24.049 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.070 * * * [progress]: [2/2] Setting up program. 0.073 * [progress]: [Phase 2 of 3] Improving. 0.073 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.073 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.073 * * [simplify]: Extracting # 1 : cost 3 inf + 0 0.073 * * [simplify]: Extracting # 2 : cost 5 inf + 0 0.073 * * [simplify]: Extracting # 3 : cost 5 inf + 1 0.073 * * [simplify]: Extracting # 4 : cost 0 inf + 449 0.073 * * [simplify]: iteration 0 : 6 enodes (cost 222 ) 0.074 * * [simplify]: Extracting # 0 : cost 0 inf + 449 0.074 * * [simplify]: Extracting # 1 : cost 1 inf + 449 0.074 * * [simplify]: Extracting # 2 : cost 0 inf + 560 0.074 * * [simplify]: iteration 1 : 9 enodes (cost 222 ) 0.076 * * [simplify]: Extracting # 0 : cost 0 inf + 560 0.076 * * [simplify]: iteration 2 : 10 enodes (cost 222 ) 0.077 * * [simplify]: Extracting # 0 : cost 0 inf + 560 0.077 * * [simplify]: iteration complete: 10 enodes (cost 222 ) 0.077 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.078 * * [progress]: iteration 1 / 4 0.078 * * * [progress]: picking best candidate 0.081 * * * * [pick]: Picked # 0.081 * * * [progress]: localizing error 0.125 * * * [progress]: generating rewritten candidates 0.125 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.143 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.150 * * * [progress]: generating series expansions 0.150 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.150 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.150 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.150 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.150 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.150 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.150 * [taylor]: Taking taylor expansion of N in N 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of 1.0 in N 0.150 * [backup-simplify]: Simplify 1.0 into 1.0 0.151 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.151 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.151 * [taylor]: Taking taylor expansion of (log N) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (log 1) into 0 0.152 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.152 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.152 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [taylor]: Taking taylor expansion of 1.0 in N 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.152 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.152 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.152 * [taylor]: Taking taylor expansion of (log N) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (log 1) into 0 0.153 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.153 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.153 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.154 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.154 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.159 * [backup-simplify]: Simplify 1.0 into 1.0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [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)) 0.166 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.170 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.172 * [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))) 0.172 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.172 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.172 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.172 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.173 * [backup-simplify]: Simplify (log 1) into 0 0.173 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [backup-simplify]: Simplify (log 1) into 0 0.173 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.173 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of 1.0 in N 0.174 * [backup-simplify]: Simplify 1.0 into 1.0 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.174 * [backup-simplify]: Simplify (log 1) into 0 0.174 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.174 * [taylor]: Taking taylor expansion of (/ 1 N) 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 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify (log 1) into 0 0.175 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.176 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.176 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.176 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.182 * [backup-simplify]: Simplify 1.0 into 1.0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [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 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.196 * [backup-simplify]: Simplify (- 0) into 0 0.197 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.197 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [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 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [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 0.219 * [backup-simplify]: Simplify (- 0) into 0 0.220 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.220 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.220 * [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)))) 0.220 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.220 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.220 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.220 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.220 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.220 * [taylor]: Taking taylor expansion of 1.0 in N 0.220 * [backup-simplify]: Simplify 1.0 into 1.0 0.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.221 * [taylor]: Taking taylor expansion of N in N 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [backup-simplify]: Simplify (- 1) into -1 0.221 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.222 * [backup-simplify]: Simplify (log -1) into (log -1) 0.222 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.222 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.222 * [taylor]: Taking taylor expansion of -1 in N 0.222 * [backup-simplify]: Simplify -1 into -1 0.222 * [taylor]: Taking taylor expansion of N in N 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ -1 1) into -1 0.222 * [backup-simplify]: Simplify (log -1) into (log -1) 0.222 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.222 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.222 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.222 * [taylor]: Taking taylor expansion of 1.0 in N 0.222 * [backup-simplify]: Simplify 1.0 into 1.0 0.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.222 * [taylor]: Taking taylor expansion of N in N 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [backup-simplify]: Simplify (- 1) into -1 0.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.223 * [backup-simplify]: Simplify (log -1) into (log -1) 0.223 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.223 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.223 * [taylor]: Taking taylor expansion of -1 in N 0.224 * [backup-simplify]: Simplify -1 into -1 0.224 * [taylor]: Taking taylor expansion of N in N 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ -1 1) into -1 0.224 * [backup-simplify]: Simplify (log -1) into (log -1) 0.225 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.225 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.226 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.226 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.234 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [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 0.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.245 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [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 0.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [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 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.261 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.262 * [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)))) 0.263 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.263 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.263 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.263 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.263 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.263 * [taylor]: Taking taylor expansion of N in N 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of 1.0 in N 0.263 * [backup-simplify]: Simplify 1.0 into 1.0 0.263 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.263 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.263 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.263 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.263 * [taylor]: Taking taylor expansion of N in N 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of 1.0 in N 0.263 * [backup-simplify]: Simplify 1.0 into 1.0 0.264 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.264 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.264 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.265 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.268 * [backup-simplify]: Simplify 1.0 into 1.0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [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)) 0.276 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.277 * [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)))) 0.277 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.277 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.277 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.277 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.277 * [taylor]: Taking taylor expansion of N in N 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [taylor]: Taking taylor expansion of 1.0 in N 0.278 * [backup-simplify]: Simplify 1.0 into 1.0 0.278 * [backup-simplify]: Simplify (+ 1 0) into 1 0.278 * [backup-simplify]: Simplify (log 1) into 0 0.278 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.278 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.278 * [taylor]: Taking taylor expansion of N in N 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [taylor]: Taking taylor expansion of 1.0 in N 0.279 * [backup-simplify]: Simplify 1.0 into 1.0 0.279 * [backup-simplify]: Simplify (+ 1 0) into 1 0.279 * [backup-simplify]: Simplify (log 1) into 0 0.280 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.280 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.284 * [backup-simplify]: Simplify 1.0 into 1.0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [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 0.291 * [backup-simplify]: Simplify -0.5 into -0.5 0.291 * [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)))) 0.291 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.291 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.291 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.291 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.291 * [taylor]: Taking taylor expansion of 1.0 in N 0.291 * [backup-simplify]: Simplify 1.0 into 1.0 0.291 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.291 * [taylor]: Taking taylor expansion of N in N 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [backup-simplify]: Simplify (- 1) into -1 0.292 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.292 * [backup-simplify]: Simplify (log -1) into (log -1) 0.293 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.293 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.293 * [taylor]: Taking taylor expansion of 1.0 in N 0.293 * [backup-simplify]: Simplify 1.0 into 1.0 0.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.293 * [taylor]: Taking taylor expansion of N in N 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [backup-simplify]: Simplify (- 1) into -1 0.293 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.294 * [backup-simplify]: Simplify (log -1) into (log -1) 0.294 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.294 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.299 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.299 * [backup-simplify]: Simplify -1.0 into -1.0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [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 0.308 * [backup-simplify]: Simplify -0.5 into -0.5 0.309 * [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)))) 0.309 * * * [progress]: simplifying candidates 0.309 * [simplify]: Simplifying: (/ (+ 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 (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (log 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)))) (- (+ (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)))) 0.310 * * [simplify]: Extracting # 0 : cost 42 inf + 0 0.310 * * [simplify]: Extracting # 1 : cost 71 inf + 0 0.310 * * [simplify]: Extracting # 2 : cost 90 inf + 2 0.310 * * [simplify]: Extracting # 3 : cost 82 inf + 1254 0.311 * * [simplify]: Extracting # 4 : cost 54 inf + 5640 0.312 * * [simplify]: Extracting # 5 : cost 17 inf + 14952 0.313 * * [simplify]: Extracting # 6 : cost 5 inf + 19820 0.315 * * [simplify]: Extracting # 7 : cost 0 inf + 22422 0.317 * * [simplify]: iteration 0 : 101 enodes (cost 15630 ) 0.351 * * [simplify]: Extracting # 0 : cost 0 inf + 22422 0.354 * * [simplify]: Extracting # 1 : cost 34 inf + 20212 0.359 * * [simplify]: Extracting # 2 : cost 5 inf + 23820 0.363 * * [simplify]: Extracting # 3 : cost 4 inf + 22232 0.368 * * [simplify]: Extracting # 4 : cost 0 inf + 23181 0.372 * * [simplify]: iteration 1 : 213 enodes (cost 12900 ) 0.438 * * [simplify]: Extracting # 0 : cost 0 inf + 23181 0.441 * * [simplify]: Extracting # 1 : cost 109 inf + 21706 0.447 * * [simplify]: Extracting # 2 : cost 5 inf + 40074 0.453 * * [simplify]: Extracting # 3 : cost 0 inf + 40784 0.460 * * [simplify]: Extracting # 4 : cost 0 inf + 40424 0.465 * * [simplify]: Extracting # 5 : cost 0 inf + 40384 0.472 * * [simplify]: iteration 2 : 530 enodes (cost 12195 ) 0.740 * * [simplify]: Extracting # 0 : cost 0 inf + 40384 0.757 * * [simplify]: Extracting # 1 : cost 371 inf + 39760 0.782 * * [simplify]: Extracting # 2 : cost 6 inf + 100762 0.801 * * [simplify]: Extracting # 3 : cost 1 inf + 101533 0.819 * * [simplify]: Extracting # 4 : cost 0 inf + 101745 0.843 * * [simplify]: iteration 3 : 1557 enodes (cost 12195 ) 1.471 * * [simplify]: Extracting # 0 : cost 0 inf + 101745 1.508 * * [simplify]: Extracting # 1 : cost 1350 inf + 95262 1.571 * * [simplify]: Extracting # 2 : cost 302 inf + 267272 1.679 * * [simplify]: Extracting # 3 : cost 19 inf + 308949 1.795 * * [simplify]: Extracting # 4 : cost 0 inf + 314359 1.950 * * [simplify]: iteration complete: 5000 enodes (cost 12085 ) 1.951 * [simplify]: Simplified to: (/ (+ 1.0 N) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ 1.0 N) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (log N) (* (log N) (log N)))) (+ (* (log N) (+ (log (+ N 1.0)) (log N))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ 1.0 N)) (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 (+ 1.0 N)) (- (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)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (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 (+ 1.0 N)) 0 (log (+ 1.0 N)) (log (+ (* (* 1.0 1.0) 1.0) (* N (* N N)))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ 1.0 N)) (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 1.0) (* 1.0 N)) (+ (log N) (* 1/2 (* (/ N 1.0) (/ N 1.0))))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (* (/ N 1.0) (/ N 1.0)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (+ 0 (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N)))) 1.953 * * * [progress]: adding candidates to table 2.176 * * [progress]: iteration 2 / 4 2.176 * * * [progress]: picking best candidate 2.195 * * * * [pick]: Picked # 2.195 * * * [progress]: localizing error 2.209 * * * [progress]: generating rewritten candidates 2.209 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.217 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.244 * * * [progress]: generating series expansions 2.245 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.245 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 2.245 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.245 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.245 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.245 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.245 * [taylor]: Taking taylor expansion of N in N 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify 1 into 1 2.245 * [taylor]: Taking taylor expansion of 1.0 in N 2.245 * [backup-simplify]: Simplify 1.0 into 1.0 2.245 * [taylor]: Taking taylor expansion of N in N 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify 1 into 1 2.246 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.247 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.247 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.247 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.247 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.247 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.247 * [taylor]: Taking taylor expansion of N in N 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 1 into 1 2.247 * [taylor]: Taking taylor expansion of 1.0 in N 2.247 * [backup-simplify]: Simplify 1.0 into 1.0 2.247 * [taylor]: Taking taylor expansion of N in N 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 1 into 1 2.248 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.248 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.249 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.250 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.250 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.250 * [backup-simplify]: Simplify (+ 1 0) into 1 2.251 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.256 * [backup-simplify]: Simplify 1.0 into 1.0 2.257 * [backup-simplify]: Simplify (+ 0 0) into 0 2.