22.686 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.105 * * * [progress]: [2/2] Setting up program. 0.107 * [progress]: [Phase 2 of 3] Improving. 0.107 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.108 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.108 * * [simplify]: iteration 1: (6 enodes) 0.109 * * [simplify]: iteration 2: (9 enodes) 0.110 * * [simplify]: iteration 3: (10 enodes) 0.111 * * [simplify]: Extracting #0: cost 1 inf + 0 0.111 * * [simplify]: Extracting #1: cost 4 inf + 0 0.111 * * [simplify]: Extracting #2: cost 6 inf + 0 0.112 * * [simplify]: Extracting #3: cost 6 inf + 1 0.112 * * [simplify]: Extracting #4: cost 0 inf + 560 0.112 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.115 * * [progress]: iteration 1 / 4 0.115 * * * [progress]: picking best candidate 0.117 * * * * [pick]: Picked # 0.117 * * * [progress]: localizing error 0.129 * * * [progress]: generating rewritten candidates 0.129 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.136 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.177 * * * [progress]: generating series expansions 0.177 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.182 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.182 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.183 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.183 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [taylor]: Taking taylor expansion of 1 in N 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (+ 0 1) into 1 0.186 * [backup-simplify]: Simplify (log 1) into 0 0.186 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.186 * [taylor]: Taking taylor expansion of (+ N 1) 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 0.186 * [taylor]: Taking taylor expansion of 1 in N 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (+ 0 1) into 1 0.187 * [backup-simplify]: Simplify (log 1) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.190 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.194 * [backup-simplify]: Simplify -1/2 into -1/2 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [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 0.200 * [backup-simplify]: Simplify 1/3 into 1/3 0.204 * [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))) 0.204 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.204 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.204 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [taylor]: Taking taylor expansion of 1 in N 0.205 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.206 * [backup-simplify]: Simplify (log 1) into 0 0.206 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [taylor]: Taking taylor expansion of 1 in N 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (+ 1 0) into 1 0.208 * [backup-simplify]: Simplify (log 1) into 0 0.208 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.208 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 1) into 1 0.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.215 * [backup-simplify]: Simplify -1/2 into -1/2 0.216 * [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)))) 0.216 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.216 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.216 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.216 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.216 * [taylor]: Taking taylor expansion of 1 in N 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [backup-simplify]: Simplify (- 1) into -1 0.218 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.218 * [backup-simplify]: Simplify (log -1) into (log -1) 0.218 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.218 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.218 * [taylor]: Taking taylor expansion of 1 in N 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.218 * [taylor]: Taking taylor expansion of N in N 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [backup-simplify]: Simplify (- 1) into -1 0.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.220 * [backup-simplify]: Simplify (log -1) into (log -1) 0.221 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.221 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ 1 0) into 1 0.224 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.224 * [backup-simplify]: Simplify -1 into -1 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [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 -1/2 into -1/2 0.230 * [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)))) 0.230 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.230 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.230 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.230 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.230 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.230 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of 1 in N 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (+ 0 1) into 1 0.231 * [backup-simplify]: Simplify (log 1) into 0 0.231 * [taylor]: Taking taylor expansion of (log N) in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (log 1) into 0 0.231 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.231 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.231 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.231 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of 1 in N 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (+ 0 1) into 1 0.232 * [backup-simplify]: Simplify (log 1) into 0 0.232 * [taylor]: Taking taylor expansion of (log N) in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (log 1) into 0 0.233 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.233 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.233 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.233 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.234 * [backup-simplify]: Simplify (+ 1 0) into 1 0.234 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ 1 0) into 1 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.239 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.240 * [backup-simplify]: Simplify -1/2 into -1/2 0.240 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.240 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.240 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.240 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.240 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [taylor]: Taking taylor expansion of 1 in N 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (+ 1 0) into 1 0.241 * [backup-simplify]: Simplify (log 1) into 0 0.241 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.241 * [taylor]: Taking taylor expansion of N in N 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [backup-simplify]: Simplify (log 1) into 0 0.241 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.241 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.242 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.242 * [taylor]: Taking taylor expansion of N in N 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [taylor]: Taking taylor expansion of 1 in N 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (+ 1 0) into 1 0.242 * [backup-simplify]: Simplify (log 1) into 0 0.242 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.242 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.242 * [taylor]: Taking taylor expansion of N in N 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [backup-simplify]: Simplify (log 1) into 0 0.243 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.244 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.244 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.244 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ 0 1) into 1 0.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 1 0) into 1 0.247 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.253 * [backup-simplify]: Simplify -1/2 into -1/2 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [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 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.261 * [backup-simplify]: Simplify 1/3 into 1/3 0.262 * [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)))) 0.262 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.262 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.262 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.262 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.262 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.262 * [taylor]: Taking taylor expansion of 1 in N 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.262 * [taylor]: Taking taylor expansion of N in N 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [backup-simplify]: Simplify (- 1) into -1 0.264 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.264 * [backup-simplify]: Simplify (log -1) into (log -1) 0.264 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.264 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.264 * [taylor]: Taking taylor expansion of -1 in N 0.264 * [backup-simplify]: Simplify -1 into -1 0.264 * [taylor]: Taking taylor expansion of N in N 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ -1 1) into -1 0.266 * [backup-simplify]: Simplify (log -1) into (log -1) 0.266 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.266 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.266 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.266 * [taylor]: Taking taylor expansion of 1 in N 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.266 * [taylor]: Taking taylor expansion of N in N 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [backup-simplify]: Simplify (- 1) into -1 0.267 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.267 * [backup-simplify]: Simplify (log -1) into (log -1) 0.267 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.268 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.268 * [taylor]: Taking taylor expansion of -1 in N 0.268 * [backup-simplify]: Simplify -1 into -1 0.268 * [taylor]: Taking taylor expansion of N in N 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ -1 1) into -1 0.269 * [backup-simplify]: Simplify (log -1) into (log -1) 0.269 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.270 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.271 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.272 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 1 0) into 1 0.274 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ -1 0) into -1 0.276 * [backup-simplify]: Simplify -1 into -1 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.282 * [backup-simplify]: Simplify -1/2 into -1/2 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [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 0.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [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 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.295 * [backup-simplify]: Simplify -1/3 into -1/3 0.295 * [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)))) 0.295 * * * [progress]: simplifying candidates 0.295 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.295 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.295 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.295 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.295 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.295 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.295 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.295 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.295 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 16 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.296 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 27 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.296 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.297 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.297 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.297 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.297 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.297 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.297 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.297 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.297 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.297 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.297 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.297 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.297 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.297 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.297 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.297 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.298 * [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) (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)))) 0.298 * * [simplify]: iteration 1: (97 enodes) 0.340 * * [simplify]: iteration 2: (194 enodes) 0.429 * * [simplify]: iteration 3: (416 enodes) 0.627 * * [simplify]: iteration 4: (1181 enodes) 1.664 * * [simplify]: Extracting #0: cost 41 inf + 0 1.665 * * [simplify]: Extracting #1: cost 292 inf + 1 1.667 * * [simplify]: Extracting #2: cost 656 inf + 365 1.677 * * [simplify]: Extracting #3: cost 473 inf + 34977 1.712 * * [simplify]: Extracting #4: cost 94 inf + 123136 1.762 * * [simplify]: Extracting #5: cost 3 inf + 152666 1.814 * * [simplify]: Extracting #6: cost 