24.532 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.087 * * * [progress]: [2/2] Setting up program. 0.089 * [progress]: [Phase 2 of 3] Improving. 0.089 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.090 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.090 * * [simplify]: iteration 0: 6 enodes 0.091 * * [simplify]: iteration 1: 11 enodes 0.093 * * [simplify]: iteration 2: 12 enodes 0.096 * * [simplify]: iteration complete: 12 enodes 0.096 * * [simplify]: Extracting #0: cost 1 inf + 0 0.096 * * [simplify]: Extracting #1: cost 4 inf + 0 0.096 * * [simplify]: Extracting #2: cost 6 inf + 0 0.096 * * [simplify]: Extracting #3: cost 4 inf + 183 0.097 * * [simplify]: Extracting #4: cost 0 inf + 560 0.097 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.098 * * [progress]: iteration 1 / 4 0.098 * * * [progress]: picking best candidate 0.102 * * * * [pick]: Picked # 0.102 * * * [progress]: localizing error 0.120 * * * [progress]: generating rewritten candidates 0.120 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.125 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.157 * * * [progress]: generating series expansions 0.157 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.157 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.157 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.157 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.157 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.157 * [taylor]: Taking taylor expansion of N in N 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of 1 in N 0.157 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (+ 0 1) into 1 0.159 * [backup-simplify]: Simplify (log 1) into 0 0.159 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.159 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of 1 in N 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (+ 0 1) into 1 0.160 * [backup-simplify]: Simplify (log 1) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ 1 0) into 1 0.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.166 * [backup-simplify]: Simplify -1/2 into -1/2 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.172 * [backup-simplify]: Simplify 1/3 into 1/3 0.173 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 0.173 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.173 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.173 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of 1 in N 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.174 * [backup-simplify]: Simplify (log 1) into 0 0.174 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) 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 * [taylor]: Taking taylor expansion of 1 in N 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (+ 1 0) into 1 0.176 * [backup-simplify]: Simplify (log 1) into 0 0.177 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.177 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 1) into 1 0.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.179 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.184 * [backup-simplify]: Simplify -1/2 into -1/2 0.184 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.184 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.184 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.184 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.184 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.184 * [taylor]: Taking taylor expansion of 1 in N 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [backup-simplify]: Simplify (- 1) into -1 0.186 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.186 * [backup-simplify]: Simplify (log -1) into (log -1) 0.186 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.186 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.186 * [taylor]: Taking taylor expansion of 1 in N 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [backup-simplify]: Simplify (- 1) into -1 0.188 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.188 * [backup-simplify]: Simplify (log -1) into (log -1) 0.189 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.189 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify (+ 1 0) into 1 0.193 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.193 * [backup-simplify]: Simplify -1 into -1 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.198 * [backup-simplify]: Simplify -1/2 into -1/2 0.199 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.199 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.199 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.199 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.199 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.199 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.199 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [taylor]: Taking taylor expansion of 1 in N 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (+ 0 1) into 1 0.201 * [backup-simplify]: Simplify (log 1) into 0 0.201 * [taylor]: Taking taylor expansion of (log N) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (log 1) into 0 0.201 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.201 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.201 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [taylor]: Taking taylor expansion of 1 in N 0.201 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (+ 0 1) into 1 0.202 * [backup-simplify]: Simplify (log 1) into 0 0.202 * [taylor]: Taking taylor expansion of (log N) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (log 1) into 0 0.203 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.203 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.203 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.203 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.204 * [backup-simplify]: Simplify (+ 1 0) into 1 0.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.206 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ 1 0) into 1 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.212 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.213 * [backup-simplify]: Simplify -1/2 into -1/2 0.214 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.214 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.214 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.214 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.214 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.214 * [taylor]: Taking taylor expansion of N in N 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of 1 in N 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [backup-simplify]: Simplify (log 1) into 0 0.215 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (log 1) into 0 0.216 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.216 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 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 * [taylor]: Taking taylor expansion of 1 in N 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (+ 1 0) into 1 0.217 * [backup-simplify]: Simplify (log 1) into 0 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 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 0 0.219 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.219 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.219 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.219 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ 0 1) into 1 0.221 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.224 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.233 * [backup-simplify]: Simplify -1/2 into -1/2 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [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 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.247 * [backup-simplify]: Simplify 1/3 into 1/3 0.247 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.248 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.248 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.248 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.248 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.248 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.248 * [taylor]: Taking taylor expansion of 1 in N 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.248 * [taylor]: Taking taylor expansion of N in N 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [backup-simplify]: Simplify (- 1) into -1 0.249 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.250 * [backup-simplify]: Simplify (log -1) into (log -1) 0.250 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.250 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.250 * [taylor]: Taking taylor expansion of -1 in N 0.250 * [backup-simplify]: Simplify -1 into -1 0.250 * [taylor]: Taking taylor expansion of N in N 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ -1 1) into -1 0.251 * [backup-simplify]: Simplify (log -1) into (log -1) 0.251 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.251 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.251 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.251 * [taylor]: Taking taylor expansion of 1 in N 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.251 * [taylor]: Taking taylor expansion of N in N 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [backup-simplify]: Simplify (- 1) into -1 0.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.253 * [backup-simplify]: Simplify (log -1) into (log -1) 0.253 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.254 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.254 * [taylor]: Taking taylor expansion of -1 in N 0.254 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (/ -1 1) into -1 0.255 * [backup-simplify]: Simplify (log -1) into (log -1) 0.256 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.256 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.257 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.258 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ -1 0) into -1 0.264 * [backup-simplify]: Simplify -1 into -1 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.273 * [backup-simplify]: Simplify -1/2 into -1/2 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 0.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [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 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.289 * [backup-simplify]: Simplify -1/3 into -1/3 0.290 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.290 * * * [progress]: simplifying candidates 0.290 * * * * [progress]: [ 1 / 52 ] simplifiying candidate # 0.290 * * * * [progress]: [ 2 / 52 ] simplifiying candidate # 0.290 * * * * [progress]: [ 3 / 52 ] simplifiying candidate # 0.290 * * * * [progress]: [ 4 / 52 ] simplifiying candidate # 0.290 * * * * [progress]: [ 5 / 52 ] simplifiying candidate # 0.290 * * * * [progress]: [ 6 / 52 ] simplifiying candidate # 0.290 * * * * [progress]: [ 7 / 52 ] simplifiying candidate # 0.290 * * * * [progress]: [ 8 / 52 ] simplifiying candidate # 0.290 * * * * [progress]: [ 9 / 52 ] simplifiying candidate # 0.290 * * * * [progress]: [ 10 / 52 ] simplifiying candidate # 0.290 * * * * [progress]: [ 11 / 52 ] simplifiying candidate # 0.290 * * * * [progress]: [ 12 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 13 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 14 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 15 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 16 / 52 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.291 * * * * [progress]: [ 17 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 18 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 19 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 20 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 21 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 22 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 23 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 24 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 25 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 26 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 27 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 28 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 29 / 52 ] simplifiying candidate # 0.291 * * * * [progress]: [ 30 / 52 ] simplifiying candidate # 0.292 * * * * [progress]: [ 31 / 52 ] simplifiying candidate # 0.292 * * * * [progress]: [ 32 / 52 ] simplifiying candidate # 0.292 * * * * [progress]: [ 33 / 52 ] simplifiying candidate # 0.292 * * * * [progress]: [ 34 / 52 ] simplifiying candidate # 0.292 * * * * [progress]: [ 35 / 52 ] simplifiying candidate # 0.292 * * * * [progress]: [ 36 / 52 ] simplifiying candidate # 0.292 * * * * [progress]: [ 37 / 52 ] simplifiying candidate # 0.292 * * * * [progress]: [ 38 / 52 ] simplifiying candidate # 0.292 * * * * [progress]: [ 39 / 52 ] simplifiying candidate # 0.292 * * * * [progress]: [ 40 / 52 ] simplifiying candidate # 0.292 * * * * [progress]: [ 41 / 52 ] simplifiying candidate # 0.292 * * * * [progress]: [ 42 / 52 ] simplifiying candidate # 0.292 * * * * [progress]: [ 43 / 52 ] simplifiying candidate # 0.292 * * * * [progress]: [ 44 / 52 ] simplifiying candidate # 0.292 * * * * [progress]: [ 45 / 52 ] simplifiying candidate # 0.292 * * * * [progress]: [ 46 / 52 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.292 * * * * [progress]: [ 47 / 52 ] simplifiying candidate # 0.293 * * * * [progress]: [ 48 / 52 ] simplifiying candidate # 0.293 * * * * [progress]: [ 49 / 52 ] simplifiying candidate # 0.293 * * * * [progress]: [ 50 / 52 ] simplifiying candidate # 0.293 * * * * [progress]: [ 51 / 52 ] simplifiying candidate # 0.293 * * * * [progress]: [ 52 / 52 ] simplifiying candidate # 0.294 * [simplify]: Simplifying: (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log 1) (log (+ N 1)) (log 1) (log (+ N 1)) (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1)))) (log (- (* N N) (* 1 1))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (exp (log (+ N 1))) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (/ (+ N 1) N) (/ (+ N 1) (exp (log N))) (/ (exp (log (+ N 1))) N) (/ (exp (log (+ N 1))) (exp (log N))) (log (- (log (+ N 1)) (log N))) (exp (- (log (+ N 1)) (log N))) (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) (cbrt (- (log (+ N 1)) (log N))) (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (- (pow (log (+ N 1)) 3) (pow (log N) 3)) (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))) (- (log N)) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N)) (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N))) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1)) (log (sqrt N))) (- (log (+ N 1)) (log 1)) (- (log (cbrt (+ N 1))) (log N)) (- (log (sqrt (+ N 1))) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)) (+ (log (- N 1)) (log N)) (- (log N)) (real->posit16 (- (log (+ N 1)) (log N))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.295 * * [simplify]: iteration 0: 101 enodes 0.345 * * [simplify]: iteration 1: 203 enodes 0.415 * * [simplify]: iteration 2: 464 enodes 0.613 * * [simplify]: iteration 3: 1433 enodes 1.723 * * [simplify]: iteration 4: 4701 enodes 2.887 * * [simplify]: iteration complete: 5002 enodes 2.887 * * [simplify]: Extracting #0: cost 41 inf + 0 2.889 * * [simplify]: Extracting #1: cost 329 inf + 1 2.894 * * [simplify]: Extracting #2: cost 913 inf + 2140 2.907 * * [simplify]: Extracting #3: cost 956 inf + 30606 2.937 * * [simplify]: Extracting #4: cost 536 inf + 117604 3.004 * * [simplify]: Extracting #5: cost 107 inf + 236786 3.059 * * [simplify]: Extracting #6: cost 4 inf + 272440 3.116 * * [simplify]: Extracting #7: cost 0 inf + 274128 3.174 * [simplify]: Simplified to: (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (+ 1 N)) 0 (log (+ 1 N)) (log (+ (* N (* N N)) 1)) (log (- (+ 1 (* N N)) N)) (log (+ -1 (* N N))) (log (- N 1)) (log (+ 1 N)) (log (log (+ 1 N))) (+ 1 N) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (log (+ 1 N))) (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N))) (real->posit16 (log (+ 1 N))) (/ (+ 1 N) N) (/ (+ 1 N) N) (/ (+ 1 N) N) (/ (+ 1 N) N) (log (- (log (+ 1 N)) (log N))) (/ (+ 1 N) N) (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) (cbrt (- (log (+ 1 N)) (log