108.940 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.394 * * * [progress]: [2/2] Setting up program. 0.432 * [progress]: [Phase 2 of 3] Improving. 0.435 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.435 * * [simplify]: iteration 0: 6 enodes 0.438 * * [simplify]: iteration 1: 9 enodes 0.441 * * [simplify]: iteration 2: 10 enodes 0.444 * * [simplify]: iteration complete: 10 enodes 0.444 * * [simplify]: Extracting #0: cost 1 inf + 0 0.444 * * [simplify]: Extracting #1: cost 4 inf + 0 0.445 * * [simplify]: Extracting #2: cost 6 inf + 0 0.445 * * [simplify]: Extracting #3: cost 6 inf + 1 0.445 * * [simplify]: Extracting #4: cost 2 inf + 226 0.445 * * [simplify]: Extracting #5: cost 0 inf + 560 0.445 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.447 * * [progress]: iteration 1 / 4 0.447 * * * [progress]: picking best candidate 0.455 * * * * [pick]: Picked # 0.458 * * * [progress]: localizing error 0.504 * * * [progress]: generating rewritten candidates 0.505 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.518 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.558 * * * [progress]: generating series expansions 0.558 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.562 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.562 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.562 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.562 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.562 * [taylor]: Taking taylor expansion of N in N 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [taylor]: Taking taylor expansion of 1.0 in N 0.562 * [backup-simplify]: Simplify 1.0 into 1.0 0.564 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.566 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.566 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.566 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [taylor]: Taking taylor expansion of 1.0 in N 0.566 * [backup-simplify]: Simplify 1.0 into 1.0 0.567 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.568 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.570 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.585 * [backup-simplify]: Simplify (+ 1 0) into 1 0.592 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.592 * [backup-simplify]: Simplify 1.0 into 1.0 0.605 * [backup-simplify]: Simplify (+ 0 0) into 0 0.619 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.621 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.624 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.624 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.624 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.625 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.625 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.625 * [taylor]: Taking taylor expansion of N in N 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [taylor]: Taking taylor expansion of 1.0 in N 0.632 * [backup-simplify]: Simplify 1.0 into 1.0 0.634 * [backup-simplify]: Simplify (+ 1 0) into 1 0.634 * [backup-simplify]: Simplify (log 1) into 0 0.634 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.634 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.634 * [taylor]: Taking taylor expansion of N in N 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (/ 1 1) into 1 0.635 * [taylor]: Taking taylor expansion of 1.0 in N 0.635 * [backup-simplify]: Simplify 1.0 into 1.0 0.636 * [backup-simplify]: Simplify (+ 1 0) into 1 0.636 * [backup-simplify]: Simplify (log 1) into 0 0.643 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.643 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.653 * [backup-simplify]: Simplify 1.0 into 1.0 0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.828 * [backup-simplify]: Simplify -0.5 into -0.5 0.828 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.829 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.829 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.829 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.829 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.829 * [taylor]: Taking taylor expansion of 1.0 in N 0.829 * [backup-simplify]: Simplify 1.0 into 1.0 0.829 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.829 * [taylor]: Taking taylor expansion of N in N 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 1 into 1 0.830 * [backup-simplify]: Simplify (/ 1 1) into 1 0.830 * [backup-simplify]: Simplify (- 1) into -1 0.830 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.831 * [backup-simplify]: Simplify (log -1) into (log -1) 0.831 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.831 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.831 * [taylor]: Taking taylor expansion of 1.0 in N 0.831 * [backup-simplify]: Simplify 1.0 into 1.0 0.831 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.831 * [taylor]: Taking taylor expansion of N in N 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 1 into 1 0.832 * [backup-simplify]: Simplify (/ 1 1) into 1 0.832 * [backup-simplify]: Simplify (- 1) into -1 0.846 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.848 * [backup-simplify]: Simplify (log -1) into (log -1) 0.857 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.858 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (- 0) into 0 0.867 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.881 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.881 * [backup-simplify]: Simplify -1.0 into -1.0 0.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (- 0) into 0 0.883 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.908 * [backup-simplify]: Simplify -0.5 into -0.5 0.909 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.909 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.910 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.910 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.910 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.910 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.910 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.917 * [taylor]: Taking taylor expansion of N in N 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [taylor]: Taking taylor expansion of 1.0 in N 0.917 * [backup-simplify]: Simplify 1.0 into 1.0 0.926 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.927 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.927 * [taylor]: Taking taylor expansion of (log N) in N 0.927 * [taylor]: Taking taylor expansion of N in N 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify (log 1) into 0 0.928 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.928 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.928 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.928 * [taylor]: Taking taylor expansion of N in N 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [taylor]: Taking taylor expansion of 1.0 in N 0.928 * [backup-simplify]: Simplify 1.0 into 1.0 0.932 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.942 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.942 * [taylor]: Taking taylor expansion of (log N) in N 0.942 * [taylor]: Taking taylor expansion of N in N 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (log 1) into 0 0.944 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.944 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.945 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.945 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.953 * [backup-simplify]: Simplify (+ 1 0) into 1 0.973 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.975 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.976 * [backup-simplify]: Simplify (- 0) into 0 0.977 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.977 * [backup-simplify]: Simplify 1.0 into 1.0 0.977 * [backup-simplify]: Simplify (+ 0 0) into 0 1.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.047 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.048 * [backup-simplify]: Simplify (- 0) into 0 1.054 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 1.057 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 1.071 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 1.072 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 1.072 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 1.072 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 1.072 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.072 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.072 * [taylor]: Taking taylor expansion of N in N 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify (/ 1 1) into 1 1.072 * [taylor]: Taking taylor expansion of 1.0 in N 1.072 * [backup-simplify]: Simplify 1.0 into 1.0 1.072 * [backup-simplify]: Simplify (+ 1 0) into 1 1.073 * [backup-simplify]: Simplify (log 1) into 0 1.073 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.073 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.073 * [taylor]: Taking taylor expansion of N in N 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [backup-simplify]: Simplify (/ 1 1) into 1 1.073 * [backup-simplify]: Simplify (log 1) into 0 1.073 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 1.073 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.073 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.073 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.073 * [taylor]: Taking taylor expansion of N in N 1.074 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify (/ 1 1) into 1 1.079 * [taylor]: Taking taylor expansion of 1.0 in N 1.079 * [backup-simplify]: Simplify 1.0 into 1.0 1.080 * [backup-simplify]: Simplify (+ 1 0) into 1 1.080 * [backup-simplify]: Simplify (log 1) into 0 1.080 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.081 * [taylor]: Taking taylor expansion of N in N 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [backup-simplify]: Simplify (/ 1 1) into 1 1.081 * [backup-simplify]: Simplify (log 1) into 0 1.082 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.083 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.083 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 1.083 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 1.083 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.084 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.099 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.101 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.102 * [backup-simplify]: Simplify (- 0) into 0 1.103 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.103 * [backup-simplify]: Simplify 1.0 into 1.0 1.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.104 * [backup-simplify]: Simplify (+ 0 0) into 0 1.118 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.124 * [backup-simplify]: Simplify (- 0) into 0 1.125 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 1.125 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.128 * [backup-simplify]: Simplify (+ 0 0) into 0 1.148 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 1.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.156 * [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 1.156 * [backup-simplify]: Simplify (- 0) into 0 1.157 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 1.157 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.158 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.158 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 1.158 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 1.158 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 1.158 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.158 * [taylor]: Taking taylor expansion of 1.0 in N 1.158 * [backup-simplify]: Simplify 1.0 into 1.0 1.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.158 * [taylor]: Taking taylor expansion of N in N 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.159 * [backup-simplify]: Simplify (/ 1 1) into 1 1.159 * [backup-simplify]: Simplify (- 1) into -1 1.160 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.160 * [backup-simplify]: Simplify (log -1) into (log -1) 1.160 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.160 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.160 * [taylor]: Taking taylor expansion of -1 in N 1.160 * [backup-simplify]: Simplify -1 into -1 1.160 * [taylor]: Taking taylor expansion of N in N 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify 1 into 1 1.161 * [backup-simplify]: Simplify (/ -1 1) into -1 1.161 * [backup-simplify]: Simplify (log -1) into (log -1) 1.161 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 1.161 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.161 * [taylor]: Taking taylor expansion of 1.0 in N 1.161 * [backup-simplify]: Simplify 1.0 into 1.0 1.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.162 * [taylor]: Taking taylor expansion of N in N 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.162 * [backup-simplify]: Simplify (/ 1 1) into 1 1.163 * [backup-simplify]: Simplify (- 1) into -1 1.163 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.164 * [backup-simplify]: Simplify (log -1) into (log -1) 1.164 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.164 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.164 * [taylor]: Taking taylor expansion of -1 in N 1.164 * [backup-simplify]: Simplify -1 into -1 1.164 * [taylor]: Taking taylor expansion of N in N 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 1 into 1 1.164 * [backup-simplify]: Simplify (/ -1 1) into -1 1.165 * [backup-simplify]: Simplify (log -1) into (log -1) 1.166 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.168 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.168 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1.176 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.180 * [backup-simplify]: Simplify (- 0) into 0 1.283 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1.304 * [backup-simplify]: Simplify (- 0) into 0 1.304 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 1.305 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.320 * [backup-simplify]: Simplify (- 0) into 0 1.321 * [backup-simplify]: Simplify (+ 0 0) into 0 1.333 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 1.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.338 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1.339 * [backup-simplify]: Simplify (- 0) into 0 1.339 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 1.339 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (- 0) into 0 1.341 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 1.