1545301274.548 * [misc]progress: [Phase 1 of 3] Setting up. 1545301274.548 * * * [misc]progress: [1/2] Preparing points 1545301274.548 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545301274.591 * * * * [misc]points: Filtering points with unrepresentable outputs 1545301274.591 * * * * [misc]points: Sampling 122 additional inputs, on iter 1 have 134 / 256 1545301274.613 * * * * [misc]points: Filtering points with unrepresentable outputs 1545301274.613 * * * * [misc]points: Sampling 63 additional inputs, on iter 2 have 193 / 256 1545301274.628 * * * * [misc]points: Filtering points with unrepresentable outputs 1545301274.628 * * * * [misc]points: Sampling 26 additional inputs, on iter 3 have 230 / 256 1545301274.636 * * * * [misc]points: Filtering points with unrepresentable outputs 1545301274.636 * * * * [misc]points: Sampling 9 additional inputs, on iter 4 have 247 / 256 1545301274.639 * * * * [misc]points: Filtering points with unrepresentable outputs 1545301274.639 * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 255 / 256 1545301274.642 * * * * [misc]points: Filtering points with unrepresentable outputs 1545301274.642 * * * * [exit]points: Sampled 259 points with exact outputs 1545301274.642 * * * [misc]progress: [2/2] Setting up program. 1545301274.647 * [misc]progress: [Phase 2 of 3] Improving. 1545301274.647 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1545301274.647 * * [misc]simplify: iters left: 5 (6 enodes) 1545301274.649 * * [misc]simplify: iters left: 4 (11 enodes) 1545301274.652 * * [misc]simplify: iters left: 3 (13 enodes) 1545301274.655 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545301274.665 * * [misc]progress: iteration 1 / 4 1545301274.665 * * * [misc]progress: picking best candidate 1545301274.670 * * * * [misc]pick: Picked # 1545301274.670 * * * [misc]progress: localizing error 1545301274.689 * * * [misc]progress: generating rewritten candidates 1545301274.689 * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) 1545301274.701 * * * [misc]progress: generating series expansions 1545301274.701 * * * * [misc]progress: [ 1 / 1 ] generating series at (2) 1545301274.701 * [misc]backup-simplify: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 1545301274.701 * [misc]approximate: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 1545301274.701 * [misc]taylor: Taking taylor expansion of (- (log1p N) (log N)) in N 1545301274.701 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1545301274.702 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1545301274.702 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1545301274.702 * [misc]taylor: Taking taylor expansion of 1 in N 1545301274.702 * [misc]backup-simplify: Simplify 1 into 1 1545301274.702 * [misc]taylor: Taking taylor expansion of N in N 1545301274.702 * [misc]backup-simplify: Simplify 0 into 0 1545301274.702 * [misc]backup-simplify: Simplify 1 into 1 1545301274.702 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545301274.702 * [misc]backup-simplify: Simplify (log 1) into 0 1545301274.702 * [misc]taylor: Taking taylor expansion of (log N) in N 1545301274.702 * [misc]taylor: Taking taylor expansion of N in N 1545301274.702 * [misc]backup-simplify: Simplify 0 into 0 1545301274.702 * [misc]backup-simplify: Simplify 1 into 1 1545301274.702 * [misc]backup-simplify: Simplify (log 1) into 0 1545301274.702 * [misc]taylor: Taking taylor expansion of (- (log1p N) (log N)) in N 1545301274.702 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1545301274.703 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1545301274.703 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1545301274.703 * [misc]taylor: Taking taylor expansion of 1 in N 1545301274.703 * [misc]backup-simplify: Simplify 1 into 1 1545301274.703 * [misc]taylor: Taking taylor expansion of N in N 1545301274.703 * [misc]backup-simplify: Simplify 0 into 0 1545301274.703 * [misc]backup-simplify: Simplify 1 into 1 1545301274.703 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545301274.703 * [misc]backup-simplify: Simplify (log 1) into 0 1545301274.703 * [misc]taylor: Taking taylor expansion of (log N) in N 1545301274.703 * [misc]taylor: Taking taylor expansion of N in N 1545301274.703 * [misc]backup-simplify: Simplify 0 into 0 1545301274.703 * [misc]backup-simplify: Simplify 1 into 1 1545301274.703 * [misc]backup-simplify: Simplify (log 1) into 0 1545301274.704 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1545301274.704 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545301274.704 * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) 1545301274.704 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545301274.704 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301274.706 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545301274.709 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545301274.709 * [misc]backup-simplify: Simplify (- 0) into 0 1545301274.709 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545301274.709 * [misc]backup-simplify: Simplify 1 into 1 1545301274.709 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301274.713 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1545301274.716 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545301274.716 * [misc]backup-simplify: Simplify (- 0) into 0 1545301274.716 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545301274.716 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545301274.716 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1545301274.716 * [misc]backup-simplify: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 1545301274.716 * [misc]approximate: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 1545301274.716 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 1545301274.716 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1545301274.716 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1545301274.716 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1545301274.716 * [misc]taylor: Taking taylor expansion of 1 in N 1545301274.716 * [misc]backup-simplify: Simplify 1 into 1 1545301274.716 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301274.716 * [misc]taylor: Taking taylor expansion of N in N 1545301274.716 * [misc]backup-simplify: Simplify 0 into 0 1545301274.716 * [misc]backup-simplify: Simplify 1 into 1 1545301274.716 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301274.717 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301274.717 * [misc]backup-simplify: Simplify (log 1) into 0 1545301274.717 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1545301274.717 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301274.717 * [misc]taylor: Taking taylor expansion of N in N 1545301274.717 * [misc]backup-simplify: Simplify 0 into 0 1545301274.717 * [misc]backup-simplify: Simplify 1 into 1 1545301274.717 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301274.717 * [misc]backup-simplify: Simplify (log 1) into 0 1545301274.717 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 1545301274.717 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1545301274.717 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1545301274.717 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1545301274.717 * [misc]taylor: Taking taylor expansion of 1 in N 1545301274.717 * [misc]backup-simplify: Simplify 1 into 1 1545301274.717 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301274.717 * [misc]taylor: Taking taylor expansion of N in N 1545301274.717 * [misc]backup-simplify: Simplify 0 into 0 1545301274.717 * [misc]backup-simplify: Simplify 1 into 1 1545301274.717 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301274.717 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301274.718 * [misc]backup-simplify: Simplify (log 1) into 0 1545301274.718 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1545301274.718 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301274.718 * [misc]taylor: Taking taylor expansion of N in N 1545301274.718 * [misc]backup-simplify: Simplify 0 into 0 1545301274.718 * [misc]backup-simplify: Simplify 1 into 1 1545301274.718 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301274.718 * [misc]backup-simplify: Simplify (log 1) into 0 1545301274.718 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545301274.732 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545301274.732 * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) 1545301274.732 * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 1545301274.732 * [misc]backup-simplify: Simplify 0 into 0 1545301274.733 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301274.733 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545301274.735 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545301274.735 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301274.739 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545301274.739 * [misc]backup-simplify: Simplify (- 0) into 0 1545301274.739 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545301274.739 * [misc]backup-simplify: Simplify 1 into 1 1545301274.739 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301274.739 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301274.743 * [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 1545301274.743 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301274.747 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545301274.747 * [misc]backup-simplify: Simplify (- 0) into 0 1545301274.747 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545301274.747 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545301274.748 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301274.748 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301274.753 * [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 1545301274.754 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301274.759 * [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 1545301274.760 * [misc]backup-simplify: Simplify (- 0) into 0 1545301274.760 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301274.760 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301274.760 * [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)))) 1545301274.760 * [misc]backup-simplify: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 1545301274.760 * [misc]approximate: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 1545301274.760 * [misc]taylor: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 1545301274.760 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1545301274.760 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1545301274.760 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1545301274.761 * [misc]taylor: Taking taylor expansion of 1 in N 1545301274.761 * [misc]backup-simplify: Simplify 1 into 1 1545301274.761 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1545301274.761 * [misc]taylor: Taking taylor expansion of -1 in N 1545301274.761 * [misc]backup-simplify: Simplify -1 into -1 1545301274.761 * [misc]taylor: Taking taylor expansion of N in N 1545301274.761 * [misc]backup-simplify: Simplify 0 into 0 1545301274.761 * [misc]backup-simplify: Simplify 1 into 1 1545301274.761 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545301274.761 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545301274.761 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545301274.761 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1545301274.761 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1545301274.761 * [misc]taylor: Taking taylor expansion of -1 in N 1545301274.761 * [misc]backup-simplify: Simplify -1 into -1 1545301274.761 * [misc]taylor: Taking taylor expansion of N in N 1545301274.761 * [misc]backup-simplify: Simplify 0 into 0 1545301274.761 * [misc]backup-simplify: Simplify 1 into 1 1545301274.761 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545301274.762 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545301274.762 * [misc]taylor: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 1545301274.762 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1545301274.762 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1545301274.762 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1545301274.762 * [misc]taylor: Taking taylor expansion of 1 in N 1545301274.762 * [misc]backup-simplify: Simplify 1 into 1 1545301274.762 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1545301274.762 * [misc]taylor: Taking taylor expansion of -1 in N 1545301274.762 * [misc]backup-simplify: Simplify -1 into -1 1545301274.762 * [misc]taylor: Taking taylor expansion of N in N 1545301274.762 * [misc]backup-simplify: Simplify 0 into 0 1545301274.762 * [misc]backup-simplify: Simplify 1 into 1 1545301274.762 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545301274.762 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545301274.762 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545301274.762 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1545301274.762 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1545301274.762 * [misc]taylor: Taking taylor expansion of -1 in N 1545301274.762 * [misc]backup-simplify: Simplify -1 into -1 1545301274.762 * [misc]taylor: Taking taylor expansion of N in N 1545301274.763 * [misc]backup-simplify: Simplify 0 into 0 1545301274.763 * [misc]backup-simplify: Simplify 1 into 1 1545301274.763 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545301274.763 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545301274.763 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1545301274.764 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1545301274.764 * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1545301274.764 * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1545301274.764 * [misc]backup-simplify: Simplify 0 into 0 1545301274.764 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545301274.764 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545301274.767 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1545301274.767 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545301274.769 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545301274.769 * [misc]backup-simplify: Simplify (- 0) into 0 1545301274.769 * [misc]backup-simplify: Simplify (+ -1 0) into -1 1545301274.769 * [misc]backup-simplify: Simplify -1 into -1 1545301274.770 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301274.770 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301274.773 * [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 1545301274.774 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301274.777 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545301274.778 * [misc]backup-simplify: Simplify (- 0) into 0 1545301274.778 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545301274.778 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545301274.778 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301274.778 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301274.784 * [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 1545301274.784 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301274.790 * [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 1545301274.791 * [misc]backup-simplify: Simplify (- 0) into 0 1545301274.791 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1545301274.791 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545301274.791 * [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)))) 1545301274.791 * * * [misc]progress: simplifying candidates 1545301274.792 * * * * [misc]progress: [ 1 / 32 ] simplifiying candidate # 1545301274.792 * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1545301274.792 * * [misc]simplify: iters left: 6 (10 enodes) 1545301274.795 * * [misc]simplify: iters left: 5 (19 enodes) 1545301274.801 * * [misc]simplify: iters left: 4 (26 enodes) 1545301274.808 * * [misc]simplify: iters left: 3 (32 enodes) 1545301274.814 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545301274.814 * [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))))))) 1545301274.814 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1545301274.814 * * [misc]simplify: iters left: 6 (7 enodes) 1545301274.816 * * [misc]simplify: iters left: 5 (12 enodes) 1545301274.820 * * [misc]simplify: iters left: 4 (19 enodes) 1545301274.826 * * [misc]simplify: iters left: 3 (38 enodes) 1545301274.835 * * [misc]simplify: iters left: 2 (46 enodes) 1545301274.841 * [exit]simplify: Simplified to 0 1545301274.841 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1545301274.841 * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # 1545301274.842 * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) 1545301274.842 * * [misc]simplify: iters left: 6 (9 enodes) 1545301274.844 * * [misc]simplify: iters left: 5 (14 enodes) 1545301274.848 * * [misc]simplify: iters left: 4 (18 enodes) 1545301274.852 * * [misc]simplify: iters left: 3 (23 enodes) 1545301274.857 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545301274.857 * [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)))))) 1545301274.857 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1545301274.857 * * [misc]simplify: iters left: 5 (6 enodes) 1545301274.859 * * [misc]simplify: iters left: 4 (8 enodes) 1545301274.861 * * [misc]simplify: iters left: 3 (14 enodes) 1545301274.864 * * [misc]simplify: iters left: 2 (20 enodes) 1545301274.871 * * [misc]simplify: iters left: 1 (22 enodes) 1545301274.873 * [exit]simplify: Simplified to 0 1545301274.873 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1545301274.873 * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # 1545301274.873 * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) 1545301274.873 * * [misc]simplify: iters left: 6 (9 enodes) 1545301274.875 * * [misc]simplify: iters left: 5 (19 enodes) 1545301274.878 * * [misc]simplify: iters left: 4 (26 enodes) 1545301274.883 * * [misc]simplify: iters left: 3 (37 enodes) 1545301274.886 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545301274.886 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1545301274.886 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1545301274.887 * * [misc]simplify: iters left: 4 (6 enodes) 1545301274.888 * * [misc]simplify: iters left: 3 (11 enodes) 1545301274.890 * * [misc]simplify: iters left: 2 (21 enodes) 1545301274.893 * * [misc]simplify: iters left: 1 (30 enodes) 1545301274.896 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1545301274.896 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1545301274.896 * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # 1545301274.896 * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1545301274.896 * * [misc]simplify: iters left: 6 (9 enodes) 1545301274.897 * * [misc]simplify: iters left: 5 (18 enodes) 1545301274.900 * * [misc]simplify: iters left: 4 (24 enodes) 1545301274.904 * * [misc]simplify: iters left: 3 (29 enodes) 1545301274.907 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545301274.907 * [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))))))) 1545301274.907 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1545301274.907 * * [misc]simplify: iters left: 6 (7 enodes) 1545301274.908 * * [misc]simplify: iters left: 5 (12 enodes) 1545301274.910 * * [misc]simplify: iters left: 4 (19 enodes) 1545301274.913 * * [misc]simplify: iters left: 3 (38 enodes) 1545301274.919 * * [misc]simplify: iters left: 2 (46 enodes) 1545301274.922 * [exit]simplify: Simplified to 0 1545301274.922 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1545301274.922 * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # 1545301274.922 * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) 1545301274.923 * * [misc]simplify: iters left: 6 (8 enodes) 1545301274.924 * * [misc]simplify: iters left: 5 (13 enodes) 1545301274.926 * * [misc]simplify: iters left: 4 (16 enodes) 1545301274.928 * * [misc]simplify: iters left: 3 (22 enodes) 1545301274.931 * * [misc]simplify: iters left: 2 (25 enodes) 1545301274.934 * * [misc]simplify: iters left: 1 (40 enodes) 1545301274.941 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545301274.941 * [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)))))) 1545301274.941 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1545301274.941 * * [misc]simplify: iters left: 5 (6 enodes) 1545301274.942 * * [misc]simplify: iters left: 4 (8 enodes) 1545301274.943 * * [misc]simplify: iters left: 3 (14 enodes) 1545301274.945 * * [misc]simplify: iters left: 2 (20 enodes) 1545301274.948 * * [misc]simplify: iters left: 1 (22 enodes) 1545301274.950 * [exit]simplify: Simplified to 0 1545301274.950 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1545301274.950 * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # 1545301274.950 * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) 1545301274.950 * * [misc]simplify: iters left: 6 (8 enodes) 1545301274.952 * * [misc]simplify: iters left: 5 (18 enodes) 1545301274.955 * * [misc]simplify: iters left: 4 (24 enodes) 1545301274.959 * * [misc]simplify: iters left: 3 (33 enodes) 1545301274.962 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545301274.962 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1545301274.962 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1545301274.962 * * [misc]simplify: iters left: 4 (6 enodes) 1545301274.963 * * [misc]simplify: iters left: 3 (11 enodes) 1545301274.966 * * [misc]simplify: iters left: 2 (21 enodes) 1545301274.969 * * [misc]simplify: iters left: 1 (30 enodes) 1545301274.972 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1545301274.972 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1545301274.972 * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # 1545301274.972 * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1545301274.972 * * [misc]simplify: iters left: 6 (9 enodes) 1545301274.974 * * [misc]simplify: iters left: 5 (20 enodes) 1545301274.977 * * [misc]simplify: iters left: 4 (27 enodes) 1545301274.982 * * [misc]simplify: iters left: 3 (36 enodes) 1545301274.985 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545301274.985 * [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))))))) 1545301274.986 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1545301274.986 * * [misc]simplify: iters left: 6 (7 enodes) 1545301274.987 * * [misc]simplify: iters left: 5 (12 enodes) 1545301274.989 * * [misc]simplify: iters left: 4 (19 enodes) 1545301274.992 * * [misc]simplify: iters left: 3 (38 enodes) 1545301274.997 * * [misc]simplify: iters left: 2 (46 enodes) 1545301275.001 * [exit]simplify: Simplified to 0 1545301275.001 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1545301275.001 * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # 1545301275.001 * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))) 1545301275.001 * * [misc]simplify: iters left: 6 (8 enodes) 1545301275.003 * * [misc]simplify: iters left: 5 (15 enodes) 1545301275.005 * * [misc]simplify: iters