0 inf + 153606 1.847 * [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 (+ -1 N)) (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) (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 (+ 1 N)) (log (+ 1 N)))) (- (log N)) (* (+ (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (+ (log (+ 1 N)) (log N)) (+ (sqrt (log (+ 1 N))) (sqrt (log 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 (+ -1 N))) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (+ (* (+ (* N 1/3) -1/2) (* N N)) N) (- (/ -1/2 (* N N)) (- (log (/ 1 N)) (/ 1 N))) (- (/ -1/2 (* N N)) (- (log (/ 1 N)) (/ 1 N))) (- N (+ (log N) (* 1/2 (* N N)))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))) 1.849 * * * [progress]: adding candidates to table 2.180 * * [progress]: iteration 2 / 4 2.180 * * * [progress]: picking best candidate 2.191 * * * * [pick]: Picked # 2.192 * * * [progress]: localizing error 2.235 * * * [progress]: generating rewritten candidates 2.235 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.241 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 2.247 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.253 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.275 * * * [progress]: generating series expansions 2.275 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.275 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 2.275 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 2.275 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.275 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.275 * [taylor]: Taking taylor expansion of N in N 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [taylor]: Taking taylor expansion of 1 in N 2.275 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (+ 0 1) into 1 2.276 * [backup-simplify]: Simplify (log 1) into 0 2.276 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.276 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.276 * [taylor]: Taking taylor expansion of N in N 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [taylor]: Taking taylor expansion of 1 in N 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (+ 0 1) into 1 2.277 * [backup-simplify]: Simplify (log 1) into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify (+ 1 0) into 1 2.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [backup-simplify]: Simplify (+ 0 0) into 0 2.279 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.279 * [backup-simplify]: Simplify -1/2 into -1/2 2.280 * [backup-simplify]: Simplify (+ 0 0) into 0 2.282 * [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 2.282 * [backup-simplify]: Simplify 1/3 into 1/3 2.283 * [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))) 2.283 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 2.283 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 2.283 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.283 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.283 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.283 * [taylor]: Taking taylor expansion of N in N 2.283 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify 1 into 1 2.283 * [backup-simplify]: Simplify (/ 1 1) into 1 2.283 * [taylor]: Taking taylor expansion of 1 in N 2.283 * [backup-simplify]: Simplify 1 into 1 2.284 * [backup-simplify]: Simplify (+ 1 0) into 1 2.284 * [backup-simplify]: Simplify (log 1) into 0 2.284 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.284 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.284 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.284 * [taylor]: Taking taylor expansion of N in N 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 1 into 1 2.284 * [backup-simplify]: Simplify (/ 1 1) into 1 2.284 * [taylor]: Taking taylor expansion of 1 in N 2.284 * [backup-simplify]: Simplify 1 into 1 2.284 * [backup-simplify]: Simplify (+ 1 0) into 1 2.285 * [backup-simplify]: Simplify (log 1) into 0 2.285 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.285 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.286 * [backup-simplify]: Simplify (+ 0 1) into 1 2.286 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.286 * [backup-simplify]: Simplify 1 into 1 2.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (+ 0 0) into 0 2.289 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.289 * [backup-simplify]: Simplify -1/2 into -1/2 2.289 * [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)))) 2.289 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 2.289 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 2.289 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.289 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.289 * [taylor]: Taking taylor expansion of 1 in N 2.289 * [backup-simplify]: Simplify 1 into 1 2.289 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.289 * [taylor]: Taking taylor expansion of N in N 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 1 into 1 2.290 * [backup-simplify]: Simplify (/ 1 1) into 1 2.290 * [backup-simplify]: Simplify (- 1) into -1 2.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.290 * [backup-simplify]: Simplify (log -1) into (log -1) 2.290 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.291 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.291 * [taylor]: Taking taylor expansion of 1 in N 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.291 * [taylor]: Taking taylor expansion of N in N 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [backup-simplify]: Simplify (/ 1 1) into 1 2.291 * [backup-simplify]: Simplify (- 1) into -1 2.291 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.292 * [backup-simplify]: Simplify (log -1) into (log -1) 2.292 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.293 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 2.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.293 * [backup-simplify]: Simplify (- 0) into 0 2.294 * [backup-simplify]: Simplify (+ 1 0) into 1 2.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.295 * [backup-simplify]: Simplify -1 into -1 2.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.295 * [backup-simplify]: Simplify (- 0) into 0 2.296 * [backup-simplify]: Simplify (+ 0 0) into 0 2.297 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.297 * [backup-simplify]: Simplify -1/2 into -1/2 2.298 * [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)))) 2.298 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 2.298 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 2.298 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 2.298 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.298 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.298 * [taylor]: Taking taylor expansion of N in N 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 1 into 1 2.298 * [taylor]: Taking taylor expansion of 1 in N 2.298 * [backup-simplify]: Simplify 1 into 1 2.299 * [backup-simplify]: Simplify (+ 0 1) into 1 2.299 * [backup-simplify]: Simplify (log 1) into 0 2.299 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.299 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.299 * [taylor]: Taking taylor expansion of N in N 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 1 into 1 2.299 * [taylor]: Taking taylor expansion of 1 in N 2.299 * [backup-simplify]: Simplify 1 into 1 2.299 * [backup-simplify]: Simplify (+ 0 1) into 1 2.299 * [backup-simplify]: Simplify (log 1) into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify (+ 1 0) into 1 2.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.301 * [backup-simplify]: Simplify 1 into 1 2.301 * [backup-simplify]: Simplify (+ 0 0) into 0 2.303 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.303 * [backup-simplify]: Simplify -1/2 into -1/2 2.303 * [backup-simplify]: Simplify (+ 0 0) into 0 2.306 * [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 2.306 * [backup-simplify]: Simplify 1/3 into 1/3 2.306 * [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))) 2.306 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 2.306 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 2.306 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.306 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.306 * [taylor]: Taking taylor expansion of N in N 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.307 * [backup-simplify]: Simplify (/ 1 1) into 1 2.307 * [taylor]: Taking taylor expansion of 1 in N 2.307 * [backup-simplify]: Simplify 1 into 1 2.307 * [backup-simplify]: Simplify (+ 1 0) into 1 2.308 * [backup-simplify]: Simplify (log 1) into 0 2.308 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.308 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.308 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.308 * [taylor]: Taking taylor expansion of N in N 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify 1 into 1 2.308 * [backup-simplify]: Simplify (/ 1 1) into 1 2.308 * [taylor]: Taking taylor expansion of 1 in N 2.308 * [backup-simplify]: Simplify 1 into 1 2.309 * [backup-simplify]: Simplify (+ 1 0) into 1 2.309 * [backup-simplify]: Simplify (log 1) into 0 2.310 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.310 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.311 * [backup-simplify]: Simplify (+ 0 1) into 1 2.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.312 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.314 * [backup-simplify]: Simplify (+ 0 0) into 0 2.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.316 * [backup-simplify]: Simplify -1/2 into -1/2 2.316 * [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)))) 2.317 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 2.317 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 2.317 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.317 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.317 * [taylor]: Taking taylor expansion of 1 in N 2.317 * [backup-simplify]: Simplify 1 into 1 2.317 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.317 * [taylor]: Taking taylor expansion of N in N 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 1 into 1 2.317 * [backup-simplify]: Simplify (/ 1 1) into 1 2.318 * [backup-simplify]: Simplify (- 1) into -1 2.318 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.318 * [backup-simplify]: Simplify (log -1) into (log -1) 2.319 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.319 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.319 * [taylor]: Taking taylor expansion of 1 in N 2.319 * [backup-simplify]: Simplify 1 into 1 2.319 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.319 * [taylor]: Taking taylor expansion of N in N 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 1 into 1 2.319 * [backup-simplify]: Simplify (/ 1 1) into 1 2.319 * [backup-simplify]: Simplify (- 1) into -1 2.320 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.320 * [backup-simplify]: Simplify (log -1) into (log -1) 2.321 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.321 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 2.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.323 * [backup-simplify]: Simplify (- 0) into 0 2.323 * [backup-simplify]: Simplify (+ 1 0) into 1 2.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.324 * [backup-simplify]: Simplify -1 into -1 2.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.326 * [backup-simplify]: Simplify (- 0) into 0 2.326 * [backup-simplify]: Simplify (+ 0 0) into 0 2.329 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.329 * [backup-simplify]: Simplify -1/2 into -1/2 2.330 * [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)))) 2.330 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.330 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 2.330 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 2.330 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.330 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.330 * [taylor]: Taking taylor expansion of N in N 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 1 into 1 2.330 * [taylor]: Taking taylor expansion of 1 in N 2.330 * [backup-simplify]: Simplify 1 into 1 2.331 * [backup-simplify]: Simplify (+ 0 1) into 1 2.331 * [backup-simplify]: Simplify (log 1) into 0 2.331 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.331 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.331 * [taylor]: Taking taylor expansion of N in N 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [taylor]: Taking taylor expansion of 1 in N 2.331 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (+ 0 1) into 1 2.332 * [backup-simplify]: Simplify (log 1) into 0 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify (+ 1 0) into 1 2.