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.360 * [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 1.361 * [backup-simplify]: Simplify (- 0) into 0 1.361 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 1.362 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 1.364 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.379 * * * [progress]: simplifying candidates 1.381 * [simplify]: Simplifying: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.384 * * [simplify]: iteration 0: 101 enodes 1.438 * * [simplify]: iteration 1: 213 enodes 1.642 * * [simplify]: iteration 2: 528 enodes 2.462 * * [simplify]: iteration 3: 1602 enodes 8.154 * * [simplify]: iteration 4: 4900 enodes 13.027 * * [simplify]: iteration complete: 5000 enodes 13.028 * * [simplify]: Extracting #0: cost 39 inf + 0 13.029 * * [simplify]: Extracting #1: cost 321 inf + 1 13.217 * * [simplify]: Extracting #2: cost 1056 inf + 3788 13.305 * * [simplify]: Extracting #3: cost 1004 inf + 53267 13.367 * * [simplify]: Extracting #4: cost 210 inf + 169873 13.630 * * [simplify]: Extracting #5: cost 11 inf + 222876 13.772 * * [simplify]: Extracting #6: cost 0 inf + 227141 13.914 * [simplify]: Simplified to: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (* (* N N) N) (* (* 1.0 1.0) 1.0))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (log N) (* (log N) (log N)))) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (* (+ (log (+ N 1.0)) (log N)) (log N))) (- (log N)) (* (- (log (+ N 1.0)) (log N)) (+ (log (+ N 1.0)) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (+ (- (log 1.0) (* (/ N 1.0) (* (/ N 1.0) 1/2))) (* 1.0 N)) (+ (/ 1.0 N) (- (log N) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (log N) (/ (/ 0.5 N) N))) (- (- (+ (* 1.0 N) (log 1.0)) (log N)) (* (/ N 1.0) (* (/ N 1.0) 1/2))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) 13.926 * * * [progress]: adding candidates to table 14.738 * * [progress]: iteration 2 / 4 14.738 * * * [progress]: picking best candidate 14.756 * * * * [pick]: Picked # 14.757 * * * [progress]: localizing error 14.794 * * * [progress]: generating rewritten candidates 14.794 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 15.174 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 15.191 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 15.256 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 15.323 * * * [progress]: generating series expansions 15.323 * * * * [progress]: [ 1 / 4 ] generating series at (2) 15.324 * [backup-simplify]: Simplify (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 15.324 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 15.324 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 15.324 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 15.324 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 15.324 * [taylor]: Taking taylor expansion of 1.0 in N 15.324 * [backup-simplify]: Simplify 1.0 into 1.0 15.324 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.324 * [taylor]: Taking taylor expansion of N in N 15.324 * [backup-simplify]: Simplify 0 into 0 15.324 * [backup-simplify]: Simplify 1 into 1 15.326 * [backup-simplify]: Simplify (/ 1 1) into 1 15.326 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 15.326 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 15.326 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.326 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 15.326 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.326 * [taylor]: Taking taylor expansion of N in N 15.326 * [backup-simplify]: Simplify 0 into 0 15.326 * [backup-simplify]: Simplify 1 into 1 15.327 * [backup-simplify]: Simplify (* 1 1) into 1 15.328 * [backup-simplify]: Simplify (* 1 1) into 1 15.328 * [backup-simplify]: Simplify (/ 1 1) into 1 15.328 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 15.328 * [taylor]: Taking taylor expansion of 0.5 in N 15.328 * [backup-simplify]: Simplify 0.5 into 0.5 15.328 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 15.328 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.328 * [taylor]: Taking taylor expansion of N in N 15.328 * [backup-simplify]: Simplify 0 into 0 15.328 * [backup-simplify]: Simplify 1 into 1 15.329 * [backup-simplify]: Simplify (* 1 1) into 1 15.329 * [backup-simplify]: Simplify (/ 1 1) into 1 15.329 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 15.329 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 15.329 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 15.329 * [taylor]: Taking taylor expansion of 1.0 in N 15.329 * [backup-simplify]: Simplify 1.0 into 1.0 15.329 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.329 * [taylor]: Taking taylor expansion of N in N 15.329 * [backup-simplify]: Simplify 0 into 0 15.329 * [backup-simplify]: Simplify 1 into 1 15.329 * [backup-simplify]: Simplify (/ 1 1) into 1 15.329 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 15.329 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 15.329 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.330 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 15.330 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.330 * [taylor]: Taking taylor expansion of N in N 15.330 * [backup-simplify]: Simplify 0 into 0 15.330 * [backup-simplify]: Simplify 1 into 1 15.330 * [backup-simplify]: Simplify (* 1 1) into 1 15.330 * [backup-simplify]: Simplify (* 1 1) into 1 15.331 * [backup-simplify]: Simplify (/ 1 1) into 1 15.331 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 15.331 * [taylor]: Taking taylor expansion of 0.5 in N 15.331 * [backup-simplify]: Simplify 0.5 into 0.5 15.331 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 15.331 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.331 * [taylor]: Taking taylor expansion of N in N 15.331 * [backup-simplify]: Simplify 0 into 0 15.331 * [backup-simplify]: Simplify 1 into 1 15.331 * [backup-simplify]: Simplify (* 1 1) into 1 15.332 * [backup-simplify]: Simplify (/ 1 1) into 1 15.332 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 15.333 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 15.333 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 15.333 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.336 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 15.337 * [backup-simplify]: Simplify (+ 0 0) into 0 15.337 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.337 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.338 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 15.339 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.339 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.343 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 15.344 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.346 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 15.347 * [backup-simplify]: Simplify (- 0) into 0 15.347 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.347 * [backup-simplify]: Simplify 1.0 into 1.0 15.348 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 15.349 * [backup-simplify]: Simplify (+ (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N)))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 15.349 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 15.349 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 15.349 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 15.349 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 15.349 * [taylor]: Taking taylor expansion of 1.0 in N 15.349 * [backup-simplify]: Simplify 1.0 into 1.0 15.349 * [taylor]: Taking taylor expansion of N in N 15.349 * [backup-simplify]: Simplify 0 into 0 15.349 * [backup-simplify]: Simplify 1 into 1 15.350 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 15.350 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 15.350 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.350 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.350 * [taylor]: Taking taylor expansion of N in N 15.350 * [backup-simplify]: Simplify 0 into 0 15.350 * [backup-simplify]: Simplify 1 into 1 15.350 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 15.350 * [taylor]: Taking taylor expansion of 0.5 in N 15.350 * [backup-simplify]: Simplify 0.5 into 0.5 15.350 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.350 * [taylor]: Taking taylor expansion of N in N 15.350 * [backup-simplify]: Simplify 0 into 0 15.350 * [backup-simplify]: Simplify 1 into 1 15.350 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 15.350 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 15.350 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 15.350 * [taylor]: Taking taylor expansion of 1.0 in N 15.350 * [backup-simplify]: Simplify 1.0 into 1.0 15.350 * [taylor]: Taking taylor expansion of N in N 15.350 * [backup-simplify]: Simplify 0 into 0 15.350 * [backup-simplify]: Simplify 1 into 1 15.350 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 15.350 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 15.350 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.351 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.351 * [taylor]: Taking taylor expansion of N in N 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [backup-simplify]: Simplify 1 into 1 15.351 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 15.351 * [taylor]: Taking taylor expansion of 0.5 in N 15.351 * [backup-simplify]: Simplify 0.5 into 0.5 15.351 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.351 * [taylor]: Taking taylor expansion of N in N 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [backup-simplify]: Simplify 1 into 1 15.352 * [backup-simplify]: Simplify (* 1.0 0) into 0 15.352 * [backup-simplify]: Simplify (+ 0 0) into 0 15.352 * [backup-simplify]: Simplify (+ 0 0) into 0 15.352 * [backup-simplify]: Simplify 0 into 0 15.354 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 15.354 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.354 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.355 * [backup-simplify]: Simplify 1.0 into 1.0 15.355 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 15.356 * [backup-simplify]: Simplify (+ 0 0) into 0 15.356 * [backup-simplify]: Simplify (* 1 1) into 1 15.356 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.357 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.358 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 15.358 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.360 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.361 * [backup-simplify]: Simplify (* 1 1) into 1 15.361 * [backup-simplify]: Simplify (* 1 1) into 1 15.362 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 15.363 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 15.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.364 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 15.365 * [backup-simplify]: Simplify (- 0) into 0 15.365 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 15.365 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.366 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 15.367 * [backup-simplify]: Simplify (+ (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 15.367 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 15.367 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 15.367 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 15.367 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 15.367 * [taylor]: Taking taylor expansion of 0.5 in N 15.367 * [backup-simplify]: Simplify 0.5 into 0.5 15.367 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.367 * [taylor]: Taking taylor expansion of N in N 15.367 * [backup-simplify]: Simplify 0 into 0 15.367 * [backup-simplify]: Simplify 1 into 1 15.367 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 15.368 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 15.368 * [taylor]: Taking taylor expansion of 1.0 in N 15.368 * [backup-simplify]: Simplify 1.0 into 1.0 15.368 * [taylor]: Taking taylor expansion of N in N 15.368 * [backup-simplify]: Simplify 0 into 0 15.368 * [backup-simplify]: Simplify 1 into 1 15.368 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 15.368 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 15.368 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.368 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.368 * [taylor]: Taking taylor expansion of N in N 15.368 * [backup-simplify]: Simplify 0 into 0 15.368 * [backup-simplify]: Simplify 1 into 1 15.368 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 15.368 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 15.368 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 15.368 * [taylor]: Taking taylor expansion of 0.5 in N 15.368 * [backup-simplify]: Simplify 0.5 into 0.5 15.368 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.368 * [taylor]: Taking taylor expansion of N in N 15.368 * [backup-simplify]: Simplify 0 into 0 15.368 * [backup-simplify]: Simplify 1 into 1 15.368 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 15.368 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 15.368 * [taylor]: Taking taylor expansion of 1.0 in N 15.368 * [backup-simplify]: Simplify 1.0 into 1.0 15.368 * [taylor]: Taking taylor expansion of N in N 15.368 * [backup-simplify]: Simplify 0 into 0 15.368 * [backup-simplify]: Simplify 1 into 1 15.368 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 15.369 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 15.369 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.369 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.369 * [taylor]: Taking taylor expansion of N in N 15.369 * [backup-simplify]: Simplify 0 into 0 15.369 * [backup-simplify]: Simplify 1 into 1 15.370 * [backup-simplify]: Simplify (* 1.0 0) into 0 15.370 * [backup-simplify]: Simplify (+ 0 0) into 0 15.370 * [backup-simplify]: Simplify (+ 0 0) into 0 15.371 * [backup-simplify]: Simplify (- 0) into 0 15.371 * [backup-simplify]: Simplify 0 into 0 15.373 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 15.373 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.374 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.374 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 15.375 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 15.375 * [backup-simplify]: Simplify (* 1 1) into 1 15.376 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.377 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 15.377 * [backup-simplify]: Simplify (+ 0 0) into 0 15.382 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 15.383 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.384 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.385 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 15.387 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.388 * [backup-simplify]: Simplify (* 1 1) into 1 15.388 * [backup-simplify]: Simplify (* 1 1) into 1 15.388 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 15.389 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 15.389 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 15.390 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 15.390 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 15.392 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 15.393 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 15.393 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 15.393 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 15.393 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 15.393 * [taylor]: Taking taylor expansion of 0.5 in N 15.393 * [backup-simplify]: Simplify 0.5 into 0.5 15.393 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.393 * [taylor]: Taking taylor expansion of N in N 15.393 * [backup-simplify]: Simplify 0 into 0 15.393 * [backup-simplify]: Simplify 1 into 1 15.394 * [backup-simplify]: Simplify (* 1 1) into 1 15.394 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 15.395 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 15.395 * [taylor]: Taking taylor expansion of 0.5 in N 15.395 * [backup-simplify]: Simplify 0.5 into 0.5 15.395 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.395 * [taylor]: Taking taylor expansion of N in N 15.395 * [backup-simplify]: Simplify 0 into 0 15.395 * [backup-simplify]: Simplify 1 into 1 15.395 * [backup-simplify]: Simplify (* 1 1) into 1 15.396 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 15.396 * [backup-simplify]: Simplify 0.5 into 0.5 15.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 15.398 * [backup-simplify]: Simplify 0 into 0 15.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.400 * [backup-simplify]: Simplify 0 into 0 15.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.402 * [backup-simplify]: Simplify 0 into 0 15.