1544003502.328 * [misc]progress: [Phase 1 of 3] Setting up. 1544003502.328 * * * [misc]progress: [1/2] Preparing points 1544003502.328 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1544003502.329 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1544003502.331 * * * * [misc]points: Setting MPFR precision to 64 1544003502.332 * * * * [misc]points: Setting MPFR precision to 320 1544003502.332 * * * * [misc]points: Setting MPFR precision to 576 1544003502.334 * * * * [misc]points: Setting MPFR precision to 832 1544003502.335 * * * * [misc]points: Setting MPFR precision to 1088 1544003502.338 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1544003502.341 * * * * [misc]points: Setting MPFR precision to 832 1544003502.344 * * * * [misc]points: Setting MPFR precision to 1088 1544003502.348 * * * * [misc]points: Setting MPFR precision to 1344 1544003502.354 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1544003502.357 * * * * [misc]points: Setting MPFR precision to 1088 1544003502.363 * * * * [misc]points: Setting MPFR precision to 1344 1544003502.370 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1544003502.373 * * * * [misc]points: Setting MPFR precision to 1088 1544003502.384 * * * * [misc]points: Setting MPFR precision to 1344 1544003502.392 * * * * [misc]points: Computing exacts for 256 points 1544003502.394 * * * * [misc]points: Setting MPFR precision to 1088 1544003502.411 * * * * [misc]points: Setting MPFR precision to 1344 1544003502.442 * * * * [misc]points: Filtering points with unrepresentable outputs 1544003502.442 * * * * [misc]points: Sampling 134 additional inputs, on iter 1 have 122 / 256 1544003502.443 * * * * [misc]points: Computing exacts on every 8 of 134 points to ramp up precision 1544003502.446 * * * * [misc]points: Setting MPFR precision to 1088 1544003502.448 * * * * [misc]points: Setting MPFR precision to 1344 1544003502.451 * * * * [misc]points: Computing exacts on every 4 of 134 points to ramp up precision 1544003502.454 * * * * [misc]points: Setting MPFR precision to 1088 1544003502.457 * * * * [misc]points: Setting MPFR precision to 1344 1544003502.461 * * * * [misc]points: Computing exacts on every 2 of 134 points to ramp up precision 1544003502.475 * * * * [misc]points: Setting MPFR precision to 1088 1544003502.479 * * * * [misc]points: Setting MPFR precision to 1344 1544003502.483 * * * * [misc]points: Computing exacts for 134 points 1544003502.485 * * * * [misc]points: Setting MPFR precision to 1088 1544003502.495 * * * * [misc]points: Setting MPFR precision to 1344 1544003502.505 * * * * [misc]points: Filtering points with unrepresentable outputs 1544003502.505 * * * * [misc]points: Sampling 60 additional inputs, on iter 2 have 196 / 256 1544003502.505 * * * * [misc]points: Computing exacts on every 3 of 60 points to ramp up precision 1544003502.507 * * * * [misc]points: Setting MPFR precision to 1088 1544003502.508 * * * * [misc]points: Setting MPFR precision to 1344 1544003502.509 * * * * [misc]points: Computing exacts for 60 points 1544003502.511 * * * * [misc]points: Setting MPFR precision to 1088 1544003502.515 * * * * [misc]points: Setting MPFR precision to 1344 1544003502.519 * * * * [misc]points: Filtering points with unrepresentable outputs 1544003502.519 * * * * [misc]points: Sampling 29 additional inputs, on iter 3 have 227 / 256 1544003502.520 * * * * [misc]points: Computing exacts for 29 points 1544003502.521 * * * * [misc]points: Setting MPFR precision to 1088 1544003502.524 * * * * [misc]points: Setting MPFR precision to 1344 1544003502.527 * * * * [misc]points: Filtering points with unrepresentable outputs 1544003502.527 * * * * [misc]points: Sampling 11 additional inputs, on iter 4 have 245 / 256 1544003502.527 * * * * [misc]points: Computing exacts for 11 points 1544003502.528 * * * * [misc]points: Setting MPFR precision to 1088 1544003502.529 * * * * [misc]points: Setting MPFR precision to 1344 1544003502.530 * * * * [misc]points: Filtering points with unrepresentable outputs 1544003502.530 * * * * [misc]points: Sampling 5 additional inputs, on iter 5 have 251 / 256 1544003502.530 * * * * [misc]points: Computing exacts for 5 points 1544003502.532 * * * * [misc]points: Setting MPFR precision to 1088 1544003502.533 * * * * [misc]points: Setting MPFR precision to 1344 1544003502.534 * * * * [misc]points: Filtering points with unrepresentable outputs 1544003502.534 * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 253 / 256 1544003502.534 * * * * [misc]points: Computing exacts for 4 points 1544003502.537 * * * * [misc]points: Setting MPFR precision to 1088 1544003502.538 * * * * [misc]points: Setting MPFR precision to 1344 1544003502.538 * * * * [misc]points: Filtering points with unrepresentable outputs 1544003502.538 * * * * [exit]points: Sampled 257 points with exact outputs 1544003502.538 * * * [misc]progress: [2/2] Setting up program. 1544003502.543 * [misc]progress: [Phase 2 of 3] Improving. 1544003502.543 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1544003502.543 * * [misc]simplify: iters left: 5 (6 enodes) 1544003502.545 * * [misc]simplify: iters left: 4 (11 enodes) 1544003502.548 * * [misc]simplify: iters left: 3 (13 enodes) 1544003502.551 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1544003502.561 * * [misc]progress: iteration 1 / 4 1544003502.561 * * * [misc]progress: picking best candidate 1544003502.565 * * * * [misc]pick: Picked # 1544003502.565 * * * [misc]progress: localizing error 1544003502.605 * * * [misc]progress: generating rewritten candidates 1544003502.605 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1544003502.616 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1544003502.618 * * * [misc]progress: generating series expansions 1544003502.618 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1544003502.618 * [misc]backup-simplify: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 1544003502.618 * [misc]approximate: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 1544003502.618 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1544003502.618 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1544003502.618 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1544003502.618 * [misc]taylor: Taking taylor expansion of N in N 1544003502.618 * [misc]backup-simplify: Simplify 0 into 0 1544003502.618 * [misc]backup-simplify: Simplify 1 into 1 1544003502.618 * [misc]taylor: Taking taylor expansion of 1 in N 1544003502.619 * [misc]backup-simplify: Simplify 1 into 1 1544003502.619 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003502.619 * [misc]backup-simplify: Simplify (log 1) into 0 1544003502.619 * [misc]taylor: Taking taylor expansion of (log N) in N 1544003502.619 * [misc]taylor: Taking taylor expansion of N in N 1544003502.619 * [misc]backup-simplify: Simplify 0 into 0 1544003502.619 * [misc]backup-simplify: Simplify 1 into 1 1544003502.620 * [misc]backup-simplify: Simplify (log 1) into 0 1544003502.620 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1544003502.620 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1544003502.620 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1544003502.620 * [misc]taylor: Taking taylor expansion of N in N 1544003502.620 * [misc]backup-simplify: Simplify 0 into 0 1544003502.620 * [misc]backup-simplify: Simplify 1 into 1 1544003502.620 * [misc]taylor: Taking taylor expansion of 1 in N 1544003502.620 * [misc]backup-simplify: Simplify 1 into 1 1544003502.620 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003502.620 * [misc]backup-simplify: Simplify (log 1) into 0 1544003502.620 * [misc]taylor: Taking taylor expansion of (log N) in N 1544003502.620 * [misc]taylor: Taking taylor expansion of N in N 1544003502.620 * [misc]backup-simplify: Simplify 0 into 0 1544003502.620 * [misc]backup-simplify: Simplify 1 into 1 1544003502.620 * [misc]backup-simplify: Simplify (log 1) into 0 1544003502.621 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1544003502.621 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1544003502.621 * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) 1544003502.621 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1544003502.622 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003502.624 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1544003502.627 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544003502.627 * [misc]backup-simplify: Simplify (- 0) into 0 1544003502.627 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003502.627 * [misc]backup-simplify: Simplify 1 into 1 1544003502.639 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003502.643 * [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 1544003502.649 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544003502.650 * [misc]backup-simplify: Simplify (- 0) into 0 1544003502.650 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544003502.650 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544003502.650 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1544003502.650 * [misc]backup-simplify: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 1544003502.650 * [misc]approximate: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 1544003502.650 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1544003502.650 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1544003502.650 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1544003502.650 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003502.650 * [misc]taylor: Taking taylor expansion of N in N 1544003502.651 * [misc]backup-simplify: Simplify 0 into 0 1544003502.651 * [misc]backup-simplify: Simplify 1 into 1 1544003502.651 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003502.651 * [misc]taylor: Taking taylor expansion of 1 in N 1544003502.651 * [misc]backup-simplify: Simplify 1 into 1 1544003502.651 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003502.651 * [misc]backup-simplify: Simplify (log 1) into 0 1544003502.651 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1544003502.651 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003502.651 * [misc]taylor: Taking taylor expansion of N in N 1544003502.651 * [misc]backup-simplify: Simplify 0 into 0 1544003502.651 * [misc]backup-simplify: Simplify 1 into 1 1544003502.651 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003502.652 * [misc]backup-simplify: Simplify (log 1) into 0 1544003502.652 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1544003502.652 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1544003502.652 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1544003502.652 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003502.652 * [misc]taylor: Taking taylor expansion of N in N 1544003502.652 * [misc]backup-simplify: Simplify 0 into 0 1544003502.652 * [misc]backup-simplify: Simplify 1 into 1 1544003502.652 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003502.652 * [misc]taylor: Taking taylor expansion of 1 in N 1544003502.652 * [misc]backup-simplify: Simplify 1 into 1 1544003502.652 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003502.652 * [misc]backup-simplify: Simplify (log 1) into 0 1544003502.652 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1544003502.653 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003502.653 * [misc]taylor: Taking taylor expansion of N in N 1544003502.653 * [misc]backup-simplify: Simplify 0 into 0 1544003502.653 * [misc]backup-simplify: Simplify 1 into 1 1544003502.653 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003502.653 * [misc]backup-simplify: Simplify (log 1) into 0 1544003502.653 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1544003502.654 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1544003502.654 * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) 1544003502.654 * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 1544003502.654 * [misc]backup-simplify: Simplify 0 into 0 1544003502.654 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003502.654 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003502.657 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1544003502.658 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003502.660 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544003502.660 * [misc]backup-simplify: Simplify (- 0) into 0 1544003502.661 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003502.661 * [misc]backup-simplify: Simplify 1 into 1 1544003502.661 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003502.661 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003502.666 * [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 1544003502.666 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003502.670 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544003502.670 * [misc]backup-simplify: Simplify (- 0) into 0 1544003502.671 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544003502.671 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544003502.672 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003502.672 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003502.679 * [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 1544003502.679 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003502.685 * [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 1544003502.685 * [misc]backup-simplify: Simplify (- 0) into 0 1544003502.685 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003502.685 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003502.686 * [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)))) 1544003502.686 * [misc]backup-simplify: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 1544003502.686 * [misc]approximate: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 1544003502.686 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1544003502.686 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1544003502.686 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1544003502.686 * [misc]taylor: Taking taylor expansion of 1 in N 1544003502.686 * [misc]backup-simplify: Simplify 1 into 1 1544003502.686 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003502.686 * [misc]taylor: Taking taylor expansion of N in N 1544003502.686 * [misc]backup-simplify: Simplify 0 into 0 1544003502.686 * [misc]backup-simplify: Simplify 1 into 1 1544003502.686 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003502.687 * [misc]backup-simplify: Simplify (- 1) into -1 1544003502.687 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544003502.687 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544003502.687 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1544003502.687 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1544003502.687 * [misc]taylor: Taking taylor expansion of -1 in N 1544003502.687 * [misc]backup-simplify: Simplify -1 into -1 1544003502.687 * [misc]taylor: Taking taylor expansion of N in N 1544003502.687 * [misc]backup-simplify: Simplify 0 into 0 1544003502.687 * [misc]backup-simplify: Simplify 1 into 1 1544003502.687 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544003502.687 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544003502.687 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1544003502.687 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1544003502.687 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1544003502.687 * [misc]taylor: Taking taylor expansion of 1 in N 1544003502.687 * [misc]backup-simplify: Simplify 1 into 1 1544003502.687 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003502.687 * [misc]taylor: Taking taylor expansion of N in N 1544003502.688 * [misc]backup-simplify: Simplify 0 into 0 1544003502.688 * [misc]backup-simplify: Simplify 1 into 1 1544003502.688 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003502.688 * [misc]backup-simplify: Simplify (- 1) into -1 1544003502.688 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544003502.688 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544003502.688 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1544003502.688 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1544003502.688 * [misc]taylor: Taking taylor expansion of -1 in N 1544003502.688 * [misc]backup-simplify: Simplify -1 into -1 1544003502.688 * [misc]taylor: Taking taylor expansion of N in N 1544003502.688 * [misc]backup-simplify: Simplify 0 into 0 1544003502.688 * [misc]backup-simplify: Simplify 1 into 1 1544003502.688 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544003502.689 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544003502.689 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1544003502.689 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1544003502.689 * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1544003502.690 * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1544003502.690 * [misc]backup-simplify: Simplify 0 into 0 1544003502.690 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003502.690 * [misc]backup-simplify: Simplify (- 0) into 0 1544003502.690 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003502.693 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1544003502.693 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544003502.695 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1544003502.695 * [misc]backup-simplify: Simplify (- 0) into 0 1544003502.695 * [misc]backup-simplify: Simplify (+ -1 0) into -1 1544003502.695 * [misc]backup-simplify: Simplify -1 into -1 1544003502.696 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003502.696 * [misc]backup-simplify: Simplify (- 0) into 0 1544003502.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003502.700 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1544003502.700 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003502.704 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1544003502.704 * [misc]backup-simplify: Simplify (- 0) into 0 1544003502.704 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544003502.704 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544003502.705 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003502.705 * [misc]backup-simplify: Simplify (- 0) into 0 1544003502.705 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003502.711 * [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 1544003502.711 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003502.718 * [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 1544003502.718 * [misc]backup-simplify: Simplify (- 0) into 0 1544003502.718 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1544003502.718 * [misc]backup-simplify: Simplify -1/3 into -1/3 1544003502.718 * [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)))) 1544003502.718 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1544003502.719 * [misc]backup-simplify: Simplify (log (+ N 1)) into (log (+ N 1)) 1544003502.719 * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1544003502.719 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1544003502.719 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1544003502.719 * [misc]taylor: Taking taylor expansion of N in N 1544003502.719 * [misc]backup-simplify: Simplify 0 into 0 1544003502.719 * [misc]backup-simplify: Simplify 1 into 1 1544003502.719 * [misc]taylor: Taking taylor expansion of 1 in N 1544003502.719 * [misc]backup-simplify: Simplify 1 into 1 1544003502.719 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003502.719 * [misc]backup-simplify: Simplify (log 1) into 0 1544003502.719 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N 1544003502.719 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1544003502.719 * [misc]taylor: Taking taylor expansion of N in N 1544003502.719 * [misc]backup-simplify: Simplify 0 into 0 1544003502.719 * [misc]backup-simplify: Simplify 1 into 1 1544003502.719 * [misc]taylor: Taking taylor expansion of 1 in N 1544003502.719 * [misc]backup-simplify: Simplify 1 into 1 1544003502.719 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003502.720 * [misc]backup-simplify: Simplify (log 1) into 0 1544003502.720 * [misc]backup-simplify: Simplify 0 into 0 1544003502.720 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003502.723 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1544003502.723 * [misc]backup-simplify: Simplify 1 into 1 1544003502.723 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003502.727 * [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 1544003502.727 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544003502.728 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003502.734 * [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 1544003502.735 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003502.735 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1544003502.735 * [misc]backup-simplify: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 1544003502.735 * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1544003502.735 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1544003502.735 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1544003502.735 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003502.735 * [misc]taylor: Taking taylor expansion of N in N 1544003502.735 * [misc]backup-simplify: Simplify 0 into 0 1544003502.735 * [misc]backup-simplify: Simplify 1 into 1 1544003502.735 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003502.735 * [misc]taylor: Taking taylor expansion of 1 in N 1544003502.736 * [misc]backup-simplify: Simplify 1 into 1 1544003502.736 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003502.736 * [misc]backup-simplify: Simplify (log 1) into 0 1544003502.736 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1544003502.736 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1544003502.736 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003502.736 * [misc]taylor: Taking taylor expansion of N in N 1544003502.736 * [misc]backup-simplify: Simplify 0 into 0 1544003502.736 * [misc]backup-simplify: Simplify 1 into 1 1544003502.736 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003502.736 * [misc]taylor: Taking taylor expansion of 1 in N 1544003502.736 * [misc]backup-simplify: Simplify 1 into 1 1544003502.736 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003502.737 * [misc]backup-simplify: Simplify (log 1) into 0 1544003502.737 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1544003502.737 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1544003502.737 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003502.737 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003502.740 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1544003502.740 * [misc]backup-simplify: Simplify 1 into 1 1544003502.740 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003502.741 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003502.745 * [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 1544003502.745 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544003502.745 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 1544003502.745 * [misc]backup-simplify: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 1544003502.745 * [misc]approximate: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1544003502.745 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1544003502.745 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1544003502.745 * [misc]taylor: Taking taylor expansion of 1 in N 1544003502.745 * [misc]backup-simplify: Simplify 1 into 1 1544003502.745 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003502.745 * [misc]taylor: Taking taylor expansion of N in N 1544003502.745 * [misc]backup-simplify: Simplify 0 into 0 1544003502.745 * [misc]backup-simplify: Simplify 1 into 1 1544003502.746 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003502.746 * [misc]backup-simplify: Simplify (- 1) into -1 1544003502.746 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544003502.746 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544003502.746 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1544003502.746 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1544003502.746 * [misc]taylor: Taking taylor expansion of 1 in N 1544003502.746 * [misc]backup-simplify: Simplify 1 into 1 1544003502.746 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003502.746 * [misc]taylor: Taking taylor expansion of N in