22.773 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.118 * * * [progress]: [2/2] Setting up program. 0.122 * [progress]: [Phase 2 of 3] Improving. 0.122 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.122 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.123 * * [simplify]: iteration 1: (6 enodes) 0.125 * * [simplify]: iteration 2: (9 enodes) 0.127 * * [simplify]: iteration 3: (10 enodes) 0.130 * * [simplify]: Extracting #0: cost 1 inf + 0 0.130 * * [simplify]: Extracting #1: cost 4 inf + 0 0.130 * * [simplify]: Extracting #2: cost 6 inf + 0 0.130 * * [simplify]: Extracting #3: cost 6 inf + 1 0.130 * * [simplify]: Extracting #4: cost 0 inf + 560 0.130 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.131 * * [progress]: iteration 1 / 4 0.131 * * * [progress]: picking best candidate 0.135 * * * * [pick]: Picked # 0.135 * * * [progress]: localizing error 0.151 * * * [progress]: generating rewritten candidates 0.151 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.161 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.166 * * * [progress]: generating series expansions 0.166 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.169 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.169 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.169 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.169 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.169 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [taylor]: Taking taylor expansion of 1 in N 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (+ 0 1) into 1 0.171 * [backup-simplify]: Simplify (log 1) into 0 0.171 * [taylor]: Taking taylor expansion of (log N) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (log 1) into 0 0.171 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.171 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.171 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [taylor]: Taking taylor expansion of 1 in N 0.171 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (+ 0 1) into 1 0.172 * [backup-simplify]: Simplify (log 1) into 0 0.172 * [taylor]: Taking taylor expansion of (log N) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (log 1) into 0 0.176 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.176 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.176 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.176 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.191 * [backup-simplify]: Simplify (+ 1 0) into 1 0.193 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ 1 0) into 1 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.199 * [backup-simplify]: Simplify -1/2 into -1/2 0.200 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.200 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.200 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.200 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.200 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.200 * [taylor]: Taking taylor expansion of N in N 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [taylor]: Taking taylor expansion of 1 in N 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (+ 1 0) into 1 0.201 * [backup-simplify]: Simplify (log 1) into 0 0.201 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.201 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [backup-simplify]: Simplify (log 1) into 0 0.202 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.202 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [taylor]: Taking taylor expansion of 1 in N 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (+ 1 0) into 1 0.202 * [backup-simplify]: Simplify (log 1) into 0 0.202 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (log 1) into 0 0.203 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.204 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.204 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.204 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 1) into 1 0.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.207 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ 1 0) into 1 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.212 * [backup-simplify]: Simplify (- 0) into 0 0.212 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.212 * [backup-simplify]: Simplify -1/2 into -1/2 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [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 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.220 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.220 * [backup-simplify]: Simplify 1/3 into 1/3 0.220 * [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)))) 0.220 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.220 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.220 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.220 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.220 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.220 * [taylor]: Taking taylor expansion of 1 in N 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.221 * [taylor]: Taking taylor expansion of N in N 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [backup-simplify]: Simplify (- 1) into -1 0.221 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.222 * [backup-simplify]: Simplify (log -1) into (log -1) 0.222 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.222 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.222 * [taylor]: Taking taylor expansion of -1 in N 0.222 * [backup-simplify]: Simplify -1 into -1 0.222 * [taylor]: Taking taylor expansion of N in N 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ -1 1) into -1 0.222 * [backup-simplify]: Simplify (log -1) into (log -1) 0.222 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.222 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.222 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.222 * [taylor]: Taking taylor expansion of 1 in N 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.222 * [taylor]: Taking taylor expansion of N in N 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [backup-simplify]: Simplify (- 1) into -1 0.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.223 * [backup-simplify]: Simplify (log -1) into (log -1) 0.223 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.223 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.223 * [taylor]: Taking taylor expansion of -1 in N 0.224 * [backup-simplify]: Simplify -1 into -1 0.224 * [taylor]: Taking taylor expansion of N in N 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ -1 1) into -1 0.224 * [backup-simplify]: Simplify (log -1) into (log -1) 0.225 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.226 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.226 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.227 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ -1 0) into -1 0.233 * [backup-simplify]: Simplify -1 into -1 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [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 (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.243 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.243 * [backup-simplify]: Simplify -1/2 into -1/2 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [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 0.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [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 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.259 * [backup-simplify]: Simplify -1/3 into -1/3 0.260 * [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)))) 0.260 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.260 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.260 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.260 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.260 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.260 * [taylor]: Taking taylor expansion of N in N 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of 1 in N 0.260 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (+ 0 1) into 1 0.261 * [backup-simplify]: Simplify (log 1) into 0 0.261 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.261 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.261 * [taylor]: Taking taylor expansion of N in N 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [taylor]: Taking taylor expansion of 1 in N 0.261 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (+ 0 1) into 1 0.262 * [backup-simplify]: Simplify (log 1) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (+ 1 0) into 1 0.264 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.267 * [backup-simplify]: Simplify -1/2 into -1/2 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [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 0.273 * [backup-simplify]: Simplify 1/3 into 1/3 0.274 * [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))) 0.274 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.274 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.274 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.274 * [taylor]: Taking taylor expansion of N in N 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [taylor]: Taking taylor expansion of 1 in N 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (+ 1 0) into 1 0.275 * [backup-simplify]: Simplify (log 1) into 0 0.275 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.275 * [taylor]: Taking taylor expansion of N in N 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [taylor]: Taking taylor expansion of 1 in N 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (+ 1 0) into 1 0.277 * [backup-simplify]: Simplify (log 1) into 0 0.277 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.277 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 1) into 1 0.280 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.280 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.284 * [backup-simplify]: Simplify -1/2 into -1/2 0.284 * [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)))) 0.284 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.284 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.284 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.284 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.284 * [taylor]: Taking taylor expansion of 1 in N 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.284 * [taylor]: Taking taylor expansion of N in N 0.284 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [backup-simplify]: Simplify (- 1) into -1 0.286 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.286 * [backup-simplify]: Simplify (log -1) into (log -1) 0.286 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.286 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.286 * [taylor]: Taking taylor expansion of 1 in N 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.286 * [taylor]: Taking taylor expansion of N in N 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [backup-simplify]: Simplify (- 1) into -1 0.287 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.288 * [backup-simplify]: Simplify (log -1) into (log -1) 0.289 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.289 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.292 * [backup-simplify]: Simplify -1 into -1 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.297 * [backup-simplify]: Simplify -1/2 into -1/2 0.298 * [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)))) 0.298 * * * [progress]: simplifying candidates 0.298 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.298 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.298 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.298 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.298 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.298 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.298 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.298 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.298 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 16 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.299 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.300 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.300 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.300 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.300 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.300 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.300 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.300 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.300 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.300 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.300 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.300 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.300 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.300 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.300 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.300 