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.334 * [backup-simplify]: Simplify 1 into 1 2.334 * [backup-simplify]: Simplify (+ 0 0) into 0 2.337 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.337 * [backup-simplify]: Simplify -1/2 into -1/2 2.337 * [backup-simplify]: Simplify (+ 0 0) into 0 2.343 * [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 2.343 * [backup-simplify]: Simplify 1/3 into 1/3 2.343 * [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))) 2.343 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 2.343 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 2.343 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.343 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.343 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.343 * [taylor]: Taking taylor expansion of N in N 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 1 into 1 2.344 * [backup-simplify]: Simplify (/ 1 1) into 1 2.344 * [taylor]: Taking taylor expansion of 1 in N 2.344 * [backup-simplify]: Simplify 1 into 1 2.345 * [backup-simplify]: Simplify (+ 1 0) into 1 2.345 * [backup-simplify]: Simplify (log 1) into 0 2.345 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.345 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.345 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.345 * [taylor]: Taking taylor expansion of N in N 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify 1 into 1 2.345 * [backup-simplify]: Simplify (/ 1 1) into 1 2.345 * [taylor]: Taking taylor expansion of 1 in N 2.345 * [backup-simplify]: Simplify 1 into 1 2.346 * [backup-simplify]: Simplify (+ 1 0) into 1 2.346 * [backup-simplify]: Simplify (log 1) into 0 2.347 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.347 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.348 * [backup-simplify]: Simplify (+ 0 1) into 1 2.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.349 * [backup-simplify]: Simplify 1 into 1 2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.351 * [backup-simplify]: Simplify (+ 0 0) into 0 2.354 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.354 * [backup-simplify]: Simplify -1/2 into -1/2 2.354 * [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)))) 2.354 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 2.354 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 2.354 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.354 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.354 * [taylor]: Taking taylor expansion of 1 in N 2.354 * [backup-simplify]: Simplify 1 into 1 2.354 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.354 * [taylor]: Taking taylor expansion of N in N 2.354 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify 1 into 1 2.355 * [backup-simplify]: Simplify (/ 1 1) into 1 2.355 * [backup-simplify]: Simplify (- 1) into -1 2.356 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.356 * [backup-simplify]: Simplify (log -1) into (log -1) 2.356 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.357 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.357 * [taylor]: Taking taylor expansion of 1 in N 2.357 * [backup-simplify]: Simplify 1 into 1 2.357 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.357 * [taylor]: Taking taylor expansion of N in N 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 1 into 1 2.357 * [backup-simplify]: Simplify (/ 1 1) into 1 2.357 * [backup-simplify]: Simplify (- 1) into -1 2.358 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.358 * [backup-simplify]: Simplify (log -1) into (log -1) 2.359 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.360 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 2.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (- 0) into 0 2.361 * [backup-simplify]: Simplify (+ 1 0) into 1 2.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.363 * [backup-simplify]: Simplify -1 into -1 2.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.364 * [backup-simplify]: Simplify (- 0) into 0 2.364 * [backup-simplify]: Simplify (+ 0 0) into 0 2.367 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.367 * [backup-simplify]: Simplify -1/2 into -1/2 2.368 * [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)))) 2.368 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.368 * [backup-simplify]: Simplify (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) into (- (pow (log (+ N 1)) 2) (pow (log N) 2)) 2.368 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1)) 2) (pow (log N) 2)) in (N) around 0 2.368 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1)) 2) (pow (log N) 2)) in N 2.368 * [taylor]: Taking taylor expansion of (pow (log (+ N 1)) 2) in N 2.368 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.368 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.368 * [taylor]: Taking taylor expansion of N in N 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify 1 into 1 2.369 * [taylor]: Taking taylor expansion of 1 in N 2.369 * [backup-simplify]: Simplify 1 into 1 2.372 * [backup-simplify]: Simplify (+ 0 1) into 1 2.372 * [backup-simplify]: Simplify (log 1) into 0 2.373 * [backup-simplify]: Simplify (+ 1 0) into 1 2.374 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.374 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 2.374 * [taylor]: Taking taylor expansion of (log N) in N 2.374 * [taylor]: Taking taylor expansion of N in N 2.374 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 1 into 1 2.375 * [backup-simplify]: Simplify (log 1) into 0 2.375 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.375 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1)) 2) (pow (log N) 2)) in N 2.375 * [taylor]: Taking taylor expansion of (pow (log (+ N 1)) 2) in N 2.375 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 2.375 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.376 * [taylor]: Taking taylor expansion of N in N 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [taylor]: Taking taylor expansion of 1 in N 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [backup-simplify]: Simplify (+ 0 1) into 1 2.376 * [backup-simplify]: Simplify (log 1) into 0 2.377 * [backup-simplify]: Simplify (+ 1 0) into 1 2.378 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.378 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 2.378 * [taylor]: Taking taylor expansion of (log N) in N 2.378 * [taylor]: Taking taylor expansion of N in N 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 1 into 1 2.379 * [backup-simplify]: Simplify (log 1) into 0 2.379 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.380 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.380 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.380 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 2.380 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 2.381 * [backup-simplify]: Simplify (+ 0 (- (pow (log N) 2))) into (- (pow (log N) 2)) 2.381 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 2.381 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.382 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.383 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.383 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 2.383 * [backup-simplify]: Simplify (- 0) into 0 2.384 * [backup-simplify]: Simplify (+ 0 0) into 0 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify (* 1 1) into 1 2.385 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.387 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.388 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.389 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 2.389 * [backup-simplify]: Simplify (- 0) into 0 2.390 * [backup-simplify]: Simplify (+ 1 0) into 1 2.390 * [backup-simplify]: Simplify 1 into 1 2.390 * [backup-simplify]: Simplify (+ 0 0) into 0 2.393 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.394 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 2.394 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.399 * [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 2.400 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.401 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 2.401 * [backup-simplify]: Simplify (- 0) into 0 2.402 * [backup-simplify]: Simplify (+ -1 0) into -1 2.402 * [backup-simplify]: Simplify -1 into -1 2.402 * [backup-simplify]: Simplify (+ (* -1 (pow N 3)) (+ (* 1 (pow N 2)) (- (pow (log N) 2)))) into (- (pow N 2) (+ (pow (log N) 2) (pow N 3))) 2.403 * [backup-simplify]: Simplify (- (* (log (+ (/ 1 N) 1)) (log (+ (/ 1 N) 1))) (* (log (/ 1 N)) (log (/ 1 N)))) into (- (pow (log (+ (/ 1 N) 1)) 2) (pow (log (/ 1 N)) 2)) 2.403 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1)) 2) (pow (log (/ 1 N)) 2)) in (N) around 0 2.403 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1)) 2) (pow (log (/ 1 N)) 2)) in N 2.403 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1)) 2) in N 2.403 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.403 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.403 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.403 * [taylor]: Taking taylor expansion of N in N 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 1 into 1 2.403 * [backup-simplify]: Simplify (/ 1 1) into 1 2.403 * [taylor]: Taking taylor expansion of 1 in N 2.403 * [backup-simplify]: Simplify 1 into 1 2.404 * [backup-simplify]: Simplify (+ 1 0) into 1 2.404 * [backup-simplify]: Simplify (log 1) into 0 2.405 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.405 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 2.405 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.405 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.405 * [taylor]: Taking taylor expansion of N in N 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 1 into 1 2.405 * [backup-simplify]: Simplify (/ 1 1) into 1 2.406 * [backup-simplify]: Simplify (log 1) into 0 2.406 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.406 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1)) 2) (pow (log (/ 1 N)) 2)) in N 2.406 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1)) 2) in N 2.406 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 2.406 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.406 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.406 * [taylor]: Taking taylor expansion of N in N 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 1 into 1 2.407 * [backup-simplify]: Simplify (/ 1 1) into 1 2.407 * [taylor]: Taking taylor expansion of 1 in N 2.407 * [backup-simplify]: Simplify 1 into 1 2.407 * [backup-simplify]: Simplify (+ 1 0) into 1 2.408 * [backup-simplify]: Simplify (log 1) into 0 2.408 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.408 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 2.408 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.408 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.408 * [taylor]: Taking taylor expansion of N in N 2.408 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify 1 into 1 2.409 * [backup-simplify]: Simplify (/ 1 1) into 1 2.409 * [backup-simplify]: Simplify (log 1) into 0 2.409 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.410 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.410 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.410 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.411 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.411 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.411 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 2.412 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 2.412 * [backup-simplify]: Simplify (+ (pow (log N) 2) (- (pow (log N) 2))) into 0 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.413 * [backup-simplify]: Simplify (+ 0 1) into 1 2.415 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.415 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.415 * [backup-simplify]: Simplify (+ (* (- (log N)) 1) (* 1 (- (log N)))) into (- (* 2 (log N))) 2.416 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.418 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.418 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 2.419 * [backup-simplify]: Simplify (- 0) into 0 2.419 * [backup-simplify]: Simplify (+ (- (* 2 (log N))) 0) into (- (* 2 (log N))) 2.419 * [backup-simplify]: Simplify (- (* 2 (log N))) into (- (* 2 (log N))) 2.419 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.421 * [backup-simplify]: Simplify (+ 0 0) into 0 2.424 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.424 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.425 * [backup-simplify]: Simplify (+ (* (- (log N)) -1/2) (+ (* 1 1) (* -1/2 (- (log N))))) into (+ (log N) 1) 2.425 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.429 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.430 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.430 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.430 * [backup-simplify]: Simplify (- 0) into 0 2.431 * [backup-simplify]: Simplify (+ (+ (log N) 1) 0) into (+ (log N) 1) 2.431 * [backup-simplify]: Simplify (+ (log N) 1) into (+ (log N) 1) 2.431 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.432 * [backup-simplify]: Simplify (+ 0 0) into 0 2.438 * [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 2.438 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.439 * [backup-simplify]: Simplify (+ (* (- (log N)) 1/3) (+ (* 1 -1/2) (+ (* -1/2 1) (* 1/3 (- (log N)))))) into (- (+ (* 2/3 (log N)) 1)) 2.440 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.446 * [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 2.447 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.448 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 2.448 * [backup-simplify]: Simplify (- 0) into 0 2.448 * [backup-simplify]: Simplify (+ (- (+ (* 2/3 (log N)) 1)) 0) into (- (+ (* 2/3 (log N)) 1)) 2.449 * [backup-simplify]: Simplify (- (+ (* 2/3 (log N)) 1)) into (- (+ (* 2/3 (log N)) 1)) 2.450 * [backup-simplify]: Simplify (+ (* (- (+ (* 2/3 (log (/ 1 N))) 1)) (pow (/ 1 N) 