left: 4 (19 enodes) 1545301275.009 * * [misc]simplify: iters left: 3 (26 enodes) 1545301275.014 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545301275.015 * [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)))))) 1545301275.015 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1545301275.015 * * [misc]simplify: iters left: 5 (6 enodes) 1545301275.017 * * [misc]simplify: iters left: 4 (8 enodes) 1545301275.019 * * [misc]simplify: iters left: 3 (14 enodes) 1545301275.023 * * [misc]simplify: iters left: 2 (20 enodes) 1545301275.028 * * [misc]simplify: iters left: 1 (22 enodes) 1545301275.031 * [exit]simplify: Simplified to 0 1545301275.031 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1545301275.031 * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # 1545301275.032 * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (log N) 1))) 1545301275.032 * * [misc]simplify: iters left: 6 (7 enodes) 1545301275.035 * * [misc]simplify: iters left: 5 (17 enodes) 1545301275.041 * * [misc]simplify: iters left: 4 (24 enodes) 1545301275.051 * * [misc]simplify: iters left: 3 (36 enodes) 1545301275.059 * * [misc]simplify: iters left: 2 (39 enodes) 1545301275.066 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545301275.066 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1545301275.067 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1545301275.067 * * [misc]simplify: iters left: 4 (6 enodes) 1545301275.069 * * [misc]simplify: iters left: 3 (11 enodes) 1545301275.073 * * [misc]simplify: iters left: 2 (21 enodes) 1545301275.079 * * [misc]simplify: iters left: 1 (30 enodes) 1545301275.084 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1545301275.084 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1545301275.085 * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # 1545301275.085 * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # 1545301275.085 * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # 1545301275.085 * [enter]simplify: Simplifying (* (cbrt (log1p N)) (cbrt (log1p N))) 1545301275.085 * * [misc]simplify: iters left: 4 (4 enodes) 1545301275.086 * [exit]simplify: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) 1545301275.086 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (log N)))) 1545301275.086 * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # 1545301275.087 * [enter]simplify: Simplifying (sqrt (log1p N)) 1545301275.087 * * [misc]simplify: iters left: 2 (3 enodes) 1545301275.087 * [exit]simplify: Simplified to (sqrt (log1p N)) 1545301275.088 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) 1545301275.088 * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # 1545301275.088 * * * * [misc]progress: [ 15 / 32 ] simplifiying candidate # 1545301275.088 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1545301275.088 * * [misc]simplify: iters left: 4 (4 enodes) 1545301275.090 * * [misc]simplify: iters left: 3 (7 enodes) 1545301275.091 * [exit]simplify: Simplified to (/ (+ N 1) N) 1545301275.091 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 1545301275.091 * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # 1545301275.092 * [enter]simplify: Simplifying (/ (exp (log1p N)) N) 1545301275.092 * * [misc]simplify: iters left: 4 (4 enodes) 1545301275.093 * [exit]simplify: Simplified to (/ (exp (log1p N)) N) 1545301275.093 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (exp (log1p N)) N))) 1545301275.093 * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # 1545301275.093 * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # 1545301275.093 * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # 1545301275.093 * * * * [misc]progress: [ 20 / 32 ] simplifiying candidate # 1545301275.093 * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # 1545301275.093 * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # 1545301275.093 * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # 1545301275.093 * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # 1545301275.093 * * * * [misc]progress: [ 25 / 32 ] simplifiying candidate # 1545301275.094 * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # 1545301275.094 * * * * [misc]progress: [ 27 / 32 ] simplifiying candidate # 1545301275.094 * [enter]simplify: Simplifying (+ (sqrt (log1p N)) (sqrt (log N))) 1545301275.094 * * [misc]simplify: iters left: 4 (6 enodes) 1545301275.096 * * [misc]simplify: iters left: 3 (7 enodes) 1545301275.097 * [exit]simplify: Simplified to (+ (sqrt (log1p N)) (sqrt (log N))) 1545301275.097 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))))) 1545301275.098 * [enter]simplify: Simplifying (- (sqrt (log1p N)) (sqrt (log N))) 1545301275.098 * * [misc]simplify: iters left: 4 (6 enodes) 1545301275.100 * * [misc]simplify: iters left: 3 (8 enodes) 1545301275.102 * * [misc]simplify: iters left: 2 (9 enodes) 1545301275.104 * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) 1545301275.104 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))))) 1545301275.104 * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # 1545301275.104 * [enter]simplify: Simplifying (- (log1p N) (log N)) 1545301275.104 * * [misc]simplify: iters left: 3 (4 enodes) 1545301275.105 * * [misc]simplify: iters left: 2 (6 enodes) 1545301275.106 * * [misc]simplify: iters left: 1 (7 enodes) 1545301275.106 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1545301275.106 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) 1545301275.107 * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # 1545301275.107 * * * * [misc]progress: [ 30 / 32 ] simplifiying candidate # 1545301275.107 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1545301275.107 * * [misc]simplify: iters left: 6 (8 enodes) 1545301275.108 * * [misc]simplify: iters left: 5 (15 enodes) 1545301275.110 * * [misc]simplify: iters left: 4 (29 enodes) 1545301275.116 * * [misc]simplify: iters left: 3 (55 enodes) 1545301275.125 * * [misc]simplify: iters left: 2 (104 enodes) 1545301275.146 * * [misc]simplify: iters left: 1 (143 enodes) 1545301275.191 * [exit]simplify: Simplified to (fma (* N -1/2) N (- N (log N))) 1545301275.191 * [misc]simplify: Simplified (2) to (λ (N) (fma (* N -1/2) N (- N (log N)))) 1545301275.191 * * * * [misc]progress: [ 31 / 32 ] simplifiying candidate # 1545301275.191 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545301275.191 * * [misc]simplify: iters left: 6 (15 enodes) 1545301275.195 * * [misc]simplify: iters left: 5 (32 enodes) 1545301275.202 * * [misc]simplify: iters left: 4 (61 enodes) 1545301275.220 * * [misc]simplify: iters left: 3 (103 enodes) 1545301275.263 * * [misc]simplify: iters left: 2 (168 enodes) 1545301275.313 * * [misc]simplify: iters left: 1 (248 enodes) 1545301275.398 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1545301275.398 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545301275.398 * * * * [misc]progress: [ 32 / 32 ] simplifiying candidate # 1545301275.398 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545301275.398 * * [misc]simplify: iters left: 6 (15 enodes) 1545301275.402 * * [misc]simplify: iters left: 5 (32 enodes) 1545301275.410 * * [misc]simplify: iters left: 4 (61 enodes) 1545301275.425 * * [misc]simplify: iters left: 3 (103 enodes) 1545301275.468 * * [misc]simplify: iters left: 2 (168 enodes) 1545301275.514 * * [misc]simplify: iters left: 1 (248 enodes) 1545301275.584 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1545301275.584 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545301275.584 * * * [misc]progress: adding candidates to table 1545301275.869 * * [misc]progress: iteration 2 / 4 1545301275.869 * * * [misc]progress: picking best candidate 1545301275.875 * * * * [misc]pick: Picked # 1545301275.875 * * * [misc]progress: localizing error 1545301275.882 * * * [misc]progress: generating rewritten candidates 1545301275.882 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1545301275.884 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1545301275.886 * * * [misc]progress: generating series expansions 1545301275.886 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1545301275.886 * [misc]backup-simplify: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1545301275.887 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1545301275.887 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545301275.887 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545301275.887 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545301275.887 * [misc]taylor: Taking taylor expansion of N in N 1545301275.887 * [misc]backup-simplify: Simplify 0 into 0 1545301275.887 * [misc]backup-simplify: Simplify 1 into 1 1545301275.887 * [misc]taylor: Taking taylor expansion of 1 in N 1545301275.887 * [misc]backup-simplify: Simplify 1 into 1 1545301275.887 * [misc]taylor: Taking taylor expansion of N in N 1545301275.887 * [misc]backup-simplify: Simplify 0 into 0 1545301275.887 * [misc]backup-simplify: Simplify 1 into 1 1545301275.887 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301275.887 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301275.887 * [misc]backup-simplify: Simplify (log 1) into 0 1545301275.887 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1545301275.887 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545301275.887 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545301275.887 * [misc]taylor: Taking taylor expansion of N in N 1545301275.887 * [misc]backup-simplify: Simplify 0 into 0 1545301275.887 * [misc]backup-simplify: Simplify 1 into 1 1545301275.887 * [misc]taylor: Taking taylor expansion of 1 in N 1545301275.887 * [misc]backup-simplify: Simplify 1 into 1 1545301275.888 * [misc]taylor: Taking taylor expansion of N in N 1545301275.888 * [misc]backup-simplify: Simplify 0 into 0 1545301275.888 * [misc]backup-simplify: Simplify 1 into 1 1545301275.888 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301275.888 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301275.888 * [misc]backup-simplify: Simplify (log 1) into 0 1545301275.888 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1545301275.888 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1545301275.889 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545301275.889 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545301275.891 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545301275.891 * [misc]backup-simplify: Simplify 1 into 1 1545301275.892 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.892 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545301275.896 * [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 1545301275.896 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545301275.896 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1545301275.897 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1545301275.897 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1545301275.897 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545301275.897 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545301275.897 * [misc]taylor: Taking taylor expansion of N in N 1545301275.897 * [misc]backup-simplify: Simplify 0 into 0 1545301275.897 * [misc]backup-simplify: Simplify 1 into 1 1545301275.897 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545301275.897 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301275.897 * [misc]taylor: Taking taylor expansion of N in N 1545301275.897 * [misc]backup-simplify: Simplify 0 into 0 1545301275.897 * [misc]backup-simplify: Simplify 1 into 1 1545301275.897 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301275.897 * [misc]taylor: Taking taylor expansion of 1 in N 1545301275.897 * [misc]backup-simplify: Simplify 1 into 1 1545301275.897 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545301275.897 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545301275.898 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301275.898 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301275.898 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545301275.898 * [misc]backup-simplify: Simplify (log 1) into 0 1545301275.898 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1545301275.898 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545301275.898 * [misc]taylor: Taking taylor expansion of N in N 1545301275.898 * [misc]backup-simplify: Simplify 0 into 0 1545301275.898 * [misc]backup-simplify: Simplify 1 into 1 1545301275.898 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545301275.898 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301275.898 * [misc]taylor: Taking taylor expansion of N in N 1545301275.898 * [misc]backup-simplify: Simplify 0 into 0 1545301275.898 * [misc]backup-simplify: Simplify 1 into 1 1545301275.899 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301275.899 * [misc]taylor: Taking taylor expansion of 1 in N 1545301275.899 * [misc]backup-simplify: Simplify 1 into 1 1545301275.899 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545301275.899 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545301275.899 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301275.899 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301275.900 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545301275.900 * [misc]backup-simplify: Simplify (log 1) into 0 1545301275.900 * [misc]backup-simplify: Simplify 0 into 0 1545301275.900 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.900 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.901 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545301275.903 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1545301275.903 * [misc]backup-simplify: Simplify 1 into 1 1545301275.903 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.904 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.904 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545301275.908 * [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 1545301275.908 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545301275.909 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.909 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.909 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545301275.916 * [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 1545301275.916 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301275.916 * [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)))) 1545301275.916 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1545301275.916 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1545301275.916 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545301275.916 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545301275.916 * [misc]taylor: Taking taylor expansion of -1 in N 1545301275.916 * [misc]backup-simplify: Simplify -1 into -1 1545301275.916 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545301275.916 * [misc]taylor: Taking taylor expansion of N in N 1545301275.917 * [misc]backup-simplify: Simplify 0 into 0 1545301275.917 * [misc]backup-simplify: Simplify 1 into 1 1545301275.917 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545301275.917 * [misc]taylor: Taking taylor expansion of 1 in N 1545301275.917 * [misc]backup-simplify: Simplify 1 into 1 1545301275.917 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301275.917 * [misc]taylor: Taking taylor expansion of N in N 1545301275.917 * [misc]backup-simplify: Simplify 0 into 0 1545301275.917 * [misc]backup-simplify: Simplify 1 into 1 1545301275.917 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301275.917 * [misc]backup-simplify: Simplify (- 1) into -1 1545301275.917 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545301275.917 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545301275.917 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545301275.918 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301275.918 * [misc]backup-simplify: Simplify (- 0) into 0 1545301275.918 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545301275.918 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545301275.918 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545301275.919 * [misc]backup-simplify: Simplify (log 1) into 0 1545301275.919 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1545301275.919 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545301275.919 * [misc]taylor: Taking taylor expansion of -1 in N 1545301275.919 * [misc]backup-simplify: Simplify -1 into -1 1545301275.919 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545301275.919 * [misc]taylor: Taking taylor expansion of N in N 1545301275.919 * [misc]backup-simplify: Simplify 0 into 0 1545301275.919 * [misc]backup-simplify: Simplify 1 into 1 1545301275.919 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545301275.919 * [misc]taylor: Taking taylor expansion of 1 in N 1545301275.919 * [misc]backup-simplify: Simplify 1 into 1 1545301275.919 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301275.919 * [misc]taylor: Taking taylor expansion of N in N 1545301275.919 * [misc]backup-simplify: Simplify 0 into 0 1545301275.919 * [misc]backup-simplify: Simplify 1 into 1 1545301275.919 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301275.919 * [misc]backup-simplify: Simplify (- 1) into -1 1545301275.919 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545301275.920 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545301275.920 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545301275.920 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301275.920 * [misc]backup-simplify: Simplify (- 0) into 0 1545301275.920 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545301275.920 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545301275.921 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545301275.921 * [misc]backup-simplify: Simplify (log 1) into 0 1545301275.921 * [misc]backup-simplify: Simplify 0 into 0 1545301275.921 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.921 * [misc]backup-simplify: Simplify (- 0) into 0 1545301275.922 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.922 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545301275.922 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545301275.924 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1545301275.925 * [misc]backup-simplify: Simplify -1 into -1 1545301275.925 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.925 * [misc]backup-simplify: Simplify (- 0) into 0 1545301275.926 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.926 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545301275.926 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545301275.930 * [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 1545301275.930 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545301275.931 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.931 * [misc]backup-simplify: Simplify (- 0) into 0 1545301275.931 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.931 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545301275.932 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545301275.938 * [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 1545301275.938 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545301275.939 * [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)))) 1545301275.939 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1545301275.939 * [misc]backup-simplify: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 1545301275.939 * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1545301275.939 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545301275.939 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545301275.939 * [misc]taylor: Taking taylor expansion of N in N 1545301275.939 * [misc]backup-simplify: Simplify 0 into 0 1545301275.939 * [misc]backup-simplify: Simplify 1 into 1 1545301275.939 * [misc]taylor: Taking taylor expansion of 1 in N 1545301275.939 * [misc]backup-simplify: Simplify 1 into 1 1545301275.939 * [misc]taylor: Taking taylor expansion of N in N 1545301275.939 * [misc]backup-simplify: Simplify 0 into 0 1545301275.939 * [misc]backup-simplify: Simplify 1 into 1 1545301275.939 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301275.939 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301275.939 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1545301275.939 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545301275.939 * [misc]taylor: Taking taylor expansion of N in N 1545301275.940 * [misc]backup-simplify: Simplify 0 into 0 1545301275.940 * [misc]backup-simplify: Simplify 1 into 1 1545301275.940 * [misc]taylor: Taking taylor expansion of 1 in N 1545301275.940 * [misc]backup-simplify: Simplify 1 into 1 1545301275.940 * [misc]taylor: Taking taylor expansion of N in N 1545301275.940 * [misc]backup-simplify: Simplify 0 into 0 1545301275.940 * [misc]backup-simplify: Simplify 1 into 1 1545301275.940 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301275.940 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301275.940 * [misc]backup-simplify: Simplify 1 into 1 1545301275.940 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545301275.940 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545301275.941 * [misc]backup-simplify: Simplify 1 into 1 1545301275.941 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.941 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545301275.941 * [misc]backup-simplify: Simplify 0 into 0 1545301275.941 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.942 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.942 * [misc]backup-simplify: Simplify 0 into 0 1545301275.942 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.942 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.942 * [misc]backup-simplify: Simplify 0 into 0 1545301275.942 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.943 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.943 * [misc]backup-simplify: Simplify 0 into 0 1545301275.943 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.944 * [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 1545301275.944 * [misc]backup-simplify: Simplify 0 into 0 1545301275.944 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.944 * [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 1545301275.944 * [misc]backup-simplify: Simplify 0 into 0 1545301275.945 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1545301275.945 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1545301275.945 * [misc]approximate: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1545301275.945 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545301275.945 * [misc]taylor: Taking taylor expansion of N in N 1545301275.945 * [misc]backup-simplify: Simplify 0 into 0 1545301275.945 * [misc]backup-simplify: Simplify 1 into 1 1545301275.945 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545301275.945 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301275.945 * [misc]taylor: Taking taylor expansion of N in N 