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.405 * [backup-simplify]: Simplify 0 into 0 15.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.409 * [backup-simplify]: Simplify 0 into 0 15.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.412 * [backup-simplify]: Simplify 0 into 0 15.412 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 15.412 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 15.412 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 15.413 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 15.413 * [taylor]: Taking taylor expansion of 0.5 in N 15.413 * [backup-simplify]: Simplify 0.5 into 0.5 15.413 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.413 * [taylor]: Taking taylor expansion of N in N 15.413 * [backup-simplify]: Simplify 0 into 0 15.413 * [backup-simplify]: Simplify 1 into 1 15.413 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 15.413 * [taylor]: Taking taylor expansion of 0.5 in N 15.413 * [backup-simplify]: Simplify 0.5 into 0.5 15.413 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.413 * [taylor]: Taking taylor expansion of N in N 15.413 * [backup-simplify]: Simplify 0 into 0 15.413 * [backup-simplify]: Simplify 1 into 1 15.413 * [backup-simplify]: Simplify (* 1 1) into 1 15.414 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.414 * [backup-simplify]: Simplify 0.5 into 0.5 15.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.414 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 15.415 * [backup-simplify]: Simplify 0 into 0 15.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.416 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 15.416 * [backup-simplify]: Simplify 0 into 0 15.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.418 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.418 * [backup-simplify]: Simplify 0 into 0 15.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.421 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.421 * [backup-simplify]: Simplify 0 into 0 15.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.424 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.424 * [backup-simplify]: Simplify 0 into 0 15.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.427 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.428 * [backup-simplify]: Simplify 0 into 0 15.428 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 15.428 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 15.428 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 15.428 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 15.428 * [taylor]: Taking taylor expansion of 0.5 in N 15.428 * [backup-simplify]: Simplify 0.5 into 0.5 15.428 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.428 * [taylor]: Taking taylor expansion of N in N 15.428 * [backup-simplify]: Simplify 0 into 0 15.428 * [backup-simplify]: Simplify 1 into 1 15.428 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 15.428 * [taylor]: Taking taylor expansion of 0.5 in N 15.428 * [backup-simplify]: Simplify 0.5 into 0.5 15.428 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.428 * [taylor]: Taking taylor expansion of N in N 15.429 * [backup-simplify]: Simplify 0 into 0 15.429 * [backup-simplify]: Simplify 1 into 1 15.429 * [backup-simplify]: Simplify (* 1 1) into 1 15.429 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.429 * [backup-simplify]: Simplify 0.5 into 0.5 15.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.431 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 15.431 * [backup-simplify]: Simplify 0 into 0 15.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.433 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 15.433 * [backup-simplify]: Simplify 0 into 0 15.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.436 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.436 * [backup-simplify]: Simplify 0 into 0 15.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.439 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.439 * [backup-simplify]: Simplify 0 into 0 15.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.441 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.442 * [backup-simplify]: Simplify 0 into 0 15.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.445 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.445 * [backup-simplify]: Simplify 0 into 0 15.446 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 15.446 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 15.446 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 N) (* N N)) into (/ 0.3333333333333333 (pow N 3)) 15.446 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 15.446 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 15.446 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 15.446 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.446 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.446 * [taylor]: Taking taylor expansion of N in N 15.446 * [backup-simplify]: Simplify 0 into 0 15.446 * [backup-simplify]: Simplify 1 into 1 15.447 * [backup-simplify]: Simplify (* 1 1) into 1 15.447 * [backup-simplify]: Simplify (* 1 1) into 1 15.448 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 15.448 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 15.448 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 15.448 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.448 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.448 * [taylor]: Taking taylor expansion of N in N 15.448 * [backup-simplify]: Simplify 0 into 0 15.448 * [backup-simplify]: Simplify 1 into 1 15.448 * [backup-simplify]: Simplify (* 1 1) into 1 15.449 * [backup-simplify]: Simplify (* 1 1) into 1 15.449 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 15.449 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 15.462 * [backup-simplify]: Simplify 0 into 0 15.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.467 * [backup-simplify]: Simplify 0 into 0 15.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.470 * [backup-simplify]: Simplify 0 into 0 15.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.474 * [backup-simplify]: Simplify 0 into 0 15.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.477 * [backup-simplify]: Simplify 0 into 0 15.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.482 * [backup-simplify]: Simplify 0 into 0 15.482 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 15.483 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (* 0.3333333333333333 (pow N 3)) 15.483 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 15.483 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 15.483 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 15.483 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.483 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.483 * [taylor]: Taking taylor expansion of N in N 15.483 * [backup-simplify]: Simplify 0 into 0 15.483 * [backup-simplify]: Simplify 1 into 1 15.483 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 15.483 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 15.483 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.483 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.483 * [taylor]: Taking taylor expansion of N in N 15.483 * [backup-simplify]: Simplify 0 into 0 15.483 * [backup-simplify]: Simplify 1 into 1 15.484 * [backup-simplify]: Simplify (* 1 1) into 1 15.485 * [backup-simplify]: Simplify (* 1 1) into 1 15.485 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 15.485 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 15.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.547 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 15.547 * [backup-simplify]: Simplify 0 into 0 15.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.551 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 15.551 * [backup-simplify]: Simplify 0 into 0 15.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.555 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.555 * [backup-simplify]: Simplify 0 into 0 15.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.559 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.559 * [backup-simplify]: Simplify 0 into 0 15.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.568 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.569 * [backup-simplify]: Simplify 0 into 0 15.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.577 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.578 * [backup-simplify]: Simplify 0 into 0 15.579 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 15.580 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -0.3333333333333333 (pow N 3)) 15.580 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 15.580 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 15.580 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 15.580 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 15.580 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.580 * [taylor]: Taking taylor expansion of N in N 15.580 * [backup-simplify]: Simplify 0 into 0 15.580 * [backup-simplify]: Simplify 1 into 1 15.580 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 15.580 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 15.580 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 15.580 * [taylor]: Taking taylor expansion of (pow N 3) in N 15.580 * [taylor]: Taking taylor expansion of N in N 15.580 * [backup-simplify]: Simplify 0 into 0 15.580 * [backup-simplify]: Simplify 1 into 1 15.581 * [backup-simplify]: Simplify (* 1 1) into 1 15.582 * [backup-simplify]: Simplify (* 1 1) into 1 15.582 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 15.582 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 15.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.586 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 15.586 * [backup-simplify]: Simplify 0 into 0 15.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.600 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 15.600 * [backup-simplify]: Simplify 0 into 0 15.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.608 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.609 * [backup-simplify]: Simplify 0 into 0 15.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.620 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.620 * [backup-simplify]: Simplify 0 into 0 15.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.634 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.634 * [backup-simplify]: Simplify 0 into 0 15.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.640 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.640 * [backup-simplify]: Simplify 0 into 0 15.641 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 15.641 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 15.641 * [backup-simplify]: Simplify (- (/ 1.0 N) (/ 0.5 (* N N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 15.641 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 15.641 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 15.641 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 15.641 * [taylor]: Taking taylor expansion of 1.0 in N 15.641 * [backup-simplify]: Simplify 1.0 into 1.0 15.641 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.641 * [taylor]: Taking taylor expansion of N in N 15.641 * [backup-simplify]: Simplify 0 into 0 15.641 * [backup-simplify]: Simplify 1 into 1 15.645 * [backup-simplify]: Simplify (/ 1 1) into 1 15.646 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 15.646 * [taylor]: Taking taylor expansion of 0.5 in N 15.646 * [backup-simplify]: Simplify 0.5 into 0.5 15.646 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 15.646 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.646 * [taylor]: Taking taylor expansion of N in N 15.646 * [backup-simplify]: Simplify 0 into 0 15.646 * [backup-simplify]: Simplify 1 into 1 15.647 * [backup-simplify]: Simplify (* 1 1) into 1 15.647 * [backup-simplify]: Simplify (/ 1 1) into 1 15.647 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 15.647 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 15.647 * [taylor]: Taking taylor expansion of 1.0 in N 15.648 * [backup-simplify]: Simplify 1.0 into 1.0 15.648 * [taylor]: Taking taylor expansion of (/ 1 N) in N 15.648 * [taylor]: Taking taylor expansion of N in N 15.648 * [backup-simplify]: Simplify 0 into 0 15.648 * [backup-simplify]: Simplify 1 into 1 15.648 * [backup-simplify]: Simplify (/ 1 1) into 1 15.648 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 15.648 * [taylor]: Taking taylor expansion of 0.5 in N 15.648 * [backup-simplify]: Simplify 0.5 into 0.5 15.648 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 15.648 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.648 * [taylor]: Taking taylor expansion of N in N 15.648 * [backup-simplify]: Simplify 0 into 0 15.648 * [backup-simplify]: Simplify 1 into 1 15.649 * [backup-simplify]: Simplify (* 1 1) into 1 15.649 * [backup-simplify]: Simplify (/ 1 1) into 1 15.650 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.651 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.652 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 15.652 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.653 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 15.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.655 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 15.655 * [backup-simplify]: Simplify (- 0) into 0 15.656 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.656 * [backup-simplify]: Simplify 1.0 into 1.0 15.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.670 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 15.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.674 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 15.674 * [backup-simplify]: Simplify (- 0) into 0 15.675 * [backup-simplify]: Simplify (+ 0 0) into 0 15.675 * [backup-simplify]: Simplify 0 into 0 15.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.677 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 15.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.680 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.681 * [backup-simplify]: Simplify (- 0) into 0 15.681 * [backup-simplify]: Simplify (+ 0 0) into 0 15.681 * [backup-simplify]: Simplify 0 into 0 15.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.683 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.687 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.688 * [backup-simplify]: Simplify (- 0) into 0 15.688 * [backup-simplify]: Simplify (+ 0 0) into 0 15.688 * [backup-simplify]: Simplify 0 into 0 15.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.691 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.696 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.697 * [backup-simplify]: Simplify (- 0) into 0 15.698 * [backup-simplify]: Simplify (+ 0 0) into 0 15.698 * [backup-simplify]: Simplify 0 into 0 15.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.702 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.707 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.708 * [backup-simplify]: Simplify (- 0) into 0 15.708 * [backup-simplify]: Simplify (+ 0 0) into 0 15.708 * [backup-simplify]: Simplify 0 into 0 15.