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.263 * [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)) 2.264 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.265 * [backup-simplify]: Simplify (+ (* (/ -1/2 (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))) 2.266 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 2.266 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.266 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.266 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.266 * [taylor]: Taking taylor expansion of N in N 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.266 * [taylor]: Taking taylor expansion of N in N 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (/ 1 1) into 1 2.266 * [taylor]: Taking taylor expansion of 1.0 in N 2.266 * [backup-simplify]: Simplify 1.0 into 1.0 2.266 * [backup-simplify]: Simplify (+ 1 0) into 1 2.267 * [backup-simplify]: Simplify (* 0 1) into 0 2.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.268 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.268 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.268 * [backup-simplify]: Simplify (log 1) into 0 2.268 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.268 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.268 * [taylor]: Taking taylor expansion of N in N 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.268 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.268 * [taylor]: Taking taylor expansion of N in N 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.269 * [backup-simplify]: Simplify (/ 1 1) into 1 2.269 * [taylor]: Taking taylor expansion of 1.0 in N 2.269 * [backup-simplify]: Simplify 1.0 into 1.0 2.269 * [backup-simplify]: Simplify (+ 1 0) into 1 2.269 * [backup-simplify]: Simplify (* 0 1) into 0 2.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.270 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.271 * [backup-simplify]: Simplify (log 1) into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.271 * [backup-simplify]: Simplify (+ 0 0) into 0 2.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.277 * [backup-simplify]: Simplify 1.0 into 1.0 2.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.278 * [backup-simplify]: Simplify (+ 0 0) into 0 2.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.286 * [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 2.286 * [backup-simplify]: Simplify -0.5 into -0.5 2.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (+ 0 0) into 0 2.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.309 * [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 2.309 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.310 * [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)))) 2.310 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 2.310 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.310 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.310 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.311 * [taylor]: Taking taylor expansion of -1 in N 2.311 * [backup-simplify]: Simplify -1 into -1 2.311 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.311 * [taylor]: Taking taylor expansion of N in N 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 1 into 1 2.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.311 * [taylor]: Taking taylor expansion of 1.0 in N 2.311 * [backup-simplify]: Simplify 1.0 into 1.0 2.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.311 * [taylor]: Taking taylor expansion of N in N 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 1 into 1 2.312 * [backup-simplify]: Simplify (/ 1 1) into 1 2.312 * [backup-simplify]: Simplify (- 1) into -1 2.313 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.314 * [backup-simplify]: Simplify (* 0 -1) into 0 2.315 * [backup-simplify]: Simplify (* -1 0) into 0 2.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.316 * [backup-simplify]: Simplify (- 0) into 0 2.316 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.317 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.318 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.319 * [backup-simplify]: Simplify (log 1) into 0 2.319 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.319 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.319 * [taylor]: Taking taylor expansion of -1 in N 2.319 * [backup-simplify]: Simplify -1 into -1 2.319 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.319 * [taylor]: Taking taylor expansion of N in N 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 1 into 1 2.319 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.319 * [taylor]: Taking taylor expansion of 1.0 in N 2.319 * [backup-simplify]: Simplify 1.0 into 1.0 2.319 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.319 * [taylor]: Taking taylor expansion of N in N 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 1 into 1 2.319 * [backup-simplify]: Simplify (/ 1 1) into 1 2.320 * [backup-simplify]: Simplify (- 1) into -1 2.320 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.321 * [backup-simplify]: Simplify (* 0 -1) into 0 2.321 * [backup-simplify]: Simplify (* -1 0) into 0 2.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify (- 0) into 0 2.323 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.323 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.324 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.324 * [backup-simplify]: Simplify (log 1) into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.326 * [backup-simplify]: Simplify (- 0) into 0 2.326 * [backup-simplify]: Simplify (+ 0 0) into 0 2.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.330 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.338 * [backup-simplify]: Simplify -1.0 into -1.0 2.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.339 * [backup-simplify]: Simplify (- 0) into 0 2.340 * [backup-simplify]: Simplify (+ 0 0) into 0 2.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.342 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.349 * [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 2.350 * [backup-simplify]: Simplify -0.5 into -0.5 2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.350 * [backup-simplify]: Simplify (- 0) into 0 2.351 * [backup-simplify]: Simplify (+ 0 0) into 0 2.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.353 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.364 * [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 2.364 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.364 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.365 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.365 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 2.365 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.365 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.365 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.365 * [taylor]: Taking taylor expansion of N in N 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 1 into 1 2.365 * [taylor]: Taking taylor expansion of 1.0 in N 2.365 * [backup-simplify]: Simplify 1.0 into 1.0 2.365 * [taylor]: Taking taylor expansion of N in N 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 1 into 1 2.365 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.366 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.366 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.366 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.366 * [taylor]: Taking taylor expansion of N in N 2.366 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify 1 into 1 2.366 * [taylor]: Taking taylor expansion of 1.0 in N 2.366 * [backup-simplify]: Simplify 1.0 into 1.0 2.366 * [taylor]: Taking taylor expansion of N in N 2.366 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify 1 into 1 2.366 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.366 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.366 * [backup-simplify]: Simplify 1.0 into 1.0 2.367 * [backup-simplify]: Simplify (+ 1 0) into 1 2.367 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.367 * [backup-simplify]: Simplify 1 into 1 2.368 * [backup-simplify]: Simplify (+ 0 0) into 0 2.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.368 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify (+ 0 0) into 0 2.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify (+ 0 0) into 0 2.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify (+ 0 0) into 0 2.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify (+ 0 0) into 0 2.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify (+ 0 0) into 0 2.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 2.376 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 2.376 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.376 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.376 * [taylor]: Taking taylor expansion of N in N 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.376 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.376 * [taylor]: Taking taylor expansion of N in N 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [backup-simplify]: Simplify (/ 1 1) into 1 2.376 * [taylor]: Taking taylor expansion of 1.0 in N 2.376 * [backup-simplify]: Simplify 1.0 into 1.0 2.376 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.376 * [taylor]: Taking taylor expansion of N in N 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.376 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.376 * [taylor]: Taking taylor expansion of N in N 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.377 * [backup-simplify]: Simplify (/ 1 1) into 1 2.377 * [taylor]: Taking taylor expansion of 1.0 in N 2.377 * [backup-simplify]: Simplify 1.0 into 1.0 2.377 * [backup-simplify]: Simplify (+ 1 0) into 1 2.378 * [backup-simplify]: Simplify (* 0 1) into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.379 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.380 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.380 * [backup-simplify]: Simplify 1 into 1 2.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.381 * [backup-simplify]: Simplify (+ 0 0) into 0 2.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.383 * [backup-simplify]: Simplify 1.0 into 1.0 2.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.385 * [backup-simplify]: Simplify (+ 0 0) into 0 2.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.386 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify (+ 0 0) into 0 2.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.388 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.390 * [backup-simplify]: Simplify (+ 0 0) into 0 2.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.392 * [backup-simplify]: Simplify (+ 0 0) into 0 2.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.394 * [backup-simplify]: Simplify 0 into 0 2.395 * [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 2.395 * [backup-simplify]: Simplify (+ 0 0) into 0 2.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.397 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.399 * [backup-simplify]: Simplify (+ 0 0) into 0 2.401 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.402 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.402 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.402 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.402 * [taylor]: Taking taylor expansion of -1 in N 2.402 * [backup-simplify]: Simplify -1 into -1 2.402 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.402 * [taylor]: Taking taylor expansion of N in N 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 1 into 1 2.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.402 * [taylor]: Taking taylor expansion of 1.0 in N 2.402 * [backup-simplify]: Simplify 1.0 into 1.0 2.402 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.402 * [taylor]: Taking taylor expansion of N in N 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 1 into 1 2.403 * [backup-simplify]: Simplify (/ 1 1) into 1 2.403 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.403 * [taylor]: Taking taylor expansion of -1 in N 2.403 * [backup-simplify]: Simplify -1 into -1 2.403 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.403 * [taylor]: Taking taylor expansion of N in N 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 1 into 1 2.403 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.403 * [taylor]: Taking taylor expansion of 1.0 in N 2.403 * [backup-simplify]: Simplify 1.0 into 1.0 2.403 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.403 * [taylor]: Taking taylor expansion of N in N 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 1 into 1 2.403 * [backup-simplify]: Simplify (/ 1 1) into 1 2.404 * [backup-simplify]: Simplify (- 1) into -1 2.404 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.405 * [backup-simplify]: Simplify (* 0 -1) into 0 2.405 * [backup-simplify]: Simplify (* -1 0) into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.406 * [backup-simplify]: Simplify (- 0) into 0 2.407 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.408 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.408 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.408 * [backup-simplify]: Simplify 1 into 1 2.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.410 * [backup-simplify]: Simplify (- 0) into 0 2.410 * [backup-simplify]: Simplify (+ 0 0) into 0 2.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.415 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.415 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.417 * [backup-simplify]: Simplify (- 0) into 0 2.417 * [backup-simplify]: Simplify (+ 0 0) into 0 2.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.419 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.419 * [backup-simplify]: Simplify (- 0) into 0 2.420 * [backup-simplify]: Simplify (+ 0 0) into 0 2.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.421 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.422 * [backup-simplify]: Simplify (- 0) into 0 2.422 * [backup-simplify]: Simplify (+ 0 0) into 0 2.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.424 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.424 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.425 * [backup-simplify]: Simplify (- 0) into 0 2.425 * [backup-simplify]: Simplify (+ 0 0) into 0 2.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.429 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.429 * [backup-simplify]: Simplify 0 into 0 2.429 * [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 2.430 * [backup-simplify]: Simplify (- 0) into 0 2.430 * [backup-simplify]: Simplify (+ 0 0) into 0 2.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.432 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.433 * [backup-simplify]: Simplify (- 0) into 0 2.433 * [backup-simplify]: Simplify (+ 0 0) into 0 2.