25.866 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.078 * * * [progress]: [2/2] Setting up program. 0.082 * [progress]: [Phase 2 of 3] Improving. 0.083 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.083 * * [simplify]: Extracting # 0 : cost 0 0.083 * * [simplify]: Extracting # 1 : cost 0 0.083 * * [simplify]: Extracting # 2 : cost 0 0.083 * * [simplify]: Extracting # 3 : cost 0 0.083 * * [simplify]: Extracting # 4 : cost 0 0.083 * * [simplify]: Extracting # 5 : cost 0 0.083 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.085 * * [simplify]: Extracting # 0 : cost 0 0.085 * * [simplify]: Extracting # 1 : cost 0 0.085 * * [simplify]: Extracting # 2 : cost 0 0.085 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.087 * * [simplify]: Extracting # 0 : cost 0 0.088 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.090 * * [simplify]: Extracting # 0 : cost 0 0.091 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.091 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.092 * * [progress]: iteration 1 / 4 0.092 * * * [progress]: picking best candidate 0.096 * * * * [pick]: Picked # 0.097 * * * [progress]: localizing error 0.112 * * * [progress]: generating rewritten candidates 0.113 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.123 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.150 * * * [progress]: generating series expansions 0.151 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.151 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.151 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.151 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.151 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of 1.0 in N 0.151 * [backup-simplify]: Simplify 1.0 into 1.0 0.152 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.152 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.152 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.152 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [taylor]: Taking taylor expansion of 1.0 in N 0.153 * [backup-simplify]: Simplify 1.0 into 1.0 0.153 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.153 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.154 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.160 * [backup-simplify]: Simplify 1.0 into 1.0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.173 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.175 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.175 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.175 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.175 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [taylor]: Taking taylor expansion of 1.0 in N 0.175 * [backup-simplify]: Simplify 1.0 into 1.0 0.176 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify (log 1) into 0 0.189 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [backup-simplify]: Simplify 1.0 into 1.0 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify (log 1) into 0 0.191 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.191 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.196 * [backup-simplify]: Simplify 1.0 into 1.0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.204 * [backup-simplify]: Simplify -0.5 into -0.5 0.204 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.205 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.205 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.205 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.205 * [taylor]: Taking taylor expansion of 1.0 in N 0.205 * [backup-simplify]: Simplify 1.0 into 1.0 0.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify (- 1) into -1 0.206 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.206 * [backup-simplify]: Simplify (log -1) into (log -1) 0.206 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.206 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.206 * [taylor]: Taking taylor expansion of 1.0 in N 0.206 * [backup-simplify]: Simplify 1.0 into 1.0 0.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [backup-simplify]: Simplify (- 1) into -1 0.207 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.207 * [backup-simplify]: Simplify (log -1) into (log -1) 0.208 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.208 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (- 0) into 0 0.209 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.216 * [backup-simplify]: Simplify -1.0 into -1.0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.224 * [backup-simplify]: Simplify -0.5 into -0.5 0.224 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.224 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.224 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.224 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.224 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.224 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.224 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.224 * [taylor]: Taking taylor expansion of N in N 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of 1.0 in N 0.225 * [backup-simplify]: Simplify 1.0 into 1.0 0.225 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.225 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.225 * [taylor]: Taking taylor expansion of (log N) in N 0.225 * [taylor]: Taking taylor expansion of N in N 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (log 1) into 0 0.225 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.225 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.225 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.225 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of 1.0 in N 0.226 * [backup-simplify]: Simplify 1.0 into 1.0 0.226 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.226 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.226 * [taylor]: Taking taylor expansion of (log N) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (log 1) into 0 0.227 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.227 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.227 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.228 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.228 * [backup-simplify]: Simplify (+ 1 0) into 1 0.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.236 * [backup-simplify]: Simplify 1.0 into 1.0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.251 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.256 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.260 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.260 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.260 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.260 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.260 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.260 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.260 * [taylor]: Taking taylor expansion of N in N 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [taylor]: Taking taylor expansion of 1.0 in N 0.261 * [backup-simplify]: Simplify 1.0 into 1.0 0.261 * [backup-simplify]: Simplify (+ 1 0) into 1 0.262 * [backup-simplify]: Simplify (log 1) into 0 0.262 * [taylor]: Taking taylor expansion of (log (/ 1 N)) 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 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [backup-simplify]: Simplify (log 1) into 0 0.262 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.262 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) 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 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [taylor]: Taking taylor expansion of 1.0 in N 0.263 * [backup-simplify]: Simplify 1.0 into 1.0 0.263 * [backup-simplify]: Simplify (+ 1 0) into 1 0.264 * [backup-simplify]: Simplify (log 1) into 0 0.264 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.264 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.264 * [taylor]: Taking taylor expansion of N in N 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [backup-simplify]: Simplify (log 1) into 0 0.265 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.266 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.266 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.266 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.276 * [backup-simplify]: Simplify 1.0 into 1.0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.291 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [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 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.330 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.331 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.331 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.331 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.331 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.331 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.331 * [taylor]: Taking taylor expansion of 1.0 in N 0.331 * [backup-simplify]: Simplify 1.0 into 1.0 0.331 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.331 * [taylor]: Taking taylor expansion of N in N 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [backup-simplify]: Simplify (- 1) into -1 0.333 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.333 * [backup-simplify]: Simplify (log -1) into (log -1) 0.333 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.333 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.333 * [taylor]: Taking taylor expansion of -1 in N 0.333 * [backup-simplify]: Simplify -1 into -1 0.333 * [taylor]: Taking taylor expansion of N in N 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ -1 1) into -1 0.334 * [backup-simplify]: Simplify (log -1) into (log -1) 0.334 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.334 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.334 * [taylor]: Taking taylor expansion of 1.0 in N 0.334 * [backup-simplify]: Simplify 1.0 into 1.0 0.334 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.334 * [taylor]: Taking taylor expansion of N in N 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify (- 1) into -1 0.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.336 * [backup-simplify]: Simplify (log -1) into (log -1) 0.336 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.336 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.336 * [taylor]: Taking taylor expansion of -1 in N 0.336 * [backup-simplify]: Simplify -1 into -1 0.336 * [taylor]: Taking taylor expansion of N in N 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ -1 1) into -1 0.337 * [backup-simplify]: Simplify (log -1) into (log -1) 0.338 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.339 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.340 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.340 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.349 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.359 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [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 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.382 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.384 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.384 * * * [progress]: simplifying candidates 0.385 * [simplify]: Simplifying: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.387 * * [simplify]: Extracting # 0 : cost 0 0.388 * * [simplify]: Extracting # 1 : cost 0 0.388 * * [simplify]: Extracting # 2 : cost 0 0.388 * * [simplify]: Extracting # 3 : cost 0 0.388 * * [simplify]: Extracting # 4 : cost 0 0.389 * * [simplify]: Extracting # 5 : cost 0 0.389 * * [simplify]: Extracting # 6 : cost 0 0.389 * * [simplify]: Extracting # 7 : cost 0 0.389 * * [simplify]: iteration 0 : 101 enodes (cost 510 ) 0.412 * * [simplify]: Extracting # 0 : cost 0 0.412 * * [simplify]: Extracting # 1 : cost 0 0.413 * * [simplify]: Extracting # 2 : cost 0 0.413 * * [simplify]: Extracting # 3 : cost 0 0.413 * * [simplify]: Extracting # 4 : cost 0 0.414 * * [simplify]: iteration 1 : 213 enodes (cost 488 ) 0.492 * * [simplify]: Extracting # 0 : cost 0 0.493 * * [simplify]: Extracting # 1 : cost 0 0.493 * * [simplify]: Extracting # 2 : cost 0 0.494 * * [simplify]: Extracting # 3 : cost 0 0.494 * * [simplify]: Extracting # 4 : cost 0 0.495 * * [simplify]: iteration 2 : 462 enodes (cost 445 ) 0.668 * * [simplify]: Extracting # 0 : cost 0 0.670 * * [simplify]: Extracting # 1 : cost 0 0.671 * * [simplify]: Extracting # 2 : cost 0 0.672 * * [simplify]: Extracting # 3 : cost 0 0.673 * * [simplify]: Extracting # 4 : cost 0 0.674 * * [simplify]: iteration 3 : 1063 enodes (cost 443 ) 1.438 * * [simplify]: Extracting # 0 : cost 0 1.441 * * [simplify]: Extracting # 1 : cost 0 1.443 * * [simplify]: Extracting # 2 : cost 0 1.446 * * [simplify]: Extracting # 3 : cost 0 1.448 * * [simplify]: Extracting # 4 : cost 0 1.450 * * [simplify]: iteration 4 : 2574 enodes (cost 438 ) 3.331 * * [simplify]: Extracting # 0 : cost 0 3.353 * * [simplify]: Extracting # 1 : cost 0 3.362 * * [simplify]: Extracting # 2 : cost 0 3.370 * * [simplify]: Extracting # 3 : cost 0 3.379 * * [simplify]: Extracting # 4 : cost 0 3.388 * * [simplify]: iteration done: 5001 enodes (cost 426 ) 3.389 