21.374 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.084 * * * [progress]: [2/2] Setting up program. 0.089 * [progress]: [Phase 2 of 3] Improving. 0.089 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.089 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.089 * * [simplify]: iteration 0: 6 enodes 0.091 * * [simplify]: iteration 1: 11 enodes 0.093 * * [simplify]: iteration 2: 12 enodes 0.096 * * [simplify]: iteration complete: 12 enodes 0.096 * * [simplify]: Extracting #0: cost 1 inf + 0 0.096 * * [simplify]: Extracting #1: cost 4 inf + 0 0.096 * * [simplify]: Extracting #2: cost 6 inf + 0 0.096 * * [simplify]: Extracting #3: cost 4 inf + 183 0.097 * * [simplify]: Extracting #4: cost 0 inf + 560 0.097 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.098 * * [progress]: iteration 1 / 4 0.098 * * * [progress]: picking best candidate 0.101 * * * * [pick]: Picked # 0.102 * * * [progress]: localizing error 0.144 * * * [progress]: generating rewritten candidates 0.144 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.160 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.167 * * * [progress]: generating series expansions 0.167 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.167 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.167 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.167 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.167 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.167 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [taylor]: Taking taylor expansion of 1 in N 0.167 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (+ 0 1) into 1 0.168 * [backup-simplify]: Simplify (log 1) into 0 0.168 * [taylor]: Taking taylor expansion of (log N) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (log 1) into 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 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [taylor]: Taking taylor expansion of 1 in N 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (+ 0 1) into 1 0.170 * [backup-simplify]: Simplify (log 1) into 0 0.170 * [taylor]: Taking taylor expansion of (log N) in N 0.170 * [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 * [backup-simplify]: Simplify (log 1) into 0 0.171 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.171 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.171 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.171 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.171 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.180 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.181 * [backup-simplify]: Simplify (- 0) into 0 0.181 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.181 * [backup-simplify]: Simplify -1/2 into -1/2 0.181 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.182 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.182 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.182 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.182 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [taylor]: Taking taylor expansion of 1 in N 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (+ 1 0) into 1 0.183 * [backup-simplify]: Simplify (log 1) into 0 0.183 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [backup-simplify]: Simplify (log 1) into 0 0.184 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.184 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of 1 in N 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (+ 1 0) into 1 0.185 * [backup-simplify]: Simplify (log 1) into 0 0.185 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [backup-simplify]: Simplify (log 1) into 0 0.186 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.186 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.186 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.187 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 1) into 1 0.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify (+ 1 0) into 1 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 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 0.198 * [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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [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 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [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 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.211 * [backup-simplify]: Simplify 1/3 into 1/3 0.211 * [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)))) 0.211 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.212 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.212 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.212 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.212 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.212 * [taylor]: Taking taylor expansion of 1 in N 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.212 * [taylor]: Taking taylor expansion of N in N 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [backup-simplify]: Simplify (- 1) into -1 0.213 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.213 * [backup-simplify]: Simplify (log -1) into (log -1) 0.213 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.213 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.213 * [taylor]: Taking taylor expansion of -1 in N 0.213 * [backup-simplify]: Simplify -1 into -1 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ -1 1) into -1 0.214 * [backup-simplify]: Simplify (log -1) into (log -1) 0.214 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.214 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.214 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.214 * [taylor]: Taking taylor expansion of 1 in N 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.214 * [taylor]: Taking taylor expansion of N in N 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify (- 1) into -1 0.215 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.216 * [backup-simplify]: Simplify (log -1) into (log -1) 0.216 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.216 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.216 * [taylor]: Taking taylor expansion of -1 in N 0.216 * [backup-simplify]: Simplify -1 into -1 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ -1 1) into -1 0.217 * [backup-simplify]: Simplify (log -1) into (log -1) 0.218 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.218 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.219 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.220 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ 1 0) into 1 0.222 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.225 * [backup-simplify]: Simplify (+ -1 0) into -1 0.225 * [backup-simplify]: Simplify -1 into -1 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.233 * [backup-simplify]: Simplify -1/2 into -1/2 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 0.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.246 * [backup-simplify]: Simplify -1/3 into -1/3 0.246 * [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)))) 0.246 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.246 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.246 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.246 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.246 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.246 * [taylor]: Taking taylor expansion of N in N 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [taylor]: Taking taylor expansion of 1 in N 0.246 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (+ 0 1) into 1 0.247 * [backup-simplify]: Simplify (log 1) into 0 0.247 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.247 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.247 * [taylor]: Taking taylor expansion of N in N 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of 1 in N 0.247 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (+ 0 1) into 1 0.248 * [backup-simplify]: Simplify (log 1) into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (+ 1 0) into 1 0.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.256 * [backup-simplify]: Simplify -1/2 into -1/2 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [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 0.262 * [backup-simplify]: Simplify 1/3 into 1/3 0.262 * [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))) 0.262 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.262 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.262 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.262 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.262 * [taylor]: Taking taylor expansion of N in N 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [taylor]: Taking taylor expansion of 1 in N 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (+ 1 0) into 1 0.263 * [backup-simplify]: Simplify (log 1) into 0 0.263 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.263 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.263 * [taylor]: Taking taylor expansion of N in N 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [taylor]: Taking taylor expansion of 1 in N 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (+ 1 0) into 1 0.265 * [backup-simplify]: Simplify (log 1) into 0 0.265 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.265 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ 0 1) into 1 0.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.267 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.271 * [backup-simplify]: Simplify -1/2 into -1/2 0.271 * [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)))) 0.271 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.271 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.271 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.271 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.271 * [taylor]: Taking taylor expansion of 1 in N 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.271 * [taylor]: Taking taylor expansion of N in N 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [backup-simplify]: Simplify (- 1) into -1 0.272 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.273 * [backup-simplify]: Simplify (log -1) into (log -1) 0.273 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.273 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.273 * [taylor]: Taking taylor expansion of 1 in N 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.273 * [taylor]: Taking taylor expansion of N in N 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [backup-simplify]: Simplify (- 1) into -1 0.274 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.274 * [backup-simplify]: Simplify (log -1) into (log -1) 0.275 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.275 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 1 0) into 1 0.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.279 * [backup-simplify]: Simplify -1 into -1 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.282 * [backup-simplify]: Simplify -1/2 into -1/2 0.283 * [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)))) 0.283 * * * [progress]: simplifying candidates 0.283 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.283 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.283 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 16 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.284 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.285 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.285 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.286 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.286 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.286 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.286 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.286 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.286 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.287 * [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)))) 0.288 * * [simplify]: iteration 0: 97 enodes 0.312 * * [simplify]: iteration 1: 199 enodes 0.381 * * [simplify]: iteration 2: 463 enodes 0.577 * * [simplify]: iteration 3: 1350 enodes 1.596 * * [simplify]: iteration 4: 3864 enodes 2.580 * * [simplify]: iteration complete: 5000 enodes 2.580 * * [simplify]: Extracting #0: cost 41 inf + 0 2.581 * * [simplify]: Extracting #1: cost 269 inf + 1 2.586 * * [simplify]: Extracting #2: cost 697 inf + 1583 2.597 * * [simplify]: Extracting #3: cost 740 inf + 22713 2.641 * * [simplify]: Extracting #4: cost 379 inf + 101877 2.674 * * [simplify]: Extracting #5: cost 193 inf + 183061 2.710 * * [simplify]: Extracting #6: cost 32 inf + 221917 2.751 * * [simplify]: Extracting #7: cost 0 inf + 231379 2.800 * [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 (+ 1 N)) (+ (log (+ 1 N)) (log N))) (* (log N) (log N))) (- (log N)) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (+ (log N) (log (+ 1 N))) (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (- (log (+ 1 N)) (log (cbrt N))) (log (cbrt N))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (+ (- 1 N) (* N N))) (log N)) (+ (log N) (log (- N 1))) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (+ (log (cbrt (+ 1 N))) (log (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 (- 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)) (* -1/2 (* N N))) (+ (/ 1 N) (/ (+ (/ 1/3 N) -1/2) (* N N))) (+ (/ 1 N) (/ (+ (/ 1/3 N) -1/2) (* N N))) (+ (* (+ (* 1/3 N) -1/2) (* N N)) N) (+ (+ (log N) (/ 1 N)) (/ -1/2 (* N N))) (+ (+ (log N) (/ 1 N)) (/ -1/2 (* N N))) 2.803 * * * [progress]: adding candidates to table 2.987 * * [progress]: iteration 2 / 4 2.987 * * * [progress]: picking best candidate 3.002 * * * * [pick]: Picked # 3.002 * * * [progress]: localizing error 3.019 * * * [progress]: generating rewritten candidates 3.019 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.026 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.056 * * * [progress]: generating series expansions 3.057 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.057 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 3.057 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 3.057 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.057 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.057 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.057 * [taylor]: Taking taylor expansion of N in N 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 1 into 1 3.057 * [taylor]: Taking taylor expansion of 1 in N 3.057 * [backup-simplify]: Simplify 1 into 1 3.057 * [taylor]: Taking taylor expansion of N in N 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 1 into 1 3.057 * [backup-simplify]: Simplify (+ 0 1) into 1 3.058 * [backup-simplify]: Simplify (/ 1 1) into 1 3.058 * [backup-simplify]: Simplify (log 1) into 0 3.058 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.058 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.058 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.058 * [taylor]: Taking taylor expansion of N in N 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify 1 into 1 3.058 * [taylor]: Taking taylor expansion of 1 in N 3.058 * [backup-simplify]: Simplify 1 into 1 3.058 * [taylor]: Taking taylor expansion of N in N 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify 1 into 1 3.058 * [backup-simplify]: Simplify (+ 0 1) into 1 3.059 * [backup-simplify]: Simplify (/ 1 1) into 1 3.059 * [backup-simplify]: Simplify (log 1) into 0 3.059 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.059 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.059 * [backup-simplify]: Simplify (+ 1 0) into 1 3.060 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [backup-simplify]: Simplify (+ 0 0) into 0 3.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.063 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.063 * [backup-simplify]: Simplify -1/2 into -1/2 3.063 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 3.063 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 3.063 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 3.063 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.063 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.063 * [taylor]: Taking taylor expansion of N in N 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.063 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.063 * [taylor]: Taking taylor expansion of N in N 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 1 into 1 3.064 * [backup-simplify]: Simplify (/ 1 1) into 1 3.064 * [taylor]: Taking taylor expansion of 1 in N 3.064 * [backup-simplify]: Simplify 1 into 1 3.064 * [backup-simplify]: Simplify (+ 1 0) into 1 3.064 * [backup-simplify]: Simplify (* 0 1) into 0 3.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.065 * [backup-simplify]: Simplify (+ 0 1) into 1 3.065 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.066 * [backup-simplify]: Simplify (log 1) into 0 3.066 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.066 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.066 * [taylor]: Taking taylor expansion of N in N 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 1 into 1 3.066 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.066 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.066 * [taylor]: Taking taylor expansion of N in N 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 1 into 1 3.066 * [backup-simplify]: Simplify (/ 1 1) into 1 3.066 * [taylor]: Taking taylor expansion of 1 in N 3.066 * [backup-simplify]: Simplify 1 into 1 3.066 * [backup-simplify]: Simplify (+ 1 0) into 1 3.067 * [backup-simplify]: Simplify (* 0 1) into 0 3.