9.449 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.090 * * * [progress]: [2/2] Setting up program. 0.093 * [progress]: [Phase 2 of 3] Improving. 0.093 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.094 * * [simplify]: Extracting # 0 : cost 0 0.094 * * [simplify]: Extracting # 1 : cost 0 0.094 * * [simplify]: Extracting # 2 : cost 0 0.094 * * [simplify]: Extracting # 3 : cost 0 0.094 * * [simplify]: Extracting # 4 : cost 0 0.094 * * [simplify]: Extracting # 5 : cost 0 0.094 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.095 * * [simplify]: Extracting # 0 : cost 0 0.095 * * [simplify]: Extracting # 1 : cost 0 0.095 * * [simplify]: Extracting # 2 : cost 0 0.095 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.096 * * [simplify]: Extracting # 0 : cost 0 0.096 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.097 * * [simplify]: Extracting # 0 : cost 0 0.097 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.097 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.097 * * [progress]: iteration 1 / 4 0.097 * * * [progress]: picking best candidate 0.099 * * * * [pick]: Picked # 0.099 * * * [progress]: localizing error 0.106 * * * [progress]: generating rewritten candidates 0.106 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.119 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.127 * * * [progress]: generating series expansions 0.127 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.133 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.133 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.134 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.134 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.134 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.134 * [taylor]: Taking taylor expansion of N in N 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of 1.0 in N 0.134 * [backup-simplify]: Simplify 1.0 into 1.0 0.136 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.136 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.136 * [taylor]: Taking taylor expansion of (log N) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (log 1) into 0 0.137 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.137 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.137 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [backup-simplify]: Simplify 1.0 into 1.0 0.138 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.138 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.138 * [taylor]: Taking taylor expansion of (log N) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (log 1) into 0 0.142 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.142 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.142 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.143 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.151 * [backup-simplify]: Simplify 1.0 into 1.0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [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 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.169 * [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 (- (+ (* 1.0 N) (log 1.0)) (+ (* 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 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [taylor]: Taking taylor expansion of 1.0 in N 0.173 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [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 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [backup-simplify]: Simplify (log 1) into 0 0.174 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.174 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) 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 0.174 * [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 0.175 * [backup-simplify]: Simplify (log 1) into 0 0.175 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify (log 1) into 0 0.176 * [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 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.177 * [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 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.181 * [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 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [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 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.195 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [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 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [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 0.215 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.215 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.216 * [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)))) 0.216 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.216 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.216 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.216 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.216 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.216 * [taylor]: Taking taylor expansion of 1.0 in N 0.216 * [backup-simplify]: Simplify 1.0 into 1.0 0.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [backup-simplify]: Simplify (- 1) into -1 0.217 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.217 * [backup-simplify]: Simplify (log -1) into (log -1) 0.217 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.217 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.217 * [taylor]: Taking taylor expansion of -1 in N 0.217 * [backup-simplify]: Simplify -1 into -1 0.218 * [taylor]: Taking taylor expansion of N in N 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (/ -1 1) into -1 0.218 * [backup-simplify]: Simplify (log -1) into (log -1) 0.218 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.218 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.218 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.218 * [taylor]: Taking taylor expansion of 1.0 in N 0.218 * [backup-simplify]: Simplify 1.0 into 1.0 0.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.218 * [taylor]: Taking taylor expansion of N in N 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [backup-simplify]: Simplify (- 1) into -1 0.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.219 * [backup-simplify]: Simplify (log -1) into (log -1) 0.219 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.219 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.219 * [taylor]: Taking taylor expansion of -1 in N 0.219 * [backup-simplify]: Simplify -1 into -1 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ -1 1) into -1 0.220 * [backup-simplify]: Simplify (log -1) into (log -1) 0.220 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.221 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.221 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.222 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.229 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [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 0.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.238 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [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 0.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [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 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.252 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.253 * [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)))) 0.254 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.254 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.254 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.254 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.254 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.254 * [taylor]: Taking taylor expansion of N in N 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [taylor]: Taking taylor expansion of 1.0 in N 0.254 * [backup-simplify]: Simplify 1.0 into 1.0 0.254 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.254 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.254 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.254 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.254 * [taylor]: Taking taylor expansion of N in N 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [taylor]: Taking taylor expansion of 1.0 in N 0.254 * [backup-simplify]: Simplify 1.0 into 1.0 0.255 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.255 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.255 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.255 * [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 0.274 * [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)) 0.275 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.276 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.276 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.276 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.276 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.276 * [taylor]: Taking taylor expansion of N in N 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [taylor]: Taking taylor expansion of 1.0 in N 0.276 * [backup-simplify]: Simplify 1.0 into 1.0 0.277 * [backup-simplify]: Simplify (+ 1 0) into 1 0.277 * [backup-simplify]: Simplify (log 1) into 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 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of 1.0 in N 0.277 * [backup-simplify]: Simplify 1.0 into 1.0 0.277 * [backup-simplify]: Simplify (+ 1 0) into 1 0.278 * [backup-simplify]: Simplify (log 1) into 0 0.278 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.278 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.282 * [backup-simplify]: Simplify 1.0 into 1.0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [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 0.288 * [backup-simplify]: Simplify -0.5 into -0.5 0.289 * [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)))) 0.289 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.289 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.289 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.289 * [taylor]: Taking taylor expansion of 1.0 in N 0.289 * [backup-simplify]: Simplify 1.0 into 1.0 0.289 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.289 * [taylor]: Taking taylor expansion of N in N 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [backup-simplify]: Simplify (- 1) into -1 0.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.290 * [backup-simplify]: Simplify (log -1) into (log -1) 0.290 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.290 * [taylor]: Taking taylor expansion of 1.0 in N 0.290 * [backup-simplify]: Simplify 1.0 into 1.0 0.290 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.290 * [taylor]: Taking taylor expansion of N in N 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (- 1) into -1 0.291 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.291 * [backup-simplify]: Simplify (log -1) into (log -1) 0.291 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.292 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.298 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.298 * [backup-simplify]: Simplify -1.0 into -1.0 0.299 * [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 0.310 * [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 0.311 * [backup-simplify]: Simplify -0.5 into -0.5 0.311 * [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)))) 0.312 * * * [progress]: simplifying candidates 0.313 * [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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 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)))) 0.315 * * [simplify]: Extracting # 0 : cost 0 0.315 * * [simplify]: Extracting # 1 : cost 0 0.315 * * [simplify]: Extracting # 2 : cost 0 0.316 * * [simplify]: Extracting # 3 : cost 0 0.316 * * [simplify]: Extracting # 4 : cost 0 0.316 * * [simplify]: Extracting # 5 : cost 0 0.316 * * [simplify]: Extracting # 6 : cost 0 0.317 * * [simplify]: Extracting # 7 : cost 0 0.317 * * [simplify]: iteration 0 : 101 enodes (cost 510 ) 0.341 * * [simplify]: Extracting # 0 : cost 0 0.341 * * [simplify]: Extracting # 1 : cost 0 0.341 * * [simplify]: Extracting # 2 : cost 0 0.342 * * [simplify]: Extracting # 3 : cost 0 0.342 * * [simplify]: Extracting # 4 : cost 0 0.342 * * [simplify]: iteration 1 : 213 enodes (cost 488 ) 0.438 * * [simplify]: Extracting # 0 : cost 0 0.439 * * [simplify]: Extracting # 1 : cost 0 0.440 * * [simplify]: Extracting # 2 : cost 0 0.441 * * [simplify]: Extracting # 3 : cost 0 0.442 * * [simplify]: Extracting # 4 : cost 0 0.443 * * [simplify]: iteration 2 : 464 enodes (cost 445 ) 0.670 * * [simplify]: Extracting # 0 : cost 0 0.671 * * [simplify]: Extracting # 1 : cost 0 0.673 * * [simplify]: Extracting # 2 : cost 0 0.674 * * [simplify]: Extracting # 3 : cost 0 0.675 * * [simplify]: Extracting # 4 : cost 0 0.676 * * [simplify]: iteration 3 : 1067 enodes (cost 443 ) 1.509 * * [simplify]: Extracting # 0 : cost 0 1.512 * * [simplify]: Extracting # 1 : cost 0 1.515 * * [simplify]: Extracting # 2 : cost 0 1.517 * * [simplify]: Extracting # 3 : cost 0 1.519 * * [simplify]: Extracting # 4 : cost 0 1.522 * * [simplify]: iteration 4 : 2569 enodes (cost 438 ) 3.130 * * [simplify]: Extracting # 0 : cost 0 3.139 * * [simplify]: Extracting # 1 : cost 0 3.153 * * [simplify]: Extracting # 2 : cost 0 3.161 * * [simplify]: Extracting # 3 : cost 0 3.170 * * [simplify]: Extracting # 4 : cost 0 3.179 * * [simplify]: Extracting # 5 : cost 0 3.186 * * [simplify]: iteration done: 5000 enodes (cost 426 ) 3.187 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (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) (log N)) (* (log (+ N 1.0)) (+ (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)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (+ (* N (+ (* -1/2 (/ N (* 1.0 1.0))) 1.0)) (- (log 1.0) (log N))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (* N (+ (* -1/2 (/ N (* 1.0 1.0))) 1.0)) (log 1.0)) (+ (/ (- 1.0 (/ 0.5 N)) N) (log N)) (+ (/ (- 1.0 (/ 0.5 N)) N) (log N)) 3.187 * * * [progress]: adding candidates to table 3.308 * * [progress]: iteration 2 / 4 3.309 * * * [progress]: picking best candidate 3.317 * * * * [pick]: Picked # 3.317 * * * [progress]: localizing error 3.326 * * * [progress]: generating rewritten candidates 3.326 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.332 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.354 * * * [progress]: generating series expansions 3.354 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.354 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 3.354 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 3.354 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.354 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.355 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.355 * [taylor]: Taking taylor expansion of N in N 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [taylor]: Taking taylor expansion of 1.0 in N 3.355 * [backup-simplify]: Simplify 1.0 into 1.0 3.355 * [taylor]: Taking taylor expansion of N in N 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.356 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.356 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.356 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.356 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.357 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.357 * [taylor]: Taking taylor expansion of N in N 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify 1 into 1 3.357 * [taylor]: Taking taylor expansion of 1.0 in N 3.357 * [backup-simplify]: Simplify 1.0 into 1.0 3.357 * [taylor]: Taking taylor expansion of N in N 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify 1 into 1 3.357 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.358 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.358 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.359 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.359 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 3.360 * [backup-simplify]: Simplify (+ 1 0) into 1 3.361 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.366 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.366 * [backup-simplify]: Simplify 1.0 into 1.0 3.366 * [backup-simplify]: Simplify (+ 0 0) into 0 3.