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* 1.0 (- 1.0 N)) (* N N))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (+ (log (+ N 1.0)) (log N)) (log (+ N 1.0))) (* (log N) (log N))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (+ (* 1.0 (- 1.0 N)) (* N N)))) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (log 1.0) (* N (- (/ (* 1/2 N) (* 1.0 1.0)) 1.0))) (+ (log N) (/ (- 1.0 (/ 0.5 N)) N)) (+ (log N) (/ (- 1.0 (/ 0.5 N)) N)) (+ (- (log 1.0) (log N)) (* N (- 1.0 (* 1/2 (/ N (* 1.0 1.0)))))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) 3.390 * * * [progress]: adding candidates to table 3.562 * * [progress]: iteration 2 / 4 3.562 * * * [progress]: picking best candidate 3.575 * * * * [pick]: Picked # 3.576 * * * [progress]: localizing error 3.587 * * * [progress]: generating rewritten candidates 3.587 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.600 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.642 * * * [progress]: generating series expansions 3.642 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.642 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 3.642 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 3.642 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.642 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.642 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.642 * [taylor]: Taking taylor expansion of N in N 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.642 * [taylor]: Taking taylor expansion of 1.0 in N 3.642 * [backup-simplify]: Simplify 1.0 into 1.0 3.642 * [taylor]: Taking taylor expansion of N in N 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.643 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.644 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.644 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.644 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.644 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.644 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.644 * [taylor]: Taking taylor expansion of N in N 3.644 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify 1 into 1 3.644 * [taylor]: Taking taylor expansion of 1.0 in N 3.644 * [backup-simplify]: Simplify 1.0 into 1.0 3.644 * [taylor]: Taking taylor expansion of N in N 3.645 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify 1 into 1 3.645 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.646 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.646 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.647 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.648 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 3.648 * [backup-simplify]: Simplify (+ 1 0) into 1 3.649 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.663 * [backup-simplify]: Simplify 1.0 into 1.0 3.664 * [backup-simplify]: Simplify (+ 0 0) into 0 3.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.675 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.676 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.678 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 3.678 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 3.678 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.678 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.678 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.678 * [taylor]: Taking taylor expansion of N in N 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 1 into 1 3.678 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.678 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.678 * [taylor]: Taking taylor expansion of N in N 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 1 into 1 3.679 * [backup-simplify]: Simplify (/ 1 1) into 1 3.679 * [taylor]: Taking taylor expansion of 1.0 in N 3.679 * [backup-simplify]: Simplify 1.0 into 1.0 3.680 * [backup-simplify]: Simplify (+ 1 0) into 1 3.680 * [backup-simplify]: Simplify (* 0 1) into 0 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.681 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.682 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.682 * [backup-simplify]: Simplify (log 1) into 0 3.682 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.682 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.682 * [taylor]: Taking taylor expansion of N in N 3.682 * [backup-simplify]: Simplify 0 into 0 3.682 * [backup-simplify]: Simplify 1 into 1 3.682 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.682 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.682 * [taylor]: Taking taylor expansion of N in N 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [backup-simplify]: Simplify (/ 1 1) into 1 3.683 * [taylor]: Taking taylor expansion of 1.0 in N 3.683 * [backup-simplify]: Simplify 1.0 into 1.0 3.683 * [backup-simplify]: Simplify (+ 1 0) into 1 3.684 * [backup-simplify]: Simplify (* 0 1) into 0 3.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.685 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.686 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.686 * [backup-simplify]: Simplify (log 1) into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.687 * [backup-simplify]: Simplify (+ 0 0) into 0 3.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.696 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.696 * [backup-simplify]: Simplify 1.0 into 1.0 3.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.697 * [backup-simplify]: Simplify (+ 0 0) into 0 3.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.710 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.710 * [backup-simplify]: Simplify -0.5 into -0.5 3.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.711 * [backup-simplify]: Simplify (+ 0 0) into 0 3.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.731 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 3.731 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.731 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.732 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 3.732 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.732 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.732 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.732 * [taylor]: Taking taylor expansion of -1 in N 3.732 * [backup-simplify]: Simplify -1 into -1 3.732 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.732 * [taylor]: Taking taylor expansion of N in N 3.732 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify 1 into 1 3.732 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.732 * [taylor]: Taking taylor expansion of 1.0 in N 3.732 * [backup-simplify]: Simplify 1.0 into 1.0 3.732 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.732 * [taylor]: Taking taylor expansion of N in N 3.732 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify 1 into 1 3.733 * [backup-simplify]: Simplify (/ 1 1) into 1 3.733 * [backup-simplify]: Simplify (- 1) into -1 3.733 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.734 * [backup-simplify]: Simplify (* 0 -1) into 0 3.734 * [backup-simplify]: Simplify (* -1 0) into 0 3.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.735 * [backup-simplify]: Simplify (- 0) into 0 3.736 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.736 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.737 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.737 * [backup-simplify]: Simplify (log 1) into 0 3.737 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.738 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.738 * [taylor]: Taking taylor expansion of -1 in N 3.738 * [backup-simplify]: Simplify -1 into -1 3.738 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.738 * [taylor]: Taking taylor expansion of N in N 3.738 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify 1 into 1 3.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.738 * [taylor]: Taking taylor expansion of 1.0 in N 3.738 * [backup-simplify]: Simplify 1.0 into 1.0 3.738 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.738 * [taylor]: Taking taylor expansion of N in N 3.738 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify 1 into 1 3.738 * [backup-simplify]: Simplify (/ 1 1) into 1 3.739 * [backup-simplify]: Simplify (- 1) into -1 3.739 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.740 * [backup-simplify]: Simplify (* 0 -1) into 0 3.740 * [backup-simplify]: Simplify (* -1 0) into 0 3.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.741 * [backup-simplify]: Simplify (- 0) into 0 3.742 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.742 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.743 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.743 * [backup-simplify]: Simplify (log 1) into 0 3.743 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.745 * [backup-simplify]: Simplify (- 0) into 0 3.745 * [backup-simplify]: Simplify (+ 0 0) into 0 3.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.750 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.757 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 3.757 * [backup-simplify]: Simplify -1.0 into -1.0 3.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.758 * [backup-simplify]: Simplify (- 0) into 0 3.759 * [backup-simplify]: Simplify (+ 0 0) into 0 3.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.761 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.774 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.774 * [backup-simplify]: Simplify -0.5 into -0.5 3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.775 * [backup-simplify]: Simplify (- 0) into 0 3.776 * [backup-simplify]: Simplify (+ 0 0) into 0 3.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.779 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.798 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 3.798 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.799 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.799 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.799 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 3.799 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 3.799 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.799 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.799 * [taylor]: Taking taylor expansion of N in N 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 1 into 1 3.799 * [taylor]: Taking taylor expansion of 1.0 in N 3.799 * [backup-simplify]: Simplify 1.0 into 1.0 3.799 * [taylor]: Taking taylor expansion of N in N 3.799 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 1 into 1 3.800 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.800 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.800 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.800 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.801 * [taylor]: Taking taylor expansion of N in N 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify 1 into 1 3.801 * [taylor]: Taking taylor expansion of 1.0 in N 3.801 * [backup-simplify]: Simplify 1.0 into 1.0 3.801 * [taylor]: Taking taylor expansion of N in N 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify 1 into 1 3.801 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.802 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.802 * [backup-simplify]: Simplify 1.0 into 1.0 3.810 * [backup-simplify]: Simplify (+ 1 0) into 1 3.811 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.811 * [backup-simplify]: Simplify 1 into 1 3.811 * [backup-simplify]: Simplify (+ 0 0) into 0 3.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify (+ 0 0) into 0 3.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify (+ 0 0) into 0 3.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.814 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify (+ 0 0) into 0 3.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.815 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify (+ 0 0) into 0 3.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify (+ 0 0) into 0 3.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 3.817 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 3.817 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 3.817 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.817 * [taylor]: Taking taylor expansion of N in N 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify 1 into 1 3.817 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.817 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.817 * [taylor]: Taking taylor expansion of N in N 3.817 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [backup-simplify]: Simplify (/ 1 1) into 1 3.818 * [taylor]: Taking taylor expansion of 1.0 in N 3.818 * [backup-simplify]: Simplify 1.0 into 1.0 3.818 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.818 * [taylor]: Taking taylor expansion of N in N 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.818 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.818 * [taylor]: Taking taylor expansion of N in N 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [backup-simplify]: Simplify (/ 1 1) into 1 3.818 * [taylor]: Taking taylor expansion of 1.0 in N 3.818 * [backup-simplify]: Simplify 1.0 into 1.0 3.819 * [backup-simplify]: Simplify (+ 1 0) into 1 3.819 * [backup-simplify]: Simplify (* 0 1) into 0 3.819 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.820 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.820 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.820 * [backup-simplify]: Simplify 1 into 1 3.