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.436 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.436 * * * [progress]: simplifying candidates 2.437 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (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)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 2.439 * * [simplify]: Extracting # 0 : cost 67 inf + 0 2.439 * * [simplify]: Extracting # 1 : cost 87 inf + 0 2.439 * * [simplify]: Extracting # 2 : cost 94 inf + 73 2.439 * * [simplify]: Extracting # 3 : cost 74 inf + 2666 2.440 * * [simplify]: Extracting # 4 : cost 31 inf + 10069 2.442 * * [simplify]: Extracting # 5 : cost 11 inf + 14883 2.443 * * [simplify]: Extracting # 6 : cost 7 inf + 15935 2.445 * * [simplify]: Extracting # 7 : cost 4 inf + 17014 2.447 * * [simplify]: Extracting # 8 : cost 2 inf + 18112 2.449 * * [simplify]: Extracting # 9 : cost 1 inf + 18527 2.450 * * [simplify]: Extracting # 10 : cost 0 inf + 19274 2.452 * * [simplify]: iteration 0 : 108 enodes (cost 17921 ) 2.476 * * [simplify]: Extracting # 0 : cost 0 inf + 19274 2.478 * * [simplify]: Extracting # 1 : cost 46 inf + 17736 2.481 * * [simplify]: Extracting # 2 : cost 2 inf + 24544 2.484 * * [simplify]: Extracting # 3 : cost 0 inf + 23139 2.487 * * [simplify]: Extracting # 4 : cost 0 inf + 22457 2.490 * * [simplify]: iteration 1 : 243 enodes (cost 15986 ) 2.561 * * [simplify]: Extracting # 0 : cost 0 inf + 22457 2.565 * * [simplify]: Extracting # 1 : cost 131 inf + 21627 2.572 * * [simplify]: Extracting # 2 : cost 3 inf + 41746 2.585 * * [simplify]: Extracting # 3 : cost 0 inf + 41841 2.597 * * [simplify]: Extracting # 4 : cost 0 inf + 41401 2.604 * * [simplify]: Extracting # 5 : cost 0 inf + 41321 2.610 * * [simplify]: iteration 2 : 619 enodes (cost 15504 ) 2.995 * * [simplify]: Extracting # 0 : cost 0 inf + 41321 3.011 * * [simplify]: Extracting # 1 : cost 687 inf + 40292 3.057 * * [simplify]: Extracting # 2 : cost 38 inf + 136311 3.113 * * [simplify]: Extracting # 3 : cost 2 inf + 143688 3.143 * * [simplify]: Extracting # 4 : cost 0 inf + 144111 3.183 * * [simplify]: iteration 3 : 2289 enodes (cost 15504 ) 3.896 * * [simplify]: Extracting # 0 : cost 0 inf + 144111 3.990 * * [simplify]: Extracting # 1 : cost 1294 inf + 141826 4.082 * * [simplify]: Extracting # 2 : cost 36 inf + 351219 4.185 * * [simplify]: Extracting # 3 : cost 9 inf + 353418 4.277 * * [simplify]: Extracting # 4 : cost 0 inf + 355818 4.404 * * [simplify]: iteration complete: 5001 enodes (cost 15504 ) 4.405 * [simplify]: Simplified to: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (* (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ 1.0 N))) (log (/ (sqrt (+ N 1.0)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (* (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (cbrt (+ N 1.0)) (cbrt N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ 1.0 N)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (sqrt (+ 1.0 N)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (- (- (+ (log 1.0) (* 1.0 N)) (log N)) (* 1/2 (* (/ N 1.0) (/ N 1.0)))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) 4.410 * * * [progress]: adding candidates to table 4.674 * * [progress]: iteration 3 / 4 4.674 * * * [progress]: picking best candidate 4.686 * * * * [pick]: Picked # 4.686 * * * [progress]: localizing error 4.722 * * * [progress]: generating rewritten candidates 4.722 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.792 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 4.801 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 4.809 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 4.817 * * * [progress]: generating series expansions 4.817 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.818 * [backup-simplify]: Simplify (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)))) into (log (/ (+ N 1.0) N)) 4.818 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 4.818 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.818 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.818 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.818 * [taylor]: Taking taylor expansion of N in N 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 1 into 1 4.818 * [taylor]: Taking taylor expansion of 1.0 in N 4.818 * [backup-simplify]: Simplify 1.0 into 1.0 4.818 * [taylor]: Taking taylor expansion of N in N 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 1 into 1 4.818 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.819 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.819 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.819 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.819 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.819 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.819 * [taylor]: Taking taylor expansion of N in N 4.819 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 1 into 1 4.819 * [taylor]: Taking taylor expansion of 1.0 in N 4.819 * [backup-simplify]: Simplify 1.0 into 1.0 4.819 * [taylor]: Taking taylor expansion of N in N 4.819 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 1 into 1 4.819 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.820 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.820 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.821 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 4.821 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 4.821 * [backup-simplify]: Simplify (+ 1 0) into 1 4.822 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 4.826 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.826 * [backup-simplify]: Simplify 1.0 into 1.0 4.826 * [backup-simplify]: Simplify (+ 0 0) into 0 4.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.833 * [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)) 4.834 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 4.835 * [backup-simplify]: Simplify (+ (* (/ -1/2 (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))) 4.836 * [backup-simplify]: Simplify (log (* (* (cbrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) (cbrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) (cbrt (/ (+ (/ 1 N) 1.0) (/ 1 N))))) into (log (* N (+ (/ 1 N) 1.0))) 4.836 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 4.836 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.836 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.836 * [taylor]: Taking taylor expansion of N in N 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 1 into 1 4.836 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.836 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.836 * [taylor]: Taking taylor expansion of N in N 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 1 into 1 4.836 * [backup-simplify]: Simplify (/ 1 1) into 1 4.836 * [taylor]: Taking taylor expansion of 1.0 in N 4.836 * [backup-simplify]: Simplify 1.0 into 1.0 4.837 * [backup-simplify]: Simplify (+ 1 0) into 1 4.837 * [backup-simplify]: Simplify (* 0 1) into 0 4.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.838 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.838 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.838 * [backup-simplify]: Simplify (log 1) into 0 4.838 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.839 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.839 * [taylor]: Taking taylor expansion of N in N 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 1 into 1 4.839 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.839 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.839 * [taylor]: Taking taylor expansion of N in N 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 1 into 1 4.839 * [backup-simplify]: Simplify (/ 1 1) into 1 4.839 * [taylor]: Taking taylor expansion of 1.0 in N 4.839 * [backup-simplify]: Simplify 1.0 into 1.0 4.839 * [backup-simplify]: Simplify (+ 1 0) into 1 4.840 * [backup-simplify]: Simplify (* 0 1) into 0 4.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.840 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.841 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.841 * [backup-simplify]: Simplify (log 1) into 0 4.841 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.842 * [backup-simplify]: Simplify (+ 0 0) into 0 4.843 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.847 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.847 * [backup-simplify]: Simplify 1.0 into 1.0 4.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.848 * [backup-simplify]: Simplify (+ 0 0) into 0 4.848 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 4.858 * [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 4.858 * [backup-simplify]: Simplify -0.5 into -0.5 4.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.860 * [backup-simplify]: Simplify (+ 0 0) into 0 4.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 4.877 * [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 4.877 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.877 * [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)))) 4.878 * [backup-simplify]: Simplify (log (* (* (cbrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (cbrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) (cbrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (log (* N (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))))) 4.878 * [approximate]: Taking taylor expansion of (log (* N (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))))) in (N) around 0 4.878 * [taylor]: Taking taylor expansion of (log (* N (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))))) in N 4.878 * [taylor]: Taking taylor expansion of (* N (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N)))) in N 4.878 * [taylor]: Taking taylor expansion of N in N 4.878 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify 1 into 1 4.878 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))) in N 4.878 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in N 4.878 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.878 * [taylor]: Taking taylor expansion of -1 in N 4.878 * [backup-simplify]: Simplify -1 into -1 4.879 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.879 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.879 * [taylor]: Taking taylor expansion of 1.0 in N 4.879 * [backup-simplify]: Simplify 1.0 into 1.0 4.879 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.879 * [taylor]: Taking taylor expansion of N in N 4.879 * [backup-simplify]: Simplify 0 into 0 4.879 * [backup-simplify]: Simplify 1 into 1 4.880 * [backup-simplify]: Simplify (/ 1 1) into 1 4.881 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 4.882 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 4.882 * [backup-simplify]: Simplify (- 1) into -1 4.883 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.884 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) -1) into 1 4.884 * [backup-simplify]: Simplify (* 0 1) into 0 4.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.885 * [backup-simplify]: Simplify (- 0) into 0 4.885 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.885 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 4.886 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 4.891 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 1.0) (* 0 -1)) into (- 1.0) 4.891 * [backup-simplify]: Simplify (+ (* 0 (- 1.0)) (* 1 1)) into 1 4.892 * [backup-simplify]: Simplify (log 1) into 0 4.892 * [taylor]: Taking taylor expansion of (log (* N (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))))) in N 4.892 * [taylor]: Taking taylor expansion of (* N (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N)))) in N 4.892 * [taylor]: Taking taylor expansion of N in N 4.892 * [backup-simplify]: Simplify 0 into 0 4.892 * [backup-simplify]: Simplify 1 into 1 4.892 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (- 1.0 (/ 1 N))) in N 4.892 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in N 4.892 * [taylor]: Taking taylor expansion of (cbrt -1) in N 4.892 * [taylor]: Taking taylor expansion of -1 in N 4.892 * [backup-simplify]: Simplify -1 into -1 4.892 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.893 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.893 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.893 * [taylor]: Taking taylor expansion of 1.0 in N 4.893 * [backup-simplify]: Simplify 1.0 into 1.0 4.893 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.893 * [taylor]: Taking taylor expansion of N in N 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify 1 into 1 4.893 * [backup-simplify]: Simplify (/ 1 1) into 1 4.894 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 4.895 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 4.896 * [backup-simplify]: Simplify (- 1) into -1 4.896 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.897 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) -1) into 1 4.897 * [backup-simplify]: Simplify (* 0 1) into 0 4.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.898 * [backup-simplify]: Simplify (- 0) into 0 4.898 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.899 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 4.899 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 4.901 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 1.0) (* 0 -1)) into (- 1.0) 4.902 * [backup-simplify]: Simplify (+ (* 0 (- 1.0)) (* 1 1)) into 1 4.902 * [backup-simplify]: Simplify (log 1) into 0 4.902 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.903 * [backup-simplify]: Simplify (- 0) into 0 4.903 * [backup-simplify]: Simplify (+ 0 0) into 0 4.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.905 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.907 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 4.907 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 1.0) (* 0 -1))) into 0 4.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 1.0)) (* 0 1))) into (- 1.0) 4.916 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 4.916 * [backup-simplify]: Simplify -1.0 into -1.0 4.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.917 * [backup-simplify]: Simplify (- 0) into 0 4.917 * [backup-simplify]: Simplify (+ 0 0) into 0 4.918 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.918 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.919 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 4.920 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 1.0)) (* 0 1)))) into 0 4.929 * [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 4.929 * [backup-simplify]: Simplify -0.5 into -0.5 4.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.930 * [backup-simplify]: Simplify (- 0) into 0 4.931 * [backup-simplify]: Simplify (+ 0 0) into 0 4.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.932 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 4.933 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))))) into 0 4.934 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 4.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 1.0)) (* 0 1))))) into 0 4.946 * [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 4.946 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.946 * [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)))) 4.946 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 4.946 * [backup-simplify]: Simplify (cbrt (/ (+ N 1.0) N)) into (pow (/ (+ N 1.0) N) 1/3) 4.946 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 4.946 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 4.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 4.946 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 4.946 * [taylor]: Taking taylor expansion of 1/3 in N 4.946 * [backup-simplify]: Simplify 1/3 into 1/3 4.946 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.946 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.946 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.946 * [taylor]: Taking taylor expansion of N in N 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 1 into 1 4.946 * [taylor]: Taking taylor expansion of 1.0 in N 4.946 * [backup-simplify]: Simplify 1.0 into 1.0 4.946 * [taylor]: Taking taylor expansion of N in N 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 1 into 1 4.947 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.947 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.947 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.948 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 4.948 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 4.948 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 4.948 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 4.948 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 4.949 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 4.949 * [taylor]: Taking taylor expansion of 1/3 in N 4.949 * [backup-simplify]: Simplify 1/3 into 1/3 4.949 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.949 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.949 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.949 * [taylor]: Taking taylor expansion of N in N 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify 1 into 1 4.949 * [taylor]: Taking taylor expansion of 1.0 in N 4.949 * [backup-simplify]: Simplify 1.0 into 1.0 4.949 * [taylor]: Taking taylor expansion of N in N 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify 1 into 1 4.949 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.949 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.950 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.950 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 4.950 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 4.951 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 4.951 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 4.951 * [backup-simplify]: Simplify (+ 1 0) into 1 4.952 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 4.955 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.956 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 4.956 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 4.958 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 4.958 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 4.959 * [backup-simplify]: Simplify (+ 0 0) into 0 4.