20.812 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.082 * * * [progress]: [2/2] Setting up program. 0.091 * [progress]: [Phase 2 of 3] Improving. 0.091 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.092 * * [simplify]: iteration 0: 6 enodes 0.094 * * [simplify]: iteration 1: 9 enodes 0.096 * * [simplify]: iteration 2: 10 enodes 0.098 * * [simplify]: iteration complete: 10 enodes 0.099 * * [simplify]: Extracting #0: cost 1 inf + 0 0.099 * * [simplify]: Extracting #1: cost 4 inf + 0 0.099 * * [simplify]: Extracting #2: cost 6 inf + 0 0.099 * * [simplify]: Extracting #3: cost 6 inf + 1 0.099 * * [simplify]: Extracting #4: cost 0 inf + 560 0.099 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.100 * * [progress]: iteration 1 / 4 0.100 * * * [progress]: picking best candidate 0.129 * * * * [pick]: Picked # 0.129 * * * [progress]: localizing error 0.151 * * * [progress]: generating rewritten candidates 0.151 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.156 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.169 * * * [progress]: generating series expansions 0.169 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.173 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.173 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.174 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.174 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [taylor]: Taking taylor expansion of 1.0 in N 0.174 * [backup-simplify]: Simplify 1.0 into 1.0 0.175 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.175 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.175 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.175 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [backup-simplify]: Simplify 1.0 into 1.0 0.176 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.176 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.177 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.177 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.181 * [backup-simplify]: Simplify 1.0 into 1.0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [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)) 0.189 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.190 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.190 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.190 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.190 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.190 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [taylor]: Taking taylor expansion of 1.0 in N 0.191 * [backup-simplify]: Simplify 1.0 into 1.0 0.191 * [backup-simplify]: Simplify (+ 1 0) into 1 0.191 * [backup-simplify]: Simplify (log 1) into 0 0.191 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.191 * [taylor]: Taking taylor expansion of N in N 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [taylor]: Taking taylor expansion of 1.0 in N 0.192 * [backup-simplify]: Simplify 1.0 into 1.0 0.192 * [backup-simplify]: Simplify (+ 1 0) into 1 0.192 * [backup-simplify]: Simplify (log 1) into 0 0.192 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.192 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.199 * [backup-simplify]: Simplify 1.0 into 1.0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [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 0.207 * [backup-simplify]: Simplify -0.5 into -0.5 0.207 * [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)))) 0.208 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.208 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.208 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.208 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [backup-simplify]: Simplify 1.0 into 1.0 0.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify (- 1) into -1 0.208 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.209 * [backup-simplify]: Simplify (log -1) into (log -1) 0.209 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.209 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.209 * [taylor]: Taking taylor expansion of 1.0 in N 0.209 * [backup-simplify]: Simplify 1.0 into 1.0 0.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [backup-simplify]: Simplify (- 1) into -1 0.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.210 * [backup-simplify]: Simplify (log -1) into (log -1) 0.210 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.211 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.212 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.215 * [backup-simplify]: Simplify -1.0 into -1.0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.668 * [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 0.669 * [backup-simplify]: Simplify -0.5 into -0.5 0.669 * [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)))) 0.670 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.670 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.670 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.670 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.670 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.670 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.670 * [taylor]: Taking taylor expansion of N in N 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [taylor]: Taking taylor expansion of 1.0 in N 0.670 * [backup-simplify]: Simplify 1.0 into 1.0 0.671 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.671 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.671 * [taylor]: Taking taylor expansion of (log N) in N 0.671 * [taylor]: Taking taylor expansion of N in N 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.671 * [backup-simplify]: Simplify (log 1) into 0 0.671 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.671 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.672 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.672 * [taylor]: Taking taylor expansion of N in N 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [taylor]: Taking taylor expansion of 1.0 in N 0.672 * [backup-simplify]: Simplify 1.0 into 1.0 0.672 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.672 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.672 * [taylor]: Taking taylor expansion of (log N) in N 0.673 * [taylor]: Taking taylor expansion of N in N 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.673 * [backup-simplify]: Simplify (log 1) into 0 0.674 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.674 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.674 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.675 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.675 * [backup-simplify]: Simplify (+ 1 0) into 1 0.680 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.682 * [backup-simplify]: Simplify (- 0) into 0 0.683 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.683 * [backup-simplify]: Simplify 1.0 into 1.0 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [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)) 0.698 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.699 * [backup-simplify]: Simplify (- 0) into 0 0.700 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.702 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.704 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.704 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.705 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.705 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.705 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.705 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.705 * [taylor]: Taking taylor expansion of N in N 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (/ 1 1) into 1 0.705 * [taylor]: Taking taylor expansion of 1.0 in N 0.705 * [backup-simplify]: Simplify 1.0 into 1.0 0.705 * [backup-simplify]: Simplify (+ 1 0) into 1 0.705 * [backup-simplify]: Simplify (log 1) into 0 0.705 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.706 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.706 * [taylor]: Taking taylor expansion of N in N 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (/ 1 1) into 1 0.706 * [backup-simplify]: Simplify (log 1) into 0 0.706 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.706 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.706 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.706 * [taylor]: Taking taylor expansion of N in N 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (/ 1 1) into 1 0.706 * [taylor]: Taking taylor expansion of 1.0 in N 0.706 * [backup-simplify]: Simplify 1.0 into 1.0 0.707 * [backup-simplify]: Simplify (+ 1 0) into 1 0.707 * [backup-simplify]: Simplify (log 1) into 0 0.707 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.707 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.707 * [taylor]: Taking taylor expansion of N in N 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (/ 1 1) into 1 0.708 * [backup-simplify]: Simplify (log 1) into 0 0.708 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.708 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.708 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.708 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.709 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.715 * [backup-simplify]: Simplify (- 0) into 0 0.715 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.715 * [backup-simplify]: Simplify 1.0 into 1.0 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (+ 0 0) into 0 0.722 * [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 0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.725 * [backup-simplify]: Simplify (- 0) into 0 0.725 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.725 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (+ 0 0) into 0 0.738 * [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 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.741 * [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 0.742 * [backup-simplify]: Simplify (- 0) into 0 0.742 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.742 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.743 * [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)))) 0.743 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.743 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.743 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.743 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.743 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.743 * [taylor]: Taking taylor expansion of 1.0 in N 0.743 * [backup-simplify]: Simplify 1.0 into 1.0 0.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.743 * [taylor]: Taking taylor expansion of N in N 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (/ 1 1) into 1 0.744 * [backup-simplify]: Simplify (- 1) into -1 0.744 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.744 * [backup-simplify]: Simplify (log -1) into (log -1) 0.744 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.744 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.744 * [taylor]: Taking taylor expansion of -1 in N 0.744 * [backup-simplify]: Simplify -1 into -1 0.744 * [taylor]: Taking taylor expansion of N in N 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (/ -1 1) into -1 0.745 * [backup-simplify]: Simplify (log -1) into (log -1) 0.745 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.745 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.745 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.745 * [taylor]: Taking taylor expansion of 1.0 in N 0.745 * [backup-simplify]: Simplify 1.0 into 1.0 0.745 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.745 * [taylor]: Taking taylor expansion of N in N 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (/ 1 1) into 1 0.745 * [backup-simplify]: Simplify (- 1) into -1 0.746 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.746 * [backup-simplify]: Simplify (log -1) into (log -1) 0.746 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.746 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.746 * [taylor]: Taking taylor expansion of -1 in N 0.746 * [backup-simplify]: Simplify -1 into -1 0.746 * [taylor]: Taking taylor expansion of N in N 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 1 into 1 0.746 * [backup-simplify]: Simplify (/ -1 1) into -1 0.747 * [backup-simplify]: Simplify (log -1) into (log -1) 0.748 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.749 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.749 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.750 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (- 0) into 0 0.752 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.758 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.760 * [backup-simplify]: Simplify (- 0) into 0 0.760 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.761 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (- 0) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.768 * [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 0.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.770 * [backup-simplify]: Simplify (- 0) into 0 0.770 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.771 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (- 0) into 0 0.774 * [backup-simplify]: Simplify (+ 0 0) into 0 0.785 * [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 0.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [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 0.789 * [backup-simplify]: Simplify (- 0) into 0 0.789 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.789 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.790 * [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)))) 0.791 * * * [progress]: simplifying candidates 0.792 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (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))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (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)) (- (+ (log 1.0) (* 1.0 N)) (* 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)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 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)))) 0.793 * * [simplify]: iteration 0: 127 enodes 0.837 * * [simplify]: iteration 1: 287 enodes 1.017 * * [simplify]: iteration 2: 1090 enodes 1.856 * * [simplify]: iteration complete: 5001 enodes 1.856 * * [simplify]: Extracting #0: cost 45 inf + 0 1.858 * * [simplify]: Extracting #1: cost 853 inf + 1 1.863 * * [simplify]: Extracting #2: cost 1499 inf + 1417 1.875 * * [simplify]: Extracting #3: cost 1056 inf + 74499 1.934 * * [simplify]: Extracting #4: cost 262 inf + 227569 2.000 * * [simplify]: Extracting #5: cost 39 inf + 285451 2.087 * * [simplify]: Extracting #6: cost 4 inf + 293803 2.169 * * [simplify]: Extracting #7: cost 0 inf + 294815 2.263 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (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 (fma (* 1.0 1.0) 1.0 (* N (* N N)))) (log (fma 1.0 (- 1.0 N) (* N N))) (log (* (+ N 1.0) (- N 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 (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (* (cbrt (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log N)) 0 (- (* (cbrt (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log N)) 0 (- (* (cbrt (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log N)) 0 (- (* (cbrt (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (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))) (fma (log N) (+ (log (+ N 1.0)) (log N)) (* (log (+ N 1.0)) (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)) (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 (fma 1.0 (- 1.0 N) (* N N)))) (+ (log N) (log (- N 1.0))) (- (log N)) (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma 1.0 N (log 1.0))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (fma (/ 1 N) 1.0 (log -1)) (fma 0.5 (/ (/ 1 N) N) (- (log -1) (log N)))) (- (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma 1.0 N (log 1.0))) (log N)) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) 2.271 * * * [progress]: adding candidates to table 2.518 * * [progress]: iteration 2 / 4 2.518 * * * [progress]: picking best candidate 2.524 * * * * [pick]: Picked # 2.524 * * * [progress]: localizing error 2.545 * * * [progress]: generating rewritten candidates 2.545 * * * * [progress]: [ 1 / 3 ] rewriting at (2 3 1) 2.565 * * * * [progress]: [ 2 / 3 ] rewriting at (2 3) 2.673 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.687 * * * [progress]: generating series expansions 2.687 * * * * [progress]: [ 1 / 3 ] generating series at (2 3 1) 2.687 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 2.687 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 2.687 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.687 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.687 * [taylor]: Taking taylor expansion of N in N 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify 1 into 1 2.688 * [backup-simplify]: Simplify (* 1 1) into 1 2.688 * [backup-simplify]: Simplify (/ 1 1) into 1 2.688 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.688 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.688 * [taylor]: Taking taylor expansion of N in N 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.688 * [backup-simplify]: Simplify (* 1 1) into 1 2.689 * [backup-simplify]: Simplify (/ 1 1) into 1 2.689 * [backup-simplify]: Simplify 1 into 1 2.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.691 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.693 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.696 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.698 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.700 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 2.701 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 2.701 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 2.701 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.701 * [taylor]: Taking taylor expansion of N in N 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify 1 into 1 2.701 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.701 * [taylor]: Taking taylor expansion of N in N 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify 1 into 1 2.702 * [backup-simplify]: Simplify (* 1 1) into 1 2.702 * [backup-simplify]: Simplify 1 into 1 2.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.702 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.703 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.704 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.706 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.707 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 2.709 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 2.709 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 2.709 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.709 * [taylor]: Taking taylor expansion of N in N 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 1 into 1 2.709 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.709 * [taylor]: Taking taylor expansion of N in N 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (* 1 1) into 1 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.710 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.711 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.712 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.715 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 2.717 * * * * [progress]: [ 2 / 3 ] generating series at (2 3) 2.717 * [backup-simplify]: Simplify (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) into (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) 2.717 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 2.717 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 2.717 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 2.717 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 2.717 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.717 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.717 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.717 * [taylor]: Taking taylor expansion of N in N 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify 1 into 1 2.718 * [backup-simplify]: Simplify (/ 1 1) into 1 2.718 * [taylor]: Taking taylor expansion of 0.5 in N 2.718 * [backup-simplify]: Simplify 0.5 into 0.5 2.718 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.718 * [taylor]: Taking taylor expansion of N in N 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 1 into 1 2.719 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.719 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.719 * [backup-simplify]: Simplify (* 1 1) into 1 2.720 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 2.720 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 2.720 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 2.720 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 2.720 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.720 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.720 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.720 * [taylor]: Taking taylor expansion of N in N 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 1 into 1 2.721 * [backup-simplify]: Simplify (/ 1 1) into 1 2.721 * [taylor]: Taking taylor expansion of 0.5 in N 2.721 * [backup-simplify]: Simplify 0.5 into 0.5 2.721 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.721 * [taylor]: Taking taylor expansion of N in N 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 1 into 1 2.721 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.722 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.722 * [backup-simplify]: Simplify (* 1 1) into 1 2.723 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 2.723 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.725 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.725 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.729 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5) 2.729 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.731 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.732 * [backup-simplify]: Simplify (- 0) into 0 2.732 * [backup-simplify]: Simplify (+ 0 0) into 0 2.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 0 2.734 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.737 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.737 * [backup-simplify]: Simplify (- 0) into 0 2.737 * [backup-simplify]: Simplify (+ 0 0) into 0 2.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.743 * [backup-simplify]: Simplify (- 0) into 0 2.743 * [backup-simplify]: Simplify (+ 0 0) into 0 2.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.748 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.748 * [backup-simplify]: Simplify (- 0) into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.755 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.755 * [backup-simplify]: Simplify (- 0) into 0 2.761 * [backup-simplify]: Simplify (+ 0 0) into 0 2.