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.067 * [backup-simplify]: Simplify (+ 0 1) into 1 3.068 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.068 * [backup-simplify]: Simplify (log 1) into 0 3.068 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.069 * [backup-simplify]: Simplify (+ 0 0) into 0 3.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.070 * [backup-simplify]: Simplify 1 into 1 3.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.071 * [backup-simplify]: Simplify (+ 0 0) into 0 3.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.073 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.073 * [backup-simplify]: Simplify -1/2 into -1/2 3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.074 * [backup-simplify]: Simplify (+ 0 0) into 0 3.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.077 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 3.077 * [backup-simplify]: Simplify 1/3 into 1/3 3.077 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.077 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 3.077 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 3.078 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.078 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.078 * [taylor]: Taking taylor expansion of -1 in N 3.078 * [backup-simplify]: Simplify -1 into -1 3.078 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.078 * [taylor]: Taking taylor expansion of N in N 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 1 into 1 3.078 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.078 * [taylor]: Taking taylor expansion of 1 in N 3.078 * [backup-simplify]: Simplify 1 into 1 3.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.078 * [taylor]: Taking taylor expansion of N in N 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify 1 into 1 3.078 * [backup-simplify]: Simplify (/ 1 1) into 1 3.078 * [backup-simplify]: Simplify (- 1) into -1 3.078 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.079 * [backup-simplify]: Simplify (* 0 -1) into 0 3.079 * [backup-simplify]: Simplify (* -1 0) into 0 3.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.080 * [backup-simplify]: Simplify (- 0) into 0 3.080 * [backup-simplify]: Simplify (+ 1 0) into 1 3.080 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.081 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.081 * [backup-simplify]: Simplify (log 1) into 0 3.081 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.081 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.081 * [taylor]: Taking taylor expansion of -1 in N 3.081 * [backup-simplify]: Simplify -1 into -1 3.081 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.081 * [taylor]: Taking taylor expansion of N in N 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 1 into 1 3.081 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.081 * [taylor]: Taking taylor expansion of 1 in N 3.081 * [backup-simplify]: Simplify 1 into 1 3.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.081 * [taylor]: Taking taylor expansion of N in N 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 1 into 1 3.081 * [backup-simplify]: Simplify (/ 1 1) into 1 3.082 * [backup-simplify]: Simplify (- 1) into -1 3.082 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.082 * [backup-simplify]: Simplify (* 0 -1) into 0 3.082 * [backup-simplify]: Simplify (* -1 0) into 0 3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (- 0) into 0 3.083 * [backup-simplify]: Simplify (+ 1 0) into 1 3.084 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.085 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.085 * [backup-simplify]: Simplify (log 1) into 0 3.085 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (- 0) into 0 3.087 * [backup-simplify]: Simplify (+ 0 0) into 0 3.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.089 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.090 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.090 * [backup-simplify]: Simplify -1 into -1 3.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.091 * [backup-simplify]: Simplify (- 0) into 0 3.092 * [backup-simplify]: Simplify (+ 0 0) into 0 3.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.094 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.097 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.097 * [backup-simplify]: Simplify -1/2 into -1/2 3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.099 * [backup-simplify]: Simplify (- 0) into 0 3.099 * [backup-simplify]: Simplify (+ 0 0) into 0 3.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.107 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 3.107 * [backup-simplify]: Simplify -1/3 into -1/3 3.108 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.108 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.108 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 3.108 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 3.108 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.108 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.108 * [taylor]: Taking taylor expansion of N in N 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 1 into 1 3.109 * [taylor]: Taking taylor expansion of 1 in N 3.109 * [backup-simplify]: Simplify 1 into 1 3.109 * [taylor]: Taking taylor expansion of N in N 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 1 into 1 3.109 * [backup-simplify]: Simplify (+ 0 1) into 1 3.110 * [backup-simplify]: Simplify (/ 1 1) into 1 3.110 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.110 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.110 * [taylor]: Taking taylor expansion of N in N 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 1 into 1 3.110 * [taylor]: Taking taylor expansion of 1 in N 3.110 * [backup-simplify]: Simplify 1 into 1 3.110 * [taylor]: Taking taylor expansion of N in N 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 1 into 1 3.110 * [backup-simplify]: Simplify (+ 0 1) into 1 3.111 * [backup-simplify]: Simplify (/ 1 1) into 1 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify (+ 1 0) into 1 3.112 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.112 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (+ 0 0) into 0 3.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.113 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify (+ 0 0) into 0 3.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify (+ 0 0) into 0 3.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify (+ 0 0) into 0 3.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify (+ 0 0) into 0 3.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify (+ 0 0) into 0 3.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 3.121 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 3.121 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 3.121 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.121 * [taylor]: Taking taylor expansion of N in N 3.121 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.122 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.122 * [taylor]: Taking taylor expansion of N in N 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [backup-simplify]: Simplify (/ 1 1) into 1 3.122 * [taylor]: Taking taylor expansion of 1 in N 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.122 * [taylor]: Taking taylor expansion of N in N 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.122 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.122 * [taylor]: Taking taylor expansion of N in N 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (/ 1 1) into 1 3.123 * [taylor]: Taking taylor expansion of 1 in N 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (+ 1 0) into 1 3.124 * [backup-simplify]: Simplify (* 0 1) into 0 3.124 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.125 * [backup-simplify]: Simplify (+ 0 1) into 1 3.126 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.126 * [backup-simplify]: Simplify 1 into 1 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (+ 0 0) into 0 3.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.128 * [backup-simplify]: Simplify 1 into 1 3.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.129 * [backup-simplify]: Simplify (+ 0 0) into 0 3.130 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.130 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (+ 0 0) into 0 3.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.133 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (+ 0 0) into 0 3.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.137 * [backup-simplify]: Simplify (+ 0 0) into 0 3.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 3.139 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.140 * [backup-simplify]: Simplify (+ 0 0) into 0 3.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 3.142 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (+ 0 0) into 0 3.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 3.146 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 3.146 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 3.146 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.146 * [taylor]: Taking taylor expansion of -1 in N 3.146 * [backup-simplify]: Simplify -1 into -1 3.146 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.146 * [taylor]: Taking taylor expansion of N in N 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.146 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.146 * [taylor]: Taking taylor expansion of 1 in N 3.146 * [backup-simplify]: Simplify 1 into 1 3.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.146 * [taylor]: Taking taylor expansion of N in N 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.146 * [backup-simplify]: Simplify (/ 1 1) into 1 3.146 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.147 * [taylor]: Taking taylor expansion of -1 in N 3.147 * [backup-simplify]: Simplify -1 into -1 3.147 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.147 * [taylor]: Taking taylor expansion of N in N 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 1 into 1 3.147 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.147 * [taylor]: Taking taylor expansion of 1 in N 3.147 * [backup-simplify]: Simplify 1 into 1 3.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.147 * [taylor]: Taking taylor expansion of N in N 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 1 into 1 3.147 * [backup-simplify]: Simplify (/ 1 1) into 1 3.148 * [backup-simplify]: Simplify (- 1) into -1 3.148 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.149 * [backup-simplify]: Simplify (* 0 -1) into 0 3.149 * [backup-simplify]: Simplify (* -1 0) into 0 3.149 * [backup-simplify]: Simplify 0 into 0 3.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (- 0) into 0 3.151 * [backup-simplify]: Simplify (+ 1 0) into 1 3.151 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.152 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.152 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.153 * [backup-simplify]: Simplify (- 0) into 0 3.154 * [backup-simplify]: Simplify (+ 0 0) into 0 3.155 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.156 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.156 * [backup-simplify]: Simplify -1 into -1 3.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.157 * [backup-simplify]: Simplify (- 0) into 0 3.158 * [backup-simplify]: Simplify (+ 0 0) into 0 3.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.160 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.160 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.162 * [backup-simplify]: Simplify (- 0) into 0 3.162 * [backup-simplify]: Simplify (+ 0 0) into 0 3.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.165 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.165 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.167 * [backup-simplify]: Simplify (- 0) into 0 3.167 * [backup-simplify]: Simplify (+ 0 0) into 0 3.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 3.171 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 3.171 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.172 * [backup-simplify]: Simplify (- 0) into 0 3.173 * [backup-simplify]: Simplify (+ 0 0) into 0 3.175 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 3.178 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.183 * [backup-simplify]: Simplify (- 0) into 0 3.183 * [backup-simplify]: Simplify (+ 0 0) into 0 3.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 3.188 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 3.188 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.189 * [backup-simplify]: Simplify (- 0) into 0 3.189 * [backup-simplify]: Simplify (+ 0 0) into 0 3.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 3.192 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 3.192 * * * [progress]: simplifying candidates 3.192 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 3.192 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 3.192 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 3.192 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 3.192 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 3.192 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 3.192 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 3.192 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 3.192 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 3.192 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 3.192 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 3.192 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 3.192 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 3.192 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 3.192 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 3.193 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 3.193 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 3.194 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 3.194 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 3.195 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log 1) (log (/ (+ N 1) N)) (log (+ N 1)) (log (/ 1 N)) (log (+ N 1)) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (exp (log (/ (+ N 1) N))) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (- (log (+ N 1)) (log N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (/ (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (- (+ N 1)) (- N) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ N 1)) (sqrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1) (/ (cbrt (+ N 1)) N) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) 1) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (/ (+ N 1) 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (* N (+ (* N N) (- (* 1 1) (* N 1)))) (* N (- N 1)) (real->posit16 (/ (+ N 1) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 3.196 * * [simplify]: iteration 0: 102 enodes 3.224 * * [simplify]: iteration 1: 233 enodes 3.290 * * [simplify]: iteration 2: 620 enodes 3.634 * * [simplify]: iteration 3: 2563 enodes 4.433 * * [simplify]: iteration complete: 5021 enodes 4.434 * * [simplify]: Extracting #0: cost 65 inf + 0 4.436 * * [simplify]: Extracting #1: cost 811 inf + 2 4.446 * * [simplify]: Extracting #2: cost 1697 inf + 7911 4.481 * * [simplify]: Extracting #3: cost 1456 inf + 130242 4.558 * * [simplify]: Extracting #4: cost 392 inf + 384181 4.637 * * [simplify]: Extracting #5: cost 10 inf + 502968 4.712 * * [simplify]: Extracting #6: cost 0 inf + 506109 4.805 * [simplify]: Simplified to: (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log (+ 1 N)) (- (log N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 1 N) N) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- -1 N) (- N) (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N)))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (/ (+ 1 N) (cbrt N)) (cbrt N)) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (- 1 N) (* N N))) (* (- N 1) N) (real->posit16 (/ (+ 1 N) N)) (+ (- N (log N)) (* -1/2 (* N N))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* N (* N N))))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* N (* N N))))) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) 4.810 * * * [progress]: adding candidates to table 5.092 * * [progress]: iteration 3 / 4 5.092 * * * [progress]: picking best candidate 5.106 * * * * [pick]: Picked # 5.106 * * * [progress]: localizing error 5.133 * * * [progress]: generating rewritten candidates 5.133 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.149 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.153 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.174 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 5.188 * * * [progress]: generating series expansions 5.188 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.188 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N))) into (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) 5.188 * [approximate]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in (N) around 0 5.188 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 5.188 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 