3)) (+ (* (+ (log (/ 1 N)) 1) (pow (/ 1 N) 2)) (* (- (* 2 (log (/ 1 N)))) (/ 1 N)))) into (- (+ (/ 1 (pow N 2)) (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 (pow N 3)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 3))) (* 2 (/ (log (/ 1 N)) N))))) 2.450 * [backup-simplify]: Simplify (- (* (log (+ (/ 1 (- N)) 1)) (log (+ (/ 1 (- N)) 1))) (* (log (/ 1 (- N))) (log (/ 1 (- N))))) into (- (pow (log (- 1 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) 2.450 * [approximate]: Taking taylor expansion of (- (pow (log (- 1 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in (N) around 0 2.450 * [taylor]: Taking taylor expansion of (- (pow (log (- 1 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in N 2.450 * [taylor]: Taking taylor expansion of (pow (log (- 1 (/ 1 N))) 2) in N 2.450 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.450 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.450 * [taylor]: Taking taylor expansion of 1 in N 2.450 * [backup-simplify]: Simplify 1 into 1 2.450 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.450 * [taylor]: Taking taylor expansion of N in N 2.450 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify 1 into 1 2.451 * [backup-simplify]: Simplify (/ 1 1) into 1 2.451 * [backup-simplify]: Simplify (- 1) into -1 2.452 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.452 * [backup-simplify]: Simplify (log -1) into (log -1) 2.453 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.453 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 2.453 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 2.453 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.453 * [taylor]: Taking taylor expansion of -1 in N 2.453 * [backup-simplify]: Simplify -1 into -1 2.453 * [taylor]: Taking taylor expansion of N in N 2.453 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify 1 into 1 2.454 * [backup-simplify]: Simplify (/ -1 1) into -1 2.454 * [backup-simplify]: Simplify (log -1) into (log -1) 2.455 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.455 * [taylor]: Taking taylor expansion of (- (pow (log (- 1 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in N 2.455 * [taylor]: Taking taylor expansion of (pow (log (- 1 (/ 1 N))) 2) in N 2.455 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 2.455 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.455 * [taylor]: Taking taylor expansion of 1 in N 2.455 * [backup-simplify]: Simplify 1 into 1 2.455 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.455 * [taylor]: Taking taylor expansion of N in N 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 1 into 1 2.455 * [backup-simplify]: Simplify (/ 1 1) into 1 2.456 * [backup-simplify]: Simplify (- 1) into -1 2.456 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.457 * [backup-simplify]: Simplify (log -1) into (log -1) 2.457 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.457 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 2.458 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 2.458 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.458 * [taylor]: Taking taylor expansion of -1 in N 2.458 * [backup-simplify]: Simplify -1 into -1 2.458 * [taylor]: Taking taylor expansion of N in N 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [backup-simplify]: Simplify (/ -1 1) into -1 2.458 * [backup-simplify]: Simplify (log -1) into (log -1) 2.459 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.460 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.461 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.462 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.463 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.463 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.464 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 2.465 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 2)) into (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2))) 2.467 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 2) (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2)))) into 0 2.467 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.469 * [backup-simplify]: Simplify (- 0) into 0 2.469 * [backup-simplify]: Simplify (+ 1 0) into 1 2.471 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.471 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.472 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) 2.473 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.475 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.476 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.477 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 2.477 * [backup-simplify]: Simplify (- 0) into 0 2.478 * [backup-simplify]: Simplify (+ (- (* 2 (log N)) (* 2 (log -1))) 0) into (- (* 2 (log N)) (* 2 (log -1))) 2.479 * [backup-simplify]: Simplify (- (* 2 (log N)) (* 2 (log -1))) into (- (* 2 (log N)) (* 2 (log -1))) 2.480 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.482 * [backup-simplify]: Simplify (- 0) into 0 2.482 * [backup-simplify]: Simplify (+ 0 0) into 0 2.485 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.485 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.487 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/2) (+ (* -1 -1) (* -1/2 (- (log -1) (log N))))) into (- (+ (log N) 1) (log -1)) 2.487 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.491 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.492 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.493 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 2.494 * [backup-simplify]: Simplify (- 0) into 0 2.494 * [backup-simplify]: Simplify (+ (- (+ (log N) 1) (log -1)) 0) into (- (+ (log N) 1) (log -1)) 2.495 * [backup-simplify]: Simplify (- (+ (log N) 1) (log -1)) into (- (+ (log N) 1) (log -1)) 2.495 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.497 * [backup-simplify]: Simplify (- 0) into 0 2.497 * [backup-simplify]: Simplify (+ 0 0) into 0 2.503 * [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 2.504 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.506 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/3) (+ (* -1 -1/2) (+ (* -1/2 -1) (* -1/3 (- (log -1) (log N)))))) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 2.507 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.515 * [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 2.516 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.520 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 2.520 * [backup-simplify]: Simplify (- 0) into 0 2.521 * [backup-simplify]: Simplify (+ (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 0) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 2.521 * [backup-simplify]: Simplify (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 2.523 * [backup-simplify]: Simplify (+ (* (- (+ (* 2/3 (log (/ 1 (- N)))) 1) (* 2/3 (log -1))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (log (/ 1 (- N))) 1) (log -1)) (pow (/ 1 (- N)) 2)) (* (- (* 2 (log (/ 1 (- N)))) (* 2 (log -1))) (/ 1 (- N))))) into (- (+ (* 2 (/ (log -1) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ -1 N)) (pow N 2)) (* 2/3 (/ (log -1) (pow N 3)))))) (+ (/ 1 (pow N 3)) (+ (* 2/3 (/ (log (/ -1 N)) (pow N 3))) (+ (* 2 (/ (log (/ -1 N)) N)) (/ (log -1) (pow N 2)))))) 2.524 * * * [progress]: simplifying candidates 2.524 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 11 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 12 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 16 / 88 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N))))> 2.524 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 22 / 88 ] simplifiying candidate # 2.524 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 24 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 27 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 31 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 32 / 88 ] simplifiying candidate #real (real->posit16 (log (+ N 1))))) (* (log N) (log N))) (+ (log (+ N 1)) (log N))))> 2.525 * * * * [progress]: [ 33 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 36 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 42 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 47 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 48 / 88 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N))))> 2.525 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 2.525 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 53 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 54 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 2.526 * * * * [progress]: [ 75 / 88 ] simplifiying candidate # 2.527 * * * * [progress]: [ 76 / 88 ] simplifiying candidate #real (real->posit16 (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))))) (+ (log (+ N 1)) (log N))))> 2.527 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 2.527 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 2.527 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 2.527 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 2.527 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 2.527 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 2.527 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 2.527 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 2.527 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 2.527 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 2.527 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 2.527 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 2.528 * [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))) (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))) (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))) (/ (exp (* (log (+ N 1)) (log (+ N 1)))) (exp (* (log N) (log N)))) (log (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (exp (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (* (cbrt (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (cbrt (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))))) (cbrt (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (* (* (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (sqrt (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (sqrt (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (- (pow (* (log (+ N 1)) (log (+ N 1))) 3) (pow (* (log N) (log N)) 3)) (+ (* (* (log (+ N 1)) (log (+ N 1))) (* (log (+ N 1)) (log (+ N 1)))) (+ (* (* (log N) (log N)) (* (log N) (log N))) (* (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))))) (- (* (log N) (log N))) (- (* (* (log (+ N 1)) (log (+ N 1))) (* (log (+ N 1)) (log (+ N 1)))) (* (* (log N) (log N)) (* (log N) (log N)))) (+ (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log (* (cbrt N) (cbrt N))))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log (sqrt N)))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log 1))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log (* (cbrt N) (cbrt N))) (log N))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log (sqrt N)) (log N))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log 1) (log N))) (- (* (log (+ N 1)) (log (cbrt (+ N 1)))) (* (log N) (log N))) (- (* (log (+ N 1)) (log (sqrt (+ N 1)))) (* (log N) (log N))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (- (* (log (cbrt (+ N 1))) (log (+ N 1))) (* (log N) (log N))) (- (* (log (sqrt (+ N 1))) (log (+ N 1))) (* (log N) (log N))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (- (* (log N) (log N))) (real->posit16 (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (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 (* 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 (* 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)))) (- (pow N 2) (+ (pow (log N) 2) (pow N 3))) (- (+ (/ 1 (pow N 2)) (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 (pow N 3)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 3))) (* 2 (/ (log (/ 1 N)) N))))) (- (+ (* 2 (/ (log -1) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ -1 N)) (pow N 2)) (* 2/3 (/ (log -1) (pow N 3)))))) (+ (/ 1 (pow N 3)) (+ (* 2/3 (/ (log (/ -1 N)) (pow N 3))) (+ (* 2 (/ (log (/ -1 N)) N)) (/ (log -1) (pow N 2)))))) 2.529 * * [simplify]: iteration 1: (138 enodes) 2.576 * * [simplify]: iteration 2: (315 enodes) 2.670 * * [simplify]: iteration 3: (821 enodes) 3.117 * * [simplify]: Extracting #0: cost 42 inf + 0 3.118 * * [simplify]: Extracting #1: cost 291 inf + 1 3.123 * * [simplify]: Extracting #2: cost 726 inf + 3451 3.133 * * [simplify]: Extracting #3: cost 713 inf + 16973 3.155 * * [simplify]: Extracting #4: cost 520 inf + 66003 3.216 * * [simplify]: Extracting #5: cost 160 inf + 197772 3.285 * * [simplify]: Extracting #6: cost 6 inf + 284537 3.353 * * [simplify]: Extracting #7: cost 0 inf + 283022 3.419 * * [simplify]: Extracting #8: cost 0 inf + 282702 3.507 * [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))) (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))) (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))) (exp (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N)))) (log (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N)))) (exp (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N)))) (* (cbrt (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N)))) (cbrt (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))))) (cbrt (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N)))) (* (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (* (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))))) (sqrt (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N)))) (sqrt (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N)))) (- (* (* (log (+ 1 N)) (log (+ 1 N))) (* (* (log (+ 1 N)) (log (+ 1 N))) (* (log (+ 1 N)) (log (+ 1 N))))) (* (* (log N) (log N)) (* (* (log N) (log N)) (* (log N) (log N))))) (+ (* (* (log (+ 1 N)) (log (+ 1 N))) (* (log (+ 1 N)) (log (+ 1 N)))) (* (+ (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (* (log N) (log N)))) (- (* (log N) (log N))) (* (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (+ (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N)))) (+ (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (+ (log N) (log (+ 1 N))) (- (log (+ 1 N)) (log N)) (- (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log (cbrt N)))) (* (log N) (log (cbrt N)))) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log (sqrt N)))) (* (log (+ 1 N)) (log (+ 1 N))) (- (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log (cbrt N)))) (* (log N) (log (cbrt N)))) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log (sqrt N)))) (* (log (+ 1 N)) (log (+ 1 N))) (- (* (log (+ 1 N)) (log (cbrt (+ 1 N)))) (* (log N) (log N))) (- (* (log (sqrt (+ 1 N))) (log (+ 1 N))) (* (log N) (log N))) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (- (* (log (+ 1 N)) (log (cbrt (+ 1 N)))) (* (log N) (log N))) (- (* (log (sqrt (+ 1 N))) (log (+ 1 N))) (* (log N) (log N))) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (- (* (log N) (log N))) (real->posit16 (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N)))) (+ N (* (* N N) (- (* N 1/3) 1/2))) (+ (/ 1 N) (+ (log N) (/ -1/2 (* N N)))) (+ (- (log -1) (- (log -1) (+ (log N) (/ -1/2 (* N N))))) (/ 1 N)) (+ N (* (* N N) (- (* N 1/3) 1/2))) (+ (/ 1 N) (+ (log N) (/ -1/2 (* N N)))) (+ (- (log -1) (- (log -1) (+ (log N) (/ -1/2 (* N N))))) (/ 1 N)) (+ N (* (* N N) (- (* N 1/3) 1/2))) (+ (/ 1 N) (+ (log N) (/ -1/2 (* N N)))) (+ (- (log -1) (- (log -1) (+ (log N) (/ -1/2 (* N N))))) (/ 1 N)) (- (- (* N N) (* (log N) (log N))) (* (* N N) N)) (- (- (- (/ 1 (* N N)) (/ (log N) (* N N))) (/ 1 (* (* N N) N))) (* (/ (- (log N)) N) (+ 2 (/ 2/3 (* N N))))) (- (+ (/ (log (/ -1 N)) (* N N)) (+ (/ 1 (* N N)) (* (/ (log -1) N) (+ (/ 2/3 (* N N)) 2)))) (+ (+ (/ 1 (* (* N N) N)) (* (/ (log (/ -1 N)) N) (+ (/ 2/3 (* N N)) 2))) (/ (log -1) (* N N)))) 3.513 * * * [progress]: adding candidates to table 4.359 * * [progress]: iteration 3 / 4 4.359 * * * [progress]: picking best candidate 4.380 * * * * [pick]: Picked # 4.380 * * * [progress]: localizing error 4.397 * * * [progress]: generating rewritten candidates 4.397 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.405 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.439 * * * [progress]: generating series expansions 4.439 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.439 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 4.439 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 4.439 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 4.439 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.439 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.439 * [taylor]: Taking taylor expansion of N in N 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify 1 into 1 4.439 * [taylor]: Taking taylor expansion of 1 in N 4.439 * [backup-simplify]: Simplify 1 into 1 4.439 * [taylor]: Taking taylor expansion of N in N 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify 1 into 1 4.440 * [backup-simplify]: Simplify (+ 0 1) into 1 4.441 * [backup-simplify]: Simplify (/ 1 1) into 1 4.441 * [backup-simplify]: Simplify (log 1) into 0 4.441 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 4.441 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.441 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.441 * [taylor]: Taking taylor expansion of N in N 4.441 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify 1 into 1 4.441 * [taylor]: Taking taylor expansion of 1 in N 4.441 * [backup-simplify]: Simplify 1 into 1 4.441 * [taylor]: Taking taylor expansion of N in N 4.441 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify 1 into 1 4.442 * [backup-simplify]: Simplify (+ 0 1) into 1 4.442 * [backup-simplify]: Simplify (/ 1 1) into 1 4.443 * [backup-simplify]: Simplify (log 1) into 0 4.443 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.443 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.444 * [backup-simplify]: Simplify (+ 1 0) into 1 4.445 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 4.446 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.446 * [backup-simplify]: Simplify 1 into 1 4.447 * [backup-simplify]: Simplify (+ 0 0) into 0 4.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.450 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.450 * [backup-simplify]: Simplify -1/2 into -1/2 4.451 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 4.451 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 4.451 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 4.451 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 4.451 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.451 * [taylor]: Taking taylor expansion of N in N 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify 1 into 1 4.451 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.451 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.451 * [taylor]: Taking taylor expansion of N in N 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify 1 into 1 4.452 * [backup-simplify]: Simplify (/ 1 1) into 1 4.452 * [taylor]: Taking taylor expansion of 1 in N 4.452 * [backup-simplify]: Simplify 1 into 1 4.452 * [backup-simplify]: Simplify (+ 1 0) into 1 4.453 * [backup-simplify]: Simplify (* 0 1) into 0 4.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.454 * [backup-simplify]: Simplify (+ 0 1) into 1 4.455 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.455 * [backup-simplify]: Simplify (log 1) into 0 4.455 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 4.455 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.455 * [taylor]: Taking taylor expansion of N in N 4.455 * [backup-simplify]: Simplify 0 into 0 4.455 * [backup-simplify]: Simplify 1 into 1 4.455 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.455 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.455 * [taylor]: Taking taylor expansion of N in N 4.455 * [backup-simplify]: Simplify 0 into 0 4.455 * [backup-simplify]: Simplify 1 into 1 4.456 * [backup-simplify]: Simplify (/ 1 1) into 1 4.456 * [taylor]: Taking taylor expansion of 1 in N 4.456 * [backup-simplify]: Simplify 1 into 1 4.456 * [backup-simplify]: Simplify (+ 1 0) into 1 4.457 * [backup-simplify]: Simplify (* 0 1) into 0 4.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.458 * [backup-simplify]: Simplify (+ 0 1) into 1 4.458 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.459 * [backup-simplify]: Simplify (log 1) into 0 4.459 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.460 * [backup-simplify]: Simplify (+ 0 0) into 0 4.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.462 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.462 * [backup-simplify]: Simplify 1 into 1 4.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.464 * [backup-simplify]: Simplify (+ 0 0) into 0 4.465 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 4.468 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.468 * [backup-simplify]: Simplify -1/2 into -1/2 4.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.470 * [backup-simplify]: Simplify (+ 0 0) into 0 4.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 4.475 * [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 4.475 * [backup-simplify]: Simplify 1/3 into 1/3 4.475 * [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)))) 4.475 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 4.475 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 4.475 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 4.475 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.475 * [taylor]: Taking taylor expansion of -1 in N 4.475 * [backup-simplify]: Simplify -1 into -1 4.475 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.475 * [taylor]: Taking taylor expansion of N in N 4.475 * [backup-simplify]: Simplify 0 into 0 4.475 * [backup-simplify]: Simplify 1 into 1 4.475 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.475 * [taylor]: Taking taylor expansion of 1 in N 4.475 * [backup-simplify]: Simplify 1 into 1 4.475 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.475 * [taylor]: Taking taylor expansion of N in N 4.475 * [backup-simplify]: Simplify 0 into 0 4.475 * [backup-simplify]: Simplify 1 into 1 4.476 * [backup-simplify]: Simplify (/ 1 1) into 1 4.476 * [backup-simplify]: Simplify (- 1) into -1 4.476 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.476 * [backup-simplify]: Simplify (* 0 -1) into 0 4.477 * [backup-simplify]: Simplify (* -1 0) into 0 4.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.477 * [backup-simplify]: Simplify (- 0) into 0 4.478 * [backup-simplify]: Simplify (+ 1 0) into 1 4.478 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.479 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.479 * [backup-simplify]: Simplify (log 1) into 0 4.479 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 4.479 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.479 * [taylor]: Taking taylor expansion of -1 in N 4.479 * [backup-simplify]: Simplify -1 into -1 4.479 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.479 * [taylor]: Taking taylor expansion of N in N 4.479 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify 1 into 1 4.479 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.479 * [taylor]: Taking taylor expansion of 1 in N 4.479 * [backup-simplify]: Simplify 1 into 1 4.479 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.479 * [taylor]: Taking taylor expansion of N in N 4.479 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify 1 into 1 4.479 * [backup-simplify]: Simplify (/ 1 1) into 1 4.480 * [backup-simplify]: Simplify (- 1) into -1 4.480 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.480 * [backup-simplify]: Simplify (* 0 -1) into 0 4.481 * [backup-simplify]: Simplify (* -1 0) into 0 4.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.481 * [backup-simplify]: Simplify (- 0) into 0 4.482 * [backup-simplify]: Simplify (+ 1 0) into 1 4.482 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.482 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.483 * [backup-simplify]: Simplify (log 1) into 0 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.483 * [backup-simplify]: Simplify (- 0) into 0 4.484 * [backup-simplify]: Simplify (+ 0 0) into 0 4.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.485 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.486 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 4.486 * [backup-simplify]: Simplify -1 into -1 4.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.486 * [backup-simplify]: Simplify (- 0) into 0 4.487 * [backup-simplify]: Simplify (+ 0 0) into 0 4.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 4.488 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 4.490 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.490 * [backup-simplify]: Simplify -1/2 into -1/2 4.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.491 * [backup-simplify]: Simplify (- 0) into 0 4.491 * [backup-simplify]: Simplify (+ 0 0) into 0 4.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 4.493 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 4.496 * [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 4.496 * [backup-simplify]: Simplify -1/3 into -1/3 4.496 * [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)))) 4.496 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.496 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 4.496 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 4.496 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.496 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.496 * [taylor]: Taking taylor expansion of N in N 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify 1 into 1 4.496 * [taylor]: Taking taylor expansion of 1 in N 4.496 * [backup-simplify]: Simplify 1 into 1 4.496 * [taylor]: Taking taylor expansion of N in N 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify 1 into 1 4.497 * [backup-simplify]: Simplify (+ 0 1) into 1 4.497 * [backup-simplify]: Simplify (/ 1 1) into 1 4.497 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.497 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.497 * [taylor]: Taking taylor expansion of N in N 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify 1 into 1 4.497 * [taylor]: Taking taylor expansion of 1 in N 4.497 * [backup-simplify]: Simplify 1 into 1 4.497 * [taylor]: Taking taylor expansion of N in N 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify 1 into 1 4.497 * [backup-simplify]: Simplify (+ 0 1) into 1 4.497 * [backup-simplify]: Simplify (/ 1 1) into 1 4.498 * [backup-simplify]: Simplify 1 into 1 4.498 * [backup-simplify]: Simplify (+ 1 0) into 1 4.498 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 4.498 * [backup-simplify]: Simplify 1 into 1 4.499 * [backup-simplify]: Simplify (+ 0 0) into 0 4.