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.965 * [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)) 4.966 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 4.968 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 4.978 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.982 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 4.990 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) N) (exp (* 1/3 (- (log 1.0) (log N)))))) into (- (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* 0.05555555555555555 (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N)))))) (exp (* 1/3 (- (log 1.0) (log N)))))) (* 1/6 (/ (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N))))) (pow 1.0 2)))) 4.990 * [backup-simplify]: Simplify (cbrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (* N (+ (/ 1 N) 1.0)) 1/3) 4.990 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 4.990 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 4.990 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 4.990 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 4.990 * [taylor]: Taking taylor expansion of 1/3 in N 4.990 * [backup-simplify]: Simplify 1/3 into 1/3 4.990 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.990 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.990 * [taylor]: Taking taylor expansion of N in N 4.990 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify 1 into 1 4.990 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.990 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.990 * [taylor]: Taking taylor expansion of N in N 4.990 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify 1 into 1 4.991 * [backup-simplify]: Simplify (/ 1 1) into 1 4.991 * [taylor]: Taking taylor expansion of 1.0 in N 4.991 * [backup-simplify]: Simplify 1.0 into 1.0 4.991 * [backup-simplify]: Simplify (+ 1 0) into 1 4.992 * [backup-simplify]: Simplify (* 0 1) into 0 4.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.993 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.994 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.994 * [backup-simplify]: Simplify (log 1) into 0 4.995 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.996 * [backup-simplify]: Simplify (+ 0 0) into 0 4.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.003 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.004 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 5.004 * [backup-simplify]: Simplify (exp 0) into 1 5.004 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 5.004 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 5.004 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 5.004 * [taylor]: Taking taylor expansion of 1/3 in N 5.004 * [backup-simplify]: Simplify 1/3 into 1/3 5.004 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.004 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.004 * [taylor]: Taking taylor expansion of N in N 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 1 into 1 5.004 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.004 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.004 * [taylor]: Taking taylor expansion of N in N 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 1 into 1 5.005 * [backup-simplify]: Simplify (/ 1 1) into 1 5.005 * [taylor]: Taking taylor expansion of 1.0 in N 5.005 * [backup-simplify]: Simplify 1.0 into 1.0 5.005 * [backup-simplify]: Simplify (+ 1 0) into 1 5.005 * [backup-simplify]: Simplify (* 0 1) into 0 5.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.006 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.006 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.007 * [backup-simplify]: Simplify (log 1) into 0 5.007 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.008 * [backup-simplify]: Simplify (+ 0 0) into 0 5.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.014 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 5.015 * [backup-simplify]: Simplify (exp 0) into 1 5.015 * [backup-simplify]: Simplify 1 into 1 5.017 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 5.017 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.017 * [backup-simplify]: Simplify (+ 0 0) into 0 5.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 5.025 * [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 5.026 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 5.030 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 5.030 * [backup-simplify]: Simplify -0.1111111111111111 into -0.1111111111111111 5.031 * [backup-simplify]: Simplify (+ (* -0.1111111111111111 (pow (/ 1 N) 2)) (+ (* 0.3333333333333333 (/ 1 N)) 1)) into (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) 5.031 * [backup-simplify]: Simplify (cbrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) 5.031 * [approximate]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in (N) around 0 5.031 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in N 5.031 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 5.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 5.031 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 5.031 * [taylor]: Taking taylor expansion of 1/3 in N 5.031 * [backup-simplify]: Simplify 1/3 into 1/3 5.031 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 5.031 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.031 * [taylor]: Taking taylor expansion of N in N 5.031 * [backup-simplify]: Simplify 0 into 0 5.031 * [backup-simplify]: Simplify 1 into 1 5.031 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.031 * [taylor]: Taking taylor expansion of 1.0 in N 5.031 * [backup-simplify]: Simplify 1.0 into 1.0 5.031 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.031 * [taylor]: Taking taylor expansion of N in N 5.031 * [backup-simplify]: Simplify 0 into 0 5.031 * [backup-simplify]: Simplify 1 into 1 5.031 * [backup-simplify]: Simplify (/ 1 1) into 1 5.032 * [backup-simplify]: Simplify (- 1) into -1 5.032 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.032 * [backup-simplify]: Simplify (* 0 -1) into 0 5.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.033 * [backup-simplify]: Simplify (- 0) into 0 5.033 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.034 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.035 * [backup-simplify]: Simplify (log -1) into (log -1) 5.035 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.036 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.036 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.036 * [taylor]: Taking taylor expansion of -1 in N 5.036 * [backup-simplify]: Simplify -1 into -1 5.037 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.037 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.037 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in N 5.037 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 5.037 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 5.037 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 5.037 * [taylor]: Taking taylor expansion of 1/3 in N 5.037 * [backup-simplify]: Simplify 1/3 into 1/3 5.037 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 5.037 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.037 * [taylor]: Taking taylor expansion of N in N 5.037 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify 1 into 1 5.038 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.038 * [taylor]: Taking taylor expansion of 1.0 in N 5.038 * [backup-simplify]: Simplify 1.0 into 1.0 5.038 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.038 * [taylor]: Taking taylor expansion of N in N 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify 1 into 1 5.038 * [backup-simplify]: Simplify (/ 1 1) into 1 5.039 * [backup-simplify]: Simplify (- 1) into -1 5.039 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.040 * [backup-simplify]: Simplify (* 0 -1) into 0 5.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.041 * [backup-simplify]: Simplify (- 0) into 0 5.041 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.042 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.043 * [backup-simplify]: Simplify (log -1) into (log -1) 5.044 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.045 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.045 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.045 * [taylor]: Taking taylor expansion of -1 in N 5.045 * [backup-simplify]: Simplify -1 into -1 5.045 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.046 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.048 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 5.049 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 5.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.052 * [backup-simplify]: Simplify (- 0) into 0 5.052 * [backup-simplify]: Simplify (+ 0 0) into 0 5.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.065 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 5.071 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 5.076 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -0.3333333333333333 (pow -1 1/3)) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) 5.080 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) into (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) 5.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.083 * [backup-simplify]: Simplify (- 0) into 0 5.083 * [backup-simplify]: Simplify (+ 0 0) into 0 5.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 5.096 * [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 5.098 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 5.111 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 5.116 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -0.3333333333333333 (pow -1 1/3)) 0) (* (* -0.1111111111111111 (pow -1 1/3)) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) 5.118 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) into (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) 5.124 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) (/ 1 (- N))) (* (cbrt -1) (pow -1 1/3)))) into (- (+ (* (cbrt -1) (pow -1 1/3)) (* 0.3333333333333333 (* (/ (cbrt -1) N) (pow -1 1/3)))) (* 0.1111111111111111 (* (/ (cbrt -1) (pow N 2)) (pow -1 1/3)))) 5.124 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 5.124 * [backup-simplify]: Simplify (cbrt (/ (+ N 1.0) N)) into (pow (/ (+ N 1.0) N) 1/3) 5.124 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 5.124 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 5.125 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 5.125 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 5.125 * [taylor]: Taking taylor expansion of 1/3 in N 5.125 * [backup-simplify]: Simplify 1/3 into 1/3 5.125 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.125 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.125 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.125 * [taylor]: Taking taylor expansion of N in N 5.125 * [backup-simplify]: Simplify 0 into 0 5.125 * [backup-simplify]: Simplify 1 into 1 5.125 * [taylor]: Taking taylor expansion of 1.0 in N 5.125 * [backup-simplify]: Simplify 1.0 into 1.0 5.125 * [taylor]: Taking taylor expansion of N in N 5.125 * [backup-simplify]: Simplify 0 into 0 5.125 * [backup-simplify]: Simplify 1 into 1 5.125 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.125 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.126 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.126 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.126 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 5.127 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 5.127 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 5.127 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 5.127 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 5.127 * [taylor]: Taking taylor expansion of 1/3 in N 5.127 * [backup-simplify]: Simplify 1/3 into 1/3 5.127 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.127 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.127 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.127 * [taylor]: Taking taylor expansion of N in N 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 1 into 1 5.127 * [taylor]: Taking taylor expansion of 1.0 in N 5.127 * [backup-simplify]: Simplify 1.0 into 1.0 5.127 * [taylor]: Taking taylor expansion of N in N 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 1 into 1 5.127 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.128 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.128 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.128 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.129 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 5.129 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 5.129 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 5.130 * [backup-simplify]: Simplify (+ 1 0) into 1 5.130 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 5.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.134 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.135 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 5.136 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 5.137 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 5.137 * [backup-simplify]: Simplify (+ 0 0) into 0 5.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.144 * [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)) 5.145 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.147 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 5.153 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.155 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.157 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) N) (exp (* 1/3 (- (log 1.0) (log N)))))) into (- (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* 0.05555555555555555 (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N)))))) (exp (* 1/3 (- (log 1.0) (log N)))))) (* 1/6 (/ (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N))))) (pow 1.0 2)))) 5.158 * [backup-simplify]: Simplify (cbrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (* N (+ (/ 1 N) 1.0)) 1/3) 5.158 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 5.158 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 5.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 5.158 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 5.158 * [taylor]: Taking taylor expansion of 1/3 in N 5.158 * [backup-simplify]: Simplify 1/3 into 1/3 5.158 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.158 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.158 * [taylor]: Taking taylor expansion of N in N 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 1 into 1 5.158 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.158 * [taylor]: Taking taylor expansion of N in N 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 1 into 1 5.158 * [backup-simplify]: Simplify (/ 1 1) into 1 5.158 * [taylor]: Taking taylor expansion of 1.0 in N 5.158 * [backup-simplify]: Simplify 1.0 into 1.0 5.158 * [backup-simplify]: Simplify (+ 1 0) into 1 5.159 * [backup-simplify]: Simplify (* 0 1) into 0 5.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.159 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.160 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.160 * [backup-simplify]: Simplify (log 1) into 0 5.160 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.161 * [backup-simplify]: Simplify (+ 0 0) into 0 5.