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.377 * [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)) 3.378 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.379 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 3.379 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 3.379 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.379 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.379 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.379 * [taylor]: Taking taylor expansion of N in N 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify 1 into 1 3.379 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.379 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.379 * [taylor]: Taking taylor expansion of N in N 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify 1 into 1 3.379 * [backup-simplify]: Simplify (/ 1 1) into 1 3.379 * [taylor]: Taking taylor expansion of 1.0 in N 3.379 * [backup-simplify]: Simplify 1.0 into 1.0 3.380 * [backup-simplify]: Simplify (+ 1 0) into 1 3.380 * [backup-simplify]: Simplify (* 0 1) into 0 3.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.381 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.381 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.382 * [backup-simplify]: Simplify (log 1) into 0 3.382 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.382 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.382 * [taylor]: Taking taylor expansion of N in N 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 1 into 1 3.382 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.382 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.382 * [taylor]: Taking taylor expansion of N in N 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 1 into 1 3.382 * [backup-simplify]: Simplify (/ 1 1) into 1 3.382 * [taylor]: Taking taylor expansion of 1.0 in N 3.382 * [backup-simplify]: Simplify 1.0 into 1.0 3.382 * [backup-simplify]: Simplify (+ 1 0) into 1 3.383 * [backup-simplify]: Simplify (* 0 1) into 0 3.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.388 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.389 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.389 * [backup-simplify]: Simplify (log 1) into 0 3.389 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.390 * [backup-simplify]: Simplify (+ 0 0) into 0 3.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.395 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.395 * [backup-simplify]: Simplify 1.0 into 1.0 3.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (+ 0 0) into 0 3.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.403 * [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 3.403 * [backup-simplify]: Simplify -0.5 into -0.5 3.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.403 * [backup-simplify]: Simplify (+ 0 0) into 0 3.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.419 * [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 3.420 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.420 * [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)))) 3.420 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 3.420 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.421 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.421 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.421 * [taylor]: Taking taylor expansion of -1 in N 3.421 * [backup-simplify]: Simplify -1 into -1 3.421 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.421 * [taylor]: Taking taylor expansion of N in N 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 1 into 1 3.421 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.421 * [taylor]: Taking taylor expansion of 1.0 in N 3.421 * [backup-simplify]: Simplify 1.0 into 1.0 3.421 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.421 * [taylor]: Taking taylor expansion of N in N 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 1 into 1 3.421 * [backup-simplify]: Simplify (/ 1 1) into 1 3.422 * [backup-simplify]: Simplify (- 1) into -1 3.422 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.423 * [backup-simplify]: Simplify (* 0 -1) into 0 3.423 * [backup-simplify]: Simplify (* -1 0) into 0 3.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.424 * [backup-simplify]: Simplify (- 0) into 0 3.424 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.425 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.426 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.426 * [backup-simplify]: Simplify (log 1) into 0 3.426 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.426 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.426 * [taylor]: Taking taylor expansion of -1 in N 3.426 * [backup-simplify]: Simplify -1 into -1 3.426 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.426 * [taylor]: Taking taylor expansion of N in N 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 1 into 1 3.426 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.426 * [taylor]: Taking taylor expansion of 1.0 in N 3.426 * [backup-simplify]: Simplify 1.0 into 1.0 3.426 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.427 * [taylor]: Taking taylor expansion of N in N 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [backup-simplify]: Simplify (/ 1 1) into 1 3.427 * [backup-simplify]: Simplify (- 1) into -1 3.428 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.428 * [backup-simplify]: Simplify (* 0 -1) into 0 3.428 * [backup-simplify]: Simplify (* -1 0) into 0 3.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (- 0) into 0 3.430 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.431 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.432 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.432 * [backup-simplify]: Simplify (log 1) into 0 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.434 * [backup-simplify]: Simplify (- 0) into 0 3.434 * [backup-simplify]: Simplify (+ 0 0) into 0 3.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.439 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.446 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 3.446 * [backup-simplify]: Simplify -1.0 into -1.0 3.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.447 * [backup-simplify]: Simplify (- 0) into 0 3.448 * [backup-simplify]: Simplify (+ 0 0) into 0 3.449 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.450 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.460 * [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 3.460 * [backup-simplify]: Simplify -0.5 into -0.5 3.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.461 * [backup-simplify]: Simplify (- 0) into 0 3.461 * [backup-simplify]: Simplify (+ 0 0) into 0 3.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.462 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.472 * [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 3.472 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.472 * [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)))) 3.472 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.473 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 3.473 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 3.473 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.473 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.473 * [taylor]: Taking taylor expansion of N in N 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 1 into 1 3.473 * [taylor]: Taking taylor expansion of 1.0 in N 3.473 * [backup-simplify]: Simplify 1.0 into 1.0 3.473 * [taylor]: Taking taylor expansion of N in N 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 1 into 1 3.473 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.473 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.473 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.473 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.473 * [taylor]: Taking taylor expansion of N in N 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 1 into 1 3.474 * [taylor]: Taking taylor expansion of 1.0 in N 3.474 * [backup-simplify]: Simplify 1.0 into 1.0 3.474 * [taylor]: Taking taylor expansion of N in N 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify 1 into 1 3.474 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.474 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.474 * [backup-simplify]: Simplify 1.0 into 1.0 3.474 * [backup-simplify]: Simplify (+ 1 0) into 1 3.475 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.475 * [backup-simplify]: Simplify 1 into 1 3.475 * [backup-simplify]: Simplify (+ 0 0) into 0 3.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify (+ 0 0) into 0 3.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify (+ 0 0) into 0 3.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify (+ 0 0) into 0 3.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.478 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify (+ 0 0) into 0 3.479 * [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 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify (+ 0 0) into 0 3.480 * [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 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 3.480 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 3.480 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 3.480 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.480 * [taylor]: Taking taylor expansion of N in N 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 1 into 1 3.480 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.480 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.480 * [taylor]: Taking taylor expansion of N in N 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 1 into 1 3.481 * [backup-simplify]: Simplify (/ 1 1) into 1 3.481 * [taylor]: Taking taylor expansion of 1.0 in N 3.481 * [backup-simplify]: Simplify 1.0 into 1.0 3.481 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.481 * [taylor]: Taking taylor expansion of N in N 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.481 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.481 * [taylor]: Taking taylor expansion of N in N 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [backup-simplify]: Simplify (/ 1 1) into 1 3.481 * [taylor]: Taking taylor expansion of 1.0 in N 3.481 * [backup-simplify]: Simplify 1.0 into 1.0 3.481 * [backup-simplify]: Simplify (+ 1 0) into 1 3.482 * [backup-simplify]: Simplify (* 0 1) into 0 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.482 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.483 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.483 * [backup-simplify]: Simplify 1 into 1 3.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.484 * [backup-simplify]: Simplify (+ 0 0) into 0 3.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.485 * [backup-simplify]: Simplify 1.0 into 1.0 3.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.486 * [backup-simplify]: Simplify (+ 0 0) into 0 3.486 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.486 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.487 * [backup-simplify]: Simplify (+ 0 0) into 0 3.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.495 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.496 * [backup-simplify]: Simplify (+ 0 0) into 0 3.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify (+ 0 0) into 0 3.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 3.498 * [backup-simplify]: Simplify 0 into 0 3.499 * [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 3.499 * [backup-simplify]: Simplify (+ 0 0) into 0 3.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 3.500 * [backup-simplify]: Simplify 0 into 0 3.501 * [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 3.501 * [backup-simplify]: Simplify (+ 0 0) into 0 3.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.502 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 3.502 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 3.502 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.502 * [taylor]: Taking taylor expansion of -1 in N 3.502 * [backup-simplify]: Simplify -1 into -1 3.502 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.502 * [taylor]: Taking taylor expansion of N in N 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify 1 into 1 3.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.502 * [taylor]: Taking taylor expansion of 1.0 in N 3.502 * [backup-simplify]: Simplify 1.0 into 1.0 3.502 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.502 * [taylor]: Taking taylor expansion of N in N 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [backup-simplify]: Simplify (/ 1 1) into 1 3.503 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.503 * [taylor]: Taking taylor expansion of -1 in N 3.503 * [backup-simplify]: Simplify -1 into -1 3.503 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.503 * [taylor]: Taking taylor expansion of N in N 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.503 * [taylor]: Taking taylor expansion of 1.0 in N 3.503 * [backup-simplify]: Simplify 1.0 into 1.0 3.503 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.503 * [taylor]: Taking taylor expansion of N in N 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [backup-simplify]: Simplify (/ 1 1) into 1 3.504 * [backup-simplify]: Simplify (- 1) into -1 3.504 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.504 * [backup-simplify]: Simplify (* 0 -1) into 0 3.504 * [backup-simplify]: Simplify (* -1 0) into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.505 * [backup-simplify]: Simplify (- 0) into 0 3.505 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.506 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.506 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.507 * [backup-simplify]: Simplify (- 0) into 0 3.507 * [backup-simplify]: Simplify (+ 0 0) into 0 3.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.509 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.510 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.510 * [backup-simplify]: Simplify (- 0) into 0 3.511 * [backup-simplify]: Simplify (+ 0 0) into 0 3.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.512 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.513 * [backup-simplify]: Simplify (- 0) into 0 3.513 * [backup-simplify]: Simplify (+ 0 0) into 0 3.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.515 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.515 * [backup-simplify]: Simplify (- 0) into 0 3.515 * [backup-simplify]: Simplify (+ 0 0) into 0 3.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 3.517 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 3.517 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.518 * [backup-simplify]: Simplify (- 0) into 0 3.518 * [backup-simplify]: Simplify (+ 0 0) into 0 3.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 3.520 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 3.520 * [backup-simplify]: Simplify 0 into 0 3.520 * [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 3.521 * [backup-simplify]: Simplify (- 0) into 0 3.521 * [backup-simplify]: Simplify (+ 0 0) into 0 3.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 3.523 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 3.523 * [backup-simplify]: Simplify 0 into 0 3.523 * [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 3.524 * [backup-simplify]: Simplify (- 0) into 0 3.524 * [backup-simplify]: Simplify (+ 0 0) into 0 3.