9 enodes) 1545387435.795 * * [misc]simplify: iters left: 5 (20 enodes) 1545387435.797 * * [misc]simplify: iters left: 4 (27 enodes) 1545387435.802 * * [misc]simplify: iters left: 3 (36 enodes) 1545387435.805 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545387435.805 * [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))))))) 1545387435.805 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1545387435.805 * * [misc]simplify: iters left: 6 (7 enodes) 1545387435.806 * * [misc]simplify: iters left: 5 (12 enodes) 1545387435.808 * * [misc]simplify: iters left: 4 (19 enodes) 1545387435.812 * * [misc]simplify: iters left: 3 (38 enodes) 1545387435.817 * * [misc]simplify: iters left: 2 (46 enodes) 1545387435.820 * [exit]simplify: Simplified to 0 1545387435.820 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1545387435.820 * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # 1545387435.821 * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))) 1545387435.821 * * [misc]simplify: iters left: 6 (8 enodes) 1545387435.822 * * [misc]simplify: iters left: 5 (15 enodes) 1545387435.824 * * [misc]simplify: iters left: 4 (19 enodes) 1545387435.827 * * [misc]simplify: iters left: 3 (26 enodes) 1545387435.831 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545387435.832 * [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)))))) 1545387435.832 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1545387435.832 * * [misc]simplify: iters left: 5 (6 enodes) 1545387435.834 * * [misc]simplify: iters left: 4 (8 enodes) 1545387435.836 * * [misc]simplify: iters left: 3 (14 enodes) 1545387435.840 * * [misc]simplify: iters left: 2 (20 enodes) 1545387435.845 * * [misc]simplify: iters left: 1 (22 enodes) 1545387435.848 * [exit]simplify: Simplified to 0 1545387435.848 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1545387435.848 * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # 1545387435.849 * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (log N) 1))) 1545387435.849 * * [misc]simplify: iters left: 6 (7 enodes) 1545387435.852 * * [misc]simplify: iters left: 5 (17 enodes) 1545387435.857 * * [misc]simplify: iters left: 4 (24 enodes) 1545387435.867 * * [misc]simplify: iters left: 3 (36 enodes) 1545387435.874 * * [misc]simplify: iters left: 2 (39 enodes) 1545387435.882 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545387435.882 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1545387435.882 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1545387435.882 * * [misc]simplify: iters left: 4 (6 enodes) 1545387435.886 * * [misc]simplify: iters left: 3 (11 enodes) 1545387435.891 * * [misc]simplify: iters left: 2 (21 enodes) 1545387435.897 * * [misc]simplify: iters left: 1 (30 enodes) 1545387435.903 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1545387435.903 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1545387435.903 * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # 1545387435.903 * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # 1545387435.903 * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # 1545387435.903 * [enter]simplify: Simplifying (* (cbrt (log1p N)) (cbrt (log1p N))) 1545387435.903 * * [misc]simplify: iters left: 4 (4 enodes) 1545387435.905 * [exit]simplify: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) 1545387435.905 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (log N)))) 1545387435.905 * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # 1545387435.905 * [enter]simplify: Simplifying (sqrt (log1p N)) 1545387435.905 * * [misc]simplify: iters left: 2 (3 enodes) 1545387435.906 * [exit]simplify: Simplified to (sqrt (log1p N)) 1545387435.906 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) 1545387435.906 * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # 1545387435.906 * * * * [misc]progress: [ 15 / 32 ] simplifiying candidate # 1545387435.906 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1545387435.906 * * [misc]simplify: iters left: 4 (4 enodes) 1545387435.907 * * [misc]simplify: iters left: 3 (7 enodes) 1545387435.908 * [exit]simplify: Simplified to (/ (+ N 1) N) 1545387435.908 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 1545387435.908 * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # 1545387435.909 * [enter]simplify: Simplifying (/ (exp (log1p N)) N) 1545387435.909 * * [misc]simplify: iters left: 4 (4 enodes) 1545387435.909 * [exit]simplify: Simplified to (/ (exp (log1p N)) N) 1545387435.909 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (exp (log1p N)) N))) 1545387435.909 * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # 1545387435.909 * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # 1545387435.909 * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # 1545387435.909 * * * * [misc]progress: [ 20 / 32 ] simplifiying candidate # 1545387435.909 * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # 1545387435.909 * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # 1545387435.909 * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # 1545387435.910 * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # 1545387435.910 * * * * [misc]progress: [ 25 / 32 ] simplifiying candidate # 1545387435.910 * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # 1545387435.910 * * * * [misc]progress: [ 27 / 32 ] simplifiying candidate # 1545387435.910 * [enter]simplify: Simplifying (+ (sqrt (log1p N)) (sqrt (log N))) 1545387435.910 * * [misc]simplify: iters left: 4 (6 enodes) 1545387435.911 * * [misc]simplify: iters left: 3 (7 enodes) 1545387435.912 * [exit]simplify: Simplified to (+ (sqrt (log1p N)) (sqrt (log N))) 1545387435.912 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))))) 1545387435.912 * [enter]simplify: Simplifying (- (sqrt (log1p N)) (sqrt (log N))) 1545387435.912 * * [misc]simplify: iters left: 4 (6 enodes) 1545387435.913 * * [misc]simplify: iters left: 3 (8 enodes) 1545387435.914 * * [misc]simplify: iters left: 2 (9 enodes) 1545387435.915 * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) 1545387435.915 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))))) 1545387435.915 * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # 1545387435.915 * [enter]simplify: Simplifying (- (log1p N) (log N)) 1545387435.915 * * [misc]simplify: iters left: 3 (4 enodes) 1545387435.916 * * [misc]simplify: iters left: 2 (6 enodes) 1545387435.917 * * [misc]simplify: iters left: 1 (7 enodes) 1545387435.918 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545387435.918 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) 1545387435.918 * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # 1545387435.918 * * * * [misc]progress: [ 30 / 32 ] simplifiying candidate # 1545387435.918 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1545387435.919 * * [misc]simplify: iters left: 6 (8 enodes) 1545387435.920 * * [misc]simplify: iters left: 5 (15 enodes) 1545387435.922 * * [misc]simplify: iters left: 4 (29 enodes) 1545387435.927 * * [misc]simplify: iters left: 3 (55 enodes) 1545387435.937 * * [misc]simplify: iters left: 2 (104 enodes) 1545387435.952 * * [misc]simplify: iters left: 1 (143 enodes) 1545387435.982 * [exit]simplify: Simplified to (fma (* N -1/2) N (- N (log N))) 1545387435.982 * [misc]simplify: Simplified (2) to (λ (N) (fma (* N -1/2) N (- N (log N)))) 1545387435.982 * * * * [misc]progress: [ 31 / 32 ] simplifiying candidate # 1545387435.982 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545387435.982 * * [misc]simplify: iters left: 6 (15 enodes) 1545387435.986 * * [misc]simplify: iters left: 5 (32 enodes) 1545387435.999 * * [misc]simplify: iters left: 4 (61 enodes) 1545387436.021 * * [misc]simplify: iters left: 3 (103 enodes) 1545387436.050 * * [misc]simplify: iters left: 2 (168 enodes) 1545387436.102 * * [misc]simplify: iters left: 1 (248 enodes) 1545387436.211 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1545387436.211 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545387436.211 * * * * [misc]progress: [ 32 / 32 ] simplifiying candidate # 1545387436.212 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545387436.212 * * [misc]simplify: iters left: 6 (15 enodes) 1545387436.216 * * [misc]simplify: iters left: 5 (32 enodes) 1545387436.223 * * [misc]simplify: iters left: 4 (61 enodes) 1545387436.239 * * [misc]simplify: iters left: 3 (103 enodes) 1545387436.271 * * [misc]simplify: iters left: 2 (168 enodes) 1545387436.303 * * [misc]simplify: iters left: 1 (248 enodes) 1545387436.373 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1545387436.373 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545387436.373 * * * [misc]progress: adding candidates to table 1545387436.630 * * [misc]progress: iteration 2 / 4 1545387436.630 * * * [misc]progress: picking best candidate 1545387436.641 * * * * [misc]pick: Picked # 1545387436.641 * * * [misc]progress: localizing error 1545387436.657 * * * [misc]progress: generating rewritten candidates 1545387436.657 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1545387436.659 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1545387436.664 * * * [misc]progress: generating series expansions 1545387436.664 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1545387436.665 * [misc]backup-simplify: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1545387436.665 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1545387436.665 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545387436.665 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387436.665 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387436.665 * [misc]taylor: Taking taylor expansion of N in N 1545387436.665 * [misc]backup-simplify: Simplify 0 into 0 1545387436.665 * [misc]backup-simplify: Simplify 1 into 1 1545387436.665 * [misc]taylor: Taking taylor expansion of 1 in N 1545387436.665 * [misc]backup-simplify: Simplify 1 into 1 1545387436.665 * [misc]taylor: Taking taylor expansion of N in N 1545387436.665 * [misc]backup-simplify: Simplify 0 into 0 1545387436.665 * [misc]backup-simplify: Simplify 1 into 1 1545387436.665 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387436.665 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387436.666 * [misc]backup-simplify: Simplify (log 1) into 0 1545387436.666 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545387436.666 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387436.666 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387436.666 * [misc]taylor: Taking taylor expansion of N in N 1545387436.666 * [misc]backup-simplify: Simplify 0 into 0 1545387436.666 * [misc]backup-simplify: Simplify 1 into 1 1545387436.666 * [misc]taylor: Taking taylor expansion of 1 in N 1545387436.666 * [misc]backup-simplify: Simplify 1 into 1 1545387436.666 * [misc]taylor: Taking taylor expansion of N in N 1545387436.666 * [misc]backup-simplify: Simplify 0 into 0 1545387436.666 * [misc]backup-simplify: Simplify 1 into 1 1545387436.666 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387436.666 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387436.666 * [misc]backup-simplify: Simplify (log 1) into 0 1545387436.667 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545387436.667 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545387436.667 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387436.667 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545387436.669 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545387436.669 * [misc]backup-simplify: Simplify 1 into 1 1545387436.669 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.669 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545387436.672 * [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 1545387436.672 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545387436.672 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1545387436.672 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1545387436.672 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1545387436.672 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545387436.672 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387436.672 * [misc]taylor: Taking taylor expansion of N in N 1545387436.672 * [misc]backup-simplify: Simplify 0 into 0 1545387436.672 * [misc]backup-simplify: Simplify 1 into 1 1545387436.672 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387436.672 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387436.672 * [misc]taylor: Taking taylor expansion of N in N 1545387436.672 * [misc]backup-simplify: Simplify 0 into 0 1545387436.672 * [misc]backup-simplify: Simplify 1 into 1 1545387436.672 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387436.672 * [misc]taylor: Taking taylor expansion of 1 in N 1545387436.672 * [misc]backup-simplify: Simplify 1 into 1 1545387436.672 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387436.672 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387436.673 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387436.673 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387436.673 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387436.673 * [misc]backup-simplify: Simplify (log 1) into 0 1545387436.673 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545387436.673 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387436.673 * [misc]taylor: Taking taylor expansion of N in N 1545387436.673 * [misc]backup-simplify: Simplify 0 into 0 1545387436.673 * [misc]backup-simplify: Simplify 1 into 1 1545387436.673 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387436.673 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387436.673 * [misc]taylor: Taking taylor expansion of N in N 1545387436.673 * [misc]backup-simplify: Simplify 0 into 0 1545387436.673 * [misc]backup-simplify: Simplify 1 into 1 1545387436.673 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387436.673 * [misc]taylor: Taking taylor expansion of 1 in N 1545387436.673 * [misc]backup-simplify: Simplify 1 into 1 1545387436.673 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387436.673 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387436.674 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387436.674 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387436.674 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387436.674 * [misc]backup-simplify: Simplify (log 1) into 0 1545387436.674 * [misc]backup-simplify: Simplify 0 into 0 1545387436.674 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.674 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.674 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387436.676 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545387436.676 * [misc]backup-simplify: Simplify 1 into 1 1545387436.676 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.676 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.676 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545387436.679 * [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 1545387436.679 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545387436.679 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.679 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.680 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545387436.684 * [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 1545387436.684 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545387436.684 * [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)))) 1545387436.684 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1545387436.684 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1545387436.684 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545387436.684 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387436.684 * [misc]taylor: Taking taylor expansion of -1 in N 1545387436.684 * [misc]backup-simplify: Simplify -1 into -1 1545387436.684 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387436.684 * [misc]taylor: Taking taylor expansion of N in N 1545387436.684 * [misc]backup-simplify: Simplify 0 into 0 1545387436.684 * [misc]backup-simplify: Simplify 1 into 1 1545387436.684 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387436.684 * [misc]taylor: Taking taylor expansion of 1 in N 1545387436.684 * [misc]backup-simplify: Simplify 1 into 1 1545387436.684 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387436.684 * [misc]taylor: Taking taylor expansion of N in N 1545387436.684 * [misc]backup-simplify: Simplify 0 into 0 1545387436.684 * [misc]backup-simplify: Simplify 1 into 1 1545387436.684 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387436.684 * [misc]backup-simplify: Simplify (- 1) into -1 1545387436.685 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387436.685 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387436.685 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387436.685 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387436.685 * [misc]backup-simplify: Simplify (- 0) into 0 1545387436.685 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387436.685 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387436.685 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387436.685 * [misc]backup-simplify: Simplify (log 1) into 0 1545387436.686 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545387436.686 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387436.686 * [misc]taylor: Taking taylor expansion of -1 in N 1545387436.686 * [misc]backup-simplify: Simplify -1 into -1 1545387436.686 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387436.686 * [misc]taylor: Taking taylor expansion of N in N 1545387436.686 * [misc]backup-simplify: Simplify 0 into 0 1545387436.686 * [misc]backup-simplify: Simplify 1 into 1 1545387436.686 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387436.686 * [misc]taylor: Taking taylor expansion of 1 in N 1545387436.686 * [misc]backup-simplify: Simplify 1 into 1 1545387436.686 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387436.686 * [misc]taylor: Taking taylor expansion of N in N 1545387436.686 * [misc]backup-simplify: Simplify 0 into 0 1545387436.686 * [misc]backup-simplify: Simplify 1 into 1 1545387436.686 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387436.686 * [misc]backup-simplify: Simplify (- 1) into -1 1545387436.686 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387436.686 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387436.686 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387436.686 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387436.686 * [misc]backup-simplify: Simplify (- 0) into 0 1545387436.687 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387436.687 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387436.687 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387436.687 * [misc]backup-simplify: Simplify (log 1) into 0 1545387436.687 * [misc]backup-simplify: Simplify 0 into 0 1545387436.687 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.687 * [misc]backup-simplify: Simplify (- 0) into 0 1545387436.687 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.688 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387436.688 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387436.689 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1545387436.689 * [misc]backup-simplify: Simplify -1 into -1 1545387436.690 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.690 * [misc]backup-simplify: Simplify (- 0) into 0 1545387436.690 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.690 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545387436.690 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545387436.693 * [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 1545387436.693 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545387436.693 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.693 * [misc]backup-simplify: Simplify (- 0) into 0 1545387436.693 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.693 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545387436.694 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545387436.698 * [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 1545387436.698 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545387436.698 * [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)))) 1545387436.698 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1545387436.698 * [misc]backup-simplify: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 1545387436.698 * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1545387436.698 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387436.698 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387436.698 * [misc]taylor: Taking taylor expansion of N in N 1545387436.698 * [misc]backup-simplify: Simplify 0 into 0 1545387436.698 * [misc]backup-simplify: Simplify 1 into 1 1545387436.698 * [misc]taylor: Taking taylor expansion of 1 in N 1545387436.698 * [misc]backup-simplify: Simplify 1 into 1 1545387436.698 * [misc]taylor: Taking taylor expansion of N in N 1545387436.698 * [misc]backup-simplify: Simplify 0 into 0 1545387436.698 * [misc]backup-simplify: Simplify 1 into 1 1545387436.698 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387436.698 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387436.698 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387436.698 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387436.698 * [misc]taylor: Taking taylor expansion of N in N 1545387436.698 * [misc]backup-simplify: Simplify 0 into 0 1545387436.699 * [misc]backup-simplify: Simplify 1 into 1 1545387436.699 * [misc]taylor: Taking taylor expansion of 1 in N 1545387436.699 * [misc]backup-simplify: Simplify 1 into 1 1545387436.699 * [misc]taylor: Taking taylor expansion of N in N 1545387436.699 * [misc]backup-simplify: Simplify 0 into 0 1545387436.699 * [misc]backup-simplify: Simplify 1 into 1 1545387436.699 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387436.699 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387436.699 * [misc]backup-simplify: Simplify 1 into 1 1545387436.699 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387436.699 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545387436.699 * [misc]backup-simplify: Simplify 1 into 1 1545387436.699 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.699 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545387436.700 * [misc]backup-simplify: Simplify 0 into 0 1545387436.700 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.700 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.700 * [misc]backup-simplify: Simplify 0 into 0 1545387436.700 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.700 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.700 * [misc]backup-simplify: Simplify 0 into 0 1545387436.700 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.701 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.701 * [misc]backup-simplify: Simplify 0 into 0 1545387436.701 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.701 * [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 1545387436.701 * [misc]backup-simplify: Simplify 0 into 0 1545387436.701 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.702 * [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 1545387436.702 * [misc]backup-simplify: Simplify 0 into 0 1545387436.702 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1545387436.702 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1545387436.702 * [misc]approximate: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1545387436.702 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387436.702 * [misc]taylor: Taking taylor expansion of N in N 1545387436.702 * [misc]backup-simplify: Simplify 0 into 0 1545387436.702 * [misc]backup-simplify: Simplify 1 into 1 1545387436.702 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387436.702 