5.188 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.188 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.188 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.188 * [taylor]: Taking taylor expansion of N in N 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 1 into 1 5.188 * [taylor]: Taking taylor expansion of 1 in N 5.188 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (+ 0 1) into 1 5.189 * [backup-simplify]: Simplify (sqrt 1) into 1 5.189 * [backup-simplify]: Simplify (+ 1 0) into 1 5.190 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.190 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.190 * [taylor]: Taking taylor expansion of N in N 5.190 * [backup-simplify]: Simplify 0 into 0 5.190 * [backup-simplify]: Simplify 1 into 1 5.190 * [backup-simplify]: Simplify (/ 1 1) into 1 5.190 * [backup-simplify]: Simplify (* 1 1) into 1 5.191 * [backup-simplify]: Simplify (log 1) into 0 5.191 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.191 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.191 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.191 * [taylor]: Taking taylor expansion of N in N 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify 1 into 1 5.191 * [taylor]: Taking taylor expansion of 1 in N 5.191 * [backup-simplify]: Simplify 1 into 1 5.191 * [backup-simplify]: Simplify (+ 0 1) into 1 5.191 * [backup-simplify]: Simplify (sqrt 1) into 1 5.192 * [backup-simplify]: Simplify (+ 1 0) into 1 5.192 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.192 * [backup-simplify]: Simplify (log 1) into 0 5.192 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 5.192 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 5.192 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.192 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.192 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.192 * [taylor]: Taking taylor expansion of N in N 5.192 * [backup-simplify]: Simplify 0 into 0 5.192 * [backup-simplify]: Simplify 1 into 1 5.192 * [taylor]: Taking taylor expansion of 1 in N 5.192 * [backup-simplify]: Simplify 1 into 1 5.193 * [backup-simplify]: Simplify (+ 0 1) into 1 5.193 * [backup-simplify]: Simplify (sqrt 1) into 1 5.193 * [backup-simplify]: Simplify (+ 1 0) into 1 5.194 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.194 * [taylor]: Taking taylor expansion of N in N 5.194 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify 1 into 1 5.194 * [backup-simplify]: Simplify (/ 1 1) into 1 5.194 * [backup-simplify]: Simplify (* 1 1) into 1 5.194 * [backup-simplify]: Simplify (log 1) into 0 5.194 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.194 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.194 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.194 * [taylor]: Taking taylor expansion of N in N 5.194 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify 1 into 1 5.194 * [taylor]: Taking taylor expansion of 1 in N 5.194 * [backup-simplify]: Simplify 1 into 1 5.195 * [backup-simplify]: Simplify (+ 0 1) into 1 5.195 * [backup-simplify]: Simplify (sqrt 1) into 1 5.195 * [backup-simplify]: Simplify (+ 1 0) into 1 5.196 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.196 * [backup-simplify]: Simplify (log 1) into 0 5.196 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.196 * [backup-simplify]: Simplify (+ (- (log N)) 0) into (- (log N)) 5.196 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 5.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.199 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.199 * [backup-simplify]: Simplify 1 into 1 5.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.200 * [backup-simplify]: Simplify (+ 0 0) into 0 5.201 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 5.203 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.203 * [backup-simplify]: Simplify (+ 0 0) into 0 5.204 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.210 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.210 * [backup-simplify]: Simplify (+ -1/4 -1/4) into -1/2 5.210 * [backup-simplify]: Simplify -1/2 into -1/2 5.211 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 5.211 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ (/ 1 N) 1)) 1)) (log (/ (sqrt (+ (/ 1 N) 1)) (/ 1 N)))) into (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) 5.211 * [approximate]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in (N) around 0 5.211 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 5.211 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 5.211 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.211 * [taylor]: Taking taylor expansion of N in N 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.211 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.211 * [taylor]: Taking taylor expansion of N in N 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [backup-simplify]: Simplify (/ 1 1) into 1 5.211 * [taylor]: Taking taylor expansion of 1 in N 5.211 * [backup-simplify]: Simplify 1 into 1 5.212 * [backup-simplify]: Simplify (+ 1 0) into 1 5.212 * [backup-simplify]: Simplify (sqrt 0) into 0 5.213 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.214 * [backup-simplify]: Simplify (* 0 0) into 0 5.214 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.215 * [backup-simplify]: Simplify (+ 0 1) into 1 5.217 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.218 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.219 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.219 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.219 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.219 * [taylor]: Taking taylor expansion of N in N 5.219 * [backup-simplify]: Simplify 0 into 0 5.219 * [backup-simplify]: Simplify 1 into 1 5.219 * [backup-simplify]: Simplify (/ 1 1) into 1 5.219 * [taylor]: Taking taylor expansion of 1 in N 5.219 * [backup-simplify]: Simplify 1 into 1 5.220 * [backup-simplify]: Simplify (+ 1 0) into 1 5.220 * [backup-simplify]: Simplify (sqrt 0) into 0 5.221 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.221 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.221 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 5.221 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 5.221 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.221 * [taylor]: Taking taylor expansion of N in N 5.221 * [backup-simplify]: Simplify 0 into 0 5.221 * [backup-simplify]: Simplify 1 into 1 5.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.221 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.221 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.221 * [taylor]: Taking taylor expansion of N in N 5.221 * [backup-simplify]: Simplify 0 into 0 5.221 * [backup-simplify]: Simplify 1 into 1 5.221 * [backup-simplify]: Simplify (/ 1 1) into 1 5.221 * [taylor]: Taking taylor expansion of 1 in N 5.221 * [backup-simplify]: Simplify 1 into 1 5.222 * [backup-simplify]: Simplify (+ 1 0) into 1 5.222 * [backup-simplify]: Simplify (sqrt 0) into 0 5.223 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.223 * [backup-simplify]: Simplify (* 0 0) into 0 5.223 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.224 * [backup-simplify]: Simplify (+ 0 1) into 1 5.226 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.228 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.228 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.228 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.228 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.228 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.228 * [taylor]: Taking taylor expansion of N in N 5.228 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify 1 into 1 5.229 * [backup-simplify]: Simplify (/ 1 1) into 1 5.229 * [taylor]: Taking taylor expansion of 1 in N 5.229 * [backup-simplify]: Simplify 1 into 1 5.229 * [backup-simplify]: Simplify (+ 1 0) into 1 5.229 * [backup-simplify]: Simplify (sqrt 0) into 0 5.230 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.230 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.231 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 5.232 * [backup-simplify]: Simplify (+ (+ (log (- +nan.0)) (log N)) (log +nan.0)) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 5.233 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 5.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.233 * [backup-simplify]: Simplify (+ 0 0) into 0 5.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.238 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.243 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.244 * [backup-simplify]: Simplify (+ 0 1) into 1 5.246 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.250 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.250 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.251 * [backup-simplify]: Simplify (+ 0 0) into 0 5.255 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.258 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.275 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 5.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.276 * [backup-simplify]: Simplify (+ 0 0) into 0 5.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.295 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.296 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.296 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.298 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log (/ 1 N)) (log +nan.0))))) into (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.298 * [backup-simplify]: Simplify (+ (log (/ (sqrt (+ (/ 1 (- N)) 1)) 1)) (log (/ (sqrt (+ (/ 1 (- N)) 1)) (/ 1 (- N))))) into (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) 5.298 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in (N) around 0 5.299 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 5.299 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.299 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.299 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.299 * [taylor]: Taking taylor expansion of 1 in N 5.299 * [backup-simplify]: Simplify 1 into 1 5.299 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.299 * [taylor]: Taking taylor expansion of N in N 5.299 * [backup-simplify]: Simplify 0 into 0 5.299 * [backup-simplify]: Simplify 1 into 1 5.299 * [backup-simplify]: Simplify (/ 1 1) into 1 5.300 * [backup-simplify]: Simplify (- 1) into -1 5.300 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.300 * [backup-simplify]: Simplify (sqrt 0) into 0 5.302 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.302 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.302 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 5.302 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.302 * [taylor]: Taking taylor expansion of -1 in N 5.302 * [backup-simplify]: Simplify -1 into -1 5.302 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.302 * [taylor]: Taking taylor expansion of N in N 5.302 * [backup-simplify]: Simplify 0 into 0 5.302 * [backup-simplify]: Simplify 1 into 1 5.302 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.302 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.302 * [taylor]: Taking taylor expansion of 1 in N 5.302 * [backup-simplify]: Simplify 1 into 1 5.302 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.302 * [taylor]: Taking taylor expansion of N in N 5.302 * [backup-simplify]: Simplify 0 into 0 5.302 * [backup-simplify]: Simplify 1 into 1 5.303 * [backup-simplify]: Simplify (/ 1 1) into 1 5.303 * [backup-simplify]: Simplify (- 1) into -1 5.303 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.304 * [backup-simplify]: Simplify (sqrt 0) into 0 5.305 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.306 * [backup-simplify]: Simplify (* 0 0) into 0 5.306 * [backup-simplify]: Simplify (* -1 0) into 0 5.307 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.307 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.309 * [backup-simplify]: Simplify (- 0) into 0 5.309 * [backup-simplify]: Simplify (+ 1 0) into 1 5.312 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.315 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.318 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.319 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.319 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 5.319 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.319 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.319 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.319 * [taylor]: Taking taylor expansion of 1 in N 5.319 * [backup-simplify]: Simplify 1 into 1 5.319 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.319 * [taylor]: Taking taylor expansion of N in N 5.319 * [backup-simplify]: Simplify 0 into 0 5.319 * [backup-simplify]: Simplify 1 into 1 5.320 * [backup-simplify]: Simplify (/ 1 1) into 1 5.327 * [backup-simplify]: Simplify (- 1) into -1 5.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.329 * [backup-simplify]: Simplify (sqrt 0) into 0 5.330 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.331 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.331 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 5.331 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.331 * [taylor]: Taking taylor expansion of -1 in N 5.331 * [backup-simplify]: Simplify -1 into -1 5.331 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.331 * [taylor]: Taking taylor expansion of N in N 5.331 * [backup-simplify]: Simplify 0 into 0 5.331 * [backup-simplify]: Simplify 1 into 1 5.331 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.331 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.331 * [taylor]: Taking taylor expansion of 1 in N 5.331 * [backup-simplify]: Simplify 1 into 1 5.331 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.331 * [taylor]: Taking taylor expansion of N in N 5.331 * [backup-simplify]: Simplify 0 into 0 5.331 * [backup-simplify]: Simplify 1 into 1 5.331 * [backup-simplify]: Simplify (/ 1 1) into 1 5.332 * [backup-simplify]: Simplify (- 1) into -1 5.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.332 * [backup-simplify]: Simplify (sqrt 0) into 0 5.333 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.333 * [backup-simplify]: Simplify (* 0 0) into 0 5.334 * [backup-simplify]: Simplify (* -1 0) into 0 5.334 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.334 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.335 * [backup-simplify]: Simplify (- 0) into 0 5.335 * [backup-simplify]: Simplify (+ 1 0) into 1 5.337 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.339 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.340 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.341 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.342 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 5.342 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 5.343 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 5.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.344 * [backup-simplify]: Simplify (- 0) into 0 5.344 * [backup-simplify]: Simplify (+ 1 0) into 1 5.346 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.350 * [backup-simplify]: Simplify (- 0) into 0 5.350 * [backup-simplify]: Simplify (+ 0 0) into 0 5.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.355 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.356 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 5.361 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.361 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.362 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.362 * [backup-simplify]: Simplify (- 0) into 0 5.363 * [backup-simplify]: Simplify (+ 0 0) into 0 5.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.380 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.381 * [backup-simplify]: Simplify (- 0) into 0 5.381 * [backup-simplify]: Simplify (+ 0 0) into 0 5.386 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.390 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.394 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 5.408 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 5.408 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.408 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.410 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.410 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.410 * [backup-simplify]: Simplify (log (/ (sqrt (+ N 1)) 1)) into (log (sqrt (+ N 1))) 5.410 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 5.410 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.410 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.410 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.410 * [taylor]: Taking taylor expansion of N in N 5.410 * [backup-simplify]: Simplify 0 into 0 5.410 * [backup-simplify]: Simplify 1 into 1 5.410 * [taylor]: Taking taylor expansion of 1 in N 5.410 * [backup-simplify]: Simplify 1 into 1 5.410 * [backup-simplify]: Simplify (+ 0 1) into 1 5.411 * [backup-simplify]: Simplify (sqrt 1) into 1 5.411 * [backup-simplify]: Simplify (+ 1 0) into 1 5.411 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.411 * [backup-simplify]: Simplify (log 1) into 0 5.411 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.411 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.411 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.411 * [taylor]: Taking taylor expansion of N in N 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify 1 into 1 5.412 * [taylor]: Taking taylor expansion of 1 in N 5.412 * [backup-simplify]: Simplify 1 into 1 5.412 * [backup-simplify]: Simplify (+ 0 1) into 1 5.412 * [backup-simplify]: Simplify (sqrt 1) into 1 5.412 * [backup-simplify]: Simplify (+ 1 0) into 1 5.413 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.413 * [backup-simplify]: Simplify (log 1) into 0 5.413 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.414 * [backup-simplify]: Simplify 1/2 into 1/2 5.414 * [backup-simplify]: Simplify (+ 0 0) into 0 5.415 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.416 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.416 * [backup-simplify]: Simplify -1/4 into -1/4 5.417 * [backup-simplify]: Simplify (+ 0 0) into 0 5.