N 1544003502.746 * [misc]backup-simplify: Simplify 0 into 0 1544003502.746 * [misc]backup-simplify: Simplify 1 into 1 1544003502.746 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003502.747 * [misc]backup-simplify: Simplify (- 1) into -1 1544003502.747 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544003502.747 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544003502.747 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1544003502.747 * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1544003502.748 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003502.748 * [misc]backup-simplify: Simplify (- 0) into 0 1544003502.748 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003502.751 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1544003502.751 * [misc]backup-simplify: Simplify -1 into -1 1544003502.751 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003502.751 * [misc]backup-simplify: Simplify (- 0) into 0 1544003502.751 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003502.756 * [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 1544003502.756 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544003502.756 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 1544003502.756 * * * [misc]progress: simplifying candidates 1544003502.756 * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # 1544003502.757 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1544003502.757 * * [misc]simplify: iters left: 6 (10 enodes) 1544003502.760 * * [misc]simplify: iters left: 5 (22 enodes) 1544003502.767 * * [misc]simplify: iters left: 4 (30 enodes) 1544003502.777 * * [misc]simplify: iters left: 3 (38 enodes) 1544003502.784 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1544003502.784 * [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))))))) 1544003502.785 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1544003502.785 * * [misc]simplify: iters left: 6 (7 enodes) 1544003502.787 * * [misc]simplify: iters left: 5 (12 enodes) 1544003502.791 * * [misc]simplify: iters left: 4 (19 enodes) 1544003502.801 * * [misc]simplify: iters left: 3 (38 enodes) 1544003502.812 * * [misc]simplify: iters left: 2 (46 enodes) 1544003502.820 * [exit]simplify: Simplified to 0 1544003502.820 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1544003502.820 * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # 1544003502.820 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (sqrt (log N)) (sqrt (log N))))) 1544003502.820 * * [misc]simplify: iters left: 6 (9 enodes) 1544003502.823 * * [misc]simplify: iters left: 5 (17 enodes) 1544003502.828 * * [misc]simplify: iters left: 4 (22 enodes) 1544003502.835 * * [misc]simplify: iters left: 3 (28 enodes) 1544003502.841 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1544003502.841 * [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)))))) 1544003502.841 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1544003502.841 * * [misc]simplify: iters left: 5 (6 enodes) 1544003502.843 * * [misc]simplify: iters left: 4 (8 enodes) 1544003502.845 * * [misc]simplify: iters left: 3 (14 enodes) 1544003502.849 * * [misc]simplify: iters left: 2 (20 enodes) 1544003502.854 * * [misc]simplify: iters left: 1 (22 enodes) 1544003502.857 * [exit]simplify: Simplified to 0 1544003502.857 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1544003502.857 * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # 1544003502.858 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (log N) 1))) 1544003502.858 * * [misc]simplify: iters left: 6 (8 enodes) 1544003502.861 * * [misc]simplify: iters left: 5 (19 enodes) 1544003502.867 * * [misc]simplify: iters left: 4 (27 enodes) 1544003502.877 * * [misc]simplify: iters left: 3 (37 enodes) 1544003502.884 * * [misc]simplify: iters left: 2 (40 enodes) 1544003502.892 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1544003502.893 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1544003502.893 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1544003502.893 * * [misc]simplify: iters left: 4 (6 enodes) 1544003502.895 * * [misc]simplify: iters left: 3 (11 enodes) 1544003502.900 * * [misc]simplify: iters left: 2 (21 enodes) 1544003502.906 * * [misc]simplify: iters left: 1 (30 enodes) 1544003502.911 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1544003502.911 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1544003502.911 * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # 1544003502.912 * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1544003502.912 * * [misc]simplify: iters left: 6 (12 enodes) 1544003502.914 * * [misc]simplify: iters left: 5 (24 enodes) 1544003502.917 * * [misc]simplify: iters left: 4 (32 enodes) 1544003502.921 * * [misc]simplify: iters left: 3 (38 enodes) 1544003502.925 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1544003502.925 * [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))))))) 1544003502.925 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1544003502.925 * * [misc]simplify: iters left: 6 (7 enodes) 1544003502.926 * * [misc]simplify: iters left: 5 (12 enodes) 1544003502.928 * * [misc]simplify: iters left: 4 (19 enodes) 1544003502.932 * * [misc]simplify: iters left: 3 (38 enodes) 1544003502.937 * * [misc]simplify: iters left: 2 (46 enodes) 1544003502.941 * [exit]simplify: Simplified to 0 1544003502.941 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1544003502.941 * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # 1544003502.941 * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (sqrt (log N)) (sqrt (log N))))) 1544003502.941 * * [misc]simplify: iters left: 6 (11 enodes) 1544003502.943 * * [misc]simplify: iters left: 5 (19 enodes) 1544003502.945 * * [misc]simplify: iters left: 4 (24 enodes) 1544003502.948 * * [misc]simplify: iters left: 3 (29 enodes) 1544003502.952 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1544003502.952 * [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)))))) 1544003502.952 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1544003502.952 * * [misc]simplify: iters left: 5 (6 enodes) 1544003502.953 * * [misc]simplify: iters left: 4 (8 enodes) 1544003502.954 * * [misc]simplify: iters left: 3 (14 enodes) 1544003502.956 * * [misc]simplify: iters left: 2 (20 enodes) 1544003502.961 * * [misc]simplify: iters left: 1 (22 enodes) 1544003502.964 * [exit]simplify: Simplified to 0 1544003502.964 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1544003502.964 * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # 1544003502.964 * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (log N) 1))) 1544003502.964 * * [misc]simplify: iters left: 6 (10 enodes) 1544003502.968 * * [misc]simplify: iters left: 5 (21 enodes) 1544003502.975 * * [misc]simplify: iters left: 4 (29 enodes) 1544003502.985 * * [misc]simplify: iters left: 3 (40 enodes) 1544003502.992 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1544003502.992 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1544003502.992 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1544003502.993 * * [misc]simplify: iters left: 4 (6 enodes) 1544003502.994 * * [misc]simplify: iters left: 3 (11 enodes) 1544003502.997 * * [misc]simplify: iters left: 2 (21 enodes) 1544003503.000 * * [misc]simplify: iters left: 1 (30 enodes) 1544003503.003 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1544003503.003 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1544003503.003 * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # 1544003503.003 * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1544003503.003 * * [misc]simplify: iters left: 6 (11 enodes) 1544003503.005 * * [misc]simplify: iters left: 5 (23 enodes) 1544003503.008 * * [misc]simplify: iters left: 4 (30 enodes) 1544003503.012 * * [misc]simplify: iters left: 3 (35 enodes) 1544003503.015 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1544003503.015 * [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))))))) 1544003503.015 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1544003503.015 * * [misc]simplify: iters left: 6 (7 enodes) 1544003503.016 * * [misc]simplify: iters left: 5 (12 enodes) 1544003503.018 * * [misc]simplify: iters left: 4 (19 enodes) 1544003503.022 * * [misc]simplify: iters left: 3 (38 enodes) 1544003503.027 * * [misc]simplify: iters left: 2 (46 enodes) 1544003503.032 * [exit]simplify: Simplified to 0 1544003503.032 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1544003503.032 * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # 1544003503.033 * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (sqrt (log N)) (sqrt (log N))))) 1544003503.033 * * [misc]simplify: iters left: 6 (10 enodes) 1544003503.036 * * [misc]simplify: iters left: 5 (18 enodes) 1544003503.040 * * [misc]simplify: iters left: 4 (22 enodes) 1544003503.046 * * [misc]simplify: iters left: 3 (28 enodes) 1544003503.052 * * [misc]simplify: iters left: 2 (31 enodes) 1544003503.060 * * [misc]simplify: iters left: 1 (46 enodes) 1544003503.067 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1544003503.067 * [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)))))) 1544003503.067 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1544003503.067 * * [misc]simplify: iters left: 5 (6 enodes) 1544003503.068 * * [misc]simplify: iters left: 4 (8 enodes) 1544003503.069 * * [misc]simplify: iters left: 3 (14 enodes) 1544003503.071 * * [misc]simplify: iters left: 2 (20 enodes) 1544003503.073 * * [misc]simplify: iters left: 1 (22 enodes) 1544003503.075 * [exit]simplify: Simplified to 0 1544003503.075 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1544003503.075 * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # 1544003503.075 * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (log N) 1))) 1544003503.075 * * [misc]simplify: iters left: 6 (9 enodes) 1544003503.077 * * [misc]simplify: iters left: 5 (20 enodes) 1544003503.080 * * [misc]simplify: iters left: 4 (27 enodes) 1544003503.084 * * [misc]simplify: iters left: 3 (36 enodes) 1544003503.087 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1544003503.087 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1544003503.088 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1544003503.088 * * [misc]simplify: iters left: 4 (6 enodes) 1544003503.090 * * [misc]simplify: iters left: 3 (11 enodes) 1544003503.094 * * [misc]simplify: iters left: 2 (21 enodes) 1544003503.100 * * [misc]simplify: iters left: 1 (30 enodes) 1544003503.105 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1544003503.105 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1544003503.105 * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # 1544003503.105 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1544003503.106 * * [misc]simplify: iters left: 6 (10 enodes) 1544003503.109 * * [misc]simplify: iters left: 5 (22 enodes) 1544003503.115 * * [misc]simplify: iters left: 4 (30 enodes) 1544003503.124 * * [misc]simplify: iters left: 3 (38 enodes) 1544003503.131 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1544003503.132 * [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))))))) 1544003503.132 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1544003503.132 * * [misc]simplify: iters left: 6 (7 enodes) 1544003503.133 * * [misc]simplify: iters left: 5 (12 enodes) 1544003503.134 * * [misc]simplify: iters left: 4 (19 enodes) 1544003503.138 * * [misc]simplify: iters left: 3 (38 enodes) 1544003503.144 * * [misc]simplify: iters left: 2 (46 enodes) 1544003503.147 * [exit]simplify: Simplified to 0 1544003503.147 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1544003503.147 * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # 1544003503.147 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (sqrt (log N)) (sqrt (log N))))) 1544003503.147 * * [misc]simplify: iters left: 6 (9 enodes) 1544003503.149 * * [misc]simplify: iters left: 5 (17 enodes) 1544003503.151 * * [misc]simplify: iters left: 4 (22 enodes) 1544003503.154 * * [misc]simplify: iters left: 3 (28 enodes) 1544003503.158 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1544003503.159 * [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)))))) 1544003503.159 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1544003503.159 * * [misc]simplify: iters left: 5 (6 enodes) 1544003503.161 * * [misc]simplify: iters left: 4 (8 enodes) 1544003503.163 * * [misc]simplify: iters left: 3 (14 enodes) 1544003503.167 * * [misc]simplify: iters left: 2 (20 enodes) 1544003503.172 * * [misc]simplify: iters left: 1 (22 enodes) 1544003503.175 * [exit]simplify: Simplified to 0 1544003503.175 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1544003503.175 * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # 1544003503.175 * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (log N) 1))) 1544003503.176 * * [misc]simplify: iters left: 6 (8 enodes) 1544003503.179 * * [misc]simplify: iters left: 5 (19 enodes) 1544003503.185 * * [misc]simplify: iters left: 4 (27 enodes) 1544003503.193 * * [misc]simplify: iters left: 3 (37 enodes) 1544003503.197 * * [misc]simplify: iters left: 2 (40 enodes) 1544003503.201 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1544003503.201 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1544003503.201 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1544003503.201 * * [misc]simplify: iters left: 4 (6 enodes) 1544003503.202 * * [misc]simplify: iters left: 3 (11 enodes) 1544003503.204 * * [misc]simplify: iters left: 2 (21 enodes) 1544003503.207 * * [misc]simplify: iters left: 1 (30 enodes) 1544003503.210 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1544003503.210 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1544003503.210 * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # 1544003503.210 * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # 1544003503.210 * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # 1544003503.210 * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # 1544003503.210 * [enter]simplify: Simplifying (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) 1544003503.210 * * [misc]simplify: iters left: 6 (6 enodes) 1544003503.211 * * [misc]simplify: iters left: 5 (9 enodes) 1544003503.212 * * [misc]simplify: iters left: 4 (10 enodes) 1544003503.213 * [exit]simplify: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) 1544003503.213 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log (+ N 1))) (- (log N)))) 1544003503.213 * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # 1544003503.214 * [enter]simplify: Simplifying (sqrt (log (+ N 1))) 1544003503.214 * * [misc]simplify: iters left: 4 (5 enodes) 1544003503.214 * * [misc]simplify: iters left: 3 (8 enodes) 1544003503.215 * * [misc]simplify: iters left: 2 (9 enodes) 1544003503.216 * [exit]simplify: Simplified to (sqrt (log1p N)) 1544003503.216 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (sqrt (log1p N)) (sqrt (log (+ N 1))) (- (log N)))) 1544003503.216 * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # 1544003503.216 * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # 1544003503.217 * [enter]simplify: Simplifying (/ (+ N 1) N) 1544003503.217 * * [misc]simplify: iters left: 4 (4 enodes) 1544003503.217 * * [misc]simplify: iters left: 3 (7 enodes) 1544003503.218 * [exit]simplify: Simplified to (/ (+ 1 N) N) 1544003503.218 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) 1544003503.218 * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # 1544003503.218 * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # 1544003503.218 * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # 1544003503.218 * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # 1544003503.218 * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # 1544003503.218 * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # 1544003503.218 * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # 1544003503.218 * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # 1544003503.218 * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # 1544003503.218 * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # 1544003503.218 * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # 1544003503.219 * [enter]simplify: Simplifying (+ (sqrt (log (+ N 1))) (sqrt (log N))) 1544003503.219 * * [misc]simplify: iters left: 6 (8 enodes) 1544003503.221 * * [misc]simplify: iters left: 5 (12 enodes) 1544003503.224 * * [misc]simplify: iters left: 4 (13 enodes) 1544003503.228 * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log1p N))) 1544003503.228 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log (+ N 1))) (sqrt (log N))))) 1544003503.228 * [enter]simplify: Simplifying (- (sqrt (log (+ N 1))) (sqrt (log N))) 1544003503.228 * * [misc]simplify: iters left: 6 (8 enodes) 1544003503.231 * * [misc]simplify: iters left: 5 (13 enodes) 1544003503.234 * * [misc]simplify: iters left: 4 (15 enodes) 1544003503.237 * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) 1544003503.237 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log1p N)) (sqrt (log N))))) 1544003503.237 * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # 1544003503.237 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1544003503.238 * * [misc]simplify: iters left: 5 (6 enodes) 1544003503.239 * * [misc]simplify: iters left: 4 (11 enodes) 1544003503.242 * * [misc]simplify: iters left: 3 (13 enodes) 1544003503.245 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1544003503.245 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) 1544003503.245 * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # 1544003503.245 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1544003503.245 * * [misc]simplify: iters left: 5 (6 enodes) 1544003503.247 * * [misc]simplify: iters left: 4 (11 enodes) 1544003503.251 * * [misc]simplify: iters left: 3 (13 enodes) 1544003503.254 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1544003503.254 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) 1544003503.254 * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # 1544003503.254 * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1544003503.254 * * [misc]simplify: iters left: 6 (6 enodes) 1544003503.256 * * [misc]simplify: iters left: 5 (11 enodes) 1544003503.257 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1544003503.257 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (- (log (cbrt (+ N 1))) (log N)))) 1544003503.257 * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # 1544003503.257 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1544003503.257 * * [misc]simplify: iters left: 4 (5 enodes) 1544003503.258 * * [misc]simplify: iters left: 3 (8 enodes) 1544003503.259 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1544003503.259 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (+ 1 N))) (- (log (sqrt (+ N 1))) (log N)))) 1544003503.259 * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # 1544003503.259 * [enter]simplify: Simplifying (log 1) 1544003503.259 * * [misc]simplify: iters left: 1 (2 enodes) 1544003503.260 * [exit]simplify: Simplified to 0 1544003503.260 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (- (log (+ N 1)) (log N)))) 1544003503.260 * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # 1544003503.260 * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) 1544003503.261 * * [misc]simplify: iters left: 4 (7 enodes) 1544003503.262 * * [misc]simplify: iters left: 3 (15 enodes) 1544003503.264 * * [misc]simplify: iters left: 2 (18 enodes) 1544003503.266 * [exit]simplify: Simplified to (log1p (pow N 3)) 1544003503.266 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log1p (pow N 3)) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)))) 1544003503.266 * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # 1544003503.266 * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) 1544003503.266 * * [misc]simplify: iters left: 5 (6 enodes) 1544003503.268 * * [misc]simplify: iters left: 4 (13 enodes) 1544003503.270 * * [misc]simplify: iters left: 3 (20 enodes) 1544003503.272 * * [misc]simplify: iters left: 2 (27 enodes) 1544003503.274 * * [misc]simplify: iters left: 1 (45 enodes) 1544003503.288 * [exit]simplify: Simplified to (log (fma N N -1)) 1544003503.288 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (fma N N -1)) (+ (log (- N 1)) (log N)))) 1544003503.288 * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # 1544003503.288 * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # 1544003503.288 * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # 1544003503.288 * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # 1544003503.289 * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1544003503.289 * * [misc]simplify: iters left: 6 (6 enodes) 1544003503.291 * * [misc]simplify: iters left: 5 (11 enodes) 1544003503.293 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1544003503.293 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ N 1)))) (log N))) 1544003503.294 * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # 1544003503.294 * [enter]simplify: Simplifying (log (sqrt (+ N 1))) 1544003503.294 * * [misc]simplify: iters left: 4 (5 enodes) 1544003503.295 * * [misc]simplify: iters left: 3 (8 enodes) 1544003503.297 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) 1544003503.297 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (sqrt (+ 1 N))) (log (sqrt (+ N 1)))) (log N))) 1544003503.297 * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # 1544003503.298 * [enter]simplify: Simplifying (log 1) 1544003503.298 * * [misc]simplify: iters left: 1 (2 enodes) 1544003503.299 * [exit]simplify: Simplified to 0 1544003503.299 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ 0 (log (+ N 1))) (log N))) 1544003503.299 * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # 1544003503.299 * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) 1544003503.299 * * [misc]simplify: iters left: 4 (7 enodes) 1544003503.302 * * [misc]simplify: iters left: 3 (15 enodes) 1544003503.304 * * [misc]simplify: iters left: 2 (18 enodes) 1544003503.306 * [exit]simplify: Simplified to (log1p (pow N 3)) 1544003503.306 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log1p (pow N 3)) (log (+ (* N N) (- (* 1 1) (* N 1))))) (log N))) 1544003503.306 * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # 1544003503.306 * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) 1544003503.306 * * [misc]simplify: iters left: 5 (6 enodes) 1544003503.308 * * [misc]simplify: iters left: 4 (13 enodes) 1544003503.310 * * [misc]simplify: iters left: 3 (20 enodes) 1544003503.312 * * [misc]simplify: iters left: 2 (27 enodes) 1544003503.314 * * [misc]simplify: iters left: 1 (45 enodes) 1544003503.324 * [exit]simplify: Simplified to (log (fma N N -1)) 1544003503.324 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (fma N N -1)) (log (- N 1))) (log N))) 1544003503.324 * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # 1544003503.324 * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # 1544003503.324 * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # 1544003503.324 * [enter]simplify: Simplifying (+ N 1) 1544003503.324 * * [misc]simplify: iters left: 2 (3 enodes) 1544003503.325 * * [misc]simplify: iters left: 1 (6 enodes) 1544003503.326 * [exit]simplify: Simplified to (+ 1 N) 1544003503.326 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (log (+ 1 N)) (log N))) 1544003503.326 * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # 1544003503.326 * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # 1544003503.326 * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # 1544003503.326 * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # 1544003503.326 * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # 1544003503.326 * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # 1544003503.326 * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # 1544003503.326 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1544003503.326 * * [misc]simplify: iters left: 6 (8 enodes) 1544003503.327 * * [misc]simplify: iters left: 5 (15 enodes) 1544003503.329 * * [misc]simplify: iters left: 4 (29 enodes) 1544003503.334 * * [misc]simplify: iters left: 3 (55 enodes) 1544003503.345 * * [misc]simplify: iters left: 2 (104 enodes) 1544003503.371 * * [misc]simplify: iters left: 1 (143 enodes) 1544003503.426 * [exit]simplify: Simplified to (fma (* N -1/2) N (- N (log N))) 