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387436.702 * [misc]taylor: Taking taylor expansion of N in N 1545387436.702 * [misc]backup-simplify: Simplify 0 into 0 1545387436.702 * [misc]backup-simplify: Simplify 1 into 1 1545387436.702 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387436.702 * [misc]taylor: Taking taylor expansion of 1 in N 1545387436.702 * [misc]backup-simplify: Simplify 1 into 1 1545387436.702 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387436.702 * [misc]taylor: Taking taylor expansion of N in N 1545387436.702 * [misc]backup-simplify: Simplify 0 into 0 1545387436.702 * [misc]backup-simplify: Simplify 1 into 1 1545387436.702 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387436.702 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387436.702 * [misc]taylor: Taking taylor expansion of N in N 1545387436.702 * [misc]backup-simplify: Simplify 0 into 0 1545387436.702 * [misc]backup-simplify: Simplify 1 into 1 1545387436.702 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387436.702 * [misc]taylor: Taking taylor expansion of 1 in N 1545387436.702 * [misc]backup-simplify: Simplify 1 into 1 1545387436.703 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387436.703 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387436.703 * [misc]backup-simplify: Simplify 0 into 0 1545387436.703 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387436.703 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387436.703 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387436.703 * [misc]backup-simplify: Simplify 1 into 1 1545387436.703 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.703 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.704 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387436.704 * [misc]backup-simplify: Simplify 1 into 1 1545387436.704 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.704 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.704 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545387436.704 * [misc]backup-simplify: Simplify 0 into 0 1545387436.704 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.705 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.705 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545387436.705 * [misc]backup-simplify: Simplify 0 into 0 1545387436.705 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.705 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.705 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1545387436.705 * [misc]backup-simplify: Simplify 0 into 0 1545387436.706 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.706 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.706 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1545387436.706 * [misc]backup-simplify: Simplify 0 into 0 1545387436.707 * [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 1545387436.707 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.707 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1545387436.707 * [misc]backup-simplify: Simplify 0 into 0 1545387436.708 * [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 1545387436.708 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.708 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1545387436.708 * [misc]backup-simplify: Simplify 0 into 0 1545387436.709 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1545387436.709 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1545387436.709 * [misc]approximate: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1545387436.709 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387436.709 * [misc]taylor: Taking taylor expansion of -1 in N 1545387436.709 * [misc]backup-simplify: Simplify -1 into -1 1545387436.709 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387436.709 * [misc]taylor: Taking taylor expansion of N in N 1545387436.709 * [misc]backup-simplify: Simplify 0 into 0 1545387436.709 * [misc]backup-simplify: Simplify 1 into 1 1545387436.709 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387436.709 * [misc]taylor: Taking taylor expansion of 1 in N 1545387436.709 * [misc]backup-simplify: Simplify 1 into 1 1545387436.709 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387436.709 * [misc]taylor: Taking taylor expansion of N in N 1545387436.709 * [misc]backup-simplify: Simplify 0 into 0 1545387436.709 * [misc]backup-simplify: Simplify 1 into 1 1545387436.709 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387436.709 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387436.709 * [misc]taylor: Taking taylor expansion of -1 in N 1545387436.709 * [misc]backup-simplify: Simplify -1 into -1 1545387436.709 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387436.709 * [misc]taylor: Taking taylor expansion of N in N 1545387436.709 * [misc]backup-simplify: Simplify 0 into 0 1545387436.710 * [misc]backup-simplify: Simplify 1 into 1 1545387436.710 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387436.710 * [misc]taylor: Taking taylor expansion of 1 in N 1545387436.710 * [misc]backup-simplify: Simplify 1 into 1 1545387436.710 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387436.710 * [misc]taylor: Taking taylor expansion of N in N 1545387436.710 * [misc]backup-simplify: Simplify 0 into 0 1545387436.710 * [misc]backup-simplify: Simplify 1 into 1 1545387436.710 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387436.710 * [misc]backup-simplify: Simplify (- 1) into -1 1545387436.710 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387436.710 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387436.710 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387436.711 * [misc]backup-simplify: Simplify 0 into 0 1545387436.711 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387436.711 * [misc]backup-simplify: Simplify (- 0) into 0 1545387436.711 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387436.711 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387436.712 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387436.712 * [misc]backup-simplify: Simplify 1 into 1 1545387436.712 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.712 * [misc]backup-simplify: Simplify (- 0) into 0 1545387436.712 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.712 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387436.713 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387436.715 * [misc]backup-simplify: Simplify -1 into -1 1545387436.716 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.716 * [misc]backup-simplify: Simplify (- 0) into 0 1545387436.716 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.717 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545387436.717 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545387436.717 * [misc]backup-simplify: Simplify 0 into 0 1545387436.717 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.717 * [misc]backup-simplify: Simplify (- 0) into 0 1545387436.718 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.718 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545387436.718 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545387436.718 * [misc]backup-simplify: Simplify 0 into 0 1545387436.719 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.719 * [misc]backup-simplify: Simplify (- 0) into 0 1545387436.719 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.720 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1545387436.720 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1545387436.720 * [misc]backup-simplify: Simplify 0 into 0 1545387436.721 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387436.721 * [misc]backup-simplify: Simplify (- 0) into 0 1545387436.721 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.721 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1545387436.722 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1545387436.722 * [misc]backup-simplify: Simplify 0 into 0 1545387436.722 * [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 1545387436.723 * [misc]backup-simplify: Simplify (- 0) into 0 1545387436.723 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.723 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1545387436.724 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1545387436.724 * [misc]backup-simplify: Simplify 0 into 0 1545387436.725 * [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 1545387436.725 * [misc]backup-simplify: Simplify (- 0) into 0 1545387436.725 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387436.725 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1545387436.726 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1545387436.726 * [misc]backup-simplify: Simplify 0 into 0 1545387436.726 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1545387436.726 * * * [misc]progress: simplifying candidates 1545387436.726 * * * * [misc]progress: [ 1 / 39 ] simplifiying candidate # 1545387436.727 * * * * [misc]progress: [ 2 / 39 ] simplifiying candidate # 1545387436.727 * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # 1545387436.727 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1545387436.727 * * [misc]simplify: iters left: 6 (7 enodes) 1545387436.729 * * [misc]simplify: iters left: 5 (12 enodes) 1545387436.733 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1545387436.733 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N))))) 1545387436.734 * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # 1545387436.734 * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) 1545387436.734 * * [misc]simplify: iters left: 6 (6 enodes) 1545387436.736 * * [misc]simplify: iters left: 5 (9 enodes) 1545387436.738 * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) 1545387436.738 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 1545387436.738 * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # 1545387436.739 * [enter]simplify: Simplifying (log 1) 1545387436.739 * * [misc]simplify: iters left: 1 (2 enodes) 1545387436.740 * [exit]simplify: Simplified to 0 1545387436.740 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ 1 N) N)))) 1545387436.740 * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # 1545387436.741 * [enter]simplify: Simplifying (log (+ 1 N)) 1545387436.741 * * [misc]simplify: iters left: 3 (4 enodes) 1545387436.742 * * [misc]simplify: iters left: 2 (8 enodes) 1545387436.744 * [exit]simplify: Simplified to (log1p N) 1545387436.744 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log1p N) (log (/ 1 N)))) 1545387436.744 * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # 1545387436.744 * [enter]simplify: Simplifying (log (+ 1 N)) 1545387436.745 * * [misc]simplify: iters left: 3 (4 enodes) 1545387436.746 * * [misc]simplify: iters left: 2 (8 enodes) 1545387436.748 * [exit]simplify: Simplified to (log1p N) 1545387436.748 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log1p N) (log N))) 1545387436.748 * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # 1545387436.748 * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # 1545387436.748 * * * * [misc]progress: [ 10 / 39 ] simplifiying candidate # 1545387436.748 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1545387436.748 * * [misc]simplify: iters left: 4 (4 enodes) 1545387436.749 * * [misc]simplify: iters left: 3 (7 enodes) 1545387436.751 * [exit]simplify: Simplified to (/ (+ N 1) N) 1545387436.751 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 1545387436.751 * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # 1545387436.751 * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # 1545387436.751 * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # 1545387436.751 * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # 1545387436.752 * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # 1545387436.752 * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # 1545387436.752 * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # 1545387436.752 * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # 1545387436.752 * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # 1545387436.752 * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # 1545387436.752 * * * * [misc]progress: [ 21 / 39 ] simplifiying candidate # 1545387436.752 * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # 1545387436.752 * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # 1545387436.752 * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # 1545387436.752 * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # 1545387436.752 * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # 1545387436.752 * * * * [misc]progress: [ 27 / 39 ] simplifiying candidate # 1545387436.752 * * * * [misc]progress: [ 28 / 39 ] simplifiying candidate # 1545387436.752 * * * * [misc]progress: [ 29 / 39 ] simplifiying candidate # 1545387436.753 * [enter]simplify: Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1545387436.753 * * [misc]simplify: iters left: 5 (5 enodes) 1545387436.754 * * [misc]simplify: iters left: 4 (8 enodes) 1545387436.756 * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1545387436.756 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ N (cbrt (+ 1 N)))))) 1545387436.756 * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # 1545387436.757 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1545387436.757 * * [misc]simplify: iters left: 3 (4 enodes) 1545387436.758 * * [misc]simplify: iters left: 2 (7 enodes) 1545387436.760 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1545387436.760 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ N 1)) (/ N (sqrt (+ 1 N)))))) 1545387436.760 * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # 1545387436.760 * * * * [misc]progress: [ 32 / 39 ] simplifiying candidate # 1545387436.760 * [enter]simplify: Simplifying (+ (pow 1 3) (pow N 3)) 1545387436.760 * * [misc]simplify: iters left: 3 (6 enodes) 1545387436.763 * * [misc]simplify: iters left: 2 (14 enodes) 1545387436.766 * * [misc]simplify: iters left: 1 (16 enodes) 1545387436.769 * [exit]simplify: Simplified to (fma (* N N) N 1) 1545387436.770 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (fma (* N N) N 1) (* N (+ (* 1 1) (- (* N N) (* 1 N))))))) 1545387436.770 * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # 1545387436.770 * [enter]simplify: Simplifying (- (* 1 1) (* N N)) 1545387436.770 * * [misc]simplify: iters left: 4 (5 enodes) 1545387436.772 * * [misc]simplify: iters left: 3 (10 enodes) 1545387436.774 * * [misc]simplify: iters left: 2 (14 enodes) 1545387436.778 * * [misc]simplify: iters left: 1 (16 enodes) 1545387436.781 * [exit]simplify: Simplified to (- 1 (* N N)) 1545387436.781 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (- 1 (* N N)) (* N (- 1 N))))) 1545387436.781 * * * * [misc]progress: [ 34 / 39 ] simplifiying candidate # 1545387436.782 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1545387436.782 * * [misc]simplify: iters left: 6 (8 enodes) 1545387436.784 * * [misc]simplify: iters left: 5 (15 enodes) 1545387436.789 * * [misc]simplify: iters left: 4 (29 enodes) 1545387436.800 * * [misc]simplify: iters left: 3 (55 enodes) 1545387436.819 * * [misc]simplify: iters left: 2 (104 enodes) 1545387436.848 * * [misc]simplify: iters left: 1 (143 enodes) 1545387436.888 * [exit]simplify: Simplified to (fma (* N -1/2) N (- N (log N))) 1545387436.888 * [misc]simplify: Simplified (2) to (λ (N) (fma (* N -1/2) N (- N (log N)))) 1545387436.888 * * * * [misc]progress: [ 35 / 39 ] simplifiying candidate # 1545387436.888 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545387436.888 * * [misc]simplify: iters left: 6 (15 enodes) 1545387436.893 * * [misc]simplify: iters left: 5 (32 enodes) 1545387436.902 * * [misc]simplify: iters left: 4 (61 enodes) 1545387436.914 * * [misc]simplify: iters left: 3 (103 enodes) 1545387436.952 * * [misc]simplify: iters left: 2 (168 enodes) 1545387436.991 * * [misc]simplify: iters left: 1 (248 enodes) 1545387437.063 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1545387437.063 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545387437.063 * * * * [misc]progress: [ 36 / 39 ] simplifiying candidate # 1545387437.063 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545387437.064 * * [misc]simplify: iters left: 6 (15 enodes) 1545387437.068 * * [misc]simplify: iters left: 5 (32 enodes) 1545387437.075 * * [misc]simplify: iters left: 4 (61 enodes) 1545387437.094 * * [misc]simplify: iters left: 3 (103 enodes) 1545387437.124 * * [misc]simplify: iters left: 2 (168 enodes) 1545387437.156 * * [misc]simplify: iters left: 1 (248 enodes) 1545387437.270 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1545387437.270 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545387437.270 * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # 1545387437.270 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1545387437.270 * * [misc]simplify: iters left: 4 (4 enodes) 1545387437.272 * * [misc]simplify: iters left: 3 (7 enodes) 1545387437.273 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1545387437.273 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1545387437.273 * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # 1545387437.274 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1545387437.274 * * [misc]simplify: iters left: 4 (4 enodes) 1545387437.275 * * [misc]simplify: iters left: 3 (7 enodes) 1545387437.277 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1545387437.277 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1545387437.277 * * * * [misc]progress: [ 39 / 39 ] simplifiying candidate # 1545387437.277 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1545387437.277 * * [misc]simplify: iters left: 4 (4 enodes) 1545387437.279 * * [misc]simplify: iters left: 3 (7 enodes) 1545387437.280 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1545387437.280 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1545387437.280 * * * [misc]progress: adding candidates to table 1545387437.587 * * [misc]progress: iteration 3 / 4 1545387437.587 * * * [misc]progress: picking best candidate 1545387437.594 * * * * [misc]pick: Picked # 1545387437.594 * * * [misc]progress: localizing error 1545387437.603 * * * [misc]progress: generating rewritten candidates 1545387437.603 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1545387437.604 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1545387437.605 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) 1545387437.606 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1545387437.609 * * * [misc]progress: generating series expansions 1545387437.609 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1545387437.609 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1545387437.609 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1545387437.609 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545387437.609 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545387437.609 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387437.609 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387437.609 * [misc]taylor: Taking taylor expansion of N in N 1545387437.609 * [misc]backup-simplify: Simplify 0 into 0 1545387437.609 * [misc]backup-simplify: Simplify 1 into 1 1545387437.609 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.609 * [misc]backup-simplify: Simplify 1 into 1 1545387437.610 * [misc]taylor: Taking taylor expansion of N in N 1545387437.610 * [misc]backup-simplify: Simplify 0 into 0 1545387437.610 * [misc]backup-simplify: Simplify 1 into 1 1545387437.610 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387437.610 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.610 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545387437.611 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545387437.611 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387437.611 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545387437.611 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545387437.611 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387437.611 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387437.611 * [misc]taylor: Taking taylor expansion of N in N 1545387437.611 * [misc]backup-simplify: Simplify 0 into 0 1545387437.611 * [misc]backup-simplify: Simplify 1 into 1 1545387437.611 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.611 * [misc]backup-simplify: Simplify 1 into 1 1545387437.611 * [misc]taylor: Taking taylor expansion of N in N 1545387437.611 * [misc]backup-simplify: Simplify 0 into 0 1545387437.611 * [misc]backup-simplify: Simplify 1 into 1 1545387437.611 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387437.611 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.611 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545387437.612 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545387437.612 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387437.612 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387437.612 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.612 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545387437.613 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545387437.614 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1545387437.615 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387437.615 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.615 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545387437.616 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545387437.618 * [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 1545387437.618 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387437.618 * [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))))) 1545387437.618 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1545387437.618 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1545387437.618 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545387437.618 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545387437.618 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387437.618 * [misc]taylor: Taking taylor expansion of N in N 1545387437.618 * [misc]backup-simplify: Simplify 0 into 0 1545387437.618 * [misc]backup-simplify: Simplify 1 into 1 1545387437.618 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387437.618 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387437.618 * [misc]taylor: Taking taylor expansion of N in N 1545387437.618 * [misc]backup-simplify: Simplify 0 into 0 1545387437.618 * [misc]backup-simplify: Simplify 1 into 1 1545387437.619 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.619 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.619 * [misc]backup-simplify: Simplify 1 into 1 1545387437.619 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.619 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387437.619 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387437.619 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387437.619 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387437.619 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387437.619 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.620 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.620 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387437.620 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545387437.620 * [misc]backup-simplify: Simplify (log 1) into 0 1545387437.620 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545387437.620 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545387437.620 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387437.620 * [misc]taylor: Taking taylor expansion of N in N 1545387437.620 * [misc]backup-simplify: Simplify 0 into 0 1545387437.620 * [misc]backup-simplify: Simplify 1 into 1 1545387437.620 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387437.620 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387437.620 * [misc]taylor: Taking taylor expansion of N in N 1545387437.620 * [misc]backup-simplify: Simplify 0 into 0 1545387437.620 * [misc]backup-simplify: Simplify 1 into 1 1545387437.620 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.620 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.620 * [misc]backup-simplify: Simplify 1 into 1 1545387437.620 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.620 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387437.621 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387437.621 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387437.621 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387437.621 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387437.622 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.622 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.623 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387437.623 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545387437.623 * [misc]backup-simplify: Simplify (log 1) into 0 1545387437.623 * [misc]backup-simplify: Simplify 0 into 0 1545387437.625 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1545387437.