N))) (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (- (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (* (* (log N) (log N)) (log N))) (+ (* (log N) (log N)) (* (log (+ 1 N)) (+ (log N) (log (+ 1 N))))) (- (log N)) (* (+ (log N) (log (+ 1 N))) (- (log (+ 1 N)) (log N))) (+ (log N) (log (+ 1 N))) (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (- (+ 1 (* N N)) N)) (log N)) (+ (log N) (log (- N 1))) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (+ (* (* N N) (+ (* N 1/3) -1/2)) N) (+ (- (/ 1 N) (/ 1/2 (* N N))) (log N)) (+ (- (/ 1 N) (/ 1/2 (* N N))) (log N)) (- N (+ (log N) (* 1/2 (* N N)))) (- (/ (/ 1/3 N) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))) (- (/ (/ 1/3 N) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N))) 3.176 * * * [progress]: adding candidates to table 3.364 * * [progress]: iteration 2 / 4 3.364 * * * [progress]: picking best candidate 3.370 * * * * [pick]: Picked # 3.370 * * * [progress]: localizing error 3.379 * * * [progress]: generating rewritten candidates 3.379 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.395 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.419 * * * [progress]: generating series expansions 3.419 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.419 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 3.419 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 3.419 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.419 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.420 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.420 * [taylor]: Taking taylor expansion of N in N 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 1 into 1 3.420 * [taylor]: Taking taylor expansion of 1 in N 3.420 * [backup-simplify]: Simplify 1 into 1 3.420 * [taylor]: Taking taylor expansion of N in N 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify (+ 0 1) into 1 3.421 * [backup-simplify]: Simplify (/ 1 1) into 1 3.421 * [backup-simplify]: Simplify (log 1) into 0 3.421 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.421 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.421 * [taylor]: Taking taylor expansion of (+ N 1) 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 in N 3.421 * [backup-simplify]: Simplify 1 into 1 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 (+ 0 1) into 1 3.422 * [backup-simplify]: Simplify (/ 1 1) into 1 3.422 * [backup-simplify]: Simplify (log 1) into 0 3.423 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.423 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.423 * [backup-simplify]: Simplify (+ 1 0) into 1 3.424 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.426 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.426 * [backup-simplify]: Simplify 1 into 1 3.426 * [backup-simplify]: Simplify (+ 0 0) into 0 3.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.430 * [backup-simplify]: Simplify -1/2 into -1/2 3.430 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 3.431 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 3.431 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 3.431 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.431 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.431 * [taylor]: Taking taylor expansion of N in N 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 1 into 1 3.431 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.431 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.431 * [taylor]: Taking taylor expansion of N in N 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 1 into 1 3.432 * [backup-simplify]: Simplify (/ 1 1) into 1 3.432 * [taylor]: Taking taylor expansion of 1 in N 3.432 * [backup-simplify]: Simplify 1 into 1 3.432 * [backup-simplify]: Simplify (+ 1 0) into 1 3.433 * [backup-simplify]: Simplify (* 0 1) into 0 3.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.434 * [backup-simplify]: Simplify (+ 0 1) into 1 3.435 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.435 * [backup-simplify]: Simplify (log 1) into 0 3.436 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.436 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.436 * [taylor]: Taking taylor expansion of N in N 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify 1 into 1 3.436 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.436 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.436 * [taylor]: Taking taylor expansion of N in N 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify 1 into 1 3.436 * [backup-simplify]: Simplify (/ 1 1) into 1 3.436 * [taylor]: Taking taylor expansion of 1 in N 3.436 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (+ 1 0) into 1 3.437 * [backup-simplify]: Simplify (* 0 1) into 0 3.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.438 * [backup-simplify]: Simplify (+ 0 1) into 1 3.439 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.439 * [backup-simplify]: Simplify (log 1) into 0 3.440 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.441 * [backup-simplify]: Simplify (+ 0 0) into 0 3.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.443 * [backup-simplify]: Simplify 1 into 1 3.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.445 * [backup-simplify]: Simplify (+ 0 0) into 0 3.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.449 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.449 * [backup-simplify]: Simplify -1/2 into -1/2 3.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.451 * [backup-simplify]: Simplify (+ 0 0) into 0 3.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.457 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 3.457 * [backup-simplify]: Simplify 1/3 into 1/3 3.458 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.458 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 3.458 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 3.458 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.458 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.458 * [taylor]: Taking taylor expansion of -1 in N 3.458 * [backup-simplify]: Simplify -1 into -1 3.458 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.458 * [taylor]: Taking taylor expansion of N in N 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 1 into 1 3.458 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.458 * [taylor]: Taking taylor expansion of 1 in N 3.458 * [backup-simplify]: Simplify 1 into 1 3.458 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.459 * [taylor]: Taking taylor expansion of N in N 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 1 into 1 3.459 * [backup-simplify]: Simplify (/ 1 1) into 1 3.459 * [backup-simplify]: Simplify (- 1) into -1 3.460 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.460 * [backup-simplify]: Simplify (* 0 -1) into 0 3.461 * [backup-simplify]: Simplify (* -1 0) into 0 3.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.462 * [backup-simplify]: Simplify (- 0) into 0 3.463 * [backup-simplify]: Simplify (+ 1 0) into 1 3.463 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.464 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.464 * [backup-simplify]: Simplify (log 1) into 0 3.464 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.464 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.464 * [taylor]: Taking taylor expansion of -1 in N 3.465 * [backup-simplify]: Simplify -1 into -1 3.465 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.465 * [taylor]: Taking taylor expansion of N in N 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 1 into 1 3.465 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.465 * [taylor]: Taking taylor expansion of 1 in N 3.465 * [backup-simplify]: Simplify 1 into 1 3.465 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.465 * [taylor]: Taking taylor expansion of N in N 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 1 into 1 3.465 * [backup-simplify]: Simplify (/ 1 1) into 1 3.466 * [backup-simplify]: Simplify (- 1) into -1 3.466 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.466 * [backup-simplify]: Simplify (* 0 -1) into 0 3.467 * [backup-simplify]: Simplify (* -1 0) into 0 3.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.468 * [backup-simplify]: Simplify (- 0) into 0 3.469 * [backup-simplify]: Simplify (+ 1 0) into 1 3.469 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.470 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.471 * [backup-simplify]: Simplify (log 1) into 0 3.471 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.472 * [backup-simplify]: Simplify (- 0) into 0 3.472 * [backup-simplify]: Simplify (+ 0 0) into 0 3.474 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.475 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.476 * [backup-simplify]: Simplify -1 into -1 3.477 * [backup-simplify]: Simplify (- (+ (* 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 3.479 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.481 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.484 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.484 * [backup-simplify]: Simplify -1/2 into -1/2 3.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.485 * [backup-simplify]: Simplify (- 0) into 0 3.486 * [backup-simplify]: Simplify (+ 0 0) into 0 3.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.489 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.494 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 3.495 * [backup-simplify]: Simplify -1/3 into -1/3 3.495 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.495 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.495 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 3.495 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 3.495 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.495 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.496 * [taylor]: Taking taylor expansion of N in N 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 1 into 1 3.496 * [taylor]: Taking taylor expansion of 1 in N 3.496 * [backup-simplify]: Simplify 1 into 1 3.496 * [taylor]: Taking taylor expansion of N in N 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 1 into 1 3.496 * [backup-simplify]: Simplify (+ 0 1) into 1 3.497 * [backup-simplify]: Simplify (/ 1 1) into 1 3.497 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.497 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.497 * [taylor]: Taking taylor expansion of N in N 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [taylor]: Taking taylor expansion of 1 in N 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [taylor]: Taking taylor expansion of N in N 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.498 * [backup-simplify]: Simplify (+ 0 1) into 1 3.498 * [backup-simplify]: Simplify (/ 1 1) into 1 3.498 * [backup-simplify]: Simplify 1 into 1 3.498 * [backup-simplify]: Simplify (+ 1 0) into 1 3.499 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.499 * [backup-simplify]: Simplify 1 into 1 3.500 * [backup-simplify]: Simplify (+ 0 0) into 0 3.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify (+ 0 0) into 0 3.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify (+ 0 0) into 0 3.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify (+ 0 0) into 0 3.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.505 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify (+ 0 0) into 0 3.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify (+ 0 0) into 0 3.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 3.508 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 3.508 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 3.508 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.508 * [taylor]: Taking taylor expansion of N in N 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 1 into 1 3.508 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.508 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.509 * [taylor]: Taking taylor expansion of N in N 3.509 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify 1 into 1 3.509 * [backup-simplify]: Simplify (/ 1 1) into 1 3.509 * [taylor]: Taking taylor expansion of 1 in N 3.509 * [backup-simplify]: Simplify 1 into 1 3.509 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.509 * [taylor]: Taking taylor expansion of N in N 3.509 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify 1 into 1 3.509 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.509 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.509 * [taylor]: Taking taylor expansion of N in N 3.509 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify 1 into 1 3.510 * [backup-simplify]: Simplify (/ 1 1) into 1 3.510 * [taylor]: Taking taylor expansion of 1 in N 3.510 * [backup-simplify]: Simplify 1 into 1 3.510 * [backup-simplify]: Simplify (+ 1 0) into 1 3.510 * [backup-simplify]: Simplify (* 0 1) into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.512 * [backup-simplify]: Simplify (+ 0 1) into 1 3.512 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.512 * [backup-simplify]: Simplify 1 into 1 3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.514 * [backup-simplify]: Simplify (+ 0 0) into 0 3.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (+ 0 0) into 0 3.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) 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)))) into 0 3.518 * [backup-simplify]: Simplify (+ 0 0) into 0 3.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.519 * [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)))) into 0 3.520 * [backup-simplify]: Simplify (+ 0 0) into 0 3.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.522 * [backup-simplify]: Simplify (+ 0 0) into 0 3.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) 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)))) into 0 3.523 * [backup-simplify]: Simplify (+ 0 0) into 0 3.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 3.524 * [backup-simplify]: Simplify 0 into 0 3.525 * [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 3.525 * [backup-simplify]: Simplify (+ 0 0) into 0 3.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 3.527 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 3.527 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 3.527 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.527 * [taylor]: Taking taylor expansion of -1 in N 3.527 * [backup-simplify]: Simplify -1 into -1 3.527 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.527 * [taylor]: Taking taylor expansion of N in N 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 1 into 1 3.527 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.527 * [taylor]: Taking taylor expansion of 1 in N 3.527 * [backup-simplify]: Simplify 1 into 1 3.527 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.527 * [taylor]: Taking taylor expansion of N in N 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 1 into 1 3.527 * [backup-simplify]: Simplify (/ 1 1) into 1 3.527 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.527 * [taylor]: Taking taylor expansion of -1 in N 3.527 * [backup-simplify]: Simplify -1 into -1 3.527 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.527 * [taylor]: Taking taylor expansion of N in N 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 1 into 1 3.528 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.528 * [taylor]: Taking taylor expansion of 1 in N 3.528 * [backup-simplify]: Simplify 1 into 1 3.528 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.528 * [taylor]: Taking taylor expansion of N in N 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify 1 into 1 3.528 * [backup-simplify]: Simplify (/ 1 1) into 1 3.528 * [backup-simplify]: Simplify (- 1) into -1 3.528 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.529 * [backup-simplify]: Simplify (* 0 -1) into 0 3.529 * [backup-simplify]: Simplify (* -1 0) into 0 3.529 * [backup-simplify]: Simplify 0 into 0 3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.530 * [backup-simplify]: Simplify (- 0) into 0 3.530 * [backup-simplify]: Simplify (+ 1 0) into 1 3.530 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.531 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.531 * [backup-simplify]: Simplify 1 into 1 3.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.532 * [backup-simplify]: Simplify (- 0) into 0 3.532 * [backup-simplify]: Simplify (+ 0 0) into 0 3.