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.300 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.301 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.301 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.301 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.301 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.301 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.301 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.301 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.302 * [simplify]: Simplifying: (/ (+ 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))) (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 (+ (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)))) (- (+ 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)))) 0.303 * * [simplify]: iteration 1: (97 enodes) 0.330 * * [simplify]: iteration 2: (194 enodes) 0.400 * * [simplify]: iteration 3: (416 enodes) 0.592 * * [simplify]: iteration 4: (1200 enodes) 1.589 * * [simplify]: Extracting #0: cost 41 inf + 0 1.589 * * [simplify]: Extracting #1: cost 304 inf + 1 1.592 * * [simplify]: Extracting #2: cost 654 inf + 3194 1.602 * * [simplify]: Extracting #3: cost 490 inf + 30991 1.630 * * [simplify]: Extracting #4: cost 195 inf + 103229 1.676 * * [simplify]: Extracting #5: cost 38 inf + 148892 1.724 * * [simplify]: Extracting #6: cost 0 inf + 159459 1.752 * [simplify]: Simplified to: (/ (+ 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 (+ 1 N)) (log 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 N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (- (log (+ 1 N)) (log (cbrt N))) (log (cbrt N))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (+ (- (* N N) N) 1)) (log N)) (+ (log N) (log (+ N -1))) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log 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 (+ 1 (* N (* N N)))) (log (+ (- (* N N) N) 1)) (log (- (* N N) 1)) (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 (log N)) (* (* N N) 1/2)) (+ (/ 1 N) (+ (/ 1/3 (* N (* N N))) (/ -1/2 (* N N)))) (+ (/ 1 N) (+ (/ 1/3 (* N (* N N))) (/ -1/2 (* N N)))) (+ N (* (+ (* N 1/3) -1/2) (* N N))) (- (+ (/ 1 N) (log N)) (/ (/ 1/2 N) N)) (- (+ (/ 1 N) (log N)) (/ (/ 1/2 N) N)) 1.754 * * * [progress]: adding candidates to table 2.045 * * [progress]: iteration 2 / 4 2.045 * * * [progress]: picking best candidate 2.051 * * * * [pick]: Picked # 2.051 * * * [progress]: localizing error 2.063 * * * [progress]: generating rewritten candidates 2.064 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.097 * * * [progress]: generating series expansions 2.097 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.097 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 2.097 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 2.097 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.097 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.097 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.097 * [taylor]: Taking taylor expansion of N in N 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 1 into 1 2.097 * [taylor]: Taking taylor expansion of 1 in N 2.097 * [backup-simplify]: Simplify 1 into 1 2.097 * [taylor]: Taking taylor expansion of N in N 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 1 into 1 2.098 * [backup-simplify]: Simplify (+ 0 1) into 1 2.098 * [backup-simplify]: Simplify (/ 1 1) into 1 2.098 * [backup-simplify]: Simplify (log 1) into 0 2.098 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.098 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.098 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.098 * [taylor]: Taking taylor expansion of N in N 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [taylor]: Taking taylor expansion of 1 in N 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [taylor]: Taking taylor expansion of N in N 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 1 into 1 2.099 * [backup-simplify]: Simplify (+ 0 1) into 1 2.099 * [backup-simplify]: Simplify (/ 1 1) into 1 2.099 * [backup-simplify]: Simplify (log 1) into 0 2.100 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.100 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.100 * [backup-simplify]: Simplify (+ 1 0) into 1 2.101 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.101 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.101 * [backup-simplify]: Simplify 1 into 1 2.102 * [backup-simplify]: Simplify (+ 0 0) into 0 2.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.104 * [backup-simplify]: Simplify -1/2 into -1/2 2.104 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 2.104 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 2.104 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 2.104 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.104 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.104 * [taylor]: Taking taylor expansion of N in N 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.104 * [taylor]: Taking taylor expansion of N in N 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (/ 1 1) into 1 2.105 * [taylor]: Taking taylor expansion of 1 in N 2.105 * [backup-simplify]: Simplify 1 into 1 2.105 * [backup-simplify]: Simplify (+ 1 0) into 1 2.105 * [backup-simplify]: Simplify (* 0 1) into 0 2.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.106 * [backup-simplify]: Simplify (+ 0 1) into 1 2.106 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.107 * [backup-simplify]: Simplify (log 1) into 0 2.107 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.107 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.107 * [taylor]: Taking taylor expansion of N in N 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.107 * [taylor]: Taking taylor expansion of N in N 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [backup-simplify]: Simplify (/ 1 1) into 1 2.107 * [taylor]: Taking taylor expansion of 1 in N 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [backup-simplify]: Simplify (+ 1 0) into 1 2.108 * [backup-simplify]: Simplify (* 0 1) into 0 2.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.108 * [backup-simplify]: Simplify (+ 0 1) into 1 2.109 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.109 * [backup-simplify]: Simplify (log 1) into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.110 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.111 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.112 * [backup-simplify]: Simplify (+ 0 0) into 0 2.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.114 * [backup-simplify]: Simplify -1/2 into -1/2 2.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify (+ 0 0) into 0 2.116 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.119 * [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 2.119 * [backup-simplify]: Simplify 1/3 into 1/3 2.119 * [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)))) 2.119 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 2.119 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 2.119 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.119 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.119 * [taylor]: Taking taylor expansion of -1 in N 2.119 * [backup-simplify]: Simplify -1 into -1 2.119 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.119 * [taylor]: Taking taylor expansion of N in N 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.119 * [taylor]: Taking taylor expansion of 1 in N 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.119 * [taylor]: Taking taylor expansion of N in N 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (/ 1 1) into 1 2.120 * [backup-simplify]: Simplify (- 1) into -1 2.120 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.120 * [backup-simplify]: Simplify (* 0 -1) into 0 2.121 * [backup-simplify]: Simplify (* -1 0) into 0 2.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.121 * [backup-simplify]: Simplify (- 0) into 0 2.122 * [backup-simplify]: Simplify (+ 1 0) into 1 2.122 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.122 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.123 * [backup-simplify]: Simplify (log 1) into 0 2.123 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.123 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.123 * [taylor]: Taking taylor expansion of -1 in N 2.123 * [backup-simplify]: Simplify -1 into -1 2.123 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.123 * [taylor]: Taking taylor expansion of N in N 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.123 * [taylor]: Taking taylor expansion of 1 in N 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.123 * [taylor]: Taking taylor expansion of N in N 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (/ 1 1) into 1 2.123 * [backup-simplify]: Simplify (- 1) into -1 2.124 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.124 * [backup-simplify]: Simplify (* 0 -1) into 0 2.124 * [backup-simplify]: Simplify (* -1 0) into 0 2.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (- 0) into 0 2.126 * [backup-simplify]: Simplify (+ 1 0) into 1 2.127 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.128 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.128 * [backup-simplify]: Simplify (log 1) into 0 2.128 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (- 0) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.132 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.134 * [backup-simplify]: Simplify -1 into -1 2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.136 * [backup-simplify]: Simplify (- 0) into 0 2.136 * [backup-simplify]: Simplify (+ 0 0) into 0 2.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.139 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.142 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.142 * [backup-simplify]: Simplify -1/2 into -1/2 2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.143 * [backup-simplify]: Simplify (- 0) into 0 2.143 * [backup-simplify]: Simplify (+ 0 0) into 0 2.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.146 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.152 * [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 2.152 * [backup-simplify]: Simplify -1/3 into -1/3 2.152 * [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)))) 2.152 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.152 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 2.152 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 2.152 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.152 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.152 * [taylor]: Taking taylor expansion of N in N 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 1 into 1 2.153 * [taylor]: Taking taylor expansion of 1 in N 2.153 * [backup-simplify]: Simplify 1 into 1 2.153 * [taylor]: Taking taylor expansion of N in N 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 1 into 1 2.153 * [backup-simplify]: Simplify (+ 0 1) into 1 2.154 * [backup-simplify]: Simplify (/ 1 1) into 1 2.154 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.154 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.154 * [taylor]: Taking taylor expansion of N in N 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.154 * [taylor]: Taking taylor expansion of 1 in N 2.154 * [backup-simplify]: Simplify 1 into 1 2.154 * [taylor]: Taking taylor expansion of N in N 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.154 * [backup-simplify]: Simplify (+ 0 1) into 1 2.155 * [backup-simplify]: Simplify (/ 1 1) into 1 2.155 * [backup-simplify]: Simplify 1 into 1 2.155 * [backup-simplify]: Simplify (+ 1 0) into 1 2.156 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.156 * [backup-simplify]: Simplify 1 into 1 2.156 * [backup-simplify]: Simplify (+ 0 0) into 0 2.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (+ 0 0) into 0 2.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify (+ 0 0) into 0 2.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify (+ 0 0) into 0 2.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.161 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify (+ 0 0) into 0 2.163 * [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 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify (+ 0 0) into 0 2.164 * [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 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 2.165 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 2.165 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 2.165 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.165 * [taylor]: Taking taylor expansion of N in N 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.165 * [taylor]: Taking taylor expansion of N in N 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [backup-simplify]: Simplify (/ 1 1) into 1 2.165 * [taylor]: Taking taylor expansion of 1 in N 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.165 * [taylor]: Taking taylor expansion of N in N 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.165 * [taylor]: Taking taylor expansion of N in N 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify (/ 1 1) into 1 2.166 * [taylor]: Taking taylor expansion of 1 in N 2.166 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify (+ 1 0) into 1 2.167 * [backup-simplify]: Simplify (* 0 1) into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.168 * [backup-simplify]: Simplify (+ 0 1) into 1 2.169 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.169 * [backup-simplify]: Simplify 1 into 1 2.