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.711 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.713 * [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 15.714 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 15.714 * [backup-simplify]: Simplify (- 0) into 0 15.714 * [backup-simplify]: Simplify (+ 0 0) into 0 15.714 * [backup-simplify]: Simplify 0 into 0 15.721 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* (- 0.5) (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 15.721 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) into (- (* 1.0 N) (* 0.5 (pow N 2))) 15.721 * [approximate]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in (N) around 0 15.721 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 15.721 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 15.721 * [taylor]: Taking taylor expansion of 1.0 in N 15.721 * [backup-simplify]: Simplify 1.0 into 1.0 15.721 * [taylor]: Taking taylor expansion of N in N 15.721 * [backup-simplify]: Simplify 0 into 0 15.721 * [backup-simplify]: Simplify 1 into 1 15.721 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 15.721 * [taylor]: Taking taylor expansion of 0.5 in N 15.721 * [backup-simplify]: Simplify 0.5 into 0.5 15.721 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.721 * [taylor]: Taking taylor expansion of N in N 15.721 * [backup-simplify]: Simplify 0 into 0 15.721 * [backup-simplify]: Simplify 1 into 1 15.721 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 15.722 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 15.722 * [taylor]: Taking taylor expansion of 1.0 in N 15.722 * [backup-simplify]: Simplify 1.0 into 1.0 15.722 * [taylor]: Taking taylor expansion of N in N 15.722 * [backup-simplify]: Simplify 0 into 0 15.722 * [backup-simplify]: Simplify 1 into 1 15.722 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 15.722 * [taylor]: Taking taylor expansion of 0.5 in N 15.722 * [backup-simplify]: Simplify 0.5 into 0.5 15.722 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.722 * [taylor]: Taking taylor expansion of N in N 15.722 * [backup-simplify]: Simplify 0 into 0 15.722 * [backup-simplify]: Simplify 1 into 1 15.723 * [backup-simplify]: Simplify (* 1.0 0) into 0 15.723 * [backup-simplify]: Simplify (+ 0 0) into 0 15.723 * [backup-simplify]: Simplify 0 into 0 15.740 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 15.741 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.741 * [backup-simplify]: Simplify 1.0 into 1.0 15.742 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 15.742 * [backup-simplify]: Simplify (* 1 1) into 1 15.743 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.743 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.744 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 15.744 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.745 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.747 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 15.747 * [backup-simplify]: Simplify (- 0) into 0 15.748 * [backup-simplify]: Simplify (+ 0 0) into 0 15.748 * [backup-simplify]: Simplify 0 into 0 15.749 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.751 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 15.751 * [backup-simplify]: Simplify (- 0) into 0 15.752 * [backup-simplify]: Simplify (+ 0 0) into 0 15.752 * [backup-simplify]: Simplify 0 into 0 15.753 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 15.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.756 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.756 * [backup-simplify]: Simplify (- 0) into 0 15.756 * [backup-simplify]: Simplify (+ 0 0) into 0 15.757 * [backup-simplify]: Simplify 0 into 0 15.766 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 15.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.774 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.776 * [backup-simplify]: Simplify (- 0) into 0 15.776 * [backup-simplify]: Simplify (+ 0 0) into 0 15.776 * [backup-simplify]: Simplify 0 into 0 15.783 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 15.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.790 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.790 * [backup-simplify]: Simplify (- 0) into 0 15.791 * [backup-simplify]: Simplify (+ 0 0) into 0 15.791 * [backup-simplify]: Simplify 0 into 0 15.793 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 15.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.806 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.806 * [backup-simplify]: Simplify (- 0) into 0 15.807 * [backup-simplify]: Simplify (+ 0 0) into 0 15.807 * [backup-simplify]: Simplify 0 into 0 15.808 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 15.808 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) 15.808 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in (N) around 0 15.808 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 15.809 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 15.809 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 15.809 * [taylor]: Taking taylor expansion of 0.5 in N 15.809 * [backup-simplify]: Simplify 0.5 into 0.5 15.809 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.809 * [taylor]: Taking taylor expansion of N in N 15.809 * [backup-simplify]: Simplify 0 into 0 15.809 * [backup-simplify]: Simplify 1 into 1 15.809 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 15.809 * [taylor]: Taking taylor expansion of 1.0 in N 15.809 * [backup-simplify]: Simplify 1.0 into 1.0 15.809 * [taylor]: Taking taylor expansion of N in N 15.809 * [backup-simplify]: Simplify 0 into 0 15.809 * [backup-simplify]: Simplify 1 into 1 15.809 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 15.809 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 15.809 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 15.809 * [taylor]: Taking taylor expansion of 0.5 in N 15.809 * [backup-simplify]: Simplify 0.5 into 0.5 15.809 * [taylor]: Taking taylor expansion of (pow N 2) in N 15.809 * [taylor]: Taking taylor expansion of N in N 15.809 * [backup-simplify]: Simplify 0 into 0 15.809 * [backup-simplify]: Simplify 1 into 1 15.809 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 15.809 * [taylor]: Taking taylor expansion of 1.0 in N 15.809 * [backup-simplify]: Simplify 1.0 into 1.0 15.809 * [taylor]: Taking taylor expansion of N in N 15.809 * [backup-simplify]: Simplify 0 into 0 15.809 * [backup-simplify]: Simplify 1 into 1 15.810 * [backup-simplify]: Simplify (* 1.0 0) into 0 15.811 * [backup-simplify]: Simplify (+ 0 0) into 0 15.811 * [backup-simplify]: Simplify (- 0) into 0 15.812 * [backup-simplify]: Simplify 0 into 0 15.813 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 15.813 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 15.814 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 15.814 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 15.815 * [backup-simplify]: Simplify (* 1 1) into 1 15.815 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.816 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 15.817 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 15.817 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.817 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 15.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.819 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 15.822 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.822 * [backup-simplify]: Simplify (+ 0 0) into 0 15.823 * [backup-simplify]: Simplify (- 0) into 0 15.823 * [backup-simplify]: Simplify 0 into 0 15.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.825 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 15.832 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.833 * [backup-simplify]: Simplify (+ 0 0) into 0 15.833 * [backup-simplify]: Simplify (- 0) into 0 15.833 * [backup-simplify]: Simplify 0 into 0 15.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.900 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.901 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 15.903 * [backup-simplify]: Simplify (+ 0 0) into 0 15.903 * [backup-simplify]: Simplify (- 0) into 0 15.903 * [backup-simplify]: Simplify 0 into 0 15.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.912 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.914 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 15.914 * [backup-simplify]: Simplify (+ 0 0) into 0 15.915 * [backup-simplify]: Simplify (- 0) into 0 15.915 * [backup-simplify]: Simplify 0 into 0 15.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.917 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.919 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 15.920 * [backup-simplify]: Simplify (+ 0 0) into 0 15.920 * [backup-simplify]: Simplify (- 0) into 0 15.920 * [backup-simplify]: Simplify 0 into 0 15.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.924 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.926 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 15.927 * [backup-simplify]: Simplify (+ 0 0) into 0 15.928 * [backup-simplify]: Simplify (- 0) into 0 15.928 * [backup-simplify]: Simplify 0 into 0 15.931 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 15.947 * * * [progress]: simplifying candidates 15.993 * [simplify]: Simplifying: (* (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))) (exp (/ (/ 0.3333333333333333 N) (* N N)))) (* (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (/ (/ 0.3333333333333333 N) (* N N)))) (log (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (* (* (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (* (- (* 1.0 (* N N)) (* N 0.5)) (* N N)) (* (* N (* N N)) (/ 0.3333333333333333 N))) (* (* N (* N N)) (* N N)) (+ (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (* N N)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (/ 0.3333333333333333 N))) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (* N N)) (+ (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (* N N)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 N))) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (* N N)) (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ (/ 0.3333333333333333 N) (* N N)) 3)) (+ (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (- (log 0.3333333333333333) (log N)) (+ (log N) (log N))) (- (- (log 0.3333333333333333) (log N)) (log (* N N))) (- (log (/ 0.3333333333333333 N)) (+ (log N) (log N))) (- (log (/ 0.3333333333333333 N)) (log (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) N) (* (* N N) N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) (* N N)) (* N N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) N) (* (* N N) N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.3333333333333333 N)) (- (* N N)) (/ (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) N) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) N) (/ (/ (cbrt 0.3333333333333333) (sqrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) N) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) N) (/ (/ (sqrt 0.3333333333333333) (cbrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) 1) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 0.3333333333333333 (sqrt N)) N) (/ (/ 1 1) N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ 1 (* N N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ (* N N) (sqrt (/ 0.3333333333333333 N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) N)) (/ (* N N) (/ (sqrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) N)) (/ (* N N) (/ 0.3333333333333333 (cbrt N))) (/ (* N N) (/ 0.3333333333333333 (sqrt N))) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 1 N)) (* (* N N) N) (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* 1.0 (* N N)) (* N 0.5)) (* N (* N N)) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (- (/ 0.5 (* N N))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 16.008 * * [simplify]: iteration 0: 210 enodes 16.215 * * [simplify]: iteration 1: 538 enodes 17.285 * * [simplify]: iteration 2: 1862 enodes 20.334 * * [simplify]: iteration complete: 5000 enodes 20.340 * * [simplify]: Extracting #0: cost 98 inf + 0 20.347 * * [simplify]: Extracting #1: cost 905 inf + 0 20.394 * * [simplify]: Extracting #2: cost 1766 inf + 5751 20.435 * * [simplify]: Extracting #3: cost 1538 inf + 95175 20.856 * * [simplify]: Extracting #4: cost 552 inf + 325265 21.283 * * [simplify]: Extracting #5: cost 36 inf + 478723 21.581 * * [simplify]: Extracting #6: cost 1 inf + 490393 21.926 * * [simplify]: Extracting #7: cost 0 inf + 490687 22.214 * [simplify]: Simplified to: (exp (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ (/ (/ 0.3333333333333333 N) N) N))) (exp (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ (/ (/ 0.3333333333333333 N) N) N))) (log (+ (/ 1.0 N) (- (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ 0.5 N) N)))) (exp (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ (/ (/ 0.3333333333333333 N) N) N))) (* (cbrt (+ (/ 1.0 N) (- (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ 0.5 N) N)))) (cbrt (+ (/ 1.0 N) (- (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ 0.5 N) N))))) (cbrt (+ (/ 1.0 N) (- (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ 0.5 N) N)))) (* (+ (/ 1.0 N) (- (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ 0.5 N) N))) (* (+ (/ 1.0 N) (- (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ 0.5 N) N))))) (sqrt (+ (/ 1.0 N) (- (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ 0.5 N) N)))) (sqrt (+ (/ 1.0 N) (- (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ 0.5 N) N)))) (+ (* (* (/ 0.3333333333333333 N) N) (* N N)) (* (* N (- (* N 1.0) 0.5)) (* N N))) (* N (* (* N N) (* N N))) (+ (/ (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ (/ 0.5 N) N) (+ (/ (/ 0.5 N) N) (/ 1.0 N)))) (/ N 0.3333333333333333)) (* (- (* (* (/ 1.0 N) (/ 1.0 N)) (/ 1.0 N)) (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N))) (* N N))) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ (/ 0.5 N) N) (+ (/ (/ 0.5 N) N) (/ 1.0 N)))) (* N N)) (+ (* (* (* N N) (+ (/ 1.0 N) (/ (/ 0.5 N) N))) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (* (/ 0.3333333333333333 N) (+ (/ 1.0 N) (/ (/ 0.5 N) N)))) (* (* (+ (/ 1.0 N) (/ (/ 0.5 N) N)) N) N) (+ (* (/ (/ (/ 0.3333333333333333 N) N) N) (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N))) (* (- (/ 1.0 N) (/ (/ 0.5 N) N)) (* (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N))))) (+ (* (/ (/ (/ 0.3333333333333333 N) N) N) (- (/ (/ (/ 0.3333333333333333 N) N) N) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (* (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (- (* (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N))) (- (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (+ (/ 1.0 N) (- (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ 0.5 N) N))) (- (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ 0.5 N) N)) (- (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ 0.5 N) N)) (- (/ (/ 0.5 N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (log (/ (/ 0.5 N) N)) (log (/ (/ 0.5 N) N)) (log (/ (/ 0.5 N) N)) (exp (/ (/ 0.5 N) N)) (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (* (cbrt (/ (/ 0.5 N) N)) (cbrt (/ (/ 0.5 N) N))) (cbrt (/ (/ 0.5 N) N)) (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.5 N) N)) (- 0.5) (* (- N) N) (* (/ (cbrt 0.5) N) (cbrt 0.5)) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ (/ 1 N) N) (/ N (/ 0.5 N)) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ N (/ 0.5 N)) (log (/ (/ (/ 0.3333333333333333 N) N) N)) (log (/ (/ (/ 0.3333333333333333 N) N) N)) (log (/ (/ (/ 0.3333333333333333 N) N) N)) (log (/ (/ (/ 0.3333333333333333 N) N) N)) (log (/ (/ (/ 0.3333333333333333 N) N) N)) (exp (/ (/ (/ 0.3333333333333333 N) N) N)) (* (/ (/ (/ 0.3333333333333333 N) N) N) (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N))) (* (/ (/ (/ 0.3333333333333333 N) N) N) (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N))) (* (/ (/ (/ 0.3333333333333333 N) N) N) (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N))) (* (/ (/ (/ 0.3333333333333333 N) N) N) (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N))) (* (cbrt (/ (/ (/ 0.3333333333333333 N) N) N)) (cbrt (/ (/ (/ 0.3333333333333333 N) N) N))) (cbrt (/ (/ (/ 0.3333333333333333 N) N) N)) (* (/ (/ (/ 0.3333333333333333 N) N) N) (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N))) (sqrt (/ (/ (/ 0.3333333333333333 N) N) N)) (sqrt (/ (/ (/ 0.3333333333333333 N) N) N)) (- (/ 0.3333333333333333 N)) (* (- N) N) (* (/ (cbrt (/ 0.3333333333333333 N)) N) (cbrt (/ 0.3333333333333333 N))) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) (/ N (/ (cbrt 0.3333333333333333) (cbrt N)))) (/ (/ (cbrt 0.3333333333333333) N) (cbrt N)) (/ (* (/ (cbrt 0.3333333333333333) (sqrt N)) (cbrt 0.3333333333333333)) N) (/ (/ (cbrt 0.3333333333333333) N) (sqrt N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (sqrt 0.3333333333333333) (* (* (cbrt N) (cbrt N)) N)) (/ (/ (sqrt 0.3333333333333333) N) (cbrt N)) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N)) (/ (/ (sqrt 0.3333333333333333) N) (sqrt N)) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ (/ 1 N) (sqrt N)) (/ (/ 0.3333333333333333 (sqrt N)) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ N (/ (/ 0.3333333333333333 N) N)) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ (* N N) (sqrt (/ 0.3333333333333333 N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ N (/ (/ (cbrt 0.3333333333333333) N) (sqrt N))) (/ N (/ (/ (cbrt 0.3333333333333333) N) N)) (/ N (/ (/ (sqrt 0.3333333333333333) N) (cbrt N))) (/ N (/ (/ (sqrt 0.3333333333333333) N) (sqrt N))) (/ (* N (* N N)) (sqrt 0.3333333333333333)) (/ N (/ (/ 0.3333333333333333 (cbrt N)) N)) (* (/ N (/ 0.3333333333333333 N)) (sqrt N)) (/ N (/ (/ 0.3333333333333333 N) N)) (/ N (/ (/ 0.3333333333333333 N) N)) (* N (* N N)) (* N (* N N)) (exp (- (/ 1.0 N) (/ (/ 0.5 N) N))) (log (- (/ 1.0 N) (/ (/ 0.5 N) N))) (exp (- (/ 1.0 N) (/ (/ 0.5 N) N))) (* (cbrt (- (/ 1.0 N) (/ (/ 0.5 N) N))) (cbrt (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (cbrt (- (/ 1.0 N) (/ (/ 0.5 N) N))) (* (- (/ 1.0 N) (/ (/ 0.5 N) N)) (* (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (sqrt (- (/ 1.0 N) (/ (/ 0.5 N) N))) (sqrt (- (/ 1.0 N) (/ (/ 0.5 N) N))) (* N (- (* N 1.0) 0.5)) (* N (* N N)) (- (* (* (/ 1.0 N) (/ 1.0 N)) (/ 1.0 N)) (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N))) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ (/ 0.5 N) N) (+ (/ (/ 0.5 N) N) (/ 1.0 N)))) (/ (- 0.5) (* N N)) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (/ (/ 0.5 N) N)) (+ (sqrt (/ 1.0 N)) (sqrt (/ (/ 0.5 N) N))) (- (sqrt (/ 1.0 N)) (sqrt (/ (/ 0.5 N) N))) (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ (/ 0.5 N) N))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ (/ 0.5 N) N))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ (- 0.5) (* N N)) (+ (/ 1.0 N) (- (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ 0.5 N) N))) (/ (/ 0.5 N) N) (/ (/ 0.5 N) N) (/ (/ 0.5 N) N) (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) 22.274 * * * [progress]: adding candidates to table 23.485 * * [progress]: iteration 3 / 4 23.486 * * * [progress]: picking best candidate 23.543 * * * * [pick]: Picked # 23.543 * * * [progress]: localizing error 23.567 * * * [progress]: generating rewritten candidates 23.567 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 23.582 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 23.634 * * * [progress]: generating series expansions 23.634 * * * * [progress]: [ 1 / 2 ] generating series at (2) 23.634 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 23.634 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 23.635 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 23.635 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 23.635 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 23.635 * [taylor]: Taking taylor expansion of N in N 23.635 * [backup-simplify]: Simplify 0 into 0 23.635 * [backup-simplify]: Simplify 1 into 1 23.635 * [taylor]: Taking taylor expansion of 1.0 in N 23.635 * [backup-simplify]: Simplify 1.0 into 1.0 23.635 * [taylor]: Taking taylor expansion of N in N 23.635 * [backup-simplify]: Simplify 0 into 0 23.635 * [backup-simplify]: Simplify 1 into 1 23.636 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 23.636 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 23.637 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 23.637 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 23.637 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 23.637 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 23.637 * [taylor]: Taking taylor expansion of N in N 23.637 * [backup-simplify]: Simplify 0 into 0 23.637 * [backup-simplify]: Simplify 1 into 1 23.637 * [taylor]: Taking taylor expansion of 1.0 in N 23.637 * [backup-simplify]: Simplify 1.0 into 1.0 23.637 * [taylor]: Taking taylor expansion of N in N 23.637 * [backup-simplify]: Simplify 0 into 0 23.637 * [backup-simplify]: Simplify 1 into 1 23.637 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 23.638 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 23.638 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 23.639 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 23.640 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 23.640 * [backup-simplify]: Simplify (+ 1 0) into 1 23.641 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 23.648 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 23.648 * [backup-simplify]: Simplify 1.0 into 1.0 23.648 * [backup-simplify]: Simplify (+ 0 0) into 0 23.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 23.661 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 23.663 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 23.665 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 23.666 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 23.666 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 23.666 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 23.666 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 23.666 * [taylor]: Taking taylor expansion of N in N 23.666 * [backup-simplify]: Simplify 0 into 0 23.666 * [backup-simplify]: Simplify 1 into 1 23.666 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 23.666 * [taylor]: Taking taylor expansion of (/ 1 N) in N 23.666 * [taylor]: Taking taylor expansion of N in N 23.666 * [backup-simplify]: Simplify 0 into 0 23.666 * [backup-simplify]: Simplify 1 into 1 23.666 * [backup-simplify]: Simplify (/ 1 1) into 1 23.666 * [taylor]: Taking taylor expansion of 1.0 in N 23.666 * [backup-simplify]: Simplify 1.0 into 1.0 23.667 * [backup-simplify]: Simplify (+ 1 0) into 1 23.667 * [backup-simplify]: Simplify (* 0 1) into 0 23.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.669 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 23.669 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 23.670 * [backup-simplify]: Simplify (log 1) into 0 23.670 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 23.670 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 23.670 * [taylor]: Taking taylor expansion of N in N 23.670 * [backup-simplify]: Simplify 0 into 0 23.670 * [backup-simplify]: Simplify 1 into 1 23.670 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 23.670 * [taylor]: Taking taylor expansion of (/ 1 N) in N 23.670 * [taylor]: Taking taylor expansion of N in N 23.670 * [backup-simplify]: Simplify 0 into 0 23.670 * [backup-simplify]: Simplify 1 into 1 23.670 * [backup-simplify]: Simplify (/ 1 1) into 1 23.670 * [taylor]: Taking taylor expansion of 1.0 in N 23.670 * [backup-simplify]: Simplify 1.0 into 1.0 23.671 * [backup-simplify]: Simplify (+ 1 0) into 1 23.671 * [backup-simplify]: Simplify (* 0 1) into 0 23.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.673 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 23.673 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 23.674 * [backup-simplify]: Simplify (log 1) into 0 23.674 * [backup-simplify]: Simplify 0 into 0 23.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.675 * [backup-simplify]: Simplify (+ 0 0) into 0 23.678 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 23.685 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 23.685 * [backup-simplify]: Simplify 1.0 into 1.0 23.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.687 * [backup-simplify]: Simplify (+ 0 0) into 0 23.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 23.809 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 23.810 * [backup-simplify]: Simplify -0.5 into -0.5 23.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.813 * [backup-simplify]: Simplify (+ 0 0) into 0 23.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 23.833 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 23.834 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 23.834 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 23.836 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 23.837 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 23.837 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 23.837 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 23.837 * [taylor]: Taking taylor expansion of -1 in N 23.837 * [backup-simplify]: Simplify -1 into -1 23.837 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 23.837 * [taylor]: Taking taylor expansion of N in N 23.837 * [backup-simplify]: Simplify 0 into 0 23.837 * [backup-simplify]: Simplify 1 into 1 23.837 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 23.837 * [taylor]: Taking taylor expansion of 1.0 in N 23.837 * [backup-simplify]: Simplify 1.0 into 1.0 23.837 * [taylor]: Taking taylor expansion of (/ 1 N) in N 23.837 * [taylor]: Taking taylor expansion of N in N 23.837 * [backup-simplify]: Simplify 0 into 0 23.837 * [backup-simplify]: Simplify 1 into 1 23.837 * [backup-simplify]: Simplify (/ 1 1) into 1 23.838 * [backup-simplify]: Simplify (- 1) into -1 23.838 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.838 * [backup-simplify]: Simplify (* 0 -1) into 0 23.839 * [backup-simplify]: Simplify (* -1 0) into 0 23.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.840 * [backup-simplify]: Simplify (- 0) into 0 23.840 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 23.841 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 23.842 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 23.842 * [backup-simplify]: Simplify (log 1) into 0 23.842 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 23.842 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 23.842 * [taylor]: Taking taylor expansion of -1 in N 23.842 * [backup-simplify]: Simplify -1 into -1 23.842 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 23.843 * [taylor]: Taking taylor expansion of N in N 23.843 * [backup-simplify]: Simplify 0 into 0 23.843 * [backup-simplify]: Simplify 1 into 1 23.843 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 23.843 * [taylor]: Taking taylor expansion of 1.0 in N 23.843 * [backup-simplify]: Simplify 1.0 into 1.0 23.843 * [taylor]: Taking taylor expansion of (/ 1 N) in N 23.843 * [taylor]: Taking taylor expansion of N in N 23.843 * [backup-simplify]: Simplify 0 into 0 23.843 * [backup-simplify]: Simplify 1 into 1 23.843 * [backup-simplify]: Simplify (/ 1 1) into 1 23.844 * [backup-simplify]: Simplify (- 1) into -1 23.844 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.844 * [backup-simplify]: Simplify (* 0 -1) into 0 23.845 * [backup-simplify]: Simplify (* -1 0) into 0 23.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.846 * [backup-simplify]: Simplify (- 0) into 0 23.847 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 23.848 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 23.848 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 23.849 * [backup-simplify]: Simplify (log 1) into 0 23.849 * [backup-simplify]: Simplify 0 into 0 23.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.853 * [backup-simplify]: Simplify (- 0) into 0 23.854 * [backup-simplify]: Simplify (+ 0 0) into 0 23.856 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 23.858 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 23.865 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 23.866 * [backup-simplify]: Simplify -1.0 into -1.0 23.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.867 * [backup-simplify]: Simplify (- 0) into 0 23.867 * [backup-simplify]: Simplify (+ 0 0) into 0 23.868 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 23.869 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 23.880 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 23.880 * [backup-simplify]: Simplify -0.5 into -0.5 23.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.881 * [backup-simplify]: Simplify (- 0) into 0 23.882 * [backup-simplify]: Simplify (+ 0 0) into 0 23.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 23.884 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 23.902 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 23.902 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 23.902 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 23.902 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 23.903 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 23.903 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 23.903 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 23.903 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 23.903 * [taylor]: Taking taylor expansion of N in N 23.903 * [backup-simplify]: Simplify 0 into 0 23.903 * [backup-simplify]: Simplify 1 into 1 23.903 * [taylor]: Taking taylor expansion of 1.0 in N 23.903 * [backup-simplify]: Simplify 1.0 into 1.0 23.903 * [taylor]: Taking taylor expansion of N in N 23.903 * [backup-simplify]: Simplify 0 into 0 23.903 * [backup-simplify]: Simplify 1 into 1 23.903 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 23.904 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 23.904 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 23.904 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 23.904 * [taylor]: Taking taylor expansion of N in N 23.904 * [backup-simplify]: Simplify 0 into 0 23.904 * [backup-simplify]: Simplify 1 into 1 23.904 * [taylor]: Taking taylor expansion of 1.0 in N 23.904 * [backup-simplify]: Simplify 1.0 into 1.0 23.904 * [taylor]: Taking taylor expansion of N in N 23.904 * [backup-simplify]: Simplify 0 into 0 23.904 * [backup-simplify]: Simplify 1 into 1 23.904 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 23.905 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 23.905 * [backup-simplify]: Simplify 1.0 into 1.0 23.905 * [backup-simplify]: Simplify (+ 1 0) into 1 23.906 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 23.906 * [backup-simplify]: Simplify 1 into 1 23.907 * [backup-simplify]: Simplify (+ 0 0) into 0 23.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 23.908 * [backup-simplify]: Simplify 0 into 0 23.908 * [backup-simplify]: Simplify (+ 0 0) into 0 23.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.909 * [backup-simplify]: Simplify 0 into 0 23.909 * [backup-simplify]: Simplify (+ 0 0) into 0 23.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.919 * [backup-simplify]: Simplify 0 into 0 23.919 * [backup-simplify]: Simplify (+ 0 0) into 0 23.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.920 * [backup-simplify]: Simplify 0 into 0 23.921 * [backup-simplify]: Simplify (+ 0 0) into 0 23.