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.533 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.533 * [backup-simplify]: Simplify -1 into -1 3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.534 * [backup-simplify]: Simplify (- 0) into 0 3.534 * [backup-simplify]: Simplify (+ 0 0) into 0 3.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.536 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.536 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.536 * [backup-simplify]: Simplify (- 0) into 0 3.537 * [backup-simplify]: Simplify (+ 0 0) into 0 3.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.538 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.538 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.539 * [backup-simplify]: Simplify (- 0) into 0 3.539 * [backup-simplify]: Simplify (+ 0 0) into 0 3.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 3.541 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 3.541 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.542 * [backup-simplify]: Simplify (- 0) into 0 3.542 * [backup-simplify]: Simplify (+ 0 0) into 0 3.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 3.546 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 3.546 * [backup-simplify]: Simplify 0 into 0 3.547 * [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 3.547 * [backup-simplify]: Simplify (- 0) into 0 3.548 * [backup-simplify]: Simplify (+ 0 0) into 0 3.549 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 3.550 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 3.550 * [backup-simplify]: Simplify 0 into 0 3.551 * [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 3.551 * [backup-simplify]: Simplify (- 0) into 0 3.551 * [backup-simplify]: Simplify (+ 0 0) into 0 3.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 3.554 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 3.554 * * * [progress]: simplifying candidates 3.554 * * * * [progress]: [ 1 / 82 ] simplifiying candidate # 3.554 * * * * [progress]: [ 2 / 82 ] simplifiying candidate # 3.554 * * * * [progress]: [ 3 / 82 ] simplifiying candidate # 3.554 * * * * [progress]: [ 4 / 82 ] simplifiying candidate # 3.554 * * * * [progress]: [ 5 / 82 ] simplifiying candidate # 3.554 * * * * [progress]: [ 6 / 82 ] simplifiying candidate # 3.554 * * * * [progress]: [ 7 / 82 ] simplifiying candidate # 3.554 * * * * [progress]: [ 8 / 82 ] simplifiying candidate # 3.554 * * * * [progress]: [ 9 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 10 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 11 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 12 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 13 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 14 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 15 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 16 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 17 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 18 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 19 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 20 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 21 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 22 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 23 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 24 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 25 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 26 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 27 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 28 / 82 ] simplifiying candidate # 3.555 * * * * [progress]: [ 29 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 30 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 31 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 32 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 33 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 34 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 35 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 36 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 37 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 38 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 39 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 40 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 41 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 42 / 82 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 3.556 * * * * [progress]: [ 43 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 44 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 45 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 46 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 47 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 48 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 49 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 50 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 51 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 52 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 53 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 54 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 55 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 56 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 57 / 82 ] simplifiying candidate # 3.556 * * * * [progress]: [ 58 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 59 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 60 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 61 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 62 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 63 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 64 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 65 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 66 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 67 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 68 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 69 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 70 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 71 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 72 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 73 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 74 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 75 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 76 / 82 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 3.557 * * * * [progress]: [ 77 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 78 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 79 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 80 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 81 / 82 ] simplifiying candidate # 3.557 * * * * [progress]: [ 82 / 82 ] simplifiying candidate # 3.558 * [simplify]: Simplifying: (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log 1) (log (/ (+ 1 N) N)) (log (+ 1 N)) (log (/ 1 N)) (log (+ 1 N)) (log N) (log (- (+ 1 N))) (log (- N)) (log 1) (log (/ N (+ 1 N))) (log (/ (+ 1 N) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ 1 N) (sqrt N))) (log (sqrt N)) (log (/ (+ 1 N) 1)) (log N) (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (/ N (cbrt (+ 1 N)))) (log (sqrt (+ 1 N))) (log (/ N (sqrt (+ 1 N)))) (log 1) (log (/ N (+ 1 N))) (log 1) (log (/ N (+ 1 N))) (log (+ (pow 1 3) (pow N 3))) (log (* N (+ (* 1 1) (- (* N N) (* 1 N))))) (log (- (* 1 1) (* N N))) (log (* N (- 1 N))) (log (/ N (+ 1 N))) (log (/ N (+ 1 N))) (log (/ N (+ 1 N))) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (exp (log (/ (+ 1 N) N))) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (- (log (+ 1 N)) (log N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (/ (* (* (+ 1 N) (+ 1 N)) (+ 1 N)) (* (* N N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- (+ 1 N)) (- N) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (/ (+ 1 N) 1) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (* 1 1) (- (* N N) (* 1 N)))) (* N (- 1 N)) (real->posit16 (/ (+ 1 N) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 3.559 * * [simplify]: iteration 0: 120 enodes 3.612 * * [simplify]: iteration 1: 263 enodes 3.710 * * [simplify]: iteration 2: 606 enodes 3.995 * * [simplify]: iteration 3: 2327 enodes 4.662 * * [simplify]: iteration complete: 5014 enodes 4.662 * * [simplify]: Extracting #0: cost 77 inf + 0 4.664 * * [simplify]: Extracting #1: cost 529 inf + 2 4.673 * * [simplify]: Extracting #2: cost 1503 inf + 10258 4.697 * * [simplify]: Extracting #3: cost 1044 inf + 152276 4.756 * * [simplify]: Extracting #4: cost 263 inf + 288091 4.848 * * [simplify]: Extracting #5: cost 0 inf + 363564 4.945 * [simplify]: Simplified to: (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (* (/ (cbrt (+ 1 N)) (sqrt N)) (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (- (+ (log (cbrt N)) (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (- (+ (log (cbrt N)) (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log (+ 1 N)) (- (log N)) (log (+ 1 N)) (log N) (log (- -1 N)) (log (- N)) 0 (log (/ N (+ 1 N))) (log (/ (+ 1 N) (* (cbrt N) (cbrt N)))) (log (cbrt N)) (log (/ (+ 1 N) (sqrt N))) (log (sqrt N)) (log (+ 1 N)) (log N) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (/ N (cbrt (+ 1 N)))) (log (sqrt (+ 1 N))) (log (/ N (sqrt (+ 1 N)))) 0 (log (/ N (+ 1 N))) 0 (log (/ N (+ 1 N))) (log (+ 1 (* (* N N) N))) (log (+ N (* N (- (* N N) N)))) (log (- 1 (* N N))) (log (* (- 1 N) N)) (log (/ N (+ 1 N))) (log (/ N (+ 1 N))) (log (/ N (+ 1 N))) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 1 N) N) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (log (/ (+ 1 N) N)) (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- -1 N) (- N) (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (* (/ (cbrt (+ 1 N)) (sqrt N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (* (/ 1 (cbrt N)) (/ 1 (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (+ N (* N (- (* N N) N))) (* (- 1 N) N) (real->posit16 (/ (+ 1 N) N)) (- (- N (log N)) (* 1/2 (* N N))) (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 4.952 * * * [progress]: adding candidates to table 5.247 * * [progress]: iteration 3 / 4 5.247 * * * [progress]: picking best candidate 5.253 * * * * [pick]: Picked # 5.253 * * * [progress]: localizing error 5.268 * * * [progress]: generating rewritten candidates 5.268 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 5.287 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 5.300 * * * [progress]: generating series expansions 5.300 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 5.300 * [backup-simplify]: Simplify (log (/ N (+ 1 N))) into (log (/ N (+ N 1))) 5.301 * [approximate]: Taking taylor expansion of (log (/ N (+ N 1))) in (N) around 0 5.301 * [taylor]: Taking taylor expansion of (log (/ N (+ N 1))) in N 5.301 * [taylor]: Taking taylor expansion of (/ N (+ N 1)) in N 5.301 * [taylor]: Taking taylor expansion of N in N 5.301 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify 1 into 1 5.301 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.301 * [taylor]: Taking taylor expansion of N in N 5.301 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify 1 into 1 5.301 * [taylor]: Taking taylor expansion of 1 in N 5.301 * [backup-simplify]: Simplify 1 into 1 5.301 * [backup-simplify]: Simplify (+ 0 1) into 1 5.302 * [backup-simplify]: Simplify (/ 1 1) into 1 5.302 * [backup-simplify]: Simplify (log 1) into 0 5.302 * [taylor]: Taking taylor expansion of (log (/ N (+ N 1))) in N 5.302 * [taylor]: Taking taylor expansion of (/ N (+ N 1)) in N 5.302 * [taylor]: Taking taylor expansion of N in N 5.302 * [backup-simplify]: Simplify 0 into 0 5.302 * [backup-simplify]: Simplify 1 into 1 5.302 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.302 * [taylor]: Taking taylor expansion of N in N 5.302 * [backup-simplify]: Simplify 0 into 0 5.302 * [backup-simplify]: Simplify 1 into 1 5.302 * [taylor]: Taking taylor expansion of 1 in N 5.302 * [backup-simplify]: Simplify 1 into 1 5.302 * [backup-simplify]: Simplify (+ 0 1) into 1 5.303 * [backup-simplify]: Simplify (/ 1 1) into 1 5.303 * [backup-simplify]: Simplify (log 1) into 0 5.303 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.303 * [backup-simplify]: Simplify (log N) into (log N) 5.304 * [backup-simplify]: Simplify (+ 1 0) into 1 5.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 5.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 5.305 * [backup-simplify]: Simplify -1 into -1 5.305 * [backup-simplify]: Simplify (+ 0 0) into 0 5.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 5.307 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 5.307 * [backup-simplify]: Simplify 1/2 into 1/2 5.308 * [backup-simplify]: Simplify (+ (* 1/2 (pow N 2)) (+ (* -1 N) (log N))) into (- (+ (log N) (* 1/2 (pow N 2))) N) 5.308 * [backup-simplify]: Simplify (log (/ (/ 1 N) (+ 1 (/ 1 N)))) into (log (/ 1 (* N (+ (/ 1 N) 1)))) 5.308 * [approximate]: Taking taylor expansion of (log (/ 1 (* N (+ (/ 1 N) 1)))) in (N) around 0 5.308 * [taylor]: Taking taylor expansion of (log (/ 1 (* N (+ (/ 1 N) 1)))) in N 5.308 * [taylor]: Taking taylor expansion of (/ 1 (* N (+ (/ 1 N) 1))) in N 5.308 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.308 * [taylor]: Taking taylor expansion of N in N 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify 1 into 1 5.308 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.308 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.308 * [taylor]: Taking taylor expansion of N in N 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify 1 into 1 5.308 * [backup-simplify]: Simplify (/ 1 1) into 1 5.308 * [taylor]: Taking taylor expansion of 1 in N 5.308 * [backup-simplify]: Simplify 1 into 1 5.309 * [backup-simplify]: Simplify (+ 1 0) into 1 5.309 * [backup-simplify]: Simplify (* 0 1) into 0 5.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.310 * [backup-simplify]: Simplify (+ 0 1) into 1 5.310 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.310 * [backup-simplify]: Simplify (/ 1 1) into 1 5.310 * [backup-simplify]: Simplify (log 1) into 0 5.311 * [taylor]: Taking taylor expansion of (log (/ 1 (* N (+ (/ 1 N) 1)))) in N 5.311 * [taylor]: Taking taylor expansion of (/ 1 (* N (+ (/ 1 N) 1))) in N 5.311 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.311 * [taylor]: Taking taylor expansion of N in N 5.311 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify 1 into 1 5.311 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.311 * [taylor]: Taking taylor expansion of N in N 5.311 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify 1 into 1 5.311 * [backup-simplify]: Simplify (/ 1 1) into 1 5.311 * [taylor]: Taking taylor expansion of 1 in N 5.311 * [backup-simplify]: Simplify 1 into 1 5.311 * [backup-simplify]: Simplify (+ 1 0) into 1 5.312 * [backup-simplify]: Simplify (* 0 1) into 0 5.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.312 * [backup-simplify]: Simplify (+ 0 1) into 1 5.313 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.313 * [backup-simplify]: Simplify (/ 1 1) into 1 5.313 * [backup-simplify]: Simplify (log 1) into 0 5.313 * [backup-simplify]: Simplify 0 into 0 5.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.314 * [backup-simplify]: Simplify (+ 0 0) into 0 5.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 5.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 5.316 * [backup-simplify]: Simplify -1 into -1 5.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.318 * [backup-simplify]: Simplify (+ 0 0) into 0 5.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 5.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 5.323 * [backup-simplify]: Simplify 1/2 into 1/2 5.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.325 * [backup-simplify]: Simplify (+ 0 0) into 0 5.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 5.