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.821 * [backup-simplify]: Simplify (+ 0 0) into 0 3.822 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.822 * [backup-simplify]: Simplify 1.0 into 1.0 3.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.823 * [backup-simplify]: Simplify (+ 0 0) into 0 3.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.824 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.825 * [backup-simplify]: Simplify (+ 0 0) into 0 3.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.825 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.826 * [backup-simplify]: Simplify (+ 0 0) into 0 3.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 3.827 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.828 * [backup-simplify]: Simplify (+ 0 0) into 0 3.829 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 3.829 * [backup-simplify]: Simplify 0 into 0 3.829 * [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 3.830 * [backup-simplify]: Simplify (+ 0 0) into 0 3.831 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 3.831 * [backup-simplify]: Simplify 0 into 0 3.831 * [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 3.831 * [backup-simplify]: Simplify (+ 0 0) into 0 3.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.833 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 3.833 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 3.833 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.833 * [taylor]: Taking taylor expansion of -1 in N 3.833 * [backup-simplify]: Simplify -1 into -1 3.833 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.833 * [taylor]: Taking taylor expansion of N in N 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.833 * [taylor]: Taking taylor expansion of 1.0 in N 3.833 * [backup-simplify]: Simplify 1.0 into 1.0 3.833 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.833 * [taylor]: Taking taylor expansion of N in N 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [backup-simplify]: Simplify (/ 1 1) into 1 3.833 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.833 * [taylor]: Taking taylor expansion of -1 in N 3.833 * [backup-simplify]: Simplify -1 into -1 3.833 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.833 * [taylor]: Taking taylor expansion of N in N 3.833 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.834 * [taylor]: Taking taylor expansion of 1.0 in N 3.834 * [backup-simplify]: Simplify 1.0 into 1.0 3.834 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.834 * [taylor]: Taking taylor expansion of N in N 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [backup-simplify]: Simplify (/ 1 1) into 1 3.834 * [backup-simplify]: Simplify (- 1) into -1 3.834 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.835 * [backup-simplify]: Simplify (* 0 -1) into 0 3.835 * [backup-simplify]: Simplify (* -1 0) into 0 3.835 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.836 * [backup-simplify]: Simplify (- 0) into 0 3.836 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.836 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.837 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.837 * [backup-simplify]: Simplify 1 into 1 3.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.837 * [backup-simplify]: Simplify (- 0) into 0 3.838 * [backup-simplify]: Simplify (+ 0 0) into 0 3.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.840 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.841 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.841 * [backup-simplify]: Simplify (- 0) into 0 3.842 * [backup-simplify]: Simplify (+ 0 0) into 0 3.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.843 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.843 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (- 0) into 0 3.844 * [backup-simplify]: Simplify (+ 0 0) into 0 3.845 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.846 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.846 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.846 * [backup-simplify]: Simplify (- 0) into 0 3.847 * [backup-simplify]: Simplify (+ 0 0) into 0 3.848 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 3.848 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 3.848 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.849 * [backup-simplify]: Simplify (- 0) into 0 3.849 * [backup-simplify]: Simplify (+ 0 0) into 0 3.850 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 3.851 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 3.851 * [backup-simplify]: Simplify 0 into 0 3.852 * [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 3.852 * [backup-simplify]: Simplify (- 0) into 0 3.852 * [backup-simplify]: Simplify (+ 0 0) into 0 3.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 3.855 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 3.855 * [backup-simplify]: Simplify 0 into 0 3.855 * [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 3.855 * [backup-simplify]: Simplify (- 0) into 0 3.856 * [backup-simplify]: Simplify (+ 0 0) into 0 3.857 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 3.858 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 3.858 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.859 * * * [progress]: simplifying candidates 3.860 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 3.861 * * [simplify]: Extracting # 0 : cost 0 3.861 * * [simplify]: Extracting # 1 : cost 0 3.861 * * [simplify]: Extracting # 2 : cost 0 3.861 * * [simplify]: Extracting # 3 : cost 0 3.861 * * [simplify]: Extracting # 4 : cost 0 3.861 * * [simplify]: Extracting # 5 : cost 0 3.861 * * [simplify]: Extracting # 6 : cost 0 3.862 * * [simplify]: Extracting # 7 : cost 0 3.862 * * [simplify]: Extracting # 8 : cost 0 3.862 * * [simplify]: Extracting # 9 : cost 0 3.862 * * [simplify]: Extracting # 10 : cost 0 3.862 * * [simplify]: iteration 0 : 108 enodes (cost 723 ) 3.884 * * [simplify]: Extracting # 0 : cost 0 3.885 * * [simplify]: Extracting # 1 : cost 0 3.885 * * [simplify]: Extracting # 2 : cost 0 3.885 * * [simplify]: Extracting # 3 : cost 0 3.885 * * [simplify]: Extracting # 4 : cost 0 3.886 * * [simplify]: iteration 1 : 232 enodes (cost 690 ) 4.014 * * [simplify]: Extracting # 0 : cost 0 4.015 * * [simplify]: Extracting # 1 : cost 0 4.015 * * [simplify]: Extracting # 2 : cost 0 4.016 * * [simplify]: Extracting # 3 : cost 0 4.017 * * [simplify]: Extracting # 4 : cost 0 4.021 * * [simplify]: iteration 2 : 583 enodes (cost 637 ) 4.297 * * [simplify]: Extracting # 0 : cost 0 4.298 * * [simplify]: Extracting # 1 : cost 0 4.305 * * [simplify]: Extracting # 2 : cost 0 4.306 * * [simplify]: Extracting # 3 : cost 0 4.307 * * [simplify]: Extracting # 4 : cost 0 4.309 * * [simplify]: iteration 3 : 1417 enodes (cost 624 ) 5.773 * * [simplify]: Extracting # 0 : cost 0 5.783 * * [simplify]: Extracting # 1 : cost 0 5.790 * * [simplify]: Extracting # 2 : cost 0 5.796 * * [simplify]: Extracting # 3 : cost 0 5.802 * * [simplify]: Extracting # 4 : cost 0 5.809 * * [simplify]: iteration 4 : 3874 enodes (cost 622 ) 7.705 * * [simplify]: Extracting # 0 : cost 0 7.716 * * [simplify]: Extracting # 1 : cost 0 7.721 * * [simplify]: Extracting # 2 : cost 0 7.725 * * [simplify]: iteration done: 5001 enodes (cost 622 ) 7.726 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (+ (* 1.0 (- 1.0 N)) (* N N))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (/ (+ 1.0 N) N) (/ (+ 1.0 N) N) (/ (+ 1.0 N) N) 7.726 * * * [progress]: adding candidates to table 7.897 * * [progress]: iteration 3 / 4 7.897 * * * [progress]: picking best candidate 7.908 * * * * [pick]: Picked # 7.908 * * * [progress]: localizing error 7.927 * * * [progress]: generating rewritten candidates 7.927 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.968 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.048 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 8.067 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 8.088 * * * [progress]: generating series expansions 8.089 * * * * [progress]: [ 1 / 4 ] generating series at (2) 8.089 * [backup-simplify]: Simplify (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) into (log (/ (+ N 1.0) N)) 8.089 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 8.089 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 8.089 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.089 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.089 * [taylor]: Taking taylor expansion of N in N 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 1 into 1 8.089 * [taylor]: Taking taylor expansion of 1.0 in N 8.089 * [backup-simplify]: Simplify 1.0 into 1.0 8.089 * [taylor]: Taking taylor expansion of N in N 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 1 into 1 8.090 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.090 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.090 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.090 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 8.090 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.090 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.090 * [taylor]: Taking taylor expansion of N in N 8.090 * [backup-simplify]: Simplify 0 into 0 8.090 * [backup-simplify]: Simplify 1 into 1 8.090 * [taylor]: Taking taylor expansion of 1.0 in N 8.090 * [backup-simplify]: Simplify 1.0 into 1.0 8.090 * [taylor]: Taking taylor expansion of N in N 8.090 * [backup-simplify]: Simplify 0 into 0 8.090 * [backup-simplify]: Simplify 1 into 1 8.091 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.091 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.091 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.092 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.092 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 8.093 * [backup-simplify]: Simplify (+ 1 0) into 1 8.093 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 8.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 8.098 * [backup-simplify]: Simplify 1.0 into 1.0 8.098 * [backup-simplify]: Simplify (+ 0 0) into 0 8.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.110 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 8.111 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 8.113 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 8.113 * [backup-simplify]: Simplify (log (* (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))))) into (log (* N (+ (/ 1 N) 1.0))) 8.114 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 8.114 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 8.114 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.114 * [taylor]: Taking taylor expansion of N in N 8.114 * [backup-simplify]: Simplify 0 into 0 8.114 * [backup-simplify]: Simplify 1 into 1 8.114 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.114 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.114 * [taylor]: Taking taylor expansion of N in N 8.114 * [backup-simplify]: Simplify 0 into 0 8.114 * [backup-simplify]: Simplify 1 into 1 8.114 * [backup-simplify]: Simplify (/ 1 1) into 1 8.114 * [taylor]: Taking taylor expansion of 1.0 in N 8.114 * [backup-simplify]: Simplify 1.0 into 1.0 8.115 * [backup-simplify]: Simplify (+ 1 0) into 1 8.115 * [backup-simplify]: Simplify (* 0 1) into 0 8.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.116 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.117 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.117 * [backup-simplify]: Simplify (log 1) into 0 8.118 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 8.118 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.118 * [taylor]: Taking taylor expansion of N in N 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 1 into 1 8.118 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.118 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.118 * [taylor]: Taking taylor expansion of N in N 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 1 into 1 8.118 * [backup-simplify]: Simplify (/ 1 1) into 1 8.118 * [taylor]: Taking taylor expansion of 1.0 in N 8.118 * [backup-simplify]: Simplify 1.0 into 1.0 8.119 * [backup-simplify]: Simplify (+ 1 0) into 1 8.119 * [backup-simplify]: Simplify (* 0 1) into 0 8.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.120 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.121 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.121 * [backup-simplify]: Simplify (log 1) into 0 8.121 * [backup-simplify]: Simplify 0 into 0 8.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.123 * [backup-simplify]: Simplify (+ 0 0) into 0 8.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.139 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.140 * [backup-simplify]: Simplify 1.0 into 1.0 8.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.141 * [backup-simplify]: Simplify (+ 0 0) into 0 8.