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.499 * [backup-simplify]: Simplify 0 into 0 4.499 * [backup-simplify]: Simplify (+ 0 0) into 0 4.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify (+ 0 0) into 0 4.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify (+ 0 0) into 0 4.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify (+ 0 0) into 0 4.503 * [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 4.503 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify (+ 0 0) into 0 4.505 * [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 4.505 * [backup-simplify]: Simplify 0 into 0 4.505 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 4.505 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 4.505 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 4.505 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.505 * [taylor]: Taking taylor expansion of N in N 4.505 * [backup-simplify]: Simplify 0 into 0 4.505 * [backup-simplify]: Simplify 1 into 1 4.505 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.505 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.505 * [taylor]: Taking taylor expansion of N in N 4.505 * [backup-simplify]: Simplify 0 into 0 4.505 * [backup-simplify]: Simplify 1 into 1 4.506 * [backup-simplify]: Simplify (/ 1 1) into 1 4.506 * [taylor]: Taking taylor expansion of 1 in N 4.506 * [backup-simplify]: Simplify 1 into 1 4.506 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.506 * [taylor]: Taking taylor expansion of N in N 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 1 into 1 4.506 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.506 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.506 * [taylor]: Taking taylor expansion of N in N 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 1 into 1 4.507 * [backup-simplify]: Simplify (/ 1 1) into 1 4.507 * [taylor]: Taking taylor expansion of 1 in N 4.507 * [backup-simplify]: Simplify 1 into 1 4.507 * [backup-simplify]: Simplify (+ 1 0) into 1 4.507 * [backup-simplify]: Simplify (* 0 1) into 0 4.508 * [backup-simplify]: Simplify 0 into 0 4.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.509 * [backup-simplify]: Simplify (+ 0 1) into 1 4.509 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.509 * [backup-simplify]: Simplify 1 into 1 4.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.510 * [backup-simplify]: Simplify (+ 0 0) into 0 4.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.511 * [backup-simplify]: Simplify 1 into 1 4.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.512 * [backup-simplify]: Simplify (+ 0 0) into 0 4.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 4.512 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.513 * [backup-simplify]: Simplify (+ 0 0) into 0 4.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 4.514 * [backup-simplify]: Simplify 0 into 0 4.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.515 * [backup-simplify]: Simplify (+ 0 0) into 0 4.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 4.515 * [backup-simplify]: Simplify 0 into 0 4.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.516 * [backup-simplify]: Simplify (+ 0 0) into 0 4.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 4.517 * [backup-simplify]: Simplify 0 into 0 4.518 * [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 4.518 * [backup-simplify]: Simplify (+ 0 0) into 0 4.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 4.519 * [backup-simplify]: Simplify 0 into 0 4.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.520 * [backup-simplify]: Simplify (+ 0 0) into 0 4.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 4.521 * [backup-simplify]: Simplify 0 into 0 4.521 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 4.522 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 4.522 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 4.522 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.522 * [taylor]: Taking taylor expansion of -1 in N 4.522 * [backup-simplify]: Simplify -1 into -1 4.522 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.522 * [taylor]: Taking taylor expansion of N in N 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify 1 into 1 4.522 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.522 * [taylor]: Taking taylor expansion of 1 in N 4.522 * [backup-simplify]: Simplify 1 into 1 4.522 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.522 * [taylor]: Taking taylor expansion of N in N 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify 1 into 1 4.522 * [backup-simplify]: Simplify (/ 1 1) into 1 4.522 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.522 * [taylor]: Taking taylor expansion of -1 in N 4.522 * [backup-simplify]: Simplify -1 into -1 4.522 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.522 * [taylor]: Taking taylor expansion of N in N 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify 1 into 1 4.522 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.522 * [taylor]: Taking taylor expansion of 1 in N 4.522 * [backup-simplify]: Simplify 1 into 1 4.522 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.522 * [taylor]: Taking taylor expansion of N in N 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify 1 into 1 4.523 * [backup-simplify]: Simplify (/ 1 1) into 1 4.523 * [backup-simplify]: Simplify (- 1) into -1 4.523 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.523 * [backup-simplify]: Simplify (* 0 -1) into 0 4.524 * [backup-simplify]: Simplify (* -1 0) into 0 4.524 * [backup-simplify]: Simplify 0 into 0 4.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.525 * [backup-simplify]: Simplify (- 0) into 0 4.525 * [backup-simplify]: Simplify (+ 1 0) into 1 4.525 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.526 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.526 * [backup-simplify]: Simplify 1 into 1 4.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.526 * [backup-simplify]: Simplify (- 0) into 0 4.527 * [backup-simplify]: Simplify (+ 0 0) into 0 4.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.528 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.528 * [backup-simplify]: Simplify -1 into -1 4.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.529 * [backup-simplify]: Simplify (- 0) into 0 4.529 * [backup-simplify]: Simplify (+ 0 0) into 0 4.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 4.531 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 4.531 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.531 * [backup-simplify]: Simplify (- 0) into 0 4.532 * [backup-simplify]: Simplify (+ 0 0) into 0 4.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 4.533 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 4.534 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.534 * [backup-simplify]: Simplify (- 0) into 0 4.535 * [backup-simplify]: Simplify (+ 0 0) into 0 4.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 4.537 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 4.537 * [backup-simplify]: Simplify 0 into 0 4.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.538 * [backup-simplify]: Simplify (- 0) into 0 4.540 * [backup-simplify]: Simplify (+ 0 0) into 0 4.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 4.543 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 4.543 * [backup-simplify]: Simplify 0 into 0 4.544 * [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 4.544 * [backup-simplify]: Simplify (- 0) into 0 4.544 * [backup-simplify]: Simplify (+ 0 0) into 0 4.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 4.549 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 4.549 * [backup-simplify]: Simplify 0 into 0 4.550 * [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 4.550 * [backup-simplify]: Simplify (- 0) into 0 4.551 * [backup-simplify]: Simplify (+ 0 0) into 0 4.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 4.556 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 4.557 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 4.557 * * * [progress]: simplifying candidates 4.557 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 4.557 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 4.557 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 4.557 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 4.557 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 4.557 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 4.557 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 4.557 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 4.557 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 4.557 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 4.558 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 4.558 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 4.559 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 4.560 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 4.560 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 4.560 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 4.560 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 4.560 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 4.560 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 4.560 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 4.560 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 4.560 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 4.560 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 4.560 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 4.560 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 4.560 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 4.560 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 4.561 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 4.561 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 4.561 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 4.561 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 4.561 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 4.561 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 4.561 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 4.561 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 4.562 * [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 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log 1) (log (/ (+ N 1) N)) (log (+ N 1)) (log (/ 1 N)) (log (+ N 1)) (log 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 1)) (log N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (/ (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) 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 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ N 1)) (sqrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1) (/ (cbrt (+ N 1)) N) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) 1) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (/ (+ N 1) 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (* N (+ (* N N) (- (* 1 1) (* N 1)))) (* N (- N 1)) (real->posit16 (/ (+ N 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)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 4.564 * * [simplify]: iteration 1: (102 enodes) 4.611 * * [simplify]: iteration 2: (225 enodes) 4.664 * * [simplify]: iteration 3: (508 enodes) 5.131 * * [simplify]: iteration 4: (1555 enodes) 7.330 * * [simplify]: Extracting #0: cost 64 inf + 0 7.333 * * [simplify]: Extracting #1: cost 621 inf + 2 7.344 * * [simplify]: Extracting #2: cost 1311 inf + 19747 7.384 * * [simplify]: Extracting #3: cost 864 inf + 116587 7.470 * * [simplify]: Extracting #4: cost 258 inf + 243399 7.559 * * [simplify]: Extracting #5: cost 11 inf + 327444 7.659 * * [simplify]: Extracting #6: cost 0 inf + 331859 7.756 * [simplify]: Simplified to: (log (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N))))) (log (cbrt (+ 1 (/ 1 N)))) (log (sqrt (+ 1 (/ 1 N)))) (log (sqrt (+ 1 (/ 1 N)))) (+ (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (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)) (* -2 (log (cbrt N))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (+ 1 (/ 1 N))) (* -2 (log (cbrt N))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (+ 1 (/ 1 N))) 0 (log (+ 1 (/ 1 N))) (log (+ 1 N)) (- (log N)) (log (+ 1 N)) (log N) (log (+ 1 (/ 1 N))) (log (log (+ 1 (/ 1 N)))) (+ 1 (/ 1 N)) (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (log (+ 1 (/ 1 N))))) (cbrt (log (+ 1 (/ 1 N)))) (* (* (log (+ 1 (/ 1 N))) (log (+ 1 (/ 1 N)))) (log (+ 1 (/ 1 N)))) (sqrt (log (+ 1 (/ 1 N)))) (sqrt (log (+ 1 (/ 1 N)))) (real->posit16 (log (+ 1 (/ 1 N)))) (log (+ 1 (/ 1 N))) (log (+ 1 (/ 1 N))) (exp (+ 1 (/ 1 N))) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (+ 1 (/ 1 N))) (sqrt (+ 1 (/ 1 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) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (+ 1 (/ 1 N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (+ 1 (/ 1 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 N))) (* (+ N -1) N) (real->posit16 (+ 1 (/ 1 N))) (- N (+ (* N (* 1/2 N)) (log N))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* N (* N N))))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* N (* N N))))) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) 7.761 * * * [progress]: adding candidates to table 8.242 * * [progress]: iteration 4 / 4 8.242 * * * [progress]: picking best candidate 8.253 * * * * [pick]: Picked # 8.254 * * * [progress]: localizing error 8.341 * * * [progress]: generating rewritten candidates 8.341 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 8.348 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) 8.354 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1) 8.361 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1 2) 8.365 * * * [progress]: generating series expansions 8.365 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 8.365 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 8.365 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 8.365 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 8.365 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.365 * [taylor]: Taking taylor expansion of N in N 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify 1 into 1 8.365 * [taylor]: Taking taylor expansion of 1 in N 8.365 * [backup-simplify]: Simplify 1 into 1 8.366 * [backup-simplify]: Simplify (+ 0 1) into 1 8.366 * [backup-simplify]: Simplify (log 1) into 0 8.366 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 8.366 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.366 * [taylor]: Taking taylor expansion of N in N 8.366 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify 1 into 1 8.366 * [taylor]: Taking taylor expansion of 1 in N 8.366 * [backup-simplify]: Simplify 1 into 1 8.367 * [backup-simplify]: Simplify (+ 0 1) into 1 8.367 * [backup-simplify]: Simplify (log 1) into 0 8.367 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify (+ 1 0) into 1 8.