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)) (* 1 (/ 1 1)))) into -1 5.334 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1) 1)) (pow 1 1)))) 6) into -1/3 5.334 * [backup-simplify]: Simplify -1/3 into -1/3 5.335 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 N) 3)) (+ (* 1/2 (pow (/ 1 N) 2)) (* -1 (/ 1 N)))) into (- (* 1/2 (/ 1 (pow N 2))) (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))) 5.336 * [backup-simplify]: Simplify (log (/ (/ 1 (- N)) (+ 1 (/ 1 (- N))))) into (log (/ -1 (* N (- 1 (/ 1 N))))) 5.336 * [approximate]: Taking taylor expansion of (log (/ -1 (* N (- 1 (/ 1 N))))) in (N) around 0 5.336 * [taylor]: Taking taylor expansion of (log (/ -1 (* N (- 1 (/ 1 N))))) in N 5.336 * [taylor]: Taking taylor expansion of (/ -1 (* N (- 1 (/ 1 N)))) in N 5.336 * [taylor]: Taking taylor expansion of -1 in N 5.336 * [backup-simplify]: Simplify -1 into -1 5.336 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.336 * [taylor]: Taking taylor expansion of N in N 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify 1 into 1 5.336 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.336 * [taylor]: Taking taylor expansion of 1 in N 5.336 * [backup-simplify]: Simplify 1 into 1 5.336 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.336 * [taylor]: Taking taylor expansion of N in N 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify 1 into 1 5.337 * [backup-simplify]: Simplify (/ 1 1) into 1 5.337 * [backup-simplify]: Simplify (- 1) into -1 5.338 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.338 * [backup-simplify]: Simplify (* 0 -1) into 0 5.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.340 * [backup-simplify]: Simplify (- 0) into 0 5.340 * [backup-simplify]: Simplify (+ 1 0) into 1 5.341 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.341 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.342 * [backup-simplify]: Simplify (log 1) into 0 5.342 * [taylor]: Taking taylor expansion of (log (/ -1 (* N (- 1 (/ 1 N))))) in N 5.342 * [taylor]: Taking taylor expansion of (/ -1 (* N (- 1 (/ 1 N)))) in N 5.342 * [taylor]: Taking taylor expansion of -1 in N 5.342 * [backup-simplify]: Simplify -1 into -1 5.342 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.342 * [taylor]: Taking taylor expansion of N in N 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.342 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.342 * [taylor]: Taking taylor expansion of 1 in N 5.342 * [backup-simplify]: Simplify 1 into 1 5.342 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.342 * [taylor]: Taking taylor expansion of N in N 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.343 * [backup-simplify]: Simplify (/ 1 1) into 1 5.343 * [backup-simplify]: Simplify (- 1) into -1 5.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.344 * [backup-simplify]: Simplify (* 0 -1) into 0 5.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.346 * [backup-simplify]: Simplify (- 0) into 0 5.346 * [backup-simplify]: Simplify (+ 1 0) into 1 5.347 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.347 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.348 * [backup-simplify]: Simplify (log 1) into 0 5.348 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.349 * [backup-simplify]: Simplify (- 0) into 0 5.350 * [backup-simplify]: Simplify (+ 0 0) into 0 5.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.352 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 5.353 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.354 * [backup-simplify]: Simplify 1 into 1 5.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.355 * [backup-simplify]: Simplify (- 0) into 0 5.356 * [backup-simplify]: Simplify (+ 0 0) into 0 5.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.360 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 5.363 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 5.363 * [backup-simplify]: Simplify 1/2 into 1/2 5.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.365 * [backup-simplify]: Simplify (- 0) into 0 5.365 * [backup-simplify]: Simplify (+ 0 0) into 0 5.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.368 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 5.374 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1) 1)) (pow 1 1)))) 6) into 1/3 5.374 * [backup-simplify]: Simplify 1/3 into 1/3 5.375 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 (- N)) 3)) (+ (* 1/2 (pow (/ 1 (- N)) 2)) (* 1 (/ 1 (- N))))) into (- (* 1/2 (/ 1 (pow N 2))) (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))) 5.375 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 5.375 * [backup-simplify]: Simplify (/ N (+ 1 N)) into (/ N (+ N 1)) 5.375 * [approximate]: Taking taylor expansion of (/ N (+ N 1)) in (N) around 0 5.375 * [taylor]: Taking taylor expansion of (/ N (+ N 1)) in N 5.375 * [taylor]: Taking taylor expansion of N in N 5.375 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify 1 into 1 5.375 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.375 * [taylor]: Taking taylor expansion of N in N 5.375 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify 1 into 1 5.375 * [taylor]: Taking taylor expansion of 1 in N 5.375 * [backup-simplify]: Simplify 1 into 1 5.376 * [backup-simplify]: Simplify (+ 0 1) into 1 5.376 * [backup-simplify]: Simplify (/ 1 1) into 1 5.376 * [taylor]: Taking taylor expansion of (/ N (+ N 1)) in N 5.376 * [taylor]: Taking taylor expansion of N in N 5.376 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify 1 into 1 5.376 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.376 * [taylor]: Taking taylor expansion of N in N 5.377 * [backup-simplify]: Simplify 0 into 0 5.377 * [backup-simplify]: Simplify 1 into 1 5.377 * [taylor]: Taking taylor expansion of 1 in N 5.377 * [backup-simplify]: Simplify 1 into 1 5.377 * [backup-simplify]: Simplify (+ 0 1) into 1 5.377 * [backup-simplify]: Simplify (/ 1 1) into 1 5.377 * [backup-simplify]: Simplify 1 into 1 5.378 * [backup-simplify]: Simplify (+ 1 0) into 1 5.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 5.379 * [backup-simplify]: Simplify -1 into -1 5.379 * [backup-simplify]: Simplify (+ 0 0) into 0 5.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 5.380 * [backup-simplify]: Simplify 1 into 1 5.381 * [backup-simplify]: Simplify (+ (* 1 (pow N 3)) (+ (* -1 (pow N 2)) (* 1 N))) into (- (+ N (pow N 3)) (pow N 2)) 5.381 * [backup-simplify]: Simplify (/ (/ 1 N) (+ 1 (/ 1 N))) into (/ 1 (* N (+ (/ 1 N) 1))) 5.381 * [approximate]: Taking taylor expansion of (/ 1 (* N (+ (/ 1 N) 1))) in (N) around 0 5.381 * [taylor]: Taking taylor expansion of (/ 1 (* N (+ (/ 1 N) 1))) in N 5.381 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.381 * [taylor]: Taking taylor expansion of N in N 5.381 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify 1 into 1 5.381 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.381 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.381 * [taylor]: Taking taylor expansion of N in N 5.381 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify 1 into 1 5.381 * [backup-simplify]: Simplify (/ 1 1) into 1 5.382 * [taylor]: Taking taylor expansion of 1 in N 5.382 * [backup-simplify]: Simplify 1 into 1 5.382 * [backup-simplify]: Simplify (+ 1 0) into 1 5.382 * [backup-simplify]: Simplify (* 0 1) into 0 5.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.384 * [backup-simplify]: Simplify (+ 0 1) into 1 5.384 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.385 * [backup-simplify]: Simplify (/ 1 1) into 1 5.385 * [taylor]: Taking taylor expansion of (/ 1 (* N (+ (/ 1 N) 1))) in N 5.385 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.385 * [taylor]: Taking taylor expansion of N in N 5.385 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify 1 into 1 5.385 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.385 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.385 * [taylor]: Taking taylor expansion of N in N 5.385 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify 1 into 1 5.386 * [backup-simplify]: Simplify (/ 1 1) into 1 5.386 * [taylor]: Taking taylor expansion of 1 in N 5.386 * [backup-simplify]: Simplify 1 into 1 5.386 * [backup-simplify]: Simplify (+ 1 0) into 1 5.387 * [backup-simplify]: Simplify (* 0 1) into 0 5.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.391 * [backup-simplify]: Simplify (+ 0 1) into 1 5.392 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.392 * [backup-simplify]: Simplify (/ 1 1) into 1 5.392 * [backup-simplify]: Simplify 1 into 1 5.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.393 * [backup-simplify]: Simplify (+ 0 0) into 0 5.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 5.395 * [backup-simplify]: Simplify -1 into -1 5.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.396 * [backup-simplify]: Simplify (+ 0 0) into 0 5.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 5.399 * [backup-simplify]: Simplify 1 into 1 5.399 * [backup-simplify]: Simplify (+ (* 1 (pow (/ 1 N) 2)) (+ (* -1 (/ 1 N)) 1)) into (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 5.399 * [backup-simplify]: Simplify (/ (/ 1 (- N)) (+ 1 (/ 1 (- N)))) into (/ -1 (* N (- 1 (/ 1 N)))) 5.399 * [approximate]: Taking taylor expansion of (/ -1 (* N (- 1 (/ 1 N)))) in (N) around 0 5.399 * [taylor]: Taking taylor expansion of (/ -1 (* N (- 1 (/ 1 N)))) in N 5.399 * [taylor]: Taking taylor expansion of -1 in N 5.399 * [backup-simplify]: Simplify -1 into -1 5.400 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.400 * [taylor]: Taking taylor expansion of N in N 5.400 * [backup-simplify]: Simplify 0 into 0 5.400 * [backup-simplify]: Simplify 1 into 1 5.400 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.400 * [taylor]: Taking taylor expansion of 1 in N 5.400 * [backup-simplify]: Simplify 1 into 1 5.400 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.400 * [taylor]: Taking taylor expansion of N in N 5.400 * [backup-simplify]: Simplify 0 into 0 5.400 * [backup-simplify]: Simplify 1 into 1 5.400 * [backup-simplify]: Simplify (/ 1 1) into 1 5.401 * [backup-simplify]: Simplify (- 1) into -1 5.401 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.401 * [backup-simplify]: Simplify (* 0 -1) into 0 5.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.403 * [backup-simplify]: Simplify (- 0) into 0 5.403 * [backup-simplify]: Simplify (+ 1 0) into 1 5.403 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.404 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.404 * [taylor]: Taking taylor expansion of (/ -1 (* N (- 1 (/ 1 N)))) in N 5.404 * [taylor]: Taking taylor expansion of -1 in N 5.404 * [backup-simplify]: Simplify -1 into -1 5.404 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.404 * [taylor]: Taking taylor expansion of N in N 5.404 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify 1 into 1 5.404 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.404 * [taylor]: Taking taylor expansion of 1 in N 5.404 * [backup-simplify]: Simplify 1 into 1 5.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.404 * [taylor]: Taking taylor expansion of N in N 5.404 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify 1 into 1 5.404 * [backup-simplify]: Simplify (/ 1 1) into 1 5.404 * [backup-simplify]: Simplify (- 1) into -1 5.405 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.405 * [backup-simplify]: Simplify (* 0 -1) into 0 5.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.406 * [backup-simplify]: Simplify (- 0) into 0 5.406 * [backup-simplify]: Simplify (+ 1 0) into 1 5.406 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.407 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.407 * [backup-simplify]: Simplify 1 into 1 5.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.407 * [backup-simplify]: Simplify (- 0) into 0 5.408 * [backup-simplify]: Simplify (+ 0 0) into 0 5.408 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.409 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 5.409 * [backup-simplify]: Simplify 1 into 1 5.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.410 * [backup-simplify]: Simplify (- 0) into 0 5.410 * [backup-simplify]: Simplify (+ 0 0) into 0 5.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.411 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 5.411 * [backup-simplify]: Simplify 1 into 1 5.411 * [backup-simplify]: Simplify (+ (* 1 (pow (/ 1 (- N)) 2)) (+ (* 1 (/ 1 (- N))) 1)) into (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 5.412 * * * [progress]: simplifying candidates 5.412 * * * * [progress]: [ 1 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 2 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 3 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 4 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 5 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 6 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 7 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 8 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 9 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 10 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 11 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 12 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 13 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 14 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 15 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 16 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 17 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 18 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 19 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 20 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 21 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 22 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 23 / 81 ] simplifiying candidate # 5.412 * * * * [progress]: [ 24 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 25 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 26 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 27 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 28 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 29 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 30 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 31 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 32 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 33 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 34 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 35 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 36 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 37 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 38 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 39 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 40 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 41 / 81 ] simplifiying candidate #real (real->posit16 (log (/ N (+ 1 N)))))))> 5.413 * * * * [progress]: [ 42 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 43 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 44 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 45 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 46 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 47 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 48 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 49 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 50 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 51 / 81 ] simplifiying candidate # 5.413 * * * * [progress]: [ 52 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 53 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 54 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 55 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 56 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 57 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 58 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 59 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 60 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 61 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 62 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 63 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 64 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 65 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 66 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 67 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 68 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 69 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 70 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 71 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 72 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 