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify 0 into 0 2.764 * [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 2.765 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.765 * [backup-simplify]: Simplify (- 0) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 2.768 * [backup-simplify]: Simplify (* (/ (/ 1 (/ 1 N)) (/ 1 N)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5)) into (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) 2.768 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 2.768 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 2.768 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.768 * [taylor]: Taking taylor expansion of N in N 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.768 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 2.769 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 2.769 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.769 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.769 * [taylor]: Taking taylor expansion of N in N 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 1 into 1 2.769 * [taylor]: Taking taylor expansion of 0.5 in N 2.769 * [backup-simplify]: Simplify 0.5 into 0.5 2.769 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 2.769 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.769 * [taylor]: Taking taylor expansion of N in N 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 1 into 1 2.769 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 2.769 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 2.769 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.769 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.769 * [taylor]: Taking taylor expansion of N in N 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 1 into 1 2.769 * [taylor]: Taking taylor expansion of 0.5 in N 2.769 * [backup-simplify]: Simplify 0.5 into 0.5 2.769 * [backup-simplify]: Simplify (* 1 1) into 1 2.769 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 2.770 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.770 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.771 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 2.771 * [backup-simplify]: Simplify -0.5 into -0.5 2.772 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 2.772 * [backup-simplify]: Simplify (- 0) into 0 2.772 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.774 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 2.774 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.774 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 2.774 * [backup-simplify]: Simplify (- 0) into 0 2.775 * [backup-simplify]: Simplify (+ 0 0) into 0 2.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))) into 0 2.776 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.777 * [backup-simplify]: Simplify (- 0) into 0 2.778 * [backup-simplify]: Simplify (+ 0 0) into 0 2.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))) into 0 2.779 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.781 * [backup-simplify]: Simplify (- 0) into 0 2.781 * [backup-simplify]: Simplify (+ 0 0) into 0 2.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))) into 0 2.783 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.784 * [backup-simplify]: Simplify (- 0) into 0 2.784 * [backup-simplify]: Simplify (+ 0 0) into 0 2.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))) into 0 2.786 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.787 * [backup-simplify]: Simplify (- 0) into 0 2.787 * [backup-simplify]: Simplify (+ 0 0) into 0 2.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))))) into 0 2.789 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.790 * [backup-simplify]: Simplify (- 0) into 0 2.791 * [backup-simplify]: Simplify (+ 0 0) into 0 2.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))))) into 0 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 2.793 * [backup-simplify]: Simplify (* (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5)) into (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) 2.793 * [approximate]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) in (N) around 0 2.793 * [taylor]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) in N 2.793 * [taylor]: Taking taylor expansion of -1 in N 2.793 * [backup-simplify]: Simplify -1 into -1 2.793 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)) in N 2.793 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.793 * [taylor]: Taking taylor expansion of N in N 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 1 into 1 2.794 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 2.794 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 2.794 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.794 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.794 * [taylor]: Taking taylor expansion of N in N 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 1 into 1 2.794 * [taylor]: Taking taylor expansion of 0.5 in N 2.794 * [backup-simplify]: Simplify 0.5 into 0.5 2.794 * [taylor]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) in N 2.794 * [taylor]: Taking taylor expansion of -1 in N 2.794 * [backup-simplify]: Simplify -1 into -1 2.794 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)) in N 2.794 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.794 * [taylor]: Taking taylor expansion of N in N 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 1 into 1 2.794 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 2.794 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 2.794 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.794 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.794 * [taylor]: Taking taylor expansion of N in N 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 1 into 1 2.794 * [taylor]: Taking taylor expansion of 0.5 in N 2.794 * [backup-simplify]: Simplify 0.5 into 0.5 2.794 * [backup-simplify]: Simplify (* 1 1) into 1 2.794 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 2.795 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 2.795 * [backup-simplify]: Simplify (* 1 0.5) into 0.5 2.796 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 2.796 * [backup-simplify]: Simplify -0.5 into -0.5 2.796 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 2.797 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.798 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 0.5)) into 0.3333333333333333 2.799 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (* 0 0.5)) into (- 0.3333333333333333) 2.799 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.800 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 2.800 * [backup-simplify]: Simplify (+ 0 0) into 0 2.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 0.5))) into 0 2.802 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.3333333333333333) (* 0 0.5))) into 0 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.803 * [backup-simplify]: Simplify (+ 0 0) into 0 2.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))) into 0 2.805 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))) into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.806 * [backup-simplify]: Simplify (+ 0 0) into 0 2.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))) into 0 2.808 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))) into 0 2.808 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.809 * [backup-simplify]: Simplify (+ 0 0) into 0 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))) into 0 2.812 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))) into 0 2.812 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.813 * [backup-simplify]: Simplify (+ 0 0) into 0 2.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))))) into 0 2.816 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))))) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.817 * [backup-simplify]: Simplify (+ 0 0) into 0 2.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))))) into 0 2.820 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))))) into 0 2.820 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* -0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 2.821 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.821 * [backup-simplify]: Simplify (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) into (fma (/ 1 N) 1.0 (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2))) 2.821 * [approximate]: Taking taylor expansion of (fma (/ 1 N) 1.0 (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2))) in (N) around 0 2.821 * [taylor]: Taking taylor expansion of (fma (/ 1 N) 1.0 (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2))) in N 2.822 * [taylor]: Rewrote expression to (+ (* (/ 1 N) 1.0) (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2))) 2.822 * [taylor]: Taking taylor expansion of (* (/ 1 N) 1.0) in N 2.822 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.822 * [taylor]: Taking taylor expansion of N in N 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (/ 1 1) into 1 2.823 * [taylor]: Taking taylor expansion of 1.0 in N 2.823 * [backup-simplify]: Simplify 1.0 into 1.0 2.823 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 2.823 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 2.823 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 2.823 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.823 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.823 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.823 * [taylor]: Taking taylor expansion of N in N 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (/ 1 1) into 1 2.823 * [taylor]: Taking taylor expansion of 0.5 in N 2.823 * [backup-simplify]: Simplify 0.5 into 0.5 2.823 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.823 * [taylor]: Taking taylor expansion of N in N 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.824 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.824 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.824 * [backup-simplify]: Simplify (* 1 1) into 1 2.824 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 2.824 * [taylor]: Taking taylor expansion of (fma (/ 1 N) 1.0 (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2))) in N 2.824 * [taylor]: Rewrote expression to (+ (* (/ 1 N) 1.0) (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2))) 2.824 * [taylor]: Taking taylor expansion of (* (/ 1 N) 1.0) in N 2.824 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.825 * [taylor]: Taking taylor expansion of N in N 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (/ 1 1) into 1 2.825 * [taylor]: Taking taylor expansion of 1.0 in N 2.825 * [backup-simplify]: Simplify 1.0 into 1.0 2.825 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 2.825 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 2.825 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 2.825 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.825 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.825 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.825 * [taylor]: Taking taylor expansion of N in N 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (/ 1 1) into 1 2.825 * [taylor]: Taking taylor expansion of 0.5 in N 2.825 * [backup-simplify]: Simplify 0.5 into 0.5 2.825 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.825 * [taylor]: Taking taylor expansion of N in N 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.826 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.826 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.826 * [backup-simplify]: Simplify (* 1 1) into 1 2.826 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 2.827 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.827 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.828 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.828 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.828 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.830 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5) 2.831 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.831 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.831 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 2.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.832 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.833 * [backup-simplify]: Simplify (- 0) into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 0 2.834 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.834 * [backup-simplify]: Simplify 1.0 into 1.0 2.835 * [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)))) 2.835 * [backup-simplify]: Simplify (fma (/ 1 (/ 1 N)) 1.0 (* (/ (/ 1 (/ 1 N)) (/ 1 N)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5))) into (fma N 1.0 (* (pow N 2) (- (* 0.3333333333333333 N) 0.5))) 2.835 * [approximate]: Taking taylor expansion of (fma N 1.0 (* (pow N 2) (- (* 0.3333333333333333 N) 0.5))) in (N) around 0 2.835 * [taylor]: Taking taylor expansion of (fma N 1.0 (* (pow N 2) (- (* 0.3333333333333333 N) 0.5))) in N 2.835 * [taylor]: Rewrote expression to (+ (* N 1.0) (* (pow N 2) (- (* 0.3333333333333333 N) 0.5))) 2.835 * [taylor]: Taking taylor expansion of (* N 1.0) in N 2.835 * [taylor]: Taking taylor expansion of N in N 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [taylor]: Taking taylor expansion of 1.0 in N 2.836 * [backup-simplify]: Simplify 1.0 into 1.0 2.836 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 2.836 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.836 * [taylor]: Taking taylor expansion of N in N 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 2.836 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 2.836 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.836 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.836 * [taylor]: Taking taylor expansion of N in N 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [taylor]: Taking taylor expansion of 0.5 in N 2.836 * [backup-simplify]: Simplify 0.5 into 0.5 2.836 * [taylor]: Taking taylor expansion of (fma N 1.0 (* (pow N 2) (- (* 0.3333333333333333 N) 0.5))) in N 2.836 * [taylor]: Rewrote expression to (+ (* N 1.0) (* (pow N 2) (- (* 0.3333333333333333 N) 0.5))) 2.836 * [taylor]: Taking taylor expansion of (* N 1.0) in N 2.836 * [taylor]: Taking taylor expansion of N in N 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [taylor]: Taking taylor expansion of 1.0 in N 2.836 * [backup-simplify]: Simplify 1.0 into 1.0 2.836 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 2.836 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.836 * [taylor]: Taking taylor expansion of N in N 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 2.836 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 2.836 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.836 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.836 * [taylor]: Taking taylor expansion of N in N 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [taylor]: Taking taylor expansion of 0.5 in N 2.836 * [backup-simplify]: Simplify 0.5 into 0.5 2.836 * [backup-simplify]: Simplify (* 0 1.0) into 0 2.837 * [backup-simplify]: Simplify (+ 0 0) into 0 2.837 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1.0)) into 1.0 2.838 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.838 * [backup-simplify]: Simplify 1.0 into 1.0 2.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1.0))) into 0 2.839 * [backup-simplify]: Simplify (* 1 1) into 1 2.839 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 2.839 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.840 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.840 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 2.840 * [backup-simplify]: Simplify (+ 0 -0.5) into (- 0.5) 2.841 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1.0)))) into 0 2.842 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 2.843 * [backup-simplify]: Simplify (- 0) into 0 2.843 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.849 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 2.850 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.850 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.851 * [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)))) 2.852 * [backup-simplify]: Simplify (fma (/ 1 (/ 1 (- N))) 1.0 (* (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5))) into (fma (* -1 N) 1.0 (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)))) 2.852 * [approximate]: Taking taylor expansion of (fma (* -1 N) 1.0 (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)))) in (N) around 0 2.852 * [taylor]: Taking taylor expansion of (fma (* -1 N) 1.0 (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)))) in N 2.852 * [taylor]: Rewrote expression to (+ (* (* -1 N) 1.0) (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)))) 2.852 * [taylor]: Taking taylor expansion of (* (* -1 N) 1.0) in N 2.852 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.852 * [taylor]: Taking taylor expansion of -1 in N 2.852 * [backup-simplify]: Simplify -1 into -1 2.852 * [taylor]: Taking taylor expansion of N in N 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 1 into 1 2.852 * [taylor]: Taking taylor expansion of 1.0 in N 2.852 * [backup-simplify]: Simplify 1.0 into 1.0 2.852 * [taylor]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) in N 2.852 * [taylor]: Taking taylor expansion of -1 in N 2.852 * [backup-simplify]: Simplify -1 into -1 2.852 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)) in N 2.852 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.853 * [taylor]: Taking taylor expansion of N in N 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 1 into 1 2.853 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 2.853 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 2.853 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.853 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.853 * [taylor]: Taking taylor expansion of N in N 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 1 into 1 2.853 * [taylor]: Taking taylor expansion of 0.5 in N 2.853 * [backup-simplify]: Simplify 0.5 into 0.5 2.853 * [taylor]: Taking taylor expansion of (fma (* -1 N) 1.0 (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)))) in N 2.853 * [taylor]: Rewrote expression to (+ (* (* -1 N) 1.0) (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)))) 2.853 * [taylor]: Taking taylor expansion of (* (* -1 N) 1.0) in N 2.853 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.853 * [taylor]: Taking taylor expansion of -1 in N 2.853 * [backup-simplify]: Simplify -1 into -1 2.853 * [taylor]: Taking taylor expansion of N in N 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 1 into 1 2.853 * [taylor]: Taking taylor expansion of 1.0 in N 2.853 * [backup-simplify]: Simplify 1.0 into 1.0 2.853 * [taylor]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5))) in N 2.853 * [taylor]: Taking taylor expansion of -1 in N 2.853 * [backup-simplify]: Simplify -1 into -1 2.853 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 0.3333333333333333 N) 0.5)) in N 2.853 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.853 * [taylor]: Taking taylor expansion of N in N 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 1 into 1 2.854 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 2.854 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 2.854 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.854 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.854 * [taylor]: Taking taylor expansion of N in N 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 1 into 1 2.854 * [taylor]: Taking taylor expansion of 0.5 in N 2.854 * [backup-simplify]: Simplify 0.5 into 0.5 2.854 * [backup-simplify]: Simplify (* -1 0) into 0 2.855 * [backup-simplify]: Simplify (* 0 1.0) into 0 2.855 * [backup-simplify]: Simplify (+ 0 0) into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.858 * [backup-simplify]: Simplify (+ (* 0 0) (* -1 1.0)) into (- 1.0) 2.859 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0) 2.859 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.860 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1 0) (* 0 1.0))) into 0 2.862 * [backup-simplify]: Simplify (* 1 1) into 1 2.862 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 2.863 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 2.863 * [backup-simplify]: Simplify (* 1 0.5) into 0.5 2.864 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 2.864 * [backup-simplify]: Simplify (+ 0 -0.5) into (- 0.5) 2.864 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.866 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.867 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1 0) (+ (* 0 0) (* 0 1.0)))) into 0 2.868 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 2.869 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.871 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 0.5)) into 0.3333333333333333 2.873 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (* 0 0.5)) into (- 0.3333333333333333) 2.874 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 2.874 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.875 * [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)))) 2.875 * * * [progress]: simplifying candidates 2.880 * [simplify]: Simplifying: (expm1 (/ (/ 1 N) N)) (log1p (/ (/ 1 N) N)) (- -1 1) (- (- 1) 1) (- (- (log N)) (log N)) (- (- 0 (log N)) (log N)) (- (- (log 1) (log N)) (log N)) (- (log (/ 1 N)) (log N)) (log (/ (/ 1 N) N)) (exp (/ (/ 1 N) N)) (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* N N) N)) (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* N N) N)) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (cbrt (/ (/ 1 N) N)) (* (* (/ (/ 1 N) N) (/ (/ 1 N) N)) (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) (- (/ 1 N)) (- N) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N)) (/ (cbrt (/ 1 N)) (sqrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) 1) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) 1) (/ (sqrt (/ 1 N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (cbrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 1) (cbrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) 1) (/ (/ (cbrt 1) (cbrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (sqrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (sqrt N)) (/ (/ (cbrt 1) (sqrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) 1) (/ (/ (cbrt 1) (sqrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) N) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt N)) (/ (/ (cbrt 1) N) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1) (/ (/ (cbrt 1) N) N) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (cbrt N)) (cbrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (sqrt 1) (cbrt N)) (sqrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) 1) (/ (/ (sqrt 1) (cbrt N)) N) (/ (/ (sqrt 1) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (sqrt N)) (cbrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) 1) (/ (/ (sqrt 1) (sqrt N)) N) (/ (/ (sqrt 1) 1) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) N) (cbrt N)) (/ (/ (sqrt 1) 1) (sqrt N)) (/ (/ (sqrt 1) N) (sqrt N)) (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt 1) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) 1) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) 1) (/ (/ 1 (sqrt N)) N) (/ (/ 1 1) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ (/ 1 1) (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ (/ 1 1) 1) (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 1) (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 1) (/ (/ 1 N) N) (/ 1 N) (/ N (/ 1 N)) (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (sqrt N)) (/ (/ 1 N) 1) (/ N (cbrt (/ 1 N))) (/ N (sqrt (/ 1 N))) (/ N (/ (cbrt 1) (cbrt N))) (/ N (/ (cbrt 1) (sqrt N))) (/ N (/ (cbrt 1) N)) (/ N (/ (sqrt 1) (cbrt N))) (/ N (/ (sqrt 1) (sqrt N))) (/ N (/ (sqrt 1) N)) (/ N (/ 1 (cbrt N))) (/ N (/ 1 (sqrt N))) (/ N (/ 1 N)) (/ N (/ 1 N)) (/ N (/ 1 N)) (* N N) (expm1 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (log1p (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) (+ (- (- (log N)) (log N)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (- 0 (log N)) (log N)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (- (log 1) (log N)) (log N)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log (/ 1 N)) (log N)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (log (/ (/ 1 N) N)) (log (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* N N) N)) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* N N) N)) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ (/ 1 N) N) (/ (/ 1 N) N)) (/ (/ 1 N) N)) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 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0.5)))) (/ (/ 1 N) N)) (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ (/ 1 N) N)) (* (fma 1 (/ 0.3333333333333333 N) (- (* 0.5 1))) (/ (/ 1 N) N)) (* (fma (- 0.5) 1 (* 0.5 1)) (/ (/ 1 N) N)) (* (fma 0.3333333333333333 (/ 1 N) (- (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5))))) (/ (/ 1 N) N)) (* (fma (- (cbrt 0.5)) (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* (cbrt 0.5) (cbrt 0.5)))) (/ (/ 1 N) N)) (* (fma 0.3333333333333333 (/ 1 N) (- (* (sqrt 0.5) (sqrt 0.5)))) (/ (/ 1 N) N)) (* (fma (- (sqrt 0.5)) (sqrt 0.5) (* (sqrt 0.5) (sqrt 0.5))) (/ (/ 1 N) N)) (* (fma 0.3333333333333333 (/ 1 N) (- (* 0.5 1))) (/ (/ 1 N) N)) (* (fma (- 0.5) 1 (* 0.5 1)) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* (- 0.5) (/ (/ 1 N) N)) (* (/ 0.3333333333333333 N) (/ (/ 1 N) N)) (* (- 0.5) (/ (/ 1 N) N)) (* (/ (/ 1 N) N) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5)))) (* (/ (/ 1 N) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (/ 1 N) N) 1) (* (/ (/ 1 N) N) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5))) (* (/ (/ 1 N) N) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5))) (* (/ (/ 1 N) N) 1) (* (cbrt (/ (/ 1 N) N)) (- (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ (/ 1 N) N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt (/ 1 N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt (/ 1 N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt (/ 1 N)) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt (/ 1 N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt (/ 1 N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt (/ 1 N)) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (cbrt 1) (cbrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (cbrt 1) (cbrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (cbrt 1) (cbrt N)) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (cbrt 1) (sqrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (cbrt 1) (sqrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (cbrt 1) (sqrt N)) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (cbrt 1) N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (cbrt 1) N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (cbrt 1) N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) (cbrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) (cbrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) (cbrt N)) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) (sqrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) (sqrt N)) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ (sqrt 1) N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (cbrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (cbrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (cbrt N)) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (sqrt N)) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (sqrt N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 (sqrt N)) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (cbrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (/ 1 N) N) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (/ (/ 1 N) N) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5)) (expm1 (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (log1p (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (* (/ 1 N) 1.0) (log (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (exp (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (* (cbrt (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))) (cbrt (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (* (* (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (sqrt (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (sqrt (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 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)))) 2.889 * * [simplify]: iteration 0: 416 enodes 3.107 * * [simplify]: iteration 1: 1227 enodes 3.465 * * [simplify]: iteration complete: 5001 enodes 3.465 * * [simplify]: Extracting #0: cost 124 inf + 0 3.468 * * [simplify]: Extracting #1: cost 1476 inf + 2 3.475 * * [simplify]: Extracting #2: cost 2173 inf + 6440 3.513 * * [simplify]: Extracting #3: cost 1617 inf + 91139 3.579 * * [simplify]: Extracting #4: cost 507 inf + 314419 3.695 * * [simplify]: Extracting #5: cost 185 inf + 407969 3.817 * * [simplify]: Extracting #6: cost 27 inf + 463648 3.941 * * [simplify]: Extracting #7: cost 0 inf + 473759 4.055 * [simplify]: Simplified to: (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) -2 -2 (- (+ (log N) (log N))) (- (+ (log N) (log N))) (- (+ (log N) (log N))) (- (+ (log N) (log N))) (- (+ (log N) (log N))) (exp (/ 1 (* N N))) (/ 1 (* (* (* N N) (* N N)) (* N N))) (* (/ (/ 1 (* N N)) (* N N)) (/ 1 (* N N))) (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (cbrt (/ 1 (* N N))) (* (/ 1 (* N N)) (* (/ 1 (* N N)) (/ 1 (* N N)))) (sqrt (/ 1 (* N N))) (sqrt (/ 1 (* N N))) (/ -1 N) (- N) (* (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N)) (/ (cbrt (/ 1 N)) (sqrt N)) (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (/ 1 N)) (/ (sqrt (/ 1 N)) N) (* (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* N (cbrt N))) (/ (/ (/ 1 (sqrt N)) (cbrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ 1 (* (sqrt N) N)) 1 (/ 1 (* N N)) (* (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* N (cbrt N))) (/ (/ (/ 1 (sqrt N)) (cbrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ 1 (* (sqrt N) N)) 1 (/ 1 (* N N)) (* (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (cbrt N)) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* (sqrt N) (* (cbrt N) (cbrt N)))) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ 1 (* N (cbrt N))) (/ (/ (/ 1 (sqrt N)) (cbrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ 1 (* (sqrt N) N)) 1 (/ 1 (* N N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ 1 (* (sqrt N) N)) 1 (/ 1 (* N N)) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ 1 (* (sqrt N) N)) 1 (/ 1 (* N N)) (/ 1 N) (* N N) (/ 1 (* (cbrt N) (* (cbrt N) N))) (/ 1 (* (sqrt N) N)) (/ 1 N) (/ N (cbrt (/ 1 N))) (/ N (sqrt (/ 1 N))) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N (cbrt N)) (* N (sqrt N)) (* N N) (* N N) (* N N) (* N N) (expm1 (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (log1p (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (log (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (log (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (log (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (log (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (log (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (log (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (exp (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (* (/ 1 (* (* (* N N) (* N N)) (* N N))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ (/ 1 (* N N)) (* N N)) (/ 1 (* N N))) (- (/ 0.3333333333333333 N) 0.5)) (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (* (- (/ 0.3333333333333333 N) 0.5) (* (/ 1 (* N N)) (* (/ 1 (* N N)) (/ 1 (* N N)))))) (* (cbrt (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (cbrt (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))) (cbrt (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (* (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (* (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))) (sqrt (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (sqrt (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (/ (- (* (/ 0.3333333333333333 N) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))) (* (* 0.5 0.5) 0.5)) N) (* N (fma (/ 0.3333333333333333 N) (/ 0.3333333333333333 N) (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))))) (/ (* (+ (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) N) (* (+ (/ 0.3333333333333333 N) 0.5) N) (* (sqrt (/ 1 (* N N))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (/ 1 (* N N))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) (/ (sqrt (/ 1 N)) (sqrt N))) (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) (/ (sqrt (/ 1 N)) (sqrt N))) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (* (/ 1 N) (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt 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0.3333333333333333)) (/ (cbrt 0.3333333333333333) N) (- 0.5))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (* (/ 1 (* N N)) (fma (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) N) (- 0.5))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- 0.5)) 1) (* N N)) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- 0.5)) 1) (* N N)) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- 0.5)) 1) (* N N)) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (* (fma (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) N) (- 0.5)) (/ 1 (* N N))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (* (fma (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) N) (- 0.5)) (/ 1 (* N N))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (* (fma (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) N) (- 0.5)) (/ 1 (* N N))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (* (fma (/ (/ 1 (cbrt N)) (cbrt N)) (/ 0.3333333333333333 (cbrt N)) (- 0.5)) (/ 1 (* N N))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (* (fma (/ (/ 1 (cbrt N)) (cbrt N)) (/ 0.3333333333333333 (cbrt N)) (- 0.5)) (/ 1 (* N N))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (* (fma (/ (/ 1 (cbrt N)) (cbrt N)) (/ 0.3333333333333333 (cbrt N)) (- 0.5)) (/ 1 (* N N))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma 0.3333333333333333 (/ 1 N) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma 0.3333333333333333 (/ 1 N) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma 0.3333333333333333 (/ 1 N) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (* 0.5 (- (/ 1 (* N N)))) (/ (* (/ 0.3333333333333333 N) (/ 1 N)) N) (* 0.5 (- (/ 1 (* N N)))) (/ (* (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) (cbrt (/ 0.3333333333333333 N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (cbrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- 0.5)) (/ 1 (* N N))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- 0.5)) (/ 1 (* N N))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (* (fma (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) (/ (cbrt 0.3333333333333333) (sqrt N)) (- 0.5)) (/ 1 (* N N))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) N) (- 0.5)) 1) (* N N)) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) N) (- 0.5)) 1) (* N N)) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) N) (- 0.5)) 1) (* N N)) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) (/ (sqrt 0.3333333333333333) (cbrt N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- 0.5)) 1) (* N N)) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- 0.5)) 1) (* N N)) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ (sqrt 0.3333333333333333) (sqrt N)) (/ (sqrt 0.3333333333333333) (sqrt N)) (- 0.5)) 1) (* N N)) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (* (fma (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) N) (- 0.5)) (/ 1 (* N N))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (* (fma (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) N) (- 0.5)) (/ 1 (* N N))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (* (fma (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) N) (- 0.5)) (/ 1 (* N N))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ (/ 1 (cbrt N)) (cbrt N)) (/ 0.3333333333333333 (cbrt N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ (/ 1 (cbrt N)) (cbrt N)) (/ 0.3333333333333333 (cbrt N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma (/ (/ 1 (cbrt N)) (cbrt N)) (/ 0.3333333333333333 (cbrt N)) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (* (/ 1 (* N N)) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- 0.5))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (* (/ 1 (* N N)) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- 0.5))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (* (/ 1 (* N N)) (fma (/ 1 (sqrt N)) (/ 0.3333333333333333 (sqrt N)) (- 0.5))) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma 0.3333333333333333 (/ 1 N) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma 0.3333333333333333 (/ 1 N) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (* (fma 0.3333333333333333 (/ 1 N) (- 0.5)) (/ 1 N)) N) (/ (* (fma 0.5 -1 0.5) 1) (* N N)) (/ (/ (* 0.3333333333333333 (/ 1 N)) N) N) (* 0.5 (- (/ 1 (* N N)))) (/ (/ (* 0.3333333333333333 (/ 1 N)) N) N) (* 0.5 (- (/ 1 (* N N)))) (/ (* (* (/ 1 N) (cbrt (- (/ 0.3333333333333333 N) 0.5))) (cbrt (- (/ 0.3333333333333333 N) 0.5))) N) (/ (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) N) (/ 1 (* N N)) (* (+ (sqrt 0.5) (sqrt (/ 0.3333333333333333 N))) (/ 1 (* N N))) (* (+ (sqrt 0.5) (/ (sqrt 0.3333333333333333) (sqrt N))) (/ 1 (* N N))) (/ 1 (* N N)) (* (- (/ 0.3333333333333333 N) 0.5) (cbrt (/ 1 (* N N)))) (* (sqrt (/ 1 (* N N))) (- (/ 0.3333333333333333 N) 0.5)) (* (- (/ 0.3333333333333333 N) 0.5) (/ (cbrt (/ 1 N)) (cbrt N))) (* (/ (cbrt (/ 1 N)) (sqrt N)) (- (/ 0.3333333333333333 N) 0.5)) (/ (* (cbrt (/ 1 N)) (- (/ 0.3333333333333333 N) 0.5)) N) (/ (* (- (/ 0.3333333333333333 N) 0.5) (sqrt (/ 1 N))) (cbrt N)) (* (- (/ 0.3333333333333333 N) 0.5) (/ (sqrt (/ 1 N)) (sqrt N))) (* (/ (sqrt (/ 1 N)) N) (- (/ 0.3333333333333333 N) 0.5)) (/ (* (- (/ 0.3333333333333333 N) 0.5) 1) (* (cbrt N) (cbrt N))) (/ (* (- (/ 0.3333333333333333 N) 0.5) 1) (* (sqrt N) (cbrt N))) (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (cbrt N))) N) (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (sqrt N))) (cbrt N)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (sqrt N))) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (cbrt N))) (cbrt N)) (/ (* (- (/ 0.3333333333333333 N) 0.5) 1) (* (sqrt N) (cbrt N))) (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (cbrt N))) N) (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (sqrt N))) (cbrt N)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (sqrt N))) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (cbrt N))) (cbrt N)) (/ (* (- (/ 0.3333333333333333 N) 0.5) 1) (* (sqrt N) (cbrt N))) (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (cbrt N))) N) (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (sqrt N))) (cbrt N)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (* (- (/ 0.3333333333333333 N) 0.5) (/ 1 (sqrt N))) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (cbrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) (sqrt N)) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (* (/ 1 N) (- (* (/ 0.3333333333333333 N) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))) (* (* 0.5 0.5) 0.5))) N) (* (/ 1 (* N N)) (* (+ (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5))) (/ (- (/ 0.3333333333333333 N) 0.5) N) (expm1 (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))) (log1p (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))) (/ 1.0 N) (log (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))) (exp (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))) (* (cbrt (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))) (cbrt (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)))) (cbrt (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))) (* (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (* (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)) (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N)))) (sqrt (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))) (sqrt (+ (/ 1.0 N) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N))) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* 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)) (- (/ 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)))) 4.086 * * * [progress]: adding candidates to table 5.466 * * [progress]: iteration 3 / 4 5.466 * * * [progress]: picking best candidate 5.482 * * * * [pick]: Picked # 5.482 * * * [progress]: localizing error 5.518 * * * [progress]: generating rewritten candidates 5.518 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.655 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 5.667 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 5.695 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 5.724 * * * [progress]: generating series expansions 5.724 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.724 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (* (* N N) N)) (- (/ 1.0 N) (/ 0.5 (* N N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 5.724 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 5.724 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 5.724 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 5.724 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 5.724 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.724 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.724 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.724 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.724 * [taylor]: Taking taylor expansion of N in N 5.724 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify 1 into 1 5.725 * [backup-simplify]: Simplify (* 1 1) into 1 5.726 * [backup-simplify]: Simplify (* 1 1) into 1 5.726 * [backup-simplify]: Simplify (/ 1 1) into 1 5.726 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 5.726 * [taylor]: Taking taylor expansion of 1.0 in N 5.726 * [backup-simplify]: Simplify 1.0 into 1.0 5.726 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.726 * [taylor]: Taking taylor expansion of N in N 5.726 * [backup-simplify]: Simplify 0 into 0 5.726 * [backup-simplify]: Simplify 1 into 1 5.726 * [backup-simplify]: Simplify (/ 1 1) into 1 5.726 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 5.726 * [taylor]: Taking taylor expansion of 0.5 in N 5.726 * [backup-simplify]: Simplify 0.5 into 0.5 5.726 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.726 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.726 * [taylor]: Taking taylor expansion of N in N 5.726 * [backup-simplify]: Simplify 0 into 0 5.726 * [backup-simplify]: Simplify 1 into 1 5.727 * [backup-simplify]: Simplify (* 1 1) into 1 5.727 * [backup-simplify]: Simplify (/ 1 1) into 1 5.727 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 5.727 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 5.727 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 5.727 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.727 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.727 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.727 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.727 * [taylor]: Taking taylor expansion of N in N 5.727 * [backup-simplify]: Simplify 0 into 0 5.727 * [backup-simplify]: Simplify 1 into 1 5.727 * [backup-simplify]: Simplify (* 1 1) into 1 5.728 * [backup-simplify]: Simplify (* 1 1) into 1 5.728 * [backup-simplify]: Simplify (/ 1 1) into 1 5.728 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 5.728 * [taylor]: Taking taylor expansion of 1.0 in N 5.728 * [backup-simplify]: Simplify 1.0 into 1.0 5.728 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.728 * [taylor]: Taking taylor expansion of N in N 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.728 * [backup-simplify]: Simplify (/ 1 1) into 1 5.728 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 5.728 * [taylor]: Taking taylor expansion of 0.5 in N 5.728 * [backup-simplify]: Simplify 0.5 into 0.5 5.728 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.728 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.728 * [taylor]: Taking taylor expansion of N in N 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.729 * [backup-simplify]: Simplify (* 1 1) into 1 5.729 * [backup-simplify]: Simplify (/ 1 1) into 1 5.729 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.730 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 5.730 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 5.730 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.733 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 5.733 * [backup-simplify]: Simplify (+ 0 0) into 0 5.734 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.734 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.735 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 5.735 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.739 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.739 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 5.740 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.742 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.742 * [backup-simplify]: Simplify (- 0) into 0 5.742 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.743 * [backup-simplify]: Simplify 1.0 into 1.0 5.743 * [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)))) 5.744 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (* (* (/ 1 N) (/ 1 N)) (/ 1 N))) (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N))))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 5.744 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 5.744 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 5.744 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 5.744 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.744 * [taylor]: Taking taylor expansion of 1.0 in N 5.744 * [backup-simplify]: Simplify 1.0 into 1.0 5.744 * [taylor]: Taking taylor expansion of N in N 5.744 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify 1 into 1 5.744 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.744 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.744 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.744 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.744 * [taylor]: Taking taylor expansion of N in N 5.744 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify 1 into 1 5.744 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.744 * [taylor]: Taking taylor expansion of 0.5 in N 5.744 * [backup-simplify]: Simplify 0.5 into 0.5 5.744 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.744 * [taylor]: Taking taylor expansion of N in N 5.744 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify 1 into 1 5.744 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 5.744 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 5.744 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.744 * [taylor]: Taking taylor expansion of 1.0 in N 5.744 * [backup-simplify]: Simplify 1.0 into 1.0 5.744 * [taylor]: Taking taylor expansion of N in N 5.744 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify 1 into 1 5.744 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.744 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.744 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.744 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.744 * [taylor]: Taking taylor expansion of N in N 5.744 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify 1 into 1 5.744 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.744 * [taylor]: Taking taylor expansion of 0.5 in N 5.744 * [backup-simplify]: Simplify 0.5 into 0.5 5.744 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.744 * [taylor]: Taking taylor expansion of N in N 5.744 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify 1 into 1 5.745 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.745 * [backup-simplify]: Simplify (+ 0 0) into 0 5.745 * [backup-simplify]: Simplify (+ 0 0) into 0 5.745 * [backup-simplify]: Simplify 0 into 0 5.746 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 5.746 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.747 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.747 * [backup-simplify]: Simplify 1.0 into 1.0 5.747 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 5.747 * [backup-simplify]: Simplify (+ 0 0) into 0 5.748 * [backup-simplify]: Simplify (* 1 1) into 1 5.748 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.748 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.749 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 5.749 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.750 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.750 * [backup-simplify]: Simplify (* 1 1) into 1 5.750 * [backup-simplify]: Simplify (* 1 1) into 1 5.750 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.751 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 5.