1544003503.426 * [misc]simplify: Simplified (2) to (λ (N) (fma (* N -1/2) N (- N (log N)))) 1544003503.426 * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # 1544003503.427 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1544003503.427 * * [misc]simplify: iters left: 6 (15 enodes) 1544003503.434 * * [misc]simplify: iters left: 5 (32 enodes) 1544003503.448 * * [misc]simplify: iters left: 4 (61 enodes) 1544003503.462 * * [misc]simplify: iters left: 3 (103 enodes) 1544003503.484 * * [misc]simplify: iters left: 2 (168 enodes) 1544003503.522 * * [misc]simplify: iters left: 1 (248 enodes) 1544003503.606 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1544003503.606 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1544003503.606 * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # 1544003503.607 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1544003503.607 * * [misc]simplify: iters left: 6 (15 enodes) 1544003503.610 * * [misc]simplify: iters left: 5 (32 enodes) 1544003503.616 * * [misc]simplify: iters left: 4 (61 enodes) 1544003503.627 * * [misc]simplify: iters left: 3 (103 enodes) 1544003503.651 * * [misc]simplify: iters left: 2 (168 enodes) 1544003503.682 * * [misc]simplify: iters left: 1 (248 enodes) 1544003503.788 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1544003503.788 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1544003503.788 * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # 1544003503.788 * [enter]simplify: Simplifying (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1544003503.788 * * [misc]simplify: iters left: 6 (11 enodes) 1544003503.790 * * [misc]simplify: iters left: 5 (21 enodes) 1544003503.797 * * [misc]simplify: iters left: 4 (55 enodes) 1544003503.819 * * [misc]simplify: iters left: 3 (107 enodes) 1544003503.843 * * [misc]simplify: iters left: 2 (184 enodes) 1544003503.880 * * [misc]simplify: iters left: 1 (247 enodes) 1544003504.091 * [exit]simplify: Simplified to (fma (* N N) (fma N 1/3 -1/2) N) 1544003504.091 * [misc]simplify: Simplified (2 1) to (λ (N) (- (fma (* N N) (fma N 1/3 -1/2) N) (log N))) 1544003504.091 * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # 1544003504.091 * [enter]simplify: Simplifying (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 1544003504.091 * * [misc]simplify: iters left: 6 (11 enodes) 1544003504.095 * * [misc]simplify: iters left: 5 (27 enodes) 1544003504.099 * * [misc]simplify: iters left: 4 (40 enodes) 1544003504.106 * * [misc]simplify: iters left: 3 (81 enodes) 1544003504.131 * * [misc]simplify: iters left: 2 (176 enodes) 1544003504.180 * * [misc]simplify: iters left: 1 (289 enodes) 1544003504.313 * [exit]simplify: Simplified to (fma (/ (/ 1 N) N) -1/2 (+ (/ 1 N) (log N))) 1544003504.313 * [misc]simplify: Simplified (2 1) to (λ (N) (- (fma (/ (/ 1 N) N) -1/2 (+ (/ 1 N) (log N))) (log N))) 1544003504.313 * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # 1544003504.313 * [enter]simplify: Simplifying (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 1544003504.313 * * [misc]simplify: iters left: 6 (15 enodes) 1544003504.316 * * [misc]simplify: iters left: 5 (32 enodes) 1544003504.322 * * [misc]simplify: iters left: 4 (66 enodes) 1544003504.337 * * [misc]simplify: iters left: 3 (161 enodes) 1544003504.404 * * [misc]simplify: iters left: 2 (416 enodes) 1544003504.647 * [exit]simplify: Simplified to (fma (/ (/ 1 N) N) -1/2 (+ (log N) (/ 1 N))) 1544003504.647 * [misc]simplify: Simplified (2 1) to (λ (N) (- (fma (/ (/ 1 N) N) -1/2 (+ (log N) (/ 1 N))) (log N))) 1544003504.647 * * * [misc]progress: adding candidates to table 1544003505.224 * * [misc]progress: iteration 2 / 4 1544003505.224 * * * [misc]progress: picking best candidate 1544003505.236 * * * * [misc]pick: Picked # 1544003505.236 * * * [misc]progress: localizing error 1544003505.266 * * * [misc]progress: generating rewritten candidates 1544003505.266 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) 1544003505.268 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) 1544003505.269 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1544003505.269 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1544003505.272 * * * [misc]progress: generating series expansions 1544003505.272 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) 1544003505.273 * [misc]backup-simplify: Simplify (/ 1 (* N N)) into (/ 1 (pow N 2)) 1544003505.273 * [misc]approximate: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 1544003505.273 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1544003505.273 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003505.273 * [misc]taylor: Taking taylor expansion of N in N 1544003505.273 * [misc]backup-simplify: Simplify 0 into 0 1544003505.273 * [misc]backup-simplify: Simplify 1 into 1 1544003505.273 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003505.273 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003505.273 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1544003505.273 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003505.273 * [misc]taylor: Taking taylor expansion of N in N 1544003505.273 * [misc]backup-simplify: Simplify 0 into 0 1544003505.273 * [misc]backup-simplify: Simplify 1 into 1 1544003505.273 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003505.273 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003505.273 * [misc]backup-simplify: Simplify 1 into 1 1544003505.274 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003505.274 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003505.274 * [misc]backup-simplify: Simplify 0 into 0 1544003505.277 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544003505.277 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.277 * [misc]backup-simplify: Simplify 0 into 0 1544003505.277 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1544003505.278 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.278 * [misc]backup-simplify: Simplify 0 into 0 1544003505.278 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1544003505.278 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.278 * [misc]backup-simplify: Simplify 0 into 0 1544003505.278 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1544003505.279 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.279 * [misc]backup-simplify: Simplify 0 into 0 1544003505.279 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1544003505.279 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.279 * [misc]backup-simplify: Simplify 0 into 0 1544003505.279 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 1544003505.279 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 N) (/ 1 N))) into (pow N 2) 1544003505.279 * [misc]approximate: Taking taylor expansion of (pow N 2) in (N) around 0 1544003505.279 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003505.280 * [misc]taylor: Taking taylor expansion of N in N 1544003505.280 * [misc]backup-simplify: Simplify 0 into 0 1544003505.280 * [misc]backup-simplify: Simplify 1 into 1 1544003505.280 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003505.280 * [misc]taylor: Taking taylor expansion of N in N 1544003505.280 * [misc]backup-simplify: Simplify 0 into 0 1544003505.280 * [misc]backup-simplify: Simplify 1 into 1 1544003505.280 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003505.280 * [misc]backup-simplify: Simplify 1 into 1 1544003505.280 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003505.280 * [misc]backup-simplify: Simplify 0 into 0 1544003505.280 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544003505.280 * [misc]backup-simplify: Simplify 0 into 0 1544003505.280 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1544003505.280 * [misc]backup-simplify: Simplify 0 into 0 1544003505.281 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1544003505.281 * [misc]backup-simplify: Simplify 0 into 0 1544003505.281 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1544003505.281 * [misc]backup-simplify: Simplify 0 into 0 1544003505.281 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1544003505.281 * [misc]backup-simplify: Simplify 0 into 0 1544003505.281 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 1544003505.281 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) into (pow N 2) 1544003505.281 * [misc]approximate: Taking taylor expansion of (pow N 2) in (N) around 0 1544003505.281 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003505.281 * [misc]taylor: Taking taylor expansion of N in N 1544003505.281 * [misc]backup-simplify: Simplify 0 into 0 1544003505.281 * [misc]backup-simplify: Simplify 1 into 1 1544003505.281 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003505.281 * [misc]taylor: Taking taylor expansion of N in N 1544003505.281 * [misc]backup-simplify: Simplify 0 into 0 1544003505.282 * [misc]backup-simplify: Simplify 1 into 1 1544003505.282 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003505.282 * [misc]backup-simplify: Simplify 1 into 1 1544003505.282 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003505.282 * [misc]backup-simplify: Simplify 0 into 0 1544003505.282 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544003505.282 * [misc]backup-simplify: Simplify 0 into 0 1544003505.282 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1544003505.282 * [misc]backup-simplify: Simplify 0 into 0 1544003505.282 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1544003505.282 * [misc]backup-simplify: Simplify 0 into 0 1544003505.283 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1544003505.283 * [misc]backup-simplify: Simplify 0 into 0 1544003505.283 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1544003505.283 * [misc]backup-simplify: Simplify 0 into 0 1544003505.283 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 1544003505.283 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) 1544003505.283 * [misc]backup-simplify: Simplify (/ 1/3 N) into (/ 1/3 N) 1544003505.283 * [misc]approximate: Taking taylor expansion of (/ 1/3 N) in (N) around 0 1544003505.283 * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N 1544003505.283 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003505.283 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.283 * [misc]taylor: Taking taylor expansion of N in N 1544003505.283 * [misc]backup-simplify: Simplify 0 into 0 1544003505.283 * [misc]backup-simplify: Simplify 1 into 1 1544003505.284 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 1544003505.284 * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N 1544003505.284 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003505.284 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.284 * [misc]taylor: Taking taylor expansion of N in N 1544003505.284 * [misc]backup-simplify: Simplify 0 into 0 1544003505.284 * [misc]backup-simplify: Simplify 1 into 1 1544003505.284 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 1544003505.284 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.284 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 1544003505.284 * [misc]backup-simplify: Simplify 0 into 0 1544003505.284 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.284 * [misc]backup-simplify: Simplify 0 into 0 1544003505.284 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.285 * [misc]backup-simplify: Simplify 0 into 0 1544003505.285 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.285 * [misc]backup-simplify: Simplify 0 into 0 1544003505.285 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.285 * [misc]backup-simplify: Simplify 0 into 0 1544003505.285 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.285 * [misc]backup-simplify: Simplify 0 into 0 1544003505.285 * [misc]backup-simplify: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 1544003505.286 * [misc]backup-simplify: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 1544003505.286 * [misc]approximate: Taking taylor expansion of (* 1/3 N) in (N) around 0 1544003505.286 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003505.286 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003505.286 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.286 * [misc]taylor: Taking taylor expansion of N in N 1544003505.286 * [misc]backup-simplify: Simplify 0 into 0 1544003505.286 * [misc]backup-simplify: Simplify 1 into 1 1544003505.286 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003505.286 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003505.286 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.286 * [misc]taylor: Taking taylor expansion of N in N 1544003505.286 * [misc]backup-simplify: Simplify 0 into 0 1544003505.286 * [misc]backup-simplify: Simplify 1 into 1 1544003505.286 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1544003505.286 * [misc]backup-simplify: Simplify 0 into 0 1544003505.286 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1544003505.286 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.286 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 1544003505.286 * [misc]backup-simplify: Simplify 0 into 0 1544003505.286 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544003505.286 * [misc]backup-simplify: Simplify 0 into 0 1544003505.287 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1544003505.287 * [misc]backup-simplify: Simplify 0 into 0 1544003505.287 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1544003505.287 * [misc]backup-simplify: Simplify 0 into 0 1544003505.287 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1544003505.287 * [misc]backup-simplify: Simplify 0 into 0 1544003505.288 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1544003505.288 * [misc]backup-simplify: Simplify 0 into 0 1544003505.288 * [misc]backup-simplify: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 1544003505.288 * [misc]backup-simplify: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 1544003505.288 * [misc]approximate: Taking taylor expansion of (* -1/3 N) in (N) around 0 1544003505.288 * [misc]taylor: Taking taylor expansion of (* -1/3 N) in N 1544003505.288 * [misc]taylor: Taking taylor expansion of -1/3 in N 1544003505.288 * [misc]backup-simplify: Simplify -1/3 into -1/3 1544003505.288 * [misc]taylor: Taking taylor expansion of N in N 1544003505.288 * [misc]backup-simplify: Simplify 0 into 0 1544003505.288 * [misc]backup-simplify: Simplify 1 into 1 1544003505.288 * [misc]taylor: Taking taylor expansion of (* -1/3 N) in N 1544003505.288 * [misc]taylor: Taking taylor expansion of -1/3 in N 1544003505.288 * [misc]backup-simplify: Simplify -1/3 into -1/3 1544003505.288 * [misc]taylor: Taking taylor expansion of N in N 1544003505.288 * [misc]backup-simplify: Simplify 0 into 0 1544003505.288 * [misc]backup-simplify: Simplify 1 into 1 1544003505.288 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 1544003505.288 * [misc]backup-simplify: Simplify 0 into 0 1544003505.288 * [misc]backup-simplify: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 1544003505.288 * [misc]backup-simplify: Simplify -1/3 into -1/3 1544003505.289 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 1544003505.289 * [misc]backup-simplify: Simplify 0 into 0 1544003505.289 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544003505.289 * [misc]backup-simplify: Simplify 0 into 0 1544003505.289 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1544003505.289 * [misc]backup-simplify: Simplify 0 into 0 1544003505.289 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1544003505.289 * [misc]backup-simplify: Simplify 0 into 0 1544003505.290 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1544003505.290 * [misc]backup-simplify: Simplify 0 into 0 1544003505.290 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1544003505.290 * [misc]backup-simplify: Simplify 0 into 0 1544003505.290 * [misc]backup-simplify: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 1544003505.290 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1544003505.290 * [misc]backup-simplify: Simplify (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) into (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 1544003505.290 * [misc]approximate: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in (N) around 0 1544003505.290 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1544003505.290 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1544003505.290 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1544003505.290 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1544003505.290 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003505.290 * [misc]taylor: Taking taylor expansion of N in N 1544003505.290 * [misc]backup-simplify: Simplify 0 into 0 1544003505.290 * [misc]backup-simplify: Simplify 1 into 1 1544003505.290 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003505.291 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003505.291 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1544003505.291 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1544003505.291 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003505.291 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.291 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003505.291 * [misc]taylor: Taking taylor expansion of N in N 1544003505.291 * [misc]backup-simplify: Simplify 0 into 0 1544003505.291 * [misc]backup-simplify: Simplify 1 into 1 1544003505.291 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003505.291 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003505.291 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003505.291 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003505.291 * [misc]taylor: Taking taylor expansion of N in N 1544003505.291 * [misc]backup-simplify: Simplify 0 into 0 1544003505.291 * [misc]backup-simplify: Simplify 1 into 1 1544003505.291 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003505.291 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1544003505.291 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1544003505.291 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1544003505.291 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1544003505.291 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003505.291 * [misc]taylor: Taking taylor expansion of N in N 1544003505.291 * [misc]backup-simplify: Simplify 0 into 0 1544003505.291 * [misc]backup-simplify: Simplify 1 into 1 1544003505.291 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003505.291 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003505.292 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1544003505.292 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1544003505.292 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003505.292 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.292 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003505.292 * [misc]taylor: Taking taylor expansion of N in N 1544003505.292 * [misc]backup-simplify: Simplify 0 into 0 1544003505.292 * [misc]backup-simplify: Simplify 1 into 1 1544003505.292 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003505.292 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003505.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003505.292 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003505.292 * [misc]taylor: Taking taylor expansion of N in N 1544003505.292 * [misc]backup-simplify: Simplify 0 into 0 1544003505.292 * [misc]backup-simplify: Simplify 1 into 1 1544003505.292 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003505.292 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 1544003505.293 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003505.293 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 1544003505.293 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003505.293 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.293 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003505.293 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1544003505.294 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544003505.294 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544003505.294 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003505.294 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003505.294 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2 1544003505.295 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544003505.295 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544003505.295 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.295 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1544003505.295 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.296 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.296 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544003505.296 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.296 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0 1544003505.297 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003505.297 * [misc]backup-simplify: Simplify 1 into 1 1544003505.297 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1544003505.297 * [misc]backup-simplify: Simplify (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) into (fma (pow N 2) (- (* 1/3 N) 1/2) N) 1544003505.297 * [misc]approximate: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in (N) around 0 1544003505.298 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1544003505.298 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1544003505.298 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1544003505.298 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003505.298 * [misc]taylor: Taking taylor expansion of N in N 1544003505.298 * [misc]backup-simplify: Simplify 0 into 0 1544003505.298 * [misc]backup-simplify: Simplify 1 into 1 1544003505.298 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1544003505.298 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003505.298 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003505.298 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.298 * [misc]taylor: Taking taylor expansion of N in N 1544003505.298 * [misc]backup-simplify: Simplify 0 into 0 1544003505.298 * [misc]backup-simplify: Simplify 1 into 1 1544003505.298 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003505.298 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003505.298 * [misc]taylor: Taking taylor expansion of N in N 1544003505.298 * [misc]backup-simplify: Simplify 0 into 0 1544003505.298 * [misc]backup-simplify: Simplify 1 into 1 1544003505.298 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1544003505.298 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1544003505.298 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1544003505.298 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003505.298 * [misc]taylor: Taking taylor expansion of N in N 1544003505.298 * [misc]backup-simplify: Simplify 0 into 0 1544003505.298 * [misc]backup-simplify: Simplify 1 into 1 1544003505.298 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1544003505.298 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003505.298 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003505.298 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.298 * [misc]taylor: Taking taylor expansion of N in N 1544003505.298 * [misc]backup-simplify: Simplify 0 into 0 1544003505.299 * [misc]backup-simplify: Simplify 1 into 1 1544003505.299 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003505.