1545301275.945 * [misc]backup-simplify: Simplify 0 into 0 1545301275.945 * [misc]backup-simplify: Simplify 1 into 1 1545301275.945 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301275.945 * [misc]taylor: Taking taylor expansion of 1 in N 1545301275.945 * [misc]backup-simplify: Simplify 1 into 1 1545301275.945 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1545301275.945 * [misc]taylor: Taking taylor expansion of N in N 1545301275.945 * [misc]backup-simplify: Simplify 0 into 0 1545301275.945 * [misc]backup-simplify: Simplify 1 into 1 1545301275.945 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545301275.945 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301275.945 * [misc]taylor: Taking taylor expansion of N in N 1545301275.945 * [misc]backup-simplify: Simplify 0 into 0 1545301275.945 * [misc]backup-simplify: Simplify 1 into 1 1545301275.946 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301275.946 * [misc]taylor: Taking taylor expansion of 1 in N 1545301275.946 * [misc]backup-simplify: Simplify 1 into 1 1545301275.946 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545301275.946 * [misc]backup-simplify: Simplify (* 0 1) into 0 1545301275.946 * [misc]backup-simplify: Simplify 0 into 0 1545301275.946 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301275.946 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301275.947 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1545301275.947 * [misc]backup-simplify: Simplify 1 into 1 1545301275.950 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.950 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.950 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1545301275.950 * [misc]backup-simplify: Simplify 1 into 1 1545301275.951 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.951 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.951 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1545301275.951 * [misc]backup-simplify: Simplify 0 into 0 1545301275.952 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.952 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.952 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1545301275.952 * [misc]backup-simplify: Simplify 0 into 0 1545301275.953 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.953 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.953 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1545301275.953 * [misc]backup-simplify: Simplify 0 into 0 1545301275.954 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.954 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.954 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1545301275.954 * [misc]backup-simplify: Simplify 0 into 0 1545301275.955 * [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 1545301275.955 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.956 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1545301275.956 * [misc]backup-simplify: Simplify 0 into 0 1545301275.956 * [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 1545301275.956 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.957 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1545301275.957 * [misc]backup-simplify: Simplify 0 into 0 1545301275.957 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1545301275.957 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1545301275.957 * [misc]approximate: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1545301275.957 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545301275.958 * [misc]taylor: Taking taylor expansion of -1 in N 1545301275.958 * [misc]backup-simplify: Simplify -1 into -1 1545301275.958 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545301275.958 * [misc]taylor: Taking taylor expansion of N in N 1545301275.958 * [misc]backup-simplify: Simplify 0 into 0 1545301275.958 * [misc]backup-simplify: Simplify 1 into 1 1545301275.958 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545301275.958 * [misc]taylor: Taking taylor expansion of 1 in N 1545301275.958 * [misc]backup-simplify: Simplify 1 into 1 1545301275.958 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301275.958 * [misc]taylor: Taking taylor expansion of N in N 1545301275.958 * [misc]backup-simplify: Simplify 0 into 0 1545301275.958 * [misc]backup-simplify: Simplify 1 into 1 1545301275.958 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301275.958 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1545301275.958 * [misc]taylor: Taking taylor expansion of -1 in N 1545301275.958 * [misc]backup-simplify: Simplify -1 into -1 1545301275.958 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1545301275.958 * [misc]taylor: Taking taylor expansion of N in N 1545301275.958 * [misc]backup-simplify: Simplify 0 into 0 1545301275.958 * [misc]backup-simplify: Simplify 1 into 1 1545301275.958 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545301275.958 * [misc]taylor: Taking taylor expansion of 1 in N 1545301275.958 * [misc]backup-simplify: Simplify 1 into 1 1545301275.958 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301275.958 * [misc]taylor: Taking taylor expansion of N in N 1545301275.958 * [misc]backup-simplify: Simplify 0 into 0 1545301275.958 * [misc]backup-simplify: Simplify 1 into 1 1545301275.958 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301275.959 * [misc]backup-simplify: Simplify (- 1) into -1 1545301275.959 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545301275.959 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545301275.959 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545301275.959 * [misc]backup-simplify: Simplify 0 into 0 1545301275.959 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301275.960 * [misc]backup-simplify: Simplify (- 0) into 0 1545301275.960 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545301275.960 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545301275.960 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1545301275.960 * [misc]backup-simplify: Simplify 1 into 1 1545301275.960 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.961 * [misc]backup-simplify: Simplify (- 0) into 0 1545301275.961 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.961 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545301275.961 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1545301275.961 * [misc]backup-simplify: Simplify -1 into -1 1545301275.962 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.962 * [misc]backup-simplify: Simplify (- 0) into 0 1545301275.962 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.962 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545301275.963 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1545301275.963 * [misc]backup-simplify: Simplify 0 into 0 1545301275.963 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.963 * [misc]backup-simplify: Simplify (- 0) into 0 1545301275.963 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.963 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545301275.964 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1545301275.964 * [misc]backup-simplify: Simplify 0 into 0 1545301275.964 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.964 * [misc]backup-simplify: Simplify (- 0) into 0 1545301275.964 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.964 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1545301275.965 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1545301275.965 * [misc]backup-simplify: Simplify 0 into 0 1545301275.965 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301275.965 * [misc]backup-simplify: Simplify (- 0) into 0 1545301275.965 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.965 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1545301275.966 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1545301275.966 * [misc]backup-simplify: Simplify 0 into 0 1545301275.966 * [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 1545301275.966 * [misc]backup-simplify: Simplify (- 0) into 0 1545301275.966 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.966 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1545301275.967 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1545301275.967 * [misc]backup-simplify: Simplify 0 into 0 1545301275.967 * [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 1545301275.967 * [misc]backup-simplify: Simplify (- 0) into 0 1545301275.967 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301275.968 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1545301275.968 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1545301275.968 * [misc]backup-simplify: Simplify 0 into 0 1545301275.968 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1545301275.968 * * * [misc]progress: simplifying candidates 1545301275.968 * * * * [misc]progress: [ 1 / 39 ] simplifiying candidate # 1545301275.968 * * * * [misc]progress: [ 2 / 39 ] simplifiying candidate # 1545301275.968 * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # 1545301275.968 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1545301275.969 * * [misc]simplify: iters left: 6 (7 enodes) 1545301275.970 * * [misc]simplify: iters left: 5 (12 enodes) 1545301275.971 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1545301275.971 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N))))) 1545301275.971 * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # 1545301275.972 * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) 1545301275.972 * * [misc]simplify: iters left: 6 (6 enodes) 1545301275.973 * * [misc]simplify: iters left: 5 (9 enodes) 1545301275.974 * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) 1545301275.974 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 1545301275.974 * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # 1545301275.974 * [enter]simplify: Simplifying (log 1) 1545301275.974 * * [misc]simplify: iters left: 1 (2 enodes) 1545301275.975 * [exit]simplify: Simplified to 0 1545301275.975 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ 1 N) N)))) 1545301275.975 * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # 1545301275.975 * [enter]simplify: Simplifying (log (+ 1 N)) 1545301275.975 * * [misc]simplify: iters left: 3 (4 enodes) 1545301275.976 * * [misc]simplify: iters left: 2 (8 enodes) 1545301275.977 * [exit]simplify: Simplified to (log1p N) 1545301275.977 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log1p N) (log (/ 1 N)))) 1545301275.977 * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # 1545301275.977 * [enter]simplify: Simplifying (log (+ 1 N)) 1545301275.977 * * [misc]simplify: iters left: 3 (4 enodes) 1545301275.978 * * [misc]simplify: iters left: 2 (8 enodes) 1545301275.979 * [exit]simplify: Simplified to (log1p N) 1545301275.979 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log1p N) (log N))) 1545301275.979 * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # 1545301275.979 * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # 1545301275.979 * * * * [misc]progress: [ 10 / 39 ] simplifiying candidate # 1545301275.979 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1545301275.979 * * [misc]simplify: iters left: 4 (4 enodes) 1545301275.980 * * [misc]simplify: iters left: 3 (7 enodes) 1545301275.981 * [exit]simplify: Simplified to (/ (+ N 1) N) 1545301275.981 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 1545301275.981 * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 21 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 27 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 28 / 39 ] simplifiying candidate # 1545301275.981 * * * * [misc]progress: [ 29 / 39 ] simplifiying candidate # 1545301275.981 * [enter]simplify: Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1545301275.981 * * [misc]simplify: iters left: 5 (5 enodes) 1545301275.982 * * [misc]simplify: iters left: 4 (8 enodes) 1545301275.983 * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1545301275.983 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ N (cbrt (+ 1 N)))))) 1545301275.983 * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # 1545301275.984 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1545301275.984 * * [misc]simplify: iters left: 3 (4 enodes) 1545301275.984 * * [misc]simplify: iters left: 2 (7 enodes) 1545301275.985 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1545301275.985 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ N 1)) (/ N (sqrt (+ 1 N)))))) 1545301275.985 * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # 1545301275.985 * * * * [misc]progress: [ 32 / 39 ] simplifiying candidate # 1545301275.985 * [enter]simplify: Simplifying (+ (pow 1 3) (pow N 3)) 1545301275.985 * * [misc]simplify: iters left: 3 (6 enodes) 1545301275.987 * * [misc]simplify: iters left: 2 (14 enodes) 1545301275.989 * * [misc]simplify: iters left: 1 (16 enodes) 1545301275.991 * [exit]simplify: Simplified to (fma (* N N) N 1) 1545301275.991 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (fma (* N N) N 1) (* N (+ (* 1 1) (- (* N N) (* 1 N))))))) 1545301275.991 * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # 1545301275.991 * [enter]simplify: Simplifying (- (* 1 1) (* N N)) 1545301275.991 * * [misc]simplify: iters left: 4 (5 enodes) 1545301275.992 * * [misc]simplify: iters left: 3 (10 enodes) 1545301275.993 * * [misc]simplify: iters left: 2 (14 enodes) 1545301275.995 * * [misc]simplify: iters left: 1 (16 enodes) 1545301275.997 * [exit]simplify: Simplified to (- 1 (* N N)) 1545301275.997 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (- 1 (* N N)) (* N (- 1 N))))) 1545301275.997 * * * * [misc]progress: [ 34 / 39 ] simplifiying candidate # 1545301275.997 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1545301275.997 * * [misc]simplify: iters left: 6 (8 enodes) 1545301275.999 * * [misc]simplify: iters left: 5 (15 enodes) 1545301276.003 * * [misc]simplify: iters left: 4 (29 enodes) 1545301276.014 * * [misc]simplify: iters left: 3 (55 enodes) 1545301276.034 * * [misc]simplify: iters left: 2 (104 enodes) 1545301276.063 * * [misc]simplify: iters left: 1 (143 enodes) 1545301276.114 * [exit]simplify: Simplified to (fma (* N -1/2) N (- N (log N))) 1545301276.114 * [misc]simplify: Simplified (2) to (λ (N) (fma (* N -1/2) N (- N (log N)))) 1545301276.114 * * * * [misc]progress: [ 35 / 39 ] simplifiying candidate # 1545301276.114 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545301276.114 * * [misc]simplify: iters left: 6 (15 enodes) 1545301276.118 * * [misc]simplify: iters left: 5 (32 enodes) 1545301276.126 * * [misc]simplify: iters left: 4 (61 enodes) 1545301276.140 * * [misc]simplify: iters left: 3 (103 enodes) 1545301276.169 * * [misc]simplify: iters left: 2 (168 enodes) 1545301276.203 * * [misc]simplify: iters left: 1 (248 enodes) 1545301276.266 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1545301276.266 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545301276.266 * * * * [misc]progress: [ 36 / 39 ] simplifiying candidate # 1545301276.266 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545301276.266 * * [misc]simplify: iters left: 6 (15 enodes) 1545301276.270 * * [misc]simplify: iters left: 5 (32 enodes) 1545301276.279 * * [misc]simplify: iters left: 4 (61 enodes) 1545301276.301 * * [misc]simplify: iters left: 3 (103 enodes) 1545301276.324 * * [misc]simplify: iters left: 2 (168 enodes) 1545301276.375 * * [misc]simplify: iters left: 1 (248 enodes) 1545301276.434 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1545301276.435 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545301276.435 * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # 1545301276.435 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1545301276.435 * * [misc]simplify: iters left: 4 (4 enodes) 1545301276.436 * * [misc]simplify: iters left: 3 (7 enodes) 1545301276.437 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1545301276.437 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1545301276.437 * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # 1545301276.437 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1545301276.437 * * [misc]simplify: iters left: 4 (4 enodes) 1545301276.438 * * [misc]simplify: iters left: 3 (7 enodes) 1545301276.438 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1545301276.438 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1545301276.438 * * * * [misc]progress: [ 39 / 39 ] simplifiying candidate # 1545301276.439 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1545301276.439 * * [misc]simplify: iters left: 4 (4 enodes) 1545301276.439 * * [misc]simplify: iters left: 3 (7 enodes) 1545301276.440 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1545301276.440 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1545301276.440 * * * [misc]progress: adding candidates to table 1545301276.683 * * [misc]progress: iteration 3 / 4 1545301276.683 * * * [misc]progress: picking best candidate 1545301276.686 * * * * [misc]pick: Picked # 1545301276.686 * * * [misc]progress: localizing error 1545301276.716 * * * [misc]progress: generating rewritten candidates 1545301276.716 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1545301276.720 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 1) 1545301276.720 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1545301276.720 * * * [misc]progress: generating series expansions 1545301276.721 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1545301276.721 * [misc]backup-simplify: Simplify (/ 1 (* N N)) into (/ 1 (pow N 2)) 1545301276.721 * [misc]approximate: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 1545301276.721 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1545301276.721 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301276.721 * [misc]taylor: Taking taylor expansion of N in N 1545301276.721 * [misc]backup-simplify: Simplify 0 into 0 1545301276.721 * [misc]backup-simplify: Simplify 1 into 1 1545301276.721 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301276.721 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301276.721 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1545301276.721 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301276.721 * [misc]taylor: Taking taylor expansion of N in N 1545301276.721 * [misc]backup-simplify: Simplify 0 into 0 1545301276.721 * [misc]backup-simplify: Simplify 1 into 1 1545301276.721 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301276.721 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301276.722 * [misc]backup-simplify: Simplify 1 into 1 1545301276.722 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301276.722 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301276.722 * [misc]backup-simplify: Simplify 0 into 0 1545301276.722 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1545301276.722 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301276.722 * [misc]backup-simplify: Simplify 0 into 0 1545301276.722 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1545301276.723 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301276.723 * [misc]backup-simplify: Simplify 0 into 0 1545301276.723 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1545301276.723 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301276.723 * [misc]backup-simplify: Simplify 0 into 0 1545301276.723 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1545301276.724 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301276.724 * [misc]backup-simplify: Simplify 0 into 0 1545301276.724 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1545301276.724 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301276.724 * [misc]backup-simplify: Simplify 0 into 0 1545301276.724 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 1545301276.724 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 N) (/ 1 N))) into (pow N 2) 1545301276.724 * [misc]approximate: Taking taylor expansion of (pow N 2) in (N) around 0 1545301276.724 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301276.724 * [misc]taylor: Taking taylor expansion of N in N 1545301276.725 * [misc]backup-simplify: Simplify 0 into 0 1545301276.725 * [misc]backup-simplify: Simplify 1 into 1 1545301276.725 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301276.725 * [misc]taylor: Taking taylor expansion of N in N 1545301276.725 * [misc]backup-simplify: Simplify 0 into 0 1545301276.725 * [misc]backup-simplify: Simplify 1 into 1 1545301276.725 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301276.725 * [misc]backup-simplify: Simplify 1 into 1 1545301276.725 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301276.725 * [misc]backup-simplify: Simplify 0 into 0 1545301276.725 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1545301276.725 * [misc]backup-simplify: Simplify 0 into 0 1545301276.725 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1545301276.725 * [misc]backup-simplify: Simplify 0 into 0 1545301276.726 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1545301276.726 * [misc]backup-simplify: Simplify 0 into 0 1545301276.726 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1545301276.726 * [misc]backup-simplify: Simplify 0 into 0 1545301276.726 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1545301276.726 * [misc]backup-simplify: Simplify 0 into 0 1545301276.726 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 1545301276.726 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) into (pow N 2) 1545301276.726 * [misc]approximate: Taking taylor expansion of (pow N 2) in (N) around 0 1545301276.726 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301276.726 * [misc]taylor: Taking taylor expansion of N in N 1545301276.726 * [misc]backup-simplify: Simplify 0 into 0 1545301276.726 * [misc]backup-simplify: Simplify 1 into 1 1545301276.726 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301276.726 * [misc]taylor: Taking taylor expansion of N in N 1545301276.726 * [misc]backup-simplify: Simplify 0 into 0 1545301276.726 * [misc]backup-simplify: Simplify 1 into 1 1545301276.727 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301276.727 * [misc]backup-simplify: Simplify 1 into 1 1545301276.727 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301276.727 * [misc]backup-simplify: Simplify 0 into 0 1545301276.727 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1545301276.727 * [misc]backup-simplify: Simplify 0 into 0 1545301276.727 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1545301276.727 * [misc]backup-simplify: Simplify 0 into 0 1545301276.727 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1545301276.727 * [misc]backup-simplify: Simplify 0 into 0 1545301276.728 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1545301276.728 * [misc]backup-simplify: Simplify 0 into 0 1545301276.728 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1545301276.728 * [misc]backup-simplify: Simplify 0 into 0 1545301276.728 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 1545301276.728 