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.751 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.752 * [backup-simplify]: Simplify (- 0) into 0 5.752 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 5.752 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.753 * [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)))) 5.753 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (* (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))) (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 5.753 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 5.753 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 5.753 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 5.753 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.753 * [taylor]: Taking taylor expansion of 0.5 in N 5.753 * [backup-simplify]: Simplify 0.5 into 0.5 5.753 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.753 * [taylor]: Taking taylor expansion of N in N 5.753 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify 1 into 1 5.753 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 5.753 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.753 * [taylor]: Taking taylor expansion of 1.0 in N 5.753 * [backup-simplify]: Simplify 1.0 into 1.0 5.753 * [taylor]: Taking taylor expansion of N in N 5.753 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify 1 into 1 5.754 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.754 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.754 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.754 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.754 * [taylor]: Taking taylor expansion of N in N 5.754 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify 1 into 1 5.754 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 5.754 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 5.754 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.754 * [taylor]: Taking taylor expansion of 0.5 in N 5.754 * [backup-simplify]: Simplify 0.5 into 0.5 5.754 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.754 * [taylor]: Taking taylor expansion of N in N 5.754 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify 1 into 1 5.754 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 5.754 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.754 * [taylor]: Taking taylor expansion of 1.0 in N 5.754 * [backup-simplify]: Simplify 1.0 into 1.0 5.754 * [taylor]: Taking taylor expansion of N in N 5.754 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify 1 into 1 5.754 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.754 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.754 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.754 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.754 * [taylor]: Taking taylor expansion of N in N 5.754 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify 1 into 1 5.754 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.755 * [backup-simplify]: Simplify (+ 0 0) into 0 5.755 * [backup-simplify]: Simplify (+ 0 0) into 0 5.755 * [backup-simplify]: Simplify (- 0) into 0 5.755 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 5.757 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.757 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.757 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.757 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.758 * [backup-simplify]: Simplify (* 1 1) into 1 5.758 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.759 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 5.759 * [backup-simplify]: Simplify (+ 0 0) into 0 5.759 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 5.759 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.760 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.761 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.761 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.762 * [backup-simplify]: Simplify (* 1 1) into 1 5.762 * [backup-simplify]: Simplify (* 1 1) into 1 5.762 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.763 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 5.763 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 5.763 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 5.764 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 5.765 * [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)))) 5.765 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 5.765 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 5.765 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 5.765 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 5.765 * [taylor]: Taking taylor expansion of 0.5 in N 5.765 * [backup-simplify]: Simplify 0.5 into 0.5 5.765 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.765 * [taylor]: Taking taylor expansion of N in N 5.765 * [backup-simplify]: Simplify 0 into 0 5.765 * [backup-simplify]: Simplify 1 into 1 5.765 * [backup-simplify]: Simplify (* 1 1) into 1 5.766 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 5.766 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 5.766 * [taylor]: Taking taylor expansion of 0.5 in N 5.766 * [backup-simplify]: Simplify 0.5 into 0.5 5.766 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.766 * [taylor]: Taking taylor expansion of N in N 5.766 * [backup-simplify]: Simplify 0 into 0 5.766 * [backup-simplify]: Simplify 1 into 1 5.766 * [backup-simplify]: Simplify (* 1 1) into 1 5.766 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 5.767 * [backup-simplify]: Simplify 0.5 into 0.5 5.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 5.767 * [backup-simplify]: Simplify 0 into 0 5.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.769 * [backup-simplify]: Simplify 0 into 0 5.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.770 * [backup-simplify]: Simplify 0 into 0 5.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.771 * [backup-simplify]: Simplify 0 into 0 5.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.774 * [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 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 5.774 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 5.774 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 5.774 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.774 * [taylor]: Taking taylor expansion of 0.5 in N 5.774 * [backup-simplify]: Simplify 0.5 into 0.5 5.774 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.774 * [taylor]: Taking taylor expansion of N in N 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [backup-simplify]: Simplify 1 into 1 5.775 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.775 * [taylor]: Taking taylor expansion of 0.5 in N 5.775 * [backup-simplify]: Simplify 0.5 into 0.5 5.775 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.775 * [taylor]: Taking taylor expansion of N in N 5.775 * [backup-simplify]: Simplify 0 into 0 5.775 * [backup-simplify]: Simplify 1 into 1 5.775 * [backup-simplify]: Simplify (* 1 1) into 1 5.775 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.775 * [backup-simplify]: Simplify 0.5 into 0.5 5.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.776 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.776 * [backup-simplify]: Simplify 0 into 0 5.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.777 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.777 * [backup-simplify]: Simplify 0 into 0 5.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.778 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.778 * [backup-simplify]: Simplify 0 into 0 5.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.780 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.780 * [backup-simplify]: Simplify 0 into 0 5.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.781 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.781 * [backup-simplify]: Simplify 0 into 0 5.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.784 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.784 * [backup-simplify]: Simplify 0 into 0 5.784 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 5.785 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 5.785 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 5.785 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.785 * [taylor]: Taking taylor expansion of 0.5 in N 5.785 * [backup-simplify]: Simplify 0.5 into 0.5 5.785 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.785 * [taylor]: Taking taylor expansion of N in N 5.785 * [backup-simplify]: Simplify 0 into 0 5.785 * [backup-simplify]: Simplify 1 into 1 5.785 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.785 * [taylor]: Taking taylor expansion of 0.5 in N 5.785 * [backup-simplify]: Simplify 0.5 into 0.5 5.785 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.785 * [taylor]: Taking taylor expansion of N in N 5.785 * [backup-simplify]: Simplify 0 into 0 5.785 * [backup-simplify]: Simplify 1 into 1 5.786 * [backup-simplify]: Simplify (* 1 1) into 1 5.786 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.786 * [backup-simplify]: Simplify 0.5 into 0.5 5.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.787 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.788 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.790 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.790 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.792 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.792 * [backup-simplify]: Simplify 0 into 0 5.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.794 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.794 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.797 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.797 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.801 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.801 * [backup-simplify]: Simplify 0 into 0 5.801 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 5.801 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 5.801 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* (* N N) N)) into (/ 0.3333333333333333 (pow N 3)) 5.801 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 5.801 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 5.801 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.801 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.801 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.801 * [taylor]: Taking taylor expansion of N in N 5.801 * [backup-simplify]: Simplify 0 into 0 5.801 * [backup-simplify]: Simplify 1 into 1 5.806 * [backup-simplify]: Simplify (* 1 1) into 1 5.806 * [backup-simplify]: Simplify (* 1 1) into 1 5.807 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 5.807 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 5.807 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.807 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.807 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.807 * [taylor]: Taking taylor expansion of N in N 5.807 * [backup-simplify]: Simplify 0 into 0 5.807 * [backup-simplify]: Simplify 1 into 1 5.807 * [backup-simplify]: Simplify (* 1 1) into 1 5.808 * [backup-simplify]: Simplify (* 1 1) into 1 5.808 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 5.808 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.814 * [backup-simplify]: Simplify 0 into 0 5.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.817 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.821 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.825 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.829 * [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 5.829 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 5.830 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* (* (/ 1 N) (/ 1 N)) (/ 1 N))) into (* 0.3333333333333333 (pow N 3)) 5.830 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 5.830 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.830 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.830 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.830 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.830 * [taylor]: Taking taylor expansion of N in N 5.830 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify 1 into 1 5.830 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.830 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.830 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.830 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.830 * [taylor]: Taking taylor expansion of N in N 5.830 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify 1 into 1 5.831 * [backup-simplify]: Simplify (* 1 1) into 1 5.831 * [backup-simplify]: Simplify (* 1 1) into 1 5.831 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.831 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.834 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 5.834 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.836 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.837 * [backup-simplify]: Simplify 0 into 0 5.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.840 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.840 * [backup-simplify]: Simplify 0 into 0 5.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.844 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.844 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.848 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.848 * [backup-simplify]: Simplify 0 into 0 5.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.853 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.853 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 5.853 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))) into (* -0.3333333333333333 (pow N 3)) 5.853 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 5.853 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 5.853 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 5.853 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.853 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.853 * [taylor]: Taking taylor expansion of N in N 5.853 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify 1 into 1 5.853 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 5.853 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 5.854 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.854 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.854 * [taylor]: Taking taylor expansion of N in N 5.854 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify 1 into 1 5.854 * [backup-simplify]: Simplify (* 1 1) into 1 5.854 * [backup-simplify]: Simplify (* 1 1) into 1 5.855 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 5.855 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.856 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 5.856 * [backup-simplify]: Simplify 0 into 0 5.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.857 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.857 * [backup-simplify]: Simplify 0 into 0 5.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.859 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.859 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.861 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.861 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.864 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.864 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.866 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.867 * [backup-simplify]: Simplify 0 into 0 5.867 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 5.867 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 5.867 * [backup-simplify]: Simplify (* (* N N) N) into (pow N 3) 5.867 * [approximate]: Taking taylor expansion of (pow N 3) in (N) around 0 5.867 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.867 * [taylor]: Taking taylor expansion of N in N 5.867 * [backup-simplify]: Simplify 0 into 0 5.867 * [backup-simplify]: Simplify 1 into 1 5.867 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.867 * [taylor]: Taking taylor expansion of N in N 5.867 * [backup-simplify]: Simplify 0 into 0 5.867 * [backup-simplify]: Simplify 1 into 1 5.867 * [backup-simplify]: Simplify (* 1 1) into 1 5.868 * [backup-simplify]: Simplify (* 1 1) into 1 5.868 * [backup-simplify]: Simplify 1 into 1 5.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.868 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.869 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.871 * [backup-simplify]: Simplify 0 into 0 5.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.872 * [backup-simplify]: Simplify 0 into 0 5.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.874 * [backup-simplify]: Simplify 0 into 0 5.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify (* 1 (pow N 3)) into (pow N 3) 5.876 * [backup-simplify]: Simplify (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) into (/ 1 (pow N 3)) 5.876 * [approximate]: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0 5.876 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.876 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.876 * [taylor]: Taking taylor expansion of N in N 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify 1 into 1 5.876 * [backup-simplify]: Simplify (* 1 1) into 1 5.876 * [backup-simplify]: Simplify (* 1 1) into 1 5.877 * [backup-simplify]: Simplify (/ 1 1) into 1 5.877 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.877 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.877 * [taylor]: Taking taylor expansion of N in N 5.877 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify 1 into 1 5.877 * [backup-simplify]: Simplify (* 1 1) into 1 5.877 * [backup-simplify]: Simplify (* 1 1) into 1 5.877 * [backup-simplify]: Simplify (/ 1 1) into 1 5.878 * [backup-simplify]: Simplify 1 into 1 5.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.880 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.882 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.885 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.889 * [backup-simplify]: Simplify 0 into 0 5.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.893 * [backup-simplify]: Simplify 0 into 0 5.893 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 N)) 3)) into (pow N 3) 5.894 * [backup-simplify]: Simplify (* (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))) into (/ -1 (pow N 3)) 5.894 * [approximate]: Taking taylor expansion of (/ -1 (pow N 3)) in (N) around 0 5.894 * [taylor]: Taking taylor expansion of (/ -1 (pow N 3)) in N 5.894 * [taylor]: Taking taylor expansion of -1 in N 5.894 * [backup-simplify]: Simplify -1 into -1 5.894 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.894 * [taylor]: Taking taylor expansion of N in N 5.894 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify 1 into 1 5.894 * [backup-simplify]: Simplify (* 1 1) into 1 5.895 * [backup-simplify]: Simplify (* 1 1) into 1 5.895 * [backup-simplify]: Simplify (/ -1 1) into -1 5.895 * [taylor]: Taking taylor expansion of (/ -1 (pow N 3)) in N 5.895 * [taylor]: Taking taylor expansion of -1 in N 5.895 * [backup-simplify]: Simplify -1 into -1 5.895 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.895 * [taylor]: Taking taylor expansion of N in N 5.895 * [backup-simplify]: Simplify 0 into 0 5.895 * [backup-simplify]: Simplify 1 into 1 5.895 * [backup-simplify]: Simplify (* 1 1) into 1 5.896 * [backup-simplify]: Simplify (* 1 1) into 1 5.896 * [backup-simplify]: Simplify (/ -1 1) into -1 5.896 * [backup-simplify]: Simplify -1 into -1 5.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.901 * [backup-simplify]: Simplify 0 into 0 5.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.905 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.908 * [backup-simplify]: Simplify 0 into 0 5.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.911 * [backup-simplify]: Simplify 0 into 0 5.