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.420 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 5.420 * [backup-simplify]: Simplify 1/6 into 1/6 5.421 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 5.421 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 N) 1)) 1)) into (log (sqrt (+ (/ 1 N) 1))) 5.421 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 5.421 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.421 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.421 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.421 * [taylor]: Taking taylor expansion of N in N 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify 1 into 1 5.421 * [backup-simplify]: Simplify (/ 1 1) into 1 5.421 * [taylor]: Taking taylor expansion of 1 in N 5.421 * [backup-simplify]: Simplify 1 into 1 5.421 * [backup-simplify]: Simplify (+ 1 0) into 1 5.422 * [backup-simplify]: Simplify (sqrt 0) into 0 5.423 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.423 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.423 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.423 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.423 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.423 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.423 * [taylor]: Taking taylor expansion of N in N 5.423 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify 1 into 1 5.423 * [backup-simplify]: Simplify (/ 1 1) into 1 5.423 * [taylor]: Taking taylor expansion of 1 in N 5.423 * [backup-simplify]: Simplify 1 into 1 5.423 * [backup-simplify]: Simplify (+ 1 0) into 1 5.424 * [backup-simplify]: Simplify (sqrt 0) into 0 5.424 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.425 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.425 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.430 * [backup-simplify]: Simplify (+ 0 1) into 1 5.432 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.438 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.439 * [backup-simplify]: Simplify (+ 0 0) into 0 5.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.458 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.458 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.458 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 (- N)) 1)) 1)) into (log (sqrt (- 1 (/ 1 N)))) 5.458 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 5.458 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.458 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.458 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.458 * [taylor]: Taking taylor expansion of 1 in N 5.458 * [backup-simplify]: Simplify 1 into 1 5.458 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.459 * [taylor]: Taking taylor expansion of N in N 5.459 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify 1 into 1 5.459 * [backup-simplify]: Simplify (/ 1 1) into 1 5.459 * [backup-simplify]: Simplify (- 1) into -1 5.460 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.460 * [backup-simplify]: Simplify (sqrt 0) into 0 5.462 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.462 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.462 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.462 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.462 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.462 * [taylor]: Taking taylor expansion of 1 in N 5.462 * [backup-simplify]: Simplify 1 into 1 5.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.462 * [taylor]: Taking taylor expansion of N in N 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify 1 into 1 5.463 * [backup-simplify]: Simplify (/ 1 1) into 1 5.463 * [backup-simplify]: Simplify (- 1) into -1 5.463 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.464 * [backup-simplify]: Simplify (sqrt 0) into 0 5.465 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.466 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.466 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.467 * [backup-simplify]: Simplify (- 0) into 0 5.468 * [backup-simplify]: Simplify (+ 1 0) into 1 5.471 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.475 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.475 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.476 * [backup-simplify]: Simplify (- 0) into 0 5.476 * [backup-simplify]: Simplify (+ 0 0) into 0 5.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.487 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.487 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.487 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.487 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.487 * [backup-simplify]: Simplify (/ (sqrt (+ N 1)) N) into (* (sqrt (+ N 1)) (/ 1 N)) 5.487 * [approximate]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in (N) around 0 5.487 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.487 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.487 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.487 * [taylor]: Taking taylor expansion of N in N 5.487 * [backup-simplify]: Simplify 0 into 0 5.487 * [backup-simplify]: Simplify 1 into 1 5.487 * [taylor]: Taking taylor expansion of 1 in N 5.487 * [backup-simplify]: Simplify 1 into 1 5.488 * [backup-simplify]: Simplify (+ 0 1) into 1 5.488 * [backup-simplify]: Simplify (sqrt 1) into 1 5.488 * [backup-simplify]: Simplify (+ 1 0) into 1 5.489 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.489 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.489 * [taylor]: Taking taylor expansion of N in N 5.489 * [backup-simplify]: Simplify 0 into 0 5.489 * [backup-simplify]: Simplify 1 into 1 5.489 * [backup-simplify]: Simplify (/ 1 1) into 1 5.489 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.489 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.489 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.489 * [taylor]: Taking taylor expansion of N in N 5.489 * [backup-simplify]: Simplify 0 into 0 5.489 * [backup-simplify]: Simplify 1 into 1 5.489 * [taylor]: Taking taylor expansion of 1 in N 5.489 * [backup-simplify]: Simplify 1 into 1 5.489 * [backup-simplify]: Simplify (+ 0 1) into 1 5.490 * [backup-simplify]: Simplify (sqrt 1) into 1 5.490 * [backup-simplify]: Simplify (+ 1 0) into 1 5.490 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.490 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.490 * [taylor]: Taking taylor expansion of N in N 5.490 * [backup-simplify]: Simplify 0 into 0 5.490 * [backup-simplify]: Simplify 1 into 1 5.491 * [backup-simplify]: Simplify (/ 1 1) into 1 5.491 * [backup-simplify]: Simplify (* 1 1) into 1 5.491 * [backup-simplify]: Simplify 1 into 1 5.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 5.492 * [backup-simplify]: Simplify 1/2 into 1/2 5.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.493 * [backup-simplify]: Simplify (+ 0 0) into 0 5.493 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 5.494 * [backup-simplify]: Simplify -1/8 into -1/8 5.494 * [backup-simplify]: Simplify (+ (* -1/8 N) (+ 1/2 (* 1 (/ 1 N)))) into (- (+ (/ 1 N) 1/2) (* 1/8 N)) 5.494 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1)) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1))) 5.494 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in (N) around 0 5.494 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.494 * [taylor]: Taking taylor expansion of N in N 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify 1 into 1 5.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.494 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.494 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.494 * [taylor]: Taking taylor expansion of N in N 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify 1 into 1 5.494 * [backup-simplify]: Simplify (/ 1 1) into 1 5.494 * [taylor]: Taking taylor expansion of 1 in N 5.494 * [backup-simplify]: Simplify 1 into 1 5.495 * [backup-simplify]: Simplify (+ 1 0) into 1 5.495 * [backup-simplify]: Simplify (sqrt 0) into 0 5.496 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.496 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.496 * [taylor]: Taking taylor expansion of N in N 5.496 * [backup-simplify]: Simplify 0 into 0 5.496 * [backup-simplify]: Simplify 1 into 1 5.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.496 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.496 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.496 * [taylor]: Taking taylor expansion of N in N 5.496 * [backup-simplify]: Simplify 0 into 0 5.496 * [backup-simplify]: Simplify 1 into 1 5.496 * [backup-simplify]: Simplify (/ 1 1) into 1 5.496 * [taylor]: Taking taylor expansion of 1 in N 5.496 * [backup-simplify]: Simplify 1 into 1 5.496 * [backup-simplify]: Simplify (+ 1 0) into 1 5.497 * [backup-simplify]: Simplify (sqrt 0) into 0 5.497 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.498 * [backup-simplify]: Simplify (* 0 0) into 0 5.498 * [backup-simplify]: Simplify 0 into 0 5.498 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.498 * [backup-simplify]: Simplify 0 into 0 5.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.499 * [backup-simplify]: Simplify (+ 0 1) into 1 5.501 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.504 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.505 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.506 * [backup-simplify]: Simplify (+ 0 0) into 0 5.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.514 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.514 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.516 * [backup-simplify]: Simplify (+ 0 0) into 0 5.520 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.524 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.525 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.526 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 5.526 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1)) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1 (/ 1 N))))) 5.527 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in (N) around 0 5.527 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.527 * [taylor]: Taking taylor expansion of -1 in N 5.527 * [backup-simplify]: Simplify -1 into -1 5.527 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.527 * [taylor]: Taking taylor expansion of N in N 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify 1 into 1 5.527 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.527 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.527 * [taylor]: Taking taylor expansion of 1 in N 5.527 * [backup-simplify]: Simplify 1 into 1 5.527 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.527 * [taylor]: Taking taylor expansion of N in N 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify 1 into 1 5.527 * [backup-simplify]: Simplify (/ 1 1) into 1 5.528 * [backup-simplify]: Simplify (- 1) into -1 5.528 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.528 * [backup-simplify]: Simplify (sqrt 0) into 0 5.529 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.529 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.529 * [taylor]: Taking taylor expansion of -1 in N 5.529 * [backup-simplify]: Simplify -1 into -1 5.529 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.529 * [taylor]: Taking taylor expansion of N in N 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify 1 into 1 5.529 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.529 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.529 * [taylor]: Taking taylor expansion of 1 in N 5.529 * [backup-simplify]: Simplify 1 into 1 5.529 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.529 * [taylor]: Taking taylor expansion of N in N 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify 1 into 1 5.529 * [backup-simplify]: Simplify (/ 1 1) into 1 5.530 * [backup-simplify]: Simplify (- 1) into -1 5.530 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.530 * [backup-simplify]: Simplify (sqrt 0) into 0 5.531 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.531 * [backup-simplify]: Simplify (* 0 0) into 0 5.531 * [backup-simplify]: Simplify (* -1 0) into 0 5.531 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.532 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.532 * [backup-simplify]: Simplify 0 into 0 5.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.533 * [backup-simplify]: Simplify (- 0) into 0 5.533 * [backup-simplify]: Simplify (+ 1 0) into 1 5.535 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.537 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.538 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.538 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.543 * [backup-simplify]: Simplify (- 0) into 0 5.544 * [backup-simplify]: Simplify (+ 0 0) into 0 5.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.548 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.550 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 5.550 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.551 * [backup-simplify]: Simplify (- 0) into 0 5.551 * [backup-simplify]: Simplify (+ 0 0) into 0 5.554 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.557 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.560 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 5.560 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.562 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 5.562 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 5.562 * [backup-simplify]: Simplify (sqrt (+ N 1)) into (sqrt (+ N 1)) 5.562 * [approximate]: Taking taylor expansion of (sqrt (+ N 1)) in (N) around 0 5.562 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.562 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.562 * [taylor]: Taking taylor expansion of N in N 5.562 * [backup-simplify]: Simplify 0 into 0 5.562 * [backup-simplify]: Simplify 1 into 1 5.562 * [taylor]: Taking taylor expansion of 1 in N 5.562 * [backup-simplify]: Simplify 1 into 1 5.563 * [backup-simplify]: Simplify (+ 0 1) into 1 5.563 * [backup-simplify]: Simplify (sqrt 1) into 1 5.563 * [backup-simplify]: Simplify (+ 1 0) into 1 5.564 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.564 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.564 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.564 * [taylor]: Taking taylor expansion of N in N 5.564 * [backup-simplify]: Simplify 0 into 0 5.564 * [backup-simplify]: Simplify 1 into 1 5.564 * [taylor]: Taking taylor expansion of 1 in N 5.564 * [backup-simplify]: Simplify 1 into 1 5.565 * [backup-simplify]: Simplify (+ 0 1) into 1 5.565 * [backup-simplify]: Simplify (sqrt 1) into 1 5.565 * [backup-simplify]: Simplify (+ 1 0) into 1 5.566 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.566 * [backup-simplify]: Simplify 1 into 1 5.566 * [backup-simplify]: Simplify 1/2 into 1/2 5.567 * [backup-simplify]: Simplify (+ 0 0) into 0 5.568 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.568 * [backup-simplify]: Simplify -1/8 into -1/8 5.568 * [backup-simplify]: Simplify (+ (* -1/8 (pow N 2)) (+ (* 1/2 N) 1)) into (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) 5.568 * [backup-simplify]: Simplify (sqrt (+ (/ 1 N) 1)) into (sqrt (+ (/ 1 N) 1)) 5.568 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in (N) around 0 5.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.568 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.568 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.568 * [taylor]: Taking taylor expansion of N in N 5.568 * [backup-simplify]: Simplify 0 into 0 5.568 * [backup-simplify]: Simplify 1 into 1 5.569 * [backup-simplify]: Simplify (/ 1 1) into 1 5.569 * [taylor]: Taking taylor expansion of 1 in N 5.569 * [backup-simplify]: Simplify 1 into 1 5.569 * [backup-simplify]: Simplify (+ 1 0) into 1 5.570 * [backup-simplify]: Simplify (sqrt 0) into 0 5.571 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.571 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.571 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.571 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.571 * [taylor]: Taking taylor expansion of N in N 5.571 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify 1 into 1 5.572 * [backup-simplify]: Simplify (/ 1 1) into 1 5.572 * [taylor]: Taking taylor expansion of 1 in N 5.572 * [backup-simplify]: Simplify 1 into 1 5.572 * [backup-simplify]: Simplify (+ 1 0) into 1 5.573 * [backup-simplify]: Simplify (sqrt 0) into 0 5.574 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.574 * [backup-simplify]: Simplify 0 into 0 5.574 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.575 * [backup-simplify]: Simplify (+ 0 1) into 1 5.579 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.579 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.580 * [backup-simplify]: Simplify (+ 0 0) into 0 5.