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.368 * [backup-simplify]: Simplify 1 into 1 8.368 * [backup-simplify]: Simplify (+ 0 0) into 0 8.370 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.370 * [backup-simplify]: Simplify -1/2 into -1/2 8.370 * [backup-simplify]: Simplify (+ 0 0) into 0 8.373 * [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 8.373 * [backup-simplify]: Simplify 1/3 into 1/3 8.373 * [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))) 8.373 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 8.374 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 8.374 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 8.374 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.374 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.374 * [taylor]: Taking taylor expansion of N in N 8.374 * [backup-simplify]: Simplify 0 into 0 8.374 * [backup-simplify]: Simplify 1 into 1 8.374 * [backup-simplify]: Simplify (/ 1 1) into 1 8.374 * [taylor]: Taking taylor expansion of 1 in N 8.374 * [backup-simplify]: Simplify 1 into 1 8.374 * [backup-simplify]: Simplify (+ 1 0) into 1 8.375 * [backup-simplify]: Simplify (log 1) into 0 8.375 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 8.375 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.375 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.375 * [taylor]: Taking taylor expansion of N in N 8.375 * [backup-simplify]: Simplify 0 into 0 8.375 * [backup-simplify]: Simplify 1 into 1 8.375 * [backup-simplify]: Simplify (/ 1 1) into 1 8.375 * [taylor]: Taking taylor expansion of 1 in N 8.375 * [backup-simplify]: Simplify 1 into 1 8.375 * [backup-simplify]: Simplify (+ 1 0) into 1 8.376 * [backup-simplify]: Simplify (log 1) into 0 8.376 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.376 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 8.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.377 * [backup-simplify]: Simplify (+ 0 1) into 1 8.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.378 * [backup-simplify]: Simplify 1 into 1 8.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.378 * [backup-simplify]: Simplify (+ 0 0) into 0 8.380 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.380 * [backup-simplify]: Simplify -1/2 into -1/2 8.380 * [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)))) 8.380 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 8.380 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 8.380 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 8.380 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.380 * [taylor]: Taking taylor expansion of 1 in N 8.380 * [backup-simplify]: Simplify 1 into 1 8.380 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.380 * [taylor]: Taking taylor expansion of N in N 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify 1 into 1 8.381 * [backup-simplify]: Simplify (/ 1 1) into 1 8.381 * [backup-simplify]: Simplify (- 1) into -1 8.381 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.381 * [backup-simplify]: Simplify (log -1) into (log -1) 8.381 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 8.382 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.382 * [taylor]: Taking taylor expansion of 1 in N 8.382 * [backup-simplify]: Simplify 1 into 1 8.382 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.382 * [taylor]: Taking taylor expansion of N in N 8.382 * [backup-simplify]: Simplify 0 into 0 8.382 * [backup-simplify]: Simplify 1 into 1 8.382 * [backup-simplify]: Simplify (/ 1 1) into 1 8.382 * [backup-simplify]: Simplify (- 1) into -1 8.382 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.383 * [backup-simplify]: Simplify (log -1) into (log -1) 8.383 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.384 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 8.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.384 * [backup-simplify]: Simplify (- 0) into 0 8.385 * [backup-simplify]: Simplify (+ 1 0) into 1 8.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.385 * [backup-simplify]: Simplify -1 into -1 8.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.386 * [backup-simplify]: Simplify (- 0) into 0 8.386 * [backup-simplify]: Simplify (+ 0 0) into 0 8.388 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.388 * [backup-simplify]: Simplify -1/2 into -1/2 8.388 * [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)))) 8.388 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2) 8.389 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 8.389 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 8.389 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 8.389 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.389 * [taylor]: Taking taylor expansion of N in N 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 1 into 1 8.389 * [taylor]: Taking taylor expansion of 1 in N 8.389 * [backup-simplify]: Simplify 1 into 1 8.389 * [backup-simplify]: Simplify (+ 0 1) into 1 8.389 * [backup-simplify]: Simplify (log 1) into 0 8.389 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 8.389 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.389 * [taylor]: Taking taylor expansion of N in N 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 1 into 1 8.389 * [taylor]: Taking taylor expansion of 1 in N 8.389 * [backup-simplify]: Simplify 1 into 1 8.390 * [backup-simplify]: Simplify (+ 0 1) into 1 8.390 * [backup-simplify]: Simplify (log 1) into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify (+ 1 0) into 1 8.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.391 * [backup-simplify]: Simplify 1 into 1 8.391 * [backup-simplify]: Simplify (+ 0 0) into 0 8.393 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.393 * [backup-simplify]: Simplify -1/2 into -1/2 8.393 * [backup-simplify]: Simplify (+ 0 0) into 0 8.396 * [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 8.396 * [backup-simplify]: Simplify 1/3 into 1/3 8.397 * [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))) 8.397 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 8.397 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 8.397 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 8.397 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.397 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.397 * [taylor]: Taking taylor expansion of N in N 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 1 into 1 8.397 * [backup-simplify]: Simplify (/ 1 1) into 1 8.397 * [taylor]: Taking taylor expansion of 1 in N 8.397 * [backup-simplify]: Simplify 1 into 1 8.398 * [backup-simplify]: Simplify (+ 1 0) into 1 8.398 * [backup-simplify]: Simplify (log 1) into 0 8.398 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 8.398 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.398 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.398 * [taylor]: Taking taylor expansion of N in N 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify 1 into 1 8.398 * [backup-simplify]: Simplify (/ 1 1) into 1 8.398 * [taylor]: Taking taylor expansion of 1 in N 8.398 * [backup-simplify]: Simplify 1 into 1 8.399 * [backup-simplify]: Simplify (+ 1 0) into 1 8.399 * [backup-simplify]: Simplify (log 1) into 0 8.399 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.399 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 8.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.400 * [backup-simplify]: Simplify (+ 0 1) into 1 8.401 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.401 * [backup-simplify]: Simplify 1 into 1 8.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.402 * [backup-simplify]: Simplify (+ 0 0) into 0 8.404 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.404 * [backup-simplify]: Simplify -1/2 into -1/2 8.404 * [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)))) 8.404 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 8.404 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 8.404 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 8.404 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.404 * [taylor]: Taking taylor expansion of 1 in N 8.404 * [backup-simplify]: Simplify 1 into 1 8.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.404 * [taylor]: Taking taylor expansion of N in N 8.404 * [backup-simplify]: Simplify 0 into 0 8.404 * [backup-simplify]: Simplify 1 into 1 8.404 * [backup-simplify]: Simplify (/ 1 1) into 1 8.405 * [backup-simplify]: Simplify (- 1) into -1 8.405 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.405 * [backup-simplify]: Simplify (log -1) into (log -1) 8.405 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 8.405 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.405 * [taylor]: Taking taylor expansion of 1 in N 8.405 * [backup-simplify]: Simplify 1 into 1 8.405 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.405 * [taylor]: Taking taylor expansion of N in N 8.405 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify 1 into 1 8.406 * [backup-simplify]: Simplify (/ 1 1) into 1 8.406 * [backup-simplify]: Simplify (- 1) into -1 8.406 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.406 * [backup-simplify]: Simplify (log -1) into (log -1) 8.407 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.407 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 8.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.408 * [backup-simplify]: Simplify (- 0) into 0 8.408 * [backup-simplify]: Simplify (+ 1 0) into 1 8.409 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.409 * [backup-simplify]: Simplify -1 into -1 8.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.410 * [backup-simplify]: Simplify (- 0) into 0 8.410 * [backup-simplify]: Simplify (+ 0 0) into 0 8.412 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.412 * [backup-simplify]: Simplify -1/2 into -1/2 8.412 * [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)))) 8.412 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1) 8.412 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 8.412 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 8.412 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 8.412 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.412 * [taylor]: Taking taylor expansion of N in N 8.412 * [backup-simplify]: Simplify 0 into 0 8.412 * [backup-simplify]: Simplify 1 into 1 8.412 * [taylor]: Taking taylor expansion of 1 in N 8.412 * [backup-simplify]: Simplify 1 into 1 8.413 * [backup-simplify]: Simplify (+ 0 1) into 1 8.413 * [backup-simplify]: Simplify (log 1) into 0 8.413 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 8.413 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.413 * [taylor]: Taking taylor expansion of N in N 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 1 into 1 8.413 * [taylor]: Taking taylor expansion of 1 in N 8.413 * [backup-simplify]: Simplify 1 into 1 8.413 * [backup-simplify]: Simplify (+ 0 1) into 1 8.414 * [backup-simplify]: Simplify (log 1) into 0 8.414 * [backup-simplify]: Simplify 0 into 0 8.414 * [backup-simplify]: Simplify (+ 1 0) into 1 8.415 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.415 * [backup-simplify]: Simplify 1 into 1 8.415 * [backup-simplify]: Simplify (+ 0 0) into 0 8.417 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.417 * [backup-simplify]: Simplify -1/2 into -1/2 8.417 * [backup-simplify]: Simplify (+ 0 0) into 0 8.420 * [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 8.420 * [backup-simplify]: Simplify 1/3 into 1/3 8.420 * [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))) 8.420 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 8.420 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 8.420 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 8.420 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.420 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.420 * [taylor]: Taking taylor expansion of N in N 8.420 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify 1 into 1 8.420 * [backup-simplify]: Simplify (/ 1 1) into 1 8.420 * [taylor]: Taking taylor expansion of 1 in N 8.421 * [backup-simplify]: Simplify 1 into 1 8.421 * [backup-simplify]: Simplify (+ 1 0) into 1 8.421 * [backup-simplify]: Simplify (log 1) into 0 8.421 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 8.421 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.421 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.421 * [taylor]: Taking taylor expansion of N in N 8.421 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify 1 into 1 8.421 * [backup-simplify]: Simplify (/ 1 1) into 1 8.421 * [taylor]: Taking taylor expansion of 1 in N 8.422 * [backup-simplify]: Simplify 1 into 1 8.422 * [backup-simplify]: Simplify (+ 1 0) into 1 8.422 * [backup-simplify]: Simplify (log 1) into 0 8.422 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.422 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 8.