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.914 * [backup-simplify]: Simplify 0 into 0 5.914 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- N))) 3)) into (pow N 3) 5.914 * * * [progress]: simplifying candidates 5.918 * [simplify]: Simplifying: (expm1 (+ (/ 0.3333333333333333 (* (* N N) N)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (log1p (+ (/ 0.3333333333333333 (* (* N N) 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(* N N) N)) (* (* N N) N)) (* (* (* (* N N) (* N N)) (* N N)) (* (* N N) N)) (* (cbrt (* (* N N) N)) (cbrt (* (* N N) N))) (cbrt (* (* N N) N)) (* (* (* (* N N) N) (* (* N N) N)) (* (* N N) N)) (sqrt (* (* N N) N)) (sqrt (* (* N N) N)) (* N (sqrt N)) (* N (sqrt N)) (* (* N N) (* (cbrt N) (cbrt N))) (* (* N N) (sqrt N)) (* (* N N) 1) (* 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)) (pow N 3) (pow N 3) (pow N 3) 5.923 * * [simplify]: iteration 0: 385 enodes 6.051 * * [simplify]: iteration 1: 985 enodes 6.486 * * [simplify]: iteration complete: 5000 enodes 6.487 * * [simplify]: Extracting #0: cost 105 inf + 0 6.489 * * [simplify]: Extracting #1: cost 1170 inf + 1343 6.503 * * [simplify]: Extracting #2: cost 1846 inf + 32028 6.546 * * [simplify]: Extracting #3: cost 1186 inf + 136005 6.615 * * [simplify]: Extracting #4: cost 305 inf + 314307 6.715 * * [simplify]: Extracting #5: cost 18 inf + 396719 6.831 * * [simplify]: Extracting #6: cost 0 inf + 401788 6.957 * * [simplify]: Extracting #7: cost 0 inf + 401552 7.111 * [simplify]: Simplified to: (expm1 (- (+ (/ 0.3333333333333333 (* (* N N) N)) (/ 1.0 N)) (/ 0.5 (* N N)))) (log1p (- (+ (/ 0.3333333333333333 (* (* N N) N)) (/ 1.0 N)) (/ 0.5 (* N N)))) (exp (+ (/ 0.3333333333333333 (* (* N N) N)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (+ (/ 0.3333333333333333 (* (* N N) N)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (log (- (+ (/ 0.3333333333333333 (* (* N N) N)) (/ 1.0 N)) (/ 0.5 (* N N)))) (exp (+ (/ 0.3333333333333333 (* (* N N) N)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (cbrt (- (+ (/ 0.3333333333333333 (* (* N N) N)) (/ 1.0 N)) (/ 0.5 (* N N)))) (cbrt (- (+ (/ 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(* 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))) (+ (/ 1.0 N) (/ 0.3333333333333333 (* (* N N) N))) (+ (/ 1.0 N) (/ 0.3333333333333333 (* (* N N) N))) (expm1 (/ 0.5 (* N N))) (log1p (/ 0.5 (* 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) (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 (/ (cbrt 0.5) N)) (/ N (/ (sqrt 0.5) N)) (/ (* N N) 0.5) (expm1 (/ 0.3333333333333333 (* (* N N) N))) (log1p (/ 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)))) (* (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)) (/ (cbrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (sqrt 0.3333333333333333) N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ (/ 1 (* N N)) N) (/ (* N N) (/ 0.3333333333333333 N)) (/ (/ 0.3333333333333333 N) N) (/ N (/ (/ (cbrt 0.3333333333333333) N) N)) (/ (* (* N N) N) (sqrt 0.3333333333333333)) (/ (* N N) (/ 0.3333333333333333 N)) (expm1 (* (* N N) N)) (log1p (* (* N N) N)) 3 3 3 3 (* (* N N) N) (* (* N N) N) 3 3 3 3 (* 3 (log N)) (* 3 (log N)) (* 3 (log N)) (exp (* (* N N) N)) (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N))) (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N))) (* N N) N (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N))) (sqrt (* (* N N) N)) (sqrt (* (* N N) N)) (* (sqrt N) N) (* (sqrt N) N) (* (* N (cbrt N)) (* N (cbrt N))) (* N (* N (sqrt N))) (* N 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))) (- (+ (/ 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)) (* (* N N) N) (* (* N N) N) (* (* N N) N) 7.134 * * * [progress]: adding candidates to table 8.154 * * [progress]: iteration 4 / 4 8.154 * * * [progress]: picking best candidate 8.163 * * * * [pick]: Picked # 8.163 * * * [progress]: localizing error 8.256 * * * [progress]: generating rewritten candidates 8.257 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.257 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.305 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 8.309 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2) 8.316 * * * [progress]: generating series expansions 8.316 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.317 * [backup-simplify]: Simplify (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5)) into (fma (- (/ 1 (pow N 2))) 0.5 (/ 0.5 (pow N 2))) 8.317 * [approximate]: Taking taylor expansion of (fma (- (/ 1 (pow N 2))) 0.5 (/ 0.5 (pow N 2))) in (N) around 0 8.317 * [taylor]: Taking taylor expansion of (fma (- (/ 1 (pow N 2))) 0.5 (/ 0.5 (pow N 2))) in N 8.317 * [taylor]: Rewrote expression to (+ (* (- (/ 1 (pow N 2))) 0.5) (/ 0.5 (pow N 2))) 8.317 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow N 2))) 0.5) in N 8.317 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2))) in N 8.317 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.317 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.317 * [taylor]: Taking taylor expansion of N in N 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 1 into 1 8.318 * [backup-simplify]: Simplify (* 1 1) into 1 8.318 * [backup-simplify]: Simplify (/ 1 1) into 1 8.318 * [taylor]: Taking taylor expansion of 0.5 in N 8.319 * [backup-simplify]: Simplify 0.5 into 0.5 8.319 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 8.319 * [taylor]: Taking taylor expansion of 0.5 in N 8.319 * [backup-simplify]: Simplify 0.5 into 0.5 8.319 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.319 * [taylor]: Taking taylor expansion of N in N 8.319 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify 1 into 1 8.319 * [backup-simplify]: Simplify (* 1 1) into 1 8.320 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 8.320 * [taylor]: Taking taylor expansion of (fma (- (/ 1 (pow N 2))) 0.5 (/ 0.5 (pow N 2))) in N 8.320 * [taylor]: Rewrote expression to (+ (* (- (/ 1 (pow N 2))) 0.5) (/ 0.5 (pow N 2))) 8.320 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow N 2))) 0.5) in N 8.320 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2))) in N 8.320 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.320 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.320 * [taylor]: Taking taylor expansion of N in N 8.320 * [backup-simplify]: Simplify 0 into 0 8.320 * [backup-simplify]: Simplify 1 into 1 8.320 * [backup-simplify]: Simplify (* 1 1) into 1 8.321 * [backup-simplify]: Simplify (/ 1 1) into 1 8.321 * [taylor]: Taking taylor expansion of 0.5 in N 8.321 * [backup-simplify]: Simplify 0.5 into 0.5 8.321 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 8.321 * [taylor]: Taking taylor expansion of 0.5 in N 8.321 * [backup-simplify]: Simplify 0.5 into 0.5 8.321 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.321 * [taylor]: Taking taylor expansion of N in N 8.321 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify 1 into 1 8.321 * [backup-simplify]: Simplify (* 1 1) into 1 8.322 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 8.322 * [backup-simplify]: Simplify (- 1) into -1 8.323 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 8.323 * [backup-simplify]: Simplify (+ -0.5 0.5) into 0 8.323 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify (- 1) into -1 8.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.326 * [backup-simplify]: Simplify (- 0) into 0 8.326 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0.5)) into 0 8.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 8.328 * [backup-simplify]: Simplify (+ 0 0) into 0 8.328 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify (- 1) into -1 8.329 * [backup-simplify]: Simplify (- 0) into 0 8.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.331 * [backup-simplify]: Simplify (- 0) into 0 8.332 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 0.5))) into 0 8.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.335 * [backup-simplify]: Simplify (+ 0 0) into 0 8.335 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify (- 1) into -1 8.336 * [backup-simplify]: Simplify (- 0) into 0 8.336 * [backup-simplify]: Simplify (- 0) into 0 8.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.339 * [backup-simplify]: Simplify (- 0) into 0 8.340 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))) into 0 8.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.343 * [backup-simplify]: Simplify (+ 0 0) into 0 8.343 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify (- 1) into -1 8.344 * [backup-simplify]: Simplify (- 0) into 0 8.344 * [backup-simplify]: Simplify (- 0) into 0 8.344 * [backup-simplify]: Simplify (- 0) into 0 8.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.347 * [backup-simplify]: Simplify (- 0) into 0 8.347 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5))))) into 0 8.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.349 * [backup-simplify]: Simplify (+ 0 0) into 0 8.349 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify (- 1) into -1 8.350 * [backup-simplify]: Simplify (- 0) into 0 8.350 * [backup-simplify]: Simplify (- 0) into 0 8.350 * [backup-simplify]: Simplify (- 0) into 0 8.350 * [backup-simplify]: Simplify (- 0) into 0 8.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.352 * [backup-simplify]: Simplify (- 0) into 0 8.353 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))))) into 0 8.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.354 * [backup-simplify]: Simplify (+ 0 0) into 0 8.355 * [backup-simplify]: Simplify 0 into 0 8.355 * [backup-simplify]: Simplify 0 into 0 8.355 * [backup-simplify]: Simplify (fma (- (/ 1 (* (/ 1 N) (/ 1 N)))) 0.5 (* (/ 1 (* (/ 1 N) (/ 1 N))) 0.5)) into (fma (- (pow N 2)) 0.5 (* 0.5 (pow N 2))) 8.355 * [approximate]: Taking taylor expansion of (fma (- (pow N 2)) 0.5 (* 0.5 (pow N 2))) in (N) around 0 8.355 * [taylor]: Taking taylor expansion of (fma (- (pow N 2)) 0.5 (* 0.5 (pow N 2))) in N 8.355 * [taylor]: Rewrote expression to (+ (* (- (pow N 2)) 0.5) (* 0.5 (pow N 2))) 8.355 * [taylor]: Taking taylor expansion of (* (- (pow N 2)) 0.5) in N 8.355 * [taylor]: Taking taylor expansion of (- (pow N 2)) in N 8.355 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.355 * [taylor]: Taking taylor expansion of N in N 8.355 * [backup-simplify]: Simplify 0 into 0 8.355 * [backup-simplify]: Simplify 1 into 1 8.355 * [taylor]: Taking taylor expansion of 0.5 in N 8.355 * [backup-simplify]: Simplify 0.5 into 0.5 8.355 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.355 * [taylor]: Taking taylor expansion of 0.5 in N 8.355 * [backup-simplify]: Simplify 0.5 into 0.5 8.355 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.355 * [taylor]: Taking taylor expansion of N in N 8.355 * [backup-simplify]: Simplify 0 into 0 8.355 * [backup-simplify]: Simplify 1 into 1 8.355 * [taylor]: Taking taylor expansion of (fma (- (pow N 2)) 0.5 (* 0.5 (pow N 2))) in N 8.355 * [taylor]: Rewrote expression to (+ (* (- (pow N 2)) 0.5) (* 0.5 (pow N 2))) 8.355 * [taylor]: Taking taylor expansion of (* (- (pow N 2)) 0.5) in N 8.355 * [taylor]: Taking taylor expansion of (- (pow N 2)) in N 8.355 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.355 * [taylor]: Taking taylor expansion of N in N 8.355 * [backup-simplify]: Simplify 0 into 0 8.355 * [backup-simplify]: Simplify 1 into 1 8.356 * [taylor]: Taking taylor expansion of 0.5 in N 8.356 * [backup-simplify]: Simplify 0.5 into 0.5 8.356 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.356 * [taylor]: Taking taylor expansion of 0.5 in N 8.356 * [backup-simplify]: Simplify 0.5 into 0.5 8.356 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.356 * [taylor]: Taking taylor expansion of N in N 8.356 * [backup-simplify]: Simplify 0 into 0 8.356 * [backup-simplify]: Simplify 1 into 1 8.356 * [backup-simplify]: Simplify (* 1 1) into 1 8.356 * [backup-simplify]: Simplify (- 1) into -1 8.356 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 8.357 * [backup-simplify]: Simplify (* 1 1) into 1 8.357 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.357 * [backup-simplify]: Simplify (+ -0.5 0.5) into 0 8.357 * [backup-simplify]: Simplify 0 into 0 8.358 * [backup-simplify]: Simplify (- 1) into -1 8.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.358 * [backup-simplify]: Simplify (- 0) into 0 8.359 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0.5)) into 0 8.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.360 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.360 * [backup-simplify]: Simplify (+ 0 0) into 0 8.360 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify (- 1) into -1 8.360 * [backup-simplify]: Simplify (- 0) into 0 8.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.361 * [backup-simplify]: Simplify (- 0) into 0 8.362 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 0.5))) into 0 8.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.363 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 8.363 * [backup-simplify]: Simplify (+ 0 0) into 0 8.363 * [backup-simplify]: Simplify 0 into 0 8.364 * [backup-simplify]: Simplify (- 1) into -1 8.364 * [backup-simplify]: Simplify (- 0) into 0 8.364 * [backup-simplify]: Simplify (- 0) into 0 8.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.365 * [backup-simplify]: Simplify (- 0) into 0 8.366 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))) into 0 8.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.367 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.367 * [backup-simplify]: Simplify (+ 0 0) into 0 8.367 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify (- 1) into -1 8.368 * [backup-simplify]: Simplify (- 0) into 0 8.368 * [backup-simplify]: Simplify (- 0) into 0 8.368 * [backup-simplify]: Simplify (- 0) into 0 8.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.369 * [backup-simplify]: Simplify (- 0) into 0 8.370 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5))))) into 0 8.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.371 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.371 * [backup-simplify]: Simplify (+ 0 0) into 0 8.371 * [backup-simplify]: Simplify 0 into 0 8.372 * [backup-simplify]: Simplify (- 1) into -1 8.372 * [backup-simplify]: Simplify (- 0) into 0 8.372 * [backup-simplify]: Simplify (- 0) into 0 8.372 * [backup-simplify]: Simplify (- 0) into 0 8.373 * [backup-simplify]: Simplify (- 0) into 0 8.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.374 * [backup-simplify]: Simplify (- 0) into 0 8.374 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))))) into 0 8.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.376 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.376 * [backup-simplify]: Simplify (+ 0 0) into 0 8.376 * [backup-simplify]: Simplify 0 into 0 8.376 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify (fma (- (/ 1 (* (/ 1 (- N)) (/ 1 (- N))))) 0.5 (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) 0.5)) into (fma (- (pow N 2)) 0.5 (* 0.5 (pow N 2))) 8.377 * [approximate]: Taking taylor expansion of (fma (- (pow N 2)) 0.5 (* 0.5 (pow N 2))) in (N) around 0 8.377 * [taylor]: Taking taylor expansion of (fma (- (pow N 2)) 0.5 (* 0.5 (pow N 2))) in N 8.377 * [taylor]: Rewrote expression to (+ (* (- (pow N 2)) 0.5) (* 0.5 (pow N 2))) 8.377 * [taylor]: Taking taylor expansion of (* (- (pow N 2)) 0.5) in N 8.377 * [taylor]: Taking taylor expansion of (- (pow N 2)) in N 8.377 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.377 * [taylor]: Taking taylor expansion of N in N 8.377 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify 1 into 1 8.377 * [taylor]: Taking taylor expansion of 0.5 in N 8.377 * [backup-simplify]: Simplify 0.5 into 0.5 8.377 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.377 * [taylor]: Taking taylor expansion of 0.5 in N 8.377 * [backup-simplify]: Simplify 0.5 into 0.5 8.377 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.377 * [taylor]: Taking taylor expansion of N in N 8.377 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify 1 into 1 8.377 * [taylor]: Taking taylor expansion of (fma (- (pow N 2)) 0.5 (* 0.5 (pow N 2))) in N 8.377 * [taylor]: Rewrote expression to (+ (* (- (pow N 2)) 0.5) (* 0.5 (pow N 2))) 8.377 * [taylor]: Taking taylor expansion of (* (- (pow N 2)) 0.5) in N 8.377 * [taylor]: Taking taylor expansion of (- (pow N 2)) in N 8.377 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.377 * [taylor]: Taking taylor expansion of N in N 8.377 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify 1 into 1 8.377 * [taylor]: Taking taylor expansion of 0.5 in N 8.377 * [backup-simplify]: Simplify 0.5 into 0.5 8.377 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.377 * [taylor]: Taking taylor expansion of 0.5 in N 8.377 * [backup-simplify]: Simplify 0.5 into 0.5 8.377 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.377 * [taylor]: Taking taylor expansion of N in N 8.377 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify 1 into 1 8.378 * [backup-simplify]: Simplify (* 1 1) into 1 8.378 * [backup-simplify]: Simplify (- 1) into -1 8.378 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 8.378 * [backup-simplify]: Simplify (* 1 1) into 1 8.379 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.379 * [backup-simplify]: Simplify (+ -0.5 0.5) into 0 8.379 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify (- 1) into -1 8.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.380 * [backup-simplify]: Simplify (- 0) into 0 8.380 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0.5)) into 0 8.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.381 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.381 * [backup-simplify]: Simplify (+ 0 0) into 0 8.381 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify (- 1) into -1 8.382 * [backup-simplify]: Simplify (- 0) into 0 8.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.386 * [backup-simplify]: Simplify (- 0) into 0 8.387 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 0.5))) into 0 8.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.388 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 8.388 * [backup-simplify]: Simplify (+ 0 0) into 0 8.388 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify (- 1) into -1 8.389 * [backup-simplify]: Simplify (- 0) into 0 8.389 * [backup-simplify]: Simplify (- 0) into 0 8.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.390 * [backup-simplify]: Simplify (- 0) into 0 8.391 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))) into 0 8.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.392 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.392 * [backup-simplify]: Simplify (+ 0 0) into 0 8.392 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify (- 1) into -1 8.393 * [backup-simplify]: Simplify (- 0) into 0 8.393 * [backup-simplify]: Simplify (- 0) into 0 8.393 * [backup-simplify]: Simplify (- 0) into 0 8.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.394 * [backup-simplify]: Simplify (- 0) into 0 8.395 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5))))) into 0 8.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.396 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.396 * [backup-simplify]: Simplify (+ 0 0) into 0 8.396 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify (- 1) into -1 8.397 * [backup-simplify]: Simplify (- 0) into 0 8.397 * [backup-simplify]: Simplify (- 0) into 0 8.397 * [backup-simplify]: Simplify (- 0) into 0 8.398 * [backup-simplify]: Simplify (- 0) into 0 8.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.399 * [backup-simplify]: Simplify (- 0) into 0 8.400 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))))) into 0 8.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.403 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.404 * [backup-simplify]: Simplify (+ 0 0) into 0 8.404 * [backup-simplify]: Simplify 0 into 0 8.404 * [backup-simplify]: Simplify 0 into 0 8.404 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.405 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (* (* N N) N)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5)))) into (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (fma (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt 1.0) 2)) (* (pow (/ 1 N) 1/3) (cbrt 1.0)) (- (* 0.5 (/ 1 (pow N 2)))))) 8.405 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (fma (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt 1.0) 2)) (* (pow (/ 1 N) 1/3) (cbrt 1.0)) (- (* 0.5 (/ 1 (pow N 2)))))) in (N) around 0 8.405 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (fma (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt 1.0) 2)) (* (pow (/ 1 N) 1/3) (cbrt 1.0)) (- (* 0.5 (/ 1 (pow N 2)))))) in N 8.405 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 8.405 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.405 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.405 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.405 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.405 * [taylor]: Taking taylor expansion of N in N 8.405 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify 1 into 1 8.405 * [backup-simplify]: Simplify (* 1 1) into 1 8.406 * [backup-simplify]: Simplify (* 1 1) into 1 8.406 * [backup-simplify]: Simplify (/ 1 1) into 1 8.406 * [taylor]: Taking taylor expansion of (fma (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt 1.0) 2)) (* (pow (/ 1 N) 1/3) (cbrt 1.0)) (- (* 0.5 (/ 1 (pow N 2))))) in N 8.406 * [taylor]: Rewrote expression to (+ (* (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt 1.0) 2)) (* (pow (/ 1 N) 1/3) (cbrt 1.0))) (- (* 0.5 (/ 1 (pow N 2))))) 8.406 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt 1.0) 2)) (* (pow (/ 1 N) 1/3) (cbrt 1.0))) in N 8.406 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt 1.0) 2)) in N 8.406 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 8.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 8.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 8.407 * [taylor]: Taking taylor expansion of 1/3 in N 8.407 * [backup-simplify]: Simplify 1/3 into 1/3 8.407 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 8.407 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.407 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.407 * [taylor]: Taking taylor expansion of N in N 8.407 * [backup-simplify]: Simplify 0 into 0 8.407 * [backup-simplify]: Simplify 1 into 1 8.407 * [backup-simplify]: Simplify (* 1 1) into 1 8.407 * [backup-simplify]: Simplify (/ 1 1) into 1 8.408 * [backup-simplify]: Simplify (log 1) into 0 8.408 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.409 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.409 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.409 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 2) in N 8.409 * [taylor]: Taking taylor expansion of (cbrt 1.0) in N 8.409 * [taylor]: Taking taylor expansion of 1.0 in N 8.409 * [backup-simplify]: Simplify 1.0 into 1.0 8.409 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 8.410 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 8.410 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt 1.0)) in N 8.410 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.410 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.410 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.410 * [taylor]: Taking taylor expansion of 1/3 in N 8.410 * [backup-simplify]: Simplify 1/3 into 1/3 8.410 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.410 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.410 * [taylor]: Taking taylor expansion of N in N 8.410 * [backup-simplify]: Simplify 0 into 0 8.410 * [backup-simplify]: Simplify 1 into 1 8.411 * [backup-simplify]: Simplify (/ 1 1) into 1 8.411 * [backup-simplify]: Simplify (log 1) into 0 8.411 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.411 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.411 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.411 * [taylor]: Taking taylor expansion of (cbrt 1.0) in N 8.411 * [taylor]: Taking taylor expansion of 1.0 in N 8.411 * [backup-simplify]: Simplify 1.0 into 1.0 8.412 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 8.412 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 8.412 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2)))) in N 8.412 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.412 * [taylor]: Taking taylor expansion of 0.5 in N 8.412 * [backup-simplify]: Simplify 0.5 into 0.5 8.412 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.412 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.412 * [taylor]: Taking taylor expansion of N in N 8.412 * [backup-simplify]: Simplify 0 into 0 8.412 * [backup-simplify]: Simplify 1 into 1 8.412 * [backup-simplify]: Simplify (* 1 1) into 1 8.413 * [backup-simplify]: Simplify (/ 1 1) into 1 8.413 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (fma (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt 1.0) 2)) (* (pow (/ 1 N) 1/3) (cbrt 1.0)) (- (* 0.5 (/ 1 (pow N 2)))))) in N 8.413 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 8.413 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.413 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.413 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.413 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.413 * [taylor]: Taking taylor expansion of N in N 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 1 into 1 8.413 * [backup-simplify]: Simplify (* 1 1) into 1 8.413 * [backup-simplify]: Simplify (* 1 1) into 1 8.413 * [backup-simplify]: Simplify (/ 1 1) into 1 8.414 * [taylor]: Taking taylor expansion of (fma (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt 1.0) 2)) (* (pow (/ 1 N) 1/3) (cbrt 1.0)) (- (* 0.5 (/ 1 (pow N 2))))) in N 8.414 * [taylor]: Rewrote expression to (+ (* (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt 1.0) 2)) (* (pow (/ 1 N) 1/3) (cbrt 1.0))) (- (* 0.5 (/ 1 (pow N 2))))) 8.414 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt 1.0) 2)) (* (pow (/ 1 N) 1/3) (cbrt 1.0))) in N 8.414 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt 1.0) 2)) in N 8.414 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow N 2)) 1/3) in N 8.414 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 2))))) in N 8.414 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 2)))) in N 8.414 * [taylor]: Taking taylor expansion of 1/3 in N 8.414 * [backup-simplify]: Simplify 1/3 into 1/3 8.414 * [taylor]: Taking taylor expansion of (log (/ 1 (pow N 2))) in N 8.414 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.414 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.414 * [taylor]: Taking taylor expansion of N in N 8.414 * [backup-simplify]: Simplify 0 into 0 8.414 * [backup-simplify]: Simplify 1 into 1 8.414 * [backup-simplify]: Simplify (* 1 1) into 1 8.414 * [backup-simplify]: Simplify (/ 1 1) into 1 8.415 * [backup-simplify]: Simplify (log 1) into 0 8.415 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 8.415 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 8.415 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 8.415 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 2) in N 8.415 * [taylor]: Taking taylor expansion of (cbrt 1.0) in N 8.415 * [taylor]: Taking taylor expansion of 1.0 in N 8.415 * [backup-simplify]: Simplify 1.0 into 1.0 8.415 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 8.416 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 8.416 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt 1.0)) in N 8.416 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.416 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.416 * [taylor]: Taking taylor expansion of 1/3 in N 8.416 * [backup-simplify]: Simplify 1/3 into 1/3 8.416 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.416 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.416 * [taylor]: Taking taylor expansion of N in N 8.416 * [backup-simplify]: Simplify 0 into 0 8.416 * [backup-simplify]: Simplify 1 into 1 8.416 * [backup-simplify]: Simplify (/ 1 1) into 1 8.416 * [backup-simplify]: Simplify (log 1) into 0 8.417 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.417 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.417 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.417 * [taylor]: Taking taylor expansion of (cbrt 1.0) in N 8.417 * [taylor]: Taking taylor expansion of 1.0 in N 8.417 * [backup-simplify]: Simplify 1.0 into 1.0 8.417 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 8.418 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 8.418 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2)))) in N 8.418 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.418 * [taylor]: Taking taylor expansion of 0.5 in N 8.418 * [backup-simplify]: Simplify 0.5 into 0.5 8.418 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.418 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.418 * [taylor]: Taking taylor expansion of N in N 8.418 * [backup-simplify]: Simplify 0 into 0 8.418 * [backup-simplify]: Simplify 1 into 1 8.418 * [backup-simplify]: Simplify (* 1 1) into 1 8.418 * [backup-simplify]: Simplify (/ 1 1) into 1 8.419 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.419 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.419 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.421 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 8.421 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.421 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.422 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.422 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.422 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.425 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 8.