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 8.154 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 8.154 * [backup-simplify]: Simplify -0.5 into -0.5 8.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.155 * [backup-simplify]: Simplify (+ 0 0) into 0 8.157 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 8.175 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 8.175 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.176 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 8.176 * [backup-simplify]: Simplify (log (* (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))))) into (log (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2)) 8.176 * [approximate]: Taking taylor expansion of (log (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2)) in (N) around 0 8.176 * [taylor]: Taking taylor expansion of (log (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2)) in N 8.176 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N 8.177 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.177 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.177 * [taylor]: Taking taylor expansion of -1 in N 8.177 * [backup-simplify]: Simplify -1 into -1 8.177 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.177 * [taylor]: Taking taylor expansion of N in N 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 1 into 1 8.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.177 * [taylor]: Taking taylor expansion of 1.0 in N 8.177 * [backup-simplify]: Simplify 1.0 into 1.0 8.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.177 * [taylor]: Taking taylor expansion of N in N 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 1 into 1 8.177 * [backup-simplify]: Simplify (/ 1 1) into 1 8.178 * [backup-simplify]: Simplify (- 1) into -1 8.178 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.179 * [backup-simplify]: Simplify (* 0 -1) into 0 8.179 * [backup-simplify]: Simplify (* -1 0) into 0 8.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.180 * [backup-simplify]: Simplify (- 0) into 0 8.181 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.182 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.182 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.183 * [backup-simplify]: Simplify (sqrt 1) into 1 8.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.184 * [backup-simplify]: Simplify (- 0) into 0 8.184 * [backup-simplify]: Simplify (+ 0 0) into 0 8.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.189 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.191 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 8.192 * [backup-simplify]: Simplify (* 1 1) into 1 8.192 * [backup-simplify]: Simplify (log 1) into 0 8.192 * [taylor]: Taking taylor expansion of (log (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2)) in N 8.192 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N 8.192 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.192 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.192 * [taylor]: Taking taylor expansion of -1 in N 8.192 * [backup-simplify]: Simplify -1 into -1 8.192 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.192 * [taylor]: Taking taylor expansion of N in N 8.192 * [backup-simplify]: Simplify 0 into 0 8.193 * [backup-simplify]: Simplify 1 into 1 8.193 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.193 * [taylor]: Taking taylor expansion of 1.0 in N 8.193 * [backup-simplify]: Simplify 1.0 into 1.0 8.193 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.193 * [taylor]: Taking taylor expansion of N in N 8.193 * [backup-simplify]: Simplify 0 into 0 8.193 * [backup-simplify]: Simplify 1 into 1 8.193 * [backup-simplify]: Simplify (/ 1 1) into 1 8.193 * [backup-simplify]: Simplify (- 1) into -1 8.194 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.194 * [backup-simplify]: Simplify (* 0 -1) into 0 8.195 * [backup-simplify]: Simplify (* -1 0) into 0 8.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.196 * [backup-simplify]: Simplify (- 0) into 0 8.197 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.197 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.198 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.198 * [backup-simplify]: Simplify (sqrt 1) into 1 8.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.200 * [backup-simplify]: Simplify (- 0) into 0 8.200 * [backup-simplify]: Simplify (+ 0 0) into 0 8.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.205 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.207 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 8.207 * [backup-simplify]: Simplify (* 1 1) into 1 8.208 * [backup-simplify]: Simplify (log 1) into 0 8.208 * [backup-simplify]: Simplify 0 into 0 8.209 * [backup-simplify]: Simplify (+ (* 1 -0.5) (* -0.5 1)) into (- 1.0) 8.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 8.217 * [backup-simplify]: Simplify -1.0 into -1.0 8.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.219 * [backup-simplify]: Simplify (- 0) into 0 8.220 * [backup-simplify]: Simplify (+ 0 0) into 0 8.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 8.222 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 8.226 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 8.228 * [backup-simplify]: Simplify (+ (* 1 -0.125) (+ (* -0.5 -0.5) (* -0.125 1))) into 0 8.235 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 8.235 * [backup-simplify]: Simplify -0.5 into -0.5 8.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.236 * [backup-simplify]: Simplify (- 0) into 0 8.236 * [backup-simplify]: Simplify (+ 0 0) into 0 8.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 8.238 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 8.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 8.243 * [backup-simplify]: Simplify (+ (* 1 -0.0625) (+ (* -0.5 -0.125) (+ (* -0.125 -0.5) (* -0.0625 1)))) into 0 8.254 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 8.254 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 8.255 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 8.255 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.255 * [backup-simplify]: Simplify (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) into (/ (+ N 1.0) N) 8.255 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 8.255 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.255 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.255 * [taylor]: Taking taylor expansion of N in N 8.255 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify 1 into 1 8.255 * [taylor]: Taking taylor expansion of 1.0 in N 8.255 * [backup-simplify]: Simplify 1.0 into 1.0 8.255 * [taylor]: Taking taylor expansion of N in N 8.255 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify 1 into 1 8.255 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.256 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.256 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.256 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.256 * [taylor]: Taking taylor expansion of N in N 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify 1 into 1 8.256 * [taylor]: Taking taylor expansion of 1.0 in N 8.256 * [backup-simplify]: Simplify 1.0 into 1.0 8.256 * [taylor]: Taking taylor expansion of N in N 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify 1 into 1 8.256 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.256 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.256 * [backup-simplify]: Simplify 1.0 into 1.0 8.257 * [backup-simplify]: Simplify (+ 1 0) into 1 8.260 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 8.260 * [backup-simplify]: Simplify 1 into 1 8.261 * [backup-simplify]: Simplify (+ 0 0) into 0 8.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.261 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify (+ 0 0) into 0 8.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.262 * [backup-simplify]: Simplify 0 into 0 8.262 * [backup-simplify]: Simplify (+ 0 0) into 0 8.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.263 * [backup-simplify]: Simplify 0 into 0 8.263 * [backup-simplify]: Simplify (+ 0 0) into 0 8.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.265 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify (+ 0 0) into 0 8.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.266 * [backup-simplify]: Simplify 0 into 0 8.267 * [backup-simplify]: Simplify (+ 0 0) into 0 8.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.268 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 8.268 * [backup-simplify]: Simplify (* (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N)))) into (* N (+ (/ 1 N) 1.0)) 8.268 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 8.268 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.268 * [taylor]: Taking taylor expansion of N in N 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 1 into 1 8.269 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.269 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.269 * [taylor]: Taking taylor expansion of N in N 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 1 into 1 8.269 * [backup-simplify]: Simplify (/ 1 1) into 1 8.269 * [taylor]: Taking taylor expansion of 1.0 in N 8.269 * [backup-simplify]: Simplify 1.0 into 1.0 8.269 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.269 * [taylor]: Taking taylor expansion of N in N 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 1 into 1 8.269 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.269 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.269 * [taylor]: Taking taylor expansion of N in N 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 1 into 1 8.270 * [backup-simplify]: Simplify (/ 1 1) into 1 8.270 * [taylor]: Taking taylor expansion of 1.0 in N 8.270 * [backup-simplify]: Simplify 1.0 into 1.0 8.270 * [backup-simplify]: Simplify (+ 1 0) into 1 8.271 * [backup-simplify]: Simplify (* 0 1) into 0 8.271 * [backup-simplify]: Simplify 0 into 0 8.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.272 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.273 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.273 * [backup-simplify]: Simplify 1 into 1 8.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.274 * [backup-simplify]: Simplify (+ 0 0) into 0 8.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.277 * [backup-simplify]: Simplify 1.0 into 1.0 8.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.278 * [backup-simplify]: Simplify (+ 0 0) into 0 8.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 8.280 * [backup-simplify]: Simplify 0 into 0 8.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.281 * [backup-simplify]: Simplify (+ 0 0) into 0 8.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.284 * [backup-simplify]: Simplify (+ 0 0) into 0 8.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 8.286 * [backup-simplify]: Simplify 0 into 0 8.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.287 * [backup-simplify]: Simplify (+ 0 0) into 0 8.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 8.289 * [backup-simplify]: Simplify 0 into 0 8.290 * [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 8.290 * [backup-simplify]: Simplify (+ 0 0) into 0 8.292 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 8.292 * [backup-simplify]: Simplify 0 into 0 8.293 * [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 8.294 * [backup-simplify]: Simplify (+ 0 0) into 0 8.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 8.296 * [backup-simplify]: Simplify 0 into 0 8.296 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 8.297 * [backup-simplify]: Simplify (* (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2) 8.297 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2) in (N) around 0 8.297 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N 8.297 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.297 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.297 * [taylor]: Taking taylor expansion of -1 in N 8.297 * [backup-simplify]: Simplify -1 into -1 8.297 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.297 * [taylor]: Taking taylor expansion of N in N 8.297 * [backup-simplify]: Simplify 0 into 0 8.297 * [backup-simplify]: Simplify 1 into 1 8.297 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.297 * [taylor]: Taking taylor expansion of 1.0 in N 8.297 * [backup-simplify]: Simplify 1.0 into 1.0 8.297 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.297 * [taylor]: Taking taylor expansion of N in N 8.297 * [backup-simplify]: Simplify 0 into 0 8.297 * [backup-simplify]: Simplify 1 into 1 8.298 * [backup-simplify]: Simplify (/ 1 1) into 1 8.298 * [backup-simplify]: Simplify (- 1) into -1 8.298 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.299 * [backup-simplify]: Simplify (* 0 -1) into 0 8.299 * [backup-simplify]: Simplify (* -1 0) into 0 8.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.300 * [backup-simplify]: Simplify (- 0) into 0 8.301 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.302 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.302 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.303 * [backup-simplify]: Simplify (sqrt 1) into 1 8.