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.170 * [backup-simplify]: Simplify (+ 0 0) into 0 2.171 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.171 * [backup-simplify]: Simplify 1 into 1 2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.172 * [backup-simplify]: Simplify (+ 0 0) into 0 2.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.175 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.176 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify (+ 0 0) into 0 2.178 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (+ 0 0) into 0 2.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.183 * [backup-simplify]: Simplify (+ 0 0) into 0 2.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 2.184 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.186 * [backup-simplify]: Simplify (+ 0 0) into 0 2.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 2.188 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 2.188 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 2.188 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.188 * [taylor]: Taking taylor expansion of -1 in N 2.188 * [backup-simplify]: Simplify -1 into -1 2.188 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.188 * [taylor]: Taking taylor expansion of N in N 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.188 * [taylor]: Taking taylor expansion of 1 in N 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.188 * [taylor]: Taking taylor expansion of N in N 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [backup-simplify]: Simplify (/ 1 1) into 1 2.188 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.188 * [taylor]: Taking taylor expansion of -1 in N 2.189 * [backup-simplify]: Simplify -1 into -1 2.189 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.189 * [taylor]: Taking taylor expansion of N in N 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.189 * [taylor]: Taking taylor expansion of 1 in N 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.189 * [taylor]: Taking taylor expansion of N in N 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [backup-simplify]: Simplify (/ 1 1) into 1 2.190 * [backup-simplify]: Simplify (- 1) into -1 2.190 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.191 * [backup-simplify]: Simplify (* 0 -1) into 0 2.191 * [backup-simplify]: Simplify (* -1 0) into 0 2.191 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.192 * [backup-simplify]: Simplify (- 0) into 0 2.193 * [backup-simplify]: Simplify (+ 1 0) into 1 2.193 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.194 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.194 * [backup-simplify]: Simplify 1 into 1 2.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.196 * [backup-simplify]: Simplify (- 0) into 0 2.196 * [backup-simplify]: Simplify (+ 0 0) into 0 2.197 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.198 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.198 * [backup-simplify]: Simplify -1 into -1 2.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (- 0) into 0 2.200 * [backup-simplify]: Simplify (+ 0 0) into 0 2.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.208 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (- 0) into 0 2.210 * [backup-simplify]: Simplify (+ 0 0) into 0 2.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.213 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.213 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.215 * [backup-simplify]: Simplify (- 0) into 0 2.215 * [backup-simplify]: Simplify (+ 0 0) into 0 2.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.217 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.218 * [backup-simplify]: Simplify (- 0) into 0 2.219 * [backup-simplify]: Simplify (+ 0 0) into 0 2.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.221 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.221 * [backup-simplify]: Simplify (- 0) into 0 2.222 * [backup-simplify]: Simplify (+ 0 0) into 0 2.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.224 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.225 * [backup-simplify]: Simplify (- 0) into 0 2.225 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 2.227 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 2.228 * * * [progress]: simplifying candidates 2.228 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 2.228 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 2.229 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 2.229 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 2.230 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 2.230 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 2.230 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 2.230 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 2.230 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 2.230 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 2.230 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 2.230 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 2.230 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 2.230 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 2.230 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 2.230 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 2.230 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 2.230 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 2.230 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 2.231 * [simplify]: Simplifying: (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log 1) (log (/ (+ 1 N) N)) (log (+ 1 N)) (log (/ 1 N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (exp (log (/ (+ 1 N) N))) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (- (log (+ 1 N)) (log N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (/ (* (* (+ 1 N) (+ 1 N)) (+ 1 N)) (* (* N N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- (+ 1 N)) (- N) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (/ (+ 1 N) 1) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (* 1 1) (- (* N N) (* 1 N)))) (* N (- 1 N)) (real->posit16 (/ (+ 1 N) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 2.231 * * [simplify]: iteration 1: (102 enodes) 2.262 * * [simplify]: iteration 2: (222 enodes) 2.333 * * [simplify]: iteration 3: (490 enodes) 2.795 * * [simplify]: iteration 4: (1427 enodes) 4.383 * * [simplify]: Extracting #0: cost 64 inf + 0 4.384 * * [simplify]: Extracting #1: cost 610 inf + 2 4.392 * * [simplify]: Extracting #2: cost 1264 inf + 4613 4.419 * * [simplify]: Extracting #3: cost 656 inf + 123370 4.500 * * [simplify]: Extracting #4: cost 62 inf + 288096 4.572 * * [simplify]: Extracting #5: cost 2 inf + 310347 4.648 * * [simplify]: Extracting #6: cost 0 inf + 311383 4.750 * [simplify]: Simplified to: (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (+ (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (cbrt (+ N 1)) (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))) (log (cbrt (+ N 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))) (log (/ (sqrt (+ N 1)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) 0 (log (/ (+ N 1) N)) (log (+ N 1)) (- (log N)) (log (+ N 1)) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (/ (+ N 1) N) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (log (/ (+ N 1) N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (- -1 N) (- N) (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (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))) (/ (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)) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (+ N 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (+ (* N (* N N)) (- N (* N N))) (- N (* N N)) (real->posit16 (/ (+ N 1) N)) (- (* (* N N) -1/2) (- (log N) N)) (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N))))) (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N))))) (/ (+ N 1) N) (/ (+ N 1) N) (/ (+ N 1) N) 4.756 * * * [progress]: adding candidates to table 5.150 * * [progress]: iteration 3 / 4 5.150 * * * [progress]: picking best candidate 5.158 * * * * [pick]: Picked # 5.158 * * * [progress]: localizing error 5.181 * * * [progress]: generating rewritten candidates 5.181 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.194 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 5.198 * * * [progress]: generating series expansions 5.198 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.198 * [backup-simplify]: Simplify (- (log (+ 1 N)) (log N)) into (- (log (+ N 1)) (log N)) 5.198 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 5.198 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 5.198 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.198 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.198 * [taylor]: Taking taylor expansion of N in N 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify 1 into 1 5.198 * [taylor]: Taking taylor expansion of 1 in N 5.198 * [backup-simplify]: Simplify 1 into 1 5.198 * [backup-simplify]: Simplify (+ 0 1) into 1 5.199 * [backup-simplify]: Simplify (log 1) into 0 5.199 * [taylor]: Taking taylor expansion of (log N) in N 5.199 * [taylor]: Taking taylor expansion of N in N 5.199 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify 1 into 1 5.199 * [backup-simplify]: Simplify (log 1) into 0 5.199 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 5.199 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.199 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.199 * [taylor]: Taking taylor expansion of N in N 5.199 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify 1 into 1 5.199 * [taylor]: Taking taylor expansion of 1 in N 5.199 * [backup-simplify]: Simplify 1 into 1 5.199 * [backup-simplify]: Simplify (+ 0 1) into 1 5.200 * [backup-simplify]: Simplify (log 1) into 0 5.200 * [taylor]: Taking taylor expansion of (log N) in N 5.200 * [taylor]: Taking taylor expansion of N in N 5.200 * [backup-simplify]: Simplify 0 into 0 5.200 * [backup-simplify]: Simplify 1 into 1 5.200 * [backup-simplify]: Simplify (log 1) into 0 5.200 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.200 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.200 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 5.200 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.201 * [backup-simplify]: Simplify (+ 1 0) into 1 5.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.203 * [backup-simplify]: Simplify (- 0) into 0 5.203 * [backup-simplify]: Simplify (+ 1 0) into 1 5.203 * [backup-simplify]: Simplify 1 into 1 5.203 * [backup-simplify]: Simplify (+ 0 0) into 0 5.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.206 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.207 * [backup-simplify]: Simplify (- 0) into 0 5.207 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 5.207 * [backup-simplify]: Simplify -1/2 into -1/2 5.207 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 5.207 * [backup-simplify]: Simplify (- (log (+ 1 (/ 1 N))) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 5.207 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 5.207 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 5.207 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.207 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.207 * [taylor]: Taking taylor expansion of N in N 5.207 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify 1 into 1 5.208 * [backup-simplify]: Simplify (/ 1 1) into 1 5.208 * [taylor]: Taking taylor expansion of 1 in N 5.208 * [backup-simplify]: Simplify 1 into 1 5.208 * [backup-simplify]: Simplify (+ 1 0) into 1 5.208 * [backup-simplify]: Simplify (log 1) into 0 5.208 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.208 * [taylor]: Taking taylor expansion of N in N 5.208 * [backup-simplify]: Simplify 0 into 0 5.208 * [backup-simplify]: Simplify 1 into 1 5.209 * [backup-simplify]: Simplify (/ 1 1) into 1 5.209 * [backup-simplify]: Simplify (log 1) into 0 5.209 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 5.209 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.209 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.209 * [taylor]: Taking taylor expansion of N in N 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 1 into 1 5.209 * [backup-simplify]: Simplify (/ 1 1) into 1 5.209 * [taylor]: Taking taylor expansion of 1 in N 5.209 * [backup-simplify]: Simplify 1 into 1 5.210 * [backup-simplify]: Simplify (+ 1 0) into 1 5.210 * [backup-simplify]: Simplify (log 1) into 0 5.210 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.210 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.210 * [taylor]: Taking taylor expansion of N in N 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 1 into 1 5.210 * [backup-simplify]: Simplify (/ 1 1) into 1 5.210 * [backup-simplify]: Simplify (log 1) into 0 5.211 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.211 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.211 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 5.211 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 5.211 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.212 * [backup-simplify]: Simplify (+ 0 1) into 1 5.