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 1) 1545301276.728 * [misc]backup-simplify: Simplify (/ 1/3 N) into (/ 1/3 N) 1545301276.728 * [misc]approximate: Taking taylor expansion of (/ 1/3 N) in (N) around 0 1545301276.728 * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N 1545301276.728 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301276.728 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301276.728 * [misc]taylor: Taking taylor expansion of N in N 1545301276.728 * [misc]backup-simplify: Simplify 0 into 0 1545301276.728 * [misc]backup-simplify: Simplify 1 into 1 1545301276.728 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 1545301276.728 * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N 1545301276.728 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301276.728 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301276.728 * [misc]taylor: Taking taylor expansion of N in N 1545301276.728 * [misc]backup-simplify: Simplify 0 into 0 1545301276.729 * [misc]backup-simplify: Simplify 1 into 1 1545301276.729 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 1545301276.729 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301276.729 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 1545301276.729 * [misc]backup-simplify: Simplify 0 into 0 1545301276.729 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301276.729 * [misc]backup-simplify: Simplify 0 into 0 1545301276.729 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301276.729 * [misc]backup-simplify: Simplify 0 into 0 1545301276.730 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301276.730 * [misc]backup-simplify: Simplify 0 into 0 1545301276.730 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301276.730 * [misc]backup-simplify: Simplify 0 into 0 1545301276.730 * [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 1545301276.730 * [misc]backup-simplify: Simplify 0 into 0 1545301276.730 * [misc]backup-simplify: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 1545301276.730 * [misc]backup-simplify: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 1545301276.730 * [misc]approximate: Taking taylor expansion of (* 1/3 N) in (N) around 0 1545301276.730 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301276.730 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301276.730 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301276.730 * [misc]taylor: Taking taylor expansion of N in N 1545301276.730 * [misc]backup-simplify: Simplify 0 into 0 1545301276.730 * [misc]backup-simplify: Simplify 1 into 1 1545301276.730 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301276.730 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301276.731 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301276.731 * [misc]taylor: Taking taylor expansion of N in N 1545301276.731 * [misc]backup-simplify: Simplify 0 into 0 1545301276.731 * [misc]backup-simplify: Simplify 1 into 1 1545301276.731 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1545301276.731 * [misc]backup-simplify: Simplify 0 into 0 1545301276.731 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1545301276.731 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301276.731 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 1545301276.731 * [misc]backup-simplify: Simplify 0 into 0 1545301276.731 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545301276.731 * [misc]backup-simplify: Simplify 0 into 0 1545301276.731 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1545301276.732 * [misc]backup-simplify: Simplify 0 into 0 1545301276.732 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1545301276.732 * [misc]backup-simplify: Simplify 0 into 0 1545301276.732 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1545301276.732 * [misc]backup-simplify: Simplify 0 into 0 1545301276.732 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1545301276.732 * [misc]backup-simplify: Simplify 0 into 0 1545301276.732 * [misc]backup-simplify: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 1545301276.733 * [misc]backup-simplify: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 1545301276.733 * [misc]approximate: Taking taylor expansion of (* -1/3 N) in (N) around 0 1545301276.733 * [misc]taylor: Taking taylor expansion of (* -1/3 N) in N 1545301276.733 * [misc]taylor: Taking taylor expansion of -1/3 in N 1545301276.733 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545301276.733 * [misc]taylor: Taking taylor expansion of N in N 1545301276.733 * [misc]backup-simplify: Simplify 0 into 0 1545301276.733 * [misc]backup-simplify: Simplify 1 into 1 1545301276.733 * [misc]taylor: Taking taylor expansion of (* -1/3 N) in N 1545301276.733 * [misc]taylor: Taking taylor expansion of -1/3 in N 1545301276.733 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545301276.733 * [misc]taylor: Taking taylor expansion of N in N 1545301276.733 * [misc]backup-simplify: Simplify 0 into 0 1545301276.733 * [misc]backup-simplify: Simplify 1 into 1 1545301276.733 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 1545301276.733 * [misc]backup-simplify: Simplify 0 into 0 1545301276.733 * [misc]backup-simplify: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 1545301276.733 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545301276.733 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 1545301276.733 * [misc]backup-simplify: Simplify 0 into 0 1545301276.733 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545301276.733 * [misc]backup-simplify: Simplify 0 into 0 1545301276.734 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1545301276.734 * [misc]backup-simplify: Simplify 0 into 0 1545301276.734 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1545301276.734 * [misc]backup-simplify: Simplify 0 into 0 1545301276.734 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1545301276.734 * [misc]backup-simplify: Simplify 0 into 0 1545301276.735 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1545301276.735 * [misc]backup-simplify: Simplify 0 into 0 1545301276.735 * [misc]backup-simplify: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 1545301276.735 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1545301276.735 * [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)) 1545301276.735 * [misc]approximate: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in (N) around 0 1545301276.735 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1545301276.735 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1545301276.735 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1545301276.735 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1545301276.735 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301276.735 * [misc]taylor: Taking taylor expansion of N in N 1545301276.735 * [misc]backup-simplify: Simplify 0 into 0 1545301276.735 * [misc]backup-simplify: Simplify 1 into 1 1545301276.735 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301276.735 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301276.735 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1545301276.735 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1545301276.735 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301276.735 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301276.735 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301276.735 * [misc]taylor: Taking taylor expansion of N in N 1545301276.735 * [misc]backup-simplify: Simplify 0 into 0 1545301276.735 * [misc]backup-simplify: Simplify 1 into 1 1545301276.736 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301276.736 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301276.736 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301276.736 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301276.736 * [misc]taylor: Taking taylor expansion of N in N 1545301276.736 * [misc]backup-simplify: Simplify 0 into 0 1545301276.736 * [misc]backup-simplify: Simplify 1 into 1 1545301276.736 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301276.736 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1545301276.736 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1545301276.736 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1545301276.736 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1545301276.736 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301276.736 * [misc]taylor: Taking taylor expansion of N in N 1545301276.736 * [misc]backup-simplify: Simplify 0 into 0 1545301276.736 * [misc]backup-simplify: Simplify 1 into 1 1545301276.736 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301276.736 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301276.736 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1545301276.736 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1545301276.736 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301276.736 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301276.736 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301276.736 * [misc]taylor: Taking taylor expansion of N in N 1545301276.736 * [misc]backup-simplify: Simplify 0 into 0 1545301276.736 * [misc]backup-simplify: Simplify 1 into 1 1545301276.736 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301276.736 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301276.736 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301276.736 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301276.736 * [misc]taylor: Taking taylor expansion of N in N 1545301276.736 * [misc]backup-simplify: Simplify 0 into 0 1545301276.736 * [misc]backup-simplify: Simplify 1 into 1 1545301276.737 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301276.737 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 1545301276.737 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301276.737 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 1545301276.737 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301276.737 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301276.737 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301276.737 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1545301276.737 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545301276.737 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545301276.738 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301276.738 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301276.738 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2 1545301276.738 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545301276.738 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545301276.738 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301276.738 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1545301276.738 * [misc]backup-simplify: Simplify (- 0) into 0 1545301276.738 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301276.739 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1545301276.739 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301276.739 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0 1545301276.739 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301276.739 * [misc]backup-simplify: Simplify 1 into 1 1545301276.739 * [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)))) 1545301276.739 * [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) 1545301276.740 * [misc]approximate: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in (N) around 0 1545301276.740 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1545301276.740 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1545301276.740 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1545301276.740 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301276.740 * [misc]taylor: Taking taylor expansion of N in N 1545301276.740 * [misc]backup-simplify: Simplify 0 into 0 1545301276.740 * [misc]backup-simplify: Simplify 1 into 1 1545301276.740 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1545301276.740 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301276.740 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301276.740 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301276.740 * [misc]taylor: Taking taylor expansion of N in N 1545301276.740 * [misc]backup-simplify: Simplify 0 into 0 1545301276.740 * [misc]backup-simplify: Simplify 1 into 1 1545301276.740 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301276.740 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301276.740 * [misc]taylor: Taking taylor expansion of N in N 1545301276.740 * [misc]backup-simplify: Simplify 0 into 0 1545301276.740 * [misc]backup-simplify: Simplify 1 into 1 1545301276.740 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1545301276.740 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1545301276.740 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1545301276.740 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301276.740 * [misc]taylor: Taking taylor expansion of N in N 1545301276.740 * [misc]backup-simplify: Simplify 0 into 0 1545301276.740 * [misc]backup-simplify: Simplify 1 into 1 1545301276.740 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1545301276.740 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301276.740 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301276.740 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301276.740 * [misc]taylor: Taking taylor expansion of N in N 1545301276.740 * [misc]backup-simplify: Simplify 0 into 0 1545301276.740 * [misc]backup-simplify: Simplify 1 into 1 1545301276.740 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301276.740 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301276.740 * [misc]taylor: Taking taylor expansion of N in N 1545301276.740 * [misc]backup-simplify: Simplify 0 into 0 1545301276.740 * [misc]backup-simplify: Simplify 1 into 1 1545301276.741 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301276.741 * [misc]backup-simplify: Simplify 0 into 0 1545301276.741 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301276.741 * [misc]backup-simplify: Simplify 1 into 1 1545301276.741 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301276.741 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1545301276.741 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545301276.741 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545301276.741 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1545301276.741 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545301276.741 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545301276.741 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1545301276.742 * [misc]backup-simplify: Simplify (- 0) into 0 1545301276.742 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301276.742 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301276.742 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 1545301276.742 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301276.742 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301276.742 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545301276.742 * [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)) 1545301276.742 * [misc]approximate: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in (N) around 0 1545301276.742 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1545301276.743 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1545301276.743 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1545301276.743 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301276.743 * [misc]taylor: Taking taylor expansion of N in N 1545301276.743 * [misc]backup-simplify: Simplify 0 into 0 1545301276.743 * [misc]backup-simplify: Simplify 1 into 1 1545301276.743 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1545301276.743 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1545301276.743 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301276.743 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301276.743 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301276.743 * [misc]taylor: Taking taylor expansion of N in N 1545301276.743 * [misc]backup-simplify: Simplify 0 into 0 1545301276.743 * [misc]backup-simplify: Simplify 1 into 1 1545301276.743 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301276.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301276.743 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1545301276.743 * [misc]taylor: Taking taylor expansion of -1 in N 1545301276.743 * [misc]backup-simplify: Simplify -1 into -1 1545301276.743 * [misc]taylor: Taking taylor expansion of N in N 1545301276.743 * [misc]backup-simplify: Simplify 0 into 0 1545301276.743 * [misc]backup-simplify: Simplify 1 into 1 1545301276.743 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1545301276.743 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1545301276.743 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1545301276.743 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301276.743 * [misc]taylor: Taking taylor expansion of N in N 1545301276.743 * [misc]backup-simplify: Simplify 0 into 0 1545301276.743 * [misc]backup-simplify: Simplify 1 into 1 1545301276.743 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1545301276.743 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1545301276.743 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301276.743 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301276.743 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301276.743 * [misc]taylor: Taking taylor expansion of N in N 1545301276.743 * [misc]backup-simplify: Simplify 0 into 0 1545301276.743 * [misc]backup-simplify: Simplify 1 into 1 1545301276.743 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301276.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301276.743 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1545301276.743 * [misc]taylor: Taking taylor expansion of -1 in N 1545301276.743 * [misc]backup-simplify: Simplify -1 into -1 1545301276.743 * [misc]taylor: Taking taylor expansion of N in N 1545301276.743 * [misc]backup-simplify: Simplify 0 into 0 1545301276.743 * [misc]backup-simplify: Simplify 1 into 1 1545301276.743 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545301276.743 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301276.743 * [misc]backup-simplify: Simplify 0 into 0 1545301276.744 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 1545301276.744 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545301276.744 * [misc]backup-simplify: Simplify -1 into -1 1545301276.744 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301276.744 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1545301276.744 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545301276.744 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545301276.744 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1545301276.744 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1545301276.745 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545301276.745 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545301276.745 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1545301276.745 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301276.745 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 1545301276.745 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301276.745 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545301276.745 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 1545301276.745 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545301276.745 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1545301276.746 * [misc]backup-simplify: Simplify -1/3 into -1/3 1545301276.746 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545301276.746 * * * [misc]progress: simplifying candidates 1545301276.746 * * * * [misc]progress: [ 1 / 48 ] simplifiying candidate # 1545301276.746 * * * * [misc]progress: [ 2 / 48 ] simplifiying candidate # 1545301276.746 * * * * [misc]progress: [ 3 / 48 ] simplifiying candidate # 1545301276.746 * * * * [misc]progress: [ 4 / 48 ] simplifiying candidate # 1545301276.746 * [enter]simplify: Simplifying (- 2) 1545301276.746 * * [misc]simplify: iters left: 2 (2 enodes) 1545301276.747 * * [misc]simplify: iters left: 1 (3 enodes) 1545301276.747 * [exit]simplify: Simplified to -2 1545301276.747 * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (pow N -2) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545301276.747 * * * * [misc]progress: [ 5 / 48 ] simplifiying candidate # 1545301276.747 * [enter]simplify: Simplifying (- 1) 1545301276.747 * * [misc]simplify: iters left: 2 (2 enodes) 1545301276.748 * * [misc]simplify: iters left: 1 (5 enodes) 1545301276.749 * [exit]simplify: Simplified to -1 1545301276.749 * [misc]simplify: Simplified (2 1 2) to (λ (N) (fma (pow (* N N) -1) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545301276.749 * * * * [misc]progress: [ 6 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 7 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 8 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 9 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 10 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 11 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 12 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 13 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 14 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 15 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 16 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 17 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 18 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 19 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 20 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 21 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 22 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 23 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 24 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 25 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 26 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 27 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 28 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 29 / 48 ] simplifiying candidate # 1545301276.749 * * * * [misc]progress: [ 30 / 48 ] simplifiying candidate # 1545301276.750 * * * * [misc]progress: [ 31 / 48 ] simplifiying candidate # 1545301276.750 * * * * [misc]progress: [ 32 / 48 ] simplifiying candidate # 1545301276.750 * * * * [misc]progress: [ 33 / 48 ] simplifiying candidate # 1545301276.750 * * * * [misc]progress: [ 34 / 48 ] simplifiying candidate # 1545301276.750 * * * * [misc]progress: [ 35 / 48 ] simplifiying candidate # 1545301276.750 * * * * [misc]progress: [ 36 / 48 ] simplifiying candidate # 1545301276.750 * * * * [misc]progress: [ 37 / 48 ] simplifiying candidate # 1545301276.750 * * * * [misc]progress: [ 38 / 48 ] simplifiying candidate # 1545301276.750 * * * * [misc]progress: [ 39 / 48 ] simplifiying candidate # 1545301276.750 * * * * [misc]progress: [ 40 / 48 ] simplifiying candidate # 1545301276.750 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1545301276.750 * * [misc]simplify: iters left: 3 (5 enodes) 1545301276.751 * * [misc]simplify: iters left: 2 (8 enodes) 1545301276.753 * * [misc]simplify: iters left: 1 (10 enodes) 1545301276.755 * [exit]simplify: Simplified to (/ 1 (* N N)) 1545301276.755 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545301276.755 * * * * [misc]progress: [ 41 / 48 ] simplifiying candidate # 1545301276.756 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1545301276.756 * * [misc]simplify: iters left: 3 (5 enodes) 1545301276.757 * * [misc]simplify: iters left: 2 (8 enodes) 1545301276.759 * * [misc]simplify: iters left: 1 (10 enodes) 1545301276.762 * [exit]simplify: Simplified to (/ 1 (* N N)) 1545301276.762 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545301276.762 * * * * [misc]progress: [ 42 / 48 ] simplifiying candidate # 1545301276.762 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1545301276.762 * * [misc]simplify: iters left: 3 (5 enodes) 1545301276.764 * * [misc]simplify: iters left: 2 (8 enodes) 1545301276.766 * * [misc]simplify: iters left: 1 (10 enodes) 1545301276.769 * [exit]simplify: Simplified to (/ 1 (* N N)) 1545301276.769 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545301276.769 * * * * [misc]progress: [ 43 / 48 ] simplifiying candidate # 1545301276.769 * [enter]simplify: Simplifying (/ 1/3 N) 1545301276.769 * * [misc]simplify: iters left: 2 (3 enodes) 1545301276.770 * [exit]simplify: Simplified to (/ 1/3 N) 1545301276.770 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545301276.770 * * * * [misc]progress: [ 44 / 48 ] simplifiying candidate # 1545301276.770 * [enter]simplify: Simplifying (/ 1/3 N) 1545301276.770 * * [misc]simplify: iters left: 2 (3 enodes) 1545301276.771 * [exit]simplify: Simplified to (/ 1/3 N) 1545301276.771 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545301276.771 * * * * [misc]progress: [ 45 / 48 ] simplifiying candidate # 1545301276.772 * [enter]simplify: Simplifying (/ 1/3 N) 1545301276.772 * * [misc]simplify: iters left: 2 (3 enodes) 1545301276.773 * [exit]simplify: Simplified to (/ 1/3 N) 1545301276.773 * [misc]simplify: Simplified (2 2 1) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545301276.773 * * * * [misc]progress: [ 46 / 48 ] simplifiying candidate # 1545301276.773 * [enter]simplify: Simplifying (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1545301276.773 * * [misc]simplify: iters left: 6 (15 enodes) 1545301276.780 * * [misc]simplify: iters left: 5 (31 enodes) 1545301276.787 * * [misc]simplify: iters left: 4 (61 enodes) 1545301276.800 * * [misc]simplify: iters left: 3 (105 enodes) 1545301276.838 * * [misc]simplify: iters left: 2 (172 enodes) 1545301276.868 * * [misc]simplify: iters left: 1 (230 enodes) 1545301276.931 * [exit]simplify: Simplified to (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)) 1545301276.931 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N))) 1545301276.932 * * * * [misc]progress: [ 47 / 48 ] simplifiying candidate # 1545301276.932 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545301276.932 * * [misc]simplify: iters left: 6 (15 enodes) 1545301276.936 * * [misc]simplify: iters left: 5 (32 enodes) 1545301276.943 * * [misc]simplify: iters left: 4 (61 enodes) 1545301276.958 * * [misc]simplify: iters left: 3 (103 enodes) 1545301277.003 * * [misc]simplify: iters left: 2 (168 enodes) 1545301277.063 * * [misc]simplify: iters left: 1 (248 enodes) 1545301277.140 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1545301277.140 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545301277.140 * * * * [misc]progress: [ 48 / 48 ] simplifiying candidate # 1545301277.141 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1545301277.141 * * [misc]simplify: iters left: 6 (15 enodes) 1545301277.146 * * [misc]simplify: iters left: 5 (32 enodes) 1545301277.153 * * [misc]simplify: iters left: 4 (61 enodes) 1545301277.165 * * [misc]simplify: iters left: 3 (103 enodes) 1545301277.199 * * [misc]simplify: iters left: 2 (168 enodes) 1545301277.246 * * [misc]simplify: iters left: 1 (248 enodes) 1545301277.313 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1545301277.313 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1545301277.313 * * * [misc]progress: adding candidates to table 1545301277.795 * * [misc]progress: iteration 4 / 4 1545301277.795 * * * [misc]progress: picking best candidate 1545301277.802 * * * * [misc]pick: Picked # 1545301277.802 * * * [misc]progress: localizing error 1545301277.811 * * * [misc]progress: generating rewritten candidates 1545301277.811 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1545301277.813 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) 1545301277.814 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) 1545301277.815 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) 1545301277.820 * * * [misc]progress: generating series expansions 1545301277.820 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1545301277.820 * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) into (pow (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 1/3) 1545301277.820 * [misc]approximate: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 1/3) in (N) around 0 1545301277.820 * [misc]taylor: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 1/3) in N 1545301277.820 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))))) in N 1545301277.820 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)))) in N 1545301277.820 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.820 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.820 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in N 1545301277.820 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1545301277.821 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1545301277.821 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1545301277.821 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1545301277.821 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.821 * [misc]taylor: Taking taylor expansion of N in N 1545301277.821 * [misc]backup-simplify: Simplify 0 into 0 1545301277.821 * [misc]backup-simplify: Simplify 1 into 1 1545301277.821 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301277.821 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.821 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1545301277.821 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1545301277.821 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.821 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.821 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301277.821 * [misc]taylor: Taking taylor expansion of N in N 1545301277.821 * [misc]backup-simplify: Simplify 0 into 0 1545301277.821 * [misc]backup-simplify: Simplify 1 into 1 1545301277.822 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.822 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.822 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301277.822 * [misc]taylor: Taking taylor expansion of N in N 1545301277.822 * [misc]backup-simplify: Simplify 0 into 0 1545301277.822 * [misc]backup-simplify: Simplify 1 into 1 1545301277.822 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.822 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 1545301277.822 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.822 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 1545301277.823 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.823 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) 1545301277.823 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 1545301277.823 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 1545301277.824 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 1545301277.824 * [misc]taylor: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 1/3) in N 1545301277.824 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))))) in N 1545301277.824 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)))) in N 1545301277.824 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.824 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.824 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in N 1545301277.824 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1545301277.824 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1545301277.824 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1545301277.824 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1545301277.824 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.824 * [misc]taylor: Taking taylor expansion of N in N 1545301277.824 * [misc]backup-simplify: Simplify 0 into 0 1545301277.824 * [misc]backup-simplify: Simplify 1 into 1 1545301277.824 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301277.824 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.825 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1545301277.825 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1545301277.825 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.825 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.825 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301277.825 * [misc]taylor: Taking taylor expansion of N in N 1545301277.825 * [misc]backup-simplify: Simplify 0 into 0 1545301277.825 * [misc]backup-simplify: Simplify 1 into 1 1545301277.825 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.825 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.825 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301277.825 * [misc]taylor: Taking taylor expansion of N in N 1545301277.825 * [misc]backup-simplify: Simplify 0 into 0 1545301277.825 * [misc]backup-simplify: Simplify 1 into 1 1545301277.825 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.825 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 1545301277.826 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.826 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 1545301277.826 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.826 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) 1545301277.826 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 1545301277.827 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 1545301277.827 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 1545301277.827 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 1545301277.828 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301277.828 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1545301277.828 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545301277.828 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545301277.828 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301277.829 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301277.829 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2 1545301277.829 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545301277.831 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 1545301277.832 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 1545301277.832 * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 1545301277.834 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 1545301277.834 * [misc]backup-simplify: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 1545301277.834 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301277.835 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1545301277.835 * [misc]backup-simplify: Simplify (- 0) into 0 1545301277.835 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301277.835 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1545301277.836 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301277.836 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0 1545301277.836 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301277.840 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 1545301277.841 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 1545301277.841 * [misc]backup-simplify: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 1545301277.844 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 1545301277.844 * [misc]backup-simplify: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 1545301277.845 * [misc]backup-simplify: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 1545301277.846 * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) into (pow (fma (pow N 2) (- (* 1/3 N) 1/2) N) 1/3) 1545301277.846 * [misc]approximate: Taking taylor expansion of (pow (fma (pow N 2) (- (* 1/3 N) 1/2) N) 1/3) in (N) around 0 1545301277.846 * [misc]taylor: Taking taylor expansion of (pow (fma (pow N 2) (- (* 1/3 N) 1/2) N) 1/3) in N 1545301277.846 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) (- (* 1/3 N) 1/2) N)))) in N 1545301277.846 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) (- (* 1/3 N) 1/2) N))) in N 1545301277.846 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.846 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.846 * [misc]taylor: Taking taylor expansion of (log (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in N 1545301277.846 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1545301277.846 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1545301277.846 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1545301277.846 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.846 * [misc]taylor: Taking taylor expansion of N in N 1545301277.846 * [misc]backup-simplify: Simplify 0 into 0 1545301277.846 * [misc]backup-simplify: Simplify 1 into 1 1545301277.846 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1545301277.846 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301277.846 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.846 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.847 * [misc]taylor: Taking taylor expansion of N in N 1545301277.847 * [misc]backup-simplify: Simplify 0 into 0 1545301277.847 * [misc]backup-simplify: Simplify 1 into 1 1545301277.847 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.847 * [misc]taylor: Taking taylor expansion of N in N 1545301277.847 * [misc]backup-simplify: Simplify 0 into 0 1545301277.847 * [misc]backup-simplify: Simplify 1 into 1 1545301277.847 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301277.847 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301277.847 * [misc]backup-simplify: Simplify (log 1) into 0 1545301277.847 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1545301277.848 * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1545301277.848 * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1545301277.848 * [misc]taylor: Taking taylor expansion of (pow (fma (pow N 2) (- (* 1/3 N) 1/2) N) 1/3) in N 1545301277.848 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) (- (* 1/3 N) 1/2) N)))) in N 1545301277.848 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) (- (* 1/3 N) 1/2) N))) in N 1545301277.848 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.848 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.848 * [misc]taylor: Taking taylor expansion of (log (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in N 1545301277.848 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1545301277.848 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1545301277.848 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1545301277.848 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.848 * [misc]taylor: Taking taylor expansion of N in N 1545301277.848 * [misc]backup-simplify: Simplify 0 into 0 1545301277.848 * [misc]backup-simplify: Simplify 1 into 1 1545301277.848 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1545301277.849 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301277.849 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.849 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.849 * [misc]taylor: Taking taylor expansion of N in N 1545301277.849 * [misc]backup-simplify: Simplify 0 into 0 1545301277.849 * [misc]backup-simplify: Simplify 1 into 1 1545301277.849 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.849 * [misc]taylor: Taking taylor expansion of N in N 1545301277.849 * [misc]backup-simplify: Simplify 0 into 0 1545301277.849 * [misc]backup-simplify: Simplify 1 into 1 1545301277.849 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301277.849 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301277.849 * [misc]backup-simplify: Simplify (log 1) into 0 1545301277.850 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1545301277.850 * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1545301277.850 * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1545301277.850 * [misc]backup-simplify: Simplify (pow N 1/3) into (pow N 1/3) 1545301277.850 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301277.850 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1545301277.850 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545301277.851 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545301277.851 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1545301277.851 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545301277.853 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1545301277.854 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1545301277.854 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 1545301277.855 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 1545301277.855 * [misc]backup-simplify: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 1545301277.856 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1545301277.856 * [misc]backup-simplify: Simplify (- 0) into 0 1545301277.856 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.856 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301277.857 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 1545301277.857 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.861 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 1545301277.861 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1545301277.862 * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 1545301277.864 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 1545301277.864 * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 1545301277.865 * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 1545301277.866 * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) into (pow (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 1/3) 1545301277.866 * [misc]approximate: Taking taylor expansion of (pow (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 1/3) in (N) around 0 1545301277.866 * [misc]taylor: Taking taylor expansion of (pow (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 1/3) in N 1545301277.866 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))))) in N 1545301277.866 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)))) in N 1545301277.866 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.866 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.866 * [misc]taylor: Taking taylor expansion of (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in N 1545301277.866 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1545301277.866 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1545301277.866 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1545301277.866 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.866 * [misc]taylor: Taking taylor expansion of N in N 1545301277.866 * [misc]backup-simplify: Simplify 0 into 0 1545301277.866 * [misc]backup-simplify: Simplify 1 into 1 1545301277.866 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1545301277.866 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1545301277.866 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301277.866 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.867 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.867 * [misc]taylor: Taking taylor expansion of N in N 1545301277.867 * [misc]backup-simplify: Simplify 0 into 0 1545301277.867 * [misc]backup-simplify: Simplify 1 into 1 1545301277.867 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.867 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1545301277.867 * [misc]taylor: Taking taylor expansion of -1 in N 1545301277.867 * [misc]backup-simplify: Simplify -1 into -1 1545301277.867 * [misc]taylor: Taking taylor expansion of N in N 1545301277.867 * [misc]backup-simplify: Simplify 0 into 0 1545301277.867 * [misc]backup-simplify: Simplify 1 into 1 1545301277.867 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545301277.867 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301277.868 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 1545301277.868 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545301277.868 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545301277.868 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 1545301277.869 * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 1545301277.869 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 1545301277.869 * [misc]taylor: Taking taylor expansion of (pow (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 1/3) in N 1545301277.869 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))))) in N 1545301277.869 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)))) in N 1545301277.869 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.869 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.869 * [misc]taylor: Taking taylor expansion of (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in N 1545301277.869 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1545301277.869 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1545301277.869 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1545301277.869 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.869 * [misc]taylor: Taking taylor expansion of N in N 1545301277.869 * [misc]backup-simplify: Simplify 0 into 0 1545301277.869 * [misc]backup-simplify: Simplify 1 into 1 1545301277.869 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1545301277.869 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1545301277.869 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301277.869 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.869 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.869 * [misc]taylor: Taking taylor expansion of N in N 1545301277.869 * [misc]backup-simplify: Simplify 0 into 0 1545301277.869 * [misc]backup-simplify: Simplify 1 into 1 1545301277.870 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.870 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1545301277.870 * [misc]taylor: Taking taylor expansion of -1 in N 1545301277.870 * [misc]backup-simplify: Simplify -1 into -1 1545301277.870 * [misc]taylor: Taking taylor expansion of N in N 1545301277.870 * [misc]backup-simplify: Simplify 0 into 0 1545301277.870 * [misc]backup-simplify: Simplify 1 into 1 1545301277.870 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545301277.870 