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.169 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 5.169 * [backup-simplify]: Simplify (exp 0) into 1 5.169 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 5.169 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 5.169 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 5.169 * [taylor]: Taking taylor expansion of 1/3 in N 5.169 * [backup-simplify]: Simplify 1/3 into 1/3 5.169 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.169 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.169 * [taylor]: Taking taylor expansion of N in N 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify 1 into 1 5.169 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.169 * [taylor]: Taking taylor expansion of N in N 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify 1 into 1 5.169 * [backup-simplify]: Simplify (/ 1 1) into 1 5.169 * [taylor]: Taking taylor expansion of 1.0 in N 5.169 * [backup-simplify]: Simplify 1.0 into 1.0 5.170 * [backup-simplify]: Simplify (+ 1 0) into 1 5.170 * [backup-simplify]: Simplify (* 0 1) into 0 5.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.171 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.171 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.171 * [backup-simplify]: Simplify (log 1) into 0 5.172 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.173 * [backup-simplify]: Simplify (+ 0 0) into 0 5.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.179 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 5.179 * [backup-simplify]: Simplify (exp 0) into 1 5.179 * [backup-simplify]: Simplify 1 into 1 5.181 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 5.181 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.182 * [backup-simplify]: Simplify (+ 0 0) into 0 5.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 5.189 * [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 5.190 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 5.194 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 5.194 * [backup-simplify]: Simplify -0.1111111111111111 into -0.1111111111111111 5.195 * [backup-simplify]: Simplify (+ (* -0.1111111111111111 (pow (/ 1 N) 2)) (+ (* 0.3333333333333333 (/ 1 N)) 1)) into (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) 5.195 * [backup-simplify]: Simplify (cbrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) 5.195 * [approximate]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in (N) around 0 5.195 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in N 5.195 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 5.195 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 5.195 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 5.195 * [taylor]: Taking taylor expansion of 1/3 in N 5.195 * [backup-simplify]: Simplify 1/3 into 1/3 5.195 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 5.195 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.195 * [taylor]: Taking taylor expansion of N in N 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify 1 into 1 5.195 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.195 * [taylor]: Taking taylor expansion of 1.0 in N 5.195 * [backup-simplify]: Simplify 1.0 into 1.0 5.195 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.195 * [taylor]: Taking taylor expansion of N in N 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify 1 into 1 5.195 * [backup-simplify]: Simplify (/ 1 1) into 1 5.197 * [backup-simplify]: Simplify (- 1) into -1 5.198 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.198 * [backup-simplify]: Simplify (* 0 -1) into 0 5.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.199 * [backup-simplify]: Simplify (- 0) into 0 5.199 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.199 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.200 * [backup-simplify]: Simplify (log -1) into (log -1) 5.200 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.201 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.201 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.201 * [taylor]: Taking taylor expansion of -1 in N 5.201 * [backup-simplify]: Simplify -1 into -1 5.202 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.202 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.202 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in N 5.202 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 5.202 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 5.202 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 5.202 * [taylor]: Taking taylor expansion of 1/3 in N 5.202 * [backup-simplify]: Simplify 1/3 into 1/3 5.202 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 5.202 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.202 * [taylor]: Taking taylor expansion of N in N 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 1 into 1 5.202 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.202 * [taylor]: Taking taylor expansion of 1.0 in N 5.202 * [backup-simplify]: Simplify 1.0 into 1.0 5.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.202 * [taylor]: Taking taylor expansion of N in N 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 1 into 1 5.203 * [backup-simplify]: Simplify (/ 1 1) into 1 5.203 * [backup-simplify]: Simplify (- 1) into -1 5.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.203 * [backup-simplify]: Simplify (* 0 -1) into 0 5.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.204 * [backup-simplify]: Simplify (- 0) into 0 5.204 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.205 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.205 * [backup-simplify]: Simplify (log -1) into (log -1) 5.206 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.207 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.207 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.207 * [taylor]: Taking taylor expansion of -1 in N 5.207 * [backup-simplify]: Simplify -1 into -1 5.207 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.207 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.208 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 5.209 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 5.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.210 * [backup-simplify]: Simplify (- 0) into 0 5.210 * [backup-simplify]: Simplify (+ 0 0) into 0 5.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.218 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.220 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 5.224 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 5.226 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -0.3333333333333333 (pow -1 1/3)) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) 5.228 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) into (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) 5.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.230 * [backup-simplify]: Simplify (- 0) into 0 5.231 * [backup-simplify]: Simplify (+ 0 0) into 0 5.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 5.240 * [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 5.243 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 5.253 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 5.261 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -0.3333333333333333 (pow -1 1/3)) 0) (* (* -0.1111111111111111 (pow -1 1/3)) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) 5.265 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) into (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) 5.275 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) (/ 1 (- N))) (* (cbrt -1) (pow -1 1/3)))) into (- (+ (* (cbrt -1) (pow -1 1/3)) (* 0.3333333333333333 (* (/ (cbrt -1) N) (pow -1 1/3)))) (* 0.1111111111111111 (* (/ (cbrt -1) (pow N 2)) (pow -1 1/3)))) 5.275 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 5.275 * [backup-simplify]: Simplify (cbrt (/ (+ N 1.0) N)) into (pow (/ (+ N 1.0) N) 1/3) 5.275 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 5.275 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 5.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 5.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 5.276 * [taylor]: Taking taylor expansion of 1/3 in N 5.276 * [backup-simplify]: Simplify 1/3 into 1/3 5.276 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.276 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.276 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.276 * [taylor]: Taking taylor expansion of N in N 5.276 * [backup-simplify]: Simplify 0 into 0 5.276 * [backup-simplify]: Simplify 1 into 1 5.276 * [taylor]: Taking taylor expansion of 1.0 in N 5.276 * [backup-simplify]: Simplify 1.0 into 1.0 5.276 * [taylor]: Taking taylor expansion of N in N 5.276 * [backup-simplify]: Simplify 0 into 0 5.276 * [backup-simplify]: Simplify 1 into 1 5.276 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.277 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.277 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.278 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.279 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 5.279 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 5.279 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 5.279 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 5.279 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 5.279 * [taylor]: Taking taylor expansion of 1/3 in N 5.279 * [backup-simplify]: Simplify 1/3 into 1/3 5.279 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.279 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.279 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.279 * [taylor]: Taking taylor expansion of N in N 5.279 * [backup-simplify]: Simplify 0 into 0 5.279 * [backup-simplify]: Simplify 1 into 1 5.280 * [taylor]: Taking taylor expansion of 1.0 in N 5.280 * [backup-simplify]: Simplify 1.0 into 1.0 5.280 * [taylor]: Taking taylor expansion of N in N 5.280 * [backup-simplify]: Simplify 0 into 0 5.280 * [backup-simplify]: Simplify 1 into 1 5.280 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.281 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.282 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.283 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.283 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 5.284 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 5.284 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 5.285 * [backup-simplify]: Simplify (+ 1 0) into 1 5.286 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 5.291 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.292 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.293 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log 1.0) (log N)))) into 0.3333333333333333 5.296 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 5.297 * [backup-simplify]: Simplify (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) into (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) 5.297 * [backup-simplify]: Simplify (+ 0 0) into 0 5.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.308 * [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)) 5.309 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.312 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (- (log 1.0) (log N))))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 5.326 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.329 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.334 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log 1.0) (log N)))) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow N 2)) (+ (* (* 0.3333333333333333 (exp (* 1/3 (- (log 1.0) (log N))))) N) (exp (* 1/3 (- (log 1.0) (log N)))))) into (- (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* 0.05555555555555555 (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N)))))) (exp (* 1/3 (- (log 1.0) (log N)))))) (* 1/6 (/ (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N))))) (pow 1.0 2)))) 5.334 * [backup-simplify]: Simplify (cbrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (pow (* N (+ (/ 1 N) 1.0)) 1/3) 5.334 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 5.335 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 5.335 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 5.335 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 5.335 * [taylor]: Taking taylor expansion of 1/3 in N 5.335 * [backup-simplify]: Simplify 1/3 into 1/3 5.335 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.335 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.335 * [taylor]: Taking taylor expansion of N in N 5.335 * [backup-simplify]: Simplify 0 into 0 5.335 * [backup-simplify]: Simplify 1 into 1 5.335 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.335 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.335 * [taylor]: Taking taylor expansion of N in N 5.335 * [backup-simplify]: Simplify 0 into 0 5.335 * [backup-simplify]: Simplify 1 into 1 5.335 * [backup-simplify]: Simplify (/ 1 1) into 1 5.335 * [taylor]: Taking taylor expansion of 1.0 in N 5.335 * [backup-simplify]: Simplify 1.0 into 1.0 5.336 * [backup-simplify]: Simplify (+ 1 0) into 1 5.336 * [backup-simplify]: Simplify (* 0 1) into 0 5.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.337 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.338 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.339 * [backup-simplify]: Simplify (log 1) into 0 5.339 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.340 * [backup-simplify]: Simplify (+ 0 0) into 0 5.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.351 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 5.351 * [backup-simplify]: Simplify (exp 0) into 1 5.351 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 5.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 5.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 5.351 * [taylor]: Taking taylor expansion of 1/3 in N 5.351 * [backup-simplify]: Simplify 1/3 into 1/3 5.351 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.351 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.351 * [taylor]: Taking taylor expansion of N in N 5.351 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify 1 into 1 5.351 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.352 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.352 * [taylor]: Taking taylor expansion of N in N 5.352 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify 1 into 1 5.352 * [backup-simplify]: Simplify (/ 1 1) into 1 5.352 * [taylor]: Taking taylor expansion of 1.0 in N 5.352 * [backup-simplify]: Simplify 1.0 into 1.0 5.352 * [backup-simplify]: Simplify (+ 1 0) into 1 5.353 * [backup-simplify]: Simplify (* 0 1) into 0 5.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.354 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.355 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.355 * [backup-simplify]: Simplify (log 1) into 0 5.356 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.357 * [backup-simplify]: Simplify (+ 0 0) into 0 5.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.366 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.368 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 0)) into 0.3333333333333333 5.368 * [backup-simplify]: Simplify (exp 0) into 1 5.368 * [backup-simplify]: Simplify 1 into 1 5.372 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into 0.3333333333333333 5.372 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.373 * [backup-simplify]: Simplify (+ 0 0) into 0 5.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 5.387 * [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 5.389 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.16666666666666666) 5.396 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into -0.1111111111111111 5.397 * [backup-simplify]: Simplify -0.1111111111111111 into -0.1111111111111111 5.397 * [backup-simplify]: Simplify (+ (* -0.1111111111111111 (pow (/ 1 N) 2)) (+ (* 0.3333333333333333 (/ 1 N)) 1)) into (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) 5.397 * [backup-simplify]: Simplify (cbrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) 5.397 * [approximate]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in (N) around 0 5.397 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in N 5.397 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 5.