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.584 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.584 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.584 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- N)) 1)) into (sqrt (- 1 (/ 1 N))) 5.584 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in (N) around 0 5.584 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.585 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.585 * [taylor]: Taking taylor expansion of 1 in N 5.585 * [backup-simplify]: Simplify 1 into 1 5.585 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.585 * [taylor]: Taking taylor expansion of N in N 5.585 * [backup-simplify]: Simplify 0 into 0 5.585 * [backup-simplify]: Simplify 1 into 1 5.585 * [backup-simplify]: Simplify (/ 1 1) into 1 5.585 * [backup-simplify]: Simplify (- 1) into -1 5.586 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.586 * [backup-simplify]: Simplify (sqrt 0) into 0 5.588 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.588 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.588 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.588 * [taylor]: Taking taylor expansion of 1 in N 5.588 * [backup-simplify]: Simplify 1 into 1 5.588 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.588 * [taylor]: Taking taylor expansion of N in N 5.588 * [backup-simplify]: Simplify 0 into 0 5.588 * [backup-simplify]: Simplify 1 into 1 5.588 * [backup-simplify]: Simplify (/ 1 1) into 1 5.588 * [backup-simplify]: Simplify (- 1) into -1 5.589 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.589 * [backup-simplify]: Simplify (sqrt 0) into 0 5.591 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.591 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.592 * [backup-simplify]: Simplify (- 0) into 0 5.592 * [backup-simplify]: Simplify (+ 1 0) into 1 5.595 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.595 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.597 * [backup-simplify]: Simplify (- 0) into 0 5.597 * [backup-simplify]: Simplify (+ 0 0) into 0 5.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.601 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.601 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.601 * * * [progress]: simplifying candidates 5.601 * * * * [progress]: [ 1 / 181 ] simplifiying candidate # 5.601 * * * * [progress]: [ 2 / 181 ] simplifiying candidate # 5.601 * * * * [progress]: [ 3 / 181 ] simplifiying candidate # 5.602 * * * * [progress]: [ 4 / 181 ] simplifiying candidate # 5.602 * * * * [progress]: [ 5 / 181 ] simplifiying candidate # 5.602 * * * * [progress]: [ 6 / 181 ] simplifiying candidate # 5.602 * * * * [progress]: [ 7 / 181 ] simplifiying candidate # 5.602 * * * * [progress]: [ 8 / 181 ] simplifiying candidate # 5.602 * * * * [progress]: [ 9 / 181 ] simplifiying candidate # 5.602 * * * * [progress]: [ 10 / 181 ] simplifiying candidate # 5.602 * * * * [progress]: [ 11 / 181 ] simplifiying candidate # 5.602 * * * * [progress]: [ 12 / 181 ] simplifiying candidate # 5.602 * * * * [progress]: [ 13 / 181 ] simplifiying candidate # 5.602 * * * * [progress]: [ 14 / 181 ] simplifiying candidate # 5.602 * * * * [progress]: [ 15 / 181 ] simplifiying candidate # 5.602 * * * * [progress]: [ 16 / 181 ] simplifiying candidate # 5.602 * * * * [progress]: [ 17 / 181 ] simplifiying candidate # 5.602 * * * * [progress]: [ 18 / 181 ] simplifiying candidate # 5.603 * * * * [progress]: [ 19 / 181 ] simplifiying candidate # 5.603 * * * * [progress]: [ 20 / 181 ] simplifiying candidate # 5.603 * * * * [progress]: [ 21 / 181 ] simplifiying candidate # 5.603 * * * * [progress]: [ 22 / 181 ] simplifiying candidate # 5.603 * * * * [progress]: [ 23 / 181 ] simplifiying candidate # 5.603 * * * * [progress]: [ 24 / 181 ] simplifiying candidate # 5.603 * * * * [progress]: [ 25 / 181 ] simplifiying candidate # 5.603 * * * * [progress]: [ 26 / 181 ] simplifiying candidate # 5.603 * * * * [progress]: [ 27 / 181 ] simplifiying candidate # 5.603 * * * * [progress]: [ 28 / 181 ] simplifiying candidate # 5.603 * * * * [progress]: [ 29 / 181 ] simplifiying candidate # 5.603 * * * * [progress]: [ 30 / 181 ] simplifiying candidate # 5.603 * * * * [progress]: [ 31 / 181 ] simplifiying candidate # 5.603 * * * * [progress]: [ 32 / 181 ] simplifiying candidate # 5.603 * * * * [progress]: [ 33 / 181 ] simplifiying candidate # 5.604 * * * * [progress]: [ 34 / 181 ] simplifiying candidate # 5.604 * * * * [progress]: [ 35 / 181 ] simplifiying candidate # 5.604 * * * * [progress]: [ 36 / 181 ] simplifiying candidate # 5.604 * * * * [progress]: [ 37 / 181 ] simplifiying candidate # 5.604 * * * * [progress]: [ 38 / 181 ] simplifiying candidate # 5.604 * * * * [progress]: [ 39 / 181 ] simplifiying candidate # 5.604 * * * * [progress]: [ 40 / 181 ] simplifiying candidate # 5.604 * * * * [progress]: [ 41 / 181 ] simplifiying candidate # 5.604 * * * * [progress]: [ 42 / 181 ] simplifiying candidate # 5.604 * * * * [progress]: [ 43 / 181 ] simplifiying candidate # 5.604 * * * * [progress]: [ 44 / 181 ] simplifiying candidate # 5.604 * * * * [progress]: [ 45 / 181 ] simplifiying candidate # 5.604 * * * * [progress]: [ 46 / 181 ] simplifiying candidate # 5.604 * * * * [progress]: [ 47 / 181 ] simplifiying candidate # 5.604 * * * * [progress]: [ 48 / 181 ] simplifiying candidate # 5.605 * * * * [progress]: [ 49 / 181 ] simplifiying candidate # 5.605 * * * * [progress]: [ 50 / 181 ] simplifiying candidate # 5.605 * * * * [progress]: [ 51 / 181 ] simplifiying candidate # 5.605 * * * * [progress]: [ 52 / 181 ] simplifiying candidate # 5.605 * * * * [progress]: [ 53 / 181 ] simplifiying candidate # 5.605 * * * * [progress]: [ 54 / 181 ] simplifiying candidate # 5.605 * * * * [progress]: [ 55 / 181 ] simplifiying candidate # 5.605 * * * * [progress]: [ 56 / 181 ] simplifiying candidate # 5.605 * * * * [progress]: [ 57 / 181 ] simplifiying candidate # 5.605 * * * * [progress]: [ 58 / 181 ] simplifiying candidate # 5.605 * * * * [progress]: [ 59 / 181 ] simplifiying candidate # 5.605 * * * * [progress]: [ 60 / 181 ] simplifiying candidate # 5.605 * * * * [progress]: [ 61 / 181 ] simplifiying candidate # 5.605 * * * * [progress]: [ 62 / 181 ] simplifiying candidate # 5.605 * * * * [progress]: [ 63 / 181 ] simplifiying candidate # 5.606 * * * * [progress]: [ 64 / 181 ] simplifiying candidate # 5.606 * * * * [progress]: [ 65 / 181 ] simplifiying candidate # 5.606 * * * * [progress]: [ 66 / 181 ] simplifiying candidate # 5.606 * * * * [progress]: [ 67 / 181 ] simplifiying candidate #real (real->posit16 (+ (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N))))))> 5.606 * * * * [progress]: [ 68 / 181 ] simplifiying candidate # 5.606 * * * * [progress]: [ 69 / 181 ] simplifiying candidate # 5.606 * * * * [progress]: [ 70 / 181 ] simplifiying candidate # 5.606 * * * * [progress]: [ 71 / 181 ] simplifiying candidate # 5.606 * * * * [progress]: [ 72 / 181 ] simplifiying candidate # 5.606 * * * * [progress]: [ 73 / 181 ] simplifiying candidate # 5.606 * * * * [progress]: [ 74 / 181 ] simplifiying candidate # 5.606 * * * * [progress]: [ 75 / 181 ] simplifiying candidate # 5.606 * * * * [progress]: [ 76 / 181 ] simplifiying candidate # 5.606 * * * * [progress]: [ 77 / 181 ] simplifiying candidate # 5.606 * * * * [progress]: [ 78 / 181 ] simplifiying candidate # 5.607 * * * * [progress]: [ 79 / 181 ] simplifiying candidate # 5.607 * * * * [progress]: [ 80 / 181 ] simplifiying candidate # 5.607 * * * * [progress]: [ 81 / 181 ] simplifiying candidate # 5.607 * * * * [progress]: [ 82 / 181 ] simplifiying candidate # 5.607 * * * * [progress]: [ 83 / 181 ] simplifiying candidate # 5.607 * * * * [progress]: [ 84 / 181 ] simplifiying candidate # 5.607 * * * * [progress]: [ 85 / 181 ] simplifiying candidate # 5.607 * * * * [progress]: [ 86 / 181 ] simplifiying candidate # 5.607 * * * * [progress]: [ 87 / 181 ] simplifiying candidate # 5.607 * * * * [progress]: [ 88 / 181 ] simplifiying candidate # 5.607 * * * * [progress]: [ 89 / 181 ] simplifiying candidate # 5.607 * * * * [progress]: [ 90 / 181 ] simplifiying candidate # 5.607 * * * * [progress]: [ 91 / 181 ] simplifiying candidate # 5.607 * * * * [progress]: [ 92 / 181 ] simplifiying candidate # 5.607 * * * * [progress]: [ 93 / 181 ] simplifiying candidate # 5.607 * * * * [progress]: [ 94 / 181 ] simplifiying candidate # 5.608 * * * * [progress]: [ 95 / 181 ] simplifiying candidate # 5.608 * * * * [progress]: [ 96 / 181 ] simplifiying candidate # 5.608 * * * * [progress]: [ 97 / 181 ] simplifiying candidate # 5.608 * * * * [progress]: [ 98 / 181 ] simplifiying candidate # 5.608 * * * * [progress]: [ 99 / 181 ] simplifiying candidate # 5.608 * * * * [progress]: [ 100 / 181 ] simplifiying candidate # 5.608 * * * * [progress]: [ 101 / 181 ] simplifiying candidate # 5.608 * * * * [progress]: [ 102 / 181 ] simplifiying candidate # 5.608 * * * * [progress]: [ 103 / 181 ] simplifiying candidate # 5.608 * * * * [progress]: [ 104 / 181 ] simplifiying candidate # 5.608 * * * * [progress]: [ 105 / 181 ] simplifiying candidate # 5.608 * * * * [progress]: [ 106 / 181 ] simplifiying candidate #real (real->posit16 (log (/ (sqrt (+ N 1)) 1)))) (log (/ (sqrt (+ N 1)) N))))> 5.608 * * * * [progress]: [ 107 / 181 ] simplifiying candidate # 5.608 * * * * [progress]: [ 108 / 181 ] simplifiying candidate # 5.608 * * * * [progress]: [ 109 / 181 ] simplifiying candidate # 5.608 * * * * [progress]: [ 110 / 181 ] simplifiying candidate # 5.609 * * * * [progress]: [ 111 / 181 ] simplifiying candidate # 5.609 * * * * [progress]: [ 112 / 181 ] simplifiying candidate # 5.609 * * * * [progress]: [ 113 / 181 ] simplifiying candidate # 5.609 * * * * [progress]: [ 114 / 181 ] simplifiying candidate # 5.609 * * * * [progress]: [ 115 / 181 ] simplifiying candidate # 5.609 * * * * [progress]: [ 116 / 181 ] simplifiying candidate # 5.609 * * * * [progress]: [ 117 / 181 ] simplifiying candidate # 5.609 * * * * [progress]: [ 118 / 181 ] simplifiying candidate # 5.609 * * * * [progress]: [ 119 / 181 ] simplifiying candidate # 5.609 * * * * [progress]: [ 120 / 181 ] simplifiying candidate # 5.609 * * * * [progress]: [ 121 / 181 ] simplifiying candidate # 5.609 * * * * [progress]: [ 122 / 181 ] simplifiying candidate # 5.609 * * * * [progress]: [ 123 / 181 ] simplifiying candidate # 5.609 * * * * [progress]: [ 124 / 181 ] simplifiying candidate # 5.609 * * * * [progress]: [ 125 / 181 ] simplifiying candidate # 5.609 * * * * [progress]: [ 126 / 181 ] simplifiying candidate # 5.610 * * * * [progress]: [ 127 / 181 ] simplifiying candidate # 5.610 * * * * [progress]: [ 128 / 181 ] simplifiying candidate # 5.610 * * * * [progress]: [ 129 / 181 ] simplifiying candidate # 5.610 * * * * [progress]: [ 130 / 181 ] simplifiying candidate # 5.610 * * * * [progress]: [ 131 / 181 ] simplifiying candidate # 5.610 * * * * [progress]: [ 132 / 181 ] simplifiying candidate # 5.610 * * * * [progress]: [ 133 / 181 ] simplifiying candidate # 5.610 * * * * [progress]: [ 134 / 181 ] simplifiying candidate # 5.610 * * * * [progress]: [ 135 / 181 ] simplifiying candidate # 5.610 * * * * [progress]: [ 136 / 181 ] simplifiying candidate # 5.610 * * * * [progress]: [ 137 / 181 ] simplifiying candidate # 5.610 * * * * [progress]: [ 138 / 181 ] simplifiying candidate # 5.610 * * * * [progress]: [ 139 / 181 ] simplifiying candidate # 5.610 * * * * [progress]: [ 140 / 181 ] simplifiying candidate # 5.610 * * * * [progress]: [ 141 / 181 ] simplifiying candidate # 5.610 * * * * [progress]: [ 142 / 181 ] simplifiying candidate # 5.611 * * * * [progress]: [ 143 / 181 ] simplifiying candidate # 5.611 * * * * [progress]: [ 144 / 181 ] simplifiying candidate # 5.611 * * * * [progress]: [ 145 / 181 ] simplifiying candidate # 5.611 * * * * [progress]: [ 146 / 181 ] simplifiying candidate # 5.611 * * * * [progress]: [ 147 / 181 ] simplifiying candidate # 5.611 * * * * [progress]: [ 148 / 181 ] simplifiying candidate # 5.611 * * * * [progress]: [ 149 / 181 ] simplifiying candidate # 5.611 * * * * [progress]: [ 150 / 181 ] simplifiying candidate # 5.611 * * * * [progress]: [ 151 / 181 ] simplifiying candidate # 5.611 * * * * [progress]: [ 152 / 181 ] simplifiying candidate #real (real->posit16 (/ (sqrt (+ N 1)) N))))))> 5.611 * * * * [progress]: [ 153 / 181 ] simplifiying candidate # 5.611 * * * * [progress]: [ 154 / 181 ] simplifiying candidate # 5.611 * * * * [progress]: [ 155 / 181 ] simplifiying candidate # 5.611 * * * * [progress]: [ 156 / 181 ] simplifiying candidate # 5.611 * * * * [progress]: [ 157 / 181 ] simplifiying candidate # 5.611 * * * * [progress]: [ 158 / 181 ] simplifiying candidate # 5.612 * * * * [progress]: [ 159 / 181 ] simplifiying candidate # 5.612 * * * * [progress]: [ 160 / 181 ] simplifiying candidate # 5.612 * * * * [progress]: [ 161 / 181 ] simplifiying candidate # 5.612 * * * * [progress]: [ 162 / 181 ] simplifiying candidate # 5.612 * * * * [progress]: [ 163 / 181 ] simplifiying candidate # 5.612 * * * * [progress]: [ 164 / 181 ] simplifiying candidate # 5.612 * * * * [progress]: [ 165 / 181 ] simplifiying candidate # 5.612 * * * * [progress]: [ 166 / 181 ] simplifiying candidate # 5.612 * * * * [progress]: [ 167 / 181 ] simplifiying candidate # 5.612 * * * * [progress]: [ 168 / 181 ] simplifiying candidate # 5.612 * * * * [progress]: [ 169 / 181 ] simplifiying candidate #real (real->posit16 (sqrt (+ N 1)))) N))))> 5.612 * * * * [progress]: [ 170 / 181 ] simplifiying candidate # 5.612 * * * * [progress]: [ 171 / 181 ] simplifiying candidate # 5.612 * * * * [progress]: [ 172 / 181 ] simplifiying candidate # 5.612 * * * * [progress]: [ 173 / 181 ] simplifiying candidate # 5.613 * * * * [progress]: [ 174 / 181 ] simplifiying candidate # 5.613 * * * * [progress]: [ 175 / 181 ] simplifiying candidate # 5.613 * * * * [progress]: [ 176 / 181 ] simplifiying candidate # 5.613 * * * * [progress]: [ 177 / 181 ] simplifiying candidate # 5.613 * * * * [progress]: [ 178 / 181 ] simplifiying candidate # 5.613 * * * * [progress]: [ 179 / 181 ] simplifiying candidate # 5.613 * * * * [progress]: [ 180 / 181 ] simplifiying candidate # 5.613 * * * * [progress]: [ 181 / 181 ] simplifiying candidate # 5.616 * [simplify]: Simplifying: (* (/ (sqrt (+ N 1)) 1) (/ (sqrt (+ N 1)) N)) (log (+ (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)))) (exp (+ (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)))) (* (cbrt (+ (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)))) (cbrt (+ (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N))))) (cbrt (+ (log (/ (sqrt 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Extracting #4: cost 506 inf + 175960 7.579 * * [simplify]: Extracting #5: cost 122 inf + 293892 7.659 * * [simplify]: Extracting #6: cost 5 inf + 334727 7.737 * * [simplify]: Extracting #7: cost 0 inf + 336933 7.805 * [simplify]: Simplified to: (/ (+ 1 N) N) (log (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N))))) (/ (+ 1 N) N) (* (cbrt (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N))))) (cbrt (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N)))))) (cbrt (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N))))) (* (* (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N)))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N))))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N))))) (sqrt (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N))))) (sqrt (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N))))) (+ (* (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N))) (log (/ (sqrt (+ 1 N)) N))) (* (log (sqrt (+ 1 N))) (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))))) (+ (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 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N))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N)))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N)))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N)))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N)) (+ (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (- (log (/ (sqrt (+ 1 N)) N))) (real->posit16 (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N))))) (+ (log (cbrt (sqrt (+ 1 N)))) (log (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (+ (log (cbrt (sqrt (+ 1 N)))) (log (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (+ (log (cbrt (sqrt (+ 1 N)))) (log (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (+ (log (cbrt (sqrt (+ 1 N)))) (log (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (fabs (cbrt (+ 1 N)))) (log (sqrt (cbrt (+ 1 N)))) (log (fabs (cbrt (+ 1 N)))) (log (sqrt (cbrt (+ 1 N)))) (log (fabs (cbrt (+ 1 N)))) (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) (log (log (sqrt (+ 1 N)))) (sqrt (+ 1 N)) (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (* (log (sqrt (+ 1 N))) (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))))) (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (real->posit16 (log (sqrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)) (exp (/ (sqrt (+ 1 N)) N)) (/ (* (/ (+ 1 N) N) (/ (sqrt (+ 1 N)) N)) N) (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))) (cbrt (/ (sqrt (+ 1 N)) N)) (/ (* (/ (+ 1 N) N) (/ (sqrt (+ 1 N)) N)) N) (sqrt (/ (sqrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) N)) (- (sqrt (+ 1 N))) (- N) (* (/ (cbrt (sqrt (+ 1 N))) (cbrt N)) (/ (cbrt (sqrt (+ 1 N))) (cbrt N))) (/ (cbrt (sqrt (+ 1 N))) (cbrt N)) (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)) (/ (cbrt (sqrt (+ 1 N))) (sqrt N)) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (/ (cbrt (sqrt (+ 1 N))) N) (/ (fabs (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ 1 N))) (cbrt N)) (/ (fabs (cbrt (+ 1 N))) (sqrt N)) (/ (sqrt (cbrt (+ 1 N))) (sqrt N)) (fabs (cbrt (+ 1 N))) (/ (sqrt (cbrt (+ 1 N))) N) (/ (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (sqrt (sqrt (+ 1 N))) (/ (sqrt (sqrt (+ 1 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (sqrt (sqrt (+ 1 N))) (/ (sqrt (sqrt (+ 1 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ 1 N) (/ N (sqrt (+ 1 N))) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ N (cbrt (sqrt (+ 1 N)))) (/ N (sqrt (cbrt (+ 1 N)))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (* N (sqrt (- (+ (* N N) 1) N))) (* (sqrt (- N 1)) N) (real->posit16 (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N))) (exp (sqrt (+ 1 N))) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (cbrt (sqrt (+ 1 N))) (* (+ 1 N) (sqrt (+ 1 N))) (fabs (cbrt (+ 1 N))) (sqrt (cbrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) 1 (sqrt (+ 1 N)) 1 (sqrt (+ 1 N)) (sqrt (+ 1 (* (* N N) N))) (sqrt (- (+ (* N N) 1) N)) (sqrt (- (* N N) 1)) (sqrt (- N 1)) 1/2 (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (real->posit16 (sqrt (+ 1 N))) (- (- N (* 1/2 (* N N))) (log N)) (+ (- (/ +nan.0 N) (/ +nan.0 (* N N))) (+ (- (log +nan.0) (log N)) (log (- +nan.0)))) (+ (- (log (/ -1 N)) (- (/ +nan.0 (* N N)) (/ +nan.0 N))) (+ (log (- +nan.0)) (log +nan.0))) (+ (* (* N N) (- (* N 1/6) 1/4)) (* 1/2 N)) (+ (/ +nan.0 N) (- (log +nan.0) (/ +nan.0 (* N N)))) (+ (/ +nan.0 N) (- (log +nan.0) (/ +nan.0 (* N N)))) (+ (+ (/ 1 N) 1/2) (* N -1/8)) (+ (- (+ (/ +nan.0 (* N N)) (/ +nan.0 N))) (/ +nan.0 (* (* N N) N))) (+ (- (+ (/ +nan.0 (* N N)) (/ +nan.0 N))) (/ +nan.0 (* (* N N) N))) (+ (+ (* 1/2 N) 1) (* -1/8 (* N N))) (- (- (/ +nan.0 N) (/ +nan.0 (* N N))) +nan.0) (- (- (/ +nan.0 N) (/ +nan.0 (* N N))) +nan.0) 7.818 * * * [progress]: adding candidates to table 8.540 * * [progress]: iteration 4 / 4 8.540 * * * [progress]: picking best candidate 8.559 * * * * [pick]: Picked # 8.559 * * * [progress]: localizing error 8.618 * * * [progress]: generating rewritten candidates 8.618 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 8.640 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 8.648 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 8.652 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.669 * * * [progress]: generating series expansions 8.669 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 8.669 * [backup-simplify]: Simplify (- (log (sqrt (+ 1 N))) (log (sqrt N))) into (- (log (sqrt (+ N 1))) (log (sqrt N))) 8.669 * [approximate]: Taking taylor expansion of (- (log (sqrt (+ N 1))) (log (sqrt N))) in (N) around 0 8.669 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ N 1))) (log (sqrt N))) in N 8.669 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 8.669 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 8.669 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.669 * [taylor]: Taking taylor expansion of N in N 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify 1 into 1 8.669 * [taylor]: Taking taylor expansion of 1 in N 8.670 * [backup-simplify]: Simplify 1 into 1 8.670 * [backup-simplify]: Simplify (+ 0 1) into 1 8.670 * [backup-simplify]: Simplify (sqrt 1) into 1 8.671 * [backup-simplify]: Simplify (+ 1 0) into 1 8.671 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.671 * [backup-simplify]: Simplify (log 1) into 0 8.671 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 8.671 * [taylor]: Taking taylor expansion of (sqrt N) in N 8.671 * [taylor]: Taking taylor expansion of N in N 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 1 into 1 8.672 * [backup-simplify]: Simplify (sqrt 0) into 0 8.673 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.673 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.673 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ N 1))) (log (sqrt N))) in N 8.673 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 8.673 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 8.673 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.673 * [taylor]: Taking taylor expansion of N in N 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 1 into 1 8.673 * [taylor]: Taking taylor expansion of 1 in N 8.673 * [backup-simplify]: Simplify 1 into 1 8.673 * [backup-simplify]: Simplify (+ 0 1) into 1 8.673 * [backup-simplify]: Simplify (sqrt 1) into 1 8.674 * [backup-simplify]: Simplify (+ 1 0) into 1 8.674 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.674 * [backup-simplify]: Simplify (log 1) into 0 8.674 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 8.674 * [taylor]: Taking taylor expansion of (sqrt N) in N 8.674 * [taylor]: Taking taylor expansion of N in N 8.674 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify 1 into 1 8.675 * [backup-simplify]: Simplify (sqrt 0) into 0 8.675 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.676 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.676 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 8.677 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 8.677 * [backup-simplify]: Simplify (+ 0 (- (+ (log N) (log +nan.0)))) into (- (+ (log N) (log +nan.0))) 8.677 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 8.678 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 8.680 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.686 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.687 * [backup-simplify]: Simplify (+ 1/2 (- +nan.0)) into (- +nan.0) 8.687 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.688 * [backup-simplify]: Simplify (+ 0 0) into 0 8.689 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 8.692 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 8.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.708 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 8.708 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.709 * [backup-simplify]: Simplify (+ -1/4 (- +nan.0)) into (- +nan.0) 8.709 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.711 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- (+ (log N) (log +nan.0))))) into (- (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2))))) 8.711 * [backup-simplify]: Simplify (- (log (sqrt (+ 1 (/ 1 N)))) (log (sqrt (/ 1 N)))) into (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) 8.711 * [approximate]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) in (N) around 0 8.711 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) in N 8.711 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 8.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 8.711 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.711 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.711 * [taylor]: Taking taylor expansion of N in N 8.711 * [backup-simplify]: Simplify 0 into 0 8.711 * [backup-simplify]: Simplify 1 into 1 8.712 * [backup-simplify]: Simplify (/ 1 1) into 1 8.712 * [taylor]: Taking taylor expansion of 1 in N 8.712 * [backup-simplify]: Simplify 1 into 1 8.712 * [backup-simplify]: Simplify (+ 1 0) into 1 8.713 * [backup-simplify]: Simplify (sqrt 0) into 0 8.714 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.714 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.714 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 8.714 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 8.714 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.714 * [taylor]: Taking taylor expansion of N in N 8.714 * [backup-simplify]: Simplify 0 into 0 8.714 * [backup-simplify]: Simplify 1 into 1 8.715 * [backup-simplify]: Simplify (/ 1 1) into 1 8.715 * [backup-simplify]: Simplify (sqrt 0) into 0 8.716 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.716 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.716 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) in N 8.716 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 8.716 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 8.717 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.717 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.717 * [taylor]: Taking taylor expansion of N in N 8.717 * [backup-simplify]: Simplify 0 into 0 8.717 * [backup-simplify]: Simplify 1 into 1 8.717 * [backup-simplify]: Simplify (/ 1 1) into 1 8.717 * [taylor]: Taking taylor expansion of 1 in N 8.717 * [backup-simplify]: Simplify 1 into 1 8.717 * [backup-simplify]: Simplify (+ 1 0) into 1 8.718 * [backup-simplify]: Simplify (sqrt 0) into 0 8.719 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.719 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.719 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 8.719 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 8.719 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.719 * [taylor]: Taking taylor expansion of N in N 8.719 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify 1 into 1 8.720 * [backup-simplify]: Simplify (/ 1 1) into 1 8.720 * [backup-simplify]: Simplify (sqrt 0) into 0 8.721 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.722 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.723 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 8.724 * [backup-simplify]: Simplify (+ (log +nan.0) (- (log +nan.0))) into 0 8.724 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.725 * [backup-simplify]: Simplify (+ 0 1) into 1 8.728 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.734 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.738 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.744 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.744 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 8.745 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.746 * [backup-simplify]: Simplify (+ 0 0) into 0 8.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.762 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 8.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.779 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 8.780 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.781 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 8.781 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.789 * [backup-simplify]: Simplify (+ 0 0) into 0 8.794 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.819 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 8.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.824 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.849 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 8.852 * [backup-simplify]: Simplify (- (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 8.858 * [backup-simplify]: Simplify (+ (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 8.860 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 8.864 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (* (pow N 3) (pow +nan.0 2)))) (- (* +nan.0 (/ 1 N))))))))) 8.864 * [backup-simplify]: Simplify (- (log (sqrt (+ 1 (/ 1 (- N))))) (log (sqrt (/ 1 (- N))))) into (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) 8.864 * [approximate]: Taking taylor expansion of (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 8.864 * [taylor]: Taking taylor expansion of (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) in N 8.864 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 8.864 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 8.864 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.864 * [taylor]: Taking taylor expansion of 1 in N 8.864 * [backup-simplify]: Simplify 1 into 1 8.864 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.864 * [taylor]: Taking taylor expansion of N in N 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify 1 into 1 8.864 * [backup-simplify]: Simplify (/ 1 1) into 1 8.865 * [backup-simplify]: Simplify (- 1) into -1 8.865 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.865 * [backup-simplify]: Simplify (sqrt 0) into 0 8.866 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.866 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.866 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 8.866 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 8.866 * [taylor]: Taking taylor expansion of (/ -1 N) in N 8.866 * [taylor]: Taking taylor expansion of -1 in N 8.866 * [backup-simplify]: Simplify -1 into -1 8.866 * [taylor]: Taking taylor expansion of N in N 8.866 * [backup-simplify]: Simplify 0 into 0 8.866 * [backup-simplify]: Simplify 1 into 1 8.867 * [backup-simplify]: Simplify (/ -1 1) into -1 8.867 * [backup-simplify]: Simplify (sqrt 0) into 0 8.868 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.868 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.868 * [taylor]: Taking taylor expansion of (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) in N 8.868 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 8.868 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 8.868 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.868 * [taylor]: Taking taylor expansion of 1 in N 8.868 * [backup-simplify]: Simplify 1 into 1 8.868 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.868 * [taylor]: Taking taylor expansion of N in N 8.868 * [backup-simplify]: Simplify 0 into 0 8.868 * [backup-simplify]: Simplify 1 into 1 8.868 * [backup-simplify]: Simplify (/ 1 1) into 1 8.868 * [backup-simplify]: Simplify (- 1) into -1 8.869 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.869 * [backup-simplify]: Simplify (sqrt 0) into 0 8.870 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.870 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.870 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 8.870 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 8.870 * [taylor]: Taking taylor expansion of (/ -1 N) in N 8.870 * [taylor]: Taking taylor expansion of -1 in N 8.870 * [backup-simplify]: Simplify -1 into -1 8.870 * [taylor]: Taking taylor expansion of N in N 8.870 * [backup-simplify]: Simplify 0 into 0 8.870 * [backup-simplify]: Simplify 1 into 1 8.870 * [backup-simplify]: Simplify (/ -1 1) into -1 8.871 * [backup-simplify]: Simplify (sqrt 0) into 0 8.871 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.872 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.872 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 8.873 * [backup-simplify]: Simplify (+ (log +nan.0) (- (log +nan.0))) into 0 8.873 * [backup-simplify]: Simplify 0 into 0 8.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.874 * [backup-simplify]: Simplify (- 0) into 0 8.874 * [backup-simplify]: Simplify (+ 1 0) into 1 8.876 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.883 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.890 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.891 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 8.891 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.893 * [backup-simplify]: Simplify (- 0) into 0 8.893 * [backup-simplify]: Simplify (+ 0 0) into 0 8.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.917 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 8.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 8.928 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.929 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 8.929 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.930 * [backup-simplify]: Simplify (- 0) into 0 8.930 * [backup-simplify]: Simplify (+ 0 0) into 0 8.933 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.950 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 8.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.956 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.981 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 8.987 * [backup-simplify]: Simplify (- (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 8.997 * [backup-simplify]: Simplify (+ (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.000 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.003 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (* (pow N 3) (pow +nan.0 2)))) (- (* +nan.0 (/ 1 N))))))))) 9.003 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 9.003 * [backup-simplify]: Simplify (log (/ (sqrt (+ N 1)) (sqrt N))) into (log (sqrt (/ (+ N 1) N))) 9.003 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 9.003 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 9.003 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.003 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.003 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.003 * [taylor]: Taking taylor expansion of N in N 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify 1 into 1 9.003 * [taylor]: Taking taylor expansion of 1 in N 9.003 * [backup-simplify]: Simplify 1 into 1 9.003 * [taylor]: Taking taylor expansion of N in N 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify 1 into 1 9.004 * [backup-simplify]: Simplify (+ 0 1) into 1 9.004 * [backup-simplify]: Simplify (/ 1 1) into 1 9.004 * [backup-simplify]: Simplify (sqrt 0) into 0 9.005 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.005 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.005 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 9.005 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.005 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.005 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.005 * [taylor]: Taking taylor expansion of N in N 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.005 * [taylor]: Taking taylor expansion of 1 in N 9.005 * [backup-simplify]: Simplify 1 into 1 9.005 * [taylor]: Taking taylor expansion of N in N 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify 1 into 1 9.006 * [backup-simplify]: Simplify (+ 0 1) into 1 9.006 * [backup-simplify]: Simplify (/ 1 1) into 1 9.006 * [backup-simplify]: Simplify (sqrt 0) into 0 9.007 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.007 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.008 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.008 * [backup-simplify]: Simplify (+ 1 0) into 1 9.008 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.010 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.014 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.014 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.015 * [backup-simplify]: Simplify (+ 0 0) into 0 9.