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301277.870 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 1545301277.870 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545301277.871 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545301277.871 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 1545301277.871 * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 1545301277.871 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 1545301277.872 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 1545301277.872 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301277.872 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1545301277.872 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545301277.873 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545301277.873 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1545301277.873 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1545301277.873 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545301277.876 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 1545301277.876 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 1545301277.876 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 1545301277.877 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 1545301277.878 * [misc]backup-simplify: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 1545301277.878 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1545301277.878 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.878 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 1545301277.879 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301277.879 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545301277.879 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 1545301277.879 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545301277.879 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1545301277.884 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 1545301277.884 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 1545301277.885 * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 1545301277.887 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 1545301277.887 * [misc]backup-simplify: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 1545301277.888 * [misc]backup-simplify: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) 1545301277.888 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) 1545301277.888 * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) into (pow (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 1/3) 1545301277.888 * [misc]approximate: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 1/3) in (N) around 0 1545301277.889 * [misc]taylor: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 1/3) in N 1545301277.889 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))))) in N 1545301277.889 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)))) in N 1545301277.889 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.889 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.889 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in N 1545301277.889 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1545301277.889 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1545301277.889 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1545301277.889 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1545301277.889 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.889 * [misc]taylor: Taking taylor expansion of N in N 1545301277.889 * [misc]backup-simplify: Simplify 0 into 0 1545301277.889 * [misc]backup-simplify: Simplify 1 into 1 1545301277.889 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301277.889 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.889 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1545301277.889 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1545301277.889 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.889 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.889 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301277.889 * [misc]taylor: Taking taylor expansion of N in N 1545301277.890 * [misc]backup-simplify: Simplify 0 into 0 1545301277.890 * [misc]backup-simplify: Simplify 1 into 1 1545301277.890 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.890 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.890 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301277.890 * [misc]taylor: Taking taylor expansion of N in N 1545301277.890 * [misc]backup-simplify: Simplify 0 into 0 1545301277.890 * [misc]backup-simplify: Simplify 1 into 1 1545301277.890 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.890 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 1545301277.890 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.890 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 1545301277.891 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.891 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) 1545301277.891 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 1545301277.891 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 1545301277.892 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 1545301277.892 * [misc]taylor: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 1/3) in N 1545301277.892 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))))) in N 1545301277.892 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)))) in N 1545301277.892 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.892 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.892 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in N 1545301277.892 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1545301277.892 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1545301277.892 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1545301277.892 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1545301277.892 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.892 * [misc]taylor: Taking taylor expansion of N in N 1545301277.892 * [misc]backup-simplify: Simplify 0 into 0 1545301277.892 * [misc]backup-simplify: Simplify 1 into 1 1545301277.892 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301277.892 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.892 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1545301277.892 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1545301277.892 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.892 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.892 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301277.892 * [misc]taylor: Taking taylor expansion of N in N 1545301277.892 * [misc]backup-simplify: Simplify 0 into 0 1545301277.892 * [misc]backup-simplify: Simplify 1 into 1 1545301277.892 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.892 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.892 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.892 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301277.892 * [misc]taylor: Taking taylor expansion of N in N 1545301277.892 * [misc]backup-simplify: Simplify 0 into 0 1545301277.892 * [misc]backup-simplify: Simplify 1 into 1 1545301277.892 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.893 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 1545301277.893 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.893 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 1545301277.893 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.893 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) 1545301277.893 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 1545301277.893 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 1545301277.893 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 1545301277.894 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 1545301277.894 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301277.894 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1545301277.894 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545301277.894 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545301277.894 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301277.894 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301277.895 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2 1545301277.895 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545301277.896 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 1545301277.896 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 1545301277.897 * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 1545301277.898 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 1545301277.898 * [misc]backup-simplify: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 1545301277.898 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301277.899 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1545301277.899 * [misc]backup-simplify: Simplify (- 0) into 0 1545301277.899 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301277.899 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1545301277.899 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301277.899 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0 1545301277.899 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301277.902 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 1545301277.902 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 1545301277.902 * [misc]backup-simplify: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 1545301277.904 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 1545301277.904 * [misc]backup-simplify: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 1545301277.904 * [misc]backup-simplify: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 1545301277.907 * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) into (pow (fma (pow N 2) (- (* 1/3 N) 1/2) N) 1/3) 1545301277.907 * [misc]approximate: Taking taylor expansion of (pow (fma (pow N 2) (- (* 1/3 N) 1/2) N) 1/3) in (N) around 0 1545301277.907 * [misc]taylor: Taking taylor expansion of (pow (fma (pow N 2) (- (* 1/3 N) 1/2) N) 1/3) in N 1545301277.907 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) (- (* 1/3 N) 1/2) N)))) in N 1545301277.907 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) (- (* 1/3 N) 1/2) N))) in N 1545301277.907 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.907 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.907 * [misc]taylor: Taking taylor expansion of (log (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in N 1545301277.907 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1545301277.907 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1545301277.907 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1545301277.907 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.907 * [misc]taylor: Taking taylor expansion of N in N 1545301277.907 * [misc]backup-simplify: Simplify 0 into 0 1545301277.907 * [misc]backup-simplify: Simplify 1 into 1 1545301277.907 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1545301277.907 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301277.907 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.907 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.907 * [misc]taylor: Taking taylor expansion of N in N 1545301277.907 * [misc]backup-simplify: Simplify 0 into 0 1545301277.907 * [misc]backup-simplify: Simplify 1 into 1 1545301277.907 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.907 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.907 * [misc]taylor: Taking taylor expansion of N in N 1545301277.907 * [misc]backup-simplify: Simplify 0 into 0 1545301277.907 * [misc]backup-simplify: Simplify 1 into 1 1545301277.907 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301277.908 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301277.908 * [misc]backup-simplify: Simplify (log 1) into 0 1545301277.908 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1545301277.908 * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1545301277.908 * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1545301277.908 * [misc]taylor: Taking taylor expansion of (pow (fma (pow N 2) (- (* 1/3 N) 1/2) N) 1/3) in N 1545301277.908 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) (- (* 1/3 N) 1/2) N)))) in N 1545301277.908 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) (- (* 1/3 N) 1/2) N))) in N 1545301277.908 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.908 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.908 * [misc]taylor: Taking taylor expansion of (log (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in N 1545301277.908 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1545301277.908 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1545301277.908 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1545301277.908 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.908 * [misc]taylor: Taking taylor expansion of N in N 1545301277.908 * [misc]backup-simplify: Simplify 0 into 0 1545301277.908 * [misc]backup-simplify: Simplify 1 into 1 1545301277.908 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1545301277.908 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301277.908 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.908 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.908 * [misc]taylor: Taking taylor expansion of N in N 1545301277.908 * [misc]backup-simplify: Simplify 0 into 0 1545301277.908 * [misc]backup-simplify: Simplify 1 into 1 1545301277.908 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.908 * [misc]taylor: Taking taylor expansion of N in N 1545301277.908 * [misc]backup-simplify: Simplify 0 into 0 1545301277.908 * [misc]backup-simplify: Simplify 1 into 1 1545301277.908 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301277.909 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301277.909 * [misc]backup-simplify: Simplify (log 1) into 0 1545301277.909 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1545301277.909 * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1545301277.909 * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1545301277.909 * [misc]backup-simplify: Simplify (pow N 1/3) into (pow N 1/3) 1545301277.909 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301277.909 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1545301277.909 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545301277.909 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545301277.910 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1545301277.910 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545301277.911 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1545301277.911 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1545301277.911 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 1545301277.912 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 1545301277.912 * [misc]backup-simplify: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 1545301277.913 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1545301277.913 * [misc]backup-simplify: Simplify (- 0) into 0 1545301277.913 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.913 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301277.913 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 1545301277.913 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.916 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 1545301277.916 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1545301277.916 * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 1545301277.917 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 1545301277.917 * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 1545301277.918 * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 1545301277.918 * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) into (pow (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 1/3) 1545301277.918 * [misc]approximate: Taking taylor expansion of (pow (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 1/3) in (N) around 0 1545301277.918 * [misc]taylor: Taking taylor expansion of (pow (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 1/3) in N 1545301277.918 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))))) in N 1545301277.918 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)))) in N 1545301277.918 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.918 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.918 * [misc]taylor: Taking taylor expansion of (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in N 1545301277.918 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1545301277.918 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1545301277.918 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1545301277.918 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.918 * [misc]taylor: Taking taylor expansion of N in N 1545301277.918 * [misc]backup-simplify: Simplify 0 into 0 1545301277.918 * [misc]backup-simplify: Simplify 1 into 1 1545301277.918 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1545301277.918 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1545301277.918 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301277.918 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.918 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.918 * [misc]taylor: Taking taylor expansion of N in N 1545301277.918 * [misc]backup-simplify: Simplify 0 into 0 1545301277.918 * [misc]backup-simplify: Simplify 1 into 1 1545301277.918 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.918 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1545301277.918 * [misc]taylor: Taking taylor expansion of -1 in N 1545301277.918 * [misc]backup-simplify: Simplify -1 into -1 1545301277.918 * [misc]taylor: Taking taylor expansion of N in N 1545301277.918 * [misc]backup-simplify: Simplify 0 into 0 1545301277.918 * [misc]backup-simplify: Simplify 1 into 1 1545301277.918 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545301277.919 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301277.919 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 1545301277.919 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545301277.919 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545301277.919 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 1545301277.919 * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 1545301277.920 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 1545301277.920 * [misc]taylor: Taking taylor expansion of (pow (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 1/3) in N 1545301277.920 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))))) in N 1545301277.920 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)))) in N 1545301277.920 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.920 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.920 * [misc]taylor: Taking taylor expansion of (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in N 1545301277.920 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1545301277.920 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1545301277.920 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1545301277.920 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.920 * [misc]taylor: Taking taylor expansion of N in N 1545301277.920 * [misc]backup-simplify: Simplify 0 into 0 1545301277.920 * [misc]backup-simplify: Simplify 1 into 1 1545301277.920 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1545301277.920 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1545301277.920 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301277.920 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.920 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.920 * [misc]taylor: Taking taylor expansion of N in N 1545301277.920 * [misc]backup-simplify: Simplify 0 into 0 1545301277.920 * [misc]backup-simplify: Simplify 1 into 1 1545301277.920 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.920 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1545301277.920 * [misc]taylor: Taking taylor expansion of -1 in N 1545301277.920 * [misc]backup-simplify: Simplify -1 into -1 1545301277.920 * [misc]taylor: Taking taylor expansion of N in N 1545301277.920 * [misc]backup-simplify: Simplify 0 into 0 1545301277.920 * [misc]backup-simplify: Simplify 1 into 1 1545301277.921 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545301277.921 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301277.921 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 1545301277.921 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545301277.921 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545301277.922 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 1545301277.922 * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 1545301277.922 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 1545301277.922 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 1545301277.922 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301277.923 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1545301277.923 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545301277.923 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545301277.923 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1545301277.923 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1545301277.924 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545301277.926 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 1545301277.926 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 1545301277.927 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 1545301277.928 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 1545301277.928 * [misc]backup-simplify: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 1545301277.928 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1545301277.928 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.928 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 1545301277.929 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301277.929 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545301277.929 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 1545301277.929 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545301277.929 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1545301277.933 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 1545301277.934 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 1545301277.934 * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 1545301277.936 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 1545301277.936 * [misc]backup-simplify: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 1545301277.937 * [misc]backup-simplify: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) 1545301277.937 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) 1545301277.938 * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) into (pow (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 1/3) 1545301277.938 * [misc]approximate: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 1/3) in (N) around 0 1545301277.938 * [misc]taylor: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 1/3) in N 1545301277.938 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))))) in N 1545301277.938 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)))) in N 1545301277.938 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.938 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.938 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in N 1545301277.938 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1545301277.938 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1545301277.938 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1545301277.938 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1545301277.938 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.938 * [misc]taylor: Taking taylor expansion of N in N 1545301277.938 * [misc]backup-simplify: Simplify 0 into 0 1545301277.938 * [misc]backup-simplify: Simplify 1 into 1 1545301277.938 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301277.938 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.938 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1545301277.939 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1545301277.939 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.939 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.939 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301277.939 * [misc]taylor: Taking taylor expansion of N in N 1545301277.939 * [misc]backup-simplify: Simplify 0 into 0 1545301277.939 * [misc]backup-simplify: Simplify 1 into 1 1545301277.939 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.939 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.939 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301277.939 * [misc]taylor: Taking taylor expansion of N in N 1545301277.939 * [misc]backup-simplify: Simplify 0 into 0 1545301277.939 * [misc]backup-simplify: Simplify 1 into 1 1545301277.939 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.939 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 1545301277.939 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.940 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 1545301277.940 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.940 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) 1545301277.940 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 1545301277.940 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 1545301277.941 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 1545301277.941 * [misc]taylor: Taking taylor expansion of (pow (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) 1/3) in N 1545301277.941 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))))) in N 1545301277.941 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)))) in N 1545301277.941 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.941 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.941 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N))) in N 1545301277.941 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2) (/ 1 N)) in N 1545301277.941 * [misc]taylor: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) (/ 1 N)) 1545301277.941 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 1/3 (/ 1 N)) 1/2)) in N 1545301277.941 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1545301277.941 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.941 * [misc]taylor: Taking taylor expansion of N in N 1545301277.941 * [misc]backup-simplify: Simplify 0 into 0 1545301277.941 * [misc]backup-simplify: Simplify 1 into 1 1545301277.941 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301277.941 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.941 * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 1545301277.941 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 1545301277.941 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.942 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.942 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301277.942 * [misc]taylor: Taking taylor expansion of N in N 1545301277.942 * [misc]backup-simplify: Simplify 0 into 0 1545301277.942 * [misc]backup-simplify: Simplify 1 into 1 1545301277.942 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.942 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.942 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.942 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545301277.942 * [misc]taylor: Taking taylor expansion of N in N 1545301277.942 * [misc]backup-simplify: Simplify 0 into 0 1545301277.942 * [misc]backup-simplify: Simplify 1 into 1 1545301277.942 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.942 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 1545301277.942 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.942 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 1545301277.943 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.943 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) 1545301277.943 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 1545301277.943 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 1545301277.944 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 1545301277.944 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 1545301277.944 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301277.944 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1545301277.945 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545301277.945 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545301277.945 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301277.945 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301277.945 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2 1545301277.945 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545301277.948 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 1545301277.948 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 1545301277.949 * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 1545301277.950 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 1545301277.950 * [misc]backup-simplify: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 1545301277.951 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301277.951 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1545301277.951 * [misc]backup-simplify: Simplify (- 0) into 0 1545301277.951 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301277.952 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1545301277.952 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301277.952 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0 1545301277.952 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301277.956 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 1545301277.956 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 1545301277.957 * [misc]backup-simplify: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 1545301277.959 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 1545301277.959 * [misc]backup-simplify: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 1545301277.960 * [misc]backup-simplify: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 1545301277.960 * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N)))) into (pow (fma (pow N 2) (- (* 1/3 N) 1/2) N) 1/3) 1545301277.960 * [misc]approximate: Taking taylor expansion of (pow (fma (pow N 2) (- (* 1/3 N) 1/2) N) 1/3) in (N) around 0 1545301277.960 * [misc]taylor: Taking taylor expansion of (pow (fma (pow N 2) (- (* 1/3 N) 1/2) N) 1/3) in N 1545301277.961 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) (- (* 1/3 N) 1/2) N)))) in N 1545301277.961 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) (- (* 1/3 N) 1/2) N))) in N 1545301277.961 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.961 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.961 * [misc]taylor: Taking taylor expansion of (log (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in N 1545301277.961 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1545301277.961 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1545301277.961 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1545301277.961 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.961 * [misc]taylor: Taking taylor expansion of N in N 1545301277.961 * [misc]backup-simplify: Simplify 0 into 0 1545301277.961 * [misc]backup-simplify: Simplify 1 into 1 1545301277.961 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1545301277.961 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301277.961 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.961 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.961 * [misc]taylor: Taking taylor expansion of N in N 1545301277.961 * [misc]backup-simplify: Simplify 0 into 0 1545301277.961 * [misc]backup-simplify: Simplify 1 into 1 1545301277.961 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.961 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.961 * [misc]taylor: Taking taylor expansion of N in N 1545301277.961 * [misc]backup-simplify: Simplify 0 into 0 1545301277.961 * [misc]backup-simplify: Simplify 1 into 1 1545301277.961 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301277.961 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301277.962 * [misc]backup-simplify: Simplify (log 1) into 0 1545301277.962 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1545301277.962 * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1545301277.962 * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1545301277.962 * [misc]taylor: Taking taylor expansion of (pow (fma (pow N 2) (- (* 1/3 N) 1/2) N) 1/3) in N 1545301277.962 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) (- (* 1/3 N) 1/2) N)))) in N 1545301277.962 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) (- (* 1/3 N) 1/2) N))) in N 1545301277.962 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.962 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.962 * [misc]taylor: Taking taylor expansion of (log (fma (pow N 2) (- (* 1/3 N) 1/2) N)) in N 1545301277.962 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (* 1/3 N) 1/2) N) in N 1545301277.962 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (* 1/3 N) 1/2)) N) 1545301277.962 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (* 1/3 N) 1/2)) in N 1545301277.962 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.962 * [misc]taylor: Taking taylor expansion of N in N 1545301277.962 * [misc]backup-simplify: Simplify 0 into 0 1545301277.962 * [misc]backup-simplify: Simplify 1 into 1 1545301277.962 * [misc]taylor: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 1545301277.962 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301277.962 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.962 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.962 * [misc]taylor: Taking taylor expansion of N in N 1545301277.962 * [misc]backup-simplify: Simplify 0 into 0 1545301277.962 * [misc]backup-simplify: Simplify 1 into 1 1545301277.963 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.963 * [misc]taylor: Taking taylor expansion of N in N 1545301277.963 * [misc]backup-simplify: Simplify 0 into 0 1545301277.963 * [misc]backup-simplify: Simplify 1 into 1 1545301277.963 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301277.963 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545301277.963 * [misc]backup-simplify: Simplify (log 1) into 0 1545301277.963 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1545301277.963 * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 1545301277.963 * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 1545301277.964 * [misc]backup-simplify: Simplify (pow N 1/3) into (pow N 1/3) 1545301277.964 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301277.964 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1545301277.964 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545301277.964 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545301277.964 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1545301277.964 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545301277.967 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1545301277.967 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1545301277.967 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 1545301277.968 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 1545301277.968 * [misc]backup-simplify: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 1545301277.969 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1545301277.969 * [misc]backup-simplify: Simplify (- 0) into 0 1545301277.969 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.969 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301277.969 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 1545301277.970 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.974 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 1545301277.974 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1545301277.974 * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 1545301277.976 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 1545301277.976 * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 1545301277.977 * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 1545301277.977 * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N))))) into (pow (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 1/3) 1545301277.977 * [misc]approximate: Taking taylor expansion of (pow (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 1/3) in (N) around 0 1545301277.977 * [misc]taylor: Taking taylor expansion of (pow (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 1/3) in N 1545301277.977 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))))) in N 1545301277.977 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)))) in N 1545301277.977 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.977 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.977 * [misc]taylor: Taking taylor expansion of (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in N 1545301277.977 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1545301277.977 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1545301277.977 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1545301277.978 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.978 * [misc]taylor: Taking taylor expansion of N in N 1545301277.978 * [misc]backup-simplify: Simplify 0 into 0 1545301277.978 * [misc]backup-simplify: Simplify 1 into 1 1545301277.978 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1545301277.978 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1545301277.978 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301277.978 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.978 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.978 * [misc]taylor: Taking taylor expansion of N in N 1545301277.978 * [misc]backup-simplify: Simplify 0 into 0 1545301277.978 * [misc]backup-simplify: Simplify 1 into 1 1545301277.978 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.978 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1545301277.978 * [misc]taylor: Taking taylor expansion of -1 in N 1545301277.978 * [misc]backup-simplify: Simplify -1 into -1 1545301277.978 * [misc]taylor: Taking taylor expansion of N in N 1545301277.978 * [misc]backup-simplify: Simplify 0 into 0 1545301277.978 * [misc]backup-simplify: Simplify 1 into 1 1545301277.978 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545301277.978 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301277.979 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 1545301277.979 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545301277.979 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545301277.979 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 1545301277.979 * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 1545301277.980 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 1545301277.980 * [misc]taylor: Taking taylor expansion of (pow (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) 1/3) in N 1545301277.980 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))))) in N 1545301277.980 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)))) in N 1545301277.980 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.980 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.980 * [misc]taylor: Taking taylor expansion of (log (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N))) in N 1545301277.980 * [misc]taylor: Taking taylor expansion of (fma (pow N 2) (- (+ (* 1/3 N) 1/2)) (* -1 N)) in N 1545301277.980 * [misc]taylor: Rewrote expression to (+ (* (pow N 2) (- (+ (* 1/3 N) 1/2))) (* -1 N)) 1545301277.980 * [misc]taylor: Taking taylor expansion of (* (pow N 2) (- (+ (* 1/3 N) 1/2))) in N 1545301277.980 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.980 * [misc]taylor: Taking taylor expansion of N in N 1545301277.980 * [misc]backup-simplify: Simplify 0 into 0 1545301277.980 * [misc]backup-simplify: Simplify 1 into 1 1545301277.980 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 1545301277.980 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 1545301277.980 * [misc]taylor: Taking taylor expansion of (* 1/3 N) in N 1545301277.980 * [misc]taylor: Taking taylor expansion of 1/3 in N 1545301277.980 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545301277.980 * [misc]taylor: Taking taylor expansion of N in N 1545301277.980 * [misc]backup-simplify: Simplify 0 into 0 1545301277.980 * [misc]backup-simplify: Simplify 1 into 1 1545301277.980 * [misc]taylor: Taking taylor expansion of 1/2 in N 1545301277.980 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545301277.980 * [misc]taylor: Taking taylor expansion of (* -1 N) in N 1545301277.980 * [misc]taylor: Taking taylor expansion of -1 in N 1545301277.980 * [misc]backup-simplify: Simplify -1 into -1 1545301277.980 * [misc]taylor: Taking taylor expansion of N in N 1545301277.980 * [misc]backup-simplify: Simplify 0 into 0 1545301277.980 * [misc]backup-simplify: Simplify 1 into 1 1545301277.981 * [misc]backup-simplify: Simplify (* -1 0) into 0 1545301277.981 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545301277.981 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 1545301277.981 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545301277.981 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545301277.982 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 1545301277.982 * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 1545301277.982 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 1545301277.982 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 1545301277.983 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301277.983 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 1545301277.983 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545301277.983 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545301277.983 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 1545301277.983 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 1545301277.984 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545301277.986 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 1545301277.986 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 1545301277.987 * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 1545301277.988 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 1545301277.988 * [misc]backup-simplify: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 1545301277.988 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1545301277.989 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1545301277.989 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 1545301277.989 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301277.989 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545301277.989 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 1545301277.990 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545301277.990 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1545301277.994 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 1545301277.995 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 1545301277.995 * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 1545301277.997 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 1545301277.997 * [misc]backup-simplify: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 1545301277.998 * [misc]backup-simplify: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) 1545301277.998 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) 1545301277.999 * [misc]backup-simplify: Simplify (/ 1 (* N N)) into (/ 1 (pow N 2)) 1545301277.999 * [misc]approximate: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 1545301277.999 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1545301277.999 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.999 * [misc]taylor: Taking taylor expansion of N in N 1545301277.999 * [misc]backup-simplify: Simplify 0 into 0 1545301277.999 * [misc]backup-simplify: Simplify 1 into 1 1545301277.999 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301277.999 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301277.999 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1545301277.999 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301277.999 * [misc]taylor: Taking taylor expansion of N in N 1545301277.999 * [misc]backup-simplify: Simplify 0 into 0 1545301277.999 * [misc]backup-simplify: Simplify 1 into 1 1545301277.999 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301278.000 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545301278.000 * [misc]backup-simplify: Simplify 1 into 1 1545301278.000 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301278.000 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545301278.000 * [misc]backup-simplify: Simplify 0 into 0 1545301278.001 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1545301278.001 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301278.001 * [misc]backup-simplify: Simplify 0 into 0 1545301278.001 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1545301278.002 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301278.002 * [misc]backup-simplify: Simplify 0 into 0 1545301278.002 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1545301278.002 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301278.003 * [misc]backup-simplify: Simplify 0 into 0 1545301278.003 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1545301278.003 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301278.003 * [misc]backup-simplify: Simplify 0 into 0 1545301278.004 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1545301278.004 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545301278.005 * [misc]backup-simplify: Simplify 0 into 0 1545301278.005 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 1545301278.005 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 N) (/ 1 N))) into (pow N 2) 1545301278.005 * [misc]approximate: Taking taylor expansion of (pow N 2) in (N) around 0 1545301278.005 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301278.005 * [misc]taylor: Taking taylor expansion of N in N 1545301278.005 * [misc]backup-simplify: Simplify 0 into 0 1545301278.005 * [misc]backup-simplify: Simplify 1 into 1 1545301278.005 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301278.005 * [misc]taylor: Taking taylor expansion of N in N 1545301278.005 * [misc]backup-simplify: Simplify 0 into 0 1545301278.005 * [misc]backup-simplify: Simplify 1 into 1 1545301278.005 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301278.005 * [misc]backup-simplify: Simplify 1 into 1 1545301278.006 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301278.006 * [misc]backup-simplify: Simplify 0 into 0 1545301278.006 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1545301278.006 * [misc]backup-simplify: Simplify 0 into 0 1545301278.006 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1545301278.006 * [misc]backup-simplify: Simplify 0 into 0 1545301278.007 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1545301278.007 * [misc]backup-simplify: Simplify 0 into 0 1545301278.007 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1545301278.007 * [misc]backup-simplify: Simplify 0 into 0 1545301278.008 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1545301278.008 * [misc]backup-simplify: Simplify 0 into 0 1545301278.008 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 1545301278.008 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) into (pow N 2) 1545301278.008 * [misc]approximate: Taking taylor expansion of (pow N 2) in (N) around 0 1545301278.008 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301278.008 * [misc]taylor: Taking taylor expansion of N in N 1545301278.008 * [misc]backup-simplify: Simplify 0 into 0 1545301278.008 * [misc]backup-simplify: Simplify 1 into 1 1545301278.008 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1545301278.008 * [misc]taylor: Taking taylor expansion of N in N 1545301278.008 * [misc]backup-simplify: Simplify 0 into 0 1545301278.008 * [misc]backup-simplify: Simplify 1 into 1 1545301278.009 * [misc]backup-simplify: Simplify (* 1 1) into 1 1545301278.009 * [misc]backup-simplify: Simplify 1 into 1 1545301278.009 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1545301278.009 * [misc]backup-simplify: Simplify 0 into 0 1545301278.009 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1545301278.009 * [misc]backup-simplify: Simplify 0 into 0 1545301278.010 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1545301278.010 * [misc]backup-simplify: Simplify 0 into 0 1545301278.010 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1545301278.010 * [misc]backup-simplify: Simplify 0 into 0 1545301278.011 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1545301278.011 * [misc]backup-simplify: Simplify 0 into 0 1545301278.011 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1545301278.011 * [misc]backup-simplify: Simplify 0 into 0 1545301278.011 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 1545301278.011 * * * [misc]progress: simplifying candidates 1545301278.011 * * * * [misc]progress: [ 1 / 68 ] simplifiying candidate # 1545301278.012 * * * * [misc]progress: [ 2 / 68 ] simplifiying candidate # 1545301278.012 * * * * [misc]progress: [ 3 / 68 ] simplifiying candidate # 1545301278.012 * * * * [misc]progress: [ 4 / 68 ] simplifiying candidate # 1545301278.012 * * * * [misc]progress: [ 5 / 68 ] simplifiying candidate # 1545301278.012 * * * * [misc]progress: [ 6 / 68 ] simplifiying candidate # 1545301278.012 * * * * [misc]progress: [ 7 / 68 ] simplifiying candidate # 1545301278.012 * [enter]simplify: Simplifying (cbrt (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301278.012 * * [misc]simplify: iters left: 6 (13 enodes) 1545301278.017 * * [misc]simplify: iters left: 5 (21 enodes) 1545301278.023 * * [misc]simplify: iters left: 4 (34 enodes) 1545301278.040 * * [misc]simplify: iters left: 3 (91 enodes) 1545301278.063 * * [misc]simplify: iters left: 2 (216 enodes) 1545301278.161 * * [misc]simplify: iters left: 1 (385 enodes) 1545301278.355 * [exit]simplify: Simplified to (cbrt (* (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))) (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))))) 1545301278.355 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (* (cbrt (* (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))) (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))))) (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))))) 1545301278.355 * * * * [misc]progress: [ 8 / 68 ] simplifiying candidate # 1545301278.356 * [enter]simplify: Simplifying (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) 1545301278.356 * * [misc]simplify: iters left: 6 (12 enodes) 1545301278.358 * * [misc]simplify: iters left: 5 (20 enodes) 1545301278.361 * * [misc]simplify: iters left: 4 (33 enodes) 1545301278.369 * * [misc]simplify: iters left: 3 (88 enodes) 1545301278.421 * * [misc]simplify: iters left: 2 (219 enodes) 1545301278.559 * * [misc]simplify: iters left: 1 (416 enodes) 1545301278.801 * [exit]simplify: Simplified to (cbrt (sqrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) 1545301278.801 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (* (cbrt (sqrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))))) 1545301278.801 * * * * [misc]progress: [ 9 / 68 ] simplifiying candidate # 1545301278.802 * [enter]simplify: Simplifying (cbrt 1) 1545301278.802 * * [misc]simplify: iters left: 1 (2 enodes) 1545301278.803 * [exit]simplify: Simplified to 1 1545301278.803 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (* 1 (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) 1545301278.803 * * * * [misc]progress: [ 10 / 68 ] simplifiying candidate # 1545301278.803 * * * * [misc]progress: [ 11 / 68 ] simplifiying candidate # 1545301278.803 * * * * [misc]progress: [ 12 / 68 ] simplifiying candidate # 1545301278.803 * * * * [misc]progress: [ 13 / 68 ] simplifiying candidate # 1545301278.803 * * * * [misc]progress: [ 14 / 68 ] simplifiying candidate # 1545301278.803 * * * * [misc]progress: [ 15 / 68 ] simplifiying candidate # 1545301278.803 * * * * [misc]progress: [ 16 / 68 ] simplifiying candidate # 1545301278.803 * * * * [misc]progress: [ 17 / 68 ] simplifiying candidate # 1545301278.803 * * * * [misc]progress: [ 18 / 68 ] simplifiying candidate # 1545301278.803 * * * * [misc]progress: [ 19 / 68 ] simplifiying candidate # 1545301278.803 * * * * [misc]progress: [ 20 / 68 ] simplifiying candidate # 1545301278.803 * [enter]simplify: Simplifying (cbrt (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301278.803 * * [misc]simplify: iters left: 6 (13 enodes) 1545301278.806 * * [misc]simplify: iters left: 5 (21 enodes) 1545301278.809 * * [misc]simplify: iters left: 4 (34 enodes) 1545301278.820 * * [misc]simplify: iters left: 3 (91 enodes) 1545301278.847 * * [misc]simplify: iters left: 2 (216 enodes) 1545301278.904 * * [misc]simplify: iters left: 1 (385 enodes) 1545301279.141 * [exit]simplify: Simplified to (cbrt (* (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))) (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))))) 1545301279.141 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (cbrt (* (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))) (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))))) (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301279.141 * * * * [misc]progress: [ 21 / 68 ] simplifiying candidate # 1545301279.141 * [enter]simplify: Simplifying (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) 1545301279.141 * * [misc]simplify: iters left: 6 (12 enodes) 1545301279.145 * * [misc]simplify: iters left: 5 (20 enodes) 1545301279.147 * * [misc]simplify: iters left: 4 (33 enodes) 1545301279.156 * * [misc]simplify: iters left: 3 (88 enodes) 1545301279.189 * * [misc]simplify: iters left: 2 (219 enodes) 1545301279.298 * * [misc]simplify: iters left: 1 (416 enodes) 1545301279.592 * [exit]simplify: Simplified to (cbrt (sqrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) 1545301279.592 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* (cbrt (sqrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301279.592 * * * * [misc]progress: [ 22 / 68 ] simplifiying candidate # 1545301279.593 * [enter]simplify: Simplifying (cbrt 1) 1545301279.593 * * [misc]simplify: iters left: 1 (2 enodes) 1545301279.594 * [exit]simplify: Simplified to 1 1545301279.594 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (* 1 (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301279.594 * * * * [misc]progress: [ 23 / 68 ] simplifiying candidate # 1545301279.594 * * * * [misc]progress: [ 24 / 68 ] simplifiying candidate # 1545301279.594 * * * * [misc]progress: [ 25 / 68 ] simplifiying candidate # 1545301279.595 * * * * [misc]progress: [ 26 / 68 ] simplifiying candidate # 1545301279.595 * * * * [misc]progress: [ 27 / 68 ] simplifiying candidate # 1545301279.595 * * * * [misc]progress: [ 28 / 68 ] simplifiying candidate # 1545301279.595 * * * * [misc]progress: [ 29 / 68 ] simplifiying candidate # 1545301279.595 * * * * [misc]progress: [ 30 / 68 ] simplifiying candidate # 1545301279.595 * * * * [misc]progress: [ 31 / 68 ] simplifiying candidate # 1545301279.595 * * * * [misc]progress: [ 32 / 68 ] simplifiying candidate # 1545301279.595 * * * * [misc]progress: [ 33 / 68 ] simplifiying candidate # 1545301279.595 * [enter]simplify: Simplifying (cbrt (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301279.596 * * [misc]simplify: iters left: 6 (13 enodes) 1545301279.600 * * [misc]simplify: iters left: 5 (21 enodes) 1545301279.606 * * [misc]simplify: iters left: 4 (34 enodes) 1545301279.625 * * [misc]simplify: iters left: 3 (91 enodes) 1545301279.667 * * [misc]simplify: iters left: 2 (216 enodes) 1545301279.730 * * [misc]simplify: iters left: 1 (385 enodes) 1545301279.961 * [exit]simplify: Simplified to (cbrt (* (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))) (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))))) 1545301279.961 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (* (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))) (cbrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N))))) (cbrt (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301279.961 * * * * [misc]progress: [ 34 / 68 ] simplifiying candidate # 1545301279.961 * [enter]simplify: Simplifying (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) 1545301279.961 * * [misc]simplify: iters left: 6 (12 enodes) 1545301279.964 * * [misc]simplify: iters left: 5 (20 enodes) 1545301279.967 * * [misc]simplify: iters left: 4 (33 enodes) 1545301279.982 * * [misc]simplify: iters left: 3 (88 enodes) 1545301280.021 * * [misc]simplify: iters left: 2 (219 enodes) 1545301280.136 * * [misc]simplify: iters left: 1 (416 enodes) 1545301280.382 * [exit]simplify: Simplified to (cbrt (sqrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) 1545301280.382 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (sqrt (fma (/ 1 N) (fma (/ 1 N) (/ 1/3 N) (/ -1/2 N)) (/ 1 N)))) (cbrt (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301280.382 * * * * [misc]progress: [ 35 / 68 ] simplifiying candidate # 1545301280.383 * [enter]simplify: Simplifying (cbrt 1) 1545301280.383 * * [misc]simplify: iters left: 1 (2 enodes) 1545301280.384 * [exit]simplify: Simplified to 1 1545301280.384 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* 1 (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301280.384 * * * * [misc]progress: [ 36 / 68 ] simplifiying candidate # 1545301280.385 * * * * [misc]progress: [ 37 / 68 ] simplifiying candidate # 1545301280.385 * * * * [misc]progress: [ 38 / 68 ] simplifiying candidate # 1545301280.385 * * * * [misc]progress: [ 39 / 68 ] simplifiying candidate # 1545301280.385 * * * * [misc]progress: [ 40 / 68 ] simplifiying candidate # 1545301280.385 * * * * [misc]progress: [ 41 / 68 ] simplifiying candidate # 1545301280.385 * * * * [misc]progress: [ 42 / 68 ] simplifiying candidate # 1545301280.385 * * * * [misc]progress: [ 43 / 68 ] simplifiying candidate # 1545301280.385 * [enter]simplify: Simplifying (- 2) 1545301280.385 * * [misc]simplify: iters left: 2 (2 enodes) 1545301280.387 * * [misc]simplify: iters left: 1 (3 enodes) 1545301280.387 * [exit]simplify: Simplified to -2 1545301280.387 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (pow N -2) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301280.387 * * * * [misc]progress: [ 44 / 68 ] simplifiying candidate # 1545301280.388 * [enter]simplify: Simplifying (- 1) 1545301280.388 * * [misc]simplify: iters left: 2 (2 enodes) 1545301280.389 * * [misc]simplify: iters left: 1 (5 enodes) 1545301280.390 * [exit]simplify: Simplified to -1 1545301280.390 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (pow (* N N) -1) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301280.390 * * * * [misc]progress: [ 45 / 68 ] simplifiying candidate # 1545301280.390 * * * * [misc]progress: [ 46 / 68 ] simplifiying candidate # 1545301280.390 * * * * [misc]progress: [ 47 / 68 ] simplifiying candidate # 1545301280.390 * * * * [misc]progress: [ 48 / 68 ] simplifiying candidate # 1545301280.390 * * * * [misc]progress: [ 49 / 68 ] simplifiying candidate # 1545301280.390 * * * * [misc]progress: [ 50 / 68 ] simplifiying candidate # 1545301280.390 * * * * [misc]progress: [ 51 / 68 ] simplifiying candidate # 1545301280.390 * * * * [misc]progress: [ 52 / 68 ] simplifiying candidate # 1545301280.390 * * * * [misc]progress: [ 53 / 68 ] simplifiying candidate # 1545301280.390 * * * * [misc]progress: [ 54 / 68 ] simplifiying candidate # 1545301280.390 * * * * [misc]progress: [ 55 / 68 ] simplifiying candidate # 1545301280.391 * * * * [misc]progress: [ 56 / 68 ] simplifiying candidate # 1545301280.391 * * * * [misc]progress: [ 57 / 68 ] simplifiying candidate # 1545301280.391 * [enter]simplify: Simplifying (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 1545301280.391 * * [misc]simplify: iters left: 6 (19 enodes) 1545301280.399 * * [misc]simplify: iters left: 5 (40 enodes) 1545301280.418 * * [misc]simplify: iters left: 4 (97 enodes) 1545301280.458 * * [misc]simplify: iters left: 3 (196 enodes) 1545301280.531 * * [misc]simplify: iters left: 2 (443 enodes) 1545301280.807 * [exit]simplify: Simplified to (fma (* (cbrt 1/3) (pow N -1)) (* N (fma 3/4 N -1/2)) (* (cbrt 1/3) (pow N -1))) 1545301280.807 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (fma (* (cbrt 1/3) (pow N -1)) (* N (fma 3/4 N -1/2)) (* (cbrt 1/3) (pow N -1))))) 1545301280.807 * * * * [misc]progress: [ 58 / 68 ] simplifiying candidate # 1545301280.807 * [enter]simplify: Simplifying (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 1545301280.807 * * [misc]simplify: iters left: 6 (19 enodes) 1545301280.810 * * [misc]simplify: iters left: 5 (31 enodes) 1545301280.816 * * [misc]simplify: iters left: 4 (50 enodes) 1545301280.823 * * [misc]simplify: iters left: 3 (65 enodes) 1545301280.831 * * [misc]simplify: iters left: 2 (80 enodes) 1545301280.839 * * [misc]simplify: iters left: 1 (87 enodes) 1545301280.851 * [exit]simplify: Simplified to (fma 1/12 (cbrt (/ 1 (pow N 7))) (fma -1/6 (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 N)))) 1545301280.851 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (fma 1/12 (cbrt (/ 1 (pow N 7))) (fma -1/6 (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 N)))))) 1545301280.851 * * * * [misc]progress: [ 59 / 68 ] simplifiying candidate # 1545301280.852 * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) 1545301280.852 * * [misc]simplify: iters left: 6 (19 enodes) 1545301280.856 * * [misc]simplify: iters left: 5 (43 enodes) 1545301280.866 * * [misc]simplify: iters left: 4 (93 enodes) 1545301280.895 * * [misc]simplify: iters left: 3 (186 enodes) 1545301280.961 * * [misc]simplify: iters left: 2 (365 enodes) 1545301281.072 * [exit]simplify: Simplified to (fma (/ (cbrt (/ 1 N)) N) (+ (/ 1/12 N) -1/6) (cbrt (/ 1 N))) 1545301281.072 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (fma (/ (cbrt (/ 1 N)) N) (+ (/ 1/12 N) -1/6) (cbrt (/ 1 N))))) 1545301281.072 * * * * [misc]progress: [ 60 / 68 ] simplifiying candidate # 1545301281.073 * [enter]simplify: Simplifying (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 1545301281.073 * * [misc]simplify: iters left: 6 (19 enodes) 1545301281.077 * * [misc]simplify: iters left: 5 (40 enodes) 1545301281.085 * * [misc]simplify: iters left: 4 (97 enodes) 1545301281.105 * * [misc]simplify: iters left: 3 (196 enodes) 1545301281.175 * * [misc]simplify: iters left: 2 (443 enodes) 1545301281.505 * [exit]simplify: Simplified to (fma (* (cbrt 1/3) (pow N -1)) (* N (fma 3/4 N -1/2)) (* (cbrt 1/3) (pow N -1))) 1545301281.505 * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (fma (* (cbrt 1/3) (pow N -1)) (* N (fma 3/4 N -1/2)) (* (cbrt 1/3) (pow N -1)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301281.505 * * * * [misc]progress: [ 61 / 68 ] simplifiying candidate # 1545301281.505 * [enter]simplify: Simplifying (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 1545301281.505 * * [misc]simplify: iters left: 6 (19 enodes) 1545301281.509 * * [misc]simplify: iters left: 5 (31 enodes) 1545301281.519 * * [misc]simplify: iters left: 4 (50 enodes) 1545301281.533 * * [misc]simplify: iters left: 3 (65 enodes) 1545301281.542 * * [misc]simplify: iters left: 2 (80 enodes) 1545301281.550 * * [misc]simplify: iters left: 1 (87 enodes) 1545301281.565 * [exit]simplify: Simplified to (fma 1/12 (cbrt (/ 1 (pow N 7))) (fma -1/6 (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 N)))) 1545301281.565 * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (fma 1/12 (cbrt (/ 1 (pow N 7))) (fma -1/6 (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 N))))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301281.565 * * * * [misc]progress: [ 62 / 68 ] simplifiying candidate # 1545301281.565 * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) 1545301281.566 * * [misc]simplify: iters left: 6 (19 enodes) 1545301281.570 * * [misc]simplify: iters left: 5 (43 enodes) 1545301281.578 * * [misc]simplify: iters left: 4 (93 enodes) 1545301281.594 * * [misc]simplify: iters left: 3 (186 enodes) 1545301281.661 * * [misc]simplify: iters left: 2 (365 enodes) 1545301281.841 * [exit]simplify: Simplified to (fma (/ (cbrt (/ 1 N)) N) (+ (/ 1/12 N) -1/6) (cbrt (/ 1 N))) 1545301281.841 * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (fma (/ (cbrt (/ 1 N)) N) (+ (/ 1/12 N) -1/6) (cbrt (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301281.841 * * * * [misc]progress: [ 63 / 68 ] simplifiying candidate # 1545301281.842 * [enter]simplify: Simplifying (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 1545301281.842 * * [misc]simplify: iters left: 6 (19 enodes) 1545301281.850 * * [misc]simplify: iters left: 5 (40 enodes) 1545301281.866 * * [misc]simplify: iters left: 4 (97 enodes) 1545301281.887 * * [misc]simplify: iters left: 3 (196 enodes) 1545301281.960 * * [misc]simplify: iters left: 2 (443 enodes) 1545301282.292 * [exit]simplify: Simplified to (fma (* (cbrt 1/3) (pow N -1)) (* N (fma 3/4 N -1/2)) (* (cbrt 1/3) (pow N -1))) 1545301282.293 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (fma (* (cbrt 1/3) (pow N -1)) (* N (fma 3/4 N -1/2)) (* (cbrt 1/3) (pow N -1))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301282.293 * * * * [misc]progress: [ 64 / 68 ] simplifiying candidate # 1545301282.293 * [enter]simplify: Simplifying (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 1545301282.293 * * [misc]simplify: iters left: 6 (19 enodes) 1545301282.300 * * [misc]simplify: iters left: 5 (31 enodes) 1545301282.305 * * [misc]simplify: iters left: 4 (50 enodes) 1545301282.313 * * [misc]simplify: iters left: 3 (65 enodes) 1545301282.324 * * [misc]simplify: iters left: 2 (80 enodes) 1545301282.336 * * [misc]simplify: iters left: 1 (87 enodes) 1545301282.348 * [exit]simplify: Simplified to (fma 1/12 (cbrt (/ 1 (pow N 7))) (fma -1/6 (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 N)))) 1545301282.349 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (fma 1/12 (cbrt (/ 1 (pow N 7))) (fma -1/6 (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301282.349 * * * * [misc]progress: [ 65 / 68 ] simplifiying candidate # 1545301282.349 * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) 1545301282.349 * * [misc]simplify: iters left: 6 (19 enodes) 1545301282.353 * * [misc]simplify: iters left: 5 (43 enodes) 1545301282.362 * * [misc]simplify: iters left: 4 (93 enodes) 1545301282.386 * * [misc]simplify: iters left: 3 (186 enodes) 1545301282.434 * * [misc]simplify: iters left: 2 (365 enodes) 1545301282.584 * [exit]simplify: Simplified to (fma (/ (cbrt (/ 1 N)) N) (+ (/ 1/12 N) -1/6) (cbrt (/ 1 N))) 1545301282.584 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (fma (/ (cbrt (/ 1 N)) N) (+ (/ 1/12 N) -1/6) (cbrt (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301282.584 * * * * [misc]progress: [ 66 / 68 ] simplifiying candidate # 1545301282.584 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1545301282.584 * * [misc]simplify: iters left: 3 (5 enodes) 1545301282.585 * * [misc]simplify: iters left: 2 (8 enodes) 1545301282.586 * * [misc]simplify: iters left: 1 (10 enodes) 1545301282.587 * [exit]simplify: Simplified to (/ 1 (* N N)) 1545301282.587 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301282.587 * * * * [misc]progress: [ 67 / 68 ] simplifiying candidate # 1545301282.588 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1545301282.588 * * [misc]simplify: iters left: 3 (5 enodes) 1545301282.588 * * [misc]simplify: iters left: 2 (8 enodes) 1545301282.589 * * [misc]simplify: iters left: 1 (10 enodes) 1545301282.591 * [exit]simplify: Simplified to (/ 1 (* N N)) 1545301282.591 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301282.591 * * * * [misc]progress: [ 68 / 68 ] simplifiying candidate # 1545301282.591 * [enter]simplify: Simplifying (/ 1 (pow N 2)) 1545301282.591 * * [misc]simplify: iters left: 3 (5 enodes) 1545301282.592 * * [misc]simplify: iters left: 2 (8 enodes) 1545301282.593 * * [misc]simplify: iters left: 1 (10 enodes) 1545301282.594 * [exit]simplify: Simplified to (/ 1 (* N N)) 1545301282.594 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))))) 1545301282.594 * * * [misc]progress: adding candidates to table 1545301283.469 * [misc]progress: [Phase 3 of 3] Extracting. 1545301283.469 * * [misc]regime: Finding splitpoints for: (# # # #) 1545301283.470 * * * [misc]regime-changes: Trying 1 branch expressions: (N) 1545301283.470 * * * * [misc]regimes: Trying to branch on N from (# # # #) 1545301283.512 * * * [misc]regime: Found split indices: #