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 3.526 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.527 * * * [progress]: simplifying candidates 3.528 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 3.529 * * [simplify]: Extracting # 0 : cost 0 3.529 * * [simplify]: Extracting # 1 : cost 0 3.529 * * [simplify]: Extracting # 2 : cost 0 3.529 * * [simplify]: Extracting # 3 : cost 0 3.529 * * [simplify]: Extracting # 4 : cost 0 3.529 * * [simplify]: Extracting # 5 : cost 0 3.529 * * [simplify]: Extracting # 6 : cost 0 3.530 * * [simplify]: Extracting # 7 : cost 0 3.530 * * [simplify]: Extracting # 8 : cost 0 3.530 * * [simplify]: Extracting # 9 : cost 0 3.530 * * [simplify]: Extracting # 10 : cost 0 3.530 * * [simplify]: iteration 0 : 108 enodes (cost 723 ) 3.569 * * [simplify]: Extracting # 0 : cost 0 3.570 * * [simplify]: Extracting # 1 : cost 0 3.570 * * [simplify]: Extracting # 2 : cost 0 3.571 * * [simplify]: Extracting # 3 : cost 0 3.571 * * [simplify]: Extracting # 4 : cost 0 3.572 * * [simplify]: iteration 1 : 232 enodes (cost 690 ) 3.704 * * [simplify]: Extracting # 0 : cost 0 3.705 * * [simplify]: Extracting # 1 : cost 0 3.705 * * [simplify]: Extracting # 2 : cost 0 3.706 * * [simplify]: Extracting # 3 : cost 0 3.706 * * [simplify]: Extracting # 4 : cost 0 3.707 * * [simplify]: iteration 2 : 583 enodes (cost 637 ) 4.006 * * [simplify]: Extracting # 0 : cost 0 4.009 * * [simplify]: Extracting # 1 : cost 0 4.012 * * [simplify]: Extracting # 2 : cost 0 4.014 * * [simplify]: Extracting # 3 : cost 0 4.017 * * [simplify]: Extracting # 4 : cost 0 4.019 * * [simplify]: iteration 3 : 1417 enodes (cost 624 ) 5.357 * * [simplify]: Extracting # 0 : cost 0 5.364 * * [simplify]: Extracting # 1 : cost 0 5.367 * * [simplify]: Extracting # 2 : cost 0 5.374 * * [simplify]: Extracting # 3 : cost 0 5.377 * * [simplify]: Extracting # 4 : cost 0 5.380 * * [simplify]: iteration 4 : 3874 enodes (cost 622 ) 6.989 * * [simplify]: Extracting # 0 : cost 0 7.006 * * [simplify]: Extracting # 1 : cost 0 7.015 * * [simplify]: Extracting # 2 : cost 0 7.023 * * [simplify]: iteration done: 5001 enodes (cost 622 ) 7.024 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (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)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (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))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ 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 (+ 1.0 N)) (/ (+ 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 (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (+ (* 1.0 (- 1.0 N)) (* N N))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (/ (+ 1.0 N) N) (/ (+ 1.0 N) N) (/ (+ 1.0 N) N) 7.025 * * * [progress]: adding candidates to table 7.175 * * [progress]: iteration 3 / 4 7.175 * * * [progress]: picking best candidate 7.180 * * * * [pick]: Picked # 7.180 * * * [progress]: localizing error 7.196 * * * [progress]: generating rewritten candidates 7.197 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 7.209 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 7.220 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 7.231 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 7.239 * * * [progress]: generating series expansions 7.239 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 7.239 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 7.239 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 7.239 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.239 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.239 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.239 * [taylor]: Taking taylor expansion of N in N 7.239 * [backup-simplify]: Simplify 0 into 0 7.239 * [backup-simplify]: Simplify 1 into 1 7.240 * [taylor]: Taking taylor expansion of 1.0 in N 7.240 * [backup-simplify]: Simplify 1.0 into 1.0 7.240 * [taylor]: Taking taylor expansion of N in N 7.240 * [backup-simplify]: Simplify 0 into 0 7.240 * [backup-simplify]: Simplify 1 into 1 7.240 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.241 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.241 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.241 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.241 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.241 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.241 * [taylor]: Taking taylor expansion of N in N 7.241 * [backup-simplify]: Simplify 0 into 0 7.241 * [backup-simplify]: Simplify 1 into 1 7.241 * [taylor]: Taking taylor expansion of 1.0 in N 7.241 * [backup-simplify]: Simplify 1.0 into 1.0 7.241 * [taylor]: Taking taylor expansion of N in N 7.241 * [backup-simplify]: Simplify 0 into 0 7.241 * [backup-simplify]: Simplify 1 into 1 7.242 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.242 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.243 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.244 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.244 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 7.244 * [backup-simplify]: Simplify (+ 1 0) into 1 7.245 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 7.257 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.257 * [backup-simplify]: Simplify 1.0 into 1.0 7.258 * [backup-simplify]: Simplify (+ 0 0) into 0 7.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.268 * [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)) 7.269 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 7.271 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 7.271 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 7.271 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 7.271 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.271 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.271 * [taylor]: Taking taylor expansion of N in N 7.271 * [backup-simplify]: Simplify 0 into 0 7.272 * [backup-simplify]: Simplify 1 into 1 7.272 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.272 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.272 * [taylor]: Taking taylor expansion of N in N 7.272 * [backup-simplify]: Simplify 0 into 0 7.272 * [backup-simplify]: Simplify 1 into 1 7.272 * [backup-simplify]: Simplify (/ 1 1) into 1 7.272 * [taylor]: Taking taylor expansion of 1.0 in N 7.272 * [backup-simplify]: Simplify 1.0 into 1.0 7.273 * [backup-simplify]: Simplify (+ 1 0) into 1 7.273 * [backup-simplify]: Simplify (* 0 1) into 0 7.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.274 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.274 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.274 * [backup-simplify]: Simplify (log 1) into 0 7.274 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.274 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.274 * [taylor]: Taking taylor expansion of N in N 7.274 * [backup-simplify]: Simplify 0 into 0 7.274 * [backup-simplify]: Simplify 1 into 1 7.274 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.275 * [taylor]: Taking taylor expansion of N in N 7.275 * [backup-simplify]: Simplify 0 into 0 7.275 * [backup-simplify]: Simplify 1 into 1 7.275 * [backup-simplify]: Simplify (/ 1 1) into 1 7.275 * [taylor]: Taking taylor expansion of 1.0 in N 7.275 * [backup-simplify]: Simplify 1.0 into 1.0 7.275 * [backup-simplify]: Simplify (+ 1 0) into 1 7.275 * [backup-simplify]: Simplify (* 0 1) into 0 7.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.276 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.276 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.277 * [backup-simplify]: Simplify (log 1) into 0 7.277 * [backup-simplify]: Simplify 0 into 0 7.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.277 * [backup-simplify]: Simplify (+ 0 0) into 0 7.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.282 * [backup-simplify]: Simplify 1.0 into 1.0 7.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.283 * [backup-simplify]: Simplify (+ 0 0) into 0 7.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.290 * [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 7.290 * [backup-simplify]: Simplify -0.5 into -0.5 7.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.290 * [backup-simplify]: Simplify (+ 0 0) into 0 7.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 7.300 * [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 7.300 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.301 * [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)))) 7.301 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 7.301 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 7.301 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.301 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.301 * [taylor]: Taking taylor expansion of -1 in N 7.301 * [backup-simplify]: Simplify -1 into -1 7.301 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.301 * [taylor]: Taking taylor expansion of N in N 7.301 * [backup-simplify]: Simplify 0 into 0 7.301 * [backup-simplify]: Simplify 1 into 1 7.301 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.301 * [taylor]: Taking taylor expansion of 1.0 in N 7.301 * [backup-simplify]: Simplify 1.0 into 1.0 7.301 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.301 * [taylor]: Taking taylor expansion of N in N 7.301 * [backup-simplify]: Simplify 0 into 0 7.301 * [backup-simplify]: Simplify 1 into 1 7.301 * [backup-simplify]: Simplify (/ 1 1) into 1 7.301 * [backup-simplify]: Simplify (- 1) into -1 7.302 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.302 * [backup-simplify]: Simplify (* 0 -1) into 0 7.302 * [backup-simplify]: Simplify (* -1 0) into 0 7.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.303 * [backup-simplify]: Simplify (- 0) into 0 7.303 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.304 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.304 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.304 * [backup-simplify]: Simplify (log 1) into 0 7.304 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.304 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.304 * [taylor]: Taking taylor expansion of -1 in N 7.304 * [backup-simplify]: Simplify -1 into -1 7.304 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.304 * [taylor]: Taking taylor expansion of N in N 7.304 * [backup-simplify]: Simplify 0 into 0 7.304 * [backup-simplify]: Simplify 1 into 1 7.304 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.305 * [taylor]: Taking taylor expansion of 1.0 in N 7.305 * [backup-simplify]: Simplify 1.0 into 1.0 7.305 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.305 * [taylor]: Taking taylor expansion of N in N 7.305 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify 1 into 1 7.305 * [backup-simplify]: Simplify (/ 1 1) into 1 7.305 * [backup-simplify]: Simplify (- 1) into -1 7.305 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.306 * [backup-simplify]: Simplify (* 0 -1) into 0 7.306 * [backup-simplify]: Simplify (* -1 0) into 0 7.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.307 * [backup-simplify]: Simplify (- 0) into 0 7.307 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.307 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.308 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.308 * [backup-simplify]: Simplify (log 1) into 0 7.308 * [backup-simplify]: Simplify 0 into 0 7.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.309 * [backup-simplify]: Simplify (- 0) into 0 7.309 * [backup-simplify]: Simplify (+ 0 0) into 0 7.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.313 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 7.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 7.320 * [backup-simplify]: Simplify -1.0 into -1.0 7.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.322 * [backup-simplify]: Simplify (- 0) into 0 7.322 * [backup-simplify]: Simplify (+ 0 0) into 0 7.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.324 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 7.336 * [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 7.336 * [backup-simplify]: Simplify -0.5 into -0.5 7.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.337 * [backup-simplify]: Simplify (- 0) into 0 7.337 * [backup-simplify]: Simplify (+ 0 0) into 0 7.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 7.340 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 7.358 * [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 7.358 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 7.358 * [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)))) 7.359 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 7.359 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 7.359 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 7.359 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.359 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.359 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.359 * [taylor]: Taking taylor expansion of N in N 7.359 * [backup-simplify]: Simplify 0 into 0 7.359 * [backup-simplify]: Simplify 1 into 1 7.359 * [taylor]: Taking taylor expansion of 1.0 in N 7.359 * [backup-simplify]: Simplify 1.0 into 1.0 7.359 * [taylor]: Taking taylor expansion of N in N 7.359 * [backup-simplify]: Simplify 0 into 0 7.359 * [backup-simplify]: Simplify 1 into 1 7.360 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.368 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.369 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.369 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.369 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.369 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.369 * [taylor]: Taking taylor expansion of N in N 7.369 * [backup-simplify]: Simplify 0 into 0 7.369 * [backup-simplify]: Simplify 1 into 1 7.369 * [taylor]: Taking taylor expansion of 1.0 in N 7.369 * [backup-simplify]: Simplify 1.0 into 1.0 7.369 * [taylor]: Taking taylor expansion of N in N 7.369 * [backup-simplify]: Simplify 0 into 0 7.369 * [backup-simplify]: Simplify 1 into 1 7.370 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.370 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.370 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.371 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.372 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 7.372 * [backup-simplify]: Simplify (+ 1 0) into 1 7.373 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 7.378 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.378 * [backup-simplify]: Simplify 1.0 into 1.0 7.378 * [backup-simplify]: Simplify (+ 0 0) into 0 7.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.389 * [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)) 7.390 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 7.392 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 7.392 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 7.393 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 7.393 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.393 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.393 * [taylor]: Taking taylor expansion of N in N 7.393 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify 1 into 1 7.393 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.393 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.393 * [taylor]: Taking taylor expansion of N in N 7.393 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify 1 into 1 7.393 * [backup-simplify]: Simplify (/ 1 1) into 1 7.393 * [taylor]: Taking taylor expansion of 1.0 in N 7.393 * [backup-simplify]: Simplify 1.0 into 1.0 7.394 * [backup-simplify]: Simplify (+ 1 0) into 1 7.394 * [backup-simplify]: Simplify (* 0 1) into 0 7.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.395 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.396 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.396 * [backup-simplify]: Simplify (log 1) into 0 7.396 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.396 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.396 * [taylor]: Taking taylor expansion of N in N 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 1 into 1 7.396 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.396 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.396 * [taylor]: Taking taylor expansion of N in N 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify 1 into 1 7.397 * [backup-simplify]: Simplify (/ 1 1) into 1 7.397 * [taylor]: Taking taylor expansion of 1.0 in N 7.397 * [backup-simplify]: Simplify 1.0 into 1.0 7.397 * [backup-simplify]: Simplify (+ 1 0) into 1 7.398 * [backup-simplify]: Simplify (* 0 1) into 0 7.