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.426 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.427 * [backup-simplify]: Simplify (- 0) into 0 8.427 * [backup-simplify]: Simplify (+ 0 0) into 0 8.427 * [backup-simplify]: Simplify (+ 0 0) into 0 8.427 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.430 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.430 * [backup-simplify]: Simplify (* (cbrt 1.0) (cbrt 1.0)) into (pow (cbrt 1.0) 2) 8.431 * [backup-simplify]: Simplify (* (pow N -2/3) (pow (cbrt 1.0) 2)) into (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt 1.0) 2)) 8.432 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt 1.0)) into (* (pow (/ 1 N) 1/3) (cbrt 1.0)) 8.433 * [backup-simplify]: Simplify (* (* (pow (/ 1 (pow N 2)) 1/3) (pow (cbrt 1.0) 2)) (* (pow (/ 1 N) 1/3) (cbrt 1.0))) into (/ (pow (cbrt 1.0) 3) N) 8.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.434 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 8.435 * [backup-simplify]: Simplify (- 0) into 0 8.435 * [backup-simplify]: Simplify (+ (/ (pow (cbrt 1.0) 3) N) 0) into (* 1.0 (/ 1 N)) 8.435 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 N))) into (* 1.0 (/ 1 N)) 8.435 * [backup-simplify]: Simplify (* 1.0 (/ 1 N)) into (/ 1.0 N) 8.436 * [backup-simplify]: Simplify (+ (/ 1.0 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)))) 8.437 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (* (* (/ 1 N) (/ 1 N)) (/ 1 N))) (fma (* (cbrt (/ 1.0 (/ 1 N))) (cbrt (/ 1.0 (/ 1 N)))) (cbrt (/ 1.0 (/ 1 N))) (- (* (/ 1 (* (/ 1 N) (/ 1 N))) 0.5)))) into (+ (fma (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) (* (pow N 1/3) (cbrt 1.0)) (- (* 0.5 (pow N 2)))) (* 0.3333333333333333 (pow N 3))) 8.437 * [approximate]: Taking taylor expansion of (+ (fma (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) (* (pow N 1/3) (cbrt 1.0)) (- (* 0.5 (pow N 2)))) (* 0.3333333333333333 (pow N 3))) in (N) around 0 8.437 * [taylor]: Taking taylor expansion of (+ (fma (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) (* (pow N 1/3) (cbrt 1.0)) (- (* 0.5 (pow N 2)))) (* 0.3333333333333333 (pow N 3))) in N 8.437 * [taylor]: Taking taylor expansion of (fma (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) (* (pow N 1/3) (cbrt 1.0)) (- (* 0.5 (pow N 2)))) in N 8.437 * [taylor]: Rewrote expression to (+ (* (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) (* (pow N 1/3) (cbrt 1.0))) (- (* 0.5 (pow N 2)))) 8.437 * [taylor]: Taking taylor expansion of (* (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) (* (pow N 1/3) (cbrt 1.0))) in N 8.437 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) in N 8.437 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 8.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 8.437 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 8.437 * [taylor]: Taking taylor expansion of 1/3 in N 8.437 * [backup-simplify]: Simplify 1/3 into 1/3 8.437 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 8.437 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.437 * [taylor]: Taking taylor expansion of N in N 8.437 * [backup-simplify]: Simplify 0 into 0 8.437 * [backup-simplify]: Simplify 1 into 1 8.437 * [backup-simplify]: Simplify (* 1 1) into 1 8.437 * [backup-simplify]: Simplify (log 1) into 0 8.438 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 8.438 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 8.438 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 8.438 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 2) in N 8.438 * [taylor]: Taking taylor expansion of (cbrt 1.0) in N 8.438 * [taylor]: Taking taylor expansion of 1.0 in N 8.438 * [backup-simplify]: Simplify 1.0 into 1.0 8.438 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 8.439 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 8.439 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (cbrt 1.0)) in N 8.439 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 8.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 8.439 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 8.439 * [taylor]: Taking taylor expansion of 1/3 in N 8.439 * [backup-simplify]: Simplify 1/3 into 1/3 8.439 * [taylor]: Taking taylor expansion of (log N) in N 8.439 * [taylor]: Taking taylor expansion of N in N 8.439 * [backup-simplify]: Simplify 0 into 0 8.439 * [backup-simplify]: Simplify 1 into 1 8.439 * [backup-simplify]: Simplify (log 1) into 0 8.439 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.439 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.439 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.439 * [taylor]: Taking taylor expansion of (cbrt 1.0) in N 8.439 * [taylor]: Taking taylor expansion of 1.0 in N 8.439 * [backup-simplify]: Simplify 1.0 into 1.0 8.440 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 8.440 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 8.440 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2))) in N 8.440 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.440 * [taylor]: Taking taylor expansion of 0.5 in N 8.440 * [backup-simplify]: Simplify 0.5 into 0.5 8.440 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.440 * [taylor]: Taking taylor expansion of N in N 8.440 * [backup-simplify]: Simplify 0 into 0 8.440 * [backup-simplify]: Simplify 1 into 1 8.440 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.440 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.440 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.440 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.440 * [taylor]: Taking taylor expansion of N in N 8.440 * [backup-simplify]: Simplify 0 into 0 8.440 * [backup-simplify]: Simplify 1 into 1 8.440 * [taylor]: Taking taylor expansion of (+ (fma (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) (* (pow N 1/3) (cbrt 1.0)) (- (* 0.5 (pow N 2)))) (* 0.3333333333333333 (pow N 3))) in N 8.441 * [taylor]: Taking taylor expansion of (fma (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) (* (pow N 1/3) (cbrt 1.0)) (- (* 0.5 (pow N 2)))) in N 8.441 * [taylor]: Rewrote expression to (+ (* (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) (* (pow N 1/3) (cbrt 1.0))) (- (* 0.5 (pow N 2)))) 8.441 * [taylor]: Taking taylor expansion of (* (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) (* (pow N 1/3) (cbrt 1.0))) in N 8.441 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) in N 8.441 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 8.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 8.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 8.441 * [taylor]: Taking taylor expansion of 1/3 in N 8.441 * [backup-simplify]: Simplify 1/3 into 1/3 8.441 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 8.441 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.441 * [taylor]: Taking taylor expansion of N in N 8.441 * [backup-simplify]: Simplify 0 into 0 8.441 * [backup-simplify]: Simplify 1 into 1 8.441 * [backup-simplify]: Simplify (* 1 1) into 1 8.441 * [backup-simplify]: Simplify (log 1) into 0 8.442 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 8.442 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 8.442 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 8.442 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 2) in N 8.442 * [taylor]: Taking taylor expansion of (cbrt 1.0) in N 8.442 * [taylor]: Taking taylor expansion of 1.0 in N 8.442 * [backup-simplify]: Simplify 1.0 into 1.0 8.442 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 8.442 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 8.443 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (cbrt 1.0)) in N 8.443 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 8.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 8.443 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 8.443 * [taylor]: Taking taylor expansion of 1/3 in N 8.443 * [backup-simplify]: Simplify 1/3 into 1/3 8.443 * [taylor]: Taking taylor expansion of (log N) in N 8.443 * [taylor]: Taking taylor expansion of N in N 8.443 * [backup-simplify]: Simplify 0 into 0 8.443 * [backup-simplify]: Simplify 1 into 1 8.443 * [backup-simplify]: Simplify (log 1) into 0 8.443 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.443 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.443 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.443 * [taylor]: Taking taylor expansion of (cbrt 1.0) in N 8.443 * [taylor]: Taking taylor expansion of 1.0 in N 8.443 * [backup-simplify]: Simplify 1.0 into 1.0 8.444 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 8.444 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 8.444 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2))) in N 8.444 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.444 * [taylor]: Taking taylor expansion of 0.5 in N 8.444 * [backup-simplify]: Simplify 0.5 into 0.5 8.444 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.444 * [taylor]: Taking taylor expansion of N in N 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 1 into 1 8.444 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.444 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.444 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.444 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.444 * [taylor]: Taking taylor expansion of N in N 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 1 into 1 8.445 * [backup-simplify]: Simplify (* (cbrt 1.0) (cbrt 1.0)) into (pow (cbrt 1.0) 2) 8.446 * [backup-simplify]: Simplify (* (pow N 2/3) (pow (cbrt 1.0) 2)) into (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) 8.446 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt 1.0)) into (* (pow N 1/3) (cbrt 1.0)) 8.448 * [backup-simplify]: Simplify (* (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) (* (pow N 1/3) (cbrt 1.0))) into (* N (pow (cbrt 1.0) 3)) 8.449 * [backup-simplify]: Simplify (+ (* N (pow (cbrt 1.0) 3)) 0) into (* 1.0 N) 8.449 * [backup-simplify]: Simplify (+ (* 1.0 N) 0) into (* 1.0 N) 8.449 * [backup-simplify]: Simplify (* 1.0 N) into (* 1.0 N) 8.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.452 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.452 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 8.453 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.454 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (* 0 (cbrt 1.0))) into 0 8.455 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (* 0 (cbrt 1.0))) into 0 8.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.456 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.456 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 8.457 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 8.457 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.458 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (* 0 (pow (cbrt 1.0) 2))) into 0 8.459 * [backup-simplify]: Simplify (+ (* (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) 0) (* 0 (* (pow N 1/3) (cbrt 1.0)))) into 0 8.460 * [backup-simplify]: Simplify (+ 0 0) into 0 8.460 * [backup-simplify]: Simplify (+ 0 0) into 0 8.460 * [backup-simplify]: Simplify 0 into 0 8.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 8.463 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.463 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.463 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 8.464 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.465 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 8.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 8.466 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 8.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.468 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.469 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 8.469 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 8.470 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.471 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2)))) into 0 8.472 * [backup-simplify]: Simplify (+ (* (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) 0) (+ (* 0 0) (* 0 (* (pow N 1/3) (cbrt 1.0))))) into 0 8.472 * [backup-simplify]: Simplify (* 1 1) into 1 8.473 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.473 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.473 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.474 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 8.474 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 8.478 * [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 8.478 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.479 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 8.480 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.481 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))) into 0 8.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 8.482 * [backup-simplify]: Simplify (+ (* (cbrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))) into 0 8.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.495 * [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 8.496 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 8.497 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 8.499 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.500 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 1.0) 2))))) into 0 8.503 * [backup-simplify]: Simplify (+ (* (* (pow (pow N 2) 1/3) (pow (cbrt 1.0) 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow N 1/3) (cbrt 1.0)))))) into 0 8.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.504 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.505 * [backup-simplify]: Simplify (- 0) into 0 8.505 * [backup-simplify]: Simplify (+ 0 0) into 0 8.506 * [backup-simplify]: Simplify (* 1 1) into 1 8.506 * [backup-simplify]: Simplify (* 1 1) into 1 8.506 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.507 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.507 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.508 * [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)))) 8.509 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (* (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))) (fma (* (cbrt (/ 1.0 (/ 1 (- N)))) (cbrt (/ 1.0 (/ 1 (- N))))) (cbrt (/ 1.0 (/ 1 (- N)))) (- (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) 0.5)))) into (- (fma (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) (* (pow N 1/3) (cbrt -1.0)) (- (* 0.5 (pow N 2)))) (* 0.3333333333333333 (pow N 3))) 8.509 * [approximate]: Taking taylor expansion of (- (fma (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) (* (pow N 1/3) (cbrt -1.0)) (- (* 0.5 (pow N 2)))) (* 0.3333333333333333 (pow N 3))) in (N) around 0 8.509 * [taylor]: Taking taylor expansion of (- (fma (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) (* (pow N 1/3) (cbrt -1.0)) (- (* 0.5 (pow N 2)))) (* 0.3333333333333333 (pow N 3))) in N 8.509 * [taylor]: Taking taylor expansion of (fma (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) (* (pow N 1/3) (cbrt -1.0)) (- (* 0.5 (pow N 2)))) in N 8.510 * [taylor]: Rewrote expression to (+ (* (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) (* (pow N 1/3) (cbrt -1.0))) (- (* 0.5 (pow N 2)))) 8.510 * [taylor]: Taking taylor expansion of (* (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) (* (pow N 1/3) (cbrt -1.0))) in N 8.510 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) in N 8.510 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 8.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 8.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 8.510 * [taylor]: Taking taylor expansion of 1/3 in N 8.510 * [backup-simplify]: Simplify 1/3 into 1/3 8.510 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 8.510 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.510 * [taylor]: Taking taylor expansion of N in N 8.510 * [backup-simplify]: Simplify 0 into 0 8.510 * [backup-simplify]: Simplify 1 into 1 8.510 * [backup-simplify]: Simplify (* 1 1) into 1 8.511 * [backup-simplify]: Simplify (log 1) into 0 8.511 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 8.511 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 8.511 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 8.511 * [taylor]: Taking taylor expansion of (pow (cbrt -1.0) 2) in N 8.511 * [taylor]: Taking taylor expansion of (cbrt -1.0) in N 8.511 * [taylor]: Taking taylor expansion of -1.0 in N 8.512 * [backup-simplify]: Simplify -1.0 into -1.0 8.512 * [backup-simplify]: Simplify (cbrt -1.0) into (cbrt -1.0) 8.513 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1.0))) into 0 8.513 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (cbrt -1.0)) in N 8.513 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 8.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 8.513 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 8.513 * [taylor]: Taking taylor expansion of 1/3 in N 8.513 * [backup-simplify]: Simplify 1/3 into 1/3 8.513 * [taylor]: Taking taylor expansion of (log N) in N 8.513 * [taylor]: Taking taylor expansion of N in N 8.513 * [backup-simplify]: Simplify 0 into 0 8.513 * [backup-simplify]: Simplify 1 into 1 8.513 * [backup-simplify]: Simplify (log 1) into 0 8.514 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.514 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.514 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.514 * [taylor]: Taking taylor expansion of (cbrt -1.0) in N 8.514 * [taylor]: Taking taylor expansion of -1.0 in N 8.514 * [backup-simplify]: Simplify -1.0 into -1.0 8.514 * [backup-simplify]: Simplify (cbrt -1.0) into (cbrt -1.0) 8.515 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1.0))) into 0 8.515 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2))) in N 8.515 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.515 * [taylor]: Taking taylor expansion of 0.5 in N 8.515 * [backup-simplify]: Simplify 0.5 into 0.5 8.515 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.515 * [taylor]: Taking taylor expansion of N in N 8.515 * [backup-simplify]: Simplify 0 into 0 8.515 * [backup-simplify]: Simplify 1 into 1 8.516 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.516 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.516 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.516 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.516 * [taylor]: Taking taylor expansion of N in N 8.516 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify 1 into 1 8.516 * [taylor]: Taking taylor expansion of (- (fma (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) (* (pow N 1/3) (cbrt -1.0)) (- (* 0.5 (pow N 2)))) (* 0.3333333333333333 (pow N 3))) in N 8.516 * [taylor]: Taking taylor expansion of (fma (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) (* (pow N 1/3) (cbrt -1.0)) (- (* 0.5 (pow N 2)))) in N 8.516 * [taylor]: Rewrote expression to (+ (* (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) (* (pow N 1/3) (cbrt -1.0))) (- (* 0.5 (pow N 2)))) 8.516 * [taylor]: Taking taylor expansion of (* (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) (* (pow N 1/3) (cbrt -1.0))) in N 8.516 * [taylor]: Taking taylor expansion of (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) in N 8.516 * [taylor]: Taking taylor expansion of (pow (pow N 2) 1/3) in N 8.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow N 2)))) in N 8.516 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow N 2))) in N 8.516 * [taylor]: Taking taylor expansion of 1/3 in N 8.516 * [backup-simplify]: Simplify 1/3 into 1/3 8.516 * [taylor]: Taking taylor expansion of (log (pow N 2)) in N 8.516 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.516 * [taylor]: Taking taylor expansion of N in N 8.516 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify 1 into 1 8.517 * [backup-simplify]: Simplify (* 1 1) into 1 8.517 * [backup-simplify]: Simplify (log 1) into 0 8.518 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 8.518 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 8.518 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 8.518 * [taylor]: Taking taylor expansion of (pow (cbrt -1.0) 2) in N 8.518 * [taylor]: Taking taylor expansion of (cbrt -1.0) in N 8.518 * [taylor]: Taking taylor expansion of -1.0 in N 8.518 * [backup-simplify]: Simplify -1.0 into -1.0 8.518 * [backup-simplify]: Simplify (cbrt -1.0) into (cbrt -1.0) 8.519 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1.0))) into 0 8.519 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (cbrt -1.0)) in N 8.519 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 8.