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545387437.625 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.625 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.625 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545387437.626 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1545387437.628 * [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 1545387437.628 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545387437.629 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.629 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.629 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545387437.629 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1545387437.633 * [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 1545387437.633 * [misc]backup-simplify: Simplify 1/6 into 1/6 1545387437.633 * [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)))) 1545387437.633 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1545387437.633 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1545387437.633 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545387437.634 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545387437.634 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387437.634 * [misc]taylor: Taking taylor expansion of -1 in N 1545387437.634 * [misc]backup-simplify: Simplify -1 into -1 1545387437.634 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387437.634 * [misc]taylor: Taking taylor expansion of N in N 1545387437.634 * [misc]backup-simplify: Simplify 0 into 0 1545387437.634 * [misc]backup-simplify: Simplify 1 into 1 1545387437.634 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387437.634 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.634 * [misc]backup-simplify: Simplify 1 into 1 1545387437.634 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387437.634 * [misc]taylor: Taking taylor expansion of N in N 1545387437.634 * [misc]backup-simplify: Simplify 0 into 0 1545387437.634 * [misc]backup-simplify: Simplify 1 into 1 1545387437.634 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.634 * [misc]backup-simplify: Simplify (- 1) into -1 1545387437.634 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387437.634 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387437.634 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387437.634 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387437.634 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.635 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.635 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387437.635 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387437.635 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387437.635 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.635 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.635 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.635 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387437.636 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387437.636 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545387437.636 * [misc]backup-simplify: Simplify (log 1) into 0 1545387437.636 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545387437.636 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545387437.636 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387437.636 * [misc]taylor: Taking taylor expansion of -1 in N 1545387437.636 * [misc]backup-simplify: Simplify -1 into -1 1545387437.636 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387437.636 * [misc]taylor: Taking taylor expansion of N in N 1545387437.636 * [misc]backup-simplify: Simplify 0 into 0 1545387437.636 * [misc]backup-simplify: Simplify 1 into 1 1545387437.636 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387437.636 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.636 * [misc]backup-simplify: Simplify 1 into 1 1545387437.636 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387437.636 * [misc]taylor: Taking taylor expansion of N in N 1545387437.636 * [misc]backup-simplify: Simplify 0 into 0 1545387437.636 * [misc]backup-simplify: Simplify 1 into 1 1545387437.636 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.636 * [misc]backup-simplify: Simplify (- 1) into -1 1545387437.636 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387437.637 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387437.637 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387437.637 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387437.637 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.637 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.637 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387437.637 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387437.637 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387437.637 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.638 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.638 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.638 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387437.638 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387437.638 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545387437.638 * [misc]backup-simplify: Simplify (log 1) into 0 1545387437.638 * [misc]backup-simplify: Simplify 0 into 0 1545387437.640 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1545387437.640 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545387437.640 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.640 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.640 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.641 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545387437.641 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545387437.642 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545387437.644 * [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 1545387437.644 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545387437.644 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.644 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.645 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.645 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545387437.645 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545387437.645 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1545387437.649 * [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 1545387437.649 * [misc]backup-simplify: Simplify -1/6 into -1/6 1545387437.649 * [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)))) 1545387437.649 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1545387437.649 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1545387437.649 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1545387437.650 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545387437.650 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545387437.650 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387437.650 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387437.650 * [misc]taylor: Taking taylor expansion of N in N 1545387437.650 * [misc]backup-simplify: Simplify 0 into 0 1545387437.650 * [misc]backup-simplify: Simplify 1 into 1 1545387437.650 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.650 * [misc]backup-simplify: Simplify 1 into 1 1545387437.650 * [misc]taylor: Taking taylor expansion of N in N 1545387437.650 * [misc]backup-simplify: Simplify 0 into 0 1545387437.650 * [misc]backup-simplify: Simplify 1 into 1 1545387437.650 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387437.650 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.650 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545387437.650 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545387437.650 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387437.651 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545387437.651 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545387437.651 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387437.651 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387437.651 * [misc]taylor: Taking taylor expansion of N in N 1545387437.651 * [misc]backup-simplify: Simplify 0 into 0 1545387437.651 * [misc]backup-simplify: Simplify 1 into 1 1545387437.651 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.651 * [misc]backup-simplify: Simplify 1 into 1 1545387437.651 * [misc]taylor: Taking taylor expansion of N in N 1545387437.651 * [misc]backup-simplify: Simplify 0 into 0 1545387437.651 * [misc]backup-simplify: Simplify 1 into 1 1545387437.651 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387437.651 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.651 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545387437.651 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545387437.651 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387437.652 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387437.652 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.652 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545387437.653 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545387437.656 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1545387437.656 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387437.656 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.656 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545387437.657 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545387437.661 * [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 1545387437.661 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387437.662 * [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))))) 1545387437.662 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1545387437.662 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1545387437.662 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545387437.662 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545387437.662 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387437.662 * [misc]taylor: Taking taylor expansion of N in N 1545387437.662 * [misc]backup-simplify: Simplify 0 into 0 1545387437.662 * [misc]backup-simplify: Simplify 1 into 1 1545387437.662 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387437.662 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387437.662 * [misc]taylor: Taking taylor expansion of N in N 1545387437.662 * [misc]backup-simplify: Simplify 0 into 0 1545387437.662 * [misc]backup-simplify: Simplify 1 into 1 1545387437.662 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.662 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.662 * [misc]backup-simplify: Simplify 1 into 1 1545387437.663 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.663 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387437.663 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387437.663 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387437.663 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387437.664 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387437.664 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.664 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.664 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387437.664 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545387437.665 * [misc]backup-simplify: Simplify (log 1) into 0 1545387437.665 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545387437.665 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545387437.665 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387437.665 * [misc]taylor: Taking taylor expansion of N in N 1545387437.665 * [misc]backup-simplify: Simplify 0 into 0 1545387437.665 * [misc]backup-simplify: Simplify 1 into 1 1545387437.665 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387437.665 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387437.665 * [misc]taylor: Taking taylor expansion of N in N 1545387437.665 * [misc]backup-simplify: Simplify 0 into 0 1545387437.665 * [misc]backup-simplify: Simplify 1 into 1 1545387437.665 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.665 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.665 * [misc]backup-simplify: Simplify 1 into 1 1545387437.665 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.665 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387437.666 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387437.666 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387437.666 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387437.666 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387437.666 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.667 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.667 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387437.667 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545387437.667 * [misc]backup-simplify: Simplify (log 1) into 0 1545387437.667 * [misc]backup-simplify: Simplify 0 into 0 1545387437.670 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1545387437.670 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545387437.670 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.670 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.671 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545387437.672 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1545387437.677 * [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 1545387437.677 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545387437.677 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.677 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.678 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545387437.678 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1545387437.682 * [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 1545387437.682 * [misc]backup-simplify: Simplify 1/6 into 1/6 1545387437.683 * [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)))) 1545387437.683 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1545387437.683 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1545387437.683 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545387437.683 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545387437.683 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387437.683 * [misc]taylor: Taking taylor expansion of -1 in N 1545387437.683 * [misc]backup-simplify: Simplify -1 into -1 1545387437.683 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387437.683 * [misc]taylor: Taking taylor expansion of N in N 1545387437.683 * [misc]backup-simplify: Simplify 0 into 0 1545387437.683 * [misc]backup-simplify: Simplify 1 into 1 1545387437.683 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387437.683 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.683 * [misc]backup-simplify: Simplify 1 into 1 1545387437.683 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387437.683 * [misc]taylor: Taking taylor expansion of N in N 1545387437.683 * [misc]backup-simplify: Simplify 0 into 0 1545387437.683 * [misc]backup-simplify: Simplify 1 into 1 1545387437.683 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.683 * [misc]backup-simplify: Simplify (- 1) into -1 1545387437.683 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387437.684 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387437.684 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387437.684 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387437.684 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.684 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.684 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387437.684 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387437.684 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387437.685 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.685 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.685 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.685 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387437.685 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387437.685 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545387437.685 * [misc]backup-simplify: Simplify (log 1) into 0 1545387437.685 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545387437.685 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545387437.685 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387437.685 * [misc]taylor: Taking taylor expansion of -1 in N 1545387437.685 * [misc]backup-simplify: Simplify -1 into -1 1545387437.685 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387437.685 * [misc]taylor: Taking taylor expansion of N in N 1545387437.685 * [misc]backup-simplify: Simplify 0 into 0 1545387437.685 * [misc]backup-simplify: Simplify 1 into 1 1545387437.685 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387437.685 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.685 * [misc]backup-simplify: Simplify 1 into 1 1545387437.686 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387437.686 * [misc]taylor: Taking taylor expansion of N in N 1545387437.686 * [misc]backup-simplify: Simplify 0 into 0 1545387437.686 * [misc]backup-simplify: Simplify 1 into 1 1545387437.686 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.686 * [misc]backup-simplify: Simplify (- 1) into -1 1545387437.686 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387437.686 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387437.686 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387437.686 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387437.686 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.686 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.687 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387437.687 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387437.687 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387437.687 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.687 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.687 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.687 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387437.687 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387437.688 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545387437.688 * [misc]backup-simplify: Simplify (log 1) into 0 1545387437.688 * [misc]backup-simplify: Simplify 0 into 0 1545387437.689 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1545387437.689 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545387437.690 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.690 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.690 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.690 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545387437.690 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545387437.691 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545387437.693 * [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 1545387437.693 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545387437.694 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.694 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.694 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.694 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545387437.694 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545387437.695 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1545387437.698 * [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 1545387437.698 * [misc]backup-simplify: Simplify -1/6 into -1/6 1545387437.699 * [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)))) 1545387437.699 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) 1545387437.699 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 N) N)) into (sqrt (/ (+ N 1) N)) 1545387437.699 * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 1545387437.699 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545387437.699 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387437.699 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387437.699 * [misc]taylor: Taking taylor expansion of N in N 1545387437.699 * [misc]backup-simplify: Simplify 0 into 0 1545387437.699 * [misc]backup-simplify: Simplify 1 into 1 1545387437.699 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.699 * [misc]backup-simplify: Simplify 1 into 1 1545387437.699 * [misc]taylor: Taking taylor expansion of N in N 1545387437.699 * [misc]backup-simplify: Simplify 0 into 0 1545387437.699 * [misc]backup-simplify: Simplify 1 into 1 1545387437.699 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387437.699 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.699 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545387437.700 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545387437.700 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545387437.700 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387437.700 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387437.700 * [misc]taylor: Taking taylor expansion of N in N 1545387437.700 * [misc]backup-simplify: Simplify 0 into 0 1545387437.700 * [misc]backup-simplify: Simplify 1 into 1 1545387437.700 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.700 * [misc]backup-simplify: Simplify 1 into 1 1545387437.700 * [misc]taylor: Taking taylor expansion of N in N 1545387437.700 * [misc]backup-simplify: Simplify 0 into 0 1545387437.700 * [misc]backup-simplify: Simplify 1 into 1 1545387437.700 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387437.700 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.700 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545387437.700 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545387437.701 * [misc]backup-simplify: Simplify 0 into 0 1545387437.701 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387437.701 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.701 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545387437.701 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545387437.702 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387437.702 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.702 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545387437.703 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545387437.703 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387437.703 * [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))))) 1545387437.703 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 1545387437.703 * [misc]approximate: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 1545387437.703 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545387437.703 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387437.703 * [misc]taylor: Taking taylor expansion of N in N 1545387437.703 * [misc]backup-simplify: Simplify 0 into 0 1545387437.703 * [misc]backup-simplify: Simplify 1 into 1 1545387437.703 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387437.703 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387437.703 * [misc]taylor: Taking taylor expansion of N in N 1545387437.703 * [misc]backup-simplify: Simplify 0 into 0 1545387437.703 * [misc]backup-simplify: Simplify 1 into 1 1545387437.703 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.703 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.703 * [misc]backup-simplify: Simplify 1 into 1 1545387437.703 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.703 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387437.704 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387437.704 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387437.704 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387437.704 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387437.704 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.704 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.704 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387437.705 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545387437.705 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545387437.705 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387437.705 * [misc]taylor: Taking taylor expansion of N in N 1545387437.705 * [misc]backup-simplify: Simplify 0 into 0 1545387437.705 * [misc]backup-simplify: Simplify 1 into 1 1545387437.705 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387437.705 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387437.705 * [misc]taylor: Taking taylor expansion of N in N 1545387437.705 * [misc]backup-simplify: Simplify 0 into 0 1545387437.705 * [misc]backup-simplify: Simplify 1 into 1 1545387437.705 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.705 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.705 * [misc]backup-simplify: Simplify 1 into 1 1545387437.705 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.705 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387437.705 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387437.705 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387437.705 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387437.705 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387437.706 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.706 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.706 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387437.706 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545387437.706 * [misc]backup-simplify: Simplify 1 into 1 1545387437.