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.399 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.400 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.400 * [backup-simplify]: Simplify (log 1) into 0 7.400 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.401 * [backup-simplify]: Simplify (+ 0 0) into 0 7.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.408 * [backup-simplify]: Simplify 1.0 into 1.0 7.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.409 * [backup-simplify]: Simplify (+ 0 0) into 0 7.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.415 * [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 7.416 * [backup-simplify]: Simplify -0.5 into -0.5 7.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.417 * [backup-simplify]: Simplify (+ 0 0) into 0 7.417 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 7.427 * [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 7.427 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.427 * [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)))) 7.427 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 7.427 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 7.427 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.427 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.427 * [taylor]: Taking taylor expansion of -1 in N 7.427 * [backup-simplify]: Simplify -1 into -1 7.427 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.427 * [taylor]: Taking taylor expansion of N in N 7.427 * [backup-simplify]: Simplify 0 into 0 7.427 * [backup-simplify]: Simplify 1 into 1 7.427 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.427 * [taylor]: Taking taylor expansion of 1.0 in N 7.427 * [backup-simplify]: Simplify 1.0 into 1.0 7.427 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.427 * [taylor]: Taking taylor expansion of N in N 7.427 * [backup-simplify]: Simplify 0 into 0 7.427 * [backup-simplify]: Simplify 1 into 1 7.428 * [backup-simplify]: Simplify (/ 1 1) into 1 7.428 * [backup-simplify]: Simplify (- 1) into -1 7.428 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.428 * [backup-simplify]: Simplify (* 0 -1) into 0 7.429 * [backup-simplify]: Simplify (* -1 0) into 0 7.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.429 * [backup-simplify]: Simplify (- 0) into 0 7.430 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.430 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.430 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.431 * [backup-simplify]: Simplify (log 1) into 0 7.431 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.431 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.431 * [taylor]: Taking taylor expansion of -1 in N 7.431 * [backup-simplify]: Simplify -1 into -1 7.431 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.431 * [taylor]: Taking taylor expansion of N in N 7.431 * [backup-simplify]: Simplify 0 into 0 7.431 * [backup-simplify]: Simplify 1 into 1 7.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.431 * [taylor]: Taking taylor expansion of 1.0 in N 7.431 * [backup-simplify]: Simplify 1.0 into 1.0 7.431 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.431 * [taylor]: Taking taylor expansion of N in N 7.431 * [backup-simplify]: Simplify 0 into 0 7.431 * [backup-simplify]: Simplify 1 into 1 7.431 * [backup-simplify]: Simplify (/ 1 1) into 1 7.431 * [backup-simplify]: Simplify (- 1) into -1 7.432 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.432 * [backup-simplify]: Simplify (* 0 -1) into 0 7.432 * [backup-simplify]: Simplify (* -1 0) into 0 7.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.433 * [backup-simplify]: Simplify (- 0) into 0 7.433 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.433 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.434 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.434 * [backup-simplify]: Simplify (log 1) into 0 7.434 * [backup-simplify]: Simplify 0 into 0 7.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.435 * [backup-simplify]: Simplify (- 0) into 0 7.435 * [backup-simplify]: Simplify (+ 0 0) into 0 7.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.438 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 7.442 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 7.442 * [backup-simplify]: Simplify -1.0 into -1.0 7.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.443 * [backup-simplify]: Simplify (- 0) into 0 7.444 * [backup-simplify]: Simplify (+ 0 0) into 0 7.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.446 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 7.458 * [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 7.458 * [backup-simplify]: Simplify -0.5 into -0.5 7.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.460 * [backup-simplify]: Simplify (- 0) into 0 7.460 * [backup-simplify]: Simplify (+ 0 0) into 0 7.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 7.463 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 7.491 * [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 7.491 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 7.491 * [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)))) 7.491 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 7.492 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 7.492 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 7.492 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.492 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.492 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.492 * [taylor]: Taking taylor expansion of N in N 7.492 * [backup-simplify]: Simplify 0 into 0 7.492 * [backup-simplify]: Simplify 1 into 1 7.492 * [taylor]: Taking taylor expansion of 1.0 in N 7.492 * [backup-simplify]: Simplify 1.0 into 1.0 7.492 * [taylor]: Taking taylor expansion of N in N 7.492 * [backup-simplify]: Simplify 0 into 0 7.492 * [backup-simplify]: Simplify 1 into 1 7.493 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.493 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.493 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.493 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.493 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.493 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.494 * [taylor]: Taking taylor expansion of N in N 7.494 * [backup-simplify]: Simplify 0 into 0 7.494 * [backup-simplify]: Simplify 1 into 1 7.494 * [taylor]: Taking taylor expansion of 1.0 in N 7.494 * [backup-simplify]: Simplify 1.0 into 1.0 7.494 * [taylor]: Taking taylor expansion of N in N 7.494 * [backup-simplify]: Simplify 0 into 0 7.494 * [backup-simplify]: Simplify 1 into 1 7.494 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.495 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.495 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.496 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.496 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 7.497 * [backup-simplify]: Simplify (+ 1 0) into 1 7.498 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 7.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.503 * [backup-simplify]: Simplify 1.0 into 1.0 7.503 * [backup-simplify]: Simplify (+ 0 0) into 0 7.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.514 * [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)) 7.516 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 7.517 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 7.518 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 7.518 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 7.518 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.518 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.518 * [taylor]: Taking taylor expansion of N in N 7.518 * [backup-simplify]: Simplify 0 into 0 7.518 * [backup-simplify]: Simplify 1 into 1 7.518 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.518 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.518 * [taylor]: Taking taylor expansion of N in N 7.518 * [backup-simplify]: Simplify 0 into 0 7.518 * [backup-simplify]: Simplify 1 into 1 7.518 * [backup-simplify]: Simplify (/ 1 1) into 1 7.518 * [taylor]: Taking taylor expansion of 1.0 in N 7.518 * [backup-simplify]: Simplify 1.0 into 1.0 7.519 * [backup-simplify]: Simplify (+ 1 0) into 1 7.519 * [backup-simplify]: Simplify (* 0 1) into 0 7.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.520 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.521 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.521 * [backup-simplify]: Simplify (log 1) into 0 7.521 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.522 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.522 * [taylor]: Taking taylor expansion of N in N 7.522 * [backup-simplify]: Simplify 0 into 0 7.522 * [backup-simplify]: Simplify 1 into 1 7.522 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.522 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.522 * [taylor]: Taking taylor expansion of N in N 7.522 * [backup-simplify]: Simplify 0 into 0 7.522 * [backup-simplify]: Simplify 1 into 1 7.522 * [backup-simplify]: Simplify (/ 1 1) into 1 7.522 * [taylor]: Taking taylor expansion of 1.0 in N 7.522 * [backup-simplify]: Simplify 1.0 into 1.0 7.523 * [backup-simplify]: Simplify (+ 1 0) into 1 7.523 * [backup-simplify]: Simplify (* 0 1) into 0 7.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.524 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.525 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.525 * [backup-simplify]: Simplify (log 1) into 0 7.525 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.527 * [backup-simplify]: Simplify (+ 0 0) into 0 7.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.535 * [backup-simplify]: Simplify 1.0 into 1.0 7.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.536 * [backup-simplify]: Simplify (+ 0 0) into 0 7.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.542 * [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 7.542 * [backup-simplify]: Simplify -0.5 into -0.5 7.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.543 * [backup-simplify]: Simplify (+ 0 0) into 0 7.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 7.552 * [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 7.552 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.552 * [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)))) 7.552 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 7.553 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 7.553 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.553 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.553 * [taylor]: Taking taylor expansion of -1 in N 7.553 * [backup-simplify]: Simplify -1 into -1 7.553 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.553 * [taylor]: Taking taylor expansion of N in N 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 1 into 1 7.553 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.553 * [taylor]: Taking taylor expansion of 1.0 in N 7.553 * [backup-simplify]: Simplify 1.0 into 1.0 7.553 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.553 * [taylor]: Taking taylor expansion of N in N 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify 1 into 1 7.553 * [backup-simplify]: Simplify (/ 1 1) into 1 7.553 * [backup-simplify]: Simplify (- 1) into -1 7.553 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.554 * [backup-simplify]: Simplify (* 0 -1) into 0 7.554 * [backup-simplify]: Simplify (* -1 0) into 0 7.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.555 * [backup-simplify]: Simplify (- 0) into 0 7.555 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.555 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.556 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.556 * [backup-simplify]: Simplify (log 1) into 0 7.556 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.556 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.556 * [taylor]: Taking taylor expansion of -1 in N 7.556 * [backup-simplify]: Simplify -1 into -1 7.556 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.556 * [taylor]: Taking taylor expansion of N in N 7.556 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify 1 into 1 7.556 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.556 * [taylor]: Taking taylor expansion of 1.0 in N 7.556 * [backup-simplify]: Simplify 1.0 into 1.0 7.556 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.556 * [taylor]: Taking taylor expansion of N in N 7.556 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify 1 into 1 7.556 * [backup-simplify]: Simplify (/ 1 1) into 1 7.557 * [backup-simplify]: Simplify (- 1) into -1 7.557 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.557 * [backup-simplify]: Simplify (* 0 -1) into 0 7.557 * [backup-simplify]: Simplify (* -1 0) into 0 7.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.558 * [backup-simplify]: Simplify (- 0) into 0 7.558 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.559 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.559 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.559 * [backup-simplify]: Simplify (log 1) into 0 7.559 * [backup-simplify]: Simplify 0 into 0 7.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.560 * [backup-simplify]: Simplify (- 0) into 0 7.560 * [backup-simplify]: Simplify (+ 0 0) into 0 7.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.563 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 7.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 7.567 * [backup-simplify]: Simplify -1.0 into -1.0 7.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.568 * [backup-simplify]: Simplify (- 0) into 0 7.568 * [backup-simplify]: Simplify (+ 0 0) into 0 7.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.569 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 7.578 * [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 7.578 * [backup-simplify]: Simplify -0.5 into -0.5 7.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.579 * [backup-simplify]: Simplify (- 0) into 0 7.579 * [backup-simplify]: Simplify (+ 0 0) into 0 7.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 7.582 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 7.608 * [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 7.608 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 7.609 * [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)))) 7.609 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 7.609 * [backup-simplify]: Simplify (cbrt (log (/ (+ N 1.0) N))) into (pow (log (/ (+ N 1.0) N)) 1/3) 7.609 * [approximate]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 1/3) in (N) around 0 7.609 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 1/3) in N 7.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (/ (+ N 1.0) N))))) in N 7.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (/ (+ N 1.0) N)))) in N 7.609 * [taylor]: Taking taylor expansion of 1/3 in N 7.609 * [backup-simplify]: Simplify 1/3 into 1/3 7.609 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 7.609 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.609 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.610 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.610 * [taylor]: Taking taylor expansion of N in N 7.610 * [backup-simplify]: Simplify 0 into 0 7.610 * [backup-simplify]: Simplify 1 into 1 7.610 * [taylor]: Taking taylor expansion of 1.0 in N 7.610 * [backup-simplify]: Simplify 1.0 into 1.0 7.610 * [taylor]: Taking taylor expansion of N in N 7.610 * [backup-simplify]: Simplify 0 into 0 7.610 * [backup-simplify]: Simplify 1 into 1 7.610 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.611 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.611 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.612 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.613 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.613 * [backup-simplify]: Simplify (log (- (log 1.0) (log N))) into (log (- (log 1.0) (log N))) 7.614 * [backup-simplify]: Simplify (* 1/3 (log (- (log 1.0) (log N)))) into (* 1/3 (log (- (log 1.0) (log N)))) 7.614 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log 1.0) (log N))))) into (pow (- (log 1.0) (log N)) 1/3) 7.614 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 1/3) in N 7.