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.922 * [backup-simplify]: Simplify 0 into 0 23.922 * [backup-simplify]: Simplify (+ 0 0) into 0 23.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.923 * [backup-simplify]: Simplify 0 into 0 23.924 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 23.924 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 23.924 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 23.924 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 23.924 * [taylor]: Taking taylor expansion of N in N 23.924 * [backup-simplify]: Simplify 0 into 0 23.924 * [backup-simplify]: Simplify 1 into 1 23.924 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 23.924 * [taylor]: Taking taylor expansion of (/ 1 N) in N 23.924 * [taylor]: Taking taylor expansion of N in N 23.924 * [backup-simplify]: Simplify 0 into 0 23.924 * [backup-simplify]: Simplify 1 into 1 23.925 * [backup-simplify]: Simplify (/ 1 1) into 1 23.925 * [taylor]: Taking taylor expansion of 1.0 in N 23.925 * [backup-simplify]: Simplify 1.0 into 1.0 23.925 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 23.925 * [taylor]: Taking taylor expansion of N in N 23.925 * [backup-simplify]: Simplify 0 into 0 23.925 * [backup-simplify]: Simplify 1 into 1 23.925 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 23.925 * [taylor]: Taking taylor expansion of (/ 1 N) in N 23.925 * [taylor]: Taking taylor expansion of N in N 23.925 * [backup-simplify]: Simplify 0 into 0 23.925 * [backup-simplify]: Simplify 1 into 1 23.925 * [backup-simplify]: Simplify (/ 1 1) into 1 23.925 * [taylor]: Taking taylor expansion of 1.0 in N 23.925 * [backup-simplify]: Simplify 1.0 into 1.0 23.934 * [backup-simplify]: Simplify (+ 1 0) into 1 23.935 * [backup-simplify]: Simplify (* 0 1) into 0 23.935 * [backup-simplify]: Simplify 0 into 0 23.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.936 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 23.937 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 23.937 * [backup-simplify]: Simplify 1 into 1 23.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.938 * [backup-simplify]: Simplify (+ 0 0) into 0 23.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 23.941 * [backup-simplify]: Simplify 1.0 into 1.0 23.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.944 * [backup-simplify]: Simplify (+ 0 0) into 0 23.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 23.945 * [backup-simplify]: Simplify 0 into 0 23.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.946 * [backup-simplify]: Simplify (+ 0 0) into 0 23.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 23.948 * [backup-simplify]: Simplify 0 into 0 23.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.950 * [backup-simplify]: Simplify (+ 0 0) into 0 23.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 23.952 * [backup-simplify]: Simplify 0 into 0 23.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.954 * [backup-simplify]: Simplify (+ 0 0) into 0 23.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 23.956 * [backup-simplify]: Simplify 0 into 0 23.957 * [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 23.957 * [backup-simplify]: Simplify (+ 0 0) into 0 23.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 23.959 * [backup-simplify]: Simplify 0 into 0 23.960 * [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 23.961 * [backup-simplify]: Simplify (+ 0 0) into 0 23.964 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 23.964 * [backup-simplify]: Simplify 0 into 0 23.964 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 23.964 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 23.965 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 23.965 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 23.965 * [taylor]: Taking taylor expansion of -1 in N 23.965 * [backup-simplify]: Simplify -1 into -1 23.965 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 23.965 * [taylor]: Taking taylor expansion of N in N 23.965 * [backup-simplify]: Simplify 0 into 0 23.965 * [backup-simplify]: Simplify 1 into 1 23.965 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 23.965 * [taylor]: Taking taylor expansion of 1.0 in N 23.965 * [backup-simplify]: Simplify 1.0 into 1.0 23.965 * [taylor]: Taking taylor expansion of (/ 1 N) in N 23.965 * [taylor]: Taking taylor expansion of N in N 23.965 * [backup-simplify]: Simplify 0 into 0 23.965 * [backup-simplify]: Simplify 1 into 1 23.966 * [backup-simplify]: Simplify (/ 1 1) into 1 23.966 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 23.966 * [taylor]: Taking taylor expansion of -1 in N 23.966 * [backup-simplify]: Simplify -1 into -1 23.966 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 23.966 * [taylor]: Taking taylor expansion of N in N 23.966 * [backup-simplify]: Simplify 0 into 0 23.966 * [backup-simplify]: Simplify 1 into 1 23.966 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 23.966 * [taylor]: Taking taylor expansion of 1.0 in N 23.966 * [backup-simplify]: Simplify 1.0 into 1.0 23.966 * [taylor]: Taking taylor expansion of (/ 1 N) in N 23.966 * [taylor]: Taking taylor expansion of N in N 23.966 * [backup-simplify]: Simplify 0 into 0 23.966 * [backup-simplify]: Simplify 1 into 1 23.967 * [backup-simplify]: Simplify (/ 1 1) into 1 23.967 * [backup-simplify]: Simplify (- 1) into -1 23.967 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.968 * [backup-simplify]: Simplify (* 0 -1) into 0 23.969 * [backup-simplify]: Simplify (* -1 0) into 0 23.969 * [backup-simplify]: Simplify 0 into 0 23.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.971 * [backup-simplify]: Simplify (- 0) into 0 24.185 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 24.197 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 24.197 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 24.197 * [backup-simplify]: Simplify 1 into 1 24.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.201 * [backup-simplify]: Simplify (- 0) into 0 24.202 * [backup-simplify]: Simplify (+ 0 0) into 0 24.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 24.208 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 24.208 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 24.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.214 * [backup-simplify]: Simplify (- 0) into 0 24.214 * [backup-simplify]: Simplify (+ 0 0) into 0 24.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 24.217 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 24.217 * [backup-simplify]: Simplify 0 into 0 24.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.220 * [backup-simplify]: Simplify (- 0) into 0 24.221 * [backup-simplify]: Simplify (+ 0 0) into 0 24.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 24.224 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 24.224 * [backup-simplify]: Simplify 0 into 0 24.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.226 * [backup-simplify]: Simplify (- 0) into 0 24.227 * [backup-simplify]: Simplify (+ 0 0) into 0 24.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 24.231 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 24.231 * [backup-simplify]: Simplify 0 into 0 24.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.232 * [backup-simplify]: Simplify (- 0) into 0 24.233 * [backup-simplify]: Simplify (+ 0 0) into 0 24.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 24.237 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 24.237 * [backup-simplify]: Simplify 0 into 0 24.239 * [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 24.240 * [backup-simplify]: Simplify (- 0) into 0 24.240 * [backup-simplify]: Simplify (+ 0 0) into 0 24.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 24.246 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 24.246 * [backup-simplify]: Simplify 0 into 0 24.247 * [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 24.248 * [backup-simplify]: Simplify (- 0) into 0 24.248 * [backup-simplify]: Simplify (+ 0 0) into 0 24.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 24.254 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 24.254 * [backup-simplify]: Simplify 0 into 0 24.255 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 24.255 * * * [progress]: simplifying candidates 24.257 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 24.260 * * [simplify]: iteration 0: 108 enodes 24.318 * * [simplify]: iteration 1: 243 enodes 24.526 * * [simplify]: iteration 2: 617 enodes 26.902 * * [simplify]: iteration 3: 2332 enodes 30.455 * * [simplify]: iteration complete: 5001 enodes 30.455 * * [simplify]: Extracting #0: cost 63 inf + 0 30.458 * * [simplify]: Extracting #1: cost 616 inf + 2 30.467 * * [simplify]: Extracting #2: cost 1521 inf + 7817 30.500 * * [simplify]: Extracting #3: cost 1081 inf + 105552 30.772 * * [simplify]: Extracting #4: cost 244 inf + 259504 30.880 * * [simplify]: Extracting #5: cost 10 inf + 320575 31.256 * * [simplify]: Extracting #6: cost 0 inf + 322987 31.431 * [simplify]: Simplified to: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (* (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (* (/ (cbrt (+ N 1.0)) (sqrt N)) (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (- (+ (log (cbrt N)) (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (+ (log (cbrt N)) (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (log (/ (+ N 1.0) N)) (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (* (/ (+ N 1.0) N) (* (/ (+ N 1.0) N) (/ (+ N 1.0) N))) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (/ (+ N 1.0) N) (* (/ (+ N 1.0) N) (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (- 1.0) N) (- N) (* (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (cbrt (+ N 1.0)) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (* (/ (cbrt (+ N 1.0)) (sqrt N)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (/ (+ N 1.0) (cbrt N)) (cbrt N)) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* (- 1.0 N) 1.0) (* N N))) (* N (- N 1.0)) (+ (+ (log 1.0) (- (* 1.0 N) (log N))) (* -1/2 (* (/ N 1.0) (/ N 1.0)))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (* (* N N) N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (* (* N N) N))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 31.451 * * * [progress]: adding candidates to table 32.144 * * [progress]: iteration 4 / 4 32.144 * * * [progress]: picking best candidate 32.158 * * * * [pick]: Picked # 32.158 * * * [progress]: localizing error 32.204 * * * [progress]: generating rewritten candidates 32.204 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 32.213 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 32.222 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 32.463 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 32.578 * * * [progress]: generating series expansions 32.582 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 32.602 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 32.602 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 32.602 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 32.610 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 32.614 * [taylor]: Taking taylor expansion of N in N 32.614 * [backup-simplify]: Simplify 0 into 0 32.614 * [backup-simplify]: Simplify 1 into 1 32.614 * [taylor]: Taking taylor expansion of 1.0 in N 32.614 * [backup-simplify]: Simplify 1.0 into 1.0 32.619 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 32.619 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 32.619 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 32.620 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 32.620 * [taylor]: Taking taylor expansion of N in N 32.620 * [backup-simplify]: Simplify 0 into 0 32.620 * [backup-simplify]: Simplify 1 into 1 32.620 * [taylor]: Taking taylor expansion of 1.0 in N 32.620 * [backup-simplify]: Simplify 1.0 into 1.0 32.620 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 32.621 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 32.622 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 32.623 * [backup-simplify]: Simplify (+ 1 0) into 1 32.637 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 32.637 * [backup-simplify]: Simplify 1.0 into 1.0 32.638 * [backup-simplify]: Simplify (+ 0 0) into 0 32.651 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 32.654 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 32.657 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 32.657 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 32.657 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 32.657 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 32.657 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 32.657 * [taylor]: Taking taylor expansion of (/ 1 N) in N 32.657 * [taylor]: Taking taylor expansion of N in N 32.657 * [backup-simplify]: Simplify 0 into 0 32.657 * [backup-simplify]: Simplify 1 into 1 32.657 * [backup-simplify]: Simplify (/ 1 1) into 1 32.657 * [taylor]: Taking taylor expansion of 1.0 in N 32.657 * [backup-simplify]: Simplify 1.0 into 1.0 32.658 * [backup-simplify]: Simplify (+ 1 0) into 1 32.658 * [backup-simplify]: Simplify (log 1) into 0 32.658 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 32.658 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 32.658 * [taylor]: Taking taylor expansion of (/ 1 N) in N 32.658 * [taylor]: Taking taylor expansion of N in N 32.658 * [backup-simplify]: Simplify 0 into 0 32.659 * [backup-simplify]: Simplify 1 into 1 32.659 * [backup-simplify]: Simplify (/ 1 1) into 1 32.659 * [taylor]: Taking taylor expansion of 1.0 in N 32.659 * [backup-simplify]: Simplify 1.0 into 1.0 32.660 * [backup-simplify]: Simplify (+ 1 0) into 1 32.660 * [backup-simplify]: Simplify (log 1) into 0 32.661 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 32.661 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 32.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.662 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 32.680 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 32.681 * [backup-simplify]: Simplify 1.0 into 1.0 32.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.690 * [backup-simplify]: Simplify (+ 0 0) into 0 32.711 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 32.711 * [backup-simplify]: Simplify -0.5 into -0.5 32.711 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 32.711 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 32.711 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 32.711 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 32.712 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 32.712 * [taylor]: Taking taylor expansion of 1.0 in N 32.712 * [backup-simplify]: Simplify 1.0 into 1.0 32.712 * [taylor]: Taking taylor expansion of (/ 1 N) in N 32.712 * [taylor]: Taking taylor expansion of N in N 32.718 * [backup-simplify]: Simplify 0 into 0 32.718 * [backup-simplify]: Simplify 1 into 1 32.718 * [backup-simplify]: Simplify (/ 1 1) into 1 32.719 * [backup-simplify]: Simplify (- 1) into -1 32.719 * [backup-simplify]: Simplify (+ 0 -1) into -1 32.720 * [backup-simplify]: Simplify (log -1) into (log -1) 32.720 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 32.720 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 32.720 * [taylor]: Taking taylor expansion of 1.0 in N 32.720 * [backup-simplify]: Simplify 1.0 into 1.0 32.720 * [taylor]: Taking taylor expansion of (/ 1 N) in N 32.720 * [taylor]: Taking taylor expansion of N in N 32.720 * [backup-simplify]: Simplify 0 into 0 32.720 * [backup-simplify]: Simplify 1 into 1 32.720 * [backup-simplify]: Simplify (/ 1 1) into 1 32.721 * [backup-simplify]: Simplify (- 1) into -1 32.721 * [backup-simplify]: Simplify (+ 0 -1) into -1 32.721 * [backup-simplify]: Simplify (log -1) into (log -1) 32.722 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 32.723 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 32.