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545387437.706 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.707 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.707 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545387437.707 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1545387437.707 * [misc]backup-simplify: Simplify -1/8 into -1/8 1545387437.708 * [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)))) 1545387437.708 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 1545387437.708 * [misc]approximate: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1545387437.708 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545387437.708 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387437.708 * [misc]taylor: Taking taylor expansion of -1 in N 1545387437.708 * [misc]backup-simplify: Simplify -1 into -1 1545387437.708 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387437.708 * [misc]taylor: Taking taylor expansion of N in N 1545387437.708 * [misc]backup-simplify: Simplify 0 into 0 1545387437.708 * [misc]backup-simplify: Simplify 1 into 1 1545387437.708 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387437.708 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.708 * [misc]backup-simplify: Simplify 1 into 1 1545387437.708 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387437.708 * [misc]taylor: Taking taylor expansion of N in N 1545387437.708 * [misc]backup-simplify: Simplify 0 into 0 1545387437.708 * [misc]backup-simplify: Simplify 1 into 1 1545387437.708 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.708 * [misc]backup-simplify: Simplify (- 1) into -1 1545387437.708 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387437.708 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387437.708 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387437.709 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387437.709 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.709 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.709 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387437.709 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387437.709 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387437.709 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.709 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.710 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.710 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387437.710 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387437.710 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545387437.710 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545387437.710 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387437.710 * [misc]taylor: Taking taylor expansion of -1 in N 1545387437.710 * [misc]backup-simplify: Simplify -1 into -1 1545387437.710 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387437.710 * [misc]taylor: Taking taylor expansion of N in N 1545387437.710 * [misc]backup-simplify: Simplify 0 into 0 1545387437.710 * [misc]backup-simplify: Simplify 1 into 1 1545387437.710 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387437.710 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.710 * [misc]backup-simplify: Simplify 1 into 1 1545387437.710 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387437.710 * [misc]taylor: Taking taylor expansion of N in N 1545387437.710 * [misc]backup-simplify: Simplify 0 into 0 1545387437.710 * [misc]backup-simplify: Simplify 1 into 1 1545387437.710 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.710 * [misc]backup-simplify: Simplify (- 1) into -1 1545387437.711 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387437.711 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387437.711 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387437.711 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387437.711 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.711 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.711 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387437.711 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387437.712 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387437.712 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.712 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.712 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.712 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387437.713 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387437.713 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545387437.713 * [misc]backup-simplify: Simplify 1 into 1 1545387437.713 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545387437.713 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.714 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.714 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.714 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545387437.714 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545387437.715 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545387437.715 * [misc]backup-simplify: Simplify -1/8 into -1/8 1545387437.716 * [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)))) 1545387437.716 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1545387437.716 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 N) N)) into (sqrt (/ (+ N 1) N)) 1545387437.716 * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 1545387437.716 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545387437.716 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387437.716 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387437.716 * [misc]taylor: Taking taylor expansion of N in N 1545387437.716 * [misc]backup-simplify: Simplify 0 into 0 1545387437.716 * [misc]backup-simplify: Simplify 1 into 1 1545387437.716 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.716 * [misc]backup-simplify: Simplify 1 into 1 1545387437.716 * [misc]taylor: Taking taylor expansion of N in N 1545387437.716 * [misc]backup-simplify: Simplify 0 into 0 1545387437.716 * [misc]backup-simplify: Simplify 1 into 1 1545387437.716 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387437.717 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.717 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545387437.717 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545387437.717 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545387437.717 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387437.717 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387437.717 * [misc]taylor: Taking taylor expansion of N in N 1545387437.717 * [misc]backup-simplify: Simplify 0 into 0 1545387437.717 * [misc]backup-simplify: Simplify 1 into 1 1545387437.718 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.718 * [misc]backup-simplify: Simplify 1 into 1 1545387437.718 * [misc]taylor: Taking taylor expansion of N in N 1545387437.718 * [misc]backup-simplify: Simplify 0 into 0 1545387437.718 * [misc]backup-simplify: Simplify 1 into 1 1545387437.718 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387437.718 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.718 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545387437.719 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545387437.719 * [misc]backup-simplify: Simplify 0 into 0 1545387437.719 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387437.719 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.719 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545387437.722 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545387437.722 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387437.722 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.722 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545387437.724 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545387437.724 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387437.724 * [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))))) 1545387437.724 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 1545387437.724 * [misc]approximate: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 1545387437.724 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545387437.724 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387437.724 * [misc]taylor: Taking taylor expansion of N in N 1545387437.724 * [misc]backup-simplify: Simplify 0 into 0 1545387437.724 * [misc]backup-simplify: Simplify 1 into 1 1545387437.724 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387437.724 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387437.724 * [misc]taylor: Taking taylor expansion of N in N 1545387437.724 * [misc]backup-simplify: Simplify 0 into 0 1545387437.724 * [misc]backup-simplify: Simplify 1 into 1 1545387437.725 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.725 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.725 * [misc]backup-simplify: Simplify 1 into 1 1545387437.725 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.725 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387437.726 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387437.726 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387437.726 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387437.726 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387437.726 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.727 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.727 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387437.727 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545387437.727 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545387437.727 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387437.727 * [misc]taylor: Taking taylor expansion of N in N 1545387437.727 * [misc]backup-simplify: Simplify 0 into 0 1545387437.727 * [misc]backup-simplify: Simplify 1 into 1 1545387437.727 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387437.727 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387437.727 * [misc]taylor: Taking taylor expansion of N in N 1545387437.727 * [misc]backup-simplify: Simplify 0 into 0 1545387437.727 * [misc]backup-simplify: Simplify 1 into 1 1545387437.728 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.728 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.728 * [misc]backup-simplify: Simplify 1 into 1 1545387437.728 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.728 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387437.728 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387437.728 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387437.728 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387437.729 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387437.729 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.729 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.729 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387437.730 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545387437.730 * [misc]backup-simplify: Simplify 1 into 1 1545387437.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545387437.730 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.730 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.731 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545387437.732 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1545387437.732 * [misc]backup-simplify: Simplify -1/8 into -1/8 1545387437.732 * [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)))) 1545387437.732 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 1545387437.732 * [misc]approximate: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1545387437.732 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545387437.732 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387437.733 * [misc]taylor: Taking taylor expansion of -1 in N 1545387437.733 * [misc]backup-simplify: Simplify -1 into -1 1545387437.733 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387437.733 * [misc]taylor: Taking taylor expansion of N in N 1545387437.733 * [misc]backup-simplify: Simplify 0 into 0 1545387437.733 * [misc]backup-simplify: Simplify 1 into 1 1545387437.733 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387437.733 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.733 * [misc]backup-simplify: Simplify 1 into 1 1545387437.733 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387437.733 * [misc]taylor: Taking taylor expansion of N in N 1545387437.733 * [misc]backup-simplify: Simplify 0 into 0 1545387437.733 * [misc]backup-simplify: Simplify 1 into 1 1545387437.733 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.733 * [misc]backup-simplify: Simplify (- 1) into -1 1545387437.733 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387437.733 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387437.734 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387437.734 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387437.734 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.734 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.734 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387437.735 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387437.735 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387437.735 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.735 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.735 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.736 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387437.736 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387437.736 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545387437.736 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545387437.736 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387437.736 * [misc]taylor: Taking taylor expansion of -1 in N 1545387437.736 * [misc]backup-simplify: Simplify -1 into -1 1545387437.736 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387437.736 * [misc]taylor: Taking taylor expansion of N in N 1545387437.736 * [misc]backup-simplify: Simplify 0 into 0 1545387437.736 * [misc]backup-simplify: Simplify 1 into 1 1545387437.736 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387437.736 * [misc]taylor: Taking taylor expansion of 1 in N 1545387437.736 * [misc]backup-simplify: Simplify 1 into 1 1545387437.736 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387437.736 * [misc]taylor: Taking taylor expansion of N in N 1545387437.736 * [misc]backup-simplify: Simplify 0 into 0 1545387437.736 * [misc]backup-simplify: Simplify 1 into 1 1545387437.737 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387437.737 * [misc]backup-simplify: Simplify (- 1) into -1 1545387437.737 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387437.737 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387437.737 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387437.737 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387437.738 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.738 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387437.738 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387437.738 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387437.738 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387437.739 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.739 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.739 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.739 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387437.739 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387437.740 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545387437.740 * [misc]backup-simplify: Simplify 1 into 1 1545387437.740 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545387437.740 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387437.740 * [misc]backup-simplify: Simplify (- 0) into 0 1545387437.740 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387437.741 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545387437.741 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545387437.742 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545387437.742 * [misc]backup-simplify: Simplify -1/8 into -1/8 1545387437.743 * [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)))) 1545387437.743 * * * [misc]progress: simplifying candidates 1545387437.743 * * * * [misc]progress: [ 1 / 84 ] simplifiying candidate # 1545387437.743 * * * * [misc]progress: [ 2 / 84 ] simplifiying candidate # 1545387437.743 * * * * [misc]progress: [ 3 / 84 ] simplifiying candidate # 1545387437.743 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1545387437.743 * * [misc]simplify: iters left: 6 (8 enodes) 1545387437.746 * * [misc]simplify: iters left: 5 (13 enodes) 1545387437.750 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1545387437.750 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N))))))) 1545387437.750 * * * * [misc]progress: [ 4 / 84 ] simplifiying candidate # 1545387437.750 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1545387437.750 * * [misc]simplify: iters left: 6 (8 enodes) 1545387437.753 * * [misc]simplify: iters left: 5 (12 enodes) 1545387437.756 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1545387437.756 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N))))))) 1545387437.756 * * * * [misc]progress: [ 5 / 84 ] simplifiying candidate # 1545387437.756 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545387437.756 * * [misc]simplify: iters left: 6 (7 enodes) 1545387437.757 * * [misc]simplify: iters left: 5 (10 enodes) 1545387437.758 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545387437.758 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) 1545387437.758 * * * * [misc]progress: [ 6 / 84 ] simplifiying candidate # 1545387437.758 * [enter]simplify: Simplifying (log (sqrt 1)) 1545387437.758 * * [misc]simplify: iters left: 2 (3 enodes) 1545387437.760 * * [misc]simplify: iters left: 1 (5 enodes) 1545387437.760 * [exit]simplify: Simplified to 0 1545387437.760 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ 0 (log (sqrt (/ (+ 1 N) N)))))) 1545387437.760 * * * * [misc]progress: [ 7 / 84 ] simplifiying candidate # 1545387437.760 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545387437.760 * * [misc]simplify: iters left: 4 (5 enodes) 1545387437.761 * * [misc]simplify: iters left: 3 (8 enodes) 1545387437.762 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545387437.762 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))))) 1545387437.762 * * * * [misc]progress: [ 8 / 84 ] simplifiying candidate # 1545387437.762 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545387437.762 * * [misc]simplify: iters left: 6 (7 enodes) 1545387437.763 * * [misc]simplify: iters left: 5 (10 enodes) 1545387437.765 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545387437.765 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) 1545387437.765 * * * * [misc]progress: [ 9 / 84 ] simplifiying candidate # 1545387437.765 * [enter]simplify: Simplifying (log 1) 1545387437.765 * * [misc]simplify: iters left: 1 (2 enodes) 1545387437.766 * [exit]simplify: Simplified to 0 1545387437.766 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ 0 (log (sqrt (/ (+ 1 N) N)))))) 1545387437.766 * * * * [misc]progress: [ 10 / 84 ] simplifiying candidate # 1545387437.766 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545387437.766 * * [misc]simplify: iters left: 4 (5 enodes) 1545387437.767 * * [misc]simplify: iters left: 3 (8 enodes) 1545387437.768 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545387437.768 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (- (log (sqrt (+ N 1))) (log (sqrt N))))) 1545387437.768 * * * * [misc]progress: [ 11 / 84 ] simplifiying candidate # 1545387437.768 * * * * [misc]progress: [ 12 / 84 ] simplifiying candidate # 1545387437.768 * * * * [misc]progress: [ 13 / 84 ] simplifiying candidate # 1545387437.768 * * * * [misc]progress: [ 14 / 84 ] simplifiying candidate # 1545387437.768 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1545387437.768 * * [misc]simplify: iters left: 5 (5 enodes) 1545387437.769 * * [misc]simplify: iters left: 4 (8 enodes) 1545387437.770 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1545387437.770 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) 1545387437.770 * * * * [misc]progress: [ 15 / 84 ] simplifiying candidate # 1545387437.770 * * * * [misc]progress: [ 16 / 84 ] simplifiying candidate # 1545387437.770 * * * * [misc]progress: [ 17 / 84 ] simplifiying candidate # 1545387437.770 * * * * [misc]progress: [ 18 / 84 ] simplifiying candidate # 1545387437.770 * * * * [misc]progress: [ 19 / 84 ] simplifiying candidate # 1545387437.770 * * * * [misc]progress: [ 20 / 84 ] simplifiying candidate # 1545387437.770 * * * * [misc]progress: [ 21 / 84 ] simplifiying candidate # 1545387437.770 * * * * [misc]progress: [ 22 / 84 ] simplifiying candidate # 1545387437.770 * * * * [misc]progress: [ 23 / 84 ] simplifiying candidate # 1545387437.770 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1545387437.770 * * [misc]simplify: iters left: 6 (8 enodes) 1545387437.772 * * [misc]simplify: iters