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (/ (+ N 1.0) N))))) in N 7.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (/ (+ N 1.0) N)))) in N 7.614 * [taylor]: Taking taylor expansion of 1/3 in N 7.614 * [backup-simplify]: Simplify 1/3 into 1/3 7.614 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 7.614 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 7.614 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 7.614 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.614 * [taylor]: Taking taylor expansion of N in N 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 1 into 1 7.615 * [taylor]: Taking taylor expansion of 1.0 in N 7.615 * [backup-simplify]: Simplify 1.0 into 1.0 7.615 * [taylor]: Taking taylor expansion of N in N 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 1 into 1 7.615 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.615 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.616 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.617 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.617 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.618 * [backup-simplify]: Simplify (log (- (log 1.0) (log N))) into (log (- (log 1.0) (log N))) 7.618 * [backup-simplify]: Simplify (* 1/3 (log (- (log 1.0) (log N)))) into (* 1/3 (log (- (log 1.0) (log N)))) 7.619 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log 1.0) (log N))))) into (pow (- (log 1.0) (log N)) 1/3) 7.620 * [backup-simplify]: Simplify (pow (- (log 1.0) (log N)) 1/3) into (pow (- (log 1.0) (log N)) 1/3) 7.621 * [backup-simplify]: Simplify (+ 1 0) into 1 7.622 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 7.627 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.628 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.630 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (- (log 1.0) (log N)) 1)))) 1) into (/ 1.0 (- (log 1.0) (log N))) 7.631 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1.0 (- (log 1.0) (log N)))) (* 0 (log (- (log 1.0) (log N))))) into (* 0.3333333333333333 (/ 1 (- (log 1.0) (log N)))) 7.632 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log 1.0) (log N))))) (+ (* (/ (pow (* 0.3333333333333333 (/ 1 (- (log 1.0) (log N)))) 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)) 7.633 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)) into (* 0.3333333333333333 (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)) 7.634 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.634 * [backup-simplify]: Simplify (+ 0 0) into 0 7.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.645 * [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)) 7.646 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.653 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (- (log 1.0) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/2 (pow 1.0 2))) 1)) (pow (- (log 1.0) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N)))) (* 1.0 (/ 1 (pow (- (log 1.0) (log N)) 2))))) 7.655 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N)))) (* 1.0 (/ 1 (pow (- (log 1.0) (log N)) 2)))))) (+ (* 0 (/ 1.0 (- (log 1.0) (log N)))) (* 0 (log (- (log 1.0) (log N)))))) into (- (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.16666666666666666 (/ 1 (pow (- (log 1.0) (log N)) 2))))) 7.659 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log 1.0) (log N))))) (+ (* (/ (pow (* 0.3333333333333333 (/ 1 (- (log 1.0) (log N)))) 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.16666666666666666 (/ 1 (pow (- (log 1.0) (log N)) 2))))) 1) 1)))) into (* -1 (* (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.1111111111111111 (/ 1 (pow (- (log 1.0) (log N)) 2)))) (pow (- (log 1.0) (log N)) 1/3))) 7.661 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.1111111111111111 (/ 1 (pow (- (log 1.0) (log N)) 2)))) (pow (- (log 1.0) (log N)) 1/3))) into (* -1 (* (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.1111111111111111 (/ 1 (pow (- (log 1.0) (log N)) 2)))) (pow (- (log 1.0) (log N)) 1/3))) 7.665 * [backup-simplify]: Simplify (+ (* (* -1 (* (+ (* 1/6 (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.1111111111111111 (/ 1 (pow (- (log 1.0) (log N)) 2)))) (pow (- (log 1.0) (log N)) 1/3))) (pow N 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)) N) (pow (- (log 1.0) (log N)) 1/3))) into (- (+ (pow (- (log 1.0) (log N)) 1/3) (* 0.3333333333333333 (* N (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)))) (+ (* 1/6 (* (/ (pow N 2) (pow 1.0 2)) (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3))) (* 0.1111111111111111 (* (pow N 2) (pow (/ 1 (pow (- (log 1.0) (log N)) 5)) 1/3))))) 7.665 * [backup-simplify]: Simplify (cbrt (log (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) 7.665 * [approximate]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) in (N) around 0 7.665 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) in N 7.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 7.666 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* N (+ (/ 1 N) 1.0))))) in N 7.666 * [taylor]: Taking taylor expansion of 1/3 in N 7.666 * [backup-simplify]: Simplify 1/3 into 1/3 7.666 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 7.666 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.666 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.666 * [taylor]: Taking taylor expansion of N in N 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify 1 into 1 7.666 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.666 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.666 * [taylor]: Taking taylor expansion of N in N 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify 1 into 1 7.666 * [backup-simplify]: Simplify (/ 1 1) into 1 7.666 * [taylor]: Taking taylor expansion of 1.0 in N 7.666 * [backup-simplify]: Simplify 1.0 into 1.0 7.667 * [backup-simplify]: Simplify (+ 1 0) into 1 7.667 * [backup-simplify]: Simplify (* 0 1) into 0 7.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.669 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.669 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.670 * [backup-simplify]: Simplify (log 1) into 0 7.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.671 * [backup-simplify]: Simplify (+ 0 0) into 0 7.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.680 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.680 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.681 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.681 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.682 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.682 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 1/3) in N 7.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 7.682 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* N (+ (/ 1 N) 1.0))))) in N 7.682 * [taylor]: Taking taylor expansion of 1/3 in N 7.682 * [backup-simplify]: Simplify 1/3 into 1/3 7.682 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 7.682 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 7.682 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 7.682 * [taylor]: Taking taylor expansion of N in N 7.682 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify 1 into 1 7.682 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.682 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.682 * [taylor]: Taking taylor expansion of N in N 7.682 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify 1 into 1 7.683 * [backup-simplify]: Simplify (/ 1 1) into 1 7.683 * [taylor]: Taking taylor expansion of 1.0 in N 7.683 * [backup-simplify]: Simplify 1.0 into 1.0 7.683 * [backup-simplify]: Simplify (+ 1 0) into 1 7.684 * [backup-simplify]: Simplify (* 0 1) into 0 7.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.685 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.685 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 7.686 * [backup-simplify]: Simplify (log 1) into 0 7.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.687 * [backup-simplify]: Simplify (+ 0 0) into 0 7.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 7.696 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.696 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.697 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.698 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.698 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.699 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.700 * [backup-simplify]: Simplify (+ 0 0) into 0 7.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.712 * [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 7.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow 1.0 1)))) 1) into -0.5 7.720 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.721 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (* 0 (+ (log 1.0) (log N)))) into (- 0.16666666666666666) 7.724 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.725 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.726 * [backup-simplify]: Simplify (+ 0 0) into 0 7.728 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 7.754 * [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 7.770 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 7.770 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.777 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 -0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 7.789 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 7.792 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 7.797 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) (pow (/ 1 N) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (/ 1 N)) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) 7.797 * [backup-simplify]: Simplify (cbrt (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) 7.797 * [approximate]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) in (N) around 0 7.797 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) in N 7.797 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 7.797 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 7.797 * [taylor]: Taking taylor expansion of 1/3 in N 7.797 * [backup-simplify]: Simplify 1/3 into 1/3 7.797 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 7.797 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.797 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.797 * [taylor]: Taking taylor expansion of -1 in N 7.797 * [backup-simplify]: Simplify -1 into -1 7.797 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.797 * [taylor]: Taking taylor expansion of N in N 7.797 * [backup-simplify]: Simplify 0 into 0 7.797 * [backup-simplify]: Simplify 1 into 1 7.797 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.797 * [taylor]: Taking taylor expansion of 1.0 in N 7.798 * [backup-simplify]: Simplify 1.0 into 1.0 7.798 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.798 * [taylor]: Taking taylor expansion of N in N 7.798 * [backup-simplify]: Simplify 0 into 0 7.798 * [backup-simplify]: Simplify 1 into 1 7.798 * [backup-simplify]: Simplify (/ 1 1) into 1 7.798 * [backup-simplify]: Simplify (- 1) into -1 7.799 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.799 * [backup-simplify]: Simplify (* 0 -1) into 0 7.800 * [backup-simplify]: Simplify (* -1 0) into 0 7.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.801 * [backup-simplify]: Simplify (- 0) into 0 7.801 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.802 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.802 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.803 * [backup-simplify]: Simplify (log 1) into 0 7.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.804 * [backup-simplify]: Simplify (- 0) into 0 7.804 * [backup-simplify]: Simplify (+ 0 0) into 0 7.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.809 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 7.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 7.816 * [backup-simplify]: Simplify (log -1.0) into (log -1.0) 7.817 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1.0)) into (+ (log -1.0) (log N)) 7.817 * [backup-simplify]: Simplify (* 1/3 (+ (log -1.0) (log N))) into (* 1/3 (+ (log -1.0) (log N))) 7.818 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log -1.0) (log N)))) into (exp (* 1/3 (+ (log -1.0) (log N)))) 7.818 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 1/3) in N 7.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 7.818 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 7.818 * [taylor]: Taking taylor expansion of 1/3 in N 7.818 * [backup-simplify]: Simplify 1/3 into 1/3 7.818 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 7.818 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 7.818 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 7.818 * [taylor]: Taking taylor expansion of -1 in N 7.818 * [backup-simplify]: Simplify -1 into -1 7.818 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 7.818 * [taylor]: Taking taylor expansion of N in N 7.818 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify 1 into 1 7.818 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.818 * [taylor]: Taking taylor expansion of 1.0 in N 7.818 * [backup-simplify]: Simplify 1.0 into 1.0 7.818 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.818 * [taylor]: Taking taylor expansion of N in N 7.818 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify 1 into 1 7.819 * [backup-simplify]: Simplify (/ 1 1) into 1 7.819 * [backup-simplify]: Simplify (- 1) into -1 7.819 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.820 * [backup-simplify]: Simplify (* 0 -1) into 0 7.820 * [backup-simplify]: Simplify (* -1 0) into 0 7.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.821 * [backup-simplify]: Simplify (- 0) into 0 7.822 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.822 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 7.823 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.823 * [backup-simplify]: Simplify (log 1) into 0 7.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.824 * [backup-simplify]: Simplify (- 0) into 0 7.825 * [backup-simplify]: Simplify (+ 0 0) into 0 7.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 7.829 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 7.836 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 7.837 * [backup-simplify]: Simplify (log -1.0) into (log -1.0) 7.838 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1.0)) into (+ (log -1.0) (log N)) 7.838 * [backup-simplify]: Simplify (* 1/3 (+ (log -1.0) (log N))) into (* 1/3 (+ (log -1.0) (log N))) 7.839 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log -1.0) (log N)))) into (exp (* 1/3 (+ (log -1.0) (log N)))) 7.839 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log -1.0) (log N)))) into (exp (* 1/3 (+ (log -1.0) (log N)))) 7.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.840 * [backup-simplify]: Simplify (- 0) into 0 7.841 * [backup-simplify]: Simplify (+ 0 0) into 0 7.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 7.843 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 7.856 * [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 7.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -0.5) 1)) (pow -1.0 1)))) 1) into 0.5 7.863 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1.0)) into (+ (log -1.0) (log N)) 7.864 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (* 0 (+ (log -1.0) (log N)))) into 0.16666666666666666 7.867 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log -1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log -1.0) (log N))))) 7.867 * [backup-simplify]: Simplify (* 0.16666666666666666 (exp (* 1/3 (+ (log -1.0) (log N))))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log -1.0) (log N))))) 7.