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.032 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.033 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.033 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 9.033 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 N) 1)) (sqrt (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 9.033 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 9.033 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 9.033 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.034 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.034 * [taylor]: Taking taylor expansion of N in N 9.034 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify 1 into 1 9.034 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.034 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.034 * [taylor]: Taking taylor expansion of N in N 9.034 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify 1 into 1 9.034 * [backup-simplify]: Simplify (/ 1 1) into 1 9.034 * [taylor]: Taking taylor expansion of 1 in N 9.034 * [backup-simplify]: Simplify 1 into 1 9.035 * [backup-simplify]: Simplify (+ 1 0) into 1 9.035 * [backup-simplify]: Simplify (* 0 1) into 0 9.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.036 * [backup-simplify]: Simplify (+ 0 1) into 1 9.037 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.037 * [backup-simplify]: Simplify (sqrt 1) into 1 9.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.038 * [backup-simplify]: Simplify (+ 0 0) into 0 9.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.040 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.040 * [backup-simplify]: Simplify (log 1) into 0 9.040 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 9.040 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.040 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.040 * [taylor]: Taking taylor expansion of N in N 9.040 * [backup-simplify]: Simplify 0 into 0 9.040 * [backup-simplify]: Simplify 1 into 1 9.040 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.040 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.040 * [taylor]: Taking taylor expansion of N in N 9.040 * [backup-simplify]: Simplify 0 into 0 9.040 * [backup-simplify]: Simplify 1 into 1 9.040 * [backup-simplify]: Simplify (/ 1 1) into 1 9.040 * [taylor]: Taking taylor expansion of 1 in N 9.040 * [backup-simplify]: Simplify 1 into 1 9.041 * [backup-simplify]: Simplify (+ 1 0) into 1 9.041 * [backup-simplify]: Simplify (* 0 1) into 0 9.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.042 * [backup-simplify]: Simplify (+ 0 1) into 1 9.042 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.042 * [backup-simplify]: Simplify (sqrt 1) into 1 9.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.043 * [backup-simplify]: Simplify (+ 0 0) into 0 9.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.044 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.044 * [backup-simplify]: Simplify (log 1) into 0 9.044 * [backup-simplify]: Simplify 0 into 0 9.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.045 * [backup-simplify]: Simplify 1/2 into 1/2 9.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.046 * [backup-simplify]: Simplify (+ 0 0) into 0 9.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.047 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.049 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.049 * [backup-simplify]: Simplify -1/4 into -1/4 9.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.050 * [backup-simplify]: Simplify (+ 0 0) into 0 9.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 9.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.054 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 9.054 * [backup-simplify]: Simplify 1/6 into 1/6 9.055 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 9.055 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 (- N)) 1)) (sqrt (/ 1 (- N))))) into (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) 9.055 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 9.055 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 9.055 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 9.055 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.055 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.055 * [taylor]: Taking taylor expansion of 1 in N 9.055 * [backup-simplify]: Simplify 1 into 1 9.055 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.055 * [taylor]: Taking taylor expansion of N in N 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify 1 into 1 9.055 * [backup-simplify]: Simplify (/ 1 1) into 1 9.055 * [backup-simplify]: Simplify (- 1) into -1 9.056 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.056 * [backup-simplify]: Simplify (sqrt 0) into 0 9.057 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.057 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.057 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.057 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.057 * [taylor]: Taking taylor expansion of -1 in N 9.057 * [backup-simplify]: Simplify -1 into -1 9.057 * [taylor]: Taking taylor expansion of N in N 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify 1 into 1 9.057 * [backup-simplify]: Simplify (/ -1 1) into -1 9.057 * [backup-simplify]: Simplify (sqrt 0) into 0 9.058 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.059 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.059 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 9.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.061 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.063 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.064 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 9.064 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.064 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 9.064 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 9.064 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.064 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.064 * [taylor]: Taking taylor expansion of 1 in N 9.064 * [backup-simplify]: Simplify 1 into 1 9.064 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.064 * [taylor]: Taking taylor expansion of N in N 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 1 into 1 9.065 * [backup-simplify]: Simplify (/ 1 1) into 1 9.065 * [backup-simplify]: Simplify (- 1) into -1 9.065 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.065 * [backup-simplify]: Simplify (sqrt 0) into 0 9.066 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.066 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.066 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.066 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.066 * [taylor]: Taking taylor expansion of -1 in N 9.066 * [backup-simplify]: Simplify -1 into -1 9.066 * [taylor]: Taking taylor expansion of N in N 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify 1 into 1 9.066 * [backup-simplify]: Simplify (/ -1 1) into -1 9.067 * [backup-simplify]: Simplify (sqrt 0) into 0 9.068 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.068 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.068 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 9.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.070 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.072 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.072 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 9.073 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.074 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.079 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.079 * [backup-simplify]: Simplify (- 0) into 0 9.080 * [backup-simplify]: Simplify (+ 1 0) into 1 9.083 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.086 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 9.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 9.095 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.101 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.105 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.107 * [backup-simplify]: Simplify (- 0) into 0 9.107 * [backup-simplify]: Simplify (+ 0 0) into 0 9.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.116 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 9.139 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 9.139 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.140 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log (- +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.140 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 9.140 * [backup-simplify]: Simplify (log (sqrt (+ 1 N))) into (log (sqrt (+ N 1))) 9.140 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 9.140 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.140 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.140 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.140 * [taylor]: Taking taylor expansion of N in N 9.140 * [backup-simplify]: Simplify 0 into 0 9.140 * [backup-simplify]: Simplify 1 into 1 9.140 * [taylor]: Taking taylor expansion of 1 in N 9.140 * [backup-simplify]: Simplify 1 into 1 9.141 * [backup-simplify]: Simplify (+ 0 1) into 1 9.141 * [backup-simplify]: Simplify (sqrt 1) into 1 9.141 * [backup-simplify]: Simplify (+ 1 0) into 1 9.142 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.143 * [backup-simplify]: Simplify (log 1) into 0 9.143 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.143 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.143 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.143 * [taylor]: Taking taylor expansion of N in N 9.143 * [backup-simplify]: Simplify 0 into 0 9.143 * [backup-simplify]: Simplify 1 into 1 9.143 * [taylor]: Taking taylor expansion of 1 in N 9.143 * [backup-simplify]: Simplify 1 into 1 9.143 * [backup-simplify]: Simplify (+ 0 1) into 1 9.144 * [backup-simplify]: Simplify (sqrt 1) into 1 9.145 * [backup-simplify]: Simplify (+ 1 0) into 1 9.145 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.146 * [backup-simplify]: Simplify (log 1) into 0 9.146 * [backup-simplify]: Simplify 0 into 0 9.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.147 * [backup-simplify]: Simplify 1/2 into 1/2 9.148 * [backup-simplify]: Simplify (+ 0 0) into 0 9.149 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.152 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.152 * [backup-simplify]: Simplify -1/4 into -1/4 9.152 * [backup-simplify]: Simplify (+ 0 0) into 0 9.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.159 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 9.159 * [backup-simplify]: Simplify 1/6 into 1/6 9.159 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 9.159 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 N)))) into (log (sqrt (+ (/ 1 N) 1))) 9.160 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 9.160 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.160 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.160 * [taylor]: Taking taylor expansion of N in N 9.160 * [backup-simplify]: Simplify 0 into 0 9.160 * [backup-simplify]: Simplify 1 into 1 9.160 * [backup-simplify]: Simplify (/ 1 1) into 1 9.160 * [taylor]: Taking taylor expansion of 1 in N 9.160 * [backup-simplify]: Simplify 1 into 1 9.160 * [backup-simplify]: Simplify (+ 1 0) into 1 9.161 * [backup-simplify]: Simplify (sqrt 0) into 0 9.161 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.162 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.162 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.162 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.162 * [taylor]: Taking taylor expansion of N in N 9.162 * [backup-simplify]: Simplify 0 into 0 9.162 * [backup-simplify]: Simplify 1 into 1 9.162 * [backup-simplify]: Simplify (/ 1 1) into 1 9.162 * [taylor]: Taking taylor expansion of 1 in N 9.162 * [backup-simplify]: Simplify 1 into 1 9.162 * [backup-simplify]: Simplify (+ 1 0) into 1 9.163 * [backup-simplify]: Simplify (sqrt 0) into 0 9.163 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.164 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.164 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.165 * [backup-simplify]: Simplify (+ 0 1) into 1 9.166 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.170 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.171 * [backup-simplify]: Simplify (+ 0 0) into 0 9.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.182 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.182 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.182 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.182 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 (- N))))) into (log (sqrt (- 1 (/ 1 N)))) 9.182 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 9.182 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.182 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.182 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.182 * [taylor]: Taking taylor expansion of 1 in N 9.182 * [backup-simplify]: Simplify 1 into 1 9.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.182 * [taylor]: Taking taylor expansion of N in N 9.182 * [backup-simplify]: Simplify 0 into 0 9.182 * [backup-simplify]: Simplify 1 into 1 9.183 * [backup-simplify]: Simplify (/ 1 1) into 1 9.183 * [backup-simplify]: Simplify (- 1) into -1 9.183 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.183 * [backup-simplify]: Simplify (sqrt 0) into 0 9.184 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.185 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.185 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.185 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.185 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.185 * [taylor]: Taking taylor expansion of 1 in N 9.185 * [backup-simplify]: Simplify 1 into 1 9.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.185 * [taylor]: Taking taylor expansion of N in N 9.185 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify 1 into 1 9.185 * [backup-simplify]: Simplify (/ 1 1) into 1 9.185 * [backup-simplify]: Simplify (- 1) into -1 9.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.186 * [backup-simplify]: Simplify (sqrt 0) into 0 9.186 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.187 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.187 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.188 * [backup-simplify]: Simplify (- 0) into 0 9.188 * [backup-simplify]: Simplify (+ 1 0) into 1 9.191 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.198 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.199 * [backup-simplify]: Simplify (- 0) into 0 9.199 * [backup-simplify]: Simplify (+ 0 0) into 0 9.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.218 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 9.218 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.218 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 9.218 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 9.219 * [backup-simplify]: Simplify (/ (sqrt (+ N 1)) (sqrt N)) into (sqrt (/ (+ N 1) N)) 9.219 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 9.219 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.219 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.219 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.219 * [taylor]: Taking taylor expansion of N in N 9.219 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify 1 into 1 9.219 * [taylor]: Taking taylor expansion of 1 in N 9.219 * [backup-simplify]: Simplify 1 into 1 9.219 * [taylor]: Taking taylor expansion of N in N 9.219 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify 1 into 1 9.219 * [backup-simplify]: Simplify (+ 0 1) into 1 9.220 * [backup-simplify]: Simplify (/ 1 1) into 1 9.220 * [backup-simplify]: Simplify (sqrt 0) into 0 9.222 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.222 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.222 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.222 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.222 * [taylor]: Taking taylor expansion of N in N 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 1 into 1 9.222 * [taylor]: Taking taylor expansion of 1 in N 9.222 * [backup-simplify]: Simplify 1 into 1 9.222 * [taylor]: Taking taylor expansion of N in N 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 1 into 1 9.222 * [backup-simplify]: Simplify (+ 0 1) into 1 9.223 * [backup-simplify]: Simplify (/ 1 1) into 1 9.223 * [backup-simplify]: Simplify (sqrt 0) into 0 9.224 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.224 * [backup-simplify]: Simplify 0 into 0 9.224 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.225 * [backup-simplify]: Simplify (+ 1 0) into 1 9.226 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.228 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.229 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.229 * [backup-simplify]: Simplify (+ 0 0) into 0 9.