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003505.299 * [misc]taylor: Taking taylor expansion of N in N 1544003505.299 * [misc]backup-simplify: Simplify 0 into 0 1544003505.299 * [misc]backup-simplify: Simplify 1 into 1 1544003505.299 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.299 * [misc]backup-simplify: Simplify 0 into 0 1544003505.299 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003505.299 * [misc]backup-simplify: Simplify 1 into 1 1544003505.299 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003505.299 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1544003505.300 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544003505.300 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544003505.300 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1544003505.300 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544003505.300 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544003505.300 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1544003505.301 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.301 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003505.301 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003505.301 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 1544003505.301 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003505.301 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.302 * [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)))) 1544003505.302 * [misc]backup-simplify: Simplify (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) into (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 1544003505.302 * [misc]approximate: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in (N) around 0 1544003505.302 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1544003505.302 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1544003505.302 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1544003505.302 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003505.302 * [misc]taylor: Taking taylor expansion of N in N 1544003505.302 * [misc]backup-simplify: Simplify 0 into 0 1544003505.302 * [misc]backup-simplify: Simplify 1 into 1 1544003505.302 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1544003505.302 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1544003505.302 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003505.302 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003505.303 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.303 * [misc]taylor: Taking taylor expansion of N in N 1544003505.303 * [misc]backup-simplify: Simplify 0 into 0 1544003505.303 * [misc]backup-simplify: Simplify 1 into 1 1544003505.303 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003505.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003505.303 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1544003505.303 * [misc]taylor: Taking taylor expansion of -1 in N 1544003505.303 * [misc]backup-simplify: Simplify -1 into -1 1544003505.303 * [misc]taylor: Taking taylor expansion of N in N 1544003505.303 * [misc]backup-simplify: Simplify 0 into 0 1544003505.303 * [misc]backup-simplify: Simplify 1 into 1 1544003505.303 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1544003505.303 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1544003505.303 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1544003505.303 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003505.303 * [misc]taylor: Taking taylor expansion of N in N 1544003505.303 * [misc]backup-simplify: Simplify 0 into 0 1544003505.303 * [misc]backup-simplify: Simplify 1 into 1 1544003505.303 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1544003505.303 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1544003505.303 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003505.303 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003505.303 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.303 * [misc]taylor: Taking taylor expansion of N in N 1544003505.303 * [misc]backup-simplify: Simplify 0 into 0 1544003505.303 * [misc]backup-simplify: Simplify 1 into 1 1544003505.303 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003505.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003505.303 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1544003505.303 * [misc]taylor: Taking taylor expansion of -1 in N 1544003505.303 * [misc]backup-simplify: Simplify -1 into -1 1544003505.303 * [misc]taylor: Taking taylor expansion of N in N 1544003505.304 * [misc]backup-simplify: Simplify 0 into 0 1544003505.304 * [misc]backup-simplify: Simplify 1 into 1 1544003505.304 * [misc]backup-simplify: Simplify (* -1 0) into 0 1544003505.304 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.304 * [misc]backup-simplify: Simplify 0 into 0 1544003505.304 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 1544003505.304 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544003505.304 * [misc]backup-simplify: Simplify -1 into -1 1544003505.305 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003505.305 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1544003505.305 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544003505.305 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544003505.305 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1544003505.305 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1544003505.306 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544003505.306 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544003505.306 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1544003505.306 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003505.306 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 1544003505.306 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003505.307 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544003505.307 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 1544003505.307 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544003505.307 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1544003505.307 * [misc]backup-simplify: Simplify -1/3 into -1/3 1544003505.308 * [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)))) 1544003505.308 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1544003505.308 * [misc]backup-simplify: Simplify (- (/ 1/3 N) 1/2) into (- (* 1/3 (/ 1 N)) 1/2) 1544003505.308 * [misc]approximate: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in (N) around 0 1544003505.308 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1544003505.308 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1544003505.308 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003505.308 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.308 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003505.308 * [misc]taylor: Taking taylor expansion of N in N 1544003505.308 * [misc]backup-simplify: Simplify 0 into 0 1544003505.308 * [misc]backup-simplify: Simplify 1 into 1 1544003505.308 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003505.308 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003505.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003505.309 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1544003505.309 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1544003505.309 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003505.309 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.309 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003505.309 * [misc]taylor: Taking taylor expansion of N in N 1544003505.309 * [misc]backup-simplify: Simplify 0 into 0 1544003505.309 * [misc]backup-simplify: Simplify 1 into 1 1544003505.309 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003505.309 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003505.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003505.309 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 1544003505.309 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003505.309 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.310 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003505.310 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1544003505.310 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544003505.310 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544003505.310 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544003505.310 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.311 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1544003505.311 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.311 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.311 * [misc]backup-simplify: Simplify 0 into 0 1544003505.311 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.312 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1544003505.312 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.312 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.312 * [misc]backup-simplify: Simplify 0 into 0 1544003505.313 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.313 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1544003505.313 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.314 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.314 * [misc]backup-simplify: Simplify 0 into 0 1544003505.314 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.315 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1544003505.315 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.315 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.315 * [misc]backup-simplify: Simplify 0 into 0 1544003505.316 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003505.316 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1544003505.316 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.316 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.316 * [misc]backup-simplify: Simplify 0 into 0 1544003505.317 * [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 1544003505.318 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1544003505.318 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.318 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.318 * [misc]backup-simplify: Simplify 0 into 0 1544003505.318 * [misc]backup-simplify: Simplify (+ -1/2 (* 1/3 (/ 1 N))) into (- (* 1/3 (/ 1 N)) 1/2) 1544003505.318 * [misc]backup-simplify: Simplify (- (/ 1/3 (/ 1 N)) 1/2) into (- (* 1/3 N) 1/2) 1544003505.318 * [misc]approximate: Taking taylor expansion of (- (* 1/3 N) 1/2) in (N) around 0 1544003505.318 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1544003505.318 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003505.318 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003505.318 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.318 * [misc]taylor: Taking taylor expansion of N in N 1544003505.318 * [misc]backup-simplify: Simplify 0 into 0 1544003505.318 * [misc]backup-simplify: Simplify 1 into 1 1544003505.319 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003505.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003505.319 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1544003505.319 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003505.319 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003505.319 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.319 * [misc]taylor: Taking taylor expansion of N in N 1544003505.319 * [misc]backup-simplify: Simplify 0 into 0 1544003505.319 * [misc]backup-simplify: Simplify 1 into 1 1544003505.319 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003505.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003505.319 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1544003505.319 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544003505.319 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544003505.319 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544003505.320 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1544003505.320 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.320 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003505.320 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.320 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 1544003505.320 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.321 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.321 * [misc]backup-simplify: Simplify 0 into 0 1544003505.321 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544003505.321 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.321 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.321 * [misc]backup-simplify: Simplify 0 into 0 1544003505.322 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1544003505.322 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.322 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.322 * [misc]backup-simplify: Simplify 0 into 0 1544003505.323 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1544003505.323 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.323 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.323 * [misc]backup-simplify: Simplify 0 into 0 1544003505.323 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1544003505.324 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.324 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.324 * [misc]backup-simplify: Simplify 0 into 0 1544003505.324 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1544003505.325 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.325 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.325 * [misc]backup-simplify: Simplify 0 into 0 1544003505.325 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 N)) -1/2) into (- (* 1/3 (/ 1 N)) 1/2) 1544003505.325 * [misc]backup-simplify: Simplify (- (/ 1/3 (/ 1 (- N))) 1/2) into (- (+ (* 1/3 N) 1/2)) 1544003505.325 * [misc]approximate: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in (N) around 0 1544003505.325 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1544003505.325 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1544003505.325 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003505.325 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003505.325 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.325 * [misc]taylor: Taking taylor expansion of N in N 1544003505.325 * [misc]backup-simplify: Simplify 0 into 0 1544003505.325 * [misc]backup-simplify: Simplify 1 into 1 1544003505.325 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003505.325 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003505.326 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1544003505.326 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1544003505.326 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003505.326 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003505.326 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003505.326 * [misc]taylor: Taking taylor expansion of N in N 1544003505.326 * [misc]backup-simplify: Simplify 0 into 0 1544003505.326 * [misc]backup-simplify: Simplify 1 into 1 1544003505.326 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003505.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003505.326 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1544003505.326 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544003505.326 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544003505.326 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544003505.327 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1544003505.327 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003505.327 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 1544003505.327 * [misc]backup-simplify: Simplify -1/3 into -1/3 1544003505.327 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 1544003505.327 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.328 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.328 * [misc]backup-simplify: Simplify 0 into 0 1544003505.328 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544003505.328 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.328 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.328 * [misc]backup-simplify: Simplify 0 into 0 1544003505.329 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1544003505.329 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.329 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.329 * [misc]backup-simplify: Simplify 0 into 0 1544003505.330 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1544003505.330 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.330 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.330 * [misc]backup-simplify: Simplify 0 into 0 1544003505.330 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1544003505.331 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.331 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.331 * [misc]backup-simplify: Simplify 0 into 0 1544003505.331 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1544003505.332 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003505.332 * [misc]backup-simplify: Simplify (- 0) into 0 1544003505.332 * [misc]backup-simplify: Simplify 0 into 0 1544003505.332 * [misc]backup-simplify: Simplify (+ (* -1/3 (/ 1 (- N))) -1/2) into (- (* 1/3 (/ 1 N)) 1/2) 1544003505.332 * * * [misc]progress: simplifying candidates 1544003505.332 * * * * [misc]progress: [ 1 / 68 ] simplifiying candidate # 1544003505.332 * * * * [misc]progress: [ 2 / 68 ] simplifiying candidate # 1544003505.332 * * * * [misc]progress: [ 3 / 68 ] simplifiying candidate # 1544003505.332 * * * * [misc]progress: [ 4 / 68 ] simplifiying candidate # 1544003505.333 * [enter]simplify: Simplifying (- 2) 1544003505.333 * * [misc]simplify: iters left: 2 (2 enodes) 1544003505.334 * * [misc]simplify: iters left: 1 (3 enodes) 1544003505.335 * [exit]simplify: Simplified to -2 1544003505.335 * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (pow N -2) (- (/ 1/3 N) 1/2) (/ 1 N))) 1544003505.335 * * * * [misc]progress: [ 5 / 68 ] simplifiying candidate # 1544003505.335 * [enter]simplify: Simplifying (- 1) 1544003505.335 * * [misc]simplify: iters left: 2 (2 enodes) 1544003505.336 * * [misc]simplify: iters left: 1 (5 enodes) 1544003505.337 * [exit]simplify: Simplified to -1 1544003505.337 * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (pow (* N N) -1) (- (/ 1/3 N) 1/2) (/ 1 N))) 1544003505.337 * * * * [misc]progress: [ 6 / 68 ] simplifiying candidate # 1544003505.337 * * * * [misc]progress: [ 7 / 68 ] simplifiying candidate # 1544003505.337 * * * * [misc]progress: [ 8 / 68 ] simplifiying candidate # 1544003505.337 * * * * [misc]progress: [ 9 / 68 ] simplifiying candidate # 1544003505.337 * * * * [misc]progress: [ 10 / 68 ] simplifiying candidate # 1544003505.338 * * * * [misc]progress: [ 11 / 68 ] simplifiying candidate # 1544003505.338 * * * * [misc]progress: [ 12 / 68 ] simplifiying candidate # 1544003505.338 * * * * [misc]progress: [ 13 / 68 ] simplifiying candidate # 1544003505.338 * * * * [misc]progress: [ 14 / 68 ] simplifiying candidate # 1544003505.338 * * * * [misc]progress: [ 15 / 68 ] simplifiying candidate # 1544003505.338 * * * * [misc]progress: [ 16 / 68 ] simplifiying candidate # 1544003505.338 * * * * [misc]progress: [ 17 / 68 ] simplifiying candidate # 1544003505.338 * * * * [misc]progress: [ 18 / 68 ] simplifiying candidate # 1544003505.338 * * * * [misc]progress: [ 19 / 68 ] simplifiying candidate # 1544003505.338 * * * * [misc]progress: [ 20 / 68 ] simplifiying candidate # 1544003505.338 * * * * [misc]progress: [ 21 / 68 ] simplifiying candidate # 1544003505.338 * * * * [misc]progress: [ 22 / 68 ] simplifiying candidate # 1544003505.338 * * * * [misc]progress: [ 23 / 68 ] simplifiying candidate # 1544003505.338 * * * * [misc]progress: [ 24 / 68 ] simplifiying candidate # 1544003505.338 * * * * [misc]progress: [ 25 / 68 ] simplifiying candidate # 1544003505.338 * * * * [misc]progress: [ 26 / 68 ] simplifiying candidate # 1544003505.339 * * * * [misc]progress: [ 27 / 68 ] simplifiying candidate # 1544003505.339 * * * * [misc]progress: [ 28 / 68 ] simplifiying candidate # 1544003505.339 * * * * [misc]progress: [ 29 / 68 ] simplifiying candidate # 1544003505.339 * * * * [misc]progress: [ 30 / 68 ] simplifiying candidate # 1544003505.339 * * * * [misc]progress: [ 31 / 68 ] simplifiying candidate # 1544003505.339 * * * * [misc]progress: [ 32 / 68 ] simplifiying candidate # 1544003505.339 * * * * [misc]progress: [ 33 / 68 ] simplifiying candidate # 1544003505.339 * * * * [misc]progress: [ 34 / 68 ] simplifiying candidate # 1544003505.339 * * * * [misc]progress: [ 35 / 68 ] simplifiying candidate # 1544003505.339 * * * * [misc]progress: [ 36 / 68 ] simplifiying candidate # 1544003505.339 * * * * [misc]progress: [ 37 / 68 ] simplifiying candidate # 1544003505.339 * * * * [misc]progress: [ 38 / 68 ] simplifiying candidate # 1544003505.339 * * * * [misc]progress: [ 39 / 68 ] simplifiying candidate # 1544003505.339 * * * * [misc]progress: [ 40 / 68 ] simplifiying candidate # 1544003505.339 * * * * [misc]progress: [ 41 / 68 ] simplifiying candidate # 1544003505.339 * * * * [misc]progress: [ 42 / 68 ] simplifiying candidate # 1544003505.340 * [enter]simplify: Simplifying (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) 1544003505.340 * * [misc]simplify: iters left: 5 (5 enodes) 1544003505.342 * [exit]simplify: Simplified to (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) 1544003505.342 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (fma (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (- 1/2)) (/ 1 N))) 1544003505.342 * * * * [misc]progress: [ 43 / 68 ] simplifiying candidate # 1544003505.342 * [enter]simplify: Simplifying (sqrt (/ 1/3 N)) 1544003505.342 * * [misc]simplify: iters left: 3 (4 enodes) 1544003505.343 * [exit]simplify: Simplified to (sqrt (/ 1/3 N)) 1544003505.343 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (fma (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- 1/2)) (/ 1 N))) 1544003505.343 * * * * [misc]progress: [ 44 / 68 ] simplifiying candidate # 1544003505.343 * * * * [misc]progress: [ 45 / 68 ] simplifiying candidate # 1544003505.343 * * * * [misc]progress: [ 46 / 68 ] simplifiying candidate # 1544003505.343 * * * * [misc]progress: [ 47 / 68 ] simplifiying candidate # 1544003505.344 * * * * [misc]progress: [ 48 / 68 ] simplifiying candidate # 1544003505.344 * * * * [misc]progress: [ 49 / 68 ] simplifiying candidate # 1544003505.344 * * * * [misc]progress: [ 50 / 68 ] simplifiying candidate # 1544003505.344 * * * * [misc]progress: [ 51 / 68 ] simplifiying candidate # 1544003505.344 * * * * [misc]progress: [ 52 / 68 ] simplifiying candidate # 1544003505.344 * * * * [misc]progress: [ 53 / 68 ] simplifiying candidate # 1544003505.344 * * * * [misc]progress: [ 54 / 68 ] simplifiying candidate # 1544003505.344 * * * * [misc]progress: [ 55 / 68 ] simplifiying candidate # 1544003505.344 * * * * [misc]progress: [ 56 / 68 ] simplifiying candidate # 1544003505.344 * * * * [misc]progress: [ 57 / 68 ] simplifiying candidate # 1544003505.344 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1544003505.344 * * [misc]simplify: iters left: 3 (5 enodes) 1544003505.346 * * [misc]simplify: iters left: 2 (8 enodes) 1544003505.348 * * [misc]simplify: iters left: 1 (10 enodes) 1544003505.351 * [exit]simplify: Simplified to (/ 1 (* N N)) 1544003505.351 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1544003505.351 * * * * [misc]progress: [ 58 / 68 ] simplifiying candidate # 1544003505.351 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1544003505.351 * * [misc]simplify: iters left: 3 (5 enodes) 1544003505.353 * * [misc]simplify: iters left: 2 (8 enodes) 1544003505.355 * * [misc]simplify: iters left: 1 (10 enodes) 1544003505.358 * [exit]simplify: Simplified to (/ 1 (* N N)) 1544003505.358 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1544003505.358 * * * * [misc]progress: [ 59 / 68 ] simplifiying candidate # 1544003505.359 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1544003505.359 * * [misc]simplify: iters left: 3 (5 enodes) 1544003505.360 * * [misc]simplify: iters left: 2 (8 enodes) 1544003505.363 * * [misc]simplify: iters left: 1 (10 enodes) 1544003505.366 * [exit]simplify: Simplified to (/ 1 (* N N)) 1544003505.366 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1544003505.366 * * * * [misc]progress: [ 60 / 68 ] simplifiying candidate # 1544003505.366 * [enter]simplify: Simplifying (/ 1/3 N) 1544003505.366 * * [misc]simplify: iters left: 2 (3 enodes) 1544003505.367 * [exit]simplify: Simplified to (/ 1/3 N) 1544003505.367 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1544003505.367 * * * * [misc]progress: [ 61 / 68 ] simplifiying candidate # 1544003505.367 * [enter]simplify: Simplifying (/ 1/3 N) 1544003505.367 * * [misc]simplify: iters left: 2 (3 enodes) 1544003505.368 * [exit]simplify: Simplified to (/ 1/3 N) 1544003505.368 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1544003505.368 * * * * [misc]progress: [ 62 / 68 ] simplifiying candidate # 1544003505.369 * [enter]simplify: Simplifying (/ 1/3 N) 1544003505.369 * * [misc]simplify: iters left: 2 (3 enodes) 1544003505.370 * [exit]simplify: Simplified to (/ 1/3 N) 1544003505.370 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1544003505.370 * * * * [misc]progress: [ 63 / 68 ] simplifiying candidate # 1544003505.370 * [enter]simplify: Simplifying (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1544003505.370 * * [misc]simplify: iters left: 6 (15 enodes) 1544003505.377 * * [misc]simplify: iters left: 5 (31 enodes) 1544003505.390 * * [misc]simplify: iters left: 4 (61 enodes) 1544003505.412 * * [misc]simplify: iters left: 3 (105 enodes) 1544003505.461 * * [misc]simplify: iters left: 2 (172 enodes) 1544003505.504 * * [misc]simplify: iters left: 1 (230 enodes) 1544003505.554 * [exit]simplify: Simplified to (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)) 1544003505.554 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) 1544003505.555 * * * * [misc]progress: [ 64 / 68 ] simplifiying candidate # 1544003505.555 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1544003505.555 * * [misc]simplify: iters left: 6 (15 enodes) 1544003505.562 * * [misc]simplify: iters left: 5 (32 enodes) 1544003505.576 * * [misc]simplify: iters left: 4 (61 enodes) 1544003505.598 * * [misc]simplify: iters left: 3 (103 enodes) 1544003505.630 * * [misc]simplify: iters left: 2 (168 enodes) 1544003505.672 * * [misc]simplify: iters left: 1 (248 enodes) 1544003505.765 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1544003505.765 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1544003505.765 * * * * [misc]progress: [ 65 / 68 ] simplifiying candidate # 1544003505.766 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1544003505.766 * * [misc]simplify: iters left: 6 (15 enodes) 1544003505.769 * * [misc]simplify: iters left: 5 (32 enodes) 1544003505.778 * * [misc]simplify: iters left: 4 (61 enodes) 1544003505.800 * * [misc]simplify: iters left: 3 (103 enodes) 1544003505.842 * * [misc]simplify: iters left: 2 (168 enodes) 1544003505.893 * * [misc]simplify: iters left: 1 (248 enodes) 1544003505.971 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1544003505.971 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1544003505.971 * * * * [misc]progress: [ 66 / 68 ] simplifiying candidate # 1544003505.971 * [enter]simplify: Simplifying (- (* 1/3 (/ 1 N)) 1/2) 1544003505.971 * * [misc]simplify: iters left: 6 (7 enodes) 1544003505.973 * * [misc]simplify: iters left: 5 (16 enodes) 1544003505.976 * * [misc]simplify: iters left: 4 (20 enodes) 1544003505.978 * * [misc]simplify: iters left: 3 (24 enodes) 1544003505.981 * * [misc]simplify: iters left: 2 (28 enodes) 1544003505.984 * * [misc]simplify: iters left: 1 (32 enodes) 1544003505.987 * [exit]simplify: Simplified to (+ (/ 1/3 N) -1/2) 1544003505.987 * [misc]simplify: Simplified (2 2) to (λ (N) (fma (/ 1 (* N N)) (+ (/ 1/3 N) -1/2) (/ 1 N))) 1544003505.987 * * * * [misc]progress: [ 67 / 68 ] simplifiying candidate # 1544003505.987 * [enter]simplify: Simplifying (- (* 1/3 (/ 1 N)) 1/2) 1544003505.987 * * [misc]simplify: iters left: 6 (7 enodes) 1544003505.991 * * [misc]simplify: iters left: 5 (16 enodes) 1544003505.993 * * [misc]simplify: iters left: 4 (20 enodes) 1544003505.996 * * [misc]simplify: iters left: 3 (24 enodes) 1544003505.999 * * [misc]simplify: iters left: 2 (28 enodes) 1544003506.001 * * [misc]simplify: iters left: 1 (32 enodes) 1544003506.004 * [exit]simplify: Simplified to (+ (/ 1/3 N) -1/2) 1544003506.005 * [misc]simplify: Simplified (2 2) to (λ (N) (fma (/ 1 (* N N)) (+ (/ 1/3 N) -1/2) (/ 1 N))) 1544003506.005 * * * * [misc]progress: [ 68 / 68 ] simplifiying candidate # 1544003506.005 * [enter]simplify: Simplifying (- (* 1/3 (/ 1 N)) 1/2) 1544003506.005 * * [misc]simplify: iters left: 6 (7 enodes) 1544003506.008 * * [misc]simplify: iters left: 5 (16 enodes) 1544003506.013 * * [misc]simplify: iters left: 4 (20 enodes) 1544003506.018 * * [misc]simplify: iters left: 3 (24 enodes) 1544003506.023 * * [misc]simplify: iters left: 2 (28 enodes) 1544003506.028 * * [misc]simplify: iters left: 1 (32 enodes) 1544003506.034 * [exit]simplify: Simplified to (+ (/ 1/3 N) -1/2) 1544003506.034 * [misc]simplify: Simplified (2 2) to (λ (N) (fma (/ 1 (* N N)) (+ (/ 1/3 N) -1/2) (/ 1 N))) 1544003506.034 * * * [misc]progress: adding candidates to table 1544003506.628 * * [misc]progress: iteration 3 / 4 1544003506.628 * * * [misc]progress: picking best candidate 1544003506.648 * * * * [misc]pick: Picked # 1544003506.649 * * * [misc]progress: localizing error 1544003506.658 * * * [misc]progress: generating rewritten candidates 1544003506.659 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1544003506.660 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1544003506.660 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) 1544003506.663 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) 1544003506.666 * * * [misc]progress: generating series expansions 1544003506.666 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1544003506.666 * [misc]backup-simplify: Simplify (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) into (sqrt (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) 1544003506.666 * [misc]approximate: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in (N) around 0 1544003506.666 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in N 1544003506.666 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1544003506.666 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1544003506.666 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1544003506.666 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1544003506.666 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.666 * [misc]taylor: Taking taylor expansion of N in N 1544003506.666 * [misc]backup-simplify: Simplify 0 into 0 1544003506.666 * [misc]backup-simplify: Simplify 1 into 1 1544003506.666 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003506.667 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003506.667 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1544003506.667 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1544003506.667 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003506.667 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003506.667 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003506.667 * [misc]taylor: Taking taylor expansion of N in N 1544003506.667 * [misc]backup-simplify: Simplify 0 into 0 1544003506.667 * [misc]backup-simplify: Simplify 1 into 1 1544003506.667 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003506.667 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003506.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003506.667 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003506.667 * [misc]taylor: Taking taylor expansion of N in N 1544003506.667 * [misc]backup-simplify: Simplify 0 into 0 1544003506.667 * [misc]backup-simplify: Simplify 1 into 1 1544003506.667 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003506.667 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 1544003506.667 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003506.667 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 1544003506.667 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003506.668 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544003506.668 * [misc]backup-simplify: Simplify (/ 1/3 (* 2 (sqrt 0))) into +nan.0 1544003506.668 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in N 1544003506.668 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1544003506.668 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1544003506.668 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1544003506.668 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1544003506.668 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.668 * [misc]taylor: Taking taylor expansion of N in N 1544003506.668 * [misc]backup-simplify: Simplify 0 into 0 1544003506.668 * [misc]backup-simplify: Simplify 1 into 1 1544003506.668 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003506.668 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003506.668 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1544003506.668 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1544003506.668 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003506.668 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003506.668 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003506.668 * [misc]taylor: Taking taylor expansion of N in N 1544003506.669 * [misc]backup-simplify: Simplify 0 into 0 1544003506.669 * [misc]backup-simplify: Simplify 1 into 1 1544003506.669 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003506.669 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003506.669 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003506.669 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003506.669 * [misc]taylor: Taking taylor expansion of N in N 1544003506.669 * [misc]backup-simplify: Simplify 0 into 0 1544003506.669 * [misc]backup-simplify: Simplify 1 into 1 1544003506.669 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003506.669 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 1544003506.669 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003506.669 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 1544003506.669 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003506.669 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544003506.670 * [misc]backup-simplify: Simplify (/ 1/3 (* 2 (sqrt 0))) into +nan.0 1544003506.670 * [misc]backup-simplify: Simplify 0 into 0 1544003506.670 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.670 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003506.670 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1544003506.670 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544003506.670 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544003506.670 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003506.671 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003506.671 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2 1544003506.671 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544003506.671 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544003506.672 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.674 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003506.674 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1544003506.674 * [misc]backup-simplify: Simplify (- 0) into 0 1544003506.674 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003506.674 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544003506.675 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003506.675 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0 1544003506.675 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003506.676 * [misc]backup-simplify: Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544003506.676 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.676 * [misc]backup-simplify: Simplify (+ (* +nan.0 N) (+ +nan.0 (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 1544003506.676 * [misc]backup-simplify: Simplify (sqrt (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) into (sqrt (fma (pow N 2) (- (* 1/3 N) 1/2) N)) 1544003506.676 * [misc]approximate: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in (N) around 0 1544003506.676 * [misc]taylor: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in N 1544003506.676 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1544003506.676 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1544003506.676 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1544003506.676 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.676 * [misc]taylor: Taking taylor expansion of N in N 1544003506.676 * [misc]backup-simplify: Simplify 0 into 0 1544003506.676 * [misc]backup-simplify: Simplify 1 into 1 1544003506.676 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1544003506.676 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003506.676 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003506.676 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003506.676 * [misc]taylor: Taking taylor expansion of N in N 1544003506.676 * [misc]backup-simplify: Simplify 0 into 0 1544003506.676 * [misc]backup-simplify: Simplify 1 into 1 1544003506.676 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003506.676 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003506.676 * [misc]taylor: Taking taylor expansion of N in N 1544003506.676 * [misc]backup-simplify: Simplify 0 into 0 1544003506.676 * [misc]backup-simplify: Simplify 1 into 1 1544003506.677 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003506.677 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003506.677 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544003506.677 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544003506.677 * [misc]taylor: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in N 1544003506.677 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1544003506.677 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1544003506.677 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1544003506.677 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.677 * [misc]taylor: Taking taylor expansion of N in N 1544003506.677 * [misc]backup-simplify: Simplify 0 into 0 1544003506.677 * [misc]backup-simplify: Simplify 1 into 1 1544003506.677 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1544003506.677 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003506.677 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003506.677 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003506.677 * [misc]taylor: Taking taylor expansion of N in N 1544003506.677 * [misc]backup-simplify: Simplify 0 into 0 1544003506.677 * [misc]backup-simplify: Simplify 1 into 1 1544003506.677 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003506.677 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003506.677 * [misc]taylor: Taking taylor expansion of N in N 1544003506.678 * [misc]backup-simplify: Simplify 0 into 0 1544003506.678 * [misc]backup-simplify: Simplify 1 into 1 1544003506.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003506.678 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003506.678 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544003506.678 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544003506.678 * [misc]backup-simplify: Simplify 0 into 0 1544003506.678 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.678 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003506.678 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1544003506.679 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544003506.679 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544003506.679 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1544003506.679 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544003506.680 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544003506.680 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.680 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1544003506.680 * [misc]backup-simplify: Simplify (- 0) into 0 1544003506.680 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003506.680 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003506.680 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 1544003506.680 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003506.681 * [misc]backup-simplify: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544003506.681 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.681 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 N) 3)) (+ (* +nan.0 (pow (/ 1 N) 2)) (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 1544003506.682 * [misc]backup-simplify: Simplify (sqrt (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) into (sqrt (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) 1544003506.682 * [misc]approximate: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in (N) around 0 1544003506.682 * [misc]taylor: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in N 1544003506.682 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1544003506.682 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1544003506.682 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1544003506.682 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.682 * [misc]taylor: Taking taylor expansion of N in N 1544003506.682 * [misc]backup-simplify: Simplify 0 into 0 1544003506.682 * [misc]backup-simplify: Simplify 1 into 1 1544003506.682 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1544003506.682 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1544003506.682 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003506.682 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003506.682 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003506.682 * [misc]taylor: Taking taylor expansion of N in N 1544003506.682 * [misc]backup-simplify: Simplify 0 into 0 1544003506.682 * [misc]backup-simplify: Simplify 1 into 1 1544003506.682 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003506.682 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003506.682 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1544003506.682 * [misc]taylor: Taking taylor expansion of -1 in N 1544003506.682 * [misc]backup-simplify: Simplify -1 into -1 1544003506.682 * [misc]taylor: Taking taylor expansion of N in N 1544003506.682 * [misc]backup-simplify: Simplify 0 into 0 1544003506.682 * [misc]backup-simplify: Simplify 1 into 1 1544003506.682 * [misc]backup-simplify: Simplify (* -1 0) into 0 1544003506.682 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003506.682 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 1544003506.683 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544003506.683 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544003506.683 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544003506.683 * [misc]taylor: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in N 1544003506.683 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1544003506.683 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1544003506.683 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1544003506.683 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.683 * [misc]taylor: Taking taylor expansion of N in N 1544003506.683 * [misc]backup-simplify: Simplify 0 into 0 1544003506.683 * [misc]backup-simplify: Simplify 1 into 1 1544003506.683 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1544003506.683 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1544003506.683 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003506.683 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003506.683 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003506.683 * [misc]taylor: Taking taylor expansion of N in N 1544003506.683 * [misc]backup-simplify: Simplify 0 into 0 1544003506.683 * [misc]backup-simplify: Simplify 1 into 1 1544003506.683 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003506.683 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003506.683 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1544003506.683 * [misc]taylor: Taking taylor expansion of -1 in N 1544003506.683 * [misc]backup-simplify: Simplify -1 into -1 1544003506.683 * [misc]taylor: Taking taylor expansion of N in N 1544003506.683 * [misc]backup-simplify: Simplify 0 into 0 1544003506.683 * [misc]backup-simplify: Simplify 1 into 1 1544003506.684 * [misc]backup-simplify: Simplify (* -1 0) into 0 1544003506.684 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003506.684 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 1544003506.684 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544003506.684 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544003506.685 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544003506.685 * [misc]backup-simplify: Simplify 0 into 0 1544003506.685 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.685 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003506.685 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1544003506.685 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544003506.685 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544003506.686 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1544003506.686 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1544003506.686 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544003506.687 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544003506.687 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.687 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1544003506.687 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003506.688 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 1544003506.688 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003506.688 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544003506.688 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 1544003506.688 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544003506.689 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1544003506.690 * [misc]backup-simplify: Simplify (/ (- -1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544003506.690 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.690 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 3)) (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (* +nan.0 (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 1544003506.690 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1544003506.691 * [misc]backup-simplify: Simplify (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) into (sqrt (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) 1544003506.691 * [misc]approximate: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in (N) around 0 1544003506.691 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in N 1544003506.691 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1544003506.691 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1544003506.691 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1544003506.691 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1544003506.691 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.691 * [misc]taylor: Taking taylor expansion of N in N 1544003506.691 * [misc]backup-simplify: Simplify 0 into 0 1544003506.691 * [misc]backup-simplify: Simplify 1 into 1 1544003506.691 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003506.691 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003506.691 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1544003506.692 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1544003506.692 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003506.692 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003506.692 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003506.692 * [misc]taylor: Taking taylor expansion of N in N 1544003506.692 * [misc]backup-simplify: Simplify 0 into 0 1544003506.692 * [misc]backup-simplify: Simplify 1 into 1 1544003506.692 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003506.692 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003506.692 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003506.692 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003506.692 * [misc]taylor: Taking taylor expansion of N in N 1544003506.692 * [misc]backup-simplify: Simplify 0 into 0 1544003506.692 * [misc]backup-simplify: Simplify 1 into 1 1544003506.692 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003506.693 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 1544003506.693 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003506.693 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 1544003506.693 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003506.693 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544003506.694 * [misc]backup-simplify: Simplify (/ 1/3 (* 2 (sqrt 0))) into +nan.0 1544003506.694 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in N 1544003506.694 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1544003506.694 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1544003506.694 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1544003506.694 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1544003506.694 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.694 * [misc]taylor: Taking taylor expansion of N in N 1544003506.694 * [misc]backup-simplify: Simplify 0 into 0 1544003506.694 * [misc]backup-simplify: Simplify 1 into 1 1544003506.694 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003506.694 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003506.694 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1544003506.694 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1544003506.695 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003506.695 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003506.695 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003506.695 * [misc]taylor: Taking taylor expansion of N in N 1544003506.695 * [misc]backup-simplify: Simplify 0 into 0 1544003506.695 * [misc]backup-simplify: Simplify 1 into 1 1544003506.695 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003506.695 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003506.