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.304 * [backup-simplify]: Simplify (- 0) into 0 8.304 * [backup-simplify]: Simplify (+ 0 0) into 0 8.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.309 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.311 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 8.311 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 2) in N 8.311 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.311 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.311 * [taylor]: Taking taylor expansion of -1 in N 8.311 * [backup-simplify]: Simplify -1 into -1 8.311 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.311 * [taylor]: Taking taylor expansion of N in N 8.311 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify 1 into 1 8.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.311 * [taylor]: Taking taylor expansion of 1.0 in N 8.311 * [backup-simplify]: Simplify 1.0 into 1.0 8.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.311 * [taylor]: Taking taylor expansion of N in N 8.311 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify 1 into 1 8.312 * [backup-simplify]: Simplify (/ 1 1) into 1 8.312 * [backup-simplify]: Simplify (- 1) into -1 8.312 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.313 * [backup-simplify]: Simplify (* 0 -1) into 0 8.313 * [backup-simplify]: Simplify (* -1 0) into 0 8.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.314 * [backup-simplify]: Simplify (- 0) into 0 8.315 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.316 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.316 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.317 * [backup-simplify]: Simplify (sqrt 1) into 1 8.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.318 * [backup-simplify]: Simplify (- 0) into 0 8.318 * [backup-simplify]: Simplify (+ 0 0) into 0 8.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.323 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.325 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 8.325 * [backup-simplify]: Simplify (* 1 1) into 1 8.325 * [backup-simplify]: Simplify 1 into 1 8.327 * [backup-simplify]: Simplify (+ (* 1 -0.5) (* -0.5 1)) into (- 1.0) 8.327 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.328 * [backup-simplify]: Simplify (- 0) into 0 8.329 * [backup-simplify]: Simplify (+ 0 0) into 0 8.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 8.331 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 8.334 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 8.337 * [backup-simplify]: Simplify (+ (* 1 -0.125) (+ (* -0.5 -0.5) (* -0.125 1))) into 0 8.337 * [backup-simplify]: Simplify 0 into 0 8.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.339 * [backup-simplify]: Simplify (- 0) into 0 8.339 * [backup-simplify]: Simplify (+ 0 0) into 0 8.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 8.343 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 8.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 8.352 * [backup-simplify]: Simplify (+ (* 1 -0.0625) (+ (* -0.5 -0.125) (+ (* -0.125 -0.5) (* -0.0625 1)))) into 0 8.352 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.353 * [backup-simplify]: Simplify (- 0) into 0 8.354 * [backup-simplify]: Simplify (+ 0 0) into 0 8.355 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 8.357 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 8.363 * [backup-simplify]: Simplify (/ (- 0 (pow -0.125 2) (+ (* 2 (* -0.5 -0.0625)))) (* 2 1)) into -0.0390625 8.371 * [backup-simplify]: Simplify (+ (* 1 -0.0390625) (+ (* -0.5 -0.0625) (+ (* -0.125 -0.125) (+ (* -0.0625 -0.5) (* -0.0390625 1))))) into 0 8.371 * [backup-simplify]: Simplify 0 into 0 8.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.372 * [backup-simplify]: Simplify (- 0) into 0 8.373 * [backup-simplify]: Simplify (+ 0 0) into 0 8.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 8.376 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 8.384 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.0390625)) (* 2 (* -0.125 -0.0625)))) (* 2 1)) into -0.02734375 8.395 * [backup-simplify]: Simplify (+ (* 1 -0.02734375) (+ (* -0.5 -0.0390625) (+ (* -0.125 -0.0625) (+ (* -0.0625 -0.125) (+ (* -0.0390625 -0.5) (* -0.02734375 1)))))) into 0 8.395 * [backup-simplify]: Simplify 0 into 0 8.396 * [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 8.396 * [backup-simplify]: Simplify (- 0) into 0 8.397 * [backup-simplify]: Simplify (+ 0 0) into 0 8.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 8.401 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 8.414 * [backup-simplify]: Simplify (/ (- 0 (pow -0.0625 2) (+ (* 2 (* -0.5 -0.02734375)) (* 2 (* -0.125 -0.0390625)))) (* 2 1)) into -0.0205078125 8.425 * [backup-simplify]: Simplify (+ (* 1 -0.0205078125) (+ (* -0.5 -0.02734375) (+ (* -0.125 -0.0390625) (+ (* -0.0625 -0.0625) (+ (* -0.0390625 -0.125) (+ (* -0.02734375 -0.5) (* -0.0205078125 1))))))) into 0 8.425 * [backup-simplify]: Simplify 0 into 0 8.426 * [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 8.426 * [backup-simplify]: Simplify (- 0) into 0 8.426 * [backup-simplify]: Simplify (+ 0 0) into 0 8.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 8.429 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 8.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -0.5 -0.0205078125)) (* 2 (* -0.125 -0.02734375)) (* 2 (* -0.0625 -0.0390625)))) (* 2 1)) into -0.01611328125 8.445 * [backup-simplify]: Simplify (+ (* 1 -0.01611328125) (+ (* -0.5 -0.0205078125) (+ (* -0.125 -0.02734375) (+ (* -0.0625 -0.0390625) (+ (* -0.0390625 -0.0625) (+ (* -0.02734375 -0.125) (+ (* -0.0205078125 -0.5) (* -0.01611328125 1)))))))) into 0 8.445 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 8.446 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 8.446 * [backup-simplify]: Simplify (sqrt (/ (+ N 1.0) N)) into (sqrt (/ (+ N 1.0) N)) 8.446 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 8.446 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 8.446 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.446 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.446 * [taylor]: Taking taylor expansion of N in N 8.446 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify 1 into 1 8.446 * [taylor]: Taking taylor expansion of 1.0 in N 8.446 * [backup-simplify]: Simplify 1.0 into 1.0 8.446 * [taylor]: Taking taylor expansion of N in N 8.446 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify 1 into 1 8.446 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.447 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.447 * [backup-simplify]: Simplify (sqrt 0) into 0 8.448 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 8.448 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 8.448 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.448 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.448 * [taylor]: Taking taylor expansion of N in N 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify 1 into 1 8.448 * [taylor]: Taking taylor expansion of 1.0 in N 8.448 * [backup-simplify]: Simplify 1.0 into 1.0 8.448 * [taylor]: Taking taylor expansion of N in N 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify 1 into 1 8.448 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.449 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.449 * [backup-simplify]: Simplify (sqrt 0) into 0 8.450 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 8.450 * [backup-simplify]: Simplify 0 into 0 8.450 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.450 * [backup-simplify]: Simplify (+ 1 0) into 1 8.450 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 8.453 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.453 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.454 * [backup-simplify]: Simplify (+ 0 0) into 0 8.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.459 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.459 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 8.459 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 8.459 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 8.459 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 8.459 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.459 * [taylor]: Taking taylor expansion of N in N 8.459 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify 1 into 1 8.459 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.459 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.459 * [taylor]: Taking taylor expansion of N in N 8.459 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify 1 into 1 8.460 * [backup-simplify]: Simplify (/ 1 1) into 1 8.460 * [taylor]: Taking taylor expansion of 1.0 in N 8.460 * [backup-simplify]: Simplify 1.0 into 1.0 8.460 * [backup-simplify]: Simplify (+ 1 0) into 1 8.461 * [backup-simplify]: Simplify (* 0 1) into 0 8.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.462 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.463 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.463 * [backup-simplify]: Simplify (sqrt 1) into 1 8.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.465 * [backup-simplify]: Simplify (+ 0 0) into 0 8.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.469 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 8.469 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 8.469 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.469 * [taylor]: Taking taylor expansion of N in N 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify 1 into 1 8.469 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.469 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.469 * [taylor]: Taking taylor expansion of N in N 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify 1 into 1 8.469 * [backup-simplify]: Simplify (/ 1 1) into 1 8.469 * [taylor]: Taking taylor expansion of 1.0 in N 8.469 * [backup-simplify]: Simplify 1.0 into 1.0 8.470 * [backup-simplify]: Simplify (+ 1 0) into 1 8.470 * [backup-simplify]: Simplify (* 0 1) into 0 8.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.471 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.472 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.472 * [backup-simplify]: Simplify (sqrt 1) into 1 8.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.473 * [backup-simplify]: Simplify (+ 0 0) into 0 8.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.477 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 8.477 * [backup-simplify]: Simplify 1 into 1 8.477 * [backup-simplify]: Simplify 0.5 into 0.5 8.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.478 * [backup-simplify]: Simplify (+ 0 0) into 0 8.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 8.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 8.483 * [backup-simplify]: Simplify -0.125 into -0.125 8.483 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 8.483 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 8.483 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 8.483 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.483 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.483 * [taylor]: Taking taylor expansion of -1 in N 8.483 * [backup-simplify]: Simplify -1 into -1 8.483 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.483 * [taylor]: Taking taylor expansion of N in N 8.483 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify 1 into 1 8.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.484 * [taylor]: Taking taylor expansion of 1.0 in N 8.484 * [backup-simplify]: Simplify 1.0 into 1.0 8.484 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.484 * [taylor]: Taking taylor expansion of N in N 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify 1 into 1 8.484 * [backup-simplify]: Simplify (/ 1 1) into 1 8.484 * [backup-simplify]: Simplify (- 1) into -1 8.485 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.485 * [backup-simplify]: Simplify (* 0 -1) into 0 8.486 * [backup-simplify]: Simplify (* -1 0) into 0 8.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.487 * [backup-simplify]: Simplify (- 0) into 0 8.487 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.488 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.488 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.489 * [backup-simplify]: Simplify (sqrt 1) into 1 8.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.490 * [backup-simplify]: Simplify (- 0) into 0 8.490 * [backup-simplify]: Simplify (+ 0 0) into 0 8.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.495 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.497 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 8.497 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.497 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.497 * [taylor]: Taking taylor expansion of -1 in N 8.497 * [backup-simplify]: Simplify -1 into -1 8.497 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.497 * [taylor]: Taking taylor expansion of N in N 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.497 * [taylor]: Taking taylor expansion of 1.0 in N 8.497 * [backup-simplify]: Simplify 1.0 into 1.0 8.