left: 5 (13 enodes) 1545387437.773 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1545387437.773 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387437.773 * * * * [misc]progress: [ 24 / 84 ] simplifiying candidate # 1545387437.773 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1545387437.774 * * [misc]simplify: iters left: 6 (8 enodes) 1545387437.775 * * [misc]simplify: iters left: 5 (12 enodes) 1545387437.776 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1545387437.776 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387437.776 * * * * [misc]progress: [ 25 / 84 ] simplifiying candidate # 1545387437.776 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545387437.776 * * [misc]simplify: iters left: 6 (7 enodes) 1545387437.777 * * [misc]simplify: iters left: 5 (10 enodes) 1545387437.779 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545387437.779 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387437.779 * * * * [misc]progress: [ 26 / 84 ] simplifiying candidate # 1545387437.779 * [enter]simplify: Simplifying (log (sqrt 1)) 1545387437.779 * * [misc]simplify: iters left: 2 (3 enodes) 1545387437.780 * * [misc]simplify: iters left: 1 (5 enodes) 1545387437.780 * [exit]simplify: Simplified to 0 1545387437.781 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N))))) 1545387437.781 * * * * [misc]progress: [ 27 / 84 ] simplifiying candidate # 1545387437.781 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545387437.781 * * [misc]simplify: iters left: 4 (5 enodes) 1545387437.781 * * [misc]simplify: iters left: 3 (8 enodes) 1545387437.782 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545387437.782 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))) (log (sqrt (/ (+ 1 N) N))))) 1545387437.782 * * * * [misc]progress: [ 28 / 84 ] simplifiying candidate # 1545387437.783 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545387437.783 * * [misc]simplify: iters left: 6 (7 enodes) 1545387437.784 * * [misc]simplify: iters left: 5 (10 enodes) 1545387437.787 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545387437.787 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387437.787 * * * * [misc]progress: [ 29 / 84 ] simplifiying candidate # 1545387437.787 * [enter]simplify: Simplifying (log 1) 1545387437.787 * * [misc]simplify: iters left: 1 (2 enodes) 1545387437.789 * [exit]simplify: Simplified to 0 1545387437.789 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N))))) 1545387437.789 * * * * [misc]progress: [ 30 / 84 ] simplifiying candidate # 1545387437.789 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545387437.789 * * [misc]simplify: iters left: 4 (5 enodes) 1545387437.790 * * [misc]simplify: iters left: 3 (8 enodes) 1545387437.792 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545387437.792 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (- (log (sqrt (+ N 1))) (log (sqrt N))) (log (sqrt (/ (+ 1 N) N))))) 1545387437.792 * * * * [misc]progress: [ 31 / 84 ] simplifiying candidate # 1545387437.792 * * * * [misc]progress: [ 32 / 84 ] simplifiying candidate # 1545387437.792 * * * * [misc]progress: [ 33 / 84 ] simplifiying candidate # 1545387437.793 * * * * [misc]progress: [ 34 / 84 ] simplifiying candidate # 1545387437.793 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1545387437.793 * * [misc]simplify: iters left: 5 (5 enodes) 1545387437.794 * * [misc]simplify: iters left: 4 (8 enodes) 1545387437.796 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1545387437.796 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 1545387437.796 * * * * [misc]progress: [ 35 / 84 ] simplifiying candidate # 1545387437.796 * * * * [misc]progress: [ 36 / 84 ] simplifiying candidate # 1545387437.796 * * * * [misc]progress: [ 37 / 84 ] simplifiying candidate # 1545387437.796 * * * * [misc]progress: [ 38 / 84 ] simplifiying candidate # 1545387437.797 * * * * [misc]progress: [ 39 / 84 ] simplifiying candidate # 1545387437.797 * * * * [misc]progress: [ 40 / 84 ] simplifiying candidate # 1545387437.797 * * * * [misc]progress: [ 41 / 84 ] simplifiying candidate # 1545387437.797 * * * * [misc]progress: [ 42 / 84 ] simplifiying candidate # 1545387437.797 * * * * [misc]progress: [ 43 / 84 ] simplifiying candidate # 1545387437.797 * * * * [misc]progress: [ 44 / 84 ] simplifiying candidate # 1545387437.797 * * * * [misc]progress: [ 45 / 84 ] simplifiying candidate # 1545387437.797 * * * * [misc]progress: [ 46 / 84 ] simplifiying candidate # 1545387437.797 * * * * [misc]progress: [ 47 / 84 ] simplifiying candidate # 1545387437.797 * * * * [misc]progress: [ 48 / 84 ] simplifiying candidate # 1545387437.797 * * * * [misc]progress: [ 49 / 84 ] simplifiying candidate # 1545387437.797 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1545387437.797 * * [misc]simplify: iters left: 6 (7 enodes) 1545387437.799 * * [misc]simplify: iters left: 5 (11 enodes) 1545387437.801 * [exit]simplify: Simplified to (fabs (cbrt (/ (+ N 1) N))) 1545387437.801 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (* (fabs (cbrt (/ (+ N 1) N))) (sqrt (cbrt (/ (+ 1 N) N))))))) 1545387437.801 * * * * [misc]progress: [ 50 / 84 ] simplifiying candidate # 1545387437.801 * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 N) N))) 1545387437.801 * * [misc]simplify: iters left: 6 (6 enodes) 1545387437.802 * * [misc]simplify: iters left: 5 (9 enodes) 1545387437.803 * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ N 1) N))) 1545387437.803 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (* (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ 1 N) N))))))) 1545387437.803 * * * * [misc]progress: [ 51 / 84 ] simplifiying candidate # 1545387437.803 * [enter]simplify: Simplifying (sqrt 1) 1545387437.803 * * [misc]simplify: iters left: 1 (2 enodes) 1545387437.804 * [exit]simplify: Simplified to 1 1545387437.804 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (* 1 (sqrt (/ (+ 1 N) N)))))) 1545387437.804 * * * * [misc]progress: [ 52 / 84 ] simplifiying candidate # 1545387437.804 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1545387437.804 * * [misc]simplify: iters left: 3 (4 enodes) 1545387437.805 * * [misc]simplify: iters left: 2 (7 enodes) 1545387437.806 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1545387437.806 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (* (sqrt (+ N 1)) (sqrt (/ 1 N)))))) 1545387437.806 * * * * [misc]progress: [ 53 / 84 ] simplifiying candidate # 1545387437.806 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1545387437.806 * * [misc]simplify: iters left: 3 (4 enodes) 1545387437.807 * * [misc]simplify: iters left: 2 (7 enodes) 1545387437.808 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1545387437.808 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (/ (sqrt (+ N 1)) (sqrt N))))) 1545387437.808 * * * * [misc]progress: [ 54 / 84 ] simplifiying candidate # 1545387437.809 * * * * [misc]progress: [ 55 / 84 ] simplifiying candidate # 1545387437.809 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1545387437.809 * * [misc]simplify: iters left: 5 (5 enodes) 1545387437.810 * * [misc]simplify: iters left: 4 (8 enodes) 1545387437.811 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1545387437.811 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (fabs (sqrt (/ (+ N 1) N)))))) 1545387437.811 * * * * [misc]progress: [ 56 / 84 ] simplifiying candidate # 1545387437.811 * * * * [misc]progress: [ 57 / 84 ] simplifiying candidate # 1545387437.811 * * * * [misc]progress: [ 58 / 84 ] simplifiying candidate # 1545387437.811 * * * * [misc]progress: [ 59 / 84 ] simplifiying candidate # 1545387437.811 * * * * [misc]progress: [ 60 / 84 ] simplifiying candidate # 1545387437.811 * * * * [misc]progress: [ 61 / 84 ] simplifiying candidate # 1545387437.811 * * * * [misc]progress: [ 62 / 84 ] simplifiying candidate # 1545387437.811 * * * * [misc]progress: [ 63 / 84 ] simplifiying candidate # 1545387437.811 * * * * [misc]progress: [ 64 / 84 ] simplifiying candidate # 1545387437.811 * * * * [misc]progress: [ 65 / 84 ] simplifiying candidate # 1545387437.811 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1545387437.811 * * [misc]simplify: iters left: 6 (7 enodes) 1545387437.812 * * [misc]simplify: iters left: 5 (11 enodes) 1545387437.814 * [exit]simplify: Simplified to (fabs (cbrt (/ (+ N 1) N))) 1545387437.814 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (fabs (cbrt (/ (+ N 1) N))) (sqrt (cbrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387437.814 * * * * [misc]progress: [ 66 / 84 ] simplifiying candidate # 1545387437.814 * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 N) N))) 1545387437.814 * * [misc]simplify: iters left: 6 (6 enodes) 1545387437.815 * * [misc]simplify: iters left: 5 (9 enodes) 1545387437.816 * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ N 1) N))) 1545387437.816 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387437.816 * * * * [misc]progress: [ 67 / 84 ] simplifiying candidate # 1545387437.816 * [enter]simplify: Simplifying (sqrt 1) 1545387437.816 * * [misc]simplify: iters left: 1 (2 enodes) 1545387437.817 * [exit]simplify: Simplified to 1 1545387437.817 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* 1 (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N))))) 1545387437.817 * * * * [misc]progress: [ 68 / 84 ] simplifiying candidate # 1545387437.817 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1545387437.817 * * [misc]simplify: iters left: 3 (4 enodes) 1545387437.818 * * [misc]simplify: iters left: 2 (7 enodes) 1545387437.819 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1545387437.819 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (+ N 1)) (sqrt (/ 1 N)))) (log (sqrt (/ (+ 1 N) N))))) 1545387437.819 * * * * [misc]progress: [ 69 / 84 ] simplifiying candidate # 1545387437.819 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1545387437.819 * * [misc]simplify: iters left: 3 (4 enodes) 1545387437.820 * * [misc]simplify: iters left: 2 (7 enodes) 1545387437.821 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1545387437.822 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (/ (+ 1 N) N))))) 1545387437.822 * * * * [misc]progress: [ 70 / 84 ] simplifiying candidate # 1545387437.822 * * * * [misc]progress: [ 71 / 84 ] simplifiying candidate # 1545387437.822 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1545387437.822 * * [misc]simplify: iters left: 5 (5 enodes) 1545387437.824 * * [misc]simplify: iters left: 4 (8 enodes) 1545387437.826 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1545387437.826 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (fabs (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ 1 N) N))))) 1545387437.826 * * * * [misc]progress: [ 72 / 84 ] simplifiying candidate # 1545387437.826 * * * * [misc]progress: [ 73 / 84 ] simplifiying candidate # 1545387437.826 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1545387437.826 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) +nan.0)) 1545387437.826 * * * * [misc]progress: [ 74 / 84 ] simplifiying candidate # 1545387437.826 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545387437.826 * * [misc]simplify: iters left: 6 (17 enodes) 1545387437.836 * * [misc]simplify: iters left: 5 (37 enodes) 1545387437.852 * * [misc]simplify: iters left: 4 (72 enodes) 1545387437.879 * * [misc]simplify: iters left: 3 (126 enodes) 1545387437.930 * * [misc]simplify: iters left: 2 (206 enodes) 1545387437.992 * * [misc]simplify: iters left: 1 (294 enodes) 1545387438.127 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1545387438.127 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) 1545387438.127 * * * * [misc]progress: [ 75 / 84 ] simplifiying candidate # 1545387438.127 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545387438.127 * * [misc]simplify: iters left: 6 (17 enodes) 1545387438.136 * * [misc]simplify: iters left: 5 (37 enodes) 1545387438.154 * * [misc]simplify: iters left: 4 (72 enodes) 1545387438.180 * * [misc]simplify: iters left: 3 (126 enodes) 1545387438.228 * * [misc]simplify: iters left: 2 (206 enodes) 1545387438.283 * * [misc]simplify: iters left: 1 (294 enodes) 1545387438.737 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1545387438.737 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) 1545387438.738 * * * * [misc]progress: [ 76 / 84 ] simplifiying candidate # 1545387438.739 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1545387438.739 * [misc]simplify: Simplified (2 1) to (λ (N) (+ +nan.0 (log (sqrt (/ (+ 1 N) N))))) 1545387438.739 * * * * [misc]progress: [ 77 / 84 ] simplifiying candidate # 1545387438.739 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545387438.739 * * [misc]simplify: iters left: 6 (17 enodes) 1545387438.744 * * [misc]simplify: iters left: 5 (37 enodes) 1545387438.753 * * [misc]simplify: iters left: 4 (72 enodes) 1545387438.769 * * [misc]simplify: iters left: 3 (126 enodes) 1545387438.817 * * [misc]simplify: iters left: 2 (206 enodes) 1545387438.857 * * [misc]simplify: iters left: 1 (294 enodes) 1545387438.983 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1545387438.983 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) (log (sqrt (/ (+ 1 N) N))))) 1545387438.983 * * * * [misc]progress: [ 78 / 84 ] simplifiying candidate # 1545387438.984 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545387438.984 * * [misc]simplify: iters left: 6 (17 enodes) 1545387438.992 * * [misc]simplify: iters left: 5 (37 enodes) 1545387439.010 * * [misc]simplify: iters left: 4 (72 enodes) 1545387439.038 * * [misc]simplify: iters left: 3 (126 enodes) 1545387439.096 * * [misc]simplify: iters left: 2 (206 enodes) 1545387439.154 * * [misc]simplify: iters left: 1 (294 enodes) 1545387439.279 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1545387439.279 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) (log (sqrt (/ (+ 1 N) N))))) 1545387439.280 * * * * [misc]progress: [ 79 / 84 ] simplifiying candidate # 1545387439.280 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1545387439.280 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log +nan.0))) 1545387439.280 * * * * [misc]progress: [ 80 / 84 ] simplifiying candidate # 1545387439.280 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1545387439.280 * * [misc]simplify: iters left: 6 (12 enodes) 1545387439.283 * * [misc]simplify: iters left: 5 (27 enodes) 1545387439.290 * * [misc]simplify: iters left: 4 (52 enodes) 1545387439.301 * * [misc]simplify: iters left: 3 (90 enodes) 1545387439.333 * * [misc]simplify: iters left: 2 (135 enodes) 1545387439.372 * * [misc]simplify: iters left: 1 (181 enodes) 1545387439.411 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1545387439.411 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))))) 1545387439.411 * * * * [misc]progress: [ 81 / 84 ] simplifiying candidate # 1545387439.412 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1545387439.412 * * [misc]simplify: iters left: 6 (12 enodes) 1545387439.415 * * [misc]simplify: iters left: 5 (27 enodes) 1545387439.422 * * [misc]simplify: iters left: 4 (52 enodes) 1545387439.436 * * [misc]simplify: iters left: 3 (90 enodes) 1545387439.455 * * [misc]simplify: iters left: 2 (135 enodes) 1545387439.476 * * [misc]simplify: iters left: 1 (181 enodes) 1545387439.510 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1545387439.510 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))))) 1545387439.510 * * * * [misc]progress: [ 82 / 84 ] simplifiying candidate # 1545387439.510 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1545387439.511 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log +nan.0) (log (sqrt (/ (+ 1 N) N))))) 1545387439.511 * * * * [misc]progress: [ 83 / 84 ] simplifiying candidate # 1545387439.511 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1545387439.511 * * [misc]simplify: iters left: 6 (12 enodes) 1545387439.517 * * [misc]simplify: iters left: 5 (27 enodes) 1545387439.531 * * [misc]simplify: iters left: 4 (52 enodes) 1545387439.551 * * [misc]simplify: iters left: 3 (90 enodes) 1545387439.587 * * [misc]simplify: iters left: 2 (135 enodes) 1545387439.616 * * [misc]simplify: iters left: 1 (181 enodes) 1545387439.652 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1545387439.652 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))) (log (sqrt (/ (+ 1 N) N))))) 1545387439.652 * * * * [misc]progress: [ 84 / 84 ] simplifiying candidate # 1545387439.652 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1545387439.652 * * [misc]simplify: iters left: 6 (12 enodes) 1545387439.658 * * [misc]simplify: iters left: 5 (27 enodes) 1545387439.670 * * [misc]simplify: iters left: 4 (52 enodes) 1545387439.690 * * [misc]simplify: iters left: 3 (90 enodes) 1545387439.727 * * [misc]simplify: iters left: 2 (135 enodes) 1545387439.764 * * [misc]simplify: iters left: 1 (181 enodes) 1545387439.816 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1545387439.816 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))) (log (sqrt (/ (+ 1 N) N))))) 1545387439.816 * * * [misc]progress: adding candidates to table 1545387440.698 * * [misc]progress: iteration 4 / 4 1545387440.698 * * * [misc]progress: picking best candidate 1545387440.705 * * * * [misc]pick: Picked # 1545387440.705 * * * [misc]progress: localizing error 1545387440.735 * * * [misc]progress: generating rewritten candidates 1545387440.735 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1545387440.738 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) 1545387440.740 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 1) 1545387440.742 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) 1545387440.746 * * * [misc]progress: generating series expansions 1545387440.746 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1545387440.746 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1545387440.746 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1545387440.746 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545387440.746 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545387440.746 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387440.746 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387440.746 * [misc]taylor: Taking taylor expansion of N in N 1545387440.747 * [misc]backup-simplify: Simplify 0 into 0 1545387440.747 * [misc]backup-simplify: Simplify 1 into 1 1545387440.747 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.747 * [misc]backup-simplify: Simplify 1 into 1 1545387440.747 * [misc]taylor: Taking taylor expansion of N in N 1545387440.747 * [misc]backup-simplify: Simplify 0 into 0 1545387440.747 * [misc]backup-simplify: Simplify 1 into 1 1545387440.747 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387440.747 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.747 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545387440.748 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545387440.748 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387440.748 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545387440.748 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545387440.748 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387440.748 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387440.748 * [misc]taylor: Taking taylor expansion of N in N 1545387440.748 * [misc]backup-simplify: Simplify 0 into 0 1545387440.748 * [misc]backup-simplify: Simplify 1 into 1 1545387440.748 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.748 * [misc]backup-simplify: Simplify 1 into 1 1545387440.748 * [misc]taylor: Taking taylor expansion of N in N 1545387440.748 * [misc]backup-simplify: Simplify 0 into 0 1545387440.748 * [misc]backup-simplify: Simplify 1 into 1 1545387440.748 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387440.748 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.748 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545387440.749 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545387440.749 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387440.749 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387440.749 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.749 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545387440.750 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545387440.751 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1545387440.751 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387440.752 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.752 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545387440.752 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545387440.755 * [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 1545387440.755 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387440.755 * [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))))) 1545387440.755 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1545387440.755 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1545387440.755 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545387440.756 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545387440.756 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387440.756 * [misc]taylor: Taking taylor expansion of N in N 1545387440.756 * [misc]backup-simplify: Simplify 0 into 0 1545387440.756 * [misc]backup-simplify: Simplify 1 into 1 1545387440.756 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387440.756 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387440.756 * [misc]taylor: Taking taylor expansion of N in N 1545387440.756 * [misc]backup-simplify: Simplify 0 into 0 1545387440.756 * [misc]backup-simplify: Simplify 1 into 1 1545387440.756 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.756 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.756 * [misc]backup-simplify: Simplify 1 into 1 1545387440.756 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.756 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387440.756 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387440.756 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387440.756 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387440.756 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387440.757 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.757 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.757 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387440.757 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545387440.757 * [misc]backup-simplify: Simplify (log 1) into 0 1545387440.757 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545387440.757 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545387440.757 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387440.757 * [misc]taylor: Taking taylor expansion of N in N 1545387440.757 * [misc]backup-simplify: Simplify 0 into 0 1545387440.757 * [misc]backup-simplify: Simplify 1 into 1 1545387440.757 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387440.757 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387440.757 * [misc]taylor: Taking taylor expansion of N in N 1545387440.757 * [misc]backup-simplify: Simplify 0 into 0 1545387440.757 * [misc]backup-simplify: Simplify 1 into 1 1545387440.757 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.757 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.757 * [misc]backup-simplify: Simplify 1 into 1 1545387440.758 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.758 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387440.758 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387440.758 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387440.758 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387440.758 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387440.758 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.758 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.759 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387440.759 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545387440.759 * [misc]backup-simplify: Simplify (log 1) into 0 1545387440.759 * [misc]backup-simplify: Simplify 0 into 0 1545387440.760 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1545387440.