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.869 * [backup-simplify]: Simplify (- 0) into 0 7.869 * [backup-simplify]: Simplify (+ 0 0) into 0 7.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 7.872 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 7.900 * [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 7.915 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -0.5) 2)) (pow -1.0 2))) (* 1 (/ (* 1 (pow (* 2 -0.3333333333333333) 1)) (pow -1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2))))) 7.916 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1.0)) into (+ (log -1.0) (log N)) 7.922 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2)))))) (+ (* 0 0.5) (* 0 (+ (log -1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow -1.0 2)))) 7.934 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log -1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow -1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log -1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow -1.0 2))))) 7.937 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log -1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow -1.0 2))))) into (* (exp (* 1/3 (+ (log -1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow -1.0 2))))) 7.943 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log -1.0) (log (/ 1 (- N)))))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow -1.0 2))))) (pow (/ 1 (- N)) 2)) (+ (* (* 0.16666666666666666 (exp (* 1/3 (+ (log -1.0) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (+ (log -1.0) (log (/ 1 (- N)))))))) into (- (+ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (pow N 2)))) (+ (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) N)) (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (* (pow N 2) (pow -1.0 2)))))) 7.943 * * * [progress]: simplifying candidates 7.946 * [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 (* (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 (* (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 (cbrt (log (/ (+ N 1.0) N)))) (exp (cbrt (log (/ (+ N 1.0) N)))) (cbrt 1) (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt 1) (cbrt (log (/ (+ N 1.0) N))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (log (/ (+ N 1.0) N))))) (cbrt (cbrt (log (/ (+ N 1.0) N)))) (* (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (pow (- (log 1.0) (log N)) 1/3) (* 0.3333333333333333 (* N (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3)))) (+ (* 1/6 (* (/ (pow N 2) (pow 1.0 2)) (pow (/ 1 (pow (- (log 1.0) (log N)) 2)) 1/3))) (* 0.1111111111111111 (* (pow N 2) (pow (/ 1 (pow (- (log 1.0) (log N)) 5)) 1/3))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) (- (+ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (pow N 2)))) (+ (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) N)) (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log -1.0) (log (/ -1 N))))) (* (pow N 2) (pow -1.0 2)))))) 7.950 * * [simplify]: Extracting # 0 : cost 0 7.950 * * [simplify]: Extracting # 1 : cost 0 7.951 * * [simplify]: Extracting # 2 : cost 0 7.951 * * [simplify]: Extracting # 3 : cost 0 7.951 * * [simplify]: Extracting # 4 : cost 0 7.952 * * [simplify]: Extracting # 5 : cost 0 7.952 * * [simplify]: Extracting # 6 : cost 0 7.952 * * [simplify]: Extracting # 7 : cost 0 7.953 * * [simplify]: Extracting # 8 : cost 0 7.953 * * [simplify]: Extracting # 9 : cost 0 7.953 * * [simplify]: Extracting # 10 : cost 0 7.954 * * [simplify]: Extracting # 11 : cost 0 7.954 * * [simplify]: iteration 0 : 149 enodes (cost 1470 ) 8.017 * * [simplify]: Extracting # 0 : cost 0 8.018 * * [simplify]: Extracting # 1 : cost 0 8.018 * * [simplify]: Extracting # 2 : cost 0 8.019 * * [simplify]: Extracting # 3 : cost 0 8.020 * * [simplify]: Extracting # 4 : cost 0 8.021 * * [simplify]: Extracting # 5 : cost 0 8.021 * * [simplify]: iteration 1 : 335 enodes (cost 1402 ) 8.137 * * [simplify]: Extracting # 0 : cost 0 8.138 * * [simplify]: Extracting # 1 : cost 0 8.139 * * [simplify]: Extracting # 2 : cost 0 8.140 * * [simplify]: Extracting # 3 : cost 0 8.141 * * [simplify]: Extracting # 4 : cost 0 8.142 * * [simplify]: iteration 2 : 813 enodes (cost 1301 ) 8.557 * * [simplify]: Extracting # 0 : cost 0 8.562 * * [simplify]: Extracting # 1 : cost 0 8.567 * * [simplify]: Extracting # 2 : cost 0 8.573 * * [simplify]: Extracting # 3 : cost 0 8.578 * * [simplify]: Extracting # 4 : cost 0 8.583 * * [simplify]: Extracting # 5 : cost 0 8.588 * * [simplify]: iteration 3 : 2430 enodes (cost 1211 ) 9.487 * * [simplify]: Extracting # 0 : cost 0 9.498 * * [simplify]: Extracting # 1 : cost 0 9.507 * * [simplify]: Extracting # 2 : cost 0 9.513 * * [simplify]: Extracting # 3 : cost 0 9.522 * * [simplify]: Extracting # 4 : cost 0 9.528 * * [simplify]: Extracting # 5 : cost 0 9.533 * * [simplify]: iteration done: 5001 enodes (cost 1184 ) 9.534 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (cbrt (log (/ (+ N 1.0) N)))) (exp (cbrt (log (/ (+ N 1.0) N)))) 1 (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) 1 (cbrt (log (/ (+ N 1.0) N))) (* (cbrt (cbrt (log (/ (+ N 1.0) N)))) (cbrt (cbrt (log (/ (+ N 1.0) N))))) (cbrt (cbrt (log (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (pow N 2)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (pow N 2)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (pow N 2)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (pow N 2)))) (- (+ (cbrt (- (log 1.0) (log N))) (* (cbrt (/ 1 (pow (- (log 1.0) (log N)) 2))) (- (* 0.3333333333333333 N) (* 1/6 (/ (pow N 2) (pow 1.0 2)))))) (* 0.1111111111111111 (* (cbrt (/ 1 (pow (- (log 1.0) (log N)) 5))) (pow N 2)))) (+ (cbrt (/ 1.0 N)) (* (/ (cbrt (/ 1.0 N)) N) (- (- (/ 0.125 N) 0.16666666666666666) (/ 0.041666666666666664 (* N (pow 1.0 2)))))) (+ (* (/ (cbrt (/ (* -1.0 -1) N)) N) (- (- (/ 0.125 N) 0.16666666666666666) (/ 0.041666666666666664 (* (pow -1.0 2) N)))) (cbrt (/ (* -1.0 -1) N))) 9.535 * * * [progress]: adding candidates to table 9.886 * * [progress]: iteration 4 / 4 9.886 * * * [progress]: picking best candidate 9.908 * * * * [pick]: Picked # 9.908 * * * [progress]: localizing error 9.933 * * * [progress]: generating rewritten candidates 9.934 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 9.945 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 9.957 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 9.971 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 9.987 * * * [progress]: generating series expansions 9.987 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 9.987 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 9.987 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 9.987 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 9.987 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 9.987 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.987 * [taylor]: Taking taylor expansion of N in N 9.987 * [backup-simplify]: Simplify 0 into 0 9.987 * [backup-simplify]: Simplify 1 into 1 9.987 * [taylor]: Taking taylor expansion of 1.0 in N 9.987 * [backup-simplify]: Simplify 1.0 into 1.0 9.987 * [taylor]: Taking taylor expansion of N in N 9.987 * [backup-simplify]: Simplify 0 into 0 9.987 * [backup-simplify]: Simplify 1 into 1 9.988 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.988 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.988 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.988 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 9.988 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 9.988 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.988 * [taylor]: Taking taylor expansion of N in N 9.988 * [backup-simplify]: Simplify 0 into 0 9.988 * [backup-simplify]: Simplify 1 into 1 9.989 * [taylor]: Taking taylor expansion of 1.0 in N 9.989 * [backup-simplify]: Simplify 1.0 into 1.0 9.989 * [taylor]: Taking taylor expansion of N in N 9.989 * [backup-simplify]: Simplify 0 into 0 9.989 * [backup-simplify]: Simplify 1 into 1 9.989 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.989 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.989 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.990 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 9.990 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 9.990 * [backup-simplify]: Simplify (+ 1 0) into 1 9.991 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 9.994 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.994 * [backup-simplify]: Simplify 1.0 into 1.0 9.994 * [backup-simplify]: Simplify (+ 0 0) into 0 9.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 10.000 * [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)) 10.000 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 10.002 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 10.002 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 10.002 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 10.002 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 10.002 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 10.002 * [taylor]: Taking taylor expansion of N in N 10.002 * [backup-simplify]: Simplify 0 into 0 10.002 * [backup-simplify]: Simplify 1 into 1 10.002 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.002 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.002 * [taylor]: Taking taylor expansion of N in N 10.002 * [backup-simplify]: Simplify 0 into 0 10.002 * [backup-simplify]: Simplify 1 into 1 10.002 * [backup-simplify]: Simplify (/ 1 1) into 1 10.002 * [taylor]: Taking taylor expansion of 1.0 in N 10.002 * [backup-simplify]: Simplify 1.0 into 1.0 10.002 * [backup-simplify]: Simplify (+ 1 0) into 1 10.003 * [backup-simplify]: Simplify (* 0 1) into 0 10.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.003 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.004 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 10.004 * [backup-simplify]: Simplify (log 1) into 0 10.004 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 10.004 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 10.004 * [taylor]: Taking taylor expansion of N in N 10.004 * [backup-simplify]: Simplify 0 into 0 10.004 * [backup-simplify]: Simplify 1 into 1 10.004 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.004 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.004 * [taylor]: Taking taylor expansion of N in N 10.004 * [backup-simplify]: Simplify 0 into 0 10.004 * [backup-simplify]: Simplify 1 into 1 10.004 * [backup-simplify]: Simplify (/ 1 1) into 1 10.004 * [taylor]: Taking taylor expansion of 1.0 in N 10.004 * [backup-simplify]: Simplify 1.0 into 1.0 10.005 * [backup-simplify]: Simplify (+ 1 0) into 1 10.005 * [backup-simplify]: Simplify (* 0 1) into 0 10.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.006 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.006 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 10.007 * [backup-simplify]: Simplify (log 1) into 0 10.007 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.008 * [backup-simplify]: Simplify (+ 0 0) into 0 10.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 10.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.017 * [backup-simplify]: Simplify 1.0 into 1.0 10.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.018 * [backup-simplify]: Simplify (+ 0 0) into 0 10.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 10.031 * [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 10.031 * [backup-simplify]: Simplify -0.5 into -0.5 10.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.032 * [backup-simplify]: Simplify (+ 0 0) into 0 10.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 10.050 * [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 10.051 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 10.051 * [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)))) 10.051 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 10.051 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 10.052 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 10.052 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 10.052 * [taylor]: Taking taylor expansion of -1 in N 10.052 * [backup-simplify]: Simplify -1 into -1 10.052 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 10.052 * [taylor]: Taking taylor expansion of N in N 10.052 * [backup-simplify]: Simplify 0 into 0 10.052 * [backup-simplify]: Simplify 1 into 1 10.052 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.052 * [taylor]: Taking taylor expansion of 1.0 in N 10.052 * [backup-simplify]: Simplify 1.0 into 1.0 10.052 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.052 * [taylor]: Taking taylor expansion of N in N 10.052 * [backup-simplify]: Simplify 0 into 0 10.052 * [backup-simplify]: Simplify 1 into 1 10.052 * [backup-simplify]: Simplify (/ 1 1) into 1 10.053 * [backup-simplify]: Simplify (- 1) into -1 10.053 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.054 * [backup-simplify]: Simplify (* 0 -1) into 0 10.054 * [backup-simplify]: Simplify (* -1 0) into 0 10.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.055 * [backup-simplify]: Simplify (- 0) into 0 10.056 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.056 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 10.057 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.057 * [backup-simplify]: Simplify (log 1) into 0 10.057 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 10.057 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 10.057 * [taylor]: Taking taylor expansion of -1 in N 10.057 * [backup-simplify]: Simplify -1 into -1 10.057 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 10.057 * [taylor]: Taking taylor expansion of N in N 10.057 * [backup-simplify]: Simplify 0 into 0 10.057 * [backup-simplify]: Simplify 1 into 1 10.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.058 * [taylor]: Taking taylor expansion of 1.0 in N 10.058 * [backup-simplify]: Simplify 1.0 into 1.0 10.058 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.058 * [taylor]: Taking taylor expansion of N in N 10.058 * [backup-simplify]: Simplify 0 into 0 10.058 * [backup-simplify]: Simplify 1 into 1 10.058 * [backup-simplify]: Simplify (/ 1 1) into 1 10.058 * [backup-simplify]: Simplify (- 1) into -1 10.059 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.059 * [backup-simplify]: Simplify (* 0 -1) into 0 10.060 * [backup-simplify]: Simplify (* -1 0) into 0 10.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.061 * [backup-simplify]: Simplify (- 0) into 0 10.061 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.062 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 10.062 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.063 * [backup-simplify]: Simplify (log 1) into 0 10.063 * [backup-simplify]: Simplify 0 into 0 10.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.064 * [backup-simplify]: Simplify (- 0) into 0 10.064 * [backup-simplify]: Simplify (+ 0 0) into 0 10.067 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 10.069 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 10.076 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 10.076 * [backup-simplify]: Simplify -1.0 into -1.0 10.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.077 * [backup-simplify]: Simplify (- 0) into 0 10.078 * [backup-simplify]: Simplify (+ 0 0) into 0 10.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 10.080 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 10.089 * [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 10.089 * [backup-simplify]: Simplify -0.5 into -0.5 10.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.090 * [backup-simplify]: Simplify (- 0) into 0 10.090 * [backup-simplify]: Simplify (+ 0 0) into 0 10.