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.214 * [backup-simplify]: Simplify (- 0) into 0 5.214 * [backup-simplify]: Simplify (+ 1 0) into 1 5.214 * [backup-simplify]: Simplify 1 into 1 5.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.215 * [backup-simplify]: Simplify (+ 0 0) into 0 5.217 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.222 * [backup-simplify]: Simplify (- 0) into 0 5.223 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 5.223 * [backup-simplify]: Simplify -1/2 into -1/2 5.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.224 * [backup-simplify]: Simplify (+ 0 0) into 0 5.229 * [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 5.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.235 * [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 5.236 * [backup-simplify]: Simplify (- 0) into 0 5.236 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.236 * [backup-simplify]: Simplify 1/3 into 1/3 5.237 * [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)))) 5.237 * [backup-simplify]: Simplify (- (log (+ 1 (/ 1 (- N)))) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 5.237 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 5.237 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 5.237 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.237 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.237 * [taylor]: Taking taylor expansion of 1 in N 5.237 * [backup-simplify]: Simplify 1 into 1 5.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.237 * [taylor]: Taking taylor expansion of N in N 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [backup-simplify]: Simplify 1 into 1 5.237 * [backup-simplify]: Simplify (/ 1 1) into 1 5.238 * [backup-simplify]: Simplify (- 1) into -1 5.238 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.239 * [backup-simplify]: Simplify (log -1) into (log -1) 5.239 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 5.239 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.239 * [taylor]: Taking taylor expansion of -1 in N 5.239 * [backup-simplify]: Simplify -1 into -1 5.239 * [taylor]: Taking taylor expansion of N in N 5.239 * [backup-simplify]: Simplify 0 into 0 5.239 * [backup-simplify]: Simplify 1 into 1 5.239 * [backup-simplify]: Simplify (/ -1 1) into -1 5.239 * [backup-simplify]: Simplify (log -1) into (log -1) 5.240 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 5.240 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.240 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.240 * [taylor]: Taking taylor expansion of 1 in N 5.240 * [backup-simplify]: Simplify 1 into 1 5.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.240 * [taylor]: Taking taylor expansion of N in N 5.240 * [backup-simplify]: Simplify 0 into 0 5.240 * [backup-simplify]: Simplify 1 into 1 5.240 * [backup-simplify]: Simplify (/ 1 1) into 1 5.240 * [backup-simplify]: Simplify (- 1) into -1 5.241 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.241 * [backup-simplify]: Simplify (log -1) into (log -1) 5.241 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 5.241 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.241 * [taylor]: Taking taylor expansion of -1 in N 5.241 * [backup-simplify]: Simplify -1 into -1 5.241 * [taylor]: Taking taylor expansion of N in N 5.241 * [backup-simplify]: Simplify 0 into 0 5.241 * [backup-simplify]: Simplify 1 into 1 5.241 * [backup-simplify]: Simplify (/ -1 1) into -1 5.242 * [backup-simplify]: Simplify (log -1) into (log -1) 5.242 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.243 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.243 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 5.243 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 5.243 * [backup-simplify]: Simplify 0 into 0 5.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.244 * [backup-simplify]: Simplify (- 0) into 0 5.244 * [backup-simplify]: Simplify (+ 1 0) into 1 5.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.251 * [backup-simplify]: Simplify (- 0) into 0 5.251 * [backup-simplify]: Simplify (+ -1 0) into -1 5.251 * [backup-simplify]: Simplify -1 into -1 5.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.252 * [backup-simplify]: Simplify (- 0) into 0 5.252 * [backup-simplify]: Simplify (+ 0 0) into 0 5.254 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.256 * [backup-simplify]: Simplify (- 0) into 0 5.256 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 5.256 * [backup-simplify]: Simplify -1/2 into -1/2 5.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.257 * [backup-simplify]: Simplify (- 0) into 0 5.257 * [backup-simplify]: Simplify (+ 0 0) into 0 5.260 * [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 5.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.264 * [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 5.264 * [backup-simplify]: Simplify (- 0) into 0 5.264 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 5.264 * [backup-simplify]: Simplify -1/3 into -1/3 5.264 * [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)))) 5.264 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 5.265 * [backup-simplify]: Simplify (log (+ 1 N)) into (log (+ N 1)) 5.265 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 5.265 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.265 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.265 * [taylor]: Taking taylor expansion of N in N 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 1 into 1 5.265 * [taylor]: Taking taylor expansion of 1 in N 5.265 * [backup-simplify]: Simplify 1 into 1 5.265 * [backup-simplify]: Simplify (+ 0 1) into 1 5.265 * [backup-simplify]: Simplify (log 1) into 0 5.265 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.265 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.265 * [taylor]: Taking taylor expansion of N in N 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 1 into 1 5.265 * [taylor]: Taking taylor expansion of 1 in N 5.265 * [backup-simplify]: Simplify 1 into 1 5.266 * [backup-simplify]: Simplify (+ 0 1) into 1 5.266 * [backup-simplify]: Simplify (log 1) into 0 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify (+ 1 0) into 1 5.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.267 * [backup-simplify]: Simplify 1 into 1 5.267 * [backup-simplify]: Simplify (+ 0 0) into 0 5.269 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.269 * [backup-simplify]: Simplify -1/2 into -1/2 5.269 * [backup-simplify]: Simplify (+ 0 0) into 0 5.272 * [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 5.272 * [backup-simplify]: Simplify 1/3 into 1/3 5.272 * [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))) 5.272 * [backup-simplify]: Simplify (log (+ 1 (/ 1 N))) into (log (+ (/ 1 N) 1)) 5.272 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 5.272 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.272 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.272 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.272 * [taylor]: Taking taylor expansion of N in N 5.272 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify 1 into 1 5.272 * [backup-simplify]: Simplify (/ 1 1) into 1 5.272 * [taylor]: Taking taylor expansion of 1 in N 5.272 * [backup-simplify]: Simplify 1 into 1 5.273 * [backup-simplify]: Simplify (+ 1 0) into 1 5.273 * [backup-simplify]: Simplify (log 1) into 0 5.273 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.273 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.273 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.273 * [taylor]: Taking taylor expansion of N in N 5.273 * [backup-simplify]: Simplify 0 into 0 5.273 * [backup-simplify]: Simplify 1 into 1 5.273 * [backup-simplify]: Simplify (/ 1 1) into 1 5.273 * [taylor]: Taking taylor expansion of 1 in N 5.273 * [backup-simplify]: Simplify 1 into 1 5.274 * [backup-simplify]: Simplify (+ 1 0) into 1 5.274 * [backup-simplify]: Simplify (log 1) into 0 5.274 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.274 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.275 * [backup-simplify]: Simplify (+ 0 1) into 1 5.276 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.276 * [backup-simplify]: Simplify 1 into 1 5.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.276 * [backup-simplify]: Simplify (+ 0 0) into 0 5.278 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.278 * [backup-simplify]: Simplify -1/2 into -1/2 5.278 * [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)))) 5.278 * [backup-simplify]: Simplify (log (+ 1 (/ 1 (- N)))) into (log (- 1 (/ 1 N))) 5.278 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 5.278 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.278 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.278 * [taylor]: Taking taylor expansion of 1 in N 5.278 * [backup-simplify]: Simplify 1 into 1 5.278 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.278 * [taylor]: Taking taylor expansion of N in N 5.278 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify 1 into 1 5.279 * [backup-simplify]: Simplify (/ 1 1) into 1 5.279 * [backup-simplify]: Simplify (- 1) into -1 5.279 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.279 * [backup-simplify]: Simplify (log -1) into (log -1) 5.279 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.279 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.279 * [taylor]: Taking taylor expansion of 1 in N 5.279 * [backup-simplify]: Simplify 1 into 1 5.279 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.279 * [taylor]: Taking taylor expansion of N in N 5.279 * [backup-simplify]: Simplify 0 into 0 5.279 * [backup-simplify]: Simplify 1 into 1 5.280 * [backup-simplify]: Simplify (/ 1 1) into 1 5.280 * [backup-simplify]: Simplify (- 1) into -1 5.280 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.280 * [backup-simplify]: Simplify (log -1) into (log -1) 5.281 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.281 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.282 * [backup-simplify]: Simplify (- 0) into 0 5.282 * [backup-simplify]: Simplify (+ 1 0) into 1 5.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.283 * [backup-simplify]: Simplify -1 into -1 5.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.284 * [backup-simplify]: Simplify (- 0) into 0 5.284 * [backup-simplify]: Simplify (+ 0 0) into 0 5.286 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.286 * [backup-simplify]: Simplify -1/2 into -1/2 5.286 * [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)))) 5.286 * * * [progress]: simplifying candidates 5.286 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 5.286 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 5.286 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 5.286 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 5.286 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 5.286 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 5.286 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 5.286 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 5.286 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 5.286 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 16 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ 1 N)) (log N)))))> 5.287 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 5.287 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 5.288 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 5.288 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 5.288 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 5.288 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 5.288 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 5.288 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (log (+ 1 N)))) (log N)))> 5.288 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 5.288 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 5.288 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 5.288 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 5.288 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 5.288 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 5.288 * [simplify]: Simplifying: (/ (+ 1 N) N) (log (- (log (+ 1 N)) (log N))) (exp (- (log (+ 1 N)) (log 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))) (- (pow (log (+ 1 N)) 3) (pow (log N) 3)) (+ (* (log (+ 1 N)) (log (+ 1 N))) (+ (* (log N) (log N)) (* (log (+ 1 N)) (log N)))) (- (log N)) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log 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) (cbrt N)))) (- (log (+ 1 N)) (log (sqrt N))) (- (log (+ 1 N)) (log 1)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (+ (* 1 1) (- (* N N) (* 1 N)))) (log N)) (+ (log (- 1 N)) (log N)) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) (log 1) (log (+ 1 N)) (log 1) (log (+ 1 N)) (log (+ (pow 1 3) (pow N 3))) (log (+ (* 1 1) (- (* N N) (* 1 N)))) (log (- (* 1 1) (* N N))) (log (- 1 N)) (log (+ 1 N)) (log (log (+ 1 N))) (exp (log (+ 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 (+ (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)))) (- (+ 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)))) 5.289 * * [simplify]: iteration 1: (97 enodes) 5.310 * * [simplify]: iteration 2: (194 enodes) 5.355 * * [simplify]: iteration 3: (412 enodes) 5.512 * * [simplify]: iteration 4: (1194 enodes) 6.633 * * [simplify]: Extracting #0: cost 41 inf + 0 6.634 * * [simplify]: Extracting #1: cost 309 inf + 1 6.636 * * [simplify]: Extracting #2: cost 656 inf + 2387 6.642 * * [simplify]: Extracting #3: cost 457 inf + 35692 6.662 * * [simplify]: Extracting #4: cost 120 inf + 117169 6.710 * * [simplify]: Extracting #5: cost 17 inf + 148911 6.747 * * [simplify]: Extracting #6: cost 0 inf + 157679 6.786 * [simplify]: Simplified to: (/ (+ 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 (+ 1 N)) (log 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 N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (- (log (+ 1 N)) (log (cbrt N))) (log (cbrt N))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (- 1 (- N (* N N)))) (log N)) (+ (log N) (log (- 1 N))) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log 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 (+ 1 (* (* N N) N))) (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))) (- (- 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)) (/ -1/2 (* N N)))) (+ (* (* N N) (- (* N 1/3) 1/2)) N) (- (+ (log N) (/ 1 N)) (/ (/ 1/2 N) N)) (- (+ (log N) (/ 1 N)) (/ (/ 1/2 N) N)) 6.790 * * * [progress]: adding candidates to table 7.097 * * [progress]: iteration 4 / 4 7.097 * * * [progress]: picking best candidate 7.105 * * * * [pick]: Picked # 7.105 * * * [progress]: localizing error 7.128 * * * [progress]: generating rewritten candidates 7.128 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 7.136 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 7.140 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.141 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 7.160 * * * [progress]: generating series expansions 7.160 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 7.161 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 7.161 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 7.161 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 7.161 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 7.161 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.161 * [taylor]: Taking taylor expansion of N in N 7.161 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify 1 into 1 7.161 * [taylor]: Taking taylor expansion of 1 in N 7.161 * [backup-simplify]: Simplify 1 into 1 7.161 * [taylor]: Taking taylor expansion of N in N 7.161 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify 1 into 1 7.162 * [backup-simplify]: Simplify (+ 0 1) into 1 7.162 * [backup-simplify]: Simplify (/ 1 1) into 1 7.162 * [backup-simplify]: Simplify (log 1) into 0 7.162 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 7.163 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 7.163 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.163 * [taylor]: Taking taylor expansion of N in N 7.163 * [backup-simplify]: Simplify 0 into 0 7.163 * [backup-simplify]: Simplify 1 into 1 7.163 * [taylor]: Taking taylor expansion of 1 in N 7.163 * [backup-simplify]: Simplify 1 into 1 7.163 * [taylor]: Taking taylor expansion of N in N 7.163 * [backup-simplify]: Simplify 0 into 0 7.163 * [backup-simplify]: Simplify 1 into 1 7.163 * [backup-simplify]: Simplify (+ 0 1) into 1 7.164 * [backup-simplify]: Simplify (/ 1 1) into 1 7.164 * [backup-simplify]: Simplify (log 1) into 0 7.164 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.165 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 7.165 * [backup-simplify]: Simplify (+ 1 0) into 1 7.166 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 7.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.167 * [backup-simplify]: Simplify 1 into 1 7.168 * [backup-simplify]: Simplify (+ 0 0) into 0 7.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.171 * [backup-simplify]: Simplify -1/2 into -1/2 7.172 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 7.172 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 7.172 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 7.172 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 7.172 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.172 * [taylor]: Taking taylor expansion of N in N 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify 1 into 1 7.172 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.172 * [taylor]: Taking taylor expansion of N in N 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify 1 into 1 7.173 * [backup-simplify]: Simplify (/ 1 1) into 1 7.173 * [taylor]: Taking taylor expansion of 1 in N 7.173 * [backup-simplify]: Simplify 1 into 1 7.173 * [backup-simplify]: Simplify (+ 1 0) into 1 7.174 * [backup-simplify]: Simplify (* 0 1) into 0 7.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.175 * [backup-simplify]: Simplify (+ 0 1) into 1 7.175 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.176 * [backup-simplify]: Simplify (log 1) into 0 7.176 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 7.176 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.176 * [taylor]: Taking taylor expansion of N in N 7.176 * [backup-simplify]: Simplify 0 into 0 7.176 * [backup-simplify]: Simplify 1 into 1 7.176 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.176 * [taylor]: Taking taylor expansion of N in N 7.176 * [backup-simplify]: Simplify 0 into 0 7.176 * [backup-simplify]: Simplify 1 into 1 7.176 * [backup-simplify]: Simplify (/ 1 1) into 1 7.176 * [taylor]: Taking taylor expansion of 1 in N 7.176 * [backup-simplify]: Simplify 1 into 1 7.177 * [backup-simplify]: Simplify (+ 1 0) into 1 7.177 * [backup-simplify]: Simplify (* 0 1) into 0 7.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.178 * [backup-simplify]: Simplify (+ 0 1) into 1 7.179 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.179 * [backup-simplify]: Simplify (log 1) into 0 7.180 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.181 * [backup-simplify]: Simplify (+ 0 0) into 0 7.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.183 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.183 * [backup-simplify]: Simplify 1 into 1 7.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.184 * [backup-simplify]: Simplify (+ 0 0) into 0 7.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 7.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.189 * [backup-simplify]: Simplify -1/2 into -1/2 7.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.190 * [backup-simplify]: Simplify (+ 0 0) into 0 7.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 7.196 * [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 7.196 * [backup-simplify]: Simplify 1/3 into 1/3 7.197 * [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)))) 7.197 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 7.197 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 7.197 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 7.197 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 7.197 * [taylor]: Taking taylor expansion of -1 in N 7.197 * [backup-simplify]: Simplify -1 into -1 7.198 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.198 * [taylor]: Taking taylor expansion of N in N 7.198 * [backup-simplify]: Simplify 0 into 0 7.198 * [backup-simplify]: Simplify 1 into 1 7.198 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.198 * [taylor]: Taking taylor expansion of 1 in N 7.198 * [backup-simplify]: Simplify 1 into 1 7.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.198 * [taylor]: Taking taylor expansion of N in N 7.198 * [backup-simplify]: Simplify 0 into 0 7.198 * [backup-simplify]: Simplify 1 into 1 7.198 * [backup-simplify]: Simplify (/ 1 1) into 1 7.199 * [backup-simplify]: Simplify (- 1) into -1 7.199 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.199 * [backup-simplify]: Simplify (* 0 -1) into 0 7.200 * [backup-simplify]: Simplify (* -1 0) into 0 7.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.201 * [backup-simplify]: Simplify (- 0) into 0 7.201 * [backup-simplify]: Simplify (+ 1 0) into 1 7.202 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.203 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.203 * [backup-simplify]: Simplify (log 1) into 0 7.203 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 7.203 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 7.203 * [taylor]: Taking taylor expansion of -1 in N 7.203 * [backup-simplify]: Simplify -1 into -1 7.203 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.203 * [taylor]: Taking taylor expansion of N in N 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.203 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.203 * [taylor]: Taking taylor expansion of 1 in N 7.203 * [backup-simplify]: Simplify 1 into 1 7.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.203 * [taylor]: Taking taylor expansion of N in N 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.204 * [backup-simplify]: Simplify (/ 1 1) into 1 7.204 * [backup-simplify]: Simplify (- 1) into -1 7.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.205 * [backup-simplify]: Simplify (* 0 -1) into 0 7.206 * [backup-simplify]: Simplify (* -1 0) into 0 7.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.207 * [backup-simplify]: Simplify (- 0) into 0 7.208 * [backup-simplify]: Simplify (+ 1 0) into 1 7.209 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.210 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.210 * [backup-simplify]: Simplify (log 1) into 0 7.210 * [backup-simplify]: Simplify 0 into 0 7.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.211 * [backup-simplify]: Simplify (- 0) into 0 7.212 * [backup-simplify]: Simplify (+ 0 0) into 0 7.213 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 7.214 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 7.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 7.215 * [backup-simplify]: Simplify -1 into -1 7.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.217 * [backup-simplify]: Simplify (- 0) into 0 7.217 * [backup-simplify]: Simplify (+ 0 0) into 0 7.219 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 7.220 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 7.223 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.223 * [backup-simplify]: Simplify -1/2 into -1/2 7.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.224 * [backup-simplify]: Simplify (- 0) into 0 7.225 * [backup-simplify]: Simplify (+ 0 0) into 0 7.226 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 7.227 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 7.232 * [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 7.233 * [backup-simplify]: Simplify -1/3 into -1/3 7.233 * [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)))) 7.233 * * * * [progress]: [ 2 / 4 ] generating series at (2) 7.233 * [backup-simplify]: Simplify (exp (log (log (/ (+ 1 N) N)))) into (log (/ (+ N 1) N)) 7.233 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 7.233 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 7.233 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 7.233 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.233 * [taylor]: Taking taylor expansion of N in N 7.233 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify 1 into 1 7.233 * [taylor]: Taking taylor expansion of 1 in N 7.233 * [backup-simplify]: Simplify 1 into 1 7.233 * [taylor]: Taking taylor expansion of N in N 7.233 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify 1 into 1 7.233 * [backup-simplify]: Simplify (+ 0 1) into 1 7.234 * [backup-simplify]: Simplify (/ 1 1) into 1 7.234 * [backup-simplify]: Simplify (log 1) into 0 7.234 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 7.234 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 7.234 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.234 * [taylor]: Taking taylor expansion of N in N 7.234 * [backup-simplify]: Simplify 0 into 0 7.234 * [backup-simplify]: Simplify 1 into 1 7.234 * [taylor]: Taking taylor expansion of 1 in N 7.234 * [backup-simplify]: Simplify 1 into 1 7.234 * [taylor]: Taking taylor expansion of N in N 7.234 * [backup-simplify]: Simplify 0 into 0 7.234 * [backup-simplify]: Simplify 1 into 1 7.234 * [backup-simplify]: Simplify (+ 0 1) into 1 7.235 * [backup-simplify]: Simplify (/ 1 1) into 1 7.235 * [backup-simplify]: Simplify (log 1) into 0 7.235 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.235 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 7.235 * [backup-simplify]: Simplify (+ 1 0) into 1 7.236 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 7.