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545387440.761 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.761 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.761 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545387440.762 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1545387440.764 * [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 1545387440.764 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545387440.764 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.764 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.765 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545387440.765 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1545387440.769 * [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 1545387440.769 * [misc]backup-simplify: Simplify 1/6 into 1/6 1545387440.769 * [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)))) 1545387440.769 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1545387440.769 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1545387440.769 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545387440.769 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545387440.769 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387440.769 * [misc]taylor: Taking taylor expansion of -1 in N 1545387440.769 * [misc]backup-simplify: Simplify -1 into -1 1545387440.769 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387440.769 * [misc]taylor: Taking taylor expansion of N in N 1545387440.769 * [misc]backup-simplify: Simplify 0 into 0 1545387440.769 * [misc]backup-simplify: Simplify 1 into 1 1545387440.769 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387440.769 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.769 * [misc]backup-simplify: Simplify 1 into 1 1545387440.770 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387440.770 * [misc]taylor: Taking taylor expansion of N in N 1545387440.770 * [misc]backup-simplify: Simplify 0 into 0 1545387440.770 * [misc]backup-simplify: Simplify 1 into 1 1545387440.770 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.770 * [misc]backup-simplify: Simplify (- 1) into -1 1545387440.770 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387440.770 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387440.770 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387440.770 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387440.770 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.770 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.771 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387440.771 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387440.771 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387440.771 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.771 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.771 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.771 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387440.772 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387440.772 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545387440.772 * [misc]backup-simplify: Simplify (log 1) into 0 1545387440.772 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545387440.772 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545387440.772 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387440.772 * [misc]taylor: Taking taylor expansion of -1 in N 1545387440.772 * [misc]backup-simplify: Simplify -1 into -1 1545387440.772 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387440.772 * [misc]taylor: Taking taylor expansion of N in N 1545387440.772 * [misc]backup-simplify: Simplify 0 into 0 1545387440.772 * [misc]backup-simplify: Simplify 1 into 1 1545387440.772 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387440.772 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.772 * [misc]backup-simplify: Simplify 1 into 1 1545387440.772 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387440.772 * [misc]taylor: Taking taylor expansion of N in N 1545387440.772 * [misc]backup-simplify: Simplify 0 into 0 1545387440.772 * [misc]backup-simplify: Simplify 1 into 1 1545387440.772 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.772 * [misc]backup-simplify: Simplify (- 1) into -1 1545387440.772 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387440.772 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387440.772 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387440.773 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387440.773 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.773 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.773 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387440.773 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387440.773 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387440.773 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.773 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.774 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.774 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387440.774 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387440.774 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545387440.774 * [misc]backup-simplify: Simplify (log 1) into 0 1545387440.774 * [misc]backup-simplify: Simplify 0 into 0 1545387440.776 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1545387440.776 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545387440.776 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.776 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.776 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.776 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545387440.777 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545387440.780 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545387440.782 * [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 1545387440.782 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545387440.783 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.783 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.783 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.783 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545387440.783 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545387440.783 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1545387440.787 * [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 1545387440.788 * [misc]backup-simplify: Simplify -1/6 into -1/6 1545387440.788 * [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)))) 1545387440.788 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) 1545387440.788 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1545387440.788 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1545387440.788 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545387440.788 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545387440.788 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387440.788 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387440.788 * [misc]taylor: Taking taylor expansion of N in N 1545387440.788 * [misc]backup-simplify: Simplify 0 into 0 1545387440.788 * [misc]backup-simplify: Simplify 1 into 1 1545387440.788 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.788 * [misc]backup-simplify: Simplify 1 into 1 1545387440.788 * [misc]taylor: Taking taylor expansion of N in N 1545387440.788 * [misc]backup-simplify: Simplify 0 into 0 1545387440.788 * [misc]backup-simplify: Simplify 1 into 1 1545387440.788 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387440.788 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.789 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545387440.789 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545387440.789 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387440.789 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545387440.789 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545387440.789 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387440.789 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387440.789 * [misc]taylor: Taking taylor expansion of N in N 1545387440.789 * [misc]backup-simplify: Simplify 0 into 0 1545387440.789 * [misc]backup-simplify: Simplify 1 into 1 1545387440.789 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.789 * [misc]backup-simplify: Simplify 1 into 1 1545387440.789 * [misc]taylor: Taking taylor expansion of N in N 1545387440.789 * [misc]backup-simplify: Simplify 0 into 0 1545387440.789 * [misc]backup-simplify: Simplify 1 into 1 1545387440.789 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387440.789 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.790 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545387440.790 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545387440.790 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387440.790 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387440.790 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.790 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545387440.791 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545387440.792 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1545387440.792 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387440.793 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.793 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545387440.793 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545387440.796 * [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 1545387440.796 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387440.796 * [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))))) 1545387440.796 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1545387440.796 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1545387440.796 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545387440.796 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545387440.796 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387440.796 * [misc]taylor: Taking taylor expansion of N in N 1545387440.796 * [misc]backup-simplify: Simplify 0 into 0 1545387440.796 * [misc]backup-simplify: Simplify 1 into 1 1545387440.796 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387440.796 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387440.796 * [misc]taylor: Taking taylor expansion of N in N 1545387440.796 * [misc]backup-simplify: Simplify 0 into 0 1545387440.796 * [misc]backup-simplify: Simplify 1 into 1 1545387440.797 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.797 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.797 * [misc]backup-simplify: Simplify 1 into 1 1545387440.797 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.797 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387440.797 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387440.797 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387440.797 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387440.797 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387440.797 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.798 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.798 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387440.798 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545387440.798 * [misc]backup-simplify: Simplify (log 1) into 0 1545387440.798 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545387440.798 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545387440.798 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387440.798 * [misc]taylor: Taking taylor expansion of N in N 1545387440.798 * [misc]backup-simplify: Simplify 0 into 0 1545387440.798 * [misc]backup-simplify: Simplify 1 into 1 1545387440.798 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387440.798 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387440.798 * [misc]taylor: Taking taylor expansion of N in N 1545387440.798 * [misc]backup-simplify: Simplify 0 into 0 1545387440.798 * [misc]backup-simplify: Simplify 1 into 1 1545387440.798 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.798 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.798 * [misc]backup-simplify: Simplify 1 into 1 1545387440.798 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.798 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387440.799 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387440.799 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387440.799 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387440.799 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387440.799 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.799 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.799 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387440.799 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545387440.800 * [misc]backup-simplify: Simplify (log 1) into 0 1545387440.800 * [misc]backup-simplify: Simplify 0 into 0 1545387440.801 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1545387440.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545387440.801 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.801 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.802 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545387440.802 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1545387440.805 * [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 1545387440.805 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545387440.805 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.805 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.805 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545387440.806 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1545387440.811 * [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 1545387440.811 * [misc]backup-simplify: Simplify 1/6 into 1/6 1545387440.812 * [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)))) 1545387440.812 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1545387440.812 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1545387440.812 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545387440.812 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545387440.812 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387440.812 * [misc]taylor: Taking taylor expansion of -1 in N 1545387440.812 * [misc]backup-simplify: Simplify -1 into -1 1545387440.812 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387440.812 * [misc]taylor: Taking taylor expansion of N in N 1545387440.812 * [misc]backup-simplify: Simplify 0 into 0 1545387440.812 * [misc]backup-simplify: Simplify 1 into 1 1545387440.812 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387440.812 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.812 * [misc]backup-simplify: Simplify 1 into 1 1545387440.812 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387440.812 * [misc]taylor: Taking taylor expansion of N in N 1545387440.812 * [misc]backup-simplify: Simplify 0 into 0 1545387440.812 * [misc]backup-simplify: Simplify 1 into 1 1545387440.813 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.813 * [misc]backup-simplify: Simplify (- 1) into -1 1545387440.813 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387440.813 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387440.813 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387440.813 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387440.814 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.814 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.814 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387440.814 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387440.814 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387440.815 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.815 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.815 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.815 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387440.816 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387440.816 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545387440.816 * [misc]backup-simplify: Simplify (log 1) into 0 1545387440.816 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545387440.816 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545387440.816 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387440.816 * [misc]taylor: Taking taylor expansion of -1 in N 1545387440.817 * [misc]backup-simplify: Simplify -1 into -1 1545387440.817 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387440.817 * [misc]taylor: Taking taylor expansion of N in N 1545387440.817 * [misc]backup-simplify: Simplify 0 into 0 1545387440.817 * [misc]backup-simplify: Simplify 1 into 1 1545387440.817 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387440.817 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.817 * [misc]backup-simplify: Simplify 1 into 1 1545387440.817 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387440.817 * [misc]taylor: Taking taylor expansion of N in N 1545387440.817 * [misc]backup-simplify: Simplify 0 into 0 1545387440.817 * [misc]backup-simplify: Simplify 1 into 1 1545387440.817 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.817 * [misc]backup-simplify: Simplify (- 1) into -1 1545387440.817 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387440.817 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387440.818 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387440.818 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387440.818 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.818 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.818 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387440.819 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387440.819 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387440.819 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.819 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.819 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.820 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387440.820 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387440.820 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545387440.820 * [misc]backup-simplify: Simplify (log 1) into 0 1545387440.820 * [misc]backup-simplify: Simplify 0 into 0 1545387440.823 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1545387440.823 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545387440.824 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.824 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.824 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.824 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545387440.825 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545387440.826 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545387440.830 * [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 1545387440.830 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545387440.831 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.831 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.831 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.831 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545387440.832 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545387440.832 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1545387440.839 * [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 1545387440.839 * [misc]backup-simplify: Simplify -1/6 into -1/6 1545387440.839 * [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)))) 1545387440.839 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2 1) 1545387440.839 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1545387440.840 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1545387440.840 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545387440.840 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545387440.840 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387440.840 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387440.840 * [misc]taylor: Taking taylor expansion of N in N 1545387440.840 * [misc]backup-simplify: Simplify 0 into 0 1545387440.840 * [misc]backup-simplify: Simplify 1 into 1 1545387440.840 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.840 * [misc]backup-simplify: Simplify 1 into 1 1545387440.840 * [misc]taylor: Taking taylor expansion of N in N 1545387440.840 * [misc]backup-simplify: Simplify 0 into 0 1545387440.840 * [misc]backup-simplify: Simplify 1 into 1 1545387440.840 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387440.840 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.840 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545387440.841 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545387440.841 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387440.841 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545387440.841 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545387440.841 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387440.841 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387440.841 * [misc]taylor: Taking taylor expansion of N in N 1545387440.841 * [misc]backup-simplify: Simplify 0 into 0 1545387440.841 * [misc]backup-simplify: Simplify 1 into 1 1545387440.841 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.841 * [misc]backup-simplify: Simplify 1 into 1 1545387440.841 * [misc]taylor: Taking taylor expansion of N in N 1545387440.841 * [misc]backup-simplify: Simplify 0 into 0 1545387440.841 * [misc]backup-simplify: Simplify 1 into 1 1545387440.842 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387440.842 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.842 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545387440.842 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545387440.842 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387440.843 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387440.843 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.843 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545387440.844 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545387440.847 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1545387440.847 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387440.847 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.847 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545387440.849 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545387440.853 * [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 1545387440.853 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387440.853 * [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))))) 1545387440.854 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1545387440.854 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1545387440.854 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545387440.854 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545387440.854 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387440.854 * [misc]taylor: Taking taylor expansion of N in N 1545387440.854 * [misc]backup-simplify: Simplify 0 into 0 1545387440.854 * [misc]backup-simplify: Simplify 1 into 1 1545387440.854 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387440.854 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387440.854 * [misc]taylor: Taking taylor expansion of N in N 1545387440.854 * [misc]backup-simplify: Simplify 0 into 0 1545387440.854 * [misc]backup-simplify: Simplify 1 into 1 1545387440.854 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.854 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.854 * [misc]backup-simplify: Simplify 1 into 1 1545387440.854 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.855 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387440.855 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387440.855 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387440.855 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387440.856 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387440.856 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.856 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.856 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387440.857 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545387440.857 * [misc]backup-simplify: Simplify (log 1) into 0 1545387440.857 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545387440.857 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545387440.857 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387440.857 * [misc]taylor: Taking taylor expansion of N in N 1545387440.857 * [misc]backup-simplify: Simplify 0 into 0 1545387440.857 * [misc]backup-simplify: Simplify 1 into 1 1545387440.857 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387440.857 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387440.857 * [misc]taylor: Taking taylor expansion of N in N 1545387440.857 * [misc]backup-simplify: Simplify 0 into 0 1545387440.857 * [misc]backup-simplify: Simplify 1 into 1 1545387440.857 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.857 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.857 * [misc]backup-simplify: Simplify 1 into 1 1545387440.857 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.858 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387440.858 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387440.858 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387440.858 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387440.858 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387440.859 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.859 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.859 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387440.859 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545387440.859 * [misc]backup-simplify: Simplify (log 1) into 0 1545387440.860 * [misc]backup-simplify: Simplify 0 into 0 1545387440.862 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1545387440.