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.724 * [backup-simplify]: Simplify (- 0) into 0 32.725 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 32.749 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 32.749 * [backup-simplify]: Simplify -1.0 into -1.0 32.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.751 * [backup-simplify]: Simplify (- 0) into 0 32.752 * [backup-simplify]: Simplify (+ 0 0) into 0 32.785 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 32.786 * [backup-simplify]: Simplify -0.5 into -0.5 32.787 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 32.787 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 32.787 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 32.787 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 32.788 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 32.788 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 32.788 * [taylor]: Taking taylor expansion of N in N 32.788 * [backup-simplify]: Simplify 0 into 0 32.788 * [backup-simplify]: Simplify 1 into 1 32.788 * [taylor]: Taking taylor expansion of 1.0 in N 32.788 * [backup-simplify]: Simplify 1.0 into 1.0 32.788 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 32.789 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 32.789 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 32.789 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 32.789 * [taylor]: Taking taylor expansion of N in N 32.789 * [backup-simplify]: Simplify 0 into 0 32.789 * [backup-simplify]: Simplify 1 into 1 32.789 * [taylor]: Taking taylor expansion of 1.0 in N 32.789 * [backup-simplify]: Simplify 1.0 into 1.0 32.790 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 32.790 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 32.791 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 32.791 * [backup-simplify]: Simplify (+ 1 0) into 1 32.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 32.799 * [backup-simplify]: Simplify 1.0 into 1.0 32.799 * [backup-simplify]: Simplify (+ 0 0) into 0 32.812 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 32.814 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 32.817 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 32.817 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 32.817 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 32.817 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 32.817 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 32.817 * [taylor]: Taking taylor expansion of (/ 1 N) in N 32.817 * [taylor]: Taking taylor expansion of N in N 32.817 * [backup-simplify]: Simplify 0 into 0 32.817 * [backup-simplify]: Simplify 1 into 1 32.818 * [backup-simplify]: Simplify (/ 1 1) into 1 32.818 * [taylor]: Taking taylor expansion of 1.0 in N 32.818 * [backup-simplify]: Simplify 1.0 into 1.0 32.818 * [backup-simplify]: Simplify (+ 1 0) into 1 32.819 * [backup-simplify]: Simplify (log 1) into 0 32.819 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 32.819 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 32.819 * [taylor]: Taking taylor expansion of (/ 1 N) in N 32.819 * [taylor]: Taking taylor expansion of N in N 32.819 * [backup-simplify]: Simplify 0 into 0 32.819 * [backup-simplify]: Simplify 1 into 1 32.819 * [backup-simplify]: Simplify (/ 1 1) into 1 32.819 * [taylor]: Taking taylor expansion of 1.0 in N 32.819 * [backup-simplify]: Simplify 1.0 into 1.0 32.820 * [backup-simplify]: Simplify (+ 1 0) into 1 32.820 * [backup-simplify]: Simplify (log 1) into 0 32.821 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 32.821 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 32.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.823 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 32.837 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 32.837 * [backup-simplify]: Simplify 1.0 into 1.0 32.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.839 * [backup-simplify]: Simplify (+ 0 0) into 0 32.853 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 32.854 * [backup-simplify]: Simplify -0.5 into -0.5 32.854 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 32.855 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 32.855 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 32.855 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 32.855 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 32.855 * [taylor]: Taking taylor expansion of 1.0 in N 32.855 * [backup-simplify]: Simplify 1.0 into 1.0 32.855 * [taylor]: Taking taylor expansion of (/ 1 N) in N 32.855 * [taylor]: Taking taylor expansion of N in N 32.855 * [backup-simplify]: Simplify 0 into 0 32.855 * [backup-simplify]: Simplify 1 into 1 32.856 * [backup-simplify]: Simplify (/ 1 1) into 1 32.857 * [backup-simplify]: Simplify (- 1) into -1 32.857 * [backup-simplify]: Simplify (+ 0 -1) into -1 32.858 * [backup-simplify]: Simplify (log -1) into (log -1) 32.858 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 32.858 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 32.858 * [taylor]: Taking taylor expansion of 1.0 in N 32.858 * [backup-simplify]: Simplify 1.0 into 1.0 32.858 * [taylor]: Taking taylor expansion of (/ 1 N) in N 32.858 * [taylor]: Taking taylor expansion of N in N 32.858 * [backup-simplify]: Simplify 0 into 0 32.858 * [backup-simplify]: Simplify 1 into 1 32.859 * [backup-simplify]: Simplify (/ 1 1) into 1 32.860 * [backup-simplify]: Simplify (- 1) into -1 32.861 * [backup-simplify]: Simplify (+ 0 -1) into -1 32.862 * [backup-simplify]: Simplify (log -1) into (log -1) 32.863 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 32.864 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 32.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.865 * [backup-simplify]: Simplify (- 0) into 0 32.870 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 32.881 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 32.881 * [backup-simplify]: Simplify -1.0 into -1.0 32.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.883 * [backup-simplify]: Simplify (- 0) into 0 32.883 * [backup-simplify]: Simplify (+ 0 0) into 0 32.897 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 32.898 * [backup-simplify]: Simplify -0.5 into -0.5 32.900 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 32.900 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 32.900 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 32.900 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 32.900 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 32.901 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 32.901 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 32.901 * [taylor]: Taking taylor expansion of N in N 32.901 * [backup-simplify]: Simplify 0 into 0 32.901 * [backup-simplify]: Simplify 1 into 1 32.901 * [taylor]: Taking taylor expansion of 1.0 in N 32.901 * [backup-simplify]: Simplify 1.0 into 1.0 32.902 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 32.903 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 32.903 * [taylor]: Taking taylor expansion of (log N) in N 32.903 * [taylor]: Taking taylor expansion of N in N 32.903 * [backup-simplify]: Simplify 0 into 0 32.903 * [backup-simplify]: Simplify 1 into 1 32.903 * [backup-simplify]: Simplify (log 1) into 0 32.903 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 32.903 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 32.903 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 32.903 * [taylor]: Taking taylor expansion of N in N 32.903 * [backup-simplify]: Simplify 0 into 0 32.904 * [backup-simplify]: Simplify 1 into 1 32.904 * [taylor]: Taking taylor expansion of 1.0 in N 32.904 * [backup-simplify]: Simplify 1.0 into 1.0 32.904 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 32.905 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 32.905 * [taylor]: Taking taylor expansion of (log N) in N 32.905 * [taylor]: Taking taylor expansion of N in N 32.905 * [backup-simplify]: Simplify 0 into 0 32.905 * [backup-simplify]: Simplify 1 into 1 32.905 * [backup-simplify]: Simplify (log 1) into 0 32.906 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 32.906 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 32.907 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 32.907 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 32.908 * [backup-simplify]: Simplify (+ 1 0) into 1 32.917 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 32.920 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 32.921 * [backup-simplify]: Simplify (- 0) into 0 32.921 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 32.922 * [backup-simplify]: Simplify 1.0 into 1.0 32.922 * [backup-simplify]: Simplify (+ 0 0) into 0 32.935 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 32.937 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 32.937 * [backup-simplify]: Simplify (- 0) into 0 32.940 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 32.944 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 32.949 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 32.950 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 32.950 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 32.950 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 32.950 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 32.950 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 32.950 * [taylor]: Taking taylor expansion of (/ 1 N) in N 32.950 * [taylor]: Taking taylor expansion of N in N 32.950 * [backup-simplify]: Simplify 0 into 0 32.950 * [backup-simplify]: Simplify 1 into 1 32.951 * [backup-simplify]: Simplify (/ 1 1) into 1 32.951 * [taylor]: Taking taylor expansion of 1.0 in N 32.952 * [backup-simplify]: Simplify 1.0 into 1.0 32.953 * [backup-simplify]: Simplify (+ 1 0) into 1 32.953 * [backup-simplify]: Simplify (log 1) into 0 32.953 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 32.953 * [taylor]: Taking taylor expansion of (/ 1 N) in N 32.953 * [taylor]: Taking taylor expansion of N in N 32.953 * [backup-simplify]: Simplify 0 into 0 32.953 * [backup-simplify]: Simplify 1 into 1 32.967 * [backup-simplify]: Simplify (/ 1 1) into 1 32.968 * [backup-simplify]: Simplify (log 1) into 0 32.968 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 32.968 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 32.969 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 32.969 * [taylor]: Taking taylor expansion of (/ 1 N) in N 32.969 * [taylor]: Taking taylor expansion of N in N 32.969 * [backup-simplify]: Simplify 0 into 0 32.969 * [backup-simplify]: Simplify 1 into 1 32.969 * [backup-simplify]: Simplify (/ 1 1) into 1 32.969 * [taylor]: Taking taylor expansion of 1.0 in N 32.969 * [backup-simplify]: Simplify 1.0 into 1.0 32.970 * [backup-simplify]: Simplify (+ 1 0) into 1 32.971 * [backup-simplify]: Simplify (log 1) into 0 32.971 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 32.971 * [taylor]: Taking taylor expansion of (/ 1 N) in N 32.971 * [taylor]: Taking taylor expansion of N in N 32.971 * [backup-simplify]: Simplify 0 into 0 32.971 * [backup-simplify]: Simplify 1 into 1 32.972 * [backup-simplify]: Simplify (/ 1 1) into 1 32.973 * [backup-simplify]: Simplify (log 1) into 0 32.973 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 32.974 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 32.974 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 32.974 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 32.974 * [backup-simplify]: Simplify 0 into 0 32.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.976 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 32.983 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 32.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.984 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 32.985 * [backup-simplify]: Simplify (- 0) into 0 32.985 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 32.985 * [backup-simplify]: Simplify 1.0 into 1.0 32.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.986 * [backup-simplify]: Simplify (+ 0 0) into 0 32.997 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 32.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.001 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 33.002 * [backup-simplify]: Simplify (- 0) into 0 33.003 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 33.003 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 33.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.004 * [backup-simplify]: Simplify (+ 0 0) into 0 33.021 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 33.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.028 * [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 33.029 * [backup-simplify]: Simplify (- 0) into 0 33.047 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 33.047 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 33.049 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 33.053 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 33.053 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 33.053 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 33.053 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 33.053 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 33.053 * [taylor]: Taking taylor expansion of 1.0 in N 33.053 * [backup-simplify]: Simplify 1.0 into 1.0 33.053 * [taylor]: Taking taylor expansion of (/ 1 N) in N 33.053 * [taylor]: Taking taylor expansion of N in N 33.053 * [backup-simplify]: Simplify 0 into 0 33.053 * [backup-simplify]: Simplify 1 into 1 33.054 * [backup-simplify]: Simplify (/ 1 1) into 1 33.054 * [backup-simplify]: Simplify (- 1) into -1 33.055 * [backup-simplify]: Simplify (+ 0 -1) into -1 33.055 * [backup-simplify]: Simplify (log -1) into (log -1) 33.055 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 33.055 * [taylor]: Taking taylor expansion of (/ -1 N) in N 33.055 * [taylor]: Taking taylor expansion of -1 in N 33.055 * [backup-simplify]: Simplify -1 into -1 33.055 * [taylor]: Taking taylor expansion of N in N 33.055 * [backup-simplify]: Simplify 0 into 0 33.055 * [backup-simplify]: Simplify 1 into 1 33.056 * [backup-simplify]: Simplify (/ -1 1) into -1 33.056 * [backup-simplify]: Simplify (log -1) into (log -1) 33.056 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 33.056 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 33.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 33.057 * [taylor]: Taking taylor expansion of 1.0 in N 33.057 * [backup-simplify]: Simplify 1.0 into 1.0 33.057 * [taylor]: Taking taylor expansion of (/ 1 N) in N 33.057 * [taylor]: Taking taylor expansion of N in N 33.057 * [backup-simplify]: Simplify 0 into 0 33.057 * [backup-simplify]: Simplify 1 into 1 33.067 * [backup-simplify]: Simplify (/ 1 1) into 1 33.068 * [backup-simplify]: Simplify (- 1) into -1 33.068 * [backup-simplify]: Simplify (+ 0 -1) into -1 33.069 * [backup-simplify]: Simplify (log -1) into (log -1) 33.069 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 33.069 * [taylor]: Taking taylor expansion of (/ -1 N) in N 33.069 * [taylor]: Taking taylor expansion of -1 in N 33.069 * [backup-simplify]: Simplify -1 into -1 33.069 * [taylor]: Taking taylor expansion of N in N 33.069 * [backup-simplify]: Simplify 0 into 0 33.069 * [backup-simplify]: Simplify 1 into 1 33.069 * [backup-simplify]: Simplify (/ -1 1) into -1 33.070 * [backup-simplify]: Simplify (log -1) into (log -1) 33.071 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 33.318 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 33.331 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 33.332 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 33.338 * [backup-simplify]: Simplify 0 into 0 33.