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003506.695 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003506.695 * [misc]taylor: Taking taylor expansion of N in N 1544003506.695 * [misc]backup-simplify: Simplify 0 into 0 1544003506.695 * [misc]backup-simplify: Simplify 1 into 1 1544003506.695 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003506.695 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 1544003506.695 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003506.696 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 1544003506.696 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003506.696 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544003506.696 * [misc]backup-simplify: Simplify (/ 1/3 (* 2 (sqrt 0))) into +nan.0 1544003506.696 * [misc]backup-simplify: Simplify 0 into 0 1544003506.696 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.697 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003506.697 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1544003506.697 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544003506.697 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544003506.697 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003506.697 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003506.698 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2 1544003506.698 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544003506.699 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544003506.699 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.699 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003506.699 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1544003506.700 * [misc]backup-simplify: Simplify (- 0) into 0 1544003506.700 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003506.700 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544003506.700 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003506.700 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0 1544003506.701 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003506.702 * [misc]backup-simplify: Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544003506.702 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.702 * [misc]backup-simplify: Simplify (+ (* +nan.0 N) (+ +nan.0 (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 1544003506.702 * [misc]backup-simplify: Simplify (sqrt (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) into (sqrt (fma (pow N 2) (- (* 1/3 N) 1/2) N)) 1544003506.702 * [misc]approximate: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in (N) around 0 1544003506.702 * [misc]taylor: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in N 1544003506.702 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1544003506.702 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1544003506.702 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1544003506.702 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.702 * [misc]taylor: Taking taylor expansion of N in N 1544003506.703 * [misc]backup-simplify: Simplify 0 into 0 1544003506.703 * [misc]backup-simplify: Simplify 1 into 1 1544003506.703 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1544003506.703 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003506.703 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003506.703 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003506.703 * [misc]taylor: Taking taylor expansion of N in N 1544003506.703 * [misc]backup-simplify: Simplify 0 into 0 1544003506.703 * [misc]backup-simplify: Simplify 1 into 1 1544003506.703 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003506.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003506.703 * [misc]taylor: Taking taylor expansion of N in N 1544003506.703 * [misc]backup-simplify: Simplify 0 into 0 1544003506.703 * [misc]backup-simplify: Simplify 1 into 1 1544003506.703 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003506.703 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003506.703 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544003506.704 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544003506.704 * [misc]taylor: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in N 1544003506.704 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1544003506.704 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1544003506.704 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1544003506.704 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.704 * [misc]taylor: Taking taylor expansion of N in N 1544003506.704 * [misc]backup-simplify: Simplify 0 into 0 1544003506.704 * [misc]backup-simplify: Simplify 1 into 1 1544003506.704 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1544003506.704 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003506.704 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003506.704 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003506.704 * [misc]taylor: Taking taylor expansion of N in N 1544003506.704 * [misc]backup-simplify: Simplify 0 into 0 1544003506.704 * [misc]backup-simplify: Simplify 1 into 1 1544003506.704 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003506.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003506.704 * [misc]taylor: Taking taylor expansion of N in N 1544003506.704 * [misc]backup-simplify: Simplify 0 into 0 1544003506.704 * [misc]backup-simplify: Simplify 1 into 1 1544003506.704 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003506.705 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003506.705 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544003506.705 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544003506.705 * [misc]backup-simplify: Simplify 0 into 0 1544003506.705 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.705 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003506.706 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1544003506.706 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544003506.706 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544003506.706 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1544003506.706 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544003506.707 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544003506.707 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.708 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1544003506.708 * [misc]backup-simplify: Simplify (- 0) into 0 1544003506.708 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003506.708 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003506.708 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 1544003506.708 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003506.709 * [misc]backup-simplify: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544003506.710 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.710 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 N) 3)) (+ (* +nan.0 (pow (/ 1 N) 2)) (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 1544003506.710 * [misc]backup-simplify: Simplify (sqrt (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) into (sqrt (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) 1544003506.710 * [misc]approximate: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in (N) around 0 1544003506.710 * [misc]taylor: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in N 1544003506.710 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1544003506.710 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1544003506.710 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1544003506.711 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.711 * [misc]taylor: Taking taylor expansion of N in N 1544003506.711 * [misc]backup-simplify: Simplify 0 into 0 1544003506.711 * [misc]backup-simplify: Simplify 1 into 1 1544003506.711 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1544003506.711 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1544003506.711 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003506.711 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003506.711 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003506.711 * [misc]taylor: Taking taylor expansion of N in N 1544003506.711 * [misc]backup-simplify: Simplify 0 into 0 1544003506.711 * [misc]backup-simplify: Simplify 1 into 1 1544003506.711 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003506.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003506.711 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1544003506.711 * [misc]taylor: Taking taylor expansion of -1 in N 1544003506.711 * [misc]backup-simplify: Simplify -1 into -1 1544003506.711 * [misc]taylor: Taking taylor expansion of N in N 1544003506.711 * [misc]backup-simplify: Simplify 0 into 0 1544003506.711 * [misc]backup-simplify: Simplify 1 into 1 1544003506.711 * [misc]backup-simplify: Simplify (* -1 0) into 0 1544003506.711 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003506.712 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 1544003506.712 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544003506.712 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544003506.712 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544003506.712 * [misc]taylor: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in N 1544003506.712 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1544003506.713 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1544003506.713 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1544003506.713 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.713 * [misc]taylor: Taking taylor expansion of N in N 1544003506.713 * [misc]backup-simplify: Simplify 0 into 0 1544003506.713 * [misc]backup-simplify: Simplify 1 into 1 1544003506.713 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1544003506.713 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1544003506.713 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1544003506.713 * [misc]taylor: Taking taylor expansion of 1/3 in N 1544003506.713 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003506.713 * [misc]taylor: Taking taylor expansion of N in N 1544003506.713 * [misc]backup-simplify: Simplify 0 into 0 1544003506.713 * [misc]backup-simplify: Simplify 1 into 1 1544003506.713 * [misc]taylor: Taking taylor expansion of 1/2 in N 1544003506.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544003506.713 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1544003506.713 * [misc]taylor: Taking taylor expansion of -1 in N 1544003506.713 * [misc]backup-simplify: Simplify -1 into -1 1544003506.713 * [misc]taylor: Taking taylor expansion of N in N 1544003506.713 * [misc]backup-simplify: Simplify 0 into 0 1544003506.713 * [misc]backup-simplify: Simplify 1 into 1 1544003506.713 * [misc]backup-simplify: Simplify (* -1 0) into 0 1544003506.713 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003506.714 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 1544003506.714 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544003506.714 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544003506.714 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544003506.714 * [misc]backup-simplify: Simplify 0 into 0 1544003506.714 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.714 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003506.715 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1544003506.715 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544003506.715 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544003506.715 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1544003506.715 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1544003506.715 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544003506.716 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544003506.717 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.717 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1544003506.717 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1544003506.717 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 1544003506.717 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003506.717 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544003506.718 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 1544003506.718 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544003506.718 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1544003506.719 * [misc]backup-simplify: Simplify (/ (- -1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544003506.719 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544003506.720 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 3)) (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (* +nan.0 (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 1544003506.720 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) 1544003506.720 * [misc]backup-simplify: Simplify (/ 1 (* N N)) into (/ 1 (pow N 2)) 1544003506.720 * [misc]approximate: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 1544003506.720 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1544003506.720 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.720 * [misc]taylor: Taking taylor expansion of N in N 1544003506.720 * [misc]backup-simplify: Simplify 0 into 0 1544003506.720 * [misc]backup-simplify: Simplify 1 into 1 1544003506.720 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003506.721 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003506.721 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1544003506.721 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.721 * [misc]taylor: Taking taylor expansion of N in N 1544003506.721 * [misc]backup-simplify: Simplify 0 into 0 1544003506.721 * [misc]backup-simplify: Simplify 1 into 1 1544003506.721 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003506.721 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003506.721 * [misc]backup-simplify: Simplify 1 into 1 1544003506.721 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003506.722 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003506.722 * [misc]backup-simplify: Simplify 0 into 0 1544003506.722 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544003506.722 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003506.722 * [misc]backup-simplify: Simplify 0 into 0 1544003506.723 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1544003506.723 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003506.723 * [misc]backup-simplify: Simplify 0 into 0 1544003506.723 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1544003506.724 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003506.724 * [misc]backup-simplify: Simplify 0 into 0 1544003506.724 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1544003506.725 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003506.725 * [misc]backup-simplify: Simplify 0 into 0 1544003506.725 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1544003506.725 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003506.726 * [misc]backup-simplify: Simplify 0 into 0 1544003506.726 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 1544003506.726 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 N) (/ 1 N))) into (pow N 2) 1544003506.726 * [misc]approximate: Taking taylor expansion of (pow N 2) in (N) around 0 1544003506.726 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.726 * [misc]taylor: Taking taylor expansion of N in N 1544003506.726 * [misc]backup-simplify: Simplify 0 into 0 1544003506.726 * [misc]backup-simplify: Simplify 1 into 1 1544003506.726 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.726 * [misc]taylor: Taking taylor expansion of N in N 1544003506.726 * [misc]backup-simplify: Simplify 0 into 0 1544003506.726 * [misc]backup-simplify: Simplify 1 into 1 1544003506.726 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003506.726 * [misc]backup-simplify: Simplify 1 into 1 1544003506.726 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003506.727 * [misc]backup-simplify: Simplify 0 into 0 1544003506.727 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544003506.727 * [misc]backup-simplify: Simplify 0 into 0 1544003506.727 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1544003506.727 * [misc]backup-simplify: Simplify 0 into 0 1544003506.727 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1544003506.727 * [misc]backup-simplify: Simplify 0 into 0 1544003506.728 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1544003506.728 * [misc]backup-simplify: Simplify 0 into 0 1544003506.728 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1544003506.728 * [misc]backup-simplify: Simplify 0 into 0 1544003506.728 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 1544003506.728 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) into (pow N 2) 1544003506.728 * [misc]approximate: Taking taylor expansion of (pow N 2) in (N) around 0 1544003506.728 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.728 * [misc]taylor: Taking taylor expansion of N in N 1544003506.728 * [misc]backup-simplify: Simplify 0 into 0 1544003506.728 * [misc]backup-simplify: Simplify 1 into 1 1544003506.728 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.728 * [misc]taylor: Taking taylor expansion of N in N 1544003506.728 * [misc]backup-simplify: Simplify 0 into 0 1544003506.728 * [misc]backup-simplify: Simplify 1 into 1 1544003506.729 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003506.729 * [misc]backup-simplify: Simplify 1 into 1 1544003506.729 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003506.729 * [misc]backup-simplify: Simplify 0 into 0 1544003506.729 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544003506.729 * [misc]backup-simplify: Simplify 0 into 0 1544003506.729 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1544003506.729 * [misc]backup-simplify: Simplify 0 into 0 1544003506.729 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1544003506.729 * [misc]backup-simplify: Simplify 0 into 0 1544003506.730 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1544003506.730 * [misc]backup-simplify: Simplify 0 into 0 1544003506.730 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1544003506.730 * [misc]backup-simplify: Simplify 0 into 0 1544003506.730 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 1544003506.730 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1) 1544003506.730 * [misc]backup-simplify: Simplify (/ 1 (* N N)) into (/ 1 (pow N 2)) 1544003506.730 * [misc]approximate: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 1544003506.730 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1544003506.730 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.730 * [misc]taylor: Taking taylor expansion of N in N 1544003506.730 * [misc]backup-simplify: Simplify 0 into 0 1544003506.730 * [misc]backup-simplify: Simplify 1 into 1 1544003506.730 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003506.730 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003506.731 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1544003506.731 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.731 * [misc]taylor: Taking taylor expansion of N in N 1544003506.731 * [misc]backup-simplify: Simplify 0 into 0 1544003506.731 * [misc]backup-simplify: Simplify 1 into 1 1544003506.731 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003506.731 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003506.731 * [misc]backup-simplify: Simplify 1 into 1 1544003506.731 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003506.731 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003506.731 * [misc]backup-simplify: Simplify 0 into 0 1544003506.731 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544003506.731 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003506.732 * [misc]backup-simplify: Simplify 0 into 0 1544003506.732 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1544003506.732 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003506.732 * [misc]backup-simplify: Simplify 0 into 0 1544003506.732 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1544003506.732 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003506.732 * [misc]backup-simplify: Simplify 0 into 0 1544003506.733 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1544003506.733 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003506.733 * [misc]backup-simplify: Simplify 0 into 0 1544003506.733 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1544003506.734 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003506.734 * [misc]backup-simplify: Simplify 0 into 0 1544003506.734 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 1544003506.734 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 N) (/ 1 N))) into (pow N 2) 1544003506.734 * [misc]approximate: Taking taylor expansion of (pow N 2) in (N) around 0 1544003506.734 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.734 * [misc]taylor: Taking taylor expansion of N in N 1544003506.734 * [misc]backup-simplify: Simplify 0 into 0 1544003506.734 * [misc]backup-simplify: Simplify 1 into 1 1544003506.734 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.734 * [misc]taylor: Taking taylor expansion of N in N 1544003506.734 * [misc]backup-simplify: Simplify 0 into 0 1544003506.734 * [misc]backup-simplify: Simplify 1 into 1 1544003506.734 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003506.734 * [misc]backup-simplify: Simplify 1 into 1 1544003506.734 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003506.734 * [misc]backup-simplify: Simplify 0 into 0 1544003506.734 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544003506.734 * [misc]backup-simplify: Simplify 0 into 0 1544003506.735 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1544003506.735 * [misc]backup-simplify: Simplify 0 into 0 1544003506.735 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1544003506.735 * [misc]backup-simplify: Simplify 0 into 0 1544003506.735 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1544003506.735 * [misc]backup-simplify: Simplify 0 into 0 1544003506.736 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1544003506.736 * [misc]backup-simplify: Simplify 0 into 0 1544003506.736 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 1544003506.736 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) into (pow N 2) 1544003506.736 * [misc]approximate: Taking taylor expansion of (pow N 2) in (N) around 0 1544003506.736 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.736 * [misc]taylor: Taking taylor expansion of N in N 1544003506.736 * [misc]backup-simplify: Simplify 0 into 0 1544003506.736 * [misc]backup-simplify: Simplify 1 into 1 1544003506.736 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1544003506.736 * [misc]taylor: Taking taylor expansion of N in N 1544003506.736 * [misc]backup-simplify: Simplify 0 into 0 1544003506.736 * [misc]backup-simplify: Simplify 1 into 1 1544003506.736 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544003506.736 * [misc]backup-simplify: Simplify 1 into 1 1544003506.736 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544003506.736 * [misc]backup-simplify: Simplify 0 into 0 1544003506.736 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544003506.737 * [misc]backup-simplify: Simplify 0 into 0 1544003506.737 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1544003506.737 * [misc]backup-simplify: Simplify 0 into 0 1544003506.737 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1544003506.737 * [misc]backup-simplify: Simplify 0 into 0 1544003506.737 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1544003506.737 * [misc]backup-simplify: Simplify 0 into 0 1544003506.738 