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.498 * [taylor]: Taking taylor expansion of N in N 8.498 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify 1 into 1 8.498 * [backup-simplify]: Simplify (/ 1 1) into 1 8.498 * [backup-simplify]: Simplify (- 1) into -1 8.499 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.499 * [backup-simplify]: Simplify (* 0 -1) into 0 8.499 * [backup-simplify]: Simplify (* -1 0) into 0 8.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.501 * [backup-simplify]: Simplify (- 0) into 0 8.501 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.502 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.502 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.503 * [backup-simplify]: Simplify (sqrt 1) into 1 8.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.504 * [backup-simplify]: Simplify (- 0) into 0 8.504 * [backup-simplify]: Simplify (+ 0 0) into 0 8.507 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.509 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.512 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 8.512 * [backup-simplify]: Simplify 1 into 1 8.512 * [backup-simplify]: Simplify -0.5 into -0.5 8.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.513 * [backup-simplify]: Simplify (- 0) into 0 8.514 * [backup-simplify]: Simplify (+ 0 0) into 0 8.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 8.516 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 8.520 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 8.520 * [backup-simplify]: Simplify -0.125 into -0.125 8.520 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 8.520 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 8.521 * [backup-simplify]: Simplify (sqrt (/ (+ N 1.0) N)) into (sqrt (/ (+ N 1.0) N)) 8.521 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 8.521 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 8.521 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.521 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.521 * [taylor]: Taking taylor expansion of N in N 8.521 * [backup-simplify]: Simplify 0 into 0 8.521 * [backup-simplify]: Simplify 1 into 1 8.521 * [taylor]: Taking taylor expansion of 1.0 in N 8.521 * [backup-simplify]: Simplify 1.0 into 1.0 8.521 * [taylor]: Taking taylor expansion of N in N 8.521 * [backup-simplify]: Simplify 0 into 0 8.521 * [backup-simplify]: Simplify 1 into 1 8.521 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.522 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.522 * [backup-simplify]: Simplify (sqrt 0) into 0 8.524 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 8.524 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 8.524 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 8.524 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 8.524 * [taylor]: Taking taylor expansion of N in N 8.524 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify 1 into 1 8.524 * [taylor]: Taking taylor expansion of 1.0 in N 8.524 * [backup-simplify]: Simplify 1.0 into 1.0 8.524 * [taylor]: Taking taylor expansion of N in N 8.524 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify 1 into 1 8.525 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.525 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.525 * [backup-simplify]: Simplify (sqrt 0) into 0 8.527 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 8.527 * [backup-simplify]: Simplify 0 into 0 8.527 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.527 * [backup-simplify]: Simplify (+ 1 0) into 1 8.533 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 8.536 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.536 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.537 * [backup-simplify]: Simplify (+ 0 0) into 0 8.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.542 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.542 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 8.542 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 8.542 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 8.542 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 8.542 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.542 * [taylor]: Taking taylor expansion of N in N 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify 1 into 1 8.542 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.542 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.542 * [taylor]: Taking taylor expansion of N in N 8.542 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 1 into 1 8.543 * [backup-simplify]: Simplify (/ 1 1) into 1 8.543 * [taylor]: Taking taylor expansion of 1.0 in N 8.543 * [backup-simplify]: Simplify 1.0 into 1.0 8.544 * [backup-simplify]: Simplify (+ 1 0) into 1 8.544 * [backup-simplify]: Simplify (* 0 1) into 0 8.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.545 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.546 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.546 * [backup-simplify]: Simplify (sqrt 1) into 1 8.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.548 * [backup-simplify]: Simplify (+ 0 0) into 0 8.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.552 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 8.552 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 8.552 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 8.552 * [taylor]: Taking taylor expansion of N in N 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify 1 into 1 8.552 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.552 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.552 * [taylor]: Taking taylor expansion of N in N 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify 1 into 1 8.552 * [backup-simplify]: Simplify (/ 1 1) into 1 8.552 * [taylor]: Taking taylor expansion of 1.0 in N 8.552 * [backup-simplify]: Simplify 1.0 into 1.0 8.553 * [backup-simplify]: Simplify (+ 1 0) into 1 8.553 * [backup-simplify]: Simplify (* 0 1) into 0 8.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.554 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.555 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 8.556 * [backup-simplify]: Simplify (sqrt 1) into 1 8.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.557 * [backup-simplify]: Simplify (+ 0 0) into 0 8.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 8.561 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 8.561 * [backup-simplify]: Simplify 1 into 1 8.561 * [backup-simplify]: Simplify 0.5 into 0.5 8.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.562 * [backup-simplify]: Simplify (+ 0 0) into 0 8.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 8.567 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 8.567 * [backup-simplify]: Simplify -0.125 into -0.125 8.567 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 8.568 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) 8.568 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 8.568 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.568 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.568 * [taylor]: Taking taylor expansion of -1 in N 8.568 * [backup-simplify]: Simplify -1 into -1 8.568 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.568 * [taylor]: Taking taylor expansion of N in N 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 1 into 1 8.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.568 * [taylor]: Taking taylor expansion of 1.0 in N 8.568 * [backup-simplify]: Simplify 1.0 into 1.0 8.568 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.568 * [taylor]: Taking taylor expansion of N in N 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 1 into 1 8.568 * [backup-simplify]: Simplify (/ 1 1) into 1 8.569 * [backup-simplify]: Simplify (- 1) into -1 8.569 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.570 * [backup-simplify]: Simplify (* 0 -1) into 0 8.570 * [backup-simplify]: Simplify (* -1 0) into 0 8.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.571 * [backup-simplify]: Simplify (- 0) into 0 8.572 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.572 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.573 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.573 * [backup-simplify]: Simplify (sqrt 1) into 1 8.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.575 * [backup-simplify]: Simplify (- 0) into 0 8.575 * [backup-simplify]: Simplify (+ 0 0) into 0 8.578 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.580 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.581 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 8.582 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 8.582 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 8.582 * [taylor]: Taking taylor expansion of -1 in N 8.582 * [backup-simplify]: Simplify -1 into -1 8.582 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 8.582 * [taylor]: Taking taylor expansion of N in N 8.582 * [backup-simplify]: Simplify 0 into 0 8.582 * [backup-simplify]: Simplify 1 into 1 8.582 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.582 * [taylor]: Taking taylor expansion of 1.0 in N 8.582 * [backup-simplify]: Simplify 1.0 into 1.0 8.582 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.582 * [taylor]: Taking taylor expansion of N in N 8.582 * [backup-simplify]: Simplify 0 into 0 8.582 * [backup-simplify]: Simplify 1 into 1 8.582 * [backup-simplify]: Simplify (/ 1 1) into 1 8.583 * [backup-simplify]: Simplify (- 1) into -1 8.583 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.584 * [backup-simplify]: Simplify (* 0 -1) into 0 8.584 * [backup-simplify]: Simplify (* -1 0) into 0 8.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.585 * [backup-simplify]: Simplify (- 0) into 0 8.586 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.586 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 8.587 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.587 * [backup-simplify]: Simplify (sqrt 1) into 1 8.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.589 * [backup-simplify]: Simplify (- 0) into 0 8.589 * [backup-simplify]: Simplify (+ 0 0) into 0 8.592 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 8.594 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 8.596 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 8.596 * [backup-simplify]: Simplify 1 into 1 8.596 * [backup-simplify]: Simplify -0.5 into -0.5 8.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.597 * [backup-simplify]: Simplify (- 0) into 0 8.598 * [backup-simplify]: Simplify (+ 0 0) into 0 8.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 8.601 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 8.604 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 8.604 * [backup-simplify]: Simplify -0.125 into -0.125 8.604 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- N)) 2)) (+ (* -0.5 (/ 1 (- N))) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 8.604 * * * [progress]: simplifying candidates 8.611 * [simplify]: Simplifying: (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0)))) (log (* (sqrt N) (sqrt N))) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)))) (log (sqrt N)) (log (* (sqrt (+ N 1.0)) (sqrt (/ (+ N 1.0) N)))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (log (* (/ (+ N 1.0) N) (/ (+ N 1.0) N))) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (log (* (/ (+ N 1.0) N) (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (exp (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (* (cbrt (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (cbrt (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))))) (cbrt (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (* (* (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (sqrt (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (sqrt (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (+ 1 1) (+ (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (exp (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (* (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N)))) (* (cbrt (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (cbrt (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))))) (cbrt (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (* (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)))) (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (sqrt (* (sqrt 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0 8.617 * * [simplify]: iteration 0 : 183 enodes (cost 3094 ) 8.685 * * [simplify]: Extracting # 0 : cost 0 8.687 * * [simplify]: Extracting # 1 : cost 0 8.687 * * [simplify]: Extracting # 2 : cost 0 8.688 * * [simplify]: Extracting # 3 : cost 0 8.689 * * [simplify]: Extracting # 4 : cost 0 8.689 * * [simplify]: iteration 1 : 314 enodes (cost 2141 ) 8.805 * * [simplify]: Extracting # 0 : cost 0 8.807 * * [simplify]: Extracting # 1 : cost 0 8.809 * * [simplify]: Extracting # 2 : cost 0 8.811 * * [simplify]: Extracting # 3 : cost 0 8.812 * * [simplify]: Extracting # 4 : cost 0 8.813 * * [simplify]: iteration 2 : 938 enodes (cost 1980 ) 9.462 * * [simplify]: Extracting # 0 : cost 0 9.467 * * [simplify]: Extracting # 1 : cost 0 9.472 * * [simplify]: Extracting # 2 : cost 0 9.477 * * [simplify]: Extracting # 3 : cost 