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 5.397 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 5.397 * [taylor]: Taking taylor expansion of 1/3 in N 5.398 * [backup-simplify]: Simplify 1/3 into 1/3 5.398 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 5.398 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.398 * [taylor]: Taking taylor expansion of N in N 5.398 * [backup-simplify]: Simplify 0 into 0 5.398 * [backup-simplify]: Simplify 1 into 1 5.398 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.398 * [taylor]: Taking taylor expansion of 1.0 in N 5.398 * [backup-simplify]: Simplify 1.0 into 1.0 5.398 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.398 * [taylor]: Taking taylor expansion of N in N 5.398 * [backup-simplify]: Simplify 0 into 0 5.398 * [backup-simplify]: Simplify 1 into 1 5.398 * [backup-simplify]: Simplify (/ 1 1) into 1 5.399 * [backup-simplify]: Simplify (- 1) into -1 5.399 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.400 * [backup-simplify]: Simplify (* 0 -1) into 0 5.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.401 * [backup-simplify]: Simplify (- 0) into 0 5.401 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.402 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.402 * [backup-simplify]: Simplify (log -1) into (log -1) 5.403 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.405 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.405 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.405 * [taylor]: Taking taylor expansion of -1 in N 5.405 * [backup-simplify]: Simplify -1 into -1 5.405 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.406 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.406 * [taylor]: Taking taylor expansion of (* (pow (* N (- 1.0 (/ 1 N))) 1/3) (cbrt -1)) in N 5.406 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 5.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 5.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 5.406 * [taylor]: Taking taylor expansion of 1/3 in N 5.406 * [backup-simplify]: Simplify 1/3 into 1/3 5.406 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 5.406 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.406 * [taylor]: Taking taylor expansion of N in N 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify 1 into 1 5.406 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.406 * [taylor]: Taking taylor expansion of 1.0 in N 5.406 * [backup-simplify]: Simplify 1.0 into 1.0 5.406 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.406 * [taylor]: Taking taylor expansion of N in N 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify 1 into 1 5.407 * [backup-simplify]: Simplify (/ 1 1) into 1 5.407 * [backup-simplify]: Simplify (- 1) into -1 5.407 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.408 * [backup-simplify]: Simplify (* 0 -1) into 0 5.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.409 * [backup-simplify]: Simplify (- 0) into 0 5.409 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.410 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.410 * [backup-simplify]: Simplify (log -1) into (log -1) 5.411 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.412 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.412 * [taylor]: Taking taylor expansion of (cbrt -1) in N 5.412 * [taylor]: Taking taylor expansion of -1 in N 5.412 * [backup-simplify]: Simplify -1 into -1 5.413 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.413 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.415 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (cbrt -1) (pow -1 1/3)) 5.416 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (cbrt -1) (pow -1 1/3)) 5.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.417 * [backup-simplify]: Simplify (- 0) into 0 5.418 * [backup-simplify]: Simplify (+ 0 0) into 0 5.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.425 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log -1))) into (- 0.3333333333333333) 5.429 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow -1 1/3)) 5.432 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* (* -0.3333333333333333 (pow -1 1/3)) (cbrt -1))) into (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) 5.434 * [backup-simplify]: Simplify (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) into (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) 5.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.435 * [backup-simplify]: Simplify (- 0) into 0 5.436 * [backup-simplify]: Simplify (+ 0 0) into 0 5.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 5.446 * [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 5.448 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (log -1)))) into (- 0.16666666666666666) 5.453 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow -1 1/3)) 5.458 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* (* -0.3333333333333333 (pow -1 1/3)) 0) (* (* -0.1111111111111111 (pow -1 1/3)) (cbrt -1)))) into (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) 5.460 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) into (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) 5.465 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (* (cbrt -1) (pow -1 1/3)))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 0.3333333333333333 (* (cbrt -1) (pow -1 1/3)))) (/ 1 (- N))) (* (cbrt -1) (pow -1 1/3)))) into (- (+ (* (cbrt -1) (pow -1 1/3)) (* 0.3333333333333333 (* (/ (cbrt -1) N) (pow -1 1/3)))) (* 0.1111111111111111 (* (/ (cbrt -1) (pow N 2)) (pow -1 1/3)))) 5.465 * * * [progress]: simplifying candidates 5.469 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))) (log (* (* (cbrt N) (cbrt N)) (cbrt N))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))) (log (* (cbrt N) (cbrt N))) (log (* (* (cbrt (+ N 1.0)) (cbrt (/ (+ N 1.0) N))) (cbrt (+ N 1.0)))) (log (* (cbrt N) (cbrt N))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (+ N 1.0)))) (log (cbrt N)) (log (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (/ (+ N 1.0) N)))) (log (* (cbrt N) (cbrt N))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (/ (+ N 1.0) N)))) (log (cbrt N)) (log (* (* (cbrt (+ N 1.0)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)))) (log (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (exp (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (* (cbrt (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (cbrt (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)))))) (cbrt (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (* (* (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (sqrt (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (sqrt (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) 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)))) (- (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* 0.05555555555555555 (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N)))))) (exp (* 1/3 (- (log 1.0) (log N)))))) (* 1/6 (/ (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N))))) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* (cbrt -1) (pow -1 1/3)) (* 0.3333333333333333 (* (/ (cbrt -1) N) (pow -1 1/3)))) (* 0.1111111111111111 (* (/ (cbrt -1) (pow N 2)) (pow -1 1/3)))) (- (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* 0.05555555555555555 (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N)))))) (exp (* 1/3 (- (log 1.0) (log N)))))) (* 1/6 (/ (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N))))) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* (cbrt -1) (pow -1 1/3)) (* 0.3333333333333333 (* (/ (cbrt -1) N) (pow -1 1/3)))) (* 0.1111111111111111 (* (/ (cbrt -1) (pow N 2)) (pow -1 1/3)))) (- (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* 0.05555555555555555 (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N)))))) (exp (* 1/3 (- (log 1.0) (log N)))))) (* 1/6 (/ (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N))))) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* (cbrt -1) (pow -1 1/3)) (* 0.3333333333333333 (* (/ (cbrt -1) N) (pow -1 1/3)))) (* 0.1111111111111111 (* (/ (cbrt -1) (pow N 2)) (pow -1 1/3)))) 5.472 * * [simplify]: Extracting # 0 : cost 54 inf + 0 5.473 * * [simplify]: Extracting # 1 : cost 98 inf + 0 5.473 * * [simplify]: Extracting # 2 : cost 120 inf + 2 5.474 * * [simplify]: Extracting # 3 : cost 100 inf + 5206 5.476 * * [simplify]: Extracting # 4 : cost 60 inf + 14971 5.480 * * [simplify]: Extracting # 5 : cost 38 inf + 20506 5.482 * * [simplify]: Extracting # 6 : cost 21 inf + 26928 5.484 * * [simplify]: Extracting # 7 : cost 15 inf + 28869 5.486 * * [simplify]: Extracting # 8 : cost 11 inf + 30874 5.488 * * [simplify]: Extracting # 9 : cost 7 inf + 32913 5.490 * * [simplify]: Extracting # 10 : cost 3 inf + 35501 5.493 * * [simplify]: Extracting # 11 : cost 2 inf + 36126 5.495 * * [simplify]: Extracting # 12 : cost 0 inf + 37949 5.498 * * [simplify]: iteration 0 : 145 enodes (cost 46701 ) 5.527 * * [simplify]: Extracting # 0 : cost 0 inf + 37949 5.534 * * [simplify]: Extracting # 1 : cost 46 inf + 33777 5.542 * * [simplify]: Extracting # 2 : cost 4 inf + 41914 5.558 * * [simplify]: Extracting # 3 : cost 1 inf + 39601 5.568 * * [simplify]: Extracting # 4 : cost 0 inf + 39733 5.578 * * [simplify]: iteration 1 : 295 enodes (cost 41528 ) 5.714 * * [simplify]: Extracting # 0 : cost 0 inf + 39733 5.720 * * [simplify]: Extracting # 1 : cost 187 inf + 38341 5.737 * * [simplify]: Extracting # 2 : cost 13 inf + 73651 5.758 * * [simplify]: Extracting # 3 : cost 2 inf + 75637 5.783 * * [simplify]: Extracting # 4 : cost 0 inf + 75661 5.806 * * [simplify]: Extracting # 5 : cost 0 inf + 75621 5.818 * * [simplify]: Extracting # 6 : cost 0 inf + 75581 5.833 * * [simplify]: iteration 2 : 783 enodes (cost 40646 ) 6.209 * * [simplify]: Extracting # 0 : cost 0 inf + 75581 6.226 * * [simplify]: Extracting # 1 : cost 900 inf + 72856 6.268 * * [simplify]: Extracting # 2 : cost 64 inf + 253291 6.348 * * [simplify]: Extracting # 3 : cost 3 inf + 270779 6.442 * * [simplify]: Extracting # 4 : cost 0 inf + 270944 6.511 * * [simplify]: Extracting # 5 : cost 0 inf + 270904 6.600 * * [simplify]: iteration 3 : 2938 enodes (cost 38087 ) 7.639 * * [simplify]: Extracting # 0 : cost 0 inf + 270904 7.735 * * [simplify]: Extracting # 1 : cost 956 inf + 268224 7.850 * * [simplify]: Extracting # 2 : cost 40 inf + 502449 7.977 * * [simplify]: Extracting # 3 : cost 14 inf + 507137 8.095 * * [simplify]: Extracting # 4 : cost 0 inf + 511723 8.226 * * [simplify]: iteration complete: 5005 enodes (cost 38087 ) 8.227 * [simplify]: Simplified to: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (+ 1.0 N)) (log N) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))) (log (* (cbrt N) (cbrt N))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))) (log (* (cbrt N) (cbrt N))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (/ (+ N 1.0) N)))) (log (cbrt N)) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)))) (log (* (cbrt N) (cbrt N))) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (/ (+ N 1.0) N)))) (log (cbrt N)) (log (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0))) (cbrt (/ (+ N 1.0) N)))) (log (cbrt N)) (log (/ (+ 1.0 N) N)) (log (cbrt (/ (+ 1.0 N) N))) (log (cbrt (/ (+ 1.0 N) N))) (log (cbrt (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (cbrt (/ (+ 1.0 N) N))) (* 3 (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (log (cbrt (/ (+ 1.0 N) N))) (log (cbrt (/ (+ 1.0 N) N))) (log (cbrt (/ (+ 1.0 N) N))) (log (cbrt (/ (+ 1.0 N) N))) (log (cbrt (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (* (* (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (log (cbrt (/ (+ 1.0 N) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (* (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (cbrt (+ N 1.0)) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (sqrt (+ N 1.0))) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ 1.0 N) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ 1.0 N) N)) 1 (cbrt (/ (+ 1.0 N) N)) (cbrt (+ 1.0 N)) (cbrt (/ 1 N)) (cbrt (+ 1.0 N)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ 1.0 N) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ 1.0 N) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (* (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (cbrt (+ N 1.0)) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (sqrt (+ N 1.0))) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ 1.0 N) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ 1.0 N) N)) 1 (cbrt (/ (+ 1.0 N) N)) (cbrt (+ 1.0 N)) (cbrt (/ 1 N)) (cbrt (+ 1.0 N)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ 1.0 N) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ 1.0 N) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (* (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (cbrt (+ N 1.0)) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (sqrt (+ N 1.0))) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ 1.0 N) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ 1.0 N) N)) 1 (cbrt (/ (+ 1.0 N) N)) (cbrt (+ 1.0 N)) (cbrt (/ 1 N)) (cbrt (+ 1.0 N)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ 1.0 N) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (- (+ (log 1.0) (* 1.0 N)) (+ (log N) (* (* (/ N 1.0) (/ N 1.0)) 1/2))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (* (* N (+ 0.3333333333333333 (* 0.05555555555555555 N))) (exp (* 1/3 (- (log 1.0) (log N)))))) (* (* (* (/ N 1.0) (/ N 1.0)) (exp (* 1/3 (- (log 1.0) (log N))))) 1/6)) (- (+ 1 (/ 0.3333333333333333 N)) (/ 0.1111111111111111 (* N N))) (- (* (cbrt -1) (+ (* 0.3333333333333333 (/ (cbrt -1) N)) (cbrt -1))) (* 0.1111111111111111 (* (/ (cbrt -1) N) (/ (cbrt -1) N)))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (* (* N (+ 0.3333333333333333 (* 0.05555555555555555 N))) (exp (* 1/3 (- (log 1.0) (log N)))))) (* (* (* (/ N 1.0) (/ N 1.0)) (exp (* 1/3 (- (log 1.0) (log N))))) 1/6)) (- (+ 1 (/ 0.3333333333333333 N)) (/ 0.1111111111111111 (* N N))) (- (* (cbrt -1) (+ (* 0.3333333333333333 (/ (cbrt -1) N)) (cbrt -1))) (* 0.1111111111111111 (* (/ (cbrt -1) N) (/ (cbrt -1) N)))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (* (* N (+ 0.3333333333333333 (* 0.05555555555555555 N))) (exp (* 1/3 (- (log 1.0) (log N)))))) (* (* (* (/ N 1.0) (/ N 1.0)) (exp (* 1/3 (- (log 1.0) (log N))))) 1/6)) (- (+ 1 (/ 0.3333333333333333 N)) (/ 0.1111111111111111 (* N N))) (- (* (cbrt -1) (+ (* 0.3333333333333333 (/ (cbrt -1) N)) (cbrt -1))) (* 0.1111111111111111 (* (/ (cbrt -1) N) (/ (cbrt -1) N)))) 8.236 * * * [progress]: adding candidates to table 8.843 * * [progress]: iteration 4 / 4 8.843 * * * [progress]: picking best candidate 8.849 * * * * [pick]: Picked # 8.849 * * * [progress]: localizing error 8.888 * * * [progress]: generating rewritten candidates 8.888 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 9.001 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 9.012 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 9.032 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 9.047 * * * [progress]: generating series expansions 9.047 * * * * [progress]: [ 1 / 4 ] generating series at (2) 9.047 * [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)))) 9.047 * [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 9.047 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 9.047 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 9.047 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.047 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.047 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.047 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.047 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.047 * [taylor]: Taking taylor expansion of N in N 9.047 * [backup-simplify]: Simplify 0 into 0 9.047 * [backup-simplify]: Simplify 1 into 1 9.048 * [backup-simplify]: Simplify (* 1 1) into 1 9.048 * [backup-simplify]: Simplify (* 1 1) into 1 9.048 * [backup-simplify]: Simplify (/ 1 1) into 1 9.048 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 9.048 * [taylor]: Taking taylor expansion of 1.0 in N 9.048 * [backup-simplify]: Simplify 1.0 into 1.0 9.049 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.049 * [taylor]: Taking taylor expansion of N in N 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify 1 into 1 9.049 * [backup-simplify]: Simplify (/ 1 1) into 1 9.049 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.049 * [taylor]: Taking taylor expansion of 0.5 in N 9.049 * [backup-simplify]: Simplify 0.5 into 0.5 9.049 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.049 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.049 * [taylor]: Taking taylor expansion of N in N 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify 1 into 1 9.049 * [backup-simplify]: Simplify (* 1 1) into 1 9.049 * [backup-simplify]: Simplify (/ 1 1) into 1 9.049 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 9.049 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 