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1544003506.738 * [misc]backup-simplify: Simplify 0 into 0 1544003506.738 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 1544003506.738 * * * [misc]progress: simplifying candidates 1544003506.738 * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # 1544003506.738 * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # 1544003506.738 * * * * [misc]progress: [ 3 / 74 ] simplifiying candidate # 1544003506.738 * * * * [misc]progress: [ 4 / 74 ] simplifiying candidate # 1544003506.738 * * * * [misc]progress: [ 5 / 74 ] simplifiying candidate # 1544003506.738 * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # 1544003506.738 * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # 1544003506.738 * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # 1544003506.738 * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # 1544003506.738 * [enter]simplify: Simplifying (sqrt (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003506.738 * * [misc]simplify: iters left: 6 (13 enodes) 1544003506.741 * * [misc]simplify: iters left: 5 (22 enodes) 1544003506.744 * * [misc]simplify: iters left: 4 (35 enodes) 1544003506.754 * * [misc]simplify: iters left: 3 (92 enodes) 1544003506.791 * * [misc]simplify: iters left: 2 (215 enodes) 1544003506.876 * * [misc]simplify: iters left: 1 (398 enodes) 1544003507.169 * [exit]simplify: Simplified to (fabs (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) 1544003507.169 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (fabs (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) (sqrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))))) 1544003507.169 * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # 1544003507.170 * [enter]simplify: Simplifying (sqrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) 1544003507.170 * * [misc]simplify: iters left: 6 (12 enodes) 1544003507.174 * * [misc]simplify: iters left: 5 (20 enodes) 1544003507.180 * * [misc]simplify: iters left: 4 (33 enodes) 1544003507.190 * * [misc]simplify: iters left: 3 (88 enodes) 1544003507.217 * * [misc]simplify: iters left: 2 (219 enodes) 1544003507.333 * * [misc]simplify: iters left: 1 (416 enodes) 1544003507.612 * [exit]simplify: Simplified to (sqrt (sqrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) 1544003507.612 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (sqrt (sqrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) (sqrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))))) 1544003507.612 * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # 1544003507.612 * [enter]simplify: Simplifying (sqrt 1) 1544003507.612 * * [misc]simplify: iters left: 1 (2 enodes) 1544003507.614 * [exit]simplify: Simplified to 1 1544003507.614 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* 1 (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) 1544003507.614 * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # 1544003507.614 * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # 1544003507.614 * [enter]simplify: Simplifying (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1544003507.614 * * [misc]simplify: iters left: 6 (11 enodes) 1544003507.618 * * [misc]simplify: iters left: 5 (19 enodes) 1544003507.623 * * [misc]simplify: iters left: 4 (32 enodes) 1544003507.640 * * [misc]simplify: iters left: 3 (89 enodes) 1544003507.672 * * [misc]simplify: iters left: 2 (222 enodes) 1544003507.777 * * [misc]simplify: iters left: 1 (426 enodes) 1544003508.074 * [exit]simplify: Simplified to (sqrt (fma (fma (/ 1/3 N) (/ 1 N) (/ -1/2 N)) (/ 1 N) (/ 1 N))) 1544003508.074 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (fabs (sqrt (fma (fma (/ 1/3 N) (/ 1 N) (/ -1/2 N)) (/ 1 N) (/ 1 N)))))) 1544003508.074 * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # 1544003508.074 * * * * [misc]progress: [ 15 / 74 ] simplifiying candidate # 1544003508.074 * * * * [misc]progress: [ 16 / 74 ] simplifiying candidate # 1544003508.074 * * * * [misc]progress: [ 17 / 74 ] simplifiying candidate # 1544003508.074 * * * * [misc]progress: [ 18 / 74 ] simplifiying candidate # 1544003508.074 * * * * [misc]progress: [ 19 / 74 ] simplifiying candidate # 1544003508.074 * * * * [misc]progress: [ 20 / 74 ] simplifiying candidate # 1544003508.074 * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # 1544003508.074 * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # 1544003508.074 * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # 1544003508.074 * [enter]simplify: Simplifying (sqrt (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003508.074 * * [misc]simplify: iters left: 6 (13 enodes) 1544003508.078 * * [misc]simplify: iters left: 5 (22 enodes) 1544003508.084 * * [misc]simplify: iters left: 4 (35 enodes) 1544003508.103 * * [misc]simplify: iters left: 3 (92 enodes) 1544003508.127 * * [misc]simplify: iters left: 2 (215 enodes) 1544003508.207 * * [misc]simplify: iters left: 1 (398 enodes) 1544003508.538 * [exit]simplify: Simplified to (fabs (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) 1544003508.538 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (fabs (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) (sqrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003508.538 * * * * [misc]progress: [ 24 / 74 ] simplifiying candidate # 1544003508.538 * [enter]simplify: Simplifying (sqrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) 1544003508.539 * * [misc]simplify: iters left: 6 (12 enodes) 1544003508.541 * * [misc]simplify: iters left: 5 (20 enodes) 1544003508.543 * * [misc]simplify: iters left: 4 (33 enodes) 1544003508.551 * * [misc]simplify: iters left: 3 (88 enodes) 1544003508.601 * * [misc]simplify: iters left: 2 (219 enodes) 1544003508.683 * * [misc]simplify: iters left: 1 (416 enodes) 1544003508.906 * [exit]simplify: Simplified to (sqrt (sqrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) 1544003508.906 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (sqrt (sqrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) (sqrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003508.906 * * * * [misc]progress: [ 25 / 74 ] simplifiying candidate # 1544003508.907 * [enter]simplify: Simplifying (sqrt 1) 1544003508.907 * * [misc]simplify: iters left: 1 (2 enodes) 1544003508.908 * [exit]simplify: Simplified to 1 1544003508.908 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003508.908 * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # 1544003508.908 * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # 1544003508.908 * [enter]simplify: Simplifying (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1544003508.908 * * [misc]simplify: iters left: 6 (11 enodes) 1544003508.912 * * [misc]simplify: iters left: 5 (19 enodes) 1544003508.917 * * [misc]simplify: iters left: 4 (32 enodes) 1544003508.932 * * [misc]simplify: iters left: 3 (89 enodes) 1544003508.968 * * [misc]simplify: iters left: 2 (222 enodes) 1544003509.040 * * [misc]simplify: iters left: 1 (426 enodes) 1544003509.268 * [exit]simplify: Simplified to (sqrt (fma (fma (/ 1/3 N) (/ 1 N) (/ -1/2 N)) (/ 1 N) (/ 1 N))) 1544003509.268 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (fma (fma (/ 1/3 N) (/ 1 N) (/ -1/2 N)) (/ 1 N) (/ 1 N)))) (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003509.268 * * * * [misc]progress: [ 28 / 74 ] simplifiying candidate # 1544003509.269 * * * * [misc]progress: [ 29 / 74 ] simplifiying candidate # 1544003509.269 * * * * [misc]progress: [ 30 / 74 ] simplifiying candidate # 1544003509.269 * * * * [misc]progress: [ 31 / 74 ] simplifiying candidate # 1544003509.269 * * * * [misc]progress: [ 32 / 74 ] simplifiying candidate # 1544003509.269 * [enter]simplify: Simplifying (- 2) 1544003509.269 * * [misc]simplify: iters left: 2 (2 enodes) 1544003509.271 * * [misc]simplify: iters left: 1 (3 enodes) 1544003509.271 * [exit]simplify: Simplified to -2 1544003509.271 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (N) (* (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (sqrt (fma (pow N -2) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003509.271 * * * * [misc]progress: [ 33 / 74 ] simplifiying candidate # 1544003509.271 * [enter]simplify: Simplifying (- 1) 1544003509.271 * * [misc]simplify: iters left: 2 (2 enodes) 1544003509.272 * * [misc]simplify: iters left: 1 (5 enodes) 1544003509.273 * [exit]simplify: Simplified to -1 1544003509.273 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (N) (* (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (sqrt (fma (pow (* N N) -1) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003509.273 * * * * [misc]progress: [ 34 / 74 ] simplifiying candidate # 1544003509.273 * * * * [misc]progress: [ 35 / 74 ] simplifiying candidate # 1544003509.274 * * * * [misc]progress: [ 36 / 74 ] simplifiying candidate # 1544003509.274 * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # 1544003509.274 * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # 1544003509.274 * * * * [misc]progress: [ 39 / 74 ] simplifiying candidate # 1544003509.274 * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # 1544003509.274 * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # 1544003509.274 * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # 1544003509.274 * * * * [misc]progress: [ 43 / 74 ] simplifiying candidate # 1544003509.274 * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # 1544003509.274 * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # 1544003509.274 * * * * [misc]progress: [ 46 / 74 ] simplifiying candidate # 1544003509.274 * * * * [misc]progress: [ 47 / 74 ] simplifiying candidate # 1544003509.274 * * * * [misc]progress: [ 48 / 74 ] simplifiying candidate # 1544003509.274 * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # 1544003509.275 * [enter]simplify: Simplifying (- 2) 1544003509.275 * * [misc]simplify: iters left: 2 (2 enodes) 1544003509.276 * * [misc]simplify: iters left: 1 (3 enodes) 1544003509.276 * [exit]simplify: Simplified to -2 1544003509.276 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (N) (* (sqrt (fma (pow N -2) (- (/ 1/3 N) 1/2) (/ 1 N))) (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003509.276 * * * * [misc]progress: [ 50 / 74 ] simplifiying candidate # 1544003509.277 * [enter]simplify: Simplifying (- 1) 1544003509.277 * * [misc]simplify: iters left: 2 (2 enodes) 1544003509.278 * * [misc]simplify: iters left: 1 (5 enodes) 1544003509.278 * [exit]simplify: Simplified to -1 1544003509.278 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (N) (* (sqrt (fma (pow (* N N) -1) (- (/ 1/3 N) 1/2) (/ 1 N))) (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003509.279 * * * * [misc]progress: [ 51 / 74 ] simplifiying candidate # 1544003509.279 * * * * [misc]progress: [ 52 / 74 ] simplifiying candidate # 1544003509.279 * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # 1544003509.279 * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # 1544003509.279 * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # 1544003509.279 * * * * [misc]progress: [ 56 / 74 ] simplifiying candidate # 1544003509.279 * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # 1544003509.279 * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # 1544003509.279 * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # 1544003509.279 * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # 1544003509.279 * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # 1544003509.279 * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # 1544003509.279 * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # 1544003509.280 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 1544003509.280 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) +nan.0)) 1544003509.280 * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # 1544003509.280 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 1544003509.280 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) +nan.0)) 1544003509.280 * * * * [misc]progress: [ 65 / 74 ] simplifiying candidate # 1544003509.280 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 1544003509.280 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) +nan.0)) 1544003509.280 * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # 1544003509.281 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 1544003509.281 * [misc]simplify: Simplified (2 1) to (λ (N) (* +nan.0 (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003509.281 * * * * [misc]progress: [ 67 / 74 ] simplifiying candidate # 1544003509.281 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 1544003509.281 * [misc]simplify: Simplified (2 1) to (λ (N) (* +nan.0 (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003509.281 * * * * [misc]progress: [ 68 / 74 ] simplifiying candidate # 1544003509.281 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 1544003509.281 * [misc]simplify: Simplified (2 1) to (λ (N) (* +nan.0 (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003509.281 * * * * [misc]progress: [ 69 / 74 ] simplifiying candidate # 1544003509.281 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1544003509.281 * * [misc]simplify: iters left: 3 (5 enodes) 1544003509.283 * * [misc]simplify: iters left: 2 (8 enodes) 1544003509.285 * * [misc]simplify: iters left: 1 (10 enodes) 1544003509.287 * [exit]simplify: Simplified to (/ 1 (* N N)) 1544003509.287 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003509.287 * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # 1544003509.288 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1544003509.288 * * [misc]simplify: iters left: 3 (5 enodes) 1544003509.289 * * [misc]simplify: iters left: 2 (8 enodes) 1544003509.291 * * [misc]simplify: iters left: 1 (10 enodes) 1544003509.293 * [exit]simplify: Simplified to (/ 1 (* N N)) 1544003509.293 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003509.293 * * * * [misc]progress: [ 71 / 74 ] simplifiying candidate # 1544003509.294 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1544003509.294 * * [misc]simplify: iters left: 3 (5 enodes) 1544003509.295 * * [misc]simplify: iters left: 2 (8 enodes) 1544003509.297 * * [misc]simplify: iters left: 1 (10 enodes) 1544003509.299 * [exit]simplify: Simplified to (/ 1 (* N N)) 1544003509.300 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003509.300 * * * * [misc]progress: [ 72 / 74 ] simplifiying candidate # 1544003509.300 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1544003509.300 * * [misc]simplify: iters left: 3 (5 enodes) 1544003509.301 * * [misc]simplify: iters left: 2 (8 enodes) 1544003509.303 * * [misc]simplify: iters left: 1 (10 enodes) 1544003509.306 * [exit]simplify: Simplified to (/ 1 (* N N)) 1544003509.306 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003509.306 * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # 1544003509.306 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1544003509.306 * * [misc]simplify: iters left: 3 (5 enodes) 1544003509.308 * * [misc]simplify: iters left: 2 (8 enodes) 1544003509.309 * * [misc]simplify: iters left: 1 (10 enodes) 1544003509.312 * [exit]simplify: Simplified to (/ 1 (* N N)) 1544003509.312 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003509.312 * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # 1544003509.312 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1544003509.312 * * [misc]simplify: iters left: 3 (5 enodes) 1544003509.314 * * [misc]simplify: iters left: 2 (8 enodes) 1544003509.316 * * [misc]simplify: iters left: 1 (10 enodes) 1544003509.318 * [exit]simplify: Simplified to (/ 1 (* N N)) 1544003509.318 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1544003509.319 * * * [misc]progress: adding candidates to table 1544003510.206 * * [misc]progress: iteration 4 / 4 1544003510.206 * * * [misc]progress: picking best candidate 1544003510.229 * * * * [misc]pick: Picked # 1544003510.230 * * * [misc]progress: localizing error 1544003510.258 * * * [misc]progress: generating rewritten candidates 1544003510.258 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1544003510.260 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1544003510.265 * * * [misc]progress: generating series expansions 1544003510.265 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1544003510.265 * [misc]backup-simplify: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 1544003510.265 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1544003510.265 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1544003510.265 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1544003510.265 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1544003510.265 * [misc]taylor: Taking taylor expansion of N in N 1544003510.265 * [misc]backup-simplify: Simplify 0 into 0 1544003510.265 * [misc]backup-simplify: Simplify 1 into 1 1544003510.265 * [misc]taylor: Taking taylor expansion of 1 in N 1544003510.265 * [misc]backup-simplify: Simplify 1 into 1 1544003510.265 * [misc]taylor: Taking taylor expansion of N in N 1544003510.265 * [misc]backup-simplify: Simplify 0 into 0 1544003510.265 * [misc]backup-simplify: Simplify 1 into 1 1544003510.266 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003510.266 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003510.266 * [misc]backup-simplify: Simplify (log 1) into 0 1544003510.266 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1544003510.266 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1544003510.266 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1544003510.266 * [misc]taylor: Taking taylor expansion of N in N 1544003510.266 * [misc]backup-simplify: Simplify 0 into 0 1544003510.266 * [misc]backup-simplify: Simplify 1 into 1 1544003510.266 * [misc]taylor: Taking taylor expansion of 1 in N 1544003510.266 * [misc]backup-simplify: Simplify 1 into 1 1544003510.266 * [misc]taylor: Taking taylor expansion of N in N 1544003510.266 * [misc]backup-simplify: Simplify 0 into 0 1544003510.266 * [misc]backup-simplify: Simplify 1 into 1 1544003510.267 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003510.267 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003510.267 * [misc]backup-simplify: Simplify (log 1) into 0 1544003510.267 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1544003510.267 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1544003510.267 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003510.268 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1544003510.270 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1544003510.270 * [misc]backup-simplify: Simplify 1 into 1 1544003510.270 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.270 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1544003510.274 * [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 1544003510.274 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544003510.274 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1544003510.275 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1544003510.275 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1544003510.275 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1544003510.275 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1544003510.275 * [misc]taylor: Taking taylor expansion of N in N 1544003510.275 * [misc]backup-simplify: Simplify 0 into 0 1544003510.275 * [misc]backup-simplify: Simplify 1 into 1 1544003510.275 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1544003510.275 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003510.275 * [misc]taylor: Taking taylor expansion of N in N 1544003510.275 * [misc]backup-simplify: Simplify 0 into 0 1544003510.275 * [misc]backup-simplify: Simplify 1 into 1 1544003510.275 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003510.275 * [misc]taylor: Taking taylor expansion of 1 in N 1544003510.275 * [misc]backup-simplify: Simplify 1 into 1 1544003510.275 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003510.275 * [misc]backup-simplify: Simplify (* 0 1) into 0 1544003510.276 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003510.276 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003510.276 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1544003510.276 * [misc]backup-simplify: Simplify (log 1) into 0 1544003510.276 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1544003510.276 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1544003510.276 * [misc]taylor: Taking taylor expansion of N in N 1544003510.276 * [misc]backup-simplify: Simplify 0 into 0 1544003510.276 * [misc]backup-simplify: Simplify 1 into 1 1544003510.276 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1544003510.276 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003510.276 * [misc]taylor: Taking taylor expansion of N in N 1544003510.276 * [misc]backup-simplify: Simplify 0 into 0 1544003510.276 * [misc]backup-simplify: Simplify 1 into 1 1544003510.276 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003510.277 * [misc]taylor: Taking taylor expansion of 1 in N 1544003510.277 * [misc]backup-simplify: Simplify 1 into 1 1544003510.277 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003510.277 * [misc]backup-simplify: Simplify (* 0 1) into 0 1544003510.277 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003510.277 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003510.277 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1544003510.278 * [misc]backup-simplify: Simplify (log 1) into 0 1544003510.278 * [misc]backup-simplify: Simplify 0 into 0 1544003510.278 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.278 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.278 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1544003510.280 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1544003510.280 * [misc]backup-simplify: Simplify 1 into 1 1544003510.281 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.281 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.281 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1544003510.285 * [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 1544003510.285 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544003510.285 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.285 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.286 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1544003510.292 * [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 1544003510.292 * [misc]backup-simplify: Simplify 1/3 into 1/3 1544003510.292 * [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)))) 1544003510.293 * [misc]backup-simplify: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1544003510.293 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1544003510.293 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1544003510.293 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1544003510.293 * [misc]taylor: Taking taylor expansion of -1 in N 1544003510.293 * [misc]backup-simplify: Simplify -1 into -1 1544003510.293 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1544003510.293 * [misc]taylor: Taking taylor expansion of N in N 1544003510.293 * [misc]backup-simplify: Simplify 0 into 0 1544003510.293 * [misc]backup-simplify: Simplify 1 into 1 1544003510.293 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1544003510.293 * [misc]taylor: Taking taylor expansion of 1 in N 1544003510.293 * [misc]backup-simplify: Simplify 1 into 1 1544003510.293 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003510.293 * [misc]taylor: Taking taylor expansion of N in N 1544003510.293 * [misc]backup-simplify: Simplify 0 into 0 1544003510.293 * [misc]backup-simplify: Simplify 1 into 1 1544003510.293 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003510.293 * [misc]backup-simplify: Simplify (- 1) into -1 1544003510.294 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544003510.294 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1544003510.294 * [misc]backup-simplify: Simplify (* -1 0) into 0 1544003510.294 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003510.294 * [misc]backup-simplify: Simplify (- 0) into 0 1544003510.294 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003510.295 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1544003510.295 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1544003510.295 * [misc]backup-simplify: Simplify (log 1) into 0 1544003510.295 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1544003510.295 