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.345 * [backup-simplify]: Simplify (- 0) into 0 33.345 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 33.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 33.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 33.389 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 33.390 * [backup-simplify]: Simplify (- 0) into 0 33.390 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 33.391 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 33.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.402 * [backup-simplify]: Simplify (- 0) into 0 33.402 * [backup-simplify]: Simplify (+ 0 0) into 0 33.448 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 33.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.455 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 33.456 * [backup-simplify]: Simplify (- 0) into 0 33.456 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 33.456 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 33.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.457 * [backup-simplify]: Simplify (- 0) into 0 33.457 * [backup-simplify]: Simplify (+ 0 0) into 0 33.474 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 33.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.480 * [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 33.481 * [backup-simplify]: Simplify (- 0) into 0 33.481 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 33.482 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 33.484 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 33.495 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 33.496 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 33.496 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 33.496 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 33.496 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 33.496 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 33.498 * [taylor]: Taking taylor expansion of N in N 33.498 * [backup-simplify]: Simplify 0 into 0 33.498 * [backup-simplify]: Simplify 1 into 1 33.498 * [taylor]: Taking taylor expansion of 1.0 in N 33.498 * [backup-simplify]: Simplify 1.0 into 1.0 33.498 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 33.499 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 33.499 * [taylor]: Taking taylor expansion of (log N) in N 33.499 * [taylor]: Taking taylor expansion of N in N 33.499 * [backup-simplify]: Simplify 0 into 0 33.499 * [backup-simplify]: Simplify 1 into 1 33.499 * [backup-simplify]: Simplify (log 1) into 0 33.500 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 33.500 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 33.500 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 33.500 * [taylor]: Taking taylor expansion of N in N 33.500 * [backup-simplify]: Simplify 0 into 0 33.500 * [backup-simplify]: Simplify 1 into 1 33.500 * [taylor]: Taking taylor expansion of 1.0 in N 33.500 * [backup-simplify]: Simplify 1.0 into 1.0 33.500 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 33.501 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 33.501 * [taylor]: Taking taylor expansion of (log N) in N 33.501 * [taylor]: Taking taylor expansion of N in N 33.501 * [backup-simplify]: Simplify 0 into 0 33.501 * [backup-simplify]: Simplify 1 into 1 33.501 * [backup-simplify]: Simplify (log 1) into 0 33.502 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 33.502 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 33.503 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 33.503 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 33.504 * [backup-simplify]: Simplify (+ 1 0) into 1 33.510 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 33.513 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 33.514 * [backup-simplify]: Simplify (- 0) into 0 33.515 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 33.515 * [backup-simplify]: Simplify 1.0 into 1.0 33.516 * [backup-simplify]: Simplify (+ 0 0) into 0 33.529 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 33.533 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 33.533 * [backup-simplify]: Simplify (- 0) into 0 33.536 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 33.542 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 33.549 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 33.550 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 33.550 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 33.550 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 33.550 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 33.550 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 33.550 * [taylor]: Taking taylor expansion of (/ 1 N) in N 33.550 * [taylor]: Taking taylor expansion of N in N 33.550 * [backup-simplify]: Simplify 0 into 0 33.550 * [backup-simplify]: Simplify 1 into 1 33.551 * [backup-simplify]: Simplify (/ 1 1) into 1 33.552 * [taylor]: Taking taylor expansion of 1.0 in N 33.552 * [backup-simplify]: Simplify 1.0 into 1.0 33.553 * [backup-simplify]: Simplify (+ 1 0) into 1 33.554 * [backup-simplify]: Simplify (log 1) into 0 33.555 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 33.555 * [taylor]: Taking taylor expansion of (/ 1 N) in N 33.555 * [taylor]: Taking taylor expansion of N in N 33.555 * [backup-simplify]: Simplify 0 into 0 33.555 * [backup-simplify]: Simplify 1 into 1 33.555 * [backup-simplify]: Simplify (/ 1 1) into 1 33.555 * [backup-simplify]: Simplify (log 1) into 0 33.555 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 33.555 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 33.555 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 33.555 * [taylor]: Taking taylor expansion of (/ 1 N) in N 33.555 * [taylor]: Taking taylor expansion of N in N 33.555 * [backup-simplify]: Simplify 0 into 0 33.555 * [backup-simplify]: Simplify 1 into 1 33.556 * [backup-simplify]: Simplify (/ 1 1) into 1 33.556 * [taylor]: Taking taylor expansion of 1.0 in N 33.556 * [backup-simplify]: Simplify 1.0 into 1.0 33.556 * [backup-simplify]: Simplify (+ 1 0) into 1 33.557 * [backup-simplify]: Simplify (log 1) into 0 33.557 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 33.557 * [taylor]: Taking taylor expansion of (/ 1 N) in N 33.557 * [taylor]: Taking taylor expansion of N in N 33.557 * [backup-simplify]: Simplify 0 into 0 33.557 * [backup-simplify]: Simplify 1 into 1 33.557 * [backup-simplify]: Simplify (/ 1 1) into 1 33.558 * [backup-simplify]: Simplify (log 1) into 0 33.559 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 33.559 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 33.559 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 33.559 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 33.559 * [backup-simplify]: Simplify 0 into 0 33.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.561 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 33.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 33.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.578 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 33.579 * [backup-simplify]: Simplify (- 0) into 0 33.579 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 33.579 * [backup-simplify]: Simplify 1.0 into 1.0 33.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.580 * [backup-simplify]: Simplify (+ 0 0) into 0 33.597 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 33.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.603 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 33.604 * [backup-simplify]: Simplify (- 0) into 0 33.605 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 33.605 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 33.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.607 * [backup-simplify]: Simplify (+ 0 0) into 0 33.926 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 33.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.945 * [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 33.946 * [backup-simplify]: Simplify (- 0) into 0 33.947 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 33.947 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 33.968 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 33.968 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 33.969 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 33.969 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 33.969 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 33.969 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 33.969 * [taylor]: Taking taylor expansion of 1.0 in N 33.969 * [backup-simplify]: Simplify 1.0 into 1.0 33.969 * [taylor]: Taking taylor expansion of (/ 1 N) in N 33.969 * [taylor]: Taking taylor expansion of N in N 33.969 * [backup-simplify]: Simplify 0 into 0 33.969 * [backup-simplify]: Simplify 1 into 1 33.969 * [backup-simplify]: Simplify (/ 1 1) into 1 33.970 * [backup-simplify]: Simplify (- 1) into -1 33.970 * [backup-simplify]: Simplify (+ 0 -1) into -1 33.971 * [backup-simplify]: Simplify (log -1) into (log -1) 33.971 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 33.971 * [taylor]: Taking taylor expansion of (/ -1 N) in N 33.971 * [taylor]: Taking taylor expansion of -1 in N 33.971 * [backup-simplify]: Simplify -1 into -1 33.971 * [taylor]: Taking taylor expansion of N in N 33.971 * [backup-simplify]: Simplify 0 into 0 33.971 * [backup-simplify]: Simplify 1 into 1 33.971 * [backup-simplify]: Simplify (/ -1 1) into -1 33.972 * [backup-simplify]: Simplify (log -1) into (log -1) 33.972 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 33.972 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 33.972 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 33.972 * [taylor]: Taking taylor expansion of 1.0 in N 33.972 * [backup-simplify]: Simplify 1.0 into 1.0 33.972 * [taylor]: Taking taylor expansion of (/ 1 N) in N 33.972 * [taylor]: Taking taylor expansion of N in N 33.972 * [backup-simplify]: Simplify 0 into 0 33.972 * [backup-simplify]: Simplify 1 into 1 33.972 * [backup-simplify]: Simplify (/ 1 1) into 1 33.973 * [backup-simplify]: Simplify (- 1) into -1 33.973 * [backup-simplify]: Simplify (+ 0 -1) into -1 33.973 * [backup-simplify]: Simplify (log -1) into (log -1) 33.973 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 33.973 * [taylor]: Taking taylor expansion of (/ -1 N) in N 33.973 * [taylor]: Taking taylor expansion of -1 in N 33.973 * [backup-simplify]: Simplify -1 into -1 33.973 * [taylor]: Taking taylor expansion of N in N 33.973 * [backup-simplify]: Simplify 0 into 0 33.974 * [backup-simplify]: Simplify 1 into 1 33.982 * [backup-simplify]: Simplify (/ -1 1) into -1 33.983 * [backup-simplify]: Simplify (log -1) into (log -1) 33.984 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 33.985 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 33.986 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 33.987 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 33.987 * [backup-simplify]: Simplify 0 into 0 33.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.988 * [backup-simplify]: Simplify (- 0) into 0 33.988 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 34.004 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 34.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 34.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 34.015 * [backup-simplify]: Simplify (- 0) into 0 34.016 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 34.016 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 34.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.018 * [backup-simplify]: Simplify (- 0) into 0 34.018 * [backup-simplify]: Simplify (+ 0 0) into 0 34.047 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 34.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.061 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 34.062 * [backup-simplify]: Simplify (- 0) into 0 34.062 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 34.063 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 34.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.064 * [backup-simplify]: Simplify (- 0) into 0 34.065 * [backup-simplify]: Simplify (+ 0 0) into 0 34.096 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 34.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.103 * [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 34.104 * [backup-simplify]: Simplify (- 0) into 0 34.104 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 34.105 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 34.107 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 34.107 * * * [progress]: simplifying candidates 34.110 * [simplify]: Simplifying: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 34.113 * * [simplify]: iteration 0: 101 enodes 34.200 * * [simplify]: iteration 1: 213 enodes 34.637 * * [simplify]: iteration 2: 528 enodes 35.774 * * [simplify]: iteration 3: 1602 enodes 43.325 * * [simplify]: iteration 4: 4900 enodes 47.894 * * [simplify]: iteration complete: 5000 enodes 47.895 * * [simplify]: Extracting #0: cost 39 inf + 0 47.896 * * [simplify]: Extracting #1: cost 321 inf + 1 47.901 * * [simplify]: Extracting #2: cost 1056 inf + 3788 47.922 * * [simplify]: Extracting #3: cost 1004 inf + 53267 47.987 * * [simplify]: Extracting #4: cost 210 inf + 169873 48.134 * * [simplify]: Extracting #5: cost 11 inf + 222876 48.218 * * [simplify]: Extracting #6: cost 0 inf + 227141 48.320 * [simplify]: Simplified to: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (* (* N N) N) (* (* 1.0 1.0) 1.0))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (* (* N N) N) (* (* 1.0 1.0) 1.0))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (log N) (* (log N) (log N)))) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (* (+ (log (+ N 1.0)) (log N)) (log N))) (- (log N)) (* (- (log (+ N 1.0)) (log N)) (+ (log (+ N 1.0)) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (log N) (* (log N) (log N)))) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (* (+ (log (+ N 1.0)) (log N)) (log N))) (- (log N)) (* (- (log (+ N 1.0)) (log N)) (+ (log (+ N 1.0)) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (+ (- (log 1.0) (* (/ N 1.0) (* (/ N 1.0) 1/2))) (* 1.0 N)) (+ (/ 1.0 N) (- (log N) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (log N) (/ (/ 0.5 N) N))) (+ (- (log 1.0) (* (/ N 1.0) (* (/ N 1.0) 1/2))) (* 1.0 N)) (+ (/ 1.0 N) (- (log N) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (log N) (/ (/ 0.5 N) N))) (- (- (+ (* 1.0 N) (log 1.0)) (log N)) (* (/ N 1.0) (* (/ N 1.0) 1/2))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (- (- (+ (* 1.0 N) (log 1.0)) (log N)) (* (/ N 1.0) (* (/ N 1.0) 1/2))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) 48.354 * * * [progress]: adding candidates to table 49.381 * [progress]: [Phase 3 of 3] Extracting. 49.381 * * [regime]: Finding splitpoints for: (# # # #) 49.383 * * * [regime-changes]: Trying 2 branch expressions: ((- (log (+ N 1.0)) (log N)) N) 49.383 * * * * [regimes]: Trying to branch on (- (log (+ N 1.0)) (log N)) from (# # # #) 49.460 * * * * [regimes]: Trying to branch on N from (# # # #) 49.536 * * * [regime]: Found split indices: #