9.049 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.049 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.050 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.050 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.050 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.050 * [taylor]: Taking taylor expansion of N in N 9.050 * [backup-simplify]: Simplify 0 into 0 9.050 * [backup-simplify]: Simplify 1 into 1 9.050 * [backup-simplify]: Simplify (* 1 1) into 1 9.050 * [backup-simplify]: Simplify (* 1 1) into 1 9.050 * [backup-simplify]: Simplify (/ 1 1) into 1 9.050 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 9.050 * [taylor]: Taking taylor expansion of 1.0 in N 9.050 * [backup-simplify]: Simplify 1.0 into 1.0 9.050 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.050 * [taylor]: Taking taylor expansion of N in N 9.050 * [backup-simplify]: Simplify 0 into 0 9.050 * [backup-simplify]: Simplify 1 into 1 9.051 * [backup-simplify]: Simplify (/ 1 1) into 1 9.051 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.051 * [taylor]: Taking taylor expansion of 0.5 in N 9.051 * [backup-simplify]: Simplify 0.5 into 0.5 9.051 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.051 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.051 * [taylor]: Taking taylor expansion of N in N 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify 1 into 1 9.051 * [backup-simplify]: Simplify (* 1 1) into 1 9.051 * [backup-simplify]: Simplify (/ 1 1) into 1 9.052 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.052 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.052 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.052 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.054 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.054 * [backup-simplify]: Simplify (+ 0 0) into 0 9.054 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.054 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.055 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.055 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.057 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.058 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 9.058 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.059 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.059 * [backup-simplify]: Simplify (- 0) into 0 9.060 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.060 * [backup-simplify]: Simplify 1.0 into 1.0 9.060 * [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)))) 9.060 * [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))) 9.060 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 9.061 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 9.061 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 9.061 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.061 * [taylor]: Taking taylor expansion of 1.0 in N 9.061 * [backup-simplify]: Simplify 1.0 into 1.0 9.061 * [taylor]: Taking taylor expansion of N in N 9.061 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify 1 into 1 9.061 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.061 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.061 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.061 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.061 * [taylor]: Taking taylor expansion of N in N 9.061 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify 1 into 1 9.061 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.061 * [taylor]: Taking taylor expansion of 0.5 in N 9.061 * [backup-simplify]: Simplify 0.5 into 0.5 9.061 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.061 * [taylor]: Taking taylor expansion of N in N 9.061 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify 1 into 1 9.061 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 9.061 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 9.061 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.061 * [taylor]: Taking taylor expansion of 1.0 in N 9.061 * [backup-simplify]: Simplify 1.0 into 1.0 9.061 * [taylor]: Taking taylor expansion of N in N 9.061 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify 1 into 1 9.061 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.061 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.061 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.061 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.061 * [taylor]: Taking taylor expansion of N in N 9.061 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify 1 into 1 9.061 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.061 * [taylor]: Taking taylor expansion of 0.5 in N 9.061 * [backup-simplify]: Simplify 0.5 into 0.5 9.061 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.061 * [taylor]: Taking taylor expansion of N in N 9.061 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify 1 into 1 9.062 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.062 * [backup-simplify]: Simplify (+ 0 0) into 0 9.063 * [backup-simplify]: Simplify (+ 0 0) into 0 9.063 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.065 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.065 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.065 * [backup-simplify]: Simplify 1.0 into 1.0 9.066 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.066 * [backup-simplify]: Simplify (+ 0 0) into 0 9.067 * [backup-simplify]: Simplify (* 1 1) into 1 9.067 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.068 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.068 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.069 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.070 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.070 * [backup-simplify]: Simplify (* 1 1) into 1 9.071 * [backup-simplify]: Simplify (* 1 1) into 1 9.071 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.072 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 9.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.073 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.074 * [backup-simplify]: Simplify (- 0) into 0 9.074 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.074 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.075 * [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)))) 9.076 * [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))))) 9.076 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 9.076 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 9.076 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 9.076 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.076 * [taylor]: Taking taylor expansion of 0.5 in N 9.076 * [backup-simplify]: Simplify 0.5 into 0.5 9.076 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.076 * [taylor]: Taking taylor expansion of N in N 9.076 * [backup-simplify]: Simplify 0 into 0 9.076 * [backup-simplify]: Simplify 1 into 1 9.076 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 9.076 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.076 * [taylor]: Taking taylor expansion of 1.0 in N 9.076 * [backup-simplify]: Simplify 1.0 into 1.0 9.076 * [taylor]: Taking taylor expansion of N in N 9.077 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify 1 into 1 9.077 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.077 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.077 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.077 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.077 * [taylor]: Taking taylor expansion of N in N 9.077 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify 1 into 1 9.077 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 9.077 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 9.077 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.077 * [taylor]: Taking taylor expansion of 0.5 in N 9.077 * [backup-simplify]: Simplify 0.5 into 0.5 9.077 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.077 * [taylor]: Taking taylor expansion of N in N 9.077 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify 1 into 1 9.077 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 9.077 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.077 * [taylor]: Taking taylor expansion of 1.0 in N 9.077 * [backup-simplify]: Simplify 1.0 into 1.0 9.077 * [taylor]: Taking taylor expansion of N in N 9.077 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify 1 into 1 9.077 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.077 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.077 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.077 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.077 * [taylor]: Taking taylor expansion of N in N 9.077 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify 1 into 1 9.078 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.078 * [backup-simplify]: Simplify (+ 0 0) into 0 9.078 * [backup-simplify]: Simplify (+ 0 0) into 0 9.079 * [backup-simplify]: Simplify (- 0) into 0 9.079 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.080 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.080 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.081 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.081 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.081 * [backup-simplify]: Simplify (* 1 1) into 1 9.081 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.082 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.082 * [backup-simplify]: Simplify (+ 0 0) into 0 9.082 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.083 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.083 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.084 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.084 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.085 * [backup-simplify]: Simplify (* 1 1) into 1 9.085 * [backup-simplify]: Simplify (* 1 1) into 1 9.085 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.085 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 9.086 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 9.086 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.086 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.087 * [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)))) 9.087 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 9.087 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 9.087 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 9.087 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 9.088 * [taylor]: Taking taylor expansion of 0.5 in N 9.088 * [backup-simplify]: Simplify 0.5 into 0.5 9.088 * [taylor]: Taking taylor expansion of (pow N 2) 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 (* 1 1) into 1 9.088 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 9.088 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 9.088 * [taylor]: Taking taylor expansion of 0.5 in N 9.088 * [backup-simplify]: Simplify 0.5 into 0.5 9.088 * [taylor]: Taking taylor expansion of (pow N 2) 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 (* 1 1) into 1 9.089 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 9.089 * [backup-simplify]: Simplify 0.5 into 0.5 9.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.091 * [backup-simplify]: Simplify 0 into 0 9.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.092 * [backup-simplify]: Simplify 0 into 0 9.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.093 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.095 * [backup-simplify]: Simplify 0 into 0 9.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.096 * [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 9.096 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 9.097 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 9.097 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 9.097 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.097 * [taylor]: Taking taylor expansion of 0.5 in N 9.097 * [backup-simplify]: Simplify 0.5 into 0.5 9.097 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.097 * [taylor]: Taking taylor expansion of N in N 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify 1 into 1 9.097 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.097 * [taylor]: Taking taylor expansion of 0.5 in N 9.097 * [backup-simplify]: Simplify 0.5 into 0.5 9.097 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.097 * [taylor]: Taking taylor expansion of N in N 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify 1 into 1 9.100 * [backup-simplify]: Simplify (* 1 1) into 1 9.100 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.100 * [backup-simplify]: Simplify 0.5 into 0.5 9.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.101 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.101 * [backup-simplify]: Simplify 0 into 0 9.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.102 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.102 * [backup-simplify]: Simplify 0 into 0 9.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.103 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.104 * [backup-simplify]: Simplify 0 into 0 9.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.105 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.105 * [backup-simplify]: Simplify 0 into 0 9.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.108 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.108 * [backup-simplify]: Simplify 0 into 0 9.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.112 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 9.112 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 9.112 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 9.112 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.112 * [taylor]: Taking taylor expansion of 0.5 in N 9.112 * [backup-simplify]: Simplify 0.5 into 0.5 9.112 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.112 * [taylor]: Taking taylor expansion of N in N 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify 1 into 1 9.112 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.112 * [taylor]: Taking taylor expansion of 0.5 in N 9.112 * [backup-simplify]: Simplify 0.5 into 0.5 9.112 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.112 * [taylor]: Taking taylor expansion of N in N 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify 1 into 1 9.113 * [backup-simplify]: Simplify (* 1 1) into 1 9.113 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.113 * [backup-simplify]: Simplify 0.5 into 0.5 9.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.115 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.115 * [backup-simplify]: Simplify 0 into 0 9.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.117 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.117 * [backup-simplify]: Simplify 0 into 0 9.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.119 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.119 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.121 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.121 * [backup-simplify]: Simplify 0 into 0 9.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.124 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.124 * [backup-simplify]: Simplify 0 into 0 9.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.127 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.127 * [backup-simplify]: Simplify 0 into 0 9.128 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 9.128 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 9.128 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* N (* N N))) into (/ 0.3333333333333333 (pow N 3)) 9.128 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 9.128 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 9.128 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.128 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.128 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.128 * [taylor]: Taking taylor expansion of N in N 9.128 * [backup-simplify]: Simplify 0 into 0 9.128 * [backup-simplify]: Simplify 1 into 1 9.129 * [backup-simplify]: Simplify (* 1 1) into 1 9.129 * [backup-simplify]: Simplify (* 1 1) into 1 9.129 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 9.129 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 9.129 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.129 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.129 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.130 * [taylor]: Taking taylor expansion of N in N 9.130 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify 1 into 1 9.130 * [backup-simplify]: Simplify (* 1 1) into 1 9.130 * [backup-simplify]: Simplify (* 1 1) into 1 9.131 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 9.131 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 9.133 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.136 * [backup-simplify]: Simplify 0 into 0 9.