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.237 * [backup-simplify]: Simplify 1 into 1 7.237 * [backup-simplify]: Simplify (+ 0 0) into 0 7.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.239 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.239 * [backup-simplify]: Simplify -1/2 into -1/2 7.239 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 7.239 * [backup-simplify]: Simplify (exp (log (log (/ (+ 1 (/ 1 N)) (/ 1 N))))) into (log (* N (+ (/ 1 N) 1))) 7.239 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 7.239 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 7.239 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.239 * [taylor]: Taking taylor expansion of N in N 7.239 * [backup-simplify]: Simplify 0 into 0 7.239 * [backup-simplify]: Simplify 1 into 1 7.239 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.239 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.239 * [taylor]: Taking taylor expansion of N in N 7.239 * [backup-simplify]: Simplify 0 into 0 7.239 * [backup-simplify]: Simplify 1 into 1 7.240 * [backup-simplify]: Simplify (/ 1 1) into 1 7.240 * [taylor]: Taking taylor expansion of 1 in N 7.240 * [backup-simplify]: Simplify 1 into 1 7.240 * [backup-simplify]: Simplify (+ 1 0) into 1 7.240 * [backup-simplify]: Simplify (* 0 1) into 0 7.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.241 * [backup-simplify]: Simplify (+ 0 1) into 1 7.241 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.242 * [backup-simplify]: Simplify (log 1) into 0 7.242 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 7.242 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.242 * [taylor]: Taking taylor expansion of N in N 7.242 * [backup-simplify]: Simplify 0 into 0 7.242 * [backup-simplify]: Simplify 1 into 1 7.242 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.242 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.242 * [taylor]: Taking taylor expansion of N in N 7.242 * [backup-simplify]: Simplify 0 into 0 7.242 * [backup-simplify]: Simplify 1 into 1 7.242 * [backup-simplify]: Simplify (/ 1 1) into 1 7.242 * [taylor]: Taking taylor expansion of 1 in N 7.242 * [backup-simplify]: Simplify 1 into 1 7.242 * [backup-simplify]: Simplify (+ 1 0) into 1 7.243 * [backup-simplify]: Simplify (* 0 1) into 0 7.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.243 * [backup-simplify]: Simplify (+ 0 1) into 1 7.244 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.244 * [backup-simplify]: Simplify (log 1) into 0 7.244 * [backup-simplify]: Simplify 0 into 0 7.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.245 * [backup-simplify]: Simplify (+ 0 0) into 0 7.245 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.249 * [backup-simplify]: Simplify 1 into 1 7.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.251 * [backup-simplify]: Simplify (+ 0 0) into 0 7.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 7.253 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.253 * [backup-simplify]: Simplify -1/2 into -1/2 7.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.253 * [backup-simplify]: Simplify (+ 0 0) into 0 7.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 7.257 * [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 7.257 * [backup-simplify]: Simplify 1/3 into 1/3 7.257 * [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)))) 7.257 * [backup-simplify]: Simplify (exp (log (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))))) into (log (* -1 (* N (- 1 (/ 1 N))))) 7.257 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 7.257 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 7.257 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 7.257 * [taylor]: Taking taylor expansion of -1 in N 7.257 * [backup-simplify]: Simplify -1 into -1 7.257 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.257 * [taylor]: Taking taylor expansion of N in N 7.257 * [backup-simplify]: Simplify 0 into 0 7.257 * [backup-simplify]: Simplify 1 into 1 7.257 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.258 * [taylor]: Taking taylor expansion of 1 in N 7.258 * [backup-simplify]: Simplify 1 into 1 7.258 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.258 * [taylor]: Taking taylor expansion of N in N 7.258 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify 1 into 1 7.258 * [backup-simplify]: Simplify (/ 1 1) into 1 7.258 * [backup-simplify]: Simplify (- 1) into -1 7.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.259 * [backup-simplify]: Simplify (* 0 -1) into 0 7.259 * [backup-simplify]: Simplify (* -1 0) into 0 7.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.260 * [backup-simplify]: Simplify (- 0) into 0 7.260 * [backup-simplify]: Simplify (+ 1 0) into 1 7.260 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.261 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.261 * [backup-simplify]: Simplify (log 1) into 0 7.261 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 7.261 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 7.261 * [taylor]: Taking taylor expansion of -1 in N 7.261 * [backup-simplify]: Simplify -1 into -1 7.261 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.261 * [taylor]: Taking taylor expansion of N in N 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify 1 into 1 7.261 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.261 * [taylor]: Taking taylor expansion of 1 in N 7.261 * [backup-simplify]: Simplify 1 into 1 7.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.261 * [taylor]: Taking taylor expansion of N in N 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify 1 into 1 7.261 * [backup-simplify]: Simplify (/ 1 1) into 1 7.262 * [backup-simplify]: Simplify (- 1) into -1 7.262 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.262 * [backup-simplify]: Simplify (* 0 -1) into 0 7.262 * [backup-simplify]: Simplify (* -1 0) into 0 7.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.263 * [backup-simplify]: Simplify (- 0) into 0 7.263 * [backup-simplify]: Simplify (+ 1 0) into 1 7.264 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.264 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.264 * [backup-simplify]: Simplify (log 1) into 0 7.264 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.265 * [backup-simplify]: Simplify (- 0) into 0 7.265 * [backup-simplify]: Simplify (+ 0 0) into 0 7.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 7.266 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 7.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 7.267 * [backup-simplify]: Simplify -1 into -1 7.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.268 * [backup-simplify]: Simplify (- 0) into 0 7.268 * [backup-simplify]: Simplify (+ 0 0) into 0 7.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 7.270 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 7.271 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.271 * [backup-simplify]: Simplify -1/2 into -1/2 7.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.272 * [backup-simplify]: Simplify (- 0) into 0 7.272 * [backup-simplify]: Simplify (+ 0 0) into 0 7.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 7.274 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 7.277 * [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 7.277 * [backup-simplify]: Simplify -1/3 into -1/3 7.277 * [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)))) 7.277 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.277 * [backup-simplify]: Simplify (log (log (/ (+ 1 N) N))) into (log (log (/ (+ N 1) N))) 7.277 * [approximate]: Taking taylor expansion of (log (log (/ (+ N 1) N))) in (N) around 0 7.277 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1) N))) in N 7.277 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 7.277 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 7.277 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.277 * [taylor]: Taking taylor expansion of N in N 7.277 * [backup-simplify]: Simplify 0 into 0 7.277 * [backup-simplify]: Simplify 1 into 1 7.277 * [taylor]: Taking taylor expansion of 1 in N 7.277 * [backup-simplify]: Simplify 1 into 1 7.277 * [taylor]: Taking taylor expansion of N in N 7.277 * [backup-simplify]: Simplify 0 into 0 7.277 * [backup-simplify]: Simplify 1 into 1 7.278 * [backup-simplify]: Simplify (+ 0 1) into 1 7.278 * [backup-simplify]: Simplify (/ 1 1) into 1 7.278 * [backup-simplify]: Simplify (log 1) into 0 7.279 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.279 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.279 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 7.279 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1) N))) in N 7.279 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 7.279 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 7.279 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.279 * [taylor]: Taking taylor expansion of N in N 7.279 * [backup-simplify]: Simplify 0 into 0 7.279 * [backup-simplify]: Simplify 1 into 1 7.279 * [taylor]: Taking taylor expansion of 1 in N 7.279 * [backup-simplify]: Simplify 1 into 1 7.279 * [taylor]: Taking taylor expansion of N in N 7.279 * [backup-simplify]: Simplify 0 into 0 7.279 * [backup-simplify]: Simplify 1 into 1 7.279 * [backup-simplify]: Simplify (+ 0 1) into 1 7.280 * [backup-simplify]: Simplify (/ 1 1) into 1 7.280 * [backup-simplify]: Simplify (log 1) into 0 7.280 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.280 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.280 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 7.280 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 7.281 * [backup-simplify]: Simplify (+ 1 0) into 1 7.281 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 7.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.282 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) 7.283 * [backup-simplify]: Simplify (/ -1 (log N)) into (/ -1 (log N)) 7.283 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.283 * [backup-simplify]: Simplify (+ 0 0) into 0 7.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.285 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.286 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 7.287 * [backup-simplify]: Simplify (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 7.287 * [backup-simplify]: Simplify (+ (* (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) (pow N 2)) (+ (* (/ -1 (log N)) N) (log (- (log N))))) into (- (+ (* 1/2 (/ (pow N 2) (log N))) (log (- (log N)))) (+ (/ N (log N)) (* 1/2 (/ (pow N 2) (pow (log N) 2))))) 7.287 * [backup-simplify]: Simplify (log (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (log (* N (+ (/ 1 N) 1)))) 7.287 * [approximate]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1)))) in (N) around 0 7.287 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1)))) in N 7.287 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 7.287 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.287 * [taylor]: Taking taylor expansion of N in N 7.287 * [backup-simplify]: Simplify 0 into 0 7.287 * [backup-simplify]: Simplify 1 into 1 7.287 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.287 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.287 * [taylor]: Taking taylor expansion of N in N 7.287 * [backup-simplify]: Simplify 0 into 0 7.287 * [backup-simplify]: Simplify 1 into 1 7.288 * [backup-simplify]: Simplify (/ 1 1) into 1 7.288 * [taylor]: Taking taylor expansion of 1 in N 7.288 * [backup-simplify]: Simplify 1 into 1 7.288 * [backup-simplify]: Simplify (+ 1 0) into 1 7.288 * [backup-simplify]: Simplify (* 0 1) into 0 7.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.289 * [backup-simplify]: Simplify (+ 0 1) into 1 7.290 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.290 * [backup-simplify]: Simplify (log 1) into 0 7.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.291 * [backup-simplify]: Simplify (+ 0 0) into 0 7.