73 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 74 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 75 / 81 ] simplifiying candidate #real (real->posit16 (/ N (+ 1 N)))))))> 5.414 * * * * [progress]: [ 76 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 77 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 78 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 79 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 80 / 81 ] simplifiying candidate # 5.414 * * * * [progress]: [ 81 / 81 ] simplifiying candidate # 5.415 * [simplify]: Simplifying: (log (* (cbrt (/ N (+ 1 N))) (cbrt (/ N (+ 1 N))))) (log (cbrt (/ N (+ 1 N)))) (log (sqrt (/ N (+ 1 N)))) (log (sqrt (/ N (+ 1 N)))) (log (/ (* (cbrt N) (cbrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (log (/ (cbrt N) (cbrt (+ 1 N)))) (log (/ (* (cbrt N) (cbrt N)) (sqrt (+ 1 N)))) (log (/ (cbrt N) (sqrt (+ 1 N)))) (log (/ (* (cbrt N) (cbrt N)) 1)) (log (/ (cbrt N) (+ 1 N))) (log (/ (* (cbrt N) (cbrt N)) 1)) (log (/ (cbrt N) (+ 1 N))) (log (/ (sqrt N) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (log (/ (sqrt N) (cbrt (+ 1 N)))) (log (/ (sqrt N) (sqrt (+ 1 N)))) (log (/ (sqrt N) (sqrt (+ 1 N)))) (log (/ (sqrt N) 1)) (log (/ (sqrt N) (+ 1 N))) (log (/ (sqrt N) 1)) (log (/ (sqrt N) (+ 1 N))) (log (/ 1 (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (log (/ N (cbrt (+ 1 N)))) (log (/ 1 (sqrt (+ 1 N)))) (log (/ N (sqrt (+ 1 N)))) (log (/ 1 1)) (log (/ N (+ 1 N))) (log (/ 1 1)) (log (/ N (+ 1 N))) (log 1) (log (/ N (+ 1 N))) (log N) (log (/ 1 (+ 1 N))) (log (/ N (+ (pow 1 3) (pow N 3)))) (log (+ (* 1 1) (- (* N N) (* 1 N)))) (log (/ N (- (* 1 1) (* N N)))) (log (- 1 N)) (log N) (log (+ 1 N)) (log (- N)) (log (- (+ 1 N))) (log 1) (log (/ (+ 1 N) N)) (log (/ N (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (log (cbrt (+ 1 N))) (log (/ N (sqrt (+ 1 N)))) (log (sqrt (+ 1 N))) (log (/ N 1)) (log (+ 1 N)) (log (/ N 1)) (log (+ 1 N)) (log (* (cbrt N) (cbrt N))) (log (/ (+ 1 N) (cbrt N))) (log (sqrt N)) (log (/ (+ 1 N) (sqrt N))) (log 1) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (log (/ N (+ 1 N))) (log (log (/ N (+ 1 N)))) (exp (log (/ N (+ 1 N)))) (* (cbrt (log (/ N (+ 1 N)))) (cbrt (log (/ N (+ 1 N))))) (cbrt (log (/ N (+ 1 N)))) (* (* (log (/ N (+ 1 N))) (log (/ N (+ 1 N)))) (log (/ N (+ 1 N)))) (sqrt (log (/ N (+ 1 N)))) (sqrt (log (/ N (+ 1 N)))) (real->posit16 (log (/ N (+ 1 N)))) (- (log N) (log (+ 1 N))) (log (/ N (+ 1 N))) (exp (/ N (+ 1 N))) (/ (* (* N N) N) (* (* (+ 1 N) (+ 1 N)) (+ 1 N))) (* (cbrt (/ N (+ 1 N))) (cbrt (/ N (+ 1 N)))) (cbrt (/ N (+ 1 N))) (* (* (/ N (+ 1 N)) (/ N (+ 1 N))) (/ N (+ 1 N))) (sqrt (/ N (+ 1 N))) (sqrt (/ N (+ 1 N))) (- N) (- (+ 1 N)) (/ (* (cbrt N) (cbrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (/ (cbrt N) (cbrt (+ 1 N))) (/ (* (cbrt N) (cbrt N)) (sqrt (+ 1 N))) (/ (cbrt N) (sqrt (+ 1 N))) (/ (* (cbrt N) (cbrt N)) 1) (/ (cbrt N) (+ 1 N)) (/ (* (cbrt N) (cbrt N)) 1) (/ (cbrt N) (+ 1 N)) (/ (sqrt N) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (/ (sqrt N) (cbrt (+ 1 N))) (/ (sqrt N) (sqrt (+ 1 N))) (/ (sqrt N) (sqrt (+ 1 N))) (/ (sqrt N) 1) (/ (sqrt N) (+ 1 N)) (/ (sqrt N) 1) (/ (sqrt N) (+ 1 N)) (/ 1 (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (/ N (cbrt (+ 1 N))) (/ 1 (sqrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ 1 1) (/ N (+ 1 N)) (/ 1 1) (/ N (+ 1 N)) (/ 1 (+ 1 N)) (/ (+ 1 N) N) (/ N (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (/ N 1) (/ N 1) (/ (+ 1 N) (cbrt N)) (/ (+ 1 N) (sqrt N)) (/ (+ 1 N) N) (/ N (+ (pow 1 3) (pow N 3))) (/ N (- (* 1 1) (* N N))) (real->posit16 (/ N (+ 1 N))) (- (+ (log N) (* 1/2 (pow N 2))) N) (- (* 1/2 (/ 1 (pow N 2))) (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))) (- (* 1/2 (/ 1 (pow N 2))) (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))) (- (+ N (pow N 3)) (pow N 2)) (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 5.416 * * [simplify]: iteration 0: 124 enodes 5.445 * * [simplify]: iteration 1: 263 enodes 5.564 * * [simplify]: iteration 2: 622 enodes 5.941 * * [simplify]: iteration 3: 2531 enodes 6.550 * * [simplify]: iteration complete: 5004 enodes 6.550 * * [simplify]: Extracting #0: cost 78 inf + 0 6.552 * * [simplify]: Extracting #1: cost 534 inf + 3 6.561 * * [simplify]: Extracting #2: cost 1481 inf + 6711 6.597 * * [simplify]: Extracting #3: cost 1210 inf + 104350 6.638 * * [simplify]: Extracting #4: cost 927 inf + 214642 6.697 * * [simplify]: Extracting #5: cost 823 inf + 244417 6.791 * * [simplify]: Extracting #6: cost 156 inf + 432522 6.883 * * [simplify]: Extracting #7: cost 0 inf + 476950 6.956 * [simplify]: Simplified to: (log (* (cbrt (/ N (+ 1 N))) (cbrt (/ N (+ 1 N))))) (log (cbrt (/ N (+ 1 N)))) (log (sqrt (/ N (+ 1 N)))) (log (sqrt (/ N (+ 1 N)))) (+ (log (/ (cbrt N) (cbrt (+ 1 N)))) (log (/ (cbrt N) (cbrt (+ 1 N))))) (log (/ (cbrt N) (cbrt (+ 1 N)))) (log (/ (* (cbrt N) (cbrt N)) (sqrt (+ 1 N)))) (log (/ (cbrt N) (sqrt (+ 1 N)))) (+ (log (cbrt N)) (log (cbrt N))) (log (/ (cbrt N) (+ 1 N))) (+ (log (cbrt N)) (log (cbrt N))) (log (/ (cbrt N) (+ 1 N))) (log (/ (/ (sqrt N) (cbrt (+ 1 N))) (cbrt (+ 1 N)))) (log (/ (sqrt N) (cbrt (+ 1 N)))) (log (/ (sqrt N) (sqrt (+ 1 N)))) (log (/ (sqrt N) (sqrt (+ 1 N)))) (log (sqrt N)) (log (/ (sqrt N) (+ 1 N))) (log (sqrt N)) (log (/ (sqrt N) (+ 1 N))) (- (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N))))) (log (/ N (cbrt (+ 1 N)))) (- (log (sqrt (+ 1 N)))) (log (/ N (sqrt (+ 1 N)))) 0 (log (/ N (+ 1 N))) 0 (log (/ N (+ 1 N))) 0 (log (/ N (+ 1 N))) (log N) (- (log (+ 1 N))) (log (/ N (+ (* (* N N) N) 1))) (log (- (* N N) (+ N -1))) (log (/ N (- 1 (* N N)))) (log (- 1 N)) (log N) (log (+ 1 N)) (log (- N)) (log (- -1 N)) 0 (log (/ (+ 1 N) N)) (log (/ (/ N (cbrt (+ 1 N))) (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (/ N (sqrt (+ 1 N)))) (log (sqrt (+ 1 N))) (log N) (log (+ 1 N)) (log N) (log (+ 1 N)) (+ (log (cbrt N)) (log (cbrt N))) (log (/ (+ 1 N) (cbrt N))) (log (sqrt N)) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (log (/ N (+ 1 N))) (log (log (/ N (+ 1 N)))) (/ N (+ 1 N)) (* (cbrt (log (/ N (+ 1 N)))) (cbrt (log (/ N (+ 1 N))))) (cbrt (log (/ N (+ 1 N)))) (* (log (/ N (+ 1 N))) (* (log (/ N (+ 1 N))) (log (/ N (+ 1 N))))) (sqrt (log (/ N (+ 1 N)))) (sqrt (log (/ N (+ 1 N)))) (real->posit16 (log (/ N (+ 1 N)))) (log (/ N (+ 1 N))) (log (/ N (+ 1 N))) (exp (/ N (+ 1 N))) (* (/ N (+ 1 N)) (* (/ N (+ 1 N)) (/ N (+ 1 N)))) (* (cbrt (/ N (+ 1 N))) (cbrt (/ N (+ 1 N)))) (cbrt (/ N (+ 1 N))) (* (/ N (+ 1 N)) (* (/ N (+ 1 N)) (/ N (+ 1 N)))) (sqrt (/ N (+ 1 N))) (sqrt (/ N (+ 1 N))) (- N) (- -1 N) (* (/ (cbrt N) (cbrt (+ 1 N))) (/ (cbrt N) (cbrt (+ 1 N)))) (/ (cbrt N) (cbrt (+ 1 N))) (/ (* (cbrt N) (cbrt N)) (sqrt (+ 1 N))) (/ (cbrt N) (sqrt (+ 1 N))) (* (cbrt N) (cbrt N)) (/ (cbrt N) (+ 1 N)) (* (cbrt N) (cbrt N)) (/ (cbrt N) (+ 1 N)) (/ (/ (sqrt N) (cbrt (+ 1 N))) (cbrt (+ 1 N))) (/ (sqrt N) (cbrt (+ 1 N))) (/ (sqrt N) (sqrt (+ 1 N))) (/ (sqrt N) (sqrt (+ 1 N))) (sqrt N) (/ (sqrt N) (+ 1 N)) (sqrt N) (/ (sqrt N) (+ 1 N)) (/ (/ 1 (cbrt (+ 1 N))) (cbrt (+ 1 N))) (/ N (cbrt (+ 1 N))) (/ 1 (sqrt (+ 1 N))) (/ N (sqrt (+ 1 N))) 1 (/ N (+ 1 N)) 1 (/ N (+ 1 N)) (/ 1 (+ 1 N)) (/ (+ 1 N) N) (/ (/ N (cbrt (+ 1 N))) (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) N N (/ (+ 1 N) (cbrt N)) (/ (+ 1 N) (sqrt N)) (/ (+ 1 N) N) (/ N (+ (* (* N N) N) 1)) (/ N (- 1 (* N N))) (real->posit16 (/ N (+ 1 N))) (+ (- (log N) N) (* (* N N) 1/2)) (+ (/ -1/3 (* (* N N) N)) (+ (/ -1 N) (/ 1/2 (* N N)))) (+ (/ -1/3 (* (* N N) N)) (+ (/ -1 N) (/ 1/2 (* N N)))) (+ (- N (* N N)) (* (* N N) N)) (+ 1 (- (/ 1 (* N N)) (/ 1 N))) (+ 1 (- (/ 1 (* N N)) (/ 1 N))) 6.965 * * * [progress]: adding candidates to table 7.301 * * [progress]: iteration 4 / 4 7.301 * * * [progress]: picking best candidate 7.307 * * * * [pick]: Picked # 7.307 * * * [progress]: localizing error 7.332 * * * [progress]: generating rewritten candidates 7.332 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 7.360 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 7.390 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 7.412 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 7.441 * * * [progress]: generating series expansions 7.441 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 7.442 * [backup-simplify]: Simplify (log (sqrt (/ N (+ 1 N)))) into (log (sqrt (/ N (+ N 1)))) 7.442 * [approximate]: Taking taylor expansion of (log (sqrt (/ N (+ N 1)))) in (N) around 0 7.442 * [taylor]: Taking taylor expansion of (log (sqrt (/ N (+ N 1)))) in N 7.442 * [taylor]: Taking taylor expansion of (sqrt (/ N (+ N 1))) in N 7.442 * [taylor]: Taking taylor expansion of (/ N (+ N 1)) in N 7.442 * [taylor]: Taking taylor expansion of N in N 7.442 * [backup-simplify]: Simplify 0 into 0 7.442 * [backup-simplify]: Simplify 1 into 1 7.442 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.442 * [taylor]: Taking taylor expansion of N in N 7.442 * [backup-simplify]: Simplify 0 into 0 7.442 * [backup-simplify]: Simplify 1 into 1 7.442 * [taylor]: Taking taylor expansion of 1 in N 7.442 * [backup-simplify]: Simplify 1 into 1 7.443 * [backup-simplify]: Simplify (+ 0 1) into 1 7.443 * [backup-simplify]: Simplify (/ 1 1) into 1 7.444 * [backup-simplify]: Simplify (sqrt 0) into 0 7.445 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.446 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.446 * [taylor]: Taking taylor expansion of (log (sqrt (/ N (+ N 1)))) in N 7.446 * [taylor]: Taking taylor expansion of (sqrt (/ N (+ N 1))) in N 7.446 * [taylor]: Taking taylor expansion of (/ N (+ N 1)) in N 7.446 * [taylor]: Taking taylor expansion of N in N 7.446 * [backup-simplify]: Simplify 0 into 0 7.446 * [backup-simplify]: Simplify 1 into 1 7.446 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.446 * [taylor]: Taking taylor expansion of N in N 7.446 * [backup-simplify]: Simplify 0 into 0 7.446 * [backup-simplify]: Simplify 1 into 1 7.446 * [taylor]: Taking taylor expansion of 1 in N 7.446 * [backup-simplify]: Simplify 1 into 1 7.447 * [backup-simplify]: Simplify (+ 0 1) into 1 7.447 * [backup-simplify]: Simplify (/ 1 1) into 1 7.447 * [backup-simplify]: Simplify (sqrt 0) into 0 7.449 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.449 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.450 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 7.454 * [backup-simplify]: Simplify (+ (log N) (log +nan.0)) into (+ (log N) (log +nan.0)) 7.455 * [backup-simplify]: Simplify (+ 1 0) into 1 7.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 7.459 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.466 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.466 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.466 * [backup-simplify]: Simplify (+ 0 0) into 0 7.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 7.472 * [backup-simplify]: Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.488 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 7.488 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.489 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (+ (log N) (log +nan.0)))) into (- (+ (log N) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 7.489 * [backup-simplify]: Simplify (log (sqrt (/ (/ 1 N) (+ 1 (/ 1 N))))) into (log (sqrt (/ 1 (* N (+ (/ 1 N) 1))))) 7.489 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 (* N (+ (/ 1 N) 1))))) in (N) around 0 7.489 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (* N (+ (/ 1 N) 1))))) in N 7.489 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* N (+ (/ 1 N) 1)))) in N 7.489 * [taylor]: Taking taylor expansion of (/ 1 (* N (+ (/ 1 N) 1))) in N 7.489 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.489 * [taylor]: Taking taylor expansion of N in N 7.489 * [backup-simplify]: Simplify 0 into 0 7.489 * [backup-simplify]: Simplify 1 into 1 7.489 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.489 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.489 * [taylor]: Taking taylor expansion of N in N 7.489 * [backup-simplify]: Simplify 0 into 0 7.489 * [backup-simplify]: Simplify 1 into 1 7.490 * [backup-simplify]: Simplify (/ 1 1) into 1 7.490 * [taylor]: Taking taylor expansion of 1 in N 7.490 * [backup-simplify]: Simplify 1 into 1 7.491 * [backup-simplify]: Simplify (+ 1 0) into 1 7.491 * [backup-simplify]: Simplify (* 0 1) into 0 7.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.492 * [backup-simplify]: Simplify (+ 0 1) into 1 7.492 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.492 * [backup-simplify]: Simplify (/ 1 1) into 1 7.493 * [backup-simplify]: Simplify (sqrt 1) into 1 7.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.493 * [backup-simplify]: Simplify (+ 0 0) into 0 7.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 7.496 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 7.496 * [backup-simplify]: Simplify (log 1) into 0 7.496 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (* N (+ (/ 1 N) 1))))) in N 7.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* N (+ (/ 1 N) 1)))) in N 7.496 * [taylor]: Taking taylor expansion of (/ 1 (* N (+ (/ 1 N) 1))) in N 7.496 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.496 * [taylor]: Taking taylor expansion of N in N 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify 1 into 1 7.496 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.496 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.496 * [taylor]: Taking taylor expansion of N in N 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify 1 into 1 7.496 * [backup-simplify]: Simplify (/ 1 1) into 1 7.496 * [taylor]: Taking taylor expansion of 1 in N 7.496 * [backup-simplify]: Simplify 1 into 1 7.497 * [backup-simplify]: Simplify (+ 1 0) into 1 7.497 * [backup-simplify]: Simplify (* 0 1) into 0 7.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.498 * [backup-simplify]: Simplify (+ 0 1) into 1 7.498 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.499 * [backup-simplify]: Simplify (/ 1 1) into 1 7.499 * [backup-simplify]: Simplify (sqrt 1) into 1 7.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.500 * [backup-simplify]: Simplify (+ 0 0) into 0 7.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 7.501 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 7.502 * [backup-simplify]: Simplify (log 1) into 0 7.502 * [backup-simplify]: Simplify 0 into 0 7.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 7.503 * [backup-simplify]: Simplify -1/2 into -1/2 7.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.503 * [backup-simplify]: Simplify (+ 0 0) into 0 7.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 7.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 7.505 * [backup-simplify]: Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8 7.507 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3/8) 1)) (pow 1 1)))) 2) into 1/4 7.507 * [backup-simplify]: Simplify 1/4 into 1/4 7.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.508 * [backup-simplify]: Simplify (+ 0 0) into 0 7.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 7.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)) (* 1 (/ 1 1)))) into -1 7.510 * [backup-simplify]: Simplify (/ (- -1 (+ (* 2 (* -1/2 3/8)))) (* 2 1)) into -5/16 7.513 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 3/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -5/16) 1)) (pow 1 1)))) 6) into -1/6 7.513 * [backup-simplify]: Simplify -1/6 into -1/6 7.513 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 N) 3)) (+ (* 1/4 (pow (/ 1 N) 2)) (* -1/2 (/ 1 N)))) into (- (* 1/4 (/ 1 (pow N 2))) (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N)))) 7.514 * [backup-simplify]: Simplify (log (sqrt (/ (/ 1 (- N)) (+ 1 (/ 1 (- N)))))) into (log (sqrt (/ -1 (* N (- 1 (/ 1 N)))))) 7.514 * [approximate]: Taking taylor expansion of (log (sqrt (/ -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 7.514 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 (* N (- 1 (/ 1 N)))))) in N 7.514 * [taylor]: Taking taylor expansion of (sqrt (/ -1 (* N (- 1 (/ 1 N))))) in N 7.514 * [taylor]: Taking taylor expansion of (/ -1 (* N (- 1 (/ 1 N)))) in N 7.514 * [taylor]: Taking taylor expansion of -1 in N 7.514 * [backup-simplify]: Simplify -1 into -1 7.514 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.514 * [taylor]: Taking taylor expansion of N in N 7.514 * [backup-simplify]: Simplify 0 into 0 7.514 * [backup-simplify]: Simplify 1 into 1 7.514 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.514 * [taylor]: Taking taylor expansion of 1 in N 7.514 * [backup-simplify]: Simplify 1 into 1 7.