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.139 * [backup-simplify]: Simplify 0 into 0 9.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.143 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.146 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.151 * [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 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 9.151 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* (/ 1 N) (* (/ 1 N) (/ 1 N)))) into (* 0.3333333333333333 (pow N 3)) 9.151 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 9.151 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.151 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.151 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.152 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.152 * [taylor]: Taking taylor expansion of N in N 9.152 * [backup-simplify]: Simplify 0 into 0 9.152 * [backup-simplify]: Simplify 1 into 1 9.152 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.152 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.152 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.152 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.152 * [taylor]: Taking taylor expansion of N in N 9.152 * [backup-simplify]: Simplify 0 into 0 9.152 * [backup-simplify]: Simplify 1 into 1 9.152 * [backup-simplify]: Simplify (* 1 1) into 1 9.153 * [backup-simplify]: Simplify (* 1 1) into 1 9.153 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.153 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.155 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.155 * [backup-simplify]: Simplify 0 into 0 9.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.158 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.158 * [backup-simplify]: Simplify 0 into 0 9.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.164 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.164 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.168 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.168 * [backup-simplify]: Simplify 0 into 0 9.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.172 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.172 * [backup-simplify]: Simplify 0 into 0 9.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.177 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.177 * [backup-simplify]: Simplify 0 into 0 9.177 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 9.177 * [backup-simplify]: Simplify (/ 0.3333333333333333 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))) into (* -0.3333333333333333 (pow N 3)) 9.177 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 9.177 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 9.177 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 9.177 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 9.178 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.178 * [taylor]: Taking taylor expansion of N in N 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify 1 into 1 9.178 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 9.178 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 9.178 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 9.178 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.178 * [taylor]: Taking taylor expansion of N in N 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify 1 into 1 9.178 * [backup-simplify]: Simplify (* 1 1) into 1 9.179 * [backup-simplify]: Simplify (* 1 1) into 1 9.179 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 9.179 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 9.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.181 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 9.181 * [backup-simplify]: Simplify 0 into 0 9.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.183 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.183 * [backup-simplify]: Simplify 0 into 0 9.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.185 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.185 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.187 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.187 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.189 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.189 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.191 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.191 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 9.192 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 9.192 * [backup-simplify]: Simplify (* N (* N N)) into (pow N 3) 9.192 * [approximate]: Taking taylor expansion of (pow N 3) in (N) around 0 9.192 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.192 * [taylor]: Taking taylor expansion of N in N 9.192 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify 1 into 1 9.192 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.192 * [taylor]: Taking taylor expansion of N in N 9.192 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify 1 into 1 9.192 * [backup-simplify]: Simplify (* 1 1) into 1 9.193 * [backup-simplify]: Simplify (* 1 1) into 1 9.193 * [backup-simplify]: Simplify 1 into 1 9.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.193 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.194 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.196 * [backup-simplify]: Simplify 0 into 0 9.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.197 * [backup-simplify]: Simplify 0 into 0 9.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.198 * [backup-simplify]: Simplify 0 into 0 9.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify (* 1 (pow N 3)) into (pow N 3) 9.200 * [backup-simplify]: Simplify (* (/ 1 N) (* (/ 1 N) (/ 1 N))) into (/ 1 (pow N 3)) 9.200 * [approximate]: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0 9.200 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.200 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.200 * [taylor]: Taking taylor expansion of N in N 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.201 * [backup-simplify]: Simplify (* 1 1) into 1 9.201 * [backup-simplify]: Simplify (* 1 1) into 1 9.201 * [backup-simplify]: Simplify (/ 1 1) into 1 9.201 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.201 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.201 * [taylor]: Taking taylor expansion of N in N 9.201 * [backup-simplify]: Simplify 0 into 0 9.201 * [backup-simplify]: Simplify 1 into 1 9.202 * [backup-simplify]: Simplify (* 1 1) into 1 9.202 * [backup-simplify]: Simplify (* 1 1) into 1 9.202 * [backup-simplify]: Simplify (/ 1 1) into 1 9.203 * [backup-simplify]: Simplify 1 into 1 9.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.204 * [backup-simplify]: Simplify 0 into 0 9.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.207 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.210 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.213 * [backup-simplify]: Simplify 0 into 0 9.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.217 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.221 * [backup-simplify]: Simplify 0 into 0 9.221 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 N)) 3)) into (pow N 3) 9.222 * [backup-simplify]: Simplify (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))) into (/ -1 (pow N 3)) 9.222 * [approximate]: Taking taylor expansion of (/ -1 (pow N 3)) in (N) around 0 9.222 * [taylor]: Taking taylor expansion of (/ -1 (pow N 3)) in N 9.222 * [taylor]: Taking taylor expansion of -1 in N 9.222 * [backup-simplify]: Simplify -1 into -1 9.222 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.222 * [taylor]: Taking taylor expansion of N in N 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 1 into 1 9.222 * [backup-simplify]: Simplify (* 1 1) into 1 9.223 * [backup-simplify]: Simplify (* 1 1) into 1 9.223 * [backup-simplify]: Simplify (/ -1 1) into -1 9.223 * [taylor]: Taking taylor expansion of (/ -1 (pow N 3)) in N 9.223 * [taylor]: Taking taylor expansion of -1 in N 9.223 * [backup-simplify]: Simplify -1 into -1 9.223 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.223 * [taylor]: Taking taylor expansion of N in N 9.223 * [backup-simplify]: Simplify 0 into 0 9.223 * [backup-simplify]: Simplify 1 into 1 9.224 * [backup-simplify]: Simplify (* 1 1) into 1 9.224 * [backup-simplify]: Simplify (* 1 1) into 1 9.224 * [backup-simplify]: Simplify (/ -1 1) into -1 9.225 * [backup-simplify]: Simplify -1 into -1 9.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.227 * [backup-simplify]: Simplify 0 into 0 9.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.230 * [backup-simplify]: Simplify 0 into 0 9.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.233 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.236 * [backup-simplify]: Simplify 0 into 0 9.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.239 * [backup-simplify]: Simplify 0 into 0 9.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.242 * [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 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- N))) 3)) into (pow N 3) 9.242 * * * [progress]: simplifying candidates 9.244 * [simplify]: Simplifying: (* (exp (/ 0.3333333333333333 (* N (* N N)))) (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N))))) (* (exp (/ 0.3333333333333333 (* N (* N N)))) (exp (- (/ 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 (+ (/ 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))))) (* (* (+ (/ 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))))) (sqrt (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (* 0.3333333333333333 (* N (* N N))) (* (* N (* N N)) (- (* 1.0 (* N N)) (* N 0.5)))) (* (* N (* N N)) (* N (* N N))) (+ (* 0.3333333333333333 (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))) (* (* N (* N N)) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (* (* N (* N N)) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))) (+ (* 0.3333333333333333 (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (* N (* N N)) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))))) (* (* N (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (+ (pow (/ 0.3333333333333333 (* N (* N N))) 3) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3)) (+ (* (/ 0.3333333333333333 (* N (* N N))) (/ 0.3333333333333333 (* N (* N N)))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (- (* (/ 0.3333333333333333 (* N (* N N))) (/ 0.3333333333333333 (* N (* N N)))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (- (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* N (* N N))) (/ 1.0 N)) (+ (/ 0.3333333333333333 (* N (* N N))) (/ 1.0 N)) (+ (/ 0.3333333333333333 (* N (* N N))) (/ 1.0 N)) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (log 0.3333333333333333) (+ (log N) (+ (log N) (log N)))) (- (log 0.3333333333333333) (+ (log N) (log (* N N)))) (- (log 0.3333333333333333) (log (* N (* N N)))) (log (/ 0.3333333333333333 (* N (* N N)))) (exp (/ 0.3333333333333333 (* N (* N N)))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N)))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (* N N) N) (* (* (* N N) (* N N)) (* N N)))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (* N (* N N)) (* N (* N N))) (* N (* N N)))) (* (cbrt (/ 0.3333333333333333 (* N (* N N)))) (cbrt (/ 0.3333333333333333 (* N (* N N))))) (cbrt (/ 0.3333333333333333 (* N (* N N)))) (* (* (/ 0.3333333333333333 (* N (* N N))) (/ 0.3333333333333333 (* N (* N N)))) (/ 0.3333333333333333 (* N (* N N)))) (sqrt (/ 0.3333333333333333 (* N (* N N)))) (sqrt (/ 0.3333333333333333 (* N (* N N)))) (- 0.3333333333333333) (- (* N (* N N))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (* N (* N N))) (/ (* N (* N N)) 0.3333333333333333) (/ 0.3333333333333333 N) (/ (* N (* N N)) (cbrt 0.3333333333333333)) (/ (* N (* N N)) (sqrt 0.3333333333333333)) (/ (* N (* N N)) 0.3333333333333333) (+ 1 (+ 1 1)) (+ 1 2) (+ 1 (+ 1 1)) (+ 1 (* 2 1)) (* N (* N N)) (* N (* N N)) (+ (log N) (+ (log N) (log N))) (+ (log N) (log (* N N))) (log (* N (* N N))) (exp (* N (* N N))) (* (* (* N N) N) (* (* (* 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))) (* (sqrt N) N) (* (sqrt N) N) (* N N) (* (cbrt N) (* N N)) (* (sqrt N) (* N N)) (* N (* 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) 9.245 * * [simplify]: Extracting # 0 : cost 88 inf + 0 9.245 * * [simplify]: Extracting # 1 : cost 139 inf + 0 9.246 * * [simplify]: Extracting # 2 : cost 119 inf + 2887 9.247 * * [simplify]: Extracting # 3 : cost 69 inf + 10666 9.249 * * [simplify]: Extracting # 4 : cost 22 inf + 21739 9.251 * * [simplify]: Extracting # 5 : cost 3 inf + 30209 9.254 * * [simplify]: Extracting # 6 : cost 0 inf + 31461 9.257 * * [simplify]: iteration 0 : 159 enodes (cost 23980 ) 9.330 * * [simplify]: Extracting # 0 : cost 0 inf + 31461 9.338 * * [simplify]: Extracting # 1 : cost 116 inf + 30123 9.352 * * [simplify]: Extracting # 2 : cost 8 inf + 51152 9.368 * * [simplify]: Extracting # 3 : cost 4 inf + 47601 9.383 * * [simplify]: Extracting # 4 : cost 0 inf + 48572 9.392 * * [simplify]: iteration 1 : 440 enodes (cost 20061 ) 9.636 * * [simplify]: Extracting # 0 : cost 0 inf + 48572 9.654 * * [simplify]: Extracting # 1 : cost 617 inf + 46354 9.692 * * [simplify]: Extracting # 2 : cost 16 inf + 158855 9.743 * * [simplify]: Extracting # 3 : cost 3 inf + 160446 9.798 * * [simplify]: Extracting # 4 : cost 0 inf + 161027 9.867 * * [simplify]: iteration 2 : 1903 enodes (cost 18951 ) 10.609 * * [simplify]: Extracting # 0 : cost 0 inf + 161027 10.675 * * [simplify]: Extracting # 1 : cost 1507 inf + 159454 10.774 * * [simplify]: Extracting # 2 : cost 84 inf + 469331 10.985 * * [simplify]: Extracting # 3 : cost 23 inf + 476679 11.206 * * [simplify]: Extracting # 4 : cost 0 inf + 483063 11.431 * * [simplify]: Extracting # 5 : cost 0 inf + 482863 11.643 * * [simplify]: iteration complete: 5001 enodes (cost 18711 ) 11.643 * [simplify]: Simplified to: (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 (+ (/ 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))))) (* (* (+ (/ 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))))) (sqrt (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (* 0.3333333333333333 (* N (* N N))) (* (* N (* N N)) (- (* 1.0 (* N N)) (* N 0.5)))) (* (* N (* N N)) (* N (* N N))) (+ (* (- (* (* (/ 1.0 N) (/ 1.0 N)) (/ 1.0 N)) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (* N (* N N))) (* (+ (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N))) (* (/ 1.0 N) (/ 1.0 N))) 0.3333333333333333)) (* (+ (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N))) (* (/ 1.0 N) (/ 1.0 N))) (* N (* N N))) (+ (* 0.3333333333333333 (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (* N (* N N)) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))))) (* (* N (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (+ (* (* (/ 0.3333333333333333 (* N (* N N))) (/ 0.3333333333333333 (* N (* N N)))) (/ 0.3333333333333333 (* N (* N N)))) (* (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (* (- (/ 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))) (/ 0.3333333333333333 (* N (* N N)))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (- (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 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)) (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 N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (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) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (* N (* N N))) (/ (* N (* N N)) 0.3333333333333333) (/ 0.3333333333333333 N) (/ (* N (* N N)) (cbrt 0.3333333333333333)) (/ (* N (* N N)) (sqrt 0.3333333333333333)) (/ (* N (* N N)) 0.3333333333333333) 3 3 3 3 (* N (* N N)) (* N (* N N)) (* 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 N) (* (cbrt N) (* N N)) (* (sqrt N) (* N N)) (* N (* N N)) (+ (- (/ 0.3333333333333333 (* N (* N N))) (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ 0.3333333333333333 (* N (* N N))) (/ 0.5 (* N N))) (/ 1.0 N)) (+ (- (/ 0.3333333333333333 (* N (* N N))) (/ 0.5 (* N N))) (/ 1.0 N)) (/ 0.5 (* 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)) 11.649 * * * [progress]: adding candidates to table 12.024 * [progress]: [Phase 3 of 3] Extracting. 12.024 * * [regime]: Finding splitpoints for: (# # # #) 12.025 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.025 * * * * [regimes]: Trying to branch on N from (# # # #) 12.072 * * * [regime]: Found split indices: #