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 10.091 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 10.109 * [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 10.109 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 10.109 * [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)))) 10.110 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 10.110 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 10.110 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 10.110 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 10.110 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 10.110 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.110 * [taylor]: Taking taylor expansion of N in N 10.110 * [backup-simplify]: Simplify 0 into 0 10.110 * [backup-simplify]: Simplify 1 into 1 10.110 * [taylor]: Taking taylor expansion of 1.0 in N 10.110 * [backup-simplify]: Simplify 1.0 into 1.0 10.110 * [taylor]: Taking taylor expansion of N in N 10.110 * [backup-simplify]: Simplify 0 into 0 10.110 * [backup-simplify]: Simplify 1 into 1 10.111 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.111 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 10.112 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.112 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 10.112 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 10.112 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.112 * [taylor]: Taking taylor expansion of N in N 10.112 * [backup-simplify]: Simplify 0 into 0 10.112 * [backup-simplify]: Simplify 1 into 1 10.112 * [taylor]: Taking taylor expansion of 1.0 in N 10.112 * [backup-simplify]: Simplify 1.0 into 1.0 10.112 * [taylor]: Taking taylor expansion of N in N 10.112 * [backup-simplify]: Simplify 0 into 0 10.112 * [backup-simplify]: Simplify 1 into 1 10.112 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.113 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 10.113 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.114 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 10.115 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 10.115 * [backup-simplify]: Simplify (+ 1 0) into 1 10.116 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 10.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.121 * [backup-simplify]: Simplify 1.0 into 1.0 10.122 * [backup-simplify]: Simplify (+ 0 0) into 0 10.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 10.133 * [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)) 10.134 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 10.136 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 10.136 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 10.136 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 10.136 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 10.137 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 10.137 * [taylor]: Taking taylor expansion of N in N 10.137 * [backup-simplify]: Simplify 0 into 0 10.137 * [backup-simplify]: Simplify 1 into 1 10.137 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.137 * [taylor]: Taking taylor expansion of N in N 10.137 * [backup-simplify]: Simplify 0 into 0 10.137 * [backup-simplify]: Simplify 1 into 1 10.137 * [backup-simplify]: Simplify (/ 1 1) into 1 10.137 * [taylor]: Taking taylor expansion of 1.0 in N 10.137 * [backup-simplify]: Simplify 1.0 into 1.0 10.138 * [backup-simplify]: Simplify (+ 1 0) into 1 10.138 * [backup-simplify]: Simplify (* 0 1) into 0 10.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.139 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.140 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 10.140 * [backup-simplify]: Simplify (log 1) into 0 10.140 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 10.140 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 10.140 * [taylor]: Taking taylor expansion of N in N 10.140 * [backup-simplify]: Simplify 0 into 0 10.140 * [backup-simplify]: Simplify 1 into 1 10.140 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.140 * [taylor]: Taking taylor expansion of N in N 10.140 * [backup-simplify]: Simplify 0 into 0 10.140 * [backup-simplify]: Simplify 1 into 1 10.141 * [backup-simplify]: Simplify (/ 1 1) into 1 10.141 * [taylor]: Taking taylor expansion of 1.0 in N 10.141 * [backup-simplify]: Simplify 1.0 into 1.0 10.141 * [backup-simplify]: Simplify (+ 1 0) into 1 10.142 * [backup-simplify]: Simplify (* 0 1) into 0 10.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.143 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.143 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 10.144 * [backup-simplify]: Simplify (log 1) into 0 10.144 * [backup-simplify]: Simplify 0 into 0 10.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.145 * [backup-simplify]: Simplify (+ 0 0) into 0 10.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 10.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.154 * [backup-simplify]: Simplify 1.0 into 1.0 10.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.155 * [backup-simplify]: Simplify (+ 0 0) into 0 10.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 10.167 * [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 10.167 * [backup-simplify]: Simplify -0.5 into -0.5 10.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.168 * [backup-simplify]: Simplify (+ 0 0) into 0 10.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 10.186 * [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 10.186 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 10.187 * [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)))) 10.187 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 10.187 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 10.187 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 10.188 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 10.188 * [taylor]: Taking taylor expansion of -1 in N 10.188 * [backup-simplify]: Simplify -1 into -1 10.188 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 10.188 * [taylor]: Taking taylor expansion of N in N 10.188 * [backup-simplify]: Simplify 0 into 0 10.188 * [backup-simplify]: Simplify 1 into 1 10.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.188 * [taylor]: Taking taylor expansion of 1.0 in N 10.188 * [backup-simplify]: Simplify 1.0 into 1.0 10.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.188 * [taylor]: Taking taylor expansion of N in N 10.188 * [backup-simplify]: Simplify 0 into 0 10.188 * [backup-simplify]: Simplify 1 into 1 10.188 * [backup-simplify]: Simplify (/ 1 1) into 1 10.189 * [backup-simplify]: Simplify (- 1) into -1 10.189 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.190 * [backup-simplify]: Simplify (* 0 -1) into 0 10.190 * [backup-simplify]: Simplify (* -1 0) into 0 10.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.191 * [backup-simplify]: Simplify (- 0) into 0 10.192 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.192 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 10.193 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.193 * [backup-simplify]: Simplify (log 1) into 0 10.193 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 10.193 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 10.193 * [taylor]: Taking taylor expansion of -1 in N 10.194 * [backup-simplify]: Simplify -1 into -1 10.194 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 10.194 * [taylor]: Taking taylor expansion of N in N 10.194 * [backup-simplify]: Simplify 0 into 0 10.194 * [backup-simplify]: Simplify 1 into 1 10.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.194 * [taylor]: Taking taylor expansion of 1.0 in N 10.194 * [backup-simplify]: Simplify 1.0 into 1.0 10.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.194 * [taylor]: Taking taylor expansion of N in N 10.194 * [backup-simplify]: Simplify 0 into 0 10.194 * [backup-simplify]: Simplify 1 into 1 10.194 * [backup-simplify]: Simplify (/ 1 1) into 1 10.195 * [backup-simplify]: Simplify (- 1) into -1 10.195 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.195 * [backup-simplify]: Simplify (* 0 -1) into 0 10.196 * [backup-simplify]: Simplify (* -1 0) into 0 10.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.197 * [backup-simplify]: Simplify (- 0) into 0 10.197 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.198 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 10.198 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.199 * [backup-simplify]: Simplify (log 1) into 0 10.199 * [backup-simplify]: Simplify 0 into 0 10.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.200 * [backup-simplify]: Simplify (- 0) into 0 10.200 * [backup-simplify]: Simplify (+ 0 0) into 0 10.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 10.205 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 10.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 10.211 * [backup-simplify]: Simplify -1.0 into -1.0 10.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.211 * [backup-simplify]: Simplify (- 0) into 0 10.212 * [backup-simplify]: Simplify (+ 0 0) into 0 10.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 10.213 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 10.219 * [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 10.219 * [backup-simplify]: Simplify -0.5 into -0.5 10.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.220 * [backup-simplify]: Simplify (- 0) into 0 10.220 * [backup-simplify]: Simplify (+ 0 0) into 0 10.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 10.228 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 10.247 * [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 10.247 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 10.248 * [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)))) 10.248 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 10.248 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 10.248 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 10.248 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 10.248 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 10.248 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.248 * [taylor]: Taking taylor expansion of N in N 10.248 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify 1 into 1 10.249 * [taylor]: Taking taylor expansion of 1.0 in N 10.249 * [backup-simplify]: Simplify 1.0 into 1.0 10.249 * [taylor]: Taking taylor expansion of N in N 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify 1 into 1 10.249 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.250 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 10.250 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.250 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 10.250 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 10.250 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.250 * [taylor]: Taking taylor expansion of N in N 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify 1 into 1 10.250 * [taylor]: Taking taylor expansion of 1.0 in N 10.251 * [backup-simplify]: Simplify 1.0 into 1.0 10.251 * [taylor]: Taking taylor expansion of N in N 10.251 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify 1 into 1 10.251 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.252 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 10.252 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.253 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 10.253 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 10.254 * [backup-simplify]: Simplify (+ 1 0) into 1 10.255 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 10.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.260 * [backup-simplify]: Simplify 1.0 into 1.0 10.260 * [backup-simplify]: Simplify (+ 0 0) into 0 10.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 10.271 * [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)) 10.272 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 10.274 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 10.274 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 10.274 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 10.274 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 10.274 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 10.274 * [taylor]: Taking taylor expansion of N in N 10.274 * [backup-simplify]: Simplify 0 into 0 10.274 * [backup-simplify]: Simplify 1 into 1 10.274 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.274 * [taylor]: Taking taylor expansion of N in N 10.274 * [backup-simplify]: Simplify 0 into 0 10.274 * [backup-simplify]: Simplify 1 into 1 10.275 * [backup-simplify]: Simplify (/ 1 1) into 1 10.275 * [taylor]: Taking taylor expansion of 1.0 in N 10.275 * [backup-simplify]: Simplify 1.0 into 1.0 10.275 * [backup-simplify]: Simplify (+ 1 0) into 1 10.276 * [backup-simplify]: Simplify (* 0 1) into 0 10.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.277 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.277 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 10.278 * [backup-simplify]: Simplify (log 1) into 0 10.278 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 10.278 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 10.278 * [taylor]: Taking taylor expansion of N in N 10.278 * [backup-simplify]: Simplify 0 into 0 10.278 * [backup-simplify]: Simplify 1 into 1 10.278 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.278 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.278 * [taylor]: Taking taylor expansion of N in N 10.278 * [backup-simplify]: Simplify 0 into 0 10.278 * [backup-simplify]: Simplify 1 into 1 10.278 * [backup-simplify]: Simplify (/ 1 1) into 1 10.278 * [taylor]: Taking taylor expansion of 1.0 in N 10.279 * [backup-simplify]: Simplify 1.0 into 1.0 10.279 * [backup-simplify]: Simplify (+ 1 0) into 1 10.279 * [backup-simplify]: Simplify (* 0 1) into 0 10.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.280 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.281 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 10.281 * [backup-simplify]: Simplify (log 1) into 0 10.282 * [backup-simplify]: Simplify 0 into 0 10.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.283 * [backup-simplify]: Simplify (+ 0 0) into 0 10.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 10.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.292 * [backup-simplify]: Simplify 1.0 into 1.0 10.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.293 * [backup-simplify]: Simplify (+ 0 0) into 0 10.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 10.305 * [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 10.305 * [backup-simplify]: Simplify -0.5 into -0.5 10.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.306 * [backup-simplify]: Simplify (+ 0 0) into 0 10.308 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 10.323 * [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 10.323 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 10.323 * [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)))) 10.323 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 10.324 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 10.324 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 10.324 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 10.324 * [taylor]: Taking taylor expansion of -1 in N 10.324 * [backup-simplify]: Simplify -1 into -1 10.324 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 10.324 * [taylor]: Taking taylor expansion of N in N 10.324 * [backup-simplify]: Simplify 0 into 0 10.324 * [backup-simplify]: Simplify 1 into 1 10.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.324 * [taylor]: Taking taylor expansion of 1.0 in N 10.324 * [backup-simplify]: Simplify 1.0 into 1.0 10.324 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.324 * [taylor]: Taking taylor expansion of N in N 10.324 * [backup-simplify]: Simplify 0 into 0 10.324 * [backup-simplify]: Simplify 1 into 1 10.324 * [backup-simplify]: Simplify (/ 1 1) into 1 10.324 * [backup-simplify]: Simplify (- 1) into -1 10.325 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.325 * [backup-simplify]: Simplify (* 0 -1) into 0 10.325 * [backup-simplify]: Simplify (* -1 0) into 0 10.