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 8.519 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 8.519 * [taylor]: Taking taylor expansion of 1/3 in N 8.519 * [backup-simplify]: Simplify 1/3 into 1/3 8.519 * [taylor]: Taking taylor expansion of (log N) in N 8.519 * [taylor]: Taking taylor expansion of N in N 8.519 * [backup-simplify]: Simplify 0 into 0 8.519 * [backup-simplify]: Simplify 1 into 1 8.520 * [backup-simplify]: Simplify (log 1) into 0 8.520 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.520 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.520 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.520 * [taylor]: Taking taylor expansion of (cbrt -1.0) in N 8.520 * [taylor]: Taking taylor expansion of -1.0 in N 8.520 * [backup-simplify]: Simplify -1.0 into -1.0 8.521 * [backup-simplify]: Simplify (cbrt -1.0) into (cbrt -1.0) 8.522 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1.0))) into 0 8.522 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2))) in N 8.522 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.522 * [taylor]: Taking taylor expansion of 0.5 in N 8.522 * [backup-simplify]: Simplify 0.5 into 0.5 8.522 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.522 * [taylor]: Taking taylor expansion of N in N 8.522 * [backup-simplify]: Simplify 0 into 0 8.522 * [backup-simplify]: Simplify 1 into 1 8.522 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.522 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.522 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.522 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.522 * [taylor]: Taking taylor expansion of N in N 8.522 * [backup-simplify]: Simplify 0 into 0 8.522 * [backup-simplify]: Simplify 1 into 1 8.523 * [backup-simplify]: Simplify (* (cbrt -1.0) (cbrt -1.0)) into (pow (cbrt -1.0) 2) 8.525 * [backup-simplify]: Simplify (* (pow N 2/3) (pow (cbrt -1.0) 2)) into (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) 8.525 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1.0)) into (* (pow N 1/3) (cbrt -1.0)) 8.527 * [backup-simplify]: Simplify (* (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) (* (pow N 1/3) (cbrt -1.0))) into (* N (pow (cbrt -1.0) 3)) 8.528 * [backup-simplify]: Simplify (+ (* N (pow (cbrt -1.0) 3)) 0) into (- (* 1.0 N)) 8.528 * [backup-simplify]: Simplify (+ (- (* 1.0 N)) 0) into (- (* 1.0 N)) 8.528 * [backup-simplify]: Simplify (- (* 1.0 N)) into (- (* 1.0 N)) 8.530 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.530 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.531 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 8.532 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.532 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (* 0 (cbrt -1.0))) into 0 8.533 * [backup-simplify]: Simplify (+ (* (cbrt -1.0) 0) (* 0 (cbrt -1.0))) into 0 8.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.536 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 8.536 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log N)))) into 0 8.537 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.538 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (* 0 (pow (cbrt -1.0) 2))) into 0 8.540 * [backup-simplify]: Simplify (+ (* (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) 0) (* 0 (* (pow N 1/3) (cbrt -1.0)))) into 0 8.540 * [backup-simplify]: Simplify (+ 0 0) into 0 8.541 * [backup-simplify]: Simplify (+ 0 0) into 0 8.541 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1.0))))) (* 3 (cbrt -1.0))) into 0 8.544 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.544 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.545 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 8.545 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.546 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (* 0 (cbrt -1.0)))) into 0 8.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1.0))))) (* 3 (cbrt -1.0))) into 0 8.547 * [backup-simplify]: Simplify (+ (* (cbrt -1.0) 0) (+ (* 0 0) (* 0 (cbrt -1.0)))) into 0 8.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.549 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.550 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 8.550 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log N))))) into 0 8.551 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.552 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (+ (* 0 0) (* 0 (pow (cbrt -1.0) 2)))) into 0 8.553 * [backup-simplify]: Simplify (+ (* (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) 0) (+ (* 0 0) (* 0 (* (pow N 1/3) (cbrt -1.0))))) into 0 8.554 * [backup-simplify]: Simplify (* 1 1) into 1 8.554 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.554 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.555 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.555 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 8.555 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1.0))) into 0 8.559 * [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 8.560 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.561 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 8.562 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.563 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1.0))))) into 0 8.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1.0))) into 0 8.564 * [backup-simplify]: Simplify (+ (* (cbrt -1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1.0))))) into 0 8.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.568 * [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 8.568 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 8.569 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log N)))))) into 0 8.570 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.571 * [backup-simplify]: Simplify (+ (* (pow N 2/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1.0) 2))))) into 0 8.573 * [backup-simplify]: Simplify (+ (* (* (pow (pow N 2) 1/3) (pow (cbrt -1.0) 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow N 1/3) (cbrt -1.0)))))) into 0 8.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.574 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.574 * [backup-simplify]: Simplify (- 0) into 0 8.574 * [backup-simplify]: Simplify (+ 0 0) into 0 8.574 * [backup-simplify]: Simplify (* 1 1) into 1 8.574 * [backup-simplify]: Simplify (* 1 1) into 1 8.575 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.575 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.576 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 8.576 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.577 * [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)))) 8.577 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 8.577 * [backup-simplify]: Simplify (cbrt (/ 1.0 N)) into (* (pow (/ 1 N) 1/3) (cbrt 1.0)) 8.577 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt 1.0)) in (N) around 0 8.577 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt 1.0)) in N 8.577 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.577 * [taylor]: Taking taylor expansion of 1/3 in N 8.577 * [backup-simplify]: Simplify 1/3 into 1/3 8.577 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.577 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.577 * [taylor]: Taking taylor expansion of N in N 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 1 into 1 8.577 * [backup-simplify]: Simplify (/ 1 1) into 1 8.578 * [backup-simplify]: Simplify (log 1) into 0 8.578 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.578 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.578 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.578 * [taylor]: Taking taylor expansion of (cbrt 1.0) in N 8.578 * [taylor]: Taking taylor expansion of 1.0 in N 8.578 * [backup-simplify]: Simplify 1.0 into 1.0 8.578 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 8.579 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 8.579 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt 1.0)) in N 8.579 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.579 * [taylor]: Taking taylor expansion of 1/3 in N 8.579 * [backup-simplify]: Simplify 1/3 into 1/3 8.579 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.579 * [taylor]: Taking taylor expansion of N in N 8.579 * [backup-simplify]: Simplify 0 into 0 8.579 * [backup-simplify]: Simplify 1 into 1 8.579 * [backup-simplify]: Simplify (/ 1 1) into 1 8.579 * [backup-simplify]: Simplify (log 1) into 0 8.580 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.580 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.580 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.580 * [taylor]: Taking taylor expansion of (cbrt 1.0) in N 8.580 * [taylor]: Taking taylor expansion of 1.0 in N 8.580 * [backup-simplify]: Simplify 1.0 into 1.0 8.580 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 8.581 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 8.581 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt 1.0)) into (* (pow (/ 1 N) 1/3) (cbrt 1.0)) 8.581 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt 1.0)) into (* (pow (/ 1 N) 1/3) (cbrt 1.0)) 8.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.583 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.583 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.583 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 8.584 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.584 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt 1.0))) into 0 8.584 * [backup-simplify]: Simplify 0 into 0 8.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 8.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.587 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.587 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.588 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 8.589 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.589 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 8.589 * [backup-simplify]: Simplify 0 into 0 8.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 8.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.594 * [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 8.594 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.595 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 8.596 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.596 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))) into 0 8.596 * [backup-simplify]: Simplify 0 into 0 8.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 8.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.616 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 8.617 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.618 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 8.621 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.622 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))) into 0 8.622 * [backup-simplify]: Simplify 0 into 0 8.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 8.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.635 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 8.636 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.637 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 8.639 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.640 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))))) into 0 8.640 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 8.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.659 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 8.660 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.662 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 8.667 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.668 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))))) into 0 8.668 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt 1.0)) into (* (pow (/ 1 N) 1/3) (cbrt 1.0)) 8.669 * [backup-simplify]: Simplify (cbrt (/ 1.0 (/ 1 N))) into (* (pow N 1/3) (cbrt 1.0)) 8.669 * [approximate]: Taking taylor expansion of (* (pow N 1/3) (cbrt 1.0)) in (N) around 0 8.669 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (cbrt 1.0)) in N 8.669 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 8.669 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 8.669 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 8.669 * [taylor]: Taking taylor expansion of 1/3 in N 8.669 * [backup-simplify]: Simplify 1/3 into 1/3 8.669 * [taylor]: Taking taylor expansion of (log N) in N 8.669 * [taylor]: Taking taylor expansion of N in N 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify 1 into 1 8.670 * [backup-simplify]: Simplify (log 1) into 0 8.670 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.670 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.670 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.670 * [taylor]: Taking taylor expansion of (cbrt 1.0) in N 8.670 * [taylor]: Taking taylor expansion of 1.0 in N 8.670 * [backup-simplify]: Simplify 1.0 into 1.0 8.670 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 8.671 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 8.671 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (cbrt 1.0)) in N 8.671 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 8.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 8.671 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 8.671 * [taylor]: Taking taylor expansion of 1/3 in N 8.671 * [backup-simplify]: Simplify 1/3 into 1/3 8.671 * [taylor]: Taking taylor expansion of (log N) in N 8.671 * [taylor]: Taking taylor expansion of N in N 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 1 into 1 8.671 * [backup-simplify]: Simplify (log 1) into 0 8.672 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.672 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.672 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.672 * [taylor]: Taking taylor expansion of (cbrt 1.0) in N 8.672 * [taylor]: Taking taylor expansion of 1.0 in N 8.672 * [backup-simplify]: Simplify 1.0 into 1.0 8.672 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 8.673 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 8.673 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt 1.0)) into (* (pow N 1/3) (cbrt 1.0)) 8.673 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt 1.0)) into (* (pow N 1/3) (cbrt 1.0)) 8.674 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.674 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.675 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 8.675 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.676 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (* 0 (cbrt 1.0))) into 0 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 8.678 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.678 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.679 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 8.680 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.680 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 8.680 * [backup-simplify]: Simplify 0 into 0 8.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 8.684 * [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 8.684 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.685 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 8.686 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.687 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))) into 0 8.687 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 8.693 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 8.694 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.695 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 8.698 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.699 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))) into 0 8.700 * [backup-simplify]: Simplify 0 into 0 8.701 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 8.726 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 8.727 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.729 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 8.731 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.732 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))))) into 0 8.732 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 8.751 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 8.751 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.753 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 8.756 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.757 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))))) into 0 8.757 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt 1.0)) into (* (pow (/ 1 N) 1/3) (cbrt 1.0)) 8.757 * [backup-simplify]: Simplify (cbrt (/ 1.0 (/ 1 (- N)))) into (* (pow N 1/3) (cbrt -1.0)) 8.757 * [approximate]: Taking taylor expansion of (* (pow N 1/3) (cbrt -1.0)) in (N) around 0 8.757 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (cbrt -1.0)) in N 8.758 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 8.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 8.758 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 8.758 * [taylor]: Taking taylor expansion of 1/3 in N 8.758 * [backup-simplify]: Simplify 1/3 into 1/3 8.758 * [taylor]: Taking taylor expansion of (log N) in N 8.758 * [taylor]: Taking taylor expansion of N in N 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify 1 into 1 8.758 * [backup-simplify]: Simplify (log 1) into 0 8.758 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.758 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.758 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.758 * [taylor]: Taking taylor expansion of (cbrt -1.0) in N 8.758 * [taylor]: Taking taylor expansion of -1.0 in N 8.759 * [backup-simplify]: Simplify -1.0 into -1.0 8.759 * [backup-simplify]: Simplify (cbrt -1.0) into (cbrt -1.0) 8.759 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1.0))) into 0 8.759 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (cbrt -1.0)) in N 8.759 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 8.759 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 8.759 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 8.759 * [taylor]: Taking taylor expansion of 1/3 in N 8.759 * [backup-simplify]: Simplify 1/3 into 1/3 8.759 * [taylor]: Taking taylor expansion of (log N) in N 8.759 * [taylor]: Taking taylor expansion of N in N 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.760 * [backup-simplify]: Simplify (log 1) into 0 8.760 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.760 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.760 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.760 * [taylor]: Taking taylor expansion of (cbrt -1.0) in N 8.760 * [taylor]: Taking taylor expansion of -1.0 in N 8.760 * [backup-simplify]: Simplify -1.0 into -1.0 8.760 * [backup-simplify]: Simplify (cbrt -1.0) into (cbrt -1.0) 8.761 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1.0))) into 0 8.761 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1.0)) into (* (pow N 1/3) (cbrt -1.0)) 8.762 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1.0)) into (* (pow N 1/3) (cbrt -1.0)) 8.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.763 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.764 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 8.764 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.765 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (* 0 (cbrt -1.0))) into 0 8.765 * [backup-simplify]: Simplify 0 into 0 8.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1.0))))) (* 3 (cbrt -1.0))) into 0 8.769 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.770 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.771 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 8.772 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.773 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (* 0 (cbrt -1.0)))) into 0 8.773 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1.0))) into 0 8.779 * [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 8.779 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.780 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 8.781 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.782 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1.0))))) into 0 8.782 * [backup-simplify]: Simplify 0 into 0 8.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1.0))))) (* 3 (cbrt -1.0))) into 0 8.788 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 8.789 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.790 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 8.791 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.792 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1.0)))))) into 0 8.792 * [backup-simplify]: Simplify 0 into 0 8.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1.0))) into 0 8.806 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 8.807 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.809 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 8.813 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.814 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1.0))))))) into 0 8.815 * [backup-simplify]: Simplify 0 into 0 8.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1.0))))) (* 3 (cbrt -1.0))) into 0 8.850 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 8.850 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.851 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 8.855 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.856 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1.0)))))))) into 0 8.856 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify (* (pow (/ 1 (- N)) 1/3) (cbrt -1.0)) into (* (pow (/ -1 N) 1/3) (cbrt -1.0)) 8.856 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2) 8.856 * [backup-simplify]: Simplify (cbrt (/ 1.0 N)) into (* (pow (/ 1 N) 1/3) (cbrt 1.0)) 8.856 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt 1.0)) in (N) around 0 8.856 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt 1.0)) in N 8.856 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.856 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.856 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.856 * [taylor]: Taking taylor expansion of 1/3 in N 8.856 * [backup-simplify]: Simplify 1/3 into 1/3 8.857 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.857 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.857 * [taylor]: Taking taylor expansion of N in N 8.857 * [backup-simplify]: Simplify 0 into 0 8.857 * [backup-simplify]: Simplify 1 into 1 8.857 * [backup-simplify]: Simplify (/ 1 1) into 1 8.857 * [backup-simplify]: Simplify (log 1) into 0 8.857 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.857 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.857 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.857 * [taylor]: Taking taylor expansion of (cbrt 1.0) in N 8.857 * [taylor]: Taking taylor expansion of 1.0 in N 8.858 * [backup-simplify]: Simplify 1.0 into 1.0 8.858 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 8.858 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 8.858 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/3) (cbrt 1.0)) in N 8.858 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 8.858 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 8.858 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 8.858 * [taylor]: Taking taylor expansion of 1/3 in N 8.858 * [backup-simplify]: Simplify 1/3 into 1/3 8.858 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 8.858 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.858 * [taylor]: Taking taylor expansion of N in N 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 1 into 1 8.859 * [backup-simplify]: Simplify (/ 1 1) into 1 8.859 * [backup-simplify]: Simplify (log 1) into 0 8.859 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.859 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 8.859 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 8.859 * [taylor]: Taking taylor expansion of (cbrt 1.0) in N 8.859 * [taylor]: Taking taylor expansion of 1.0 in N 8.859 * [backup-simplify]: Simplify 1.0 into 1.0 8.860 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 8.860 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 8.860 * [backup-simplify]: Simplify (* (pow N -1/3) (cbrt 1.0)) into (* (pow (/ 1 N) 1/3) (cbrt 1.0)) 8.861 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt 1.0)) into (* (pow (/ 1 N) 1/3) (cbrt 1.0)) 8.