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1544003510.295 * [misc]taylor: Taking taylor expansion of -1 in N 1544003510.295 * [misc]backup-simplify: Simplify -1 into -1 1544003510.295 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1544003510.295 * [misc]taylor: Taking taylor expansion of N in N 1544003510.295 * [misc]backup-simplify: Simplify 0 into 0 1544003510.295 * [misc]backup-simplify: Simplify 1 into 1 1544003510.295 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1544003510.295 * [misc]taylor: Taking taylor expansion of 1 in N 1544003510.295 * [misc]backup-simplify: Simplify 1 into 1 1544003510.295 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003510.295 * [misc]taylor: Taking taylor expansion of N in N 1544003510.295 * [misc]backup-simplify: Simplify 0 into 0 1544003510.295 * [misc]backup-simplify: Simplify 1 into 1 1544003510.295 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003510.296 * [misc]backup-simplify: Simplify (- 1) into -1 1544003510.296 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544003510.296 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1544003510.296 * [misc]backup-simplify: Simplify (* -1 0) into 0 1544003510.296 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003510.296 * [misc]backup-simplify: Simplify (- 0) into 0 1544003510.297 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003510.297 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1544003510.297 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1544003510.297 * [misc]backup-simplify: Simplify (log 1) into 0 1544003510.297 * [misc]backup-simplify: Simplify 0 into 0 1544003510.298 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.298 * [misc]backup-simplify: Simplify (- 0) into 0 1544003510.298 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.298 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1544003510.298 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1544003510.301 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1544003510.301 * [misc]backup-simplify: Simplify -1 into -1 1544003510.301 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.301 * [misc]backup-simplify: Simplify (- 0) into 0 1544003510.301 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.302 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1544003510.302 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1544003510.306 * [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 1544003510.306 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544003510.306 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.307 * [misc]backup-simplify: Simplify (- 0) into 0 1544003510.307 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.307 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1544003510.307 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1544003510.313 * [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 1544003510.314 * [misc]backup-simplify: Simplify -1/3 into -1/3 1544003510.316 * [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)))) 1544003510.316 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1544003510.316 * [misc]backup-simplify: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 1544003510.316 * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1544003510.317 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1544003510.317 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1544003510.317 * [misc]taylor: Taking taylor expansion of N in N 1544003510.317 * [misc]backup-simplify: Simplify 0 into 0 1544003510.317 * [misc]backup-simplify: Simplify 1 into 1 1544003510.317 * [misc]taylor: Taking taylor expansion of 1 in N 1544003510.317 * [misc]backup-simplify: Simplify 1 into 1 1544003510.317 * [misc]taylor: Taking taylor expansion of N in N 1544003510.317 * [misc]backup-simplify: Simplify 0 into 0 1544003510.317 * [misc]backup-simplify: Simplify 1 into 1 1544003510.317 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003510.317 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003510.317 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1544003510.317 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1544003510.317 * [misc]taylor: Taking taylor expansion of N in N 1544003510.317 * [misc]backup-simplify: Simplify 0 into 0 1544003510.317 * [misc]backup-simplify: Simplify 1 into 1 1544003510.317 * [misc]taylor: Taking taylor expansion of 1 in N 1544003510.317 * [misc]backup-simplify: Simplify 1 into 1 1544003510.318 * [misc]taylor: Taking taylor expansion of N in N 1544003510.318 * [misc]backup-simplify: Simplify 0 into 0 1544003510.318 * [misc]backup-simplify: Simplify 1 into 1 1544003510.318 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003510.318 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003510.318 * [misc]backup-simplify: Simplify 1 into 1 1544003510.318 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003510.318 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1544003510.318 * [misc]backup-simplify: Simplify 1 into 1 1544003510.319 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.319 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1544003510.319 * [misc]backup-simplify: Simplify 0 into 0 1544003510.319 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.319 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.319 * [misc]backup-simplify: Simplify 0 into 0 1544003510.320 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.320 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.320 * [misc]backup-simplify: Simplify 0 into 0 1544003510.320 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.321 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.321 * [misc]backup-simplify: Simplify 0 into 0 1544003510.321 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.321 * [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 1544003510.321 * [misc]backup-simplify: Simplify 0 into 0 1544003510.322 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.322 * [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 1544003510.322 * [misc]backup-simplify: Simplify 0 into 0 1544003510.322 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1544003510.323 * [misc]backup-simplify: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1544003510.323 * [misc]approximate: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1544003510.323 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1544003510.323 * [misc]taylor: Taking taylor expansion of N in N 1544003510.323 * [misc]backup-simplify: Simplify 0 into 0 1544003510.323 * [misc]backup-simplify: Simplify 1 into 1 1544003510.323 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1544003510.323 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003510.323 * [misc]taylor: Taking taylor expansion of N in N 1544003510.323 * [misc]backup-simplify: Simplify 0 into 0 1544003510.323 * [misc]backup-simplify: Simplify 1 into 1 1544003510.323 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003510.323 * [misc]taylor: Taking taylor expansion of 1 in N 1544003510.323 * [misc]backup-simplify: Simplify 1 into 1 1544003510.323 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1544003510.323 * [misc]taylor: Taking taylor expansion of N in N 1544003510.323 * [misc]backup-simplify: Simplify 0 into 0 1544003510.323 * [misc]backup-simplify: Simplify 1 into 1 1544003510.323 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1544003510.323 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003510.323 * [misc]taylor: Taking taylor expansion of N in N 1544003510.323 * [misc]backup-simplify: Simplify 0 into 0 1544003510.323 * [misc]backup-simplify: Simplify 1 into 1 1544003510.323 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003510.323 * [misc]taylor: Taking taylor expansion of 1 in N 1544003510.323 * [misc]backup-simplify: Simplify 1 into 1 1544003510.324 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003510.324 * [misc]backup-simplify: Simplify (* 0 1) into 0 1544003510.324 * [misc]backup-simplify: Simplify 0 into 0 1544003510.324 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003510.324 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544003510.324 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1544003510.324 * [misc]backup-simplify: Simplify 1 into 1 1544003510.325 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.325 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.325 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1544003510.325 * [misc]backup-simplify: Simplify 1 into 1 1544003510.325 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.326 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.326 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1544003510.326 * [misc]backup-simplify: Simplify 0 into 0 1544003510.326 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.326 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.327 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1544003510.327 * [misc]backup-simplify: Simplify 0 into 0 1544003510.327 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.327 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.328 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1544003510.328 * [misc]backup-simplify: Simplify 0 into 0 1544003510.328 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.328 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.329 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1544003510.329 * [misc]backup-simplify: Simplify 0 into 0 1544003510.329 * [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 1544003510.330 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.330 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1544003510.330 * [misc]backup-simplify: Simplify 0 into 0 1544003510.331 * [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 1544003510.331 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.331 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1544003510.331 * [misc]backup-simplify: Simplify 0 into 0 1544003510.332 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1544003510.332 * [misc]backup-simplify: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1544003510.332 * [misc]approximate: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1544003510.332 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1544003510.332 * [misc]taylor: Taking taylor expansion of -1 in N 1544003510.332 * [misc]backup-simplify: Simplify -1 into -1 1544003510.332 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1544003510.332 * [misc]taylor: Taking taylor expansion of N in N 1544003510.332 * [misc]backup-simplify: Simplify 0 into 0 1544003510.332 * [misc]backup-simplify: Simplify 1 into 1 1544003510.332 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1544003510.332 * [misc]taylor: Taking taylor expansion of 1 in N 1544003510.332 * [misc]backup-simplify: Simplify 1 into 1 1544003510.332 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003510.332 * [misc]taylor: Taking taylor expansion of N in N 1544003510.332 * [misc]backup-simplify: Simplify 0 into 0 1544003510.332 * [misc]backup-simplify: Simplify 1 into 1 1544003510.332 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003510.332 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1544003510.332 * [misc]taylor: Taking taylor expansion of -1 in N 1544003510.332 * [misc]backup-simplify: Simplify -1 into -1 1544003510.332 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1544003510.332 * [misc]taylor: Taking taylor expansion of N in N 1544003510.332 * [misc]backup-simplify: Simplify 0 into 0 1544003510.332 * [misc]backup-simplify: Simplify 1 into 1 1544003510.332 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1544003510.332 * [misc]taylor: Taking taylor expansion of 1 in N 1544003510.332 * [misc]backup-simplify: Simplify 1 into 1 1544003510.332 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1544003510.332 * [misc]taylor: Taking taylor expansion of N in N 1544003510.333 * [misc]backup-simplify: Simplify 0 into 0 1544003510.333 * [misc]backup-simplify: Simplify 1 into 1 1544003510.333 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544003510.333 * [misc]backup-simplify: Simplify (- 1) into -1 1544003510.333 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544003510.333 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1544003510.333 * [misc]backup-simplify: Simplify (* -1 0) into 0 1544003510.333 * [misc]backup-simplify: Simplify 0 into 0 1544003510.334 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544003510.334 * [misc]backup-simplify: Simplify (- 0) into 0 1544003510.334 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544003510.334 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1544003510.334 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1544003510.334 * [misc]backup-simplify: Simplify 1 into 1 1544003510.335 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.335 * [misc]backup-simplify: Simplify (- 0) into 0 1544003510.335 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.335 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1544003510.335 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1544003510.335 * [misc]backup-simplify: Simplify -1 into -1 1544003510.336 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.336 * [misc]backup-simplify: Simplify (- 0) into 0 1544003510.336 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.336 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1544003510.336 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1544003510.337 * [misc]backup-simplify: Simplify 0 into 0 1544003510.337 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.337 * [misc]backup-simplify: Simplify (- 0) into 0 1544003510.337 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.338 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1544003510.338 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1544003510.338 * [misc]backup-simplify: Simplify 0 into 0 1544003510.338 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.338 * [misc]backup-simplify: Simplify (- 0) into 0 1544003510.339 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.339 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1544003510.339 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1544003510.339 * [misc]backup-simplify: Simplify 0 into 0 1544003510.340 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544003510.340 * [misc]backup-simplify: Simplify (- 0) into 0 1544003510.340 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.341 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1544003510.341 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1544003510.341 * [misc]backup-simplify: Simplify 0 into 0 1544003510.342 * [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 1544003510.342 * [misc]backup-simplify: Simplify (- 0) into 0 1544003510.342 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.342 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1544003510.343 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1544003510.343 * [misc]backup-simplify: Simplify 0 into 0 1544003510.343 * [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 1544003510.344 * [misc]backup-simplify: Simplify (- 0) into 0 1544003510.344 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544003510.345 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1544003510.345 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1544003510.345 * [misc]backup-simplify: Simplify 0 into 0 1544003510.345 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1544003510.345 * * * [misc]progress: simplifying candidates 1544003510.345 * * * * [misc]progress: [ 1 / 39 ] simplifiying candidate # 1544003510.345 * * * * [misc]progress: [ 2 / 39 ] simplifiying candidate # 1544003510.345 * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # 1544003510.346 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1544003510.346 * * [misc]simplify: iters left: 6 (7 enodes) 1544003510.348 * * [misc]simplify: iters left: 5 (12 enodes) 1544003510.351 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1544003510.351 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ N 1) N))))) 1544003510.351 * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # 1544003510.351 * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) 1544003510.351 * * [misc]simplify: iters left: 6 (6 enodes) 1544003510.353 * * [misc]simplify: iters left: 5 (9 enodes) 1544003510.355 * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) 1544003510.355 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) 1544003510.355 * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # 1544003510.355 * [enter]simplify: Simplifying (log 1) 1544003510.355 * * [misc]simplify: iters left: 1 (2 enodes) 1544003510.356 * [exit]simplify: Simplified to 0 1544003510.356 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ N 1) N)))) 1544003510.356 * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # 1544003510.357 * [enter]simplify: Simplifying (log (+ N 1)) 1544003510.357 * * [misc]simplify: iters left: 3 (4 enodes) 1544003510.358 * * [misc]simplify: iters left: 2 (7 enodes) 1544003510.359 * * [misc]simplify: iters left: 1 (8 enodes) 1544003510.361 * [exit]simplify: Simplified to (log1p N) 1544003510.361 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log1p N) (log (/ 1 N)))) 1544003510.361 * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # 1544003510.361 * [enter]simplify: Simplifying (log (+ N 1)) 1544003510.361 * * [misc]simplify: iters left: 3 (4 enodes) 1544003510.362 * * [misc]simplify: iters left: 2 (7 enodes) 1544003510.364 * * [misc]simplify: iters left: 1 (8 enodes) 1544003510.365 * [exit]simplify: Simplified to (log1p N) 1544003510.365 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log1p N) (log N))) 1544003510.365 * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # 1544003510.365 * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # 1544003510.365 * * * * [misc]progress: [ 10 / 39 ] simplifiying candidate # 1544003510.366 * [enter]simplify: Simplifying (/ (+ N 1) N) 1544003510.366 * * [misc]simplify: iters left: 4 (4 enodes) 1544003510.367 * * [misc]simplify: iters left: 3 (7 enodes) 1544003510.368 * [exit]simplify: Simplified to (/ (+ 1 N) N) 1544003510.368 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) 1544003510.368 * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # 1544003510.368 * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 21 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 27 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 28 / 39 ] simplifiying candidate # 1544003510.369 * * * * [misc]progress: [ 29 / 39 ] simplifiying candidate # 1544003510.370 * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1544003510.370 * * [misc]simplify: iters left: 5 (5 enodes) 1544003510.371 * * [misc]simplify: iters left: 4 (8 enodes) 1544003510.373 * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1544003510.373 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ N (cbrt (+ N 1)))))) 1544003510.373 * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # 1544003510.373 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1544003510.373 * * [misc]simplify: iters left: 3 (4 enodes) 1544003510.374 * * [misc]simplify: iters left: 2 (7 enodes) 1544003510.376 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1544003510.376 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ 1 N)) (/ N (sqrt (+ N 1)))))) 1544003510.376 * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # 1544003510.376 * * * * [misc]progress: [ 32 / 39 ] simplifiying candidate # 1544003510.376 * [enter]simplify: Simplifying (+ (pow N 3) (pow 1 3)) 1544003510.376 * * [misc]simplify: iters left: 3 (6 enodes) 1544003510.379 * * [misc]simplify: iters left: 2 (14 enodes) 1544003510.381 * * [misc]simplify: iters left: 1 (16 enodes) 1544003510.384 * [exit]simplify: Simplified to (fma (* N N) N 1) 1544003510.384 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (fma (* N N) N 1) (* N (+ (* N N) (- (* 1 1) (* N 1))))))) 1544003510.384 * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # 1544003510.384 * [enter]simplify: Simplifying (- (* N N) (* 1 1)) 1544003510.384 * * [misc]simplify: iters left: 4 (5 enodes) 1544003510.386 * * [misc]simplify: iters left: 3 (12 enodes) 1544003510.387 * * [misc]simplify: iters left: 2 (19 enodes) 1544003510.389 * * [misc]simplify: iters left: 1 (23 enodes) 1544003510.391 * [exit]simplify: Simplified to (fma N N -1) 1544003510.391 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (fma N N -1) (* N (- N 1))))) 1544003510.391 * * * * [misc]progress: [ 34 / 39 ] simplifiying candidate # 1544003510.391 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1544003510.391 * * [misc]simplify: iters left: 6 (8 enodes) 1544003510.392 * * [misc]simplify: iters left: 5 (15 enodes) 1544003510.395 * * [misc]simplify: iters left: 4 (29 enodes) 1544003510.400 * * [misc]simplify: iters left: 3 (55 enodes) 1544003510.409 * * [misc]simplify: iters left: 2 (104 enodes) 1544003510.425 * * [misc]simplify: iters left: 1 (143 enodes) 1544003510.451 * [exit]simplify: Simplified to (fma (* N -1/2) N (- N (log N))) 1544003510.452 * [misc]simplify: Simplified (2) to (λ (N) (fma (* N -1/2) N (- N (log N)))) 1544003510.452 * * * * [misc]progress: [ 35 / 39 ] simplifiying candidate # 1544003510.452 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1544003510.452 * * [misc]simplify: iters left: 6 (15 enodes) 1544003510.456 * * [misc]simplify: iters left: 5 (32 enodes) 1544003510.463 * * [misc]simplify: iters left: 4 (61 enodes) 1544003510.473 * * [misc]simplify: iters left: 3 (103 enodes) 1544003510.496 * * [misc]simplify: iters left: 2 (168 enodes) 1544003510.531 * * [misc]simplify: iters left: 1 (248 enodes) 1544003510.612 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1544003510.613 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1544003510.613 * * * * [misc]progress: [ 36 / 39 ] simplifiying candidate # 1544003510.613 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1544003510.613 * * [misc]simplify: iters left: 6 (15 enodes) 1544003510.616 * * [misc]simplify: iters left: 5 (32 enodes) 1544003510.623 * * [misc]simplify: iters left: 4 (61 enodes) 1544003510.634 * * [misc]simplify: iters left: 3 (103 enodes) 1544003510.656 * * [misc]simplify: iters left: 2 (168 enodes) 1544003510.700 * * [misc]simplify: iters left: 1 (248 enodes) 1544003510.774 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1544003510.774 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1544003510.774 * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # 1544003510.774 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1544003510.774 * * [misc]simplify: iters left: 4 (4 enodes) 1544003510.775 * * [misc]simplify: iters left: 3 (7 enodes) 1544003510.776 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1544003510.776 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1544003510.776 * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # 1544003510.776 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1544003510.776 * * [misc]simplify: iters left: 4 (4 enodes) 1544003510.776 * * [misc]simplify: iters left: 3 (7 enodes) 1544003510.777 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1544003510.777 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1544003510.777 * * * * [misc]progress: [ 39 / 39 ] simplifiying candidate # 1544003510.777 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1544003510.777 * * [misc]simplify: iters left: 4 (4 enodes) 1544003510.778 * * [misc]simplify: iters left: 3 (7 enodes) 1544003510.779 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1544003510.779 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1544003510.779 * * * [misc]progress: adding candidates to table 1544003511.034 * [misc]progress: [Phase 3 of 3] Extracting. 1544003511.034 * * [misc]regime: Finding splitpoints for: (# # # # # # # # #) 1544003511.035 * * * [misc]regime-changes: Trying 2 branch expressions: (N (- (log (+ N 1)) (log N))) 1544003511.035 * * * * [misc]regimes: Trying to branch on N from (# # # # # # # # #) 1544003511.095 * * * * [misc]regimes: Trying to branch on (- (log (+ N 1)) (log N)) from (# # # # # # # # #) 1544003511.149 * * * * [misc]regimes: Trying to branch on (- (log (+ N 1)) (log N)) from (# #) 1544003511.178 * * * [misc]regime: Found split indices: #