0 9.482 * * [simplify]: Extracting # 4 : cost 0 9.487 * * [simplify]: iteration 3 : 2495 enodes (cost 1949 ) 10.554 * * [simplify]: Extracting # 0 : cost 0 10.560 * * [simplify]: Extracting # 1 : cost 0 10.565 * * [simplify]: Extracting # 2 : cost 0 10.571 * * [simplify]: Extracting # 3 : cost 0 10.576 * * [simplify]: Extracting # 4 : cost 0 10.581 * * [simplify]: iteration done: 5002 enodes (cost 1925 ) 10.582 * [simplify]: Simplified to: (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (+ N 1.0)) (log N) (log (* (sqrt (+ N 1.0)) (sqrt (/ (+ N 1.0) N)))) (log (sqrt N)) (log (* (sqrt (+ N 1.0)) (sqrt (/ (+ N 1.0) N)))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (* (log (/ (+ N 1.0) N)) 2) (log (/ (+ N 1.0) N)) (* (log (/ (+ N 1.0) N)) 2) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 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(sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) 1 (/ (+ N 1.0) N) 1 (/ (+ N 1.0) N) (+ N 1.0) (/ 1 N) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) 1 (/ (+ N 1.0) N) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (/ (+ N 1.0) N)))) (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (/ (+ N 1.0) N)))) (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (/ (+ N 1.0) N)))) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (/ (+ N 1.0) N)))) (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (/ (+ N 1.0) N)))) (* (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) 1 2 1 (pow (cbrt (sqrt (/ (+ N 1.0) N))) (+ 4 1)) (* (sqrt (/ (+ N 1.0) N)) (fabs (cbrt (/ (+ N 1.0) N)))) (pow (sqrt (sqrt (/ (+ N 1.0) N))) 3) (* (sqrt (/ (+ N 1.0) N)) (fabs (/ (cbrt (+ N 1.0)) (cbrt N)))) (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (* (fabs (cbrt (+ N 1.0))) (sqrt (/ (+ N 1.0) N))) (* (fabs (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (sqrt (/ (+ N 1.0) N))) (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (* (sqrt (sqrt (+ N 1.0))) (sqrt (/ (+ N 1.0) N))) (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (sqrt N)))) (sqrt (/ (+ N 1.0) N)) (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (sqrt N)))) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt (/ (+ N 1.0) N))) (pow (sqrt (sqrt (/ (+ N 1.0) N))) 3) (sqrt (/ (+ N 1.0) N)) (pow (cbrt (sqrt (/ (+ N 1.0) N))) 4) (* (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (pow (sqrt (sqrt (/ (+ N 1.0) N))) 3) (* (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (+ N 1.0) N))) (* (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (+ N 1.0) N))) (* (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (+ N 1.0) N))) (* (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (+ N 1.0) N))) (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (* (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (+ N 1.0) N))) (* (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ (+ N 1.0) N))) (* (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ (+ N 1.0) N))) (* (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (/ (+ N 1.0) N) (* (sqrt (/ 1 N)) (sqrt (/ (+ N 1.0) N))) (pow (sqrt (sqrt (/ (+ N 1.0) N))) 3) (/ (+ N 1.0) N) (* (sqrt (+ N 1.0)) (sqrt (/ (+ N 1.0) N))) (* (sqrt (+ N 1.0)) (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (pow (sqrt (/ (+ N 1.0) N)) 3) (fabs (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fabs (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (fabs (cbrt (+ N 1.0))) (sqrt (/ (cbrt (+ N 1.0)) N)) (fabs (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (+ N 1.0))) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (pow (sqrt (/ (+ N 1.0) N)) 3) (fabs (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fabs (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (fabs (cbrt (+ N 1.0))) (sqrt (/ (cbrt (+ N 1.0)) N)) (fabs (/ (sqrt (sqrt (+ N 1.0))) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (sqrt (+ N 1.0))) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (pow N 2)))) (+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (pow N 2)))) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) (- (* N (- +nan.0 (* +nan.0 N))) +nan.0) (+ (/ 0.5 N) (- 1 (/ 0.125 (pow N 2)))) (+ (/ 0.5 N) (- 1 (/ 0.125 (pow N 2)))) (- (* N (- +nan.0 (* +nan.0 N))) +nan.0) (+ (/ 0.5 N) (- 1 (/ 0.125 (pow N 2)))) (+ (/ 0.5 N) (- 1 (/ 0.125 (pow N 2)))) 10.584 * * * [progress]: adding candidates to table 11.144 * * [progress]: iteration 4 / 4 11.144 * * * [progress]: picking best candidate 11.147 * * * * [pick]: Picked # 11.148 * * * [progress]: localizing error 11.159 * * * [progress]: generating rewritten candidates 11.159 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 11.165 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 11.190 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 11.208 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 11.217 * * * [progress]: generating series expansions 11.218 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 11.218 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 11.218 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 11.218 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 11.218 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 11.218 * [taylor]: Taking taylor expansion of N in N 11.218 * [backup-simplify]: Simplify 0 into 0 11.218 * [backup-simplify]: Simplify 1 into 1 11.218 * [taylor]: Taking taylor expansion of 1.0 in N 11.218 * [backup-simplify]: Simplify 1.0 into 1.0 11.218 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.219 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.219 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 11.219 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 11.219 * [taylor]: Taking taylor expansion of N in N 11.219 * [backup-simplify]: Simplify 0 into 0 11.219 * [backup-simplify]: Simplify 1 into 1 11.219 * [taylor]: Taking taylor expansion of 1.0 in N 11.219 * [backup-simplify]: Simplify 1.0 into 1.0 11.219 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.219 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.220 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.220 * [backup-simplify]: Simplify (+ 1 0) into 1 11.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 11.223 * [backup-simplify]: Simplify 1.0 into 1.0 11.223 * [backup-simplify]: Simplify (+ 0 0) into 0 11.229 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 11.235 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 11.236 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 11.236 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 11.237 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 11.237 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 11.237 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.237 * [taylor]: Taking taylor expansion of N in N 11.237 * [backup-simplify]: Simplify 0 into 0 11.237 * [backup-simplify]: Simplify 1 into 1 11.237 * [backup-simplify]: Simplify (/ 1 1) into 1 11.237 * [taylor]: Taking taylor expansion of 1.0 in N 11.237 * [backup-simplify]: Simplify 1.0 into 1.0 11.237 * [backup-simplify]: Simplify (+ 1 0) into 1 11.238 * [backup-simplify]: Simplify (log 1) into 0 11.238 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 11.238 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.238 * [taylor]: Taking taylor expansion of N in N 11.238 * [backup-simplify]: Simplify 0 into 0 11.238 * [backup-simplify]: Simplify 1 into 1 11.238 * [backup-simplify]: Simplify (/ 1 1) into 1 11.238 * [taylor]: Taking taylor expansion of 1.0 in N 11.238 * [backup-simplify]: Simplify 1.0 into 1.0 11.238 * [backup-simplify]: Simplify (+ 1 0) into 1 11.238 * [backup-simplify]: Simplify (log 1) into 0 11.239 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.239 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 11.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.240 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 11.245 * [backup-simplify]: Simplify 1.0 into 1.0 11.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.246 * [backup-simplify]: Simplify (+ 0 0) into 0 11.253 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 11.253 * [backup-simplify]: Simplify -0.5 into -0.5 11.253 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 11.253 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 11.253 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 11.253 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 11.253 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.253 * [taylor]: Taking taylor expansion of 1.0 in N 11.253 * [backup-simplify]: Simplify 1.0 into 1.0 11.253 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.253 * [taylor]: Taking taylor expansion of N in N 11.253 * [backup-simplify]: Simplify 0 into 0 11.253 * [backup-simplify]: Simplify 1 into 1 11.253 * [backup-simplify]: Simplify (/ 1 1) into 1 11.254 * [backup-simplify]: Simplify (- 1) into -1 11.254 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.254 * [backup-simplify]: Simplify (log -1) into (log -1) 11.254 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 11.254 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.254 * [taylor]: Taking taylor expansion of 1.0 in N 11.254 * [backup-simplify]: Simplify 1.0 into 1.0 11.254 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.254 * [taylor]: Taking taylor expansion of N in N 11.254 * [backup-simplify]: Simplify 0 into 0 11.254 * [backup-simplify]: Simplify 1 into 1 11.255 * [backup-simplify]: Simplify (/ 1 1) into 1 11.255 * [backup-simplify]: Simplify (- 1) into -1 11.255 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.255 * [backup-simplify]: Simplify (log -1) into (log -1) 11.256 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.256 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 11.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.257 * [backup-simplify]: Simplify (- 0) into 0 11.257 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 11.261 * [backup-simplify]: Simplify -1.0 into -1.0 11.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.262 * [backup-simplify]: Simplify (- 0) into 0 11.262 * [backup-simplify]: Simplify (+ 0 0) into 0 11.269 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 11.269 * [backup-simplify]: Simplify -0.5 into -0.5 11.270 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 11.270 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 11.270 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 11.270 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 11.270 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 11.270 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 11.270 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 11.270 * [taylor]: Taking taylor expansion of N in N 11.270 * [backup-simplify]: Simplify 0 into 0 11.270 * [backup-simplify]: Simplify 1 into 1 11.270 * [taylor]: Taking taylor expansion of 1.0 in N 11.270 * [backup-simplify]: Simplify 1.0 into 1.0 11.271 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.271 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.271 * [taylor]: Taking taylor expansion of (log N) in N 11.271 * [taylor]: Taking taylor expansion of N in N 11.271 * [backup-simplify]: Simplify 0 into 0 11.271 * [backup-simplify]: Simplify 1 into 1 11.271 * [backup-simplify]: Simplify (log 1) into 0 11.271 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 11.271 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 11.271 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 11.271 * [taylor]: Taking taylor expansion of N in N 11.271 * [backup-simplify]: Simplify 0 into 0 11.271 * [backup-simplify]: Simplify 1 into 1 11.271 * [taylor]: Taking taylor expansion of 1.0 in N 11.272 * [backup-simplify]: Simplify 1.0 into 1.0 11.272 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.272 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.272 * [taylor]: Taking taylor expansion of (log N) in N 11.272 * [taylor]: Taking taylor expansion of N in N 11.273 * [backup-simplify]: Simplify 0 into 0 11.273 * [backup-simplify]: Simplify 1 into 1 11.273 * [backup-simplify]: Simplify (log 1) into 0 11.273 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.274 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 11.274 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 11.274 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 11.275 * [backup-simplify]: Simplify (+ 1 0) into 1 11.281 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 11.