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.862 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.863 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 8.863 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.864 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (* 0 (cbrt 1.0))) into 0 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 8.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.866 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.867 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.867 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 8.868 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.869 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 8.869 * [backup-simplify]: Simplify 0 into 0 8.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 8.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.876 * [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 8.876 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.878 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 8.879 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.880 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))) into 0 8.880 * [backup-simplify]: Simplify 0 into 0 8.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 8.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.894 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 8.895 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.896 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 8.899 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.900 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))) into 0 8.900 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 8.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.921 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 8.921 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.924 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 8.928 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.929 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))))) into 0 8.930 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 8.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.949 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 8.950 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.952 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 8.960 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.961 * [backup-simplify]: Simplify (+ (* (pow N -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))))) into 0 8.961 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt 1.0)) into (* (pow (/ 1 N) 1/3) (cbrt 1.0)) 8.962 * [backup-simplify]: Simplify (cbrt (/ 1.0 (/ 1 N))) into (* (pow N 1/3) (cbrt 1.0)) 8.962 * [approximate]: Taking taylor expansion of (* (pow N 1/3) (cbrt 1.0)) in (N) around 0 8.962 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (cbrt 1.0)) in N 8.962 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 8.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 8.962 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 8.962 * [taylor]: Taking taylor expansion of 1/3 in N 8.962 * [backup-simplify]: Simplify 1/3 into 1/3 8.962 * [taylor]: Taking taylor expansion of (log N) in N 8.962 * [taylor]: Taking taylor expansion of N in N 8.962 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify 1 into 1 8.962 * [backup-simplify]: Simplify (log 1) into 0 8.963 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.963 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.963 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.963 * [taylor]: Taking taylor expansion of (cbrt 1.0) in N 8.963 * [taylor]: Taking taylor expansion of 1.0 in N 8.963 * [backup-simplify]: Simplify 1.0 into 1.0 8.964 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 8.964 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 8.964 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (cbrt 1.0)) in N 8.964 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 8.964 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 8.964 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 8.964 * [taylor]: Taking taylor expansion of 1/3 in N 8.964 * [backup-simplify]: Simplify 1/3 into 1/3 8.965 * [taylor]: Taking taylor expansion of (log N) in N 8.965 * [taylor]: Taking taylor expansion of N in N 8.965 * [backup-simplify]: Simplify 0 into 0 8.965 * [backup-simplify]: Simplify 1 into 1 8.965 * [backup-simplify]: Simplify (log 1) into 0 8.965 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.966 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 8.966 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 8.966 * [taylor]: Taking taylor expansion of (cbrt 1.0) in N 8.966 * [taylor]: Taking taylor expansion of 1.0 in N 8.966 * [backup-simplify]: Simplify 1.0 into 1.0 8.966 * [backup-simplify]: Simplify (cbrt 1.0) into (cbrt 1.0) 8.967 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 1.0))) into 0 8.968 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt 1.0)) into (* (pow N 1/3) (cbrt 1.0)) 8.968 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt 1.0)) into (* (pow N 1/3) (cbrt 1.0)) 8.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.970 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.970 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 8.971 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 8.972 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (* 0 (cbrt 1.0))) into 0 8.972 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 8.976 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.977 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.978 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 8.979 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.980 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (* 0 (cbrt 1.0)))) into 0 8.980 * [backup-simplify]: Simplify 0 into 0 8.982 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 8.987 * [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 8.987 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 8.988 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 8.990 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.991 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))) into 0 8.991 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 9.005 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 9.005 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.007 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 9.010 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.011 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))) into 0 9.011 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 1.0))) into 0 9.031 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 9.032 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.034 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 9.038 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.039 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0))))))) into 0 9.039 * [backup-simplify]: Simplify 0 into 0 9.041 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 1.0))))) (* 3 (cbrt 1.0))) into 0 9.075 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 9.076 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.078 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 9.085 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.086 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 1.0)))))))) into 0 9.087 * [backup-simplify]: Simplify 0 into 0 9.087 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/3) (cbrt 1.0)) into (* (pow (/ 1 N) 1/3) (cbrt 1.0)) 9.087 * [backup-simplify]: Simplify (cbrt (/ 1.0 (/ 1 (- N)))) into (* (pow N 1/3) (cbrt -1.0)) 9.087 * [approximate]: Taking taylor expansion of (* (pow N 1/3) (cbrt -1.0)) in (N) around 0 9.087 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (cbrt -1.0)) in N 9.087 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 9.087 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 9.087 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 9.088 * [taylor]: Taking taylor expansion of 1/3 in N 9.088 * [backup-simplify]: Simplify 1/3 into 1/3 9.088 * [taylor]: Taking taylor expansion of (log N) in N 9.088 * [taylor]: Taking taylor expansion of N in N 9.088 * [backup-simplify]: Simplify 0 into 0 9.088 * [backup-simplify]: Simplify 1 into 1 9.088 * [backup-simplify]: Simplify (log 1) into 0 9.088 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.089 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 9.089 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 9.089 * [taylor]: Taking taylor expansion of (cbrt -1.0) in N 9.089 * [taylor]: Taking taylor expansion of -1.0 in N 9.089 * [backup-simplify]: Simplify -1.0 into -1.0 9.089 * [backup-simplify]: Simplify (cbrt -1.0) into (cbrt -1.0) 9.090 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1.0))) into 0 9.090 * [taylor]: Taking taylor expansion of (* (pow N 1/3) (cbrt -1.0)) in N 9.090 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 9.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 9.090 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 9.090 * [taylor]: Taking taylor expansion of 1/3 in N 9.090 * [backup-simplify]: Simplify 1/3 into 1/3 9.090 * [taylor]: Taking taylor expansion of (log N) in N 9.090 * [taylor]: Taking taylor expansion of N in N 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [backup-simplify]: Simplify 1 into 1 9.091 * [backup-simplify]: Simplify (log 1) into 0 9.091 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.091 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 9.091 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 9.091 * [taylor]: Taking taylor expansion of (cbrt -1.0) in N 9.091 * [taylor]: Taking taylor expansion of -1.0 in N 9.091 * [backup-simplify]: Simplify -1.0 into -1.0 9.092 * [backup-simplify]: Simplify (cbrt -1.0) into (cbrt -1.0) 9.092 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1.0))) into 0 9.093 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1.0)) into (* (pow N 1/3) (cbrt -1.0)) 9.094 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1.0)) into (* (pow N 1/3) (cbrt -1.0)) 9.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.095 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.096 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 9.097 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 9.097 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (* 0 (cbrt -1.0))) into 0 9.097 * [backup-simplify]: Simplify 0 into 0 9.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1.0))))) (* 3 (cbrt -1.0))) into 0 9.102 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.102 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.103 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 9.103 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.104 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (* 0 (cbrt -1.0)))) into 0 9.104 * [backup-simplify]: Simplify 0 into 0 9.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1.0))) into 0 9.112 * [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 9.112 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.113 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 9.114 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.115 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1.0))))) into 0 9.115 * [backup-simplify]: Simplify 0 into 0 9.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1.0))))) (* 3 (cbrt -1.0))) into 0 9.123 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 9.123 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.124 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 9.126 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.126 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1.0)))))) into 0 9.126 * [backup-simplify]: Simplify 0 into 0 9.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1.0))) into 0 9.137 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 9.137 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.139 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 9.141 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.142 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1.0))))))) into 0 9.142 * [backup-simplify]: Simplify 0 into 0 9.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1.0))))) (* 3 (cbrt -1.0))) into 0 9.166 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 9.166 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.168 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 9.171 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.172 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1.0)))))))) into 0 9.172 * [backup-simplify]: Simplify 0 into 0 9.172 * [backup-simplify]: Simplify (* (pow (/ 1 (- N)) 1/3) (cbrt -1.0)) into (* (pow (/ -1 N) 1/3) (cbrt -1.0)) 9.172 * * * [progress]: simplifying candidates 9.174 * [simplify]: Simplifying: (expm1 (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))) (log1p (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))) (* (- (/ 1 (* N N))) 0.5) (log (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))) (exp (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))) (* (cbrt (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))) (cbrt (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5)))) (cbrt (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))) (* (* (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5)) (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))) (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))) (sqrt (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))) (sqrt (fma (- (/ 1 (* N N))) 0.5 (* (/ 1 (* N N)) 0.5))) (expm1 (+ (/ 0.3333333333333333 (* (* N N) N)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))))) (log1p (+ (/ 0.3333333333333333 (* (* N N) N)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))))) (* (exp (/ 0.3333333333333333 (* (* N N) N))) (exp (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))))) (log (+ (/ 0.3333333333333333 (* (* N N) N)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))))) (exp (+ (/ 0.3333333333333333 (* (* N N) N)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))))) (* (cbrt (+ (/ 0.3333333333333333 (* (* N N) N)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))))) (cbrt (+ (/ 0.3333333333333333 (* (* N N) N)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5)))))) (cbrt (+ (/ 0.3333333333333333 (* (* N N) N)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))))) (* (* (+ (/ 0.3333333333333333 (* (* N N) N)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5)))) (+ (/ 0.3333333333333333 (* (* N N) N)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))))) (+ (/ 0.3333333333333333 (* (* N N) N)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))))) (sqrt (+ (/ 0.3333333333333333 (* (* N N) N)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))))) (sqrt (+ (/ 0.3333333333333333 (* (* N N) N)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))))) (+ (pow (/ 0.3333333333333333 (* (* N N) N)) 3) (pow (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))) 3)) (+ (* (/ 0.3333333333333333 (* (* N N) N)) (/ 0.3333333333333333 (* (* N N) N))) (- (* (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5)))) (* (/ 0.3333333333333333 (* (* N N) N)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5)))))) (- (* (/ 0.3333333333333333 (* (* N N) N)) (/ 0.3333333333333333 (* (* N N) N))) (* (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5))))) (- (/ 0.3333333333333333 (* (* N N) N)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5)))) (+ (/ 0.3333333333333333 (* (* N N) N)) (fma (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (- (* (/ 1 (* N N)) 0.5)))) (+ (/ 0.3333333333333333 (* (* N N) N)) (* (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)))) (expm1 (cbrt (/ 1.0 N))) (log1p (cbrt (/ 1.0 N))) (log (cbrt (/ 1.0 N))) (exp (cbrt (/ 1.0 N))) (cbrt (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N)))) (cbrt (cbrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt 1.0) (cbrt N))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N))) (cbrt (/ (cbrt 1.0) (sqrt N))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (cbrt (/ (cbrt 1.0) N)) (cbrt (/ (sqrt 1.0) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt 1.0) (cbrt N))) (cbrt (/ (sqrt 1.0) (sqrt N))) (cbrt (/ (sqrt 1.0) (sqrt N))) (cbrt (/ (sqrt 1.0) 1)) (cbrt (/ (sqrt 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ 1.0 (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ 1.0 (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ 1.0 N)) (cbrt 1) (cbrt (/ 1.0 N)) (cbrt 1.0) (cbrt (/ 1 N)) (cbrt 1.0) (cbrt N) (* (cbrt (cbrt (/ 1.0 N))) (cbrt (cbrt (/ 1.0 N)))) (cbrt (cbrt (/ 1.0 N))) (* (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N))) (sqrt (cbrt (/ 1.0 N))) (sqrt (cbrt (/ 1.0 N))) (expm1 (cbrt (/ 1.0 N))) (log1p (cbrt (/ 1.0 N))) (log (cbrt (/ 1.0 N))) (exp (cbrt (/ 1.0 N))) (cbrt (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N)))) (cbrt (cbrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt 1.0) (cbrt N))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt N))) (cbrt (/ (cbrt 1.0) (sqrt N))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (cbrt (/ (cbrt 1.0) N)) (cbrt (/ (sqrt 1.0) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt 1.0) (cbrt N))) (cbrt (/ (sqrt 1.0) (sqrt N))) (cbrt (/ (sqrt 1.0) (sqrt N))) (cbrt (/ (sqrt 1.0) 1)) (cbrt (/ (sqrt 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ 1.0 (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ 1.0 (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ 1.0 N)) (cbrt 1) (cbrt (/ 1.0 N)) (cbrt 1.0) (cbrt (/ 1 N)) (cbrt 1.0) (cbrt N) (* (cbrt (cbrt (/ 1.0 N))) (cbrt (cbrt (/ 1.0 N)))) (cbrt (cbrt (/ 1.0 N))) (* (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N))) (sqrt (cbrt (/ 1.0 N))) (sqrt (cbrt (/ 1.0 N))) 0 0 0 (- (+ (* 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)))) (* (pow (/ 1 N) 1/3) (cbrt 1.0)) (* (pow (/ 1 N) 1/3) (cbrt 1.0)) (* (pow (/ -1 N) 1/3) (cbrt -1.0)) (* (pow (/ 1 N) 1/3) (cbrt 1.0)) (* (pow (/ 1 N) 1/3) (cbrt 1.0)) (* (pow (/ -1 N) 1/3) (cbrt -1.0)) 9.175 * * [simplify]: iteration 0: 126 enodes 9.197 * * [simplify]: iteration 1: 244 enodes 9.278 * * [simplify]: iteration 2: 900 enodes 9.703 * * [simplify]: iteration complete: 5001 enodes 9.703 * * [simplify]: Extracting #0: cost 56 inf + 0 9.703 * * [simplify]: Extracting #1: cost 465 inf + 2 9.708 * * [simplify]: Extracting #2: cost 1725 inf + 1370 9.718 * * [simplify]: Extracting #3: cost 1840 inf + 37731 9.785 * * [simplify]: Extracting #4: cost 876 inf + 290498 9.937 * * [simplify]: Extracting #5: cost 78 inf + 562634 10.141 * * [simplify]: Extracting #6: cost 2 inf + 583889 10.307 * * [simplify]: Extracting #7: cost 0 inf + 582208 10.462 * [simplify]: Simplified to: (expm1 (* (/ (/ 1 N) N) (+ (- 0.5) 0.5))) (log1p (* (/ (/ 1 N) N) (+ (- 0.5) 0.5))) (/ (- 0.5) (* N N)) (log (* (/ (/ 1 N) N) (+ (- 0.5) 0.5))) (* (/ 1 (exp (/ (/ 0.5 N) N))) (exp (/ (/ 0.5 N) N))) (* (cbrt (* (/ (/ 1 N) N) (+ (- 0.5) 0.5))) (cbrt (* (/ (/ 1 N) N) (+ (- 0.5) 0.5)))) (cbrt (* (/ (/ 1 N) N) (+ (- 0.5) 0.5))) (* (* (* (/ (/ 1 N) N) (+ (- 0.5) 0.5)) (* (/ (/ 1 N) N) (+ (- 0.5) 0.5))) (* (/ (/ 1 N) N) (+ (- 0.5) 0.5))) (sqrt (* (/ (/ 1 N) N) (+ (- 0.5) 0.5))) (sqrt (* (/ (/ 1 N) N) (+ (- 0.5) 0.5))) (expm1 (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (log1p (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (exp (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (log (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (exp (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (* (cbrt (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))))) (cbrt (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (* (* (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (sqrt (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (sqrt (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5)))) (fma (* (/ (/ (/ 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))))) (fma (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ (/ (/ 0.3333333333333333 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))) (- (/ (/ (/ 0.3333333333333333 N) N) N) (- (/ 1.0 N) (/ (/ 0.5 N) N)))) (- (/ (/ (/ 0.3333333333333333 N) N) N) (- (/ 1.0 N) (/ (/ 0.5 N) N))) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (+ (/ (/ (/ 0.3333333333333333 N) N) N) (/ 1.0 N)) (expm1 (cbrt (/ 1.0 N))) (log1p (cbrt (/ 1.0 N))) (log (cbrt (/ 1.0 N))) (exp (cbrt (/ 1.0 N))) (cbrt (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N)))) (cbrt (cbrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N))) (cbrt (* (/ (cbrt 1.0) (cbrt N)) (/ (cbrt 1.0) (cbrt N)))) (cbrt (/ (cbrt 1.0) (cbrt N))) (cbrt (/ (cbrt 1.0) (/ (sqrt N) (cbrt 1.0)))) (cbrt (/ (cbrt 1.0) (sqrt N))) (cbrt (* (cbrt 1.0) (cbrt 1.0))) (cbrt (/ (cbrt 1.0) N)) (cbrt (/ (sqrt 1.0) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt 1.0) (cbrt N))) (cbrt (/ (sqrt 1.0) (sqrt N))) (cbrt (/ (sqrt 1.0) (sqrt N))) (cbrt (sqrt 1.0)) (cbrt (/ (sqrt 1.0) N)) (cbrt (/ (/ 1 (cbrt N)) (cbrt N))) (cbrt (/ 1.0 (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ 1.0 (sqrt N))) 1 (cbrt (/ 1.0 N)) 1 (cbrt (/ 1.0 N)) (cbrt 1.0) (cbrt (/ 1 N)) (cbrt 1.0) (cbrt N) (* (cbrt (cbrt (/ 1.0 N))) (cbrt (cbrt (/ 1.0 N)))) (cbrt (cbrt (/ 1.0 N))) (/ 1.0 N) (sqrt (cbrt (/ 1.0 N))) (sqrt (cbrt (/ 1.0 N))) (expm1 (cbrt (/ 1.0 N))) (log1p (cbrt (/ 1.0 N))) (log (cbrt (/ 1.0 N))) (exp (cbrt (/ 1.0 N))) (cbrt (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N)))) (cbrt (cbrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N))) (cbrt (sqrt (/ 1.0 N))) (cbrt (* (/ (cbrt 1.0) (cbrt N)) (/ (cbrt 1.0) (cbrt N)))) (cbrt (/ (cbrt 1.0) (cbrt N))) (cbrt (/ (cbrt 1.0) (/ (sqrt N) (cbrt 1.0)))) (cbrt (/ (cbrt 1.0) (sqrt N))) (cbrt (* (cbrt 1.0) (cbrt 1.0))) (cbrt (/ (cbrt 1.0) N)) (cbrt (/ (sqrt 1.0) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt 1.0) (cbrt N))) (cbrt (/ (sqrt 1.0) (sqrt N))) (cbrt (/ (sqrt 1.0) (sqrt N))) (cbrt (sqrt 1.0)) (cbrt (/ (sqrt 1.0) N)) (cbrt (/ (/ 1 (cbrt N)) (cbrt N))) (cbrt (/ 1.0 (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ 1.0 (sqrt N))) 1 (cbrt (/ 1.0 N)) 1 (cbrt (/ 1.0 N)) (cbrt 1.0) (cbrt (/ 1 N)) (cbrt 1.0) (cbrt N) (* (cbrt (cbrt (/ 1.0 N))) (cbrt (cbrt (/ 1.0 N)))) (cbrt (cbrt (/ 1.0 N))) (/ 1.0 N) (sqrt (cbrt (/ 1.0 N))) (sqrt (cbrt (/ 1.0 N))) 0 0 0 (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt (/ 1 N)) (cbrt 1.0)) (* (cbrt (/ 1 N)) (cbrt 1.0)) (* (cbrt -1.0) (cbrt (/ -1 N))) (* (cbrt (/ 1 N)) (cbrt 1.0)) (* (cbrt (/ 1 N)) (cbrt 1.0)) (* (cbrt -1.0) (cbrt (/ -1 N))) 10.478 * * * [progress]: adding candidates to table 11.180 * [progress]: [Phase 3 of 3] Extracting. 11.181 * * [regime]: Finding splitpoints for: (# # #) 11.182 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.183 * * * * [regimes]: Trying to branch on N from (# # #) 11.217 * * * [regime]: Found split indices: #