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545387440.863 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.863 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.863 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545387440.865 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1545387440.869 * [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 1545387440.869 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545387440.869 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.869 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.869 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545387440.869 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1545387440.873 * [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 1545387440.873 * [misc]backup-simplify: Simplify 1/6 into 1/6 1545387440.874 * [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)))) 1545387440.874 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1545387440.874 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1545387440.874 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545387440.874 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545387440.874 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387440.874 * [misc]taylor: Taking taylor expansion of -1 in N 1545387440.874 * [misc]backup-simplify: Simplify -1 into -1 1545387440.874 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387440.874 * [misc]taylor: Taking taylor expansion of N in N 1545387440.874 * [misc]backup-simplify: Simplify 0 into 0 1545387440.874 * [misc]backup-simplify: Simplify 1 into 1 1545387440.874 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387440.874 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.874 * [misc]backup-simplify: Simplify 1 into 1 1545387440.874 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387440.874 * [misc]taylor: Taking taylor expansion of N in N 1545387440.874 * [misc]backup-simplify: Simplify 0 into 0 1545387440.874 * [misc]backup-simplify: Simplify 1 into 1 1545387440.874 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.874 * [misc]backup-simplify: Simplify (- 1) into -1 1545387440.874 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387440.874 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387440.874 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387440.875 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387440.875 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.875 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.875 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387440.875 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387440.875 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387440.875 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.875 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.876 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.876 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387440.876 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387440.876 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545387440.876 * [misc]backup-simplify: Simplify (log 1) into 0 1545387440.876 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545387440.876 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545387440.876 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387440.876 * [misc]taylor: Taking taylor expansion of -1 in N 1545387440.876 * [misc]backup-simplify: Simplify -1 into -1 1545387440.876 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387440.876 * [misc]taylor: Taking taylor expansion of N in N 1545387440.876 * [misc]backup-simplify: Simplify 0 into 0 1545387440.876 * [misc]backup-simplify: Simplify 1 into 1 1545387440.876 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387440.876 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.876 * [misc]backup-simplify: Simplify 1 into 1 1545387440.876 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387440.876 * [misc]taylor: Taking taylor expansion of N in N 1545387440.876 * [misc]backup-simplify: Simplify 0 into 0 1545387440.876 * [misc]backup-simplify: Simplify 1 into 1 1545387440.876 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.877 * [misc]backup-simplify: Simplify (- 1) into -1 1545387440.877 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387440.877 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387440.877 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387440.877 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387440.877 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.877 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.877 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387440.877 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387440.878 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387440.878 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.878 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.878 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.878 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387440.878 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387440.878 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545387440.878 * [misc]backup-simplify: Simplify (log 1) into 0 1545387440.878 * [misc]backup-simplify: Simplify 0 into 0 1545387440.880 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1545387440.880 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545387440.880 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.880 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.881 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.881 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545387440.881 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545387440.882 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545387440.884 * [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 1545387440.884 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545387440.884 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.884 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.885 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.885 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545387440.885 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545387440.885 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1545387440.889 * [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 1545387440.889 * [misc]backup-simplify: Simplify -1/6 into -1/6 1545387440.889 * [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)))) 1545387440.889 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) 1545387440.890 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1545387440.890 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1545387440.890 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545387440.890 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545387440.890 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387440.890 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387440.890 * [misc]taylor: Taking taylor expansion of N in N 1545387440.890 * [misc]backup-simplify: Simplify 0 into 0 1545387440.890 * [misc]backup-simplify: Simplify 1 into 1 1545387440.890 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.890 * [misc]backup-simplify: Simplify 1 into 1 1545387440.890 * [misc]taylor: Taking taylor expansion of N in N 1545387440.890 * [misc]backup-simplify: Simplify 0 into 0 1545387440.890 * [misc]backup-simplify: Simplify 1 into 1 1545387440.890 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387440.890 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.890 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545387440.891 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545387440.891 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387440.891 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1545387440.891 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1545387440.891 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545387440.891 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545387440.891 * [misc]taylor: Taking taylor expansion of N in N 1545387440.891 * [misc]backup-simplify: Simplify 0 into 0 1545387440.891 * [misc]backup-simplify: Simplify 1 into 1 1545387440.891 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.891 * [misc]backup-simplify: Simplify 1 into 1 1545387440.891 * [misc]taylor: Taking taylor expansion of N in N 1545387440.891 * [misc]backup-simplify: Simplify 0 into 0 1545387440.891 * [misc]backup-simplify: Simplify 1 into 1 1545387440.891 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387440.891 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.891 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545387440.891 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545387440.891 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387440.892 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1545387440.892 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.892 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545387440.893 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545387440.894 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1545387440.894 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387440.894 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.894 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545387440.895 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545387440.897 * [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 1545387440.898 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545387440.898 * [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))))) 1545387440.898 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1545387440.898 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1545387440.898 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545387440.898 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545387440.898 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387440.898 * [misc]taylor: Taking taylor expansion of N in N 1545387440.898 * [misc]backup-simplify: Simplify 0 into 0 1545387440.898 * [misc]backup-simplify: Simplify 1 into 1 1545387440.898 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387440.898 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387440.898 * [misc]taylor: Taking taylor expansion of N in N 1545387440.898 * [misc]backup-simplify: Simplify 0 into 0 1545387440.898 * [misc]backup-simplify: Simplify 1 into 1 1545387440.898 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.898 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.898 * [misc]backup-simplify: Simplify 1 into 1 1545387440.898 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.898 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387440.899 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387440.899 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387440.899 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387440.899 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387440.899 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.899 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.900 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387440.900 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545387440.901 * [misc]backup-simplify: Simplify (log 1) into 0 1545387440.901 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1545387440.901 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1545387440.901 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545387440.901 * [misc]taylor: Taking taylor expansion of N in N 1545387440.901 * [misc]backup-simplify: Simplify 0 into 0 1545387440.901 * [misc]backup-simplify: Simplify 1 into 1 1545387440.901 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545387440.901 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387440.901 * [misc]taylor: Taking taylor expansion of N in N 1545387440.901 * [misc]backup-simplify: Simplify 0 into 0 1545387440.901 * [misc]backup-simplify: Simplify 1 into 1 1545387440.901 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.901 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.901 * [misc]backup-simplify: Simplify 1 into 1 1545387440.901 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.901 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545387440.901 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387440.901 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545387440.901 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545387440.902 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387440.902 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.902 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.902 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545387440.902 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1545387440.902 * [misc]backup-simplify: Simplify (log 1) into 0 1545387440.902 * [misc]backup-simplify: Simplify 0 into 0 1545387440.904 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1545387440.904 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545387440.904 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.904 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.905 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545387440.905 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1545387440.908 * [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 1545387440.908 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545387440.908 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.908 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.908 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545387440.909 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1545387440.912 * [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 1545387440.913 * [misc]backup-simplify: Simplify 1/6 into 1/6 1545387440.913 * [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)))) 1545387440.913 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1545387440.913 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1545387440.913 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545387440.913 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545387440.913 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387440.913 * [misc]taylor: Taking taylor expansion of -1 in N 1545387440.913 * [misc]backup-simplify: Simplify -1 into -1 1545387440.913 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387440.913 * [misc]taylor: Taking taylor expansion of N in N 1545387440.913 * [misc]backup-simplify: Simplify 0 into 0 1545387440.913 * [misc]backup-simplify: Simplify 1 into 1 1545387440.913 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387440.913 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.913 * [misc]backup-simplify: Simplify 1 into 1 1545387440.913 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387440.913 * [misc]taylor: Taking taylor expansion of N in N 1545387440.913 * [misc]backup-simplify: Simplify 0 into 0 1545387440.913 * [misc]backup-simplify: Simplify 1 into 1 1545387440.913 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.913 * [misc]backup-simplify: Simplify (- 1) into -1 1545387440.913 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387440.914 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387440.914 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387440.914 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387440.914 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.914 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.914 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387440.914 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387440.914 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387440.915 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.915 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.915 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.915 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387440.915 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387440.915 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545387440.915 * [misc]backup-simplify: Simplify (log 1) into 0 1545387440.915 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1545387440.915 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1545387440.915 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545387440.915 * [misc]taylor: Taking taylor expansion of -1 in N 1545387440.915 * [misc]backup-simplify: Simplify -1 into -1 1545387440.915 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545387440.915 * [misc]taylor: Taking taylor expansion of N in N 1545387440.915 * [misc]backup-simplify: Simplify 0 into 0 1545387440.915 * [misc]backup-simplify: Simplify 1 into 1 1545387440.915 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545387440.916 * [misc]taylor: Taking taylor expansion of 1 in N 1545387440.916 * [misc]backup-simplify: Simplify 1 into 1 1545387440.916 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545387440.916 * [misc]taylor: Taking taylor expansion of N in N 1545387440.916 * [misc]backup-simplify: Simplify 0 into 0 1545387440.916 * [misc]backup-simplify: Simplify 1 into 1 1545387440.916 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545387440.916 * [misc]backup-simplify: Simplify (- 1) into -1 1545387440.916 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545387440.916 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545387440.916 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545387440.916 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545387440.916 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.916 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545387440.917 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545387440.917 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545387440.917 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545387440.917 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.917 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.917 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.918 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545387440.918 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545387440.918 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545387440.918 * [misc]backup-simplify: Simplify (log 1) into 0 1545387440.918 * [misc]backup-simplify: Simplify 0 into 0 1545387440.920 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1545387440.920 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545387440.920 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.920 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.920 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.920 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545387440.921 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545387440.921 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545387440.924 * [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 1545387440.924 * [misc]backup-simplify: Simplify -1/4 into -1/4 1545387440.924 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545387440.924 * [misc]backup-simplify: Simplify (- 0) into 0 1545387440.924 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545387440.924 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545387440.925 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545387440.925 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1545387440.929 * [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 1545387440.929 * [misc]backup-simplify: Simplify -1/6 into -1/6 1545387440.929 * [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)))) 1545387440.929 * * * [misc]progress: simplifying candidates 1545387440.929 * * * * [misc]progress: [ 1 / 92 ] simplifiying candidate # 1545387440.929 * * * * [misc]progress: [ 2 / 92 ] simplifiying candidate # 1545387440.929 * * * * [misc]progress: [ 3 / 92 ] simplifiying candidate # 1545387440.929 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1545387440.930 * * [misc]simplify: iters left: 6 (8 enodes) 1545387440.931 * * [misc]simplify: iters left: 5 (13 enodes) 1545387440.934 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1545387440.934 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N))))))) 1545387440.934 * * * * [misc]progress: [ 4 / 92 ] simplifiying candidate # 1545387440.934 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1545387440.935 * * [misc]simplify: iters left: 6 (8 enodes) 1545387440.937 * * [misc]simplify: iters left: 5 (12 enodes) 1545387440.940 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1545387440.940 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N))))))) 1545387440.940 * * * * [misc]progress: [ 5 / 92 ] simplifiying candidate # 1545387440.941 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545387440.941 * * [misc]simplify: iters left: 6 (7 enodes) 1545387440.943 * * [misc]simplify: iters left: 5 (10 enodes) 1545387440.946 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545387440.946 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) 1545387440.946 * * * * [misc]progress: [ 6 / 92 ] simplifiying candidate # 1545387440.946 * [enter]simplify: Simplifying (log (sqrt 1)) 1545387440.946 * * [misc]simplify: iters left: 2 (3 enodes) 1545387440.949 * * [misc]simplify: iters left: 1 (5 enodes) 1545387440.950 * [exit]simplify: Simplified to 0 1545387440.950 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (+ 0 (log (sqrt (/ (+ 1 N) N)))))) 1545387440.950 * * * * [misc]progress: [ 7 / 92 ] simplifiying candidate # 1545387440.950 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545387440.951 * * [misc]simplify: iters left: 4 (5 enodes) 1545387440.952 * * [misc]simplify: iters left: 3 (8 enodes) 1545387440.954 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545387440.954 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))))) 1545387440.955 * * * * [misc]progress: [ 8 / 92 ] simplifiying candidate # 1545387440.955 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545387440.955 * * [misc]simplify: iters left: 6 (7 enodes) 1545387440.957 * * [misc]simplify: iters left: 5 (10 enodes) 1545387440.960 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545387440.960 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) 1545387440.960 * * * * [misc]progress: [ 9 / 92 ] simplifiying candidate # 1545387440.960 * [enter]simplify: Simplifying (log 1) 1545387440.960 * * [misc]simplify: iters left: 1 (2 enodes) 1545387440.962 * [exit]simplify: Simplified to 0 1545387440.962 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (+ 0 (log (sqrt (/ (+ 1 N) N)))))) 1545387440.962 * * * * [misc]progress: [ 10 / 92 ] simplifiying candidate # 1545387440.962 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545387440.962 * * [misc]simplify: iters left: 4 (5 enodes) 1545387440.964 * * [misc]simplify: iters left: 3 (8 enodes) 1545387440.966 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545387440.966 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (- (log (sqrt (+ N 1))) (log (sqrt N))))) 1545387440.966 * * * * [misc]progress: [ 11 / 92 ] simplifiying candidate # 1545387440.966 * * * * [misc]progress: [ 12 / 92 ] simplifiying candidate # 1545387440.966 * * * * [misc]progress: [ 13 / 92 ] simplifiying candidate # 1545387440.966 * * * * [misc]progress: [ 14 / 92 ] simplifiying candidate # 1545387440.966 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1545387440.966 * * [misc]simplify: iters left: 5 (5 enodes) 1545387440.968 * * [misc]simplify: iters left: 4 (8 enodes) 1545387440.970 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1545387440.970 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ N 1) N))))) 1545387440.970 * * * * [misc]progress: [ 15 / 92 ] simplifiying candidate # 1545387440.971 * * * * [misc]progress: [ 16 / 92 ] simplifiying candidate # 1545387440.971 * * * * [misc]progress: [ 17 / 92 ] simplifiying candidate # 1545387440.971 * * * * [misc]progress: [ 18 / 92 ] simplifiying candidate # 1545387440.971 * * * * [misc]progress: [ 19 / 92 ] simplifiying candidate # 1545387440.971 * * * * [misc]progress: [ 20 / 92 ] simplifiying candidate # 1545387440.971 * * * * [misc]progress: [ 21 / 92 ] simplifiying candidate # 1545387440.971 * * * * [misc]progress: [ 22 / 92 ] simplifiying candidate # 1545387440.971 * * * * [misc]progress: [ 23 / 92 ] simplifiying candidate # 1545387440.971 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1545387440.971 * * [misc]simplify: iters left: 6 (8 enodes) 1545387440.974 * * [misc]simplify: iters left: 5 (13 enodes) 1545387440.978 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1545387440.978 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N))))))) (log (sqrt (/ (+ 1 N) N))))) 1545387440.978 * * * * [misc]progress: [ 24 / 92 ] simplifiying candidate # 1545387440.978 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1545387440.978 * * [misc]simplify: iters left: 6 (8 enodes) 1545387440.981 * * [misc]simplify: iters left: 5 (12 enodes) 1545387440.984 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1545387440.984 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N))))))) (log (sqrt (/ (+ 1 N) N))))) 1545387440.984 * * * * [misc]progress: [ 25 / 92 ] simplifiying candidate # 1545387440.985 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545387440.985 * * [misc]simplify: iters left: 6 (7 enodes) 1545387440.987 * * [misc]simplify: iters left: 5 (10 enodes) 1545387440.989 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545387440.989 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) (log (sqrt (/ (+ 1 N) N))))) 1545387440.989 * * * * [misc]progress: [ 26 / 92 ] simplifiying candidate # 1545387440.990 * [enter]simplify: Simplifying (log (sqrt 1)) 1545387440.990 * * [misc]simplify: iters left: 2 (3 enodes) 1545387440.992 * * [misc]simplify: iters left: 1 (5 enodes) 1545387440.993 * [exit]simplify: Simplified to 0 1545387440.993 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (+ 0 (log (sqrt (/ (+ 1 N) N)))))) (log (sqrt (/ (+ 1 N) N))))) 1545387440.993 * * * * [misc]progress: [ 27 / 92 ] simplifiying candidate # 1545387440.993 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545387440.993 * * [misc]simplify: iters left: 4 (5 enodes) 1545387440.994 * * [misc]simplify: iters left: 3 (8 enodes) 1545387440.996 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545387440.996 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))))) (log (sqrt (/ (+ 1 N) N))))) 1545387440.996 * * * * [misc]progress: [ 28 / 92 ] simplifiying candidate # 1545387440.997 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545387440.997 * * [misc]simplify: iters left: 6 (7 enodes) 1545387440.999 * * [misc]simplify: iters left: 5 (10 enodes) 1545387441.001 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545387441.001 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.001 * * * * [misc]progress: [ 29 / 92 ] simplifiying candidate # 1545387441.002 * [enter]simplify: Simplifying (log 1) 1545387441.002 * * [misc]simplify: iters left: 1 (2 enodes) 1545387441.003 * [exit]simplify: Simplified to 0 1545387441.003 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (+ 0 (log (sqrt (/ (+ 1 N) N)))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.003 * * * * [misc]progress: [ 30 / 92 ] simplifiying candidate # 1545387441.003 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545387441.003 * * [misc]simplify: iters left: 4 (5 enodes) 1545387441.005 * * [misc]simplify: iters left: 3 (8 enodes) 1545387441.007 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545387441.007 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (- (log (sqrt (+ N 1))) (log (sqrt N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.007 * * * * [misc]progress: [ 31 / 92 ] simplifiying candidate # 1545387441.007 * * * * [misc]progress: [ 32 / 92 ] simplifiying candidate # 1545387441.007 * * * * [misc]progress: [ 33 / 92 ] simplifiying candidate # 1545387441.007 * * * * [misc]progress: [ 34 / 92 ] simplifiying candidate # 1545387441.007 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1545387441.007 * * [misc]simplify: iters left: 5 (5 enodes) 1545387441.009 * * [misc]simplify: iters left: 4 (8 enodes) 1545387441.011 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1545387441.011 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.011 * * * * [misc]progress: [ 35 / 92 ] simplifiying candidate # 1545387441.011 * * * * [misc]progress: [ 36 / 92 ] simplifiying candidate # 1545387441.011 * * * * [misc]progress: [ 37 / 92 ] simplifiying candidate # 1545387441.011 * * * * [misc]progress: [ 38 / 92 ] simplifiying candidate # 1545387441.011 * * * * [misc]progress: [ 39 / 92 ] simplifiying candidate # 1545387441.011 * * * * [misc]progress: [ 40 / 92 ] simplifiying candidate # 1545387441.011 * * * * [misc]progress: [ 41 / 92 ] simplifiying candidate # 1545387441.011 * * * * [misc]progress: [ 42 / 92 ] simplifiying candidate # 1545387441.011 * * * * [misc]progress: [ 43 / 92 ] simplifiying candidate # 1545387441.012 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1545387441.012 * * [misc]simplify: iters left: 6 (8 enodes) 1545387441.013 * * [misc]simplify: iters left: 5 (13 enodes) 1545387441.015 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1545387441.015 * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N))))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.015 * * * * [misc]progress: [ 44 / 92 ] simplifiying candidate # 1545387441.015 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1545387441.015 * * [misc]simplify: iters left: 6 (8 enodes) 1545387441.016 * * [misc]simplify: iters left: 5 (12 enodes) 1545387441.018 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1545387441.018 * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N))))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.018 * * * * [misc]progress: [ 45 / 92 ] simplifiying candidate # 1545387441.018 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545387441.018 * * [misc]simplify: iters left: 6 (7 enodes) 1545387441.019 * * [misc]simplify: iters left: 5 (10 enodes) 1545387441.020 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545387441.020 * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.020 * * * * [misc]progress: [ 46 / 92 ] simplifiying candidate # 1545387441.021 * [enter]simplify: Simplifying (log (sqrt 1)) 1545387441.021 * * [misc]simplify: iters left: 2 (3 enodes) 1545387441.022 * * [misc]simplify: iters left: 1 (5 enodes) 1545387441.022 * [exit]simplify: Simplified to 0 1545387441.022 * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (+ 0 (log (sqrt (/ (+ 1 N) N)))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.022 * * * * [misc]progress: [ 47 / 92 ] simplifiying candidate # 1545387441.022 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545387441.023 * * [misc]simplify: iters left: 4 (5 enodes) 1545387441.023 * * [misc]simplify: iters left: 3 (8 enodes) 1545387441.024 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545387441.024 * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.024 * * * * [misc]progress: [ 48 / 92 ] simplifiying candidate # 1545387441.024 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545387441.024 * * [misc]simplify: iters left: 6 (7 enodes) 1545387441.026 * * [misc]simplify: iters left: 5 (10 enodes) 1545387441.028 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545387441.028 * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.028 * * * * [misc]progress: [ 49 / 92 ] simplifiying candidate # 1545387441.028 * [enter]simplify: Simplifying (log 1) 1545387441.028 * * [misc]simplify: iters left: 1 (2 enodes) 1545387441.029 * [exit]simplify: Simplified to 0 1545387441.029 * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (+ 0 (log (sqrt (/ (+ 1 N) N)))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.029 * * * * [misc]progress: [ 50 / 92 ] simplifiying candidate # 1545387441.029 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545387441.029 * * [misc]simplify: iters left: 4 (5 enodes) 1545387441.030 * * [misc]simplify: iters left: 3 (8 enodes) 1545387441.031 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545387441.031 * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (- (log (sqrt (+ N 1))) (log (sqrt N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.031 * * * * [misc]progress: [ 51 / 92 ] simplifiying candidate # 1545387441.031 * * * * [misc]progress: [ 52 / 92 ] simplifiying candidate # 1545387441.031 * * * * [misc]progress: [ 53 / 92 ] simplifiying candidate # 1545387441.031 * * * * [misc]progress: [ 54 / 92 ] simplifiying candidate # 1545387441.031 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1545387441.031 * * [misc]simplify: iters left: 5 (5 enodes) 1545387441.032 * * [misc]simplify: iters left: 4 (8 enodes) 1545387441.033 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1545387441.033 * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ N 1) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.033 * * * * [misc]progress: [ 55 / 92 ] simplifiying candidate # 1545387441.033 * * * * [misc]progress: [ 56 / 92 ] simplifiying candidate # 1545387441.033 * * * * [misc]progress: [ 57 / 92 ] simplifiying candidate # 1545387441.033 * * * * [misc]progress: [ 58 / 92 ] simplifiying candidate # 1545387441.033 * * * * [misc]progress: [ 59 / 92 ] simplifiying candidate # 1545387441.033 * * * * [misc]progress: [ 60 / 92 ] simplifiying candidate # 1545387441.033 * * * * [misc]progress: [ 61 / 92 ] simplifiying candidate # 1545387441.033 * * * * [misc]progress: [ 62 / 92 ] simplifiying candidate # 1545387441.033 * * * * [misc]progress: [ 63 / 92 ] simplifiying candidate # 1545387441.033 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1545387441.033 * * [misc]simplify: iters left: 6 (8 enodes) 1545387441.035 * * [misc]simplify: iters left: 5 (13 enodes) 1545387441.036 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1545387441.036 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (N) (+ (* (* (cbrt (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N)))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.036 * * * * [misc]progress: [ 64 / 92 ] simplifiying candidate # 1545387441.037 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1545387441.037 * * [misc]simplify: iters left: 6 (8 enodes) 1545387441.038 * * [misc]simplify: iters left: 5 (12 enodes) 1545387441.039 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1545387441.039 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (N) (+ (* (* (cbrt (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N)))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.040 * * * * [misc]progress: [ 65 / 92 ] simplifiying candidate # 1545387441.040 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545387441.040 * * [misc]simplify: iters left: 6 (7 enodes) 1545387441.041 * * [misc]simplify: iters left: 5 (10 enodes) 1545387441.042 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545387441.042 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (N) (+ (* (* (cbrt (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.042 * * * * [misc]progress: [ 66 / 92 ] simplifiying candidate # 1545387441.042 * [enter]simplify: Simplifying (log (sqrt 1)) 1545387441.042 * * [misc]simplify: iters left: 2 (3 enodes) 1545387441.044 * * [misc]simplify: iters left: 1 (5 enodes) 1545387441.044 * [exit]simplify: Simplified to 0 1545387441.044 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (N) (+ (* (* (cbrt (+ 0 (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.044 * * * * [misc]progress: [ 67 / 92 ] simplifiying candidate # 1545387441.044 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545387441.044 * * [misc]simplify: iters left: 4 (5 enodes) 1545387441.045 * * [misc]simplify: iters left: 3 (8 enodes) 1545387441.046 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545387441.046 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (N) (+ (* (* (cbrt (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.046 * * * * [misc]progress: [ 68 / 92 ] simplifiying candidate # 1545387441.046 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1545387441.046 * * [misc]simplify: iters left: 6 (7 enodes) 1545387441.047 * * [misc]simplify: iters left: 5 (10 enodes) 1545387441.049 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1545387441.049 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (N) (+ (* (* (cbrt (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.049 * * * * [misc]progress: [ 69 / 92 ] simplifiying candidate # 1545387441.049 * [enter]simplify: Simplifying (log 1) 1545387441.049 * * [misc]simplify: iters left: 1 (2 enodes) 1545387441.050 * [exit]simplify: Simplified to 0 1545387441.050 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (N) (+ (* (* (cbrt (+ 0 (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.050 * * * * [misc]progress: [ 70 / 92 ] simplifiying candidate # 1545387441.050 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1545387441.050 * * [misc]simplify: iters left: 4 (5 enodes) 1545387441.051 * * [misc]simplify: iters left: 3 (8 enodes) 1545387441.052 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1545387441.052 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (N) (+ (* (* (cbrt (- (log (sqrt (+ N 1))) (log (sqrt N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.052 * * * * [misc]progress: [ 71 / 92 ] simplifiying candidate # 1545387441.052 * * * * [misc]progress: [ 72 / 92 ] simplifiying candidate # 1545387441.052 * * * * [misc]progress: [ 73 / 92 ] simplifiying candidate # 1545387441.052 * * * * [misc]progress: [ 74 / 92 ] simplifiying candidate # 1545387441.052 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1545387441.052 * * [misc]simplify: iters left: 5 (5 enodes) 1545387441.053 * * [misc]simplify: iters left: 4 (8 enodes) 1545387441.054 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1545387441.054 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ N 1) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.054 * * * * [misc]progress: [ 75 / 92 ] simplifiying candidate # 1545387441.054 * * * * [misc]progress: [ 76 / 92 ] simplifiying candidate # 1545387441.054 * * * * [misc]progress: [ 77 / 92 ] simplifiying candidate # 1545387441.054 * * * * [misc]progress: [ 78 / 92 ] simplifiying candidate # 1545387441.054 * * * * [misc]progress: [ 79 / 92 ] simplifiying candidate # 1545387441.055 * * * * [misc]progress: [ 80 / 92 ] simplifiying candidate # 1545387441.055 * * * * [misc]progress: [ 81 / 92 ] simplifiying candidate # 1545387441.055 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1545387441.055 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) +nan.0)) 1545387441.055 * * * * [misc]progress: [ 82 / 92 ] simplifiying candidate # 1545387441.055 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545387441.055 * * [misc]simplify: iters left: 6 (17 enodes) 1545387441.060 * * [misc]simplify: iters left: 5 (37 enodes) 1545387441.069 * * [misc]simplify: iters left: 4 (72 enodes) 1545387441.085 * * [misc]simplify: iters left: 3 (126 enodes) 1545387441.144 * * [misc]simplify: iters left: 2 (206 enodes) 1545387441.175 * * [misc]simplify: iters left: 1 (294 enodes) 1545387441.282 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1545387441.282 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) 1545387441.282 * * * * [misc]progress: [ 83 / 92 ] simplifiying candidate # 1545387441.282 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545387441.282 * * [misc]simplify: iters left: 6 (17 enodes) 1545387441.287 * * [misc]simplify: iters left: 5 (37 enodes) 1545387441.296 * * [misc]simplify: iters left: 4 (72 enodes) 1545387441.317 * * [misc]simplify: iters left: 3 (126 enodes) 1545387441.375 * * [misc]simplify: iters left: 2 (206 enodes) 1545387441.413 * * [misc]simplify: iters left: 1 (294 enodes) 1545387441.514 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1545387441.514 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) 1545387441.514 * * * * [misc]progress: [ 84 / 92 ] simplifiying candidate # 1545387441.514 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1545387441.514 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt +nan.0)) (log (sqrt (/ (+ 1 N) N))))) 1545387441.514 * * * * [misc]progress: [ 85 / 92 ] simplifiying candidate # 1545387441.514 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545387441.515 * * [misc]simplify: iters left: 6 (17 enodes) 1545387441.519 * * [misc]simplify: iters left: 5 (37 enodes) 1545387441.532 * * [misc]simplify: iters left: 4 (72 enodes) 1545387441.563 * * [misc]simplify: iters left: 3 (126 enodes) 1545387441.593 * * [misc]simplify: iters left: 2 (206 enodes) 1545387441.627 * * [misc]simplify: iters left: 1 (294 enodes) 1545387441.708 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1545387441.708 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.708 * * * * [misc]progress: [ 86 / 92 ] simplifiying candidate # 1545387441.708 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545387441.708 * * [misc]simplify: iters left: 6 (17 enodes) 1545387441.714 * * [misc]simplify: iters left: 5 (37 enodes) 1545387441.736 * * [misc]simplify: iters left: 4 (72 enodes) 1545387441.763 * * [misc]simplify: iters left: 3 (126 enodes) 1545387441.817 * * [misc]simplify: iters left: 2 (206 enodes) 1545387441.872 * * [misc]simplify: iters left: 1 (294 enodes) 1545387441.964 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1545387441.964 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.964 * * * * [misc]progress: [ 87 / 92 ] simplifiying candidate # 1545387441.964 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1545387441.964 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt +nan.0)) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387441.964 * * * * [misc]progress: [ 88 / 92 ] simplifiying candidate # 1545387441.964 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545387441.965 * * [misc]simplify: iters left: 6 (17 enodes) 1545387441.969 * * [misc]simplify: iters left: 5 (37 enodes) 1545387441.981 * * [misc]simplify: iters left: 4 (72 enodes) 1545387442.006 * * [misc]simplify: iters left: 3 (126 enodes) 1545387442.040 * * [misc]simplify: iters left: 2 (206 enodes) 1545387442.092 * * [misc]simplify: iters left: 1 (294 enodes) 1545387442.225 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1545387442.225 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387442.225 * * * * [misc]progress: [ 89 / 92 ] simplifiying candidate # 1545387442.225 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545387442.225 * * [misc]simplify: iters left: 6 (17 enodes) 1545387442.230 * * [misc]simplify: iters left: 5 (37 enodes) 1545387442.240 * * [misc]simplify: iters left: 4 (72 enodes) 1545387442.260 * * [misc]simplify: iters left: 3 (126 enodes) 1545387442.295 * * [misc]simplify: iters left: 2 (206 enodes) 1545387442.343 * * [misc]simplify: iters left: 1 (294 enodes) 1545387442.481 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1545387442.481 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (N) (+ (* (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387442.481 * * * * [misc]progress: [ 90 / 92 ] simplifiying candidate # 1545387442.482 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1545387442.482 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (+ (* (* (cbrt +nan.0) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387442.482 * * * * [misc]progress: [ 91 / 92 ] simplifiying candidate # 1545387442.482 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545387442.482 * * [misc]simplify: iters left: 6 (17 enodes) 1545387442.491 * * [misc]simplify: iters left: 5 (37 enodes) 1545387442.508 * * [misc]simplify: iters left: 4 (72 enodes) 1545387442.535 * * [misc]simplify: iters left: 3 (126 enodes) 1545387442.573 * * [misc]simplify: iters left: 2 (206 enodes) 1545387442.636 * * [misc]simplify: iters left: 1 (294 enodes) 1545387442.758 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1545387442.758 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (+ (* (* (cbrt (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387442.758 * * * * [misc]progress: [ 92 / 92 ] simplifiying candidate # 1545387442.758 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1545387442.758 * * [misc]simplify: iters left: 6 (17 enodes) 1545387442.766 * * [misc]simplify: iters left: 5 (37 enodes) 1545387442.783 * * [misc]simplify: iters left: 4 (72 enodes) 1545387442.810 * * [misc]simplify: iters left: 3 (126 enodes) 1545387442.867 * * [misc]simplify: iters left: 2 (206 enodes) 1545387442.922 * * [misc]simplify: iters left: 1 (294 enodes) 1545387443.031 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1545387443.031 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (+ (* (* (cbrt (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1545387443.031 * * * [misc]progress: adding candidates to table 1545387444.227 * [misc]progress: [Phase 3 of 3] Extracting. 1545387444.227 * * [misc]regime: Finding splitpoints for: (# # # #) 1545387444.228 * * * [misc]regime-changes: Trying 1 branch expressions: (N) 1545387444.228 * * * * [misc]regimes: Trying to branch on N from (# # # #) 1545387444.269 * * * [misc]regime: Found split indices: #