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.514 * [taylor]: Taking taylor expansion of N in N 7.514 * [backup-simplify]: Simplify 0 into 0 7.514 * [backup-simplify]: Simplify 1 into 1 7.514 * [backup-simplify]: Simplify (/ 1 1) into 1 7.514 * [backup-simplify]: Simplify (- 1) into -1 7.515 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.515 * [backup-simplify]: Simplify (* 0 -1) into 0 7.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.516 * [backup-simplify]: Simplify (- 0) into 0 7.516 * [backup-simplify]: Simplify (+ 1 0) into 1 7.516 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.517 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.517 * [backup-simplify]: Simplify (sqrt 1) into 1 7.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.518 * [backup-simplify]: Simplify (- 0) into 0 7.518 * [backup-simplify]: Simplify (+ 0 0) into 0 7.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 7.519 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 7.520 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.520 * [backup-simplify]: Simplify (log 1) into 0 7.520 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 (* N (- 1 (/ 1 N)))))) in N 7.520 * [taylor]: Taking taylor expansion of (sqrt (/ -1 (* N (- 1 (/ 1 N))))) in N 7.520 * [taylor]: Taking taylor expansion of (/ -1 (* N (- 1 (/ 1 N)))) in N 7.520 * [taylor]: Taking taylor expansion of -1 in N 7.520 * [backup-simplify]: Simplify -1 into -1 7.521 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.521 * [taylor]: Taking taylor expansion of N in N 7.521 * [backup-simplify]: Simplify 0 into 0 7.521 * [backup-simplify]: Simplify 1 into 1 7.521 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.521 * [taylor]: Taking taylor expansion of 1 in N 7.521 * [backup-simplify]: Simplify 1 into 1 7.521 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.521 * [taylor]: Taking taylor expansion of N in N 7.521 * [backup-simplify]: Simplify 0 into 0 7.521 * [backup-simplify]: Simplify 1 into 1 7.521 * [backup-simplify]: Simplify (/ 1 1) into 1 7.522 * [backup-simplify]: Simplify (- 1) into -1 7.522 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.523 * [backup-simplify]: Simplify (* 0 -1) into 0 7.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.524 * [backup-simplify]: Simplify (- 0) into 0 7.525 * [backup-simplify]: Simplify (+ 1 0) into 1 7.525 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.526 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.526 * [backup-simplify]: Simplify (sqrt 1) into 1 7.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.527 * [backup-simplify]: Simplify (- 0) into 0 7.528 * [backup-simplify]: Simplify (+ 0 0) into 0 7.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 7.530 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 7.530 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.531 * [backup-simplify]: Simplify (log 1) into 0 7.531 * [backup-simplify]: Simplify 0 into 0 7.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 7.532 * [backup-simplify]: Simplify 1/2 into 1/2 7.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.534 * [backup-simplify]: Simplify (- 0) into 0 7.534 * [backup-simplify]: Simplify (+ 0 0) into 0 7.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 7.537 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 7.538 * [backup-simplify]: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 7.541 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3/8) 1)) (pow 1 1)))) 2) into 1/4 7.541 * [backup-simplify]: Simplify 1/4 into 1/4 7.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.542 * [backup-simplify]: Simplify (- 0) into 0 7.543 * [backup-simplify]: Simplify (+ 0 0) into 0 7.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 7.545 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 7.547 * [backup-simplify]: Simplify (/ (- 1 (+ (* 2 (* 1/2 3/8)))) (* 2 1)) into 5/16 7.553 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 3/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 5/16) 1)) (pow 1 1)))) 6) into 1/6 7.553 * [backup-simplify]: Simplify 1/6 into 1/6 7.554 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 (- N)) 3)) (+ (* 1/4 (pow (/ 1 (- N)) 2)) (* 1/2 (/ 1 (- N))))) into (- (* 1/4 (/ 1 (pow N 2))) (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N)))) 7.554 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 7.554 * [backup-simplify]: Simplify (log (sqrt (/ N (+ 1 N)))) into (log (sqrt (/ N (+ N 1)))) 7.554 * [approximate]: Taking taylor expansion of (log (sqrt (/ N (+ N 1)))) in (N) around 0 7.554 * [taylor]: Taking taylor expansion of (log (sqrt (/ N (+ N 1)))) in N 7.554 * [taylor]: Taking taylor expansion of (sqrt (/ N (+ N 1))) in N 7.554 * [taylor]: Taking taylor expansion of (/ N (+ N 1)) in N 7.554 * [taylor]: Taking taylor expansion of N in N 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify 1 into 1 7.554 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.554 * [taylor]: Taking taylor expansion of N in N 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify 1 into 1 7.554 * [taylor]: Taking taylor expansion of 1 in N 7.555 * [backup-simplify]: Simplify 1 into 1 7.555 * [backup-simplify]: Simplify (+ 0 1) into 1 7.555 * [backup-simplify]: Simplify (/ 1 1) into 1 7.556 * [backup-simplify]: Simplify (sqrt 0) into 0 7.557 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.558 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.558 * [taylor]: Taking taylor expansion of (log (sqrt (/ N (+ N 1)))) in N 7.558 * [taylor]: Taking taylor expansion of (sqrt (/ N (+ N 1))) in N 7.558 * [taylor]: Taking taylor expansion of (/ N (+ N 1)) in N 7.558 * [taylor]: Taking taylor expansion of N in N 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify 1 into 1 7.558 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.558 * [taylor]: Taking taylor expansion of N in N 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify 1 into 1 7.558 * [taylor]: Taking taylor expansion of 1 in N 7.558 * [backup-simplify]: Simplify 1 into 1 7.559 * [backup-simplify]: Simplify (+ 0 1) into 1 7.559 * [backup-simplify]: Simplify (/ 1 1) into 1 7.560 * [backup-simplify]: Simplify (sqrt 0) into 0 7.561 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.561 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.562 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 7.563 * [backup-simplify]: Simplify (+ (log N) (log +nan.0)) into (+ (log N) (log +nan.0)) 7.563 * [backup-simplify]: Simplify (+ 1 0) into 1 7.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 7.568 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.575 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.575 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.576 * [backup-simplify]: Simplify (+ 0 0) into 0 7.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 7.580 * [backup-simplify]: Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.592 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 7.593 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.593 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (+ (log N) (log +nan.0)))) into (- (+ (log N) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 7.593 * [backup-simplify]: Simplify (log (sqrt (/ (/ 1 N) (+ 1 (/ 1 N))))) into (log (sqrt (/ 1 (* N (+ (/ 1 N) 1))))) 7.593 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 (* N (+ (/ 1 N) 1))))) in (N) around 0 7.593 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (* N (+ (/ 1 N) 1))))) in N 7.593 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* N (+ (/ 1 N) 1)))) in N 7.593 * [taylor]: Taking taylor expansion of (/ 1 (* N (+ (/ 1 N) 1))) in N 7.593 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.593 * [taylor]: Taking taylor expansion of N in N 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 1 into 1 7.593 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.593 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.593 * [taylor]: Taking taylor expansion of N in N 7.594 * [backup-simplify]: Simplify 0 into 0 7.594 * [backup-simplify]: Simplify 1 into 1 7.594 * [backup-simplify]: Simplify (/ 1 1) into 1 7.594 * [taylor]: Taking taylor expansion of 1 in N 7.594 * [backup-simplify]: Simplify 1 into 1 7.594 * [backup-simplify]: Simplify (+ 1 0) into 1 7.594 * [backup-simplify]: Simplify (* 0 1) into 0 7.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.595 * [backup-simplify]: Simplify (+ 0 1) into 1 7.596 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.596 * [backup-simplify]: Simplify (/ 1 1) into 1 7.596 * [backup-simplify]: Simplify (sqrt 1) into 1 7.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.597 * [backup-simplify]: Simplify (+ 0 0) into 0 7.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 7.598 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 7.599 * [backup-simplify]: Simplify (log 1) into 0 7.599 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 (* N (+ (/ 1 N) 1))))) in N 7.599 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* N (+ (/ 1 N) 1)))) in N 7.599 * [taylor]: Taking taylor expansion of (/ 1 (* N (+ (/ 1 N) 1))) in N 7.599 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.599 * [taylor]: Taking taylor expansion of N in N 7.599 * [backup-simplify]: Simplify 0 into 0 7.599 * [backup-simplify]: Simplify 1 into 1 7.599 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.599 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.599 * [taylor]: Taking taylor expansion of N in N 7.599 * [backup-simplify]: Simplify 0 into 0 7.599 * [backup-simplify]: Simplify 1 into 1 7.599 * [backup-simplify]: Simplify (/ 1 1) into 1 7.599 * [taylor]: Taking taylor expansion of 1 in N 7.599 * [backup-simplify]: Simplify 1 into 1 7.599 * [backup-simplify]: Simplify (+ 1 0) into 1 7.600 * [backup-simplify]: Simplify (* 0 1) into 0 7.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.600 * [backup-simplify]: Simplify (+ 0 1) into 1 7.601 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.601 * [backup-simplify]: Simplify (/ 1 1) into 1 7.601 * [backup-simplify]: Simplify (sqrt 1) into 1 7.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.602 * [backup-simplify]: Simplify (+ 0 0) into 0 7.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 7.603 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 7.604 * [backup-simplify]: Simplify (log 1) into 0 7.604 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 7.605 * [backup-simplify]: Simplify -1/2 into -1/2 7.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.605 * [backup-simplify]: Simplify (+ 0 0) into 0 7.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 7.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 7.607 * [backup-simplify]: Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8 7.609 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3/8) 1)) (pow 1 1)))) 2) into 1/4 7.609 * [backup-simplify]: Simplify 1/4 into 1/4 7.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.610 * [backup-simplify]: Simplify (+ 0 0) into 0 7.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 7.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)) (* 1 (/ 1 1)))) into -1 7.613 * [backup-simplify]: Simplify (/ (- -1 (+ (* 2 (* -1/2 3/8)))) (* 2 1)) into -5/16 7.619 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 3/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -5/16) 1)) (pow 1 1)))) 6) into -1/6 7.619 * [backup-simplify]: Simplify -1/6 into -1/6 7.620 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 N) 3)) (+ (* 1/4 (pow (/ 1 N) 2)) (* -1/2 (/ 1 N)))) into (- (* 1/4 (/ 1 (pow N 2))) (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N)))) 7.620 * [backup-simplify]: Simplify (log (sqrt (/ (/ 1 (- N)) (+ 1 (/ 1 (- N)))))) into (log (sqrt (/ -1 (* N (- 1 (/ 1 N)))))) 7.620 * [approximate]: Taking taylor expansion of (log (sqrt (/ -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 7.620 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 (* N (- 1 (/ 1 N)))))) in N 7.620 * [taylor]: Taking taylor expansion of (sqrt (/ -1 (* N (- 1 (/ 1 N))))) in N 7.620 * [taylor]: Taking taylor expansion of (/ -1 (* N (- 1 (/ 1 N)))) in N 7.620 * [taylor]: Taking taylor expansion of -1 in N 7.620 * [backup-simplify]: Simplify -1 into -1 7.620 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.620 * [taylor]: Taking taylor expansion of N in N 7.620 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify 1 into 1 7.620 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.620 * [taylor]: Taking taylor expansion of 1 in N 7.620 * [backup-simplify]: Simplify 1 into 1 7.620 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.620 * [taylor]: Taking taylor expansion of N in N 7.620 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify 1 into 1 7.621 * [backup-simplify]: Simplify (/ 1 1) into 1 7.621 * [backup-simplify]: Simplify (- 1) into -1 7.621 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.622 * [backup-simplify]: Simplify (* 0 -1) into 0 7.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.623 * [backup-simplify]: Simplify (- 0) into 0 7.623 * [backup-simplify]: Simplify (+ 1 0) into 1 7.624 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.624 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.625 * [backup-simplify]: Simplify (sqrt 1) into 1 7.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.626 * [backup-simplify]: Simplify (- 0) into 0 7.626 * [backup-simplify]: Simplify (+ 0 0) into 0 7.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 7.628 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 7.629 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.629 * [backup-simplify]: Simplify (log 1) into 0 7.629 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 (* N (- 1 (/ 1 N)))))) in N 7.630 * [taylor]: Taking taylor expansion of (sqrt (/ -1 (* N (- 1 (/ 1 N))))) in N 7.630 * [taylor]: Taking taylor expansion of (/ -1 (* N (- 1 (/ 1 N)))) in N 7.630 * [taylor]: Taking taylor expansion of -1 in N 7.630 * [backup-simplify]: Simplify -1 into -1 7.630 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.630 * [taylor]: Taking taylor expansion of N in N 7.630 * [backup-simplify]: Simplify 0 into 0 7.630 * [backup-simplify]: Simplify 1 into 1 7.630 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.630 * [taylor]: Taking taylor expansion of 1 in N 7.630 * [backup-simplify]: Simplify 1 into 1 7.630 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.630 * [taylor]: Taking taylor expansion of N in N 7.630 * [backup-simplify]: Simplify 0 into 0 7.630 * [backup-simplify]: Simplify 1 into 1 7.630 * [backup-simplify]: Simplify (/ 1 1) into 1 7.631 * [backup-simplify]: Simplify (- 1) into -1 7.631 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.632 * [backup-simplify]: Simplify (* 0 -1) into 0 7.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.633 * [backup-simplify]: Simplify (- 0) into 0 7.633 * [backup-simplify]: Simplify (+ 1 0) into 1 7.634 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.634 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.635 * [backup-simplify]: Simplify (sqrt 1) into 1 7.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.636 * [backup-simplify]: Simplify (- 0) into 0 7.636 * [backup-simplify]: Simplify (+ 0 0) into 0 7.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 7.638 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 7.639 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.639 * [backup-simplify]: Simplify (log 1) into 0 7.639 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 7.641 * [backup-simplify]: Simplify 1/2 into 1/2 7.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.642 * [backup-simplify]: Simplify (- 0) into 0 7.643 * [backup-simplify]: Simplify (+ 0 0) into 0 7.