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.326 * [backup-simplify]: Simplify (- 0) into 0 10.326 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.327 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 10.327 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.327 * [backup-simplify]: Simplify (log 1) into 0 10.327 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 10.327 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 10.327 * [taylor]: Taking taylor expansion of -1 in N 10.327 * [backup-simplify]: Simplify -1 into -1 10.328 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 10.328 * [taylor]: Taking taylor expansion of N in N 10.328 * [backup-simplify]: Simplify 0 into 0 10.328 * [backup-simplify]: Simplify 1 into 1 10.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.328 * [taylor]: Taking taylor expansion of 1.0 in N 10.328 * [backup-simplify]: Simplify 1.0 into 1.0 10.328 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.328 * [taylor]: Taking taylor expansion of N in N 10.328 * [backup-simplify]: Simplify 0 into 0 10.328 * [backup-simplify]: Simplify 1 into 1 10.328 * [backup-simplify]: Simplify (/ 1 1) into 1 10.328 * [backup-simplify]: Simplify (- 1) into -1 10.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.329 * [backup-simplify]: Simplify (* 0 -1) into 0 10.329 * [backup-simplify]: Simplify (* -1 0) into 0 10.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.329 * [backup-simplify]: Simplify (- 0) into 0 10.330 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.330 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 10.330 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.331 * [backup-simplify]: Simplify (log 1) into 0 10.331 * [backup-simplify]: Simplify 0 into 0 10.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.331 * [backup-simplify]: Simplify (- 0) into 0 10.332 * [backup-simplify]: Simplify (+ 0 0) into 0 10.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 10.335 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 10.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 10.339 * [backup-simplify]: Simplify -1.0 into -1.0 10.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.340 * [backup-simplify]: Simplify (- 0) into 0 10.340 * [backup-simplify]: Simplify (+ 0 0) into 0 10.340 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 10.341 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 10.356 * [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 10.356 * [backup-simplify]: Simplify -0.5 into -0.5 10.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.357 * [backup-simplify]: Simplify (- 0) into 0 10.358 * [backup-simplify]: Simplify (+ 0 0) into 0 10.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 10.360 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 10.373 * [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 10.373 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 10.373 * [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)))) 10.374 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 10.374 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 10.374 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 10.374 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 10.374 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 10.374 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.374 * [taylor]: Taking taylor expansion of N in N 10.374 * [backup-simplify]: Simplify 0 into 0 10.374 * [backup-simplify]: Simplify 1 into 1 10.374 * [taylor]: Taking taylor expansion of 1.0 in N 10.374 * [backup-simplify]: Simplify 1.0 into 1.0 10.374 * [taylor]: Taking taylor expansion of N in N 10.374 * [backup-simplify]: Simplify 0 into 0 10.374 * [backup-simplify]: Simplify 1 into 1 10.374 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.374 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 10.375 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.375 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 10.375 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 10.375 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 10.375 * [taylor]: Taking taylor expansion of N in N 10.375 * [backup-simplify]: Simplify 0 into 0 10.375 * [backup-simplify]: Simplify 1 into 1 10.375 * [taylor]: Taking taylor expansion of 1.0 in N 10.375 * [backup-simplify]: Simplify 1.0 into 1.0 10.375 * [taylor]: Taking taylor expansion of N in N 10.375 * [backup-simplify]: Simplify 0 into 0 10.375 * [backup-simplify]: Simplify 1 into 1 10.375 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.375 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 10.376 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.376 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 10.376 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 10.377 * [backup-simplify]: Simplify (+ 1 0) into 1 10.377 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 10.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.380 * [backup-simplify]: Simplify 1.0 into 1.0 10.380 * [backup-simplify]: Simplify (+ 0 0) into 0 10.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 10.386 * [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)) 10.387 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 10.388 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 10.388 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 10.388 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 10.388 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 10.388 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 10.388 * [taylor]: Taking taylor expansion of N in N 10.388 * [backup-simplify]: Simplify 0 into 0 10.388 * [backup-simplify]: Simplify 1 into 1 10.388 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.388 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.388 * [taylor]: Taking taylor expansion of N in N 10.388 * [backup-simplify]: Simplify 0 into 0 10.388 * [backup-simplify]: Simplify 1 into 1 10.388 * [backup-simplify]: Simplify (/ 1 1) into 1 10.388 * [taylor]: Taking taylor expansion of 1.0 in N 10.388 * [backup-simplify]: Simplify 1.0 into 1.0 10.389 * [backup-simplify]: Simplify (+ 1 0) into 1 10.389 * [backup-simplify]: Simplify (* 0 1) into 0 10.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.390 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.390 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 10.390 * [backup-simplify]: Simplify (log 1) into 0 10.390 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 10.390 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 10.390 * [taylor]: Taking taylor expansion of N in N 10.390 * [backup-simplify]: Simplify 0 into 0 10.390 * [backup-simplify]: Simplify 1 into 1 10.390 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 10.390 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.390 * [taylor]: Taking taylor expansion of N in N 10.390 * [backup-simplify]: Simplify 0 into 0 10.390 * [backup-simplify]: Simplify 1 into 1 10.391 * [backup-simplify]: Simplify (/ 1 1) into 1 10.391 * [taylor]: Taking taylor expansion of 1.0 in N 10.391 * [backup-simplify]: Simplify 1.0 into 1.0 10.391 * [backup-simplify]: Simplify (+ 1 0) into 1 10.391 * [backup-simplify]: Simplify (* 0 1) into 0 10.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.392 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.392 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 10.392 * [backup-simplify]: Simplify (log 1) into 0 10.392 * [backup-simplify]: Simplify 0 into 0 10.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.393 * [backup-simplify]: Simplify (+ 0 0) into 0 10.396 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 10.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.402 * [backup-simplify]: Simplify 1.0 into 1.0 10.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.404 * [backup-simplify]: Simplify (+ 0 0) into 0 10.405 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 10.412 * [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 10.413 * [backup-simplify]: Simplify -0.5 into -0.5 10.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.413 * [backup-simplify]: Simplify (+ 0 0) into 0 10.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 10.423 * [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 10.423 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 10.423 * [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)))) 10.424 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 10.424 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 10.424 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 10.424 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 10.424 * [taylor]: Taking taylor expansion of -1 in N 10.424 * [backup-simplify]: Simplify -1 into -1 10.424 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 10.424 * [taylor]: Taking taylor expansion of N in N 10.424 * [backup-simplify]: Simplify 0 into 0 10.424 * [backup-simplify]: Simplify 1 into 1 10.424 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.424 * [taylor]: Taking taylor expansion of 1.0 in N 10.424 * [backup-simplify]: Simplify 1.0 into 1.0 10.424 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.424 * [taylor]: Taking taylor expansion of N in N 10.424 * [backup-simplify]: Simplify 0 into 0 10.424 * [backup-simplify]: Simplify 1 into 1 10.424 * [backup-simplify]: Simplify (/ 1 1) into 1 10.424 * [backup-simplify]: Simplify (- 1) into -1 10.425 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.425 * [backup-simplify]: Simplify (* 0 -1) into 0 10.425 * [backup-simplify]: Simplify (* -1 0) into 0 10.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.426 * [backup-simplify]: Simplify (- 0) into 0 10.426 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.426 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 10.427 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.427 * [backup-simplify]: Simplify (log 1) into 0 10.427 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 10.427 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 10.427 * [taylor]: Taking taylor expansion of -1 in N 10.427 * [backup-simplify]: Simplify -1 into -1 10.427 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 10.427 * [taylor]: Taking taylor expansion of N in N 10.427 * [backup-simplify]: Simplify 0 into 0 10.427 * [backup-simplify]: Simplify 1 into 1 10.427 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 10.427 * [taylor]: Taking taylor expansion of 1.0 in N 10.427 * [backup-simplify]: Simplify 1.0 into 1.0 10.427 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.427 * [taylor]: Taking taylor expansion of N in N 10.427 * [backup-simplify]: Simplify 0 into 0 10.427 * [backup-simplify]: Simplify 1 into 1 10.427 * [backup-simplify]: Simplify (/ 1 1) into 1 10.428 * [backup-simplify]: Simplify (- 1) into -1 10.428 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.428 * [backup-simplify]: Simplify (* 0 -1) into 0 10.428 * [backup-simplify]: Simplify (* -1 0) into 0 10.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.429 * [backup-simplify]: Simplify (- 0) into 0 10.429 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.430 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 10.430 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.430 * [backup-simplify]: Simplify (log 1) into 0 10.430 * [backup-simplify]: Simplify 0 into 0 10.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.431 * [backup-simplify]: Simplify (- 0) into 0 10.431 * [backup-simplify]: Simplify (+ 0 0) into 0 10.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 10.434 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 10.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 10.438 * [backup-simplify]: Simplify -1.0 into -1.0 10.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.439 * [backup-simplify]: Simplify (- 0) into 0 10.439 * [backup-simplify]: Simplify (+ 0 0) into 0 10.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 10.440 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 10.453 * [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 10.453 * [backup-simplify]: Simplify -0.5 into -0.5 10.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.454 * [backup-simplify]: Simplify (- 0) into 0 10.454 * [backup-simplify]: Simplify (+ 0 0) into 0 10.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 10.456 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 10.466 * [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 10.466 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 10.466 * [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)))) 10.466 * * * [progress]: simplifying candidates 10.468 * [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 (* (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 (* (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 (* (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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 10.471 * * [simplify]: Extracting # 0 : cost 0 10.471 * * [simplify]: Extracting # 1 : cost 0 10.471 * * [simplify]: Extracting # 2 : cost 0 10.471 * * [simplify]: Extracting # 3 : cost 0 10.472 * * [simplify]: Extracting # 4 : cost 0 10.472 * * [simplify]: Extracting # 5 : cost 0 10.472 * * [simplify]: Extracting # 6 : cost 0 10.472 * * [simplify]: Extracting # 7 : cost 0 10.473 * * [simplify]: iteration 0 : 84 enodes (cost 1524 ) 10.509 * * [simplify]: Extracting # 0 : cost 0 10.509 * * [simplify]: Extracting # 1 : cost 0 10.509 * * [simplify]: Extracting # 2 : cost 0 10.510 * * [simplify]: Extracting # 3 : cost 0 10.510 * * [simplify]: Extracting # 4 : cost 0 10.510 * * [simplify]: iteration 1 : 168 enodes (cost 1452 ) 10.587 * * [simplify]: Extracting # 0 : cost 0 10.587 * * [simplify]: Extracting # 1 : cost 0 10.587 * * [simplify]: Extracting # 2 : cost 0 10.588 * * [simplify]: Extracting # 3 : cost 0 10.588 * * [simplify]: iteration 2 : 350 enodes (cost 1336 ) 10.708 * * [simplify]: Extracting # 0 : cost 0 10.709 * * [simplify]: Extracting # 1 : cost 0 10.711 * * [simplify]: Extracting # 2 : cost 0 10.712 * * [simplify]: Extracting # 3 : cost 0 10.713 * * [simplify]: Extracting # 4 : cost 0 10.714 * * [simplify]: iteration 3 : 731 enodes (cost 1284 ) 11.168 * * [simplify]: Extracting # 0 : cost 0 11.172 * * [simplify]: Extracting # 1 : cost 0 11.174 * * [simplify]: Extracting # 2 : cost 0 11.177 * * [simplify]: Extracting # 3 : cost 0 11.179 * * [simplify]: Extracting # 4 : cost 0 11.182 * * [simplify]: iteration 4 : 1617 enodes (cost 1276 ) 12.629 * * [simplify]: Extracting # 0 : cost 0 12.638 * * [simplify]: Extracting # 1 : cost 0 12.644 * * [simplify]: Extracting # 2 : cost 0 12.649 * * [simplify]: Extracting # 3 : cost 0 12.655 * * [simplify]: Extracting # 4 : cost 0 12.661 * * [simplify]: iteration 5 : 3556 enodes (cost 1252 ) 13.978 * * [simplify]: Extracting # 0 : cost 0 13.984 * * [simplify]: Extracting # 1 : cost 0 13.988 * * [simplify]: Extracting # 2 : cost 0 13.996 * * [simplify]: Extracting # 3 : cost 0 13.999 * * [simplify]: Extracting # 4 : cost 0 14.003 * * [simplify]: iteration done: 5001 enodes (cost 1236 ) 14.004 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (* N (+ 1.0 (/ -1/2 (/ (pow 1.0 2) N)))) (- (log N) (log 1.0))) (/ (+ (/ (- (/ 0.3333333333333333 N) 0.5) N) 1.0) N) (/ (+ (/ (- (/ 0.3333333333333333 N) 0.5) N) 1.0) N) (- (* N (+ 1.0 (/ -1/2 (/ (pow 1.0 2) N)))) (- (log N) (log 1.0))) (/ (+ (/ (- (/ 0.3333333333333333 N) 0.5) N) 1.0) N) (/ (+ (/ (- (/ 0.3333333333333333 N) 0.5) N) 1.0) N) (- (* N (+ 1.0 (/ -1/2 (/ (pow 1.0 2) N)))) (- (log N) (log 1.0))) (/ (+ (/ (- (/ 0.3333333333333333 N) 0.5) N) 1.0) N) (/ (+ (/ (- (/ 0.3333333333333333 N) 0.5) N) 1.0) N) (- (* N (+ 1.0 (/ -1/2 (/ (pow 1.0 2) N)))) (- (log N) (log 1.0))) (/ (+ (/ (- (/ 0.3333333333333333 N) 0.5) N) 1.0) N) (/ (+ (/ (- (/ 0.3333333333333333 N) 0.5) N) 1.0) N) 14.005 * * * [progress]: adding candidates to table 14.549 * [progress]: [Phase 3 of 3] Extracting. 14.550 * * [regime]: Finding splitpoints for: (# # # # #) 14.555 * * * [regime-changes]: Trying 1 branch expressions: (N) 14.556 * * * * [regimes]: Trying to branch on N from (# # # # #) 14.594 * * * [regime]: Found split indices: #