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.292 * [backup-simplify]: Simplify (log 1) into 0 7.292 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1)))) in N 7.292 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 7.292 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.292 * [taylor]: Taking taylor expansion of N in N 7.292 * [backup-simplify]: Simplify 0 into 0 7.292 * [backup-simplify]: Simplify 1 into 1 7.292 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.292 * [taylor]: Taking taylor expansion of N in N 7.292 * [backup-simplify]: Simplify 0 into 0 7.292 * [backup-simplify]: Simplify 1 into 1 7.293 * [backup-simplify]: Simplify (/ 1 1) into 1 7.293 * [taylor]: Taking taylor expansion of 1 in N 7.293 * [backup-simplify]: Simplify 1 into 1 7.293 * [backup-simplify]: Simplify (+ 1 0) into 1 7.293 * [backup-simplify]: Simplify (* 0 1) into 0 7.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.295 * [backup-simplify]: Simplify (+ 0 1) into 1 7.295 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.296 * [backup-simplify]: Simplify (log 1) into 0 7.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.297 * [backup-simplify]: Simplify (+ 0 0) into 0 7.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.299 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 7.299 * [backup-simplify]: Simplify (log 1) into 0 7.300 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.300 * [backup-simplify]: Simplify (log N) into (log N) 7.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.301 * [backup-simplify]: Simplify (+ 0 0) into 0 7.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 7.305 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 7.306 * [backup-simplify]: Simplify -1/2 into -1/2 7.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.308 * [backup-simplify]: Simplify (+ 0 0) into 0 7.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 7.314 * [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 7.317 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 7.317 * [backup-simplify]: Simplify 5/24 into 5/24 7.317 * [backup-simplify]: Simplify (+ (* 5/24 (pow (/ 1 N) 2)) (+ (* -1/2 (/ 1 N)) (log (/ 1 N)))) into (- (+ (* 5/24 (/ 1 (pow N 2))) (log (/ 1 N))) (* 1/2 (/ 1 N))) 7.318 * [backup-simplify]: Simplify (log (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (log (* -1 (* N (- 1 (/ 1 N)))))) 7.318 * [approximate]: Taking taylor expansion of (log (log (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 7.318 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1 (/ 1 N)))))) in N 7.318 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 7.318 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 7.318 * [taylor]: Taking taylor expansion of -1 in N 7.318 * [backup-simplify]: Simplify -1 into -1 7.318 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.318 * [taylor]: Taking taylor expansion of N in N 7.318 * [backup-simplify]: Simplify 0 into 0 7.318 * [backup-simplify]: Simplify 1 into 1 7.318 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.318 * [taylor]: Taking taylor expansion of 1 in N 7.318 * [backup-simplify]: Simplify 1 into 1 7.318 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.318 * [taylor]: Taking taylor expansion of N in N 7.318 * [backup-simplify]: Simplify 0 into 0 7.318 * [backup-simplify]: Simplify 1 into 1 7.319 * [backup-simplify]: Simplify (/ 1 1) into 1 7.319 * [backup-simplify]: Simplify (- 1) into -1 7.319 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.320 * [backup-simplify]: Simplify (* 0 -1) into 0 7.320 * [backup-simplify]: Simplify (* -1 0) into 0 7.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.321 * [backup-simplify]: Simplify (- 0) into 0 7.322 * [backup-simplify]: Simplify (+ 1 0) into 1 7.322 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.323 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.323 * [backup-simplify]: Simplify (log 1) into 0 7.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.325 * [backup-simplify]: Simplify (- 0) into 0 7.325 * [backup-simplify]: Simplify (+ 0 0) into 0 7.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 7.327 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 7.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 7.328 * [backup-simplify]: Simplify (log -1) into (log -1) 7.328 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1 (/ 1 N)))))) in N 7.328 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 7.329 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 7.329 * [taylor]: Taking taylor expansion of -1 in N 7.329 * [backup-simplify]: Simplify -1 into -1 7.329 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.329 * [taylor]: Taking taylor expansion of N in N 7.329 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify 1 into 1 7.329 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.329 * [taylor]: Taking taylor expansion of 1 in N 7.329 * [backup-simplify]: Simplify 1 into 1 7.329 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.329 * [taylor]: Taking taylor expansion of N in N 7.329 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify 1 into 1 7.329 * [backup-simplify]: Simplify (/ 1 1) into 1 7.330 * [backup-simplify]: Simplify (- 1) into -1 7.330 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.330 * [backup-simplify]: Simplify (* 0 -1) into 0 7.331 * [backup-simplify]: Simplify (* -1 0) into 0 7.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.332 * [backup-simplify]: Simplify (- 0) into 0 7.332 * [backup-simplify]: Simplify (+ 1 0) into 1 7.333 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.334 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.334 * [backup-simplify]: Simplify (log 1) into 0 7.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.335 * [backup-simplify]: Simplify (- 0) into 0 7.335 * [backup-simplify]: Simplify (+ 0 0) into 0 7.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 7.337 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 7.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 7.339 * [backup-simplify]: Simplify (log -1) into (log -1) 7.340 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 7.340 * [backup-simplify]: Simplify (+ (log N) (log -1)) into (+ (log N) (log -1)) 7.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.342 * [backup-simplify]: Simplify (- 0) into 0 7.342 * [backup-simplify]: Simplify (+ 0 0) into 0 7.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 7.344 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 7.347 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 7.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 7.349 * [backup-simplify]: Simplify 1/2 into 1/2 7.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.350 * [backup-simplify]: Simplify (- 0) into 0 7.351 * [backup-simplify]: Simplify (+ 0 0) into 0 7.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 7.354 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 7.359 * [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 7.368 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 7.368 * [backup-simplify]: Simplify 5/24 into 5/24 7.369 * [backup-simplify]: Simplify (+ (* 5/24 (pow (/ 1 (- N)) 2)) (+ (* 1/2 (/ 1 (- N))) (+ (log (/ 1 (- N))) (log -1)))) into (- (+ (* 5/24 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (log -1))) (* 1/2 (/ 1 N))) 7.369 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 7.369 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 7.369 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 7.369 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 7.369 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.369 * [taylor]: Taking taylor expansion of N in N 7.369 * [backup-simplify]: Simplify 0 into 0 7.369 * [backup-simplify]: Simplify 1 into 1 7.369 * [taylor]: Taking taylor expansion of 1 in N 7.369 * [backup-simplify]: Simplify 1 into 1 7.369 * [taylor]: Taking taylor expansion of N in N 7.369 * [backup-simplify]: Simplify 0 into 0 7.369 * [backup-simplify]: Simplify 1 into 1 7.370 * [backup-simplify]: Simplify (+ 0 1) into 1 7.370 * [backup-simplify]: Simplify (/ 1 1) into 1 7.370 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 7.370 * [taylor]: Taking taylor expansion of (+ N 1) in N 7.370 * [taylor]: Taking taylor expansion of N in N 7.370 * [backup-simplify]: Simplify 0 into 0 7.370 * [backup-simplify]: Simplify 1 into 1 7.370 * [taylor]: Taking taylor expansion of 1 in N 7.370 * [backup-simplify]: Simplify 1 into 1 7.370 * [taylor]: Taking taylor expansion of N in N 7.370 * [backup-simplify]: Simplify 0 into 0 7.370 * [backup-simplify]: Simplify 1 into 1 7.370 * [backup-simplify]: Simplify (+ 0 1) into 1 7.370 * [backup-simplify]: Simplify (/ 1 1) into 1 7.371 * [backup-simplify]: Simplify 1 into 1 7.371 * [backup-simplify]: Simplify (+ 1 0) into 1 7.371 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 7.371 * [backup-simplify]: Simplify 1 into 1 7.372 * [backup-simplify]: Simplify (+ 0 0) into 0 7.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.372 * [backup-simplify]: Simplify 0 into 0 7.372 * [backup-simplify]: Simplify (+ 0 0) into 0 7.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.373 * [backup-simplify]: Simplify 0 into 0 7.373 * [backup-simplify]: Simplify (+ 0 0) into 0 7.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.374 * [backup-simplify]: Simplify 0 into 0 7.374 * [backup-simplify]: Simplify (+ 0 0) into 0 7.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.375 * [backup-simplify]: Simplify 0 into 0 7.375 * [backup-simplify]: Simplify (+ 0 0) into 0 7.375 * [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 7.375 * [backup-simplify]: Simplify 0 into 0 7.376 * [backup-simplify]: Simplify (+ 0 0) into 0 7.376 * [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 7.376 * [backup-simplify]: Simplify 0 into 0 7.376 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 7.376 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 7.376 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 7.376 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.376 * [taylor]: Taking taylor expansion of N in N 7.376 * [backup-simplify]: Simplify 0 into 0 7.376 * [backup-simplify]: Simplify 1 into 1 7.376 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.376 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.376 * [taylor]: Taking taylor expansion of N in N 7.377 * [backup-simplify]: Simplify 0 into 0 7.377 * [backup-simplify]: Simplify 1 into 1 7.377 * [backup-simplify]: Simplify (/ 1 1) into 1 7.377 * [taylor]: Taking taylor expansion of 1 in N 7.377 * [backup-simplify]: Simplify 1 into 1 7.377 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 7.377 * [taylor]: Taking taylor expansion of N in N 7.377 * [backup-simplify]: Simplify 0 into 0 7.377 * [backup-simplify]: Simplify 1 into 1 7.377 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 7.377 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.377 * [taylor]: Taking taylor expansion of N in N 7.377 * [backup-simplify]: Simplify 0 into 0 7.377 * [backup-simplify]: Simplify 1 into 1 7.377 * [backup-simplify]: Simplify (/ 1 1) into 1 7.377 * [taylor]: Taking taylor expansion of 1 in N 7.377 * [backup-simplify]: Simplify 1 into 1 7.378 * [backup-simplify]: Simplify (+ 1 0) into 1 7.378 * [backup-simplify]: Simplify (* 0 1) into 0 7.378 * [backup-simplify]: Simplify 0 into 0 7.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.379 * [backup-simplify]: Simplify (+ 0 1) into 1 7.379 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 7.379 * [backup-simplify]: Simplify 1 into 1 7.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.380 * [backup-simplify]: Simplify (+ 0 0) into 0 7.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 7.380 * [backup-simplify]: Simplify 1 into 1 7.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.381 * [backup-simplify]: Simplify (+ 0 0) into 0 7.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 7.382 * [backup-simplify]: Simplify 0 into 0 7.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.383 * [backup-simplify]: Simplify (+ 0 0) into 0 7.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 7.383 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.384 * [backup-simplify]: Simplify (+ 0 0) into 0 7.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 7.385 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.386 * [backup-simplify]: Simplify (+ 0 0) into 0 7.387 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 7.387 * [backup-simplify]: Simplify 0 into 0 7.387 * [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 7.387 * [backup-simplify]: Simplify (+ 0 0) into 0 7.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 7.388 * [backup-simplify]: Simplify 0 into 0 7.389 * [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 7.389 * [backup-simplify]: Simplify (+ 0 0) into 0 7.