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.234 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.235 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 9.235 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1)) (sqrt (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 9.235 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 9.235 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.235 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.235 * [taylor]: Taking taylor expansion of N in N 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify 1 into 1 9.235 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.235 * [taylor]: Taking taylor expansion of N in N 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify 1 into 1 9.235 * [backup-simplify]: Simplify (/ 1 1) into 1 9.235 * [taylor]: Taking taylor expansion of 1 in N 9.235 * [backup-simplify]: Simplify 1 into 1 9.236 * [backup-simplify]: Simplify (+ 1 0) into 1 9.236 * [backup-simplify]: Simplify (* 0 1) into 0 9.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.237 * [backup-simplify]: Simplify (+ 0 1) into 1 9.238 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.238 * [backup-simplify]: Simplify (sqrt 1) into 1 9.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.240 * [backup-simplify]: Simplify (+ 0 0) into 0 9.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.241 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.241 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.241 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.241 * [taylor]: Taking taylor expansion of N in N 9.241 * [backup-simplify]: Simplify 0 into 0 9.241 * [backup-simplify]: Simplify 1 into 1 9.241 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.241 * [taylor]: Taking taylor expansion of N in N 9.241 * [backup-simplify]: Simplify 0 into 0 9.241 * [backup-simplify]: Simplify 1 into 1 9.242 * [backup-simplify]: Simplify (/ 1 1) into 1 9.242 * [taylor]: Taking taylor expansion of 1 in N 9.242 * [backup-simplify]: Simplify 1 into 1 9.242 * [backup-simplify]: Simplify (+ 1 0) into 1 9.243 * [backup-simplify]: Simplify (* 0 1) into 0 9.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.244 * [backup-simplify]: Simplify (+ 0 1) into 1 9.244 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.245 * [backup-simplify]: Simplify (sqrt 1) into 1 9.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.246 * [backup-simplify]: Simplify (+ 0 0) into 0 9.247 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.247 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.247 * [backup-simplify]: Simplify 1 into 1 9.248 * [backup-simplify]: Simplify 1/2 into 1/2 9.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.249 * [backup-simplify]: Simplify (+ 0 0) into 0 9.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.251 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.251 * [backup-simplify]: Simplify -1/8 into -1/8 9.251 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 9.251 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1)) (sqrt (/ 1 (- N)))) into (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) 9.251 * [approximate]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 9.251 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 9.251 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.251 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.251 * [taylor]: Taking taylor expansion of 1 in N 9.251 * [backup-simplify]: Simplify 1 into 1 9.251 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.251 * [taylor]: Taking taylor expansion of N in N 9.252 * [backup-simplify]: Simplify 0 into 0 9.252 * [backup-simplify]: Simplify 1 into 1 9.252 * [backup-simplify]: Simplify (/ 1 1) into 1 9.252 * [backup-simplify]: Simplify (- 1) into -1 9.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.253 * [backup-simplify]: Simplify (sqrt 0) into 0 9.255 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.255 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.255 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.255 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.255 * [taylor]: Taking taylor expansion of -1 in N 9.255 * [backup-simplify]: Simplify -1 into -1 9.255 * [taylor]: Taking taylor expansion of N in N 9.255 * [backup-simplify]: Simplify 0 into 0 9.255 * [backup-simplify]: Simplify 1 into 1 9.261 * [backup-simplify]: Simplify (/ -1 1) into -1 9.262 * [backup-simplify]: Simplify (sqrt 0) into 0 9.263 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.263 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.263 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 9.263 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.263 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.263 * [taylor]: Taking taylor expansion of 1 in N 9.263 * [backup-simplify]: Simplify 1 into 1 9.263 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.263 * [taylor]: Taking taylor expansion of N in N 9.263 * [backup-simplify]: Simplify 0 into 0 9.264 * [backup-simplify]: Simplify 1 into 1 9.264 * [backup-simplify]: Simplify (/ 1 1) into 1 9.264 * [backup-simplify]: Simplify (- 1) into -1 9.265 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.265 * [backup-simplify]: Simplify (sqrt 0) into 0 9.266 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.266 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.266 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.266 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.266 * [taylor]: Taking taylor expansion of -1 in N 9.266 * [backup-simplify]: Simplify -1 into -1 9.266 * [taylor]: Taking taylor expansion of N in N 9.266 * [backup-simplify]: Simplify 0 into 0 9.267 * [backup-simplify]: Simplify 1 into 1 9.267 * [backup-simplify]: Simplify (/ -1 1) into -1 9.267 * [backup-simplify]: Simplify (sqrt 0) into 0 9.269 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.269 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.270 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 9.270 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.273 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.275 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.276 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 9.277 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.283 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.284 * [backup-simplify]: Simplify (- 0) into 0 9.284 * [backup-simplify]: Simplify (+ 1 0) into 1 9.286 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.288 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 9.288 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.291 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.294 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.295 * [backup-simplify]: Simplify (- 0) into 0 9.295 * [backup-simplify]: Simplify (+ 0 0) into 0 9.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.301 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 9.301 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.302 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 9.302 * * * [progress]: simplifying candidates 9.302 * * * * [progress]: [ 1 / 197 ] simplifiying candidate # 9.302 * * * * [progress]: [ 2 / 197 ] simplifiying candidate # 9.302 * * * * [progress]: [ 3 / 197 ] simplifiying candidate # 9.302 * * * * [progress]: [ 4 / 197 ] simplifiying candidate # 9.302 * * * * [progress]: [ 5 / 197 ] simplifiying candidate # 9.302 * * * * [progress]: [ 6 / 197 ] simplifiying candidate # 9.302 * * * * [progress]: [ 7 / 197 ] simplifiying candidate # 9.302 * * * * [progress]: [ 8 / 197 ] simplifiying candidate # 9.302 * * * * [progress]: [ 9 / 197 ] simplifiying candidate # 9.302 * * * * [progress]: [ 10 / 197 ] simplifiying candidate # 9.302 * * * * [progress]: [ 11 / 197 ] simplifiying candidate # 9.303 * * * * [progress]: [ 12 / 197 ] simplifiying candidate # 9.303 * * * * [progress]: [ 13 / 197 ] simplifiying candidate # 9.303 * * * * [progress]: [ 14 / 197 ] simplifiying candidate # 9.303 * * * * [progress]: [ 15 / 197 ] simplifiying candidate # 9.303 * * * * [progress]: 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9.304 * * * * [progress]: [ 32 / 197 ] simplifiying candidate # 9.304 * * * * [progress]: [ 33 / 197 ] simplifiying candidate # 9.304 * * * * [progress]: [ 34 / 197 ] simplifiying candidate # 9.304 * * * * [progress]: [ 35 / 197 ] simplifiying candidate #real (real->posit16 (- (log (sqrt (+ 1 N))) (log (sqrt N))))) (log (/ (sqrt (+ N 1)) (sqrt N)))))> 9.304 * * * * [progress]: [ 36 / 197 ] simplifiying candidate # 9.304 * * * * [progress]: [ 37 / 197 ] simplifiying candidate # 9.304 * * * * [progress]: [ 38 / 197 ] simplifiying candidate # 9.304 * * * * [progress]: [ 39 / 197 ] simplifiying candidate # 9.304 * * * * [progress]: [ 40 / 197 ] simplifiying candidate # 9.304 * * * * [progress]: [ 41 / 197 ] simplifiying candidate # 9.304 * * * * [progress]: [ 42 / 197 ] simplifiying candidate # 9.304 * * * * [progress]: [ 43 / 197 ] simplifiying candidate # 9.304 * * * * [progress]: [ 44 / 197 ] simplifiying candidate # 9.304 * * * * [progress]: [ 45 / 197 ] simplifiying candidate # 9.305 * * * * [progress]: [ 46 / 197 ] simplifiying candidate # 9.305 * * * * [progress]: [ 47 / 197 ] simplifiying candidate # 9.305 * * * * [progress]: [ 48 / 197 ] simplifiying candidate # 9.305 * * * * [progress]: [ 49 / 197 ] simplifiying candidate # 9.305 * * * * [progress]: [ 50 / 197 ] simplifiying candidate # 9.305 * * * * [progress]: [ 51 / 197 ] simplifiying candidate # 9.305 * * * * [progress]: [ 52 / 197 ] simplifiying candidate # 9.305 * * * * [progress]: [ 53 / 197 ] simplifiying candidate # 9.305 * * * * [progress]: [ 54 / 197 ] simplifiying candidate # 9.305 * * * * [progress]: [ 55 / 197 ] simplifiying candidate # 9.305 * * * * [progress]: [ 56 / 197 ] simplifiying candidate # 9.305 * * * * [progress]: [ 57 / 197 ] simplifiying candidate # 9.305 * * * * [progress]: [ 58 / 197 ] simplifiying candidate # 9.305 * * * * [progress]: [ 59 / 197 ] simplifiying candidate # 9.306 * * * * [progress]: [ 60 / 197 ] simplifiying candidate # 9.306 * * * * [progress]: [ 61 / 197 ] 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candidate # 9.308 * * * * [progress]: [ 93 / 197 ] simplifiying candidate #real (real->posit16 (log (/ (sqrt (+ N 1)) (sqrt N)))))))> 9.308 * * * * [progress]: [ 94 / 197 ] simplifiying candidate # 9.308 * * * * [progress]: [ 95 / 197 ] simplifiying candidate # 9.308 * * * * [progress]: [ 96 / 197 ] simplifiying candidate # 9.308 * * * * [progress]: [ 97 / 197 ] simplifiying candidate # 9.308 * * * * [progress]: [ 98 / 197 ] simplifiying candidate # 9.308 * * * * [progress]: [ 99 / 197 ] simplifiying candidate # 9.308 * * * * [progress]: [ 100 / 197 ] simplifiying candidate # 9.308 * * * * [progress]: [ 101 / 197 ] simplifiying candidate # 9.308 * * * * [progress]: [ 102 / 197 ] simplifiying candidate # 9.308 * * * * [progress]: [ 103 / 197 ] simplifiying candidate # 9.309 * * * * [progress]: [ 104 / 197 ] simplifiying candidate # 9.309 * * * * [progress]: [ 105 / 197 ] simplifiying candidate # 9.309 * * * * [progress]: [ 106 / 197 ] simplifiying candidate # 9.309 * * * * [progress]: [ 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* [progress]: [ 197 / 197 ] simplifiying candidate # 9.318 * [simplify]: Simplifying: (/ (sqrt (+ 1 N)) (sqrt N)) (log (- (log (sqrt (+ 1 N))) (log (sqrt N)))) (exp (- (log (sqrt (+ 1 N))) (log (sqrt N)))) (* (cbrt (- (log (sqrt (+ 1 N))) (log (sqrt N)))) (cbrt (- (log (sqrt (+ 1 N))) (log (sqrt N))))) (cbrt (- (log (sqrt (+ 1 N))) (log (sqrt N)))) (* (* (- (log (sqrt (+ 1 N))) (log (sqrt N))) (- (log (sqrt (+ 1 N))) (log (sqrt N)))) (- (log (sqrt (+ 1 N))) (log (sqrt N)))) (sqrt (- (log (sqrt (+ 1 N))) (log (sqrt N)))) (sqrt (- (log (sqrt (+ 1 N))) (log (sqrt N)))) (- (pow (log (sqrt (+ 1 N))) 3) (pow (log (sqrt N)) 3)) (+ (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (+ (* (log (sqrt N)) (log (sqrt N))) (* (log (sqrt (+ 1 N))) (log (sqrt N))))) (- (log (sqrt N))) (- (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (* (log (sqrt N)) (log (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (sqrt N))) (+ (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt N)))) (- (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt N)))) (- (log (+ 1 N)) (log N)) (- (log (sqrt (+ 1 N))) (log (sqrt N))) (- (log (sqrt (+ 1 N))) (log (sqrt N))) (- (log (+ 1 N)) (log N)) (- (log (sqrt (+ 1 N))) (log (sqrt N))) (- (log (sqrt (+ 1 N))) (log (sqrt N))) (- (log (sqrt (+ 1 N))) (log (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (- (log (sqrt (+ 1 N))) (log (sqrt (* (cbrt N) (cbrt N))))) (- (log (sqrt (+ 1 N))) (log (sqrt (sqrt N)))) (- (log (sqrt (+ 1 N))) (log (sqrt 1))) (- (log (sqrt (+ 1 N))) (log (sqrt (sqrt N)))) (- (log (sqrt (+ 1 N))) (log 1)) (- (log (cbrt (sqrt (+ 1 N)))) (log (sqrt N))) (- (log (sqrt (cbrt (+ 1 N)))) (log (sqrt N))) (- (log (sqrt (sqrt (+ 1 N)))) (log (sqrt N))) (- (log (sqrt (+ 1 N))) (log (sqrt N))) (- (log (sqrt (+ 1 N))) (log (sqrt N))) (- (log (sqrt (sqrt (+ 1 N)))) (log (sqrt N))) (- (log (sqrt (+ 1 N))) (log (sqrt N))) (+ (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (sqrt N))) (+ (log (sqrt (- 1 N))) (log (sqrt N))) (- (log (sqrt N))) (real->posit16 (- (log (sqrt (+ 1 N))) (log (sqrt N)))) (log (* (cbrt (/ (sqrt (+ N 1)) (sqrt N))) (cbrt (/ (sqrt (+ N 1)) (sqrt N))))) (log (cbrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (cbrt (sqrt (+ N 1))) (cbrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1))) (sqrt (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (sqrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (sqrt 1))) (log (/ (cbrt (sqrt (+ N 1))) (sqrt N))) (log (/ (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (sqrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) 1)) (log (/ (cbrt (sqrt (+ N 1))) (sqrt N))) (log (/ (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (cbrt (+ N 1))) (cbrt (sqrt N)))) (log (/ (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (cbrt (+ N 1))) (sqrt (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (sqrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (sqrt 1))) (log (/ (sqrt (cbrt (+ N 1))) (sqrt N))) (log (/ (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (sqrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1)) (log (/ (sqrt (cbrt (+ N 1))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (sqrt (+ N 1))) (cbrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt 1))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) 1)) (log (/ (sqrt (sqrt (+ N 1))) (sqrt N))) (log (/ (sqrt 1) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (+ N 1)) (cbrt (sqrt N)))) (log (/ (sqrt 1) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1)) (sqrt (cbrt N)))) (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (/ (sqrt 1) (sqrt 1))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (/ (sqrt 1) 1)) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt 1) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (+ N 1)) (cbrt (sqrt N)))) (log (/ (sqrt 1) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1)) (sqrt (cbrt N)))) (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (/ (sqrt 1) (sqrt 1))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (/ (sqrt 1) 1)) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (sqrt (+ N 1))) (cbrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt 1))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1))) 1)) (log (/ (sqrt (sqrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (+ N 1)) (cbrt (sqrt N)))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (+ N 1)) (sqrt (cbrt N)))) (log (/ 1 (sqrt (sqrt N)))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N)))) (log (/ 1 (sqrt 1))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ 1 (sqrt 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N N) N) 1/6) (- (* (* N N) 1/4) (* 1/2 N))) (+ (- (log +nan.0) (/ (/ +nan.0 N) N)) (/ +nan.0 N)) (+ (- (log +nan.0) (/ (/ +nan.0 N) N)) (/ +nan.0 N)) (- (- (+ (* N +nan.0) +nan.0) (* (* N +nan.0) N))) (+ (/ 1/2 N) (+ 1 (/ -1/8 (* N N)))) (- (- (/ +nan.0 N) (/ (/ +nan.0 N) N)) +nan.0) 11.702 * * * [progress]: adding candidates to table 12.628 * [progress]: [Phase 3 of 3] Extracting. 12.628 * * [regime]: Finding splitpoints for: (# # # # #) 12.634 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.634 * * * * [regimes]: Trying to branch on N from (# # # # #) 12.680 * * * [regime]: Found split indices: #