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 7.645 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 7.646 * [backup-simplify]: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 7.649 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3/8) 1)) (pow 1 1)))) 2) into 1/4 7.649 * [backup-simplify]: Simplify 1/4 into 1/4 7.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.651 * [backup-simplify]: Simplify (- 0) into 0 7.651 * [backup-simplify]: Simplify (+ 0 0) into 0 7.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 7.654 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 7.655 * [backup-simplify]: Simplify (/ (- 1 (+ (* 2 (* 1/2 3/8)))) (* 2 1)) into 5/16 7.662 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 3/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 5/16) 1)) (pow 1 1)))) 6) into 1/6 7.662 * [backup-simplify]: Simplify 1/6 into 1/6 7.662 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 (- N)) 3)) (+ (* 1/4 (pow (/ 1 (- N)) 2)) (* 1/2 (/ 1 (- N))))) into (- (* 1/4 (/ 1 (pow N 2))) (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N)))) 7.662 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 7.662 * [backup-simplify]: Simplify (/ N (+ 1 N)) into (/ N (+ N 1)) 7.662 * [approximate]: Taking taylor expansion of (/ N (+ N 1)) in (N) around 0 7.662 * [taylor]: Taking taylor expansion of (/ N (+ N 1)) in N 7.663 * [taylor]: Taking taylor expansion of N in N 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify 1 into 1 7.663 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.663 * [taylor]: Taking taylor expansion of N in N 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify 1 into 1 7.663 * [taylor]: Taking taylor expansion of 1 in N 7.663 * [backup-simplify]: Simplify 1 into 1 7.663 * [backup-simplify]: Simplify (+ 0 1) into 1 7.664 * [backup-simplify]: Simplify (/ 1 1) into 1 7.664 * [taylor]: Taking taylor expansion of (/ N (+ N 1)) in N 7.664 * [taylor]: Taking taylor expansion of N in N 7.664 * [backup-simplify]: Simplify 0 into 0 7.664 * [backup-simplify]: Simplify 1 into 1 7.664 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.664 * [taylor]: Taking taylor expansion of N in N 7.664 * [backup-simplify]: Simplify 0 into 0 7.664 * [backup-simplify]: Simplify 1 into 1 7.664 * [taylor]: Taking taylor expansion of 1 in N 7.664 * [backup-simplify]: Simplify 1 into 1 7.664 * [backup-simplify]: Simplify (+ 0 1) into 1 7.665 * [backup-simplify]: Simplify (/ 1 1) into 1 7.665 * [backup-simplify]: Simplify 1 into 1 7.665 * [backup-simplify]: Simplify (+ 1 0) into 1 7.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 7.666 * [backup-simplify]: Simplify -1 into -1 7.667 * [backup-simplify]: Simplify (+ 0 0) into 0 7.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 7.668 * [backup-simplify]: Simplify 1 into 1 7.668 * [backup-simplify]: Simplify (+ (* 1 (pow N 3)) (+ (* -1 (pow N 2)) (* 1 N))) into (- (+ N (pow N 3)) (pow N 2)) 7.668 * [backup-simplify]: Simplify (/ (/ 1 N) (+ 1 (/ 1 N))) into (/ 1 (* N (+ (/ 1 N) 1))) 7.668 * [approximate]: Taking taylor expansion of (/ 1 (* N (+ (/ 1 N) 1))) in (N) around 0 7.668 * [taylor]: Taking taylor expansion of (/ 1 (* N (+ (/ 1 N) 1))) in N 7.668 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.668 * [taylor]: Taking taylor expansion of N in N 7.668 * [backup-simplify]: Simplify 0 into 0 7.668 * [backup-simplify]: Simplify 1 into 1 7.668 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.669 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.669 * [taylor]: Taking taylor expansion of N in N 7.669 * [backup-simplify]: Simplify 0 into 0 7.669 * [backup-simplify]: Simplify 1 into 1 7.669 * [backup-simplify]: Simplify (/ 1 1) into 1 7.669 * [taylor]: Taking taylor expansion of 1 in N 7.669 * [backup-simplify]: Simplify 1 into 1 7.670 * [backup-simplify]: Simplify (+ 1 0) into 1 7.670 * [backup-simplify]: Simplify (* 0 1) into 0 7.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.671 * [backup-simplify]: Simplify (+ 0 1) into 1 7.672 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.672 * [backup-simplify]: Simplify (/ 1 1) into 1 7.672 * [taylor]: Taking taylor expansion of (/ 1 (* N (+ (/ 1 N) 1))) in N 7.672 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.673 * [taylor]: Taking taylor expansion of N in N 7.673 * [backup-simplify]: Simplify 0 into 0 7.673 * [backup-simplify]: Simplify 1 into 1 7.673 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.673 * [taylor]: Taking taylor expansion of N in N 7.673 * [backup-simplify]: Simplify 0 into 0 7.673 * [backup-simplify]: Simplify 1 into 1 7.673 * [backup-simplify]: Simplify (/ 1 1) into 1 7.673 * [taylor]: Taking taylor expansion of 1 in N 7.673 * [backup-simplify]: Simplify 1 into 1 7.674 * [backup-simplify]: Simplify (+ 1 0) into 1 7.674 * [backup-simplify]: Simplify (* 0 1) into 0 7.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.675 * [backup-simplify]: Simplify (+ 0 1) into 1 7.676 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.676 * [backup-simplify]: Simplify (/ 1 1) into 1 7.676 * [backup-simplify]: Simplify 1 into 1 7.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.678 * [backup-simplify]: Simplify (+ 0 0) into 0 7.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 7.679 * [backup-simplify]: Simplify -1 into -1 7.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.681 * [backup-simplify]: Simplify (+ 0 0) into 0 7.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 7.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 7.684 * [backup-simplify]: Simplify 1 into 1 7.684 * [backup-simplify]: Simplify (+ (* 1 (pow (/ 1 N) 2)) (+ (* -1 (/ 1 N)) 1)) into (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 7.684 * [backup-simplify]: Simplify (/ (/ 1 (- N)) (+ 1 (/ 1 (- N)))) into (/ -1 (* N (- 1 (/ 1 N)))) 7.684 * [approximate]: Taking taylor expansion of (/ -1 (* N (- 1 (/ 1 N)))) in (N) around 0 7.684 * [taylor]: Taking taylor expansion of (/ -1 (* N (- 1 (/ 1 N)))) in N 7.684 * [taylor]: Taking taylor expansion of -1 in N 7.685 * [backup-simplify]: Simplify -1 into -1 7.685 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.685 * [taylor]: Taking taylor expansion of N in N 7.685 * [backup-simplify]: Simplify 0 into 0 7.685 * [backup-simplify]: Simplify 1 into 1 7.685 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.685 * [taylor]: Taking taylor expansion of 1 in N 7.685 * [backup-simplify]: Simplify 1 into 1 7.685 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.685 * [taylor]: Taking taylor expansion of N in N 7.685 * [backup-simplify]: Simplify 0 into 0 7.685 * [backup-simplify]: Simplify 1 into 1 7.685 * [backup-simplify]: Simplify (/ 1 1) into 1 7.686 * [backup-simplify]: Simplify (- 1) into -1 7.686 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.687 * [backup-simplify]: Simplify (* 0 -1) into 0 7.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.688 * [backup-simplify]: Simplify (- 0) into 0 7.688 * [backup-simplify]: Simplify (+ 1 0) into 1 7.689 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.689 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.689 * [taylor]: Taking taylor expansion of (/ -1 (* N (- 1 (/ 1 N)))) in N 7.689 * [taylor]: Taking taylor expansion of -1 in N 7.689 * [backup-simplify]: Simplify -1 into -1 7.690 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.690 * [taylor]: Taking taylor expansion of N in N 7.690 * [backup-simplify]: Simplify 0 into 0 7.690 * [backup-simplify]: Simplify 1 into 1 7.690 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.690 * [taylor]: Taking taylor expansion of 1 in N 7.690 * [backup-simplify]: Simplify 1 into 1 7.690 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.690 * [taylor]: Taking taylor expansion of N in N 7.690 * [backup-simplify]: Simplify 0 into 0 7.690 * [backup-simplify]: Simplify 1 into 1 7.690 * [backup-simplify]: Simplify (/ 1 1) into 1 7.690 * [backup-simplify]: Simplify (- 1) into -1 7.691 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.691 * [backup-simplify]: Simplify (* 0 -1) into 0 7.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.692 * [backup-simplify]: Simplify (- 0) into 0 7.693 * [backup-simplify]: Simplify (+ 1 0) into 1 7.694 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.694 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.694 * [backup-simplify]: Simplify 1 into 1 7.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.695 * [backup-simplify]: Simplify (- 0) into 0 7.696 * [backup-simplify]: Simplify (+ 0 0) into 0 7.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 7.698 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 7.698 * [backup-simplify]: Simplify 1 into 1 7.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.699 * [backup-simplify]: Simplify (- 0) into 0 7.699 * [backup-simplify]: Simplify (+ 0 0) into 0 7.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 7.702 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 7.702 * [backup-simplify]: Simplify 1 into 1 7.702 * [backup-simplify]: Simplify (+ (* 1 (pow (/ 1 (- N)) 2)) (+ (* 1 (/ 1 (- N))) 1)) into (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 7.702 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 7.702 * [backup-simplify]: Simplify (/ N (+ 1 N)) into (/ N (+ N 1)) 7.702 * [approximate]: Taking taylor expansion of (/ N (+ N 1)) in (N) around 0 7.702 * [taylor]: Taking taylor expansion of (/ N (+ N 1)) in N 7.702 * [taylor]: Taking taylor expansion of N in N 7.702 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 1 into 1 7.703 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.703 * [taylor]: Taking taylor expansion of N in N 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 1 into 1 7.703 * [taylor]: Taking taylor expansion of 1 in N 7.703 * [backup-simplify]: Simplify 1 into 1 7.703 * [backup-simplify]: Simplify (+ 0 1) into 1 7.703 * [backup-simplify]: Simplify (/ 1 1) into 1 7.704 * [taylor]: Taking taylor expansion of (/ N (+ N 1)) in N 7.704 * [taylor]: Taking taylor expansion of N in N 7.704 * [backup-simplify]: Simplify 0 into 0 7.704 * [backup-simplify]: Simplify 1 into 1 7.704 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.704 * [taylor]: Taking taylor expansion of N in N 7.704 * [backup-simplify]: Simplify 0 into 0 7.704 * [backup-simplify]: Simplify 1 into 1 7.704 * [taylor]: Taking taylor expansion of 1 in N 7.704 * [backup-simplify]: Simplify 1 into 1 7.704 * [backup-simplify]: Simplify (+ 0 1) into 1 7.705 * [backup-simplify]: Simplify (/ 1 1) into 1 7.705 * [backup-simplify]: Simplify 1 into 1 7.705 * [backup-simplify]: Simplify (+ 1 0) into 1 7.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 7.706 * [backup-simplify]: Simplify -1 into -1 7.706 * [backup-simplify]: Simplify (+ 0 0) into 0 7.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 7.708 * [backup-simplify]: Simplify 1 into 1 7.708 * [backup-simplify]: Simplify (+ (* 1 (pow N 3)) (+ (* -1 (pow N 2)) (* 1 N))) into (- (+ N (pow N 3)) (pow N 2)) 7.708 * [backup-simplify]: Simplify (/ (/ 1 N) (+ 1 (/ 1 N))) into (/ 1 (* N (+ (/ 1 N) 1))) 7.708 * [approximate]: Taking taylor expansion of (/ 1 (* N (+ (/ 1 N) 1))) in (N) around 0 7.708 * [taylor]: Taking taylor expansion of (/ 1 (* N (+ (/ 1 N) 1))) in N 7.708 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.708 * [taylor]: Taking taylor expansion of N in N 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify 1 into 1 7.708 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.708 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.708 * [taylor]: Taking taylor expansion of N in N 7.709 * [backup-simplify]: Simplify 0 into 0 7.709 * [backup-simplify]: Simplify 1 into 1 7.709 * [backup-simplify]: Simplify (/ 1 1) into 1 7.709 * [taylor]: Taking taylor expansion of 1 in N 7.709 * [backup-simplify]: Simplify 1 into 1 7.710 * [backup-simplify]: Simplify (+ 1 0) into 1 7.710 * [backup-simplify]: Simplify (* 0 1) into 0 7.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.711 * [backup-simplify]: Simplify (+ 0 1) into 1 7.712 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.712 * [backup-simplify]: Simplify (/ 1 1) into 1 7.712 * [taylor]: Taking taylor expansion of (/ 1 (* N (+ (/ 1 N) 1))) in N 7.713 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.713 * [taylor]: Taking taylor expansion of N in N 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify 1 into 1 7.713 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.713 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.713 * [taylor]: Taking taylor expansion of N in N 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify 1 into 1 7.713 * [backup-simplify]: Simplify (/ 1 1) into 1 7.713 * [taylor]: Taking taylor expansion of 1 in N 7.713 * [backup-simplify]: Simplify 1 into 1 7.714 * [backup-simplify]: Simplify (+ 1 0) into 1 7.714 * [backup-simplify]: Simplify (* 0 1) into 0 7.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.715 * [backup-simplify]: Simplify (+ 0 1) into 1 7.716 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.716 * [backup-simplify]: Simplify (/ 1 1) into 1 7.716 * [backup-simplify]: Simplify 1 into 1 7.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.718 * [backup-simplify]: Simplify (+ 0 0) into 0 7.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 7.721 * [backup-simplify]: Simplify -1 into -1 7.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.723 * [backup-simplify]: Simplify (+ 0 0) into 0 7.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 7.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 7.724 * [backup-simplify]: Simplify 1 into 1 7.724 * [backup-simplify]: Simplify (+ (* 1 (pow (/ 1 N) 2)) (+ (* -1 (/ 1 N)) 1)) into (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 7.725 * [backup-simplify]: Simplify (/ (/ 1 (- N)) (+ 1 (/ 1 (- N)))) into (/ -1 (* N (- 1 (/ 1 N)))) 7.725 * [approximate]: Taking taylor expansion of (/ -1 (* N (- 1 (/ 1 N)))) in (N) around 0 7.725 * [taylor]: Taking taylor expansion of (/ -1 (* N (- 1 (/ 1 N)))) in N 7.725 * [taylor]: Taking taylor expansion of -1 in N 7.725 * [backup-simplify]: Simplify -1 into -1 7.725 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.725 * [taylor]: Taking taylor expansion of N in N 7.725 * [backup-simplify]: Simplify 0 into 0 7.725 * [backup-simplify]: Simplify 1 into 1 7.725 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.725 * [taylor]: Taking taylor expansion of 1 in N 7.725 * [backup-simplify]: Simplify 1 into 1 7.725 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.725 * [taylor]: Taking taylor expansion of N in N 7.725 * [backup-simplify]: Simplify 0 into 0 7.725 * [backup-simplify]: Simplify 1 into 1 7.725 * [backup-simplify]: Simplify (/ 1 1) into 1 7.725 * [backup-simplify]: Simplify (- 1) into -1 7.726 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.726 * [backup-simplify]: Simplify (* 0 -1) into 0 7.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.727 * [backup-simplify]: Simplify (- 0) into 0 7.727 * [backup-simplify]: Simplify (+ 1 0) into 1 7.727 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.728 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.728 * [taylor]: Taking taylor expansion of (/ -1 (* N (- 1 (/ 1 N)))) in N 7.728 * [taylor]: Taking taylor expansion of -1 in N 7.728 * [backup-simplify]: Simplify -1 into -1 7.728 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.728 * [taylor]: Taking taylor expansion of N in N 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 1 into 1 7.728 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.728 * [taylor]: Taking taylor expansion of 1 in N 7.728 * [backup-simplify]: Simplify 1 into 1 7.728 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.728 * [taylor]: Taking taylor expansion of N in N 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 1 into 1 7.728 * [backup-simplify]: Simplify (/ 1 1) into 1 7.728 * [backup-simplify]: Simplify (- 1) into -1 7.729 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.729 * [backup-simplify]: Simplify (* 0 -1) into 0 7.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.730 * [backup-simplify]: Simplify (- 0) into 0 7.730 * [backup-simplify]: Simplify (+ 1 0) into 1 7.730 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.730 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.731 * [backup-simplify]: Simplify 1 into 1 7.