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.426 * [backup-simplify]: Simplify (+ 0 1) into 1 8.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.427 * [backup-simplify]: Simplify 1 into 1 8.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.429 * [backup-simplify]: Simplify (+ 0 0) into 0 8.432 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.432 * [backup-simplify]: Simplify -1/2 into -1/2 8.432 * [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)))) 8.432 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 8.432 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 8.432 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 8.432 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.432 * [taylor]: Taking taylor expansion of 1 in N 8.432 * [backup-simplify]: Simplify 1 into 1 8.432 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.433 * [taylor]: Taking taylor expansion of N in N 8.433 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify 1 into 1 8.433 * [backup-simplify]: Simplify (/ 1 1) into 1 8.433 * [backup-simplify]: Simplify (- 1) into -1 8.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.434 * [backup-simplify]: Simplify (log -1) into (log -1) 8.434 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 8.434 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.434 * [taylor]: Taking taylor expansion of 1 in N 8.434 * [backup-simplify]: Simplify 1 into 1 8.434 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.434 * [taylor]: Taking taylor expansion of N in N 8.434 * [backup-simplify]: Simplify 0 into 0 8.434 * [backup-simplify]: Simplify 1 into 1 8.434 * [backup-simplify]: Simplify (/ 1 1) into 1 8.435 * [backup-simplify]: Simplify (- 1) into -1 8.435 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.435 * [backup-simplify]: Simplify (log -1) into (log -1) 8.436 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.436 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 8.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.437 * [backup-simplify]: Simplify (- 0) into 0 8.437 * [backup-simplify]: Simplify (+ 1 0) into 1 8.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.438 * [backup-simplify]: Simplify -1 into -1 8.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.438 * [backup-simplify]: Simplify (- 0) into 0 8.439 * [backup-simplify]: Simplify (+ 0 0) into 0 8.440 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.440 * [backup-simplify]: Simplify -1/2 into -1/2 8.441 * [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)))) 8.441 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1 2) 8.441 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 8.441 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 8.441 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 8.441 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.441 * [taylor]: Taking taylor expansion of N in N 8.441 * [backup-simplify]: Simplify 0 into 0 8.441 * [backup-simplify]: Simplify 1 into 1 8.441 * [taylor]: Taking taylor expansion of 1 in N 8.441 * [backup-simplify]: Simplify 1 into 1 8.441 * [backup-simplify]: Simplify (+ 0 1) into 1 8.441 * [backup-simplify]: Simplify (log 1) into 0 8.442 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 8.442 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.442 * [taylor]: Taking taylor expansion of N in N 8.442 * [backup-simplify]: Simplify 0 into 0 8.442 * [backup-simplify]: Simplify 1 into 1 8.442 * [taylor]: Taking taylor expansion of 1 in N 8.442 * [backup-simplify]: Simplify 1 into 1 8.442 * [backup-simplify]: Simplify (+ 0 1) into 1 8.442 * [backup-simplify]: Simplify (log 1) into 0 8.442 * [backup-simplify]: Simplify 0 into 0 8.442 * [backup-simplify]: Simplify (+ 1 0) into 1 8.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.443 * [backup-simplify]: Simplify 1 into 1 8.443 * [backup-simplify]: Simplify (+ 0 0) into 0 8.445 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.445 * [backup-simplify]: Simplify -1/2 into -1/2 8.445 * [backup-simplify]: Simplify (+ 0 0) into 0 8.448 * [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 8.448 * [backup-simplify]: Simplify 1/3 into 1/3 8.448 * [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))) 8.448 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 8.448 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 8.448 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 8.448 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.448 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.448 * [taylor]: Taking taylor expansion of N in N 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify 1 into 1 8.449 * [backup-simplify]: Simplify (/ 1 1) into 1 8.449 * [taylor]: Taking taylor expansion of 1 in N 8.449 * [backup-simplify]: Simplify 1 into 1 8.449 * [backup-simplify]: Simplify (+ 1 0) into 1 8.449 * [backup-simplify]: Simplify (log 1) into 0 8.449 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 8.449 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.449 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.449 * [taylor]: Taking taylor expansion of N in N 8.449 * [backup-simplify]: Simplify 0 into 0 8.449 * [backup-simplify]: Simplify 1 into 1 8.450 * [backup-simplify]: Simplify (/ 1 1) into 1 8.450 * [taylor]: Taking taylor expansion of 1 in N 8.450 * [backup-simplify]: Simplify 1 into 1 8.450 * [backup-simplify]: Simplify (+ 1 0) into 1 8.450 * [backup-simplify]: Simplify (log 1) into 0 8.450 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.451 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 8.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.451 * [backup-simplify]: Simplify (+ 0 1) into 1 8.452 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.452 * [backup-simplify]: Simplify 1 into 1 8.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.453 * [backup-simplify]: Simplify (+ 0 0) into 0 8.454 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.454 * [backup-simplify]: Simplify -1/2 into -1/2 8.454 * [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)))) 8.455 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 8.455 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 8.455 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 8.455 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.455 * [taylor]: Taking taylor expansion of 1 in N 8.455 * [backup-simplify]: Simplify 1 into 1 8.455 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.455 * [taylor]: Taking taylor expansion of N in N 8.455 * [backup-simplify]: Simplify 0 into 0 8.455 * [backup-simplify]: Simplify 1 into 1 8.455 * [backup-simplify]: Simplify (/ 1 1) into 1 8.455 * [backup-simplify]: Simplify (- 1) into -1 8.456 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.456 * [backup-simplify]: Simplify (log -1) into (log -1) 8.456 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 8.456 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.456 * [taylor]: Taking taylor expansion of 1 in N 8.456 * [backup-simplify]: Simplify 1 into 1 8.456 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.456 * [taylor]: Taking taylor expansion of N in N 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify 1 into 1 8.456 * [backup-simplify]: Simplify (/ 1 1) into 1 8.456 * [backup-simplify]: Simplify (- 1) into -1 8.457 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.457 * [backup-simplify]: Simplify (log -1) into (log -1) 8.457 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 8.458 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 8.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.458 * [backup-simplify]: Simplify (- 0) into 0 8.459 * [backup-simplify]: Simplify (+ 1 0) into 1 8.459 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 8.459 * [backup-simplify]: Simplify -1 into -1 8.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.460 * [backup-simplify]: Simplify (- 0) into 0 8.460 * [backup-simplify]: Simplify (+ 0 0) into 0 8.462 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 8.462 * [backup-simplify]: Simplify -1/2 into -1/2 8.462 * [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)))) 8.463 * * * [progress]: simplifying candidates 8.463 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N))))> 8.463 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 8.463 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (log (+ N 1))))) (* (log N) (log N))))) (+ (log (+ N 1)) (log N))))> 8.464 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 8.464 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log (+ N 1))) (* (log N) (log N))))) (+ (log (+ N 1)) (log N))))> 8.465 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 8.465 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 8.466 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 8.466 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 8.466 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (log (+ N 1))))) (* (log N) (log N))))) (cbrt (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))))) (+ (log (+ N 1)) (log N))))> 8.466 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 8.466 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 8.466 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 8.466 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 8.466 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 8.466 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 8.467 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 8.467 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 8.467 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 8.467 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 8.467 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 8.467 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 8.468 * [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))) (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))) (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))) (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 (* 1/3 (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 (* 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 (* 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 (* 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)))) 8.470 * * [simplify]: iteration 1: (55 enodes) 8.495 * * [simplify]: iteration 2: (105 enodes) 8.516 * * [simplify]: iteration 3: (212 enodes) 8.596 * * [simplify]: iteration 4: (442 enodes) 8.742 * * [simplify]: iteration 5: (1134 enodes) 10.099 * * [simplify]: Extracting #0: cost 18 inf + 0 10.100 * * [simplify]: Extracting #1: cost 245 inf + 1 10.108 * * [simplify]: Extracting #2: cost 766 inf + 767 10.118 * * [simplify]: Extracting #3: cost 777 inf + 9849 10.143 * * [simplify]: Extracting #4: cost 418 inf + 69408 10.199 * * [simplify]: Extracting #5: cost 55 inf + 157977 10.266 * * [simplify]: Extracting #6: cost 2 inf + 180550 10.331 * * [simplify]: Extracting #7: cost 0 inf + 181980 10.375 * [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 (- (* N N) (- N 1))) (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))) (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 (- (* N N) (- N 1))) (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))) (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 (- (* N N) (- N 1))) (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))) (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 (- (* N N) (- N 1))) (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))) (+ (* (+ (* N 1/3) -1/2) (* N N)) N) (+ (- (/ 1 N) (/ 1/2 (* N N))) (log N)) (+ (- (/ 1 N) (/ 1/2 (* N N))) (log N)) (+ (* (+ (* N 1/3) -1/2) (* N N)) N) (+ (- (/ 1 N) (/ 1/2 (* N N))) (log N)) (+ (- (/ 1 N) (/ 1/2 (* N N))) (log N)) (+ (* (+ (* N 1/3) -1/2) (* N N)) N) (+ (- (/ 1 N) (/ 1/2 (* N N))) (log N)) (+ (- (/ 1 N) (/ 1/2 (* N N))) (log N)) (+ (* (+ (* N 1/3) -1/2) (* N N)) N) (+ (- (/ 1 N) (/ 1/2 (* N N))) (log N)) (+ (- (/ 1 N) (/ 1/2 (* N N))) (log N)) 10.393 * * * [progress]: adding candidates to table 11.431 * [progress]: [Phase 3 of 3] Extracting. 11.432 * * [regime]: Finding splitpoints for: (# # # # # #) 11.435 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.436 * * * * [regimes]: Trying to branch on N from (# # # # # #) 11.486 * * * [regime]: Found split indices: #