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 7.390 * [backup-simplify]: Simplify 0 into 0 7.390 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 7.390 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 7.390 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 7.390 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 7.391 * [taylor]: Taking taylor expansion of -1 in N 7.391 * [backup-simplify]: Simplify -1 into -1 7.391 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.391 * [taylor]: Taking taylor expansion of N in N 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.391 * [taylor]: Taking taylor expansion of 1 in N 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.391 * [taylor]: Taking taylor expansion of N in N 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [backup-simplify]: Simplify (/ 1 1) into 1 7.391 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 7.391 * [taylor]: Taking taylor expansion of -1 in N 7.391 * [backup-simplify]: Simplify -1 into -1 7.391 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 7.391 * [taylor]: Taking taylor expansion of N in N 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 7.391 * [taylor]: Taking taylor expansion of 1 in N 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.391 * [taylor]: Taking taylor expansion of N in N 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [backup-simplify]: Simplify (/ 1 1) into 1 7.392 * [backup-simplify]: Simplify (- 1) into -1 7.392 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.392 * [backup-simplify]: Simplify (* 0 -1) into 0 7.392 * [backup-simplify]: Simplify (* -1 0) into 0 7.392 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.393 * [backup-simplify]: Simplify (- 0) into 0 7.393 * [backup-simplify]: Simplify (+ 1 0) into 1 7.394 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 7.394 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 7.394 * [backup-simplify]: Simplify 1 into 1 7.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.395 * [backup-simplify]: Simplify (- 0) into 0 7.395 * [backup-simplify]: Simplify (+ 0 0) into 0 7.396 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 7.396 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 7.396 * [backup-simplify]: Simplify -1 into -1 7.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.397 * [backup-simplify]: Simplify (- 0) into 0 7.397 * [backup-simplify]: Simplify (+ 0 0) into 0 7.398 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 7.399 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 7.399 * [backup-simplify]: Simplify 0 into 0 7.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.400 * [backup-simplify]: Simplify (- 0) into 0 7.400 * [backup-simplify]: Simplify (+ 0 0) into 0 7.401 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 7.401 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 7.401 * [backup-simplify]: Simplify 0 into 0 7.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.402 * [backup-simplify]: Simplify (- 0) into 0 7.402 * [backup-simplify]: Simplify (+ 0 0) into 0 7.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 7.404 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 7.404 * [backup-simplify]: Simplify 0 into 0 7.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.405 * [backup-simplify]: Simplify (- 0) into 0 7.406 * [backup-simplify]: Simplify (+ 0 0) into 0 7.408 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 7.409 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 7.409 * [backup-simplify]: Simplify 0 into 0 7.410 * [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 7.411 * [backup-simplify]: Simplify (- 0) into 0 7.411 * [backup-simplify]: Simplify (+ 0 0) into 0 7.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 7.415 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 7.415 * [backup-simplify]: Simplify 0 into 0 7.416 * [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 7.417 * [backup-simplify]: Simplify (- 0) into 0 7.417 * [backup-simplify]: Simplify (+ 0 0) into 0 7.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 7.421 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 7.422 * [backup-simplify]: Simplify 0 into 0 7.422 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 7.422 * * * [progress]: simplifying candidates 7.422 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 7.422 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 7.422 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 7.422 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 7.422 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 7.422 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 7.422 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 7.422 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 21 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 24 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 7.423 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 28 / 105 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))))> 7.424 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 36 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 7.424 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 7.425 * * * * [progress]: [ 45 / 105 ] simplifiying candidate #real (real->posit16 (exp (log (log (/ (+ 1 N) N)))))))> 7.425 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 7.425 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 7.425 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 7.425 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 7.425 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 7.425 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 7.425 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 7.425 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 7.425 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 7.425 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 7.425 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 7.425 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 7.425 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 7.425 * * * * [progress]: [ 59 / 105 ] simplifiying candidate #real (real->posit16 (log (log (/ (+ 1 N) N)))))))> 7.425 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 7.425 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 7.425 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 67 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 68 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 71 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 72 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 7.426 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 92 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 93 / 105 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))))> 7.427 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 96 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 7.427 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 7.428 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 7.428 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 7.428 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 7.428 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 7.428 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 7.428 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 7.428 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 7.430 * [simplify]: Simplifying: (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log 1) (log (/ (+ 1 N) N)) (log (+ 1 N)) (log (/ 1 N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (exp (log (/ (+ 1 N) N))) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (exp 1) (exp (* (cbrt (log (log (/ (+ 1 N) N)))) (cbrt (log (log (/ (+ 1 N) N)))))) (exp (sqrt (log (log (/ (+ 1 N) N))))) (exp 1) (exp (log 1)) (exp (log (log (/ (+ 1 N) N)))) (exp (log (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))))) (exp (log (cbrt (log (/ (+ 1 N) N))))) (exp (log (sqrt (log (/ (+ 1 N) N))))) (exp (log (sqrt (log (/ (+ 1 N) N))))) (exp (log 1)) (exp (log (log (/ (+ 1 N) N)))) (log (exp (log (log (/ (+ 1 N) N))))) (exp (exp (log (log (/ (+ 1 N) N))))) (* (cbrt (exp (log (log (/ (+ 1 N) N))))) (cbrt (exp (log (log (/ (+ 1 N) N)))))) (cbrt (exp (log (log (/ (+ 1 N) N))))) (* (* (exp (log (log (/ (+ 1 N) N)))) (exp (log (log (/ (+ 1 N) N))))) (exp (log (log (/ (+ 1 N) N))))) (sqrt (exp (log (log (/ (+ 1 N) N))))) (sqrt (exp (log (log (/ (+ 1 N) N))))) (real->posit16 (exp (log (log (/ (+ 1 N) N))))) (log 1) (log (log (/ (+ 1 N) N))) (log (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N))))) (log (cbrt (log (/ (+ 1 N) N)))) (log (sqrt (log (/ (+ 1 N) N)))) (log (sqrt (log (/ (+ 1 N) N)))) (log 1) (log (log (/ (+ 1 N) N))) (log (log (/ (+ 1 N) N))) (log (log (log (/ (+ 1 N) N)))) (exp (log (log (/ (+ 1 N) N)))) (* (cbrt (log (log (/ (+ 1 N) N)))) (cbrt (log (log (/ (+ 1 N) N))))) (cbrt (log (log (/ (+ 1 N) N)))) (* (* (log (log (/ (+ 1 N) N))) (log (log (/ (+ 1 N) N)))) (log (log (/ (+ 1 N) N)))) (sqrt (log (log (/ (+ 1 N) N)))) (sqrt (log (log (/ (+ 1 N) N)))) (real->posit16 (log (log (/ (+ 1 N) N)))) (- (log (+ 1 N)) (log N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (/ (* (* (+ 1 N) (+ 1 N)) (+ 1 N)) (* (* N N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- (+ 1 N)) (- N) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (/ (+ 1 N) 1) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (* 1 1) (- (* N N) (* 1 N)))) (* N (- 1 N)) (real->posit16 (/ (+ 1 N) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- 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)))) (- (+ (* 1/2 (/ (pow N 2) (log N))) (log (- (log N)))) (+ (/ N (log N)) (* 1/2 (/ (pow N 2) (pow (log N) 2))))) (- (+ (* 5/24 (/ 1 (pow N 2))) (log (/ 1 N))) (* 1/2 (/ 1 N))) (- (+ (* 5/24 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (log -1))) (* 1/2 (/ 1 N))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 7.432 * * [simplify]: iteration 1: (151 enodes) 7.476 * * [simplify]: iteration 2: (313 enodes) 7.578 * * [simplify]: iteration 3: (711 enodes) 8.123 * * [simplify]: iteration 4: (1970 enodes) 10.251 * * [simplify]: Extracting #0: cost 80 inf + 0 10.253 * * [simplify]: Extracting #1: cost 626 inf + 3 10.259 * * [simplify]: Extracting #2: cost 1220 inf + 9510 10.286 * * [simplify]: Extracting #3: cost 765 inf + 113308 10.351 * * [simplify]: Extracting #4: cost 127 inf + 272887 10.436 * * [simplify]: Extracting #5: cost 4 inf + 309132 10.519 * * [simplify]: Extracting #6: cost 0 inf + 311658 10.597 * [simplify]: Simplified to: (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (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))) (log (cbrt (+ N 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))) (log (/ (sqrt (+ N 1)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) 0 (log (/ (+ N 1) N)) (log (+ N 1)) (- (log N)) (log (+ N 1)) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (/ (+ N 1) N) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (log (/ (+ N 1) N)) (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) E (exp (* (cbrt (log (log (/ (+ N 1) N)))) (cbrt (log (log (/ (+ N 1) N)))))) (exp (sqrt (log (log (/ (+ N 1) N))))) E 1 (log (/ (+ N 1) N)) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) 1 (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (/ (+ N 1) N) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (log (/ (+ N 1) N)) (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) 0 (log (log (/ (+ N 1) N))) (+ (log (cbrt (log (/ (+ N 1) N)))) (log (cbrt (log (/ (+ N 1) N))))) (log (cbrt (log (/ (+ N 1) N)))) (log (sqrt (log (/ (+ N 1) N)))) (log (sqrt (log (/ (+ N 1) N)))) 0 (log (log (/ (+ N 1) N))) (log (log (/ (+ N 1) N))) (log (log (log (/ (+ N 1) N)))) (log (/ (+ N 1) N)) (* (cbrt (log (log (/ (+ N 1) N)))) (cbrt (log (log (/ (+ N 1) N))))) (cbrt (log (log (/ (+ N 1) N)))) (* (log (log (/ (+ N 1) N))) (* (log (log (/ (+ N 1) N))) (log (log (/ (+ N 1) N))))) (sqrt (log (log (/ (+ N 1) N)))) (sqrt (log (log (/ (+ N 1) N)))) (real->posit16 (log (log (/ (+ N 1) N)))) (log (/ (+ N 1) N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (- -1 N) (- N) (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (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))) (/ (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)) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (+ N 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (+ (- (* (* N N) N) (* N N)) N) (- N (* N N)) (real->posit16 (/ (+ N 1) N)) (- N (+ (* (* N 1/2) N) (log N))) (+ (/ 1/3 (* (* N N) N)) (+ (/ -1/2 (* N N)) (/ 1 N))) (+ (/ 1/3 (* (* N N) N)) (+ (/ -1/2 (* N N)) (/ 1 N))) (- N (+ (* (* N 1/2) N) (log N))) (+ (/ 1/3 (* (* N N) N)) (+ (/ -1/2 (* N N)) (/ 1 N))) (+ (/ 1/3 (* (* N N) N)) (+ (/ -1/2 (* N N)) (/ 1 N))) (+ (log (- (log N))) (- (* (* N (/ N (log N))) (- 1/2 (/ 1/2 (log N)))) (/ N (log N)))) (- (+ (/ 5/24 (* N N)) (/ -1/2 N)) (log N)) (+ (+ (/ 5/24 (* N N)) (+ (log -1) (log (/ -1 N)))) (/ -1/2 N)) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 10.603 * * * [progress]: adding candidates to table 11.314 * [progress]: [Phase 3 of 3] Extracting. 11.314 * * [regime]: Finding splitpoints for: (# # # #) 11.315 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.316 * * * * [regimes]: Trying to branch on N from (# # # #) 11.373 * * * [regime]: Found split indices: #