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.731 * [backup-simplify]: Simplify (- 0) into 0 7.732 * [backup-simplify]: Simplify (+ 0 0) into 0 7.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 7.733 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 7.733 * [backup-simplify]: Simplify 1 into 1 7.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.734 * [backup-simplify]: Simplify (- 0) into 0 7.734 * [backup-simplify]: Simplify (+ 0 0) into 0 7.735 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 7.735 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 7.735 * [backup-simplify]: Simplify 1 into 1 7.735 * [backup-simplify]: Simplify (+ (* 1 (pow (/ 1 (- N)) 2)) (+ (* 1 (/ 1 (- N))) 1)) into (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 7.736 * * * [progress]: simplifying candidates 7.736 * * * * [progress]: [ 1 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 2 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 3 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 4 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 5 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 6 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 7 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 8 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 9 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 10 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 11 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 12 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 13 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 14 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 15 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 16 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 17 / 166 ] simplifiying candidate # 7.736 * * * * [progress]: [ 18 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 19 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 20 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 21 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 22 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 23 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 24 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 25 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 26 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 27 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 28 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 29 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 30 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 31 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 32 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 33 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 34 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 35 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 36 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 37 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 38 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 39 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 40 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 41 / 166 ] simplifiying candidate # 7.737 * * * * [progress]: [ 42 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 43 / 166 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ N (+ 1 N)))))))))> 7.738 * * * * [progress]: [ 44 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 45 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 46 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 47 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 48 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 49 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 50 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 51 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 52 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 53 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 54 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 55 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 56 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 57 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 58 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 59 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 60 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 61 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 62 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 63 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 64 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 65 / 166 ] simplifiying candidate # 7.738 * * * * [progress]: [ 66 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 67 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 68 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 69 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 70 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 71 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 72 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 73 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 74 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 75 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 76 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 77 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 78 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 79 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 80 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 81 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 82 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 83 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 84 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 85 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 86 / 166 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ N (+ 1 N)))))) (log (sqrt (/ N (+ 1 N)))))))> 7.739 * * * * [progress]: [ 87 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: [ 88 / 166 ] simplifiying candidate # 7.739 * * * * [progress]: 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# 7.740 * * * * [progress]: [ 105 / 166 ] simplifiying candidate # 7.740 * * * * [progress]: [ 106 / 166 ] simplifiying candidate # 7.740 * * * * [progress]: [ 107 / 166 ] simplifiying candidate # 7.740 * * * * [progress]: [ 108 / 166 ] simplifiying candidate # 7.740 * * * * [progress]: [ 109 / 166 ] simplifiying candidate # 7.740 * * * * [progress]: [ 110 / 166 ] simplifiying candidate # 7.740 * * * * [progress]: [ 111 / 166 ] simplifiying candidate # 7.740 * * * * [progress]: [ 112 / 166 ] simplifiying candidate # 7.740 * * * * [progress]: [ 113 / 166 ] simplifiying candidate # 7.740 * * * * [progress]: [ 114 / 166 ] simplifiying candidate # 7.740 * * * * [progress]: [ 115 / 166 ] simplifiying candidate # 7.740 * * * * [progress]: [ 116 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 117 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 118 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 119 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 120 / 166 ] simplifiying candidate #real (real->posit16 (/ N (+ 1 N)))))))))> 7.741 * * * * [progress]: [ 121 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 122 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 123 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 124 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 125 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 126 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 127 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 128 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 129 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 130 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 131 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 132 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 133 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 134 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 135 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 136 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 137 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 138 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 139 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 140 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 141 / 166 ] simplifiying candidate # 7.741 * * * * [progress]: [ 142 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 143 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 144 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 145 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 146 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 147 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 148 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 149 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 150 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 151 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 152 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 153 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 154 / 166 ] simplifiying candidate #real (real->posit16 (/ N (+ 1 N)))))) (log (sqrt (/ N (+ 1 N)))))))> 7.742 * * * * [progress]: [ 155 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 156 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 157 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 158 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 159 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 160 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 161 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 162 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 163 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 164 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 165 / 166 ] simplifiying candidate # 7.742 * * * * [progress]: [ 166 / 166 ] simplifiying candidate # 7.744 * [simplify]: Simplifying: (log (* (cbrt (sqrt (/ N (+ 1 N)))) (cbrt (sqrt (/ N (+ 1 N)))))) (log (cbrt (sqrt (/ N (+ 1 N))))) (log (sqrt (* (cbrt (/ N (+ 1 N))) (cbrt (/ N (+ 1 N)))))) (log (sqrt (cbrt (/ N (+ 1 N))))) (log (sqrt (sqrt (/ N (+ 1 N))))) (log (sqrt (sqrt (/ N (+ 1 N))))) (log (sqrt (/ (* (cbrt N) (cbrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))))) (log (sqrt (/ (cbrt N) (cbrt (+ 1 N))))) (log (sqrt (/ (* (cbrt N) (cbrt N)) (sqrt (+ 1 N))))) (log (sqrt (/ (cbrt N) (sqrt (+ 1 N))))) (log (sqrt (/ (* (cbrt N) (cbrt N)) 1))) (log (sqrt (/ (cbrt N) (+ 1 N)))) (log (sqrt (/ (* (cbrt N) (cbrt N)) 1))) (log (sqrt (/ (cbrt N) (+ 1 N)))) (log (sqrt (/ (sqrt N) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))))) (log (sqrt (/ (sqrt N) (cbrt (+ 1 N))))) (log (sqrt (/ (sqrt N) (sqrt (+ 1 N))))) (log (sqrt (/ (sqrt N) (sqrt (+ 1 N))))) (log (sqrt (/ (sqrt N) 1))) (log (sqrt (/ (sqrt N) (+ 1 N)))) (log (sqrt (/ (sqrt N) 1))) (log (sqrt (/ (sqrt N) (+ 1 N)))) (log (sqrt (/ 1 (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))))) (log (sqrt (/ N (cbrt (+ 1 N))))) (log (sqrt (/ 1 (sqrt (+ 1 N))))) (log (sqrt (/ N (sqrt (+ 1 N))))) (log (sqrt (/ 1 1))) (log (sqrt (/ N (+ 1 N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ N (+ 1 N)))) (log (sqrt 1)) (log (sqrt (/ N (+ 1 N)))) (log (sqrt N)) (log (sqrt (/ 1 (+ 1 N)))) (log (sqrt (/ N (+ (pow 1 3) (pow N 3))))) (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (sqrt (/ N (- (* 1 1) (* N N))))) (log (sqrt (- 1 N))) (log (sqrt (sqrt (/ N (+ 1 N))))) (log (sqrt (sqrt (/ N (+ 1 N))))) (log 1) (log (sqrt (/ N (+ 1 N)))) (log (sqrt N)) (log (sqrt (+ 1 N))) (log (sqrt (- N))) (log (sqrt (- (+ 1 N)))) (log (sqrt 1)) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ N (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))))) (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (/ N (sqrt (+ 1 N))))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (/ N 1))) (log (sqrt (+ 1 N))) (log (sqrt (/ N 1))) (log (sqrt (+ 1 N))) (log (sqrt (* (cbrt N) (cbrt N)))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (sqrt N))) (log (sqrt (/ (+ 1 N) (sqrt N)))) (log (sqrt 1)) (log (sqrt (/ (+ 1 N) N))) (log (/ N (+ 1 N))) (log (sqrt (/ N (+ 1 N)))) (log (/ N (+ 1 N))) (log (log (sqrt (/ N (+ 1 N))))) (exp (log (sqrt (/ N (+ 1 N))))) (* (cbrt (log (sqrt (/ N (+ 1 N))))) (cbrt (log (sqrt (/ N (+ 1 N)))))) (cbrt (log (sqrt (/ N (+ 1 N))))) (* (* (log (sqrt (/ N (+ 1 N)))) (log (sqrt (/ N (+ 1 N))))) (log (sqrt (/ N (+ 1 N))))) (sqrt (log (sqrt (/ N (+ 1 N))))) (sqrt (log (sqrt (/ N (+ 1 N))))) (real->posit16 (log (sqrt (/ N (+ 1 N))))) (log (* (cbrt (sqrt (/ N (+ 1 N)))) (cbrt (sqrt (/ N (+ 1 N)))))) (log (cbrt (sqrt (/ N (+ 1 N))))) (log (sqrt (* (cbrt (/ N (+ 1 N))) (cbrt (/ N (+ 1 N)))))) (log (sqrt (cbrt (/ N (+ 1 N))))) (log (sqrt (sqrt (/ N (+ 1 N))))) (log (sqrt (sqrt (/ N (+ 1 N))))) (log (sqrt (/ (* (cbrt N) (cbrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))))) (log (sqrt (/ (cbrt N) (cbrt (+ 1 N))))) (log (sqrt (/ (* (cbrt N) (cbrt N)) (sqrt (+ 1 N))))) (log (sqrt (/ (cbrt N) (sqrt (+ 1 N))))) (log (sqrt (/ (* (cbrt N) (cbrt N)) 1))) (log (sqrt (/ (cbrt N) (+ 1 N)))) (log (sqrt (/ (* (cbrt N) (cbrt N)) 1))) (log (sqrt (/ (cbrt N) (+ 1 N)))) (log (sqrt (/ (sqrt N) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))))) (log (sqrt (/ (sqrt N) (cbrt (+ 1 N))))) (log (sqrt (/ (sqrt N) (sqrt (+ 1 N))))) (log (sqrt (/ (sqrt N) (sqrt (+ 1 N))))) (log (sqrt (/ (sqrt N) 1))) (log (sqrt (/ (sqrt N) (+ 1 N)))) (log (sqrt (/ (sqrt N) 1))) (log (sqrt (/ (sqrt N) (+ 1 N)))) (log (sqrt (/ 1 (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))))) (log (sqrt (/ N (cbrt (+ 1 N))))) (log (sqrt (/ 1 (sqrt (+ 1 N))))) (log (sqrt (/ N (sqrt (+ 1 N))))) (log (sqrt (/ 1 1))) (log (sqrt (/ N (+ 1 N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ N (+ 1 N)))) (log (sqrt 1)) (log (sqrt (/ N (+ 1 N)))) (log (sqrt N)) (log (sqrt (/ 1 (+ 1 N)))) (log (sqrt (/ N (+ (pow 1 3) (pow N 3))))) (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (sqrt (/ N (- (* 1 1) (* N N))))) (log (sqrt (- 1 N))) (log (sqrt (sqrt (/ N (+ 1 N))))) (log (sqrt (sqrt (/ N (+ 1 N))))) (log 1) (log (sqrt (/ N (+ 1 N)))) (log (sqrt N)) (log (sqrt (+ 1 N))) (log (sqrt (- N))) (log (sqrt (- (+ 1 N)))) (log (sqrt 1)) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ N (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))))) (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (/ N (sqrt (+ 1 N))))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (/ N 1))) (log (sqrt (+ 1 N))) (log (sqrt (/ N 1))) (log (sqrt (+ 1 N))) (log (sqrt (* (cbrt N) (cbrt N)))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (sqrt N))) (log (sqrt (/ (+ 1 N) (sqrt N)))) (log (sqrt 1)) (log (sqrt (/ (+ 1 N) N))) (log (/ N (+ 1 N))) (log (sqrt (/ N (+ 1 N)))) (log (/ N (+ 1 N))) (log (log (sqrt (/ N (+ 1 N))))) (exp (log (sqrt (/ N (+ 1 N))))) (* (cbrt (log (sqrt (/ N (+ 1 N))))) (cbrt (log (sqrt (/ N (+ 1 N)))))) (cbrt (log (sqrt (/ N (+ 1 N))))) (* (* (log (sqrt (/ N (+ 1 N)))) (log (sqrt (/ N (+ 1 N))))) (log 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N 2)) 1) (/ 1 N)) (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 7.746 * * [simplify]: iteration 0: 175 enodes 7.818 * * [simplify]: iteration 1: 292 enodes 7.913 * * [simplify]: iteration 2: 636 enodes 8.396 * * [simplify]: iteration 3: 2354 enodes 9.066 * * [simplify]: iteration complete: 5427 enodes 9.066 * * [simplify]: Extracting #0: cost 81 inf + 0 9.069 * * [simplify]: Extracting #1: cost 862 inf + 85 9.082 * * [simplify]: Extracting #2: cost 1907 inf + 19220 9.107 * * [simplify]: Extracting #3: cost 1154 inf + 164156 9.174 * * [simplify]: Extracting #4: cost 526 inf + 295195 9.257 * * [simplify]: Extracting #5: cost 311 inf + 355158 9.342 * * [simplify]: Extracting #6: cost 58 inf + 426289 9.432 * * [simplify]: Extracting #7: cost 0 inf + 442123 9.510 * [simplify]: Simplified to: (log (* (cbrt (sqrt (/ N (+ N 1)))) (cbrt (sqrt (/ N (+ N 1)))))) (log (cbrt (sqrt (/ N (+ N 1))))) (log (fabs (cbrt (/ N (+ N 1))))) (log (sqrt (cbrt (/ N (+ N 1))))) (log (sqrt (sqrt (/ N (+ N 1))))) (log (sqrt 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Extracting. 10.357 * * [regime]: Finding splitpoints for: (# #) 10.357 * * * [regime-changes]: Trying 1 branch expressions: (N) 10.357 * * * * [regimes]: Trying to branch on N from (# #) 10.396 * * * [regime]: Found split indices: #