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.282 * [backup-simplify]: Simplify (- 0) into 0 11.283 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.283 * [backup-simplify]: Simplify 1.0 into 1.0 11.283 * [backup-simplify]: Simplify (+ 0 0) into 0 11.294 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 11.297 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.298 * [backup-simplify]: Simplify (- 0) into 0 11.299 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 11.301 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 11.303 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 11.303 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 11.304 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 11.304 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 11.304 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 11.304 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.304 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.304 * [taylor]: Taking taylor expansion of N in N 11.304 * [backup-simplify]: Simplify 0 into 0 11.304 * [backup-simplify]: Simplify 1 into 1 11.304 * [backup-simplify]: Simplify (/ 1 1) into 1 11.304 * [taylor]: Taking taylor expansion of 1.0 in N 11.304 * [backup-simplify]: Simplify 1.0 into 1.0 11.304 * [backup-simplify]: Simplify (+ 1 0) into 1 11.304 * [backup-simplify]: Simplify (log 1) into 0 11.304 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.304 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.305 * [taylor]: Taking taylor expansion of N in N 11.305 * [backup-simplify]: Simplify 0 into 0 11.305 * [backup-simplify]: Simplify 1 into 1 11.305 * [backup-simplify]: Simplify (/ 1 1) into 1 11.305 * [backup-simplify]: Simplify (log 1) into 0 11.305 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 11.305 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 11.305 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.305 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.305 * [taylor]: Taking taylor expansion of N in N 11.305 * [backup-simplify]: Simplify 0 into 0 11.305 * [backup-simplify]: Simplify 1 into 1 11.305 * [backup-simplify]: Simplify (/ 1 1) into 1 11.305 * [taylor]: Taking taylor expansion of 1.0 in N 11.305 * [backup-simplify]: Simplify 1.0 into 1.0 11.306 * [backup-simplify]: Simplify (+ 1 0) into 1 11.306 * [backup-simplify]: Simplify (log 1) into 0 11.306 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.306 * [taylor]: Taking taylor expansion of N in N 11.306 * [backup-simplify]: Simplify 0 into 0 11.306 * [backup-simplify]: Simplify 1 into 1 11.306 * [backup-simplify]: Simplify (/ 1 1) into 1 11.307 * [backup-simplify]: Simplify (log 1) into 0 11.307 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.307 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.307 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 11.307 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 11.307 * [backup-simplify]: Simplify 0 into 0 11.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.308 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 11.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.313 * [backup-simplify]: Simplify (- 0) into 0 11.313 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.314 * [backup-simplify]: Simplify 1.0 into 1.0 11.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.314 * [backup-simplify]: Simplify (+ 0 0) into 0 11.321 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 11.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.323 * [backup-simplify]: Simplify (- 0) into 0 11.323 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 11.324 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.325 * [backup-simplify]: Simplify (+ 0 0) into 0 11.338 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 11.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.349 * [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 11.349 * [backup-simplify]: Simplify (- 0) into 0 11.349 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 11.350 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.350 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 11.350 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 11.350 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 11.350 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 11.350 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 11.350 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.350 * [taylor]: Taking taylor expansion of 1.0 in N 11.350 * [backup-simplify]: Simplify 1.0 into 1.0 11.350 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.350 * [taylor]: Taking taylor expansion of N in N 11.351 * [backup-simplify]: Simplify 0 into 0 11.351 * [backup-simplify]: Simplify 1 into 1 11.351 * [backup-simplify]: Simplify (/ 1 1) into 1 11.351 * [backup-simplify]: Simplify (- 1) into -1 11.351 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.352 * [backup-simplify]: Simplify (log -1) into (log -1) 11.352 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 11.352 * [taylor]: Taking taylor expansion of (/ -1 N) in N 11.352 * [taylor]: Taking taylor expansion of -1 in N 11.352 * [backup-simplify]: Simplify -1 into -1 11.352 * [taylor]: Taking taylor expansion of N in N 11.352 * [backup-simplify]: Simplify 0 into 0 11.352 * [backup-simplify]: Simplify 1 into 1 11.352 * [backup-simplify]: Simplify (/ -1 1) into -1 11.352 * [backup-simplify]: Simplify (log -1) into (log -1) 11.352 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 11.352 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 11.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.352 * [taylor]: Taking taylor expansion of 1.0 in N 11.352 * [backup-simplify]: Simplify 1.0 into 1.0 11.352 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.352 * [taylor]: Taking taylor expansion of N in N 11.352 * [backup-simplify]: Simplify 0 into 0 11.352 * [backup-simplify]: Simplify 1 into 1 11.353 * [backup-simplify]: Simplify (/ 1 1) into 1 11.353 * [backup-simplify]: Simplify (- 1) into -1 11.353 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.353 * [backup-simplify]: Simplify (log -1) into (log -1) 11.353 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 11.353 * [taylor]: Taking taylor expansion of (/ -1 N) in N 11.353 * [taylor]: Taking taylor expansion of -1 in N 11.353 * [backup-simplify]: Simplify -1 into -1 11.353 * [taylor]: Taking taylor expansion of N in N 11.353 * [backup-simplify]: Simplify 0 into 0 11.353 * [backup-simplify]: Simplify 1 into 1 11.354 * [backup-simplify]: Simplify (/ -1 1) into -1 11.354 * [backup-simplify]: Simplify (log -1) into (log -1) 11.355 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.355 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.355 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 11.356 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 11.356 * [backup-simplify]: Simplify 0 into 0 11.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.357 * [backup-simplify]: Simplify (- 0) into 0 11.357 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.361 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 11.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.362 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.362 * [backup-simplify]: Simplify (- 0) into 0 11.363 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 11.363 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.364 * [backup-simplify]: Simplify (- 0) into 0 11.364 * [backup-simplify]: Simplify (+ 0 0) into 0 11.371 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 11.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.373 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 11.373 * [backup-simplify]: Simplify (- 0) into 0 11.374 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 11.374 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.375 * [backup-simplify]: Simplify (- 0) into 0 11.375 * [backup-simplify]: Simplify (+ 0 0) into 0 11.386 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 11.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.390 * [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 11.390 * [backup-simplify]: Simplify (- 0) into 0 11.390 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 11.391 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 11.392 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 11.392 * * * * [progress]: [ 3 / 4 ] generating series at (2) 11.392 * [backup-simplify]: Simplify (exp (log (- (log (+ N 1.0)) (log N)))) into (- (log (+ N 1.0)) (log N)) 11.392 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 11.392 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 11.392 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 11.392 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 11.392 * [taylor]: Taking taylor expansion of N in N 11.392 * [backup-simplify]: Simplify 0 into 0 11.392 * [backup-simplify]: Simplify 1 into 1 11.392 * [taylor]: Taking taylor expansion of 1.0 in N 11.392 * [backup-simplify]: Simplify 1.0 into 1.0 11.393 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.393 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.393 * [taylor]: Taking taylor expansion of (log N) in N 11.393 * [taylor]: Taking taylor expansion of N in N 11.393 * [backup-simplify]: Simplify 0 into 0 11.393 * [backup-simplify]: Simplify 1 into 1 11.393 * [backup-simplify]: Simplify (log 1) into 0 11.393 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 11.393 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 11.393 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 11.393 * [taylor]: Taking taylor expansion of N in N 11.393 * [backup-simplify]: Simplify 0 into 0 11.393 * [backup-simplify]: Simplify 1 into 1 11.393 * [taylor]: Taking taylor expansion of 1.0 in N 11.393 * [backup-simplify]: Simplify 1.0 into 1.0 11.394 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.394 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.394 * [taylor]: Taking taylor expansion of (log N) in N 11.394 * [taylor]: Taking taylor expansion of N in N 11.394 * [backup-simplify]: Simplify 0 into 0 11.394 * [backup-simplify]: Simplify 1 into 1 11.395 * [backup-simplify]: Simplify (log 1) into 0 11.395 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.395 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 11.395 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 11.396 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 11.396 * [backup-simplify]: Simplify (+ 1 0) into 1 11.399 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 11.400 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.401 * [backup-simplify]: Simplify (- 0) into 0 11.401 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.401 * [backup-simplify]: Simplify 1.0 into 1.0 11.401 * [backup-simplify]: Simplify (+ 0 0) into 0 11.410 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 11.413 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.414 * [backup-simplify]: Simplify (- 0) into 0 11.416 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 11.419 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 11.423 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 11.423 * [backup-simplify]: Simplify (exp (log (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 11.423 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 11.423 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 11.423 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 11.423 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.424 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.424 * [taylor]: Taking taylor expansion of N in N 11.424 * [backup-simplify]: Simplify 0 into 0 11.424 * [backup-simplify]: Simplify 1 into 1 11.424 * [backup-simplify]: Simplify (/ 1 1) into 1 11.424 * [taylor]: Taking taylor expansion of 1.0 in N 11.424 * [backup-simplify]: Simplify 1.0 into 1.0 11.425 * [backup-simplify]: Simplify (+ 1 0) into 1 11.425 * [backup-simplify]: Simplify (log 1) into 0 11.425 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.425 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.425 * [taylor]: Taking taylor expansion of N in N 11.425 * [backup-simplify]: Simplify 0 into 0 11.425 * [backup-simplify]: Simplify 1 into 1 11.426 * [backup-simplify]: Simplify (/ 1 1) into 1 11.426 * [backup-simplify]: Simplify (log 1) into 0 11.426 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 11.426 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 11.426 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.426 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.426 * [taylor]: Taking taylor expansion of N in N 11.426 * [backup-simplify]: Simplify 0 into 0 11.427 * [backup-simplify]: Simplify 1 into 1 11.427 * [backup-simplify]: Simplify (/ 1 1) into 1 11.427 * [taylor]: Taking taylor expansion of 1.0 in N 11.427 * [backup-simplify]: Simplify 1.0 into 1.0 11.427 * [backup-simplify]: Simplify (+ 1 0) into 1 11.428 * [backup-simplify]: Simplify (log 1) into 0 11.428 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.428 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.428 * [taylor]: Taking taylor expansion of N in N 11.428 * [backup-simplify]: Simplify 0 into 0 11.428 * [backup-simplify]: Simplify 1 into 1 11.428 * [backup-simplify]: Simplify (/ 1 1) into 1 11.429 * [backup-simplify]: Simplify (log 1) into 0 11.429 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.430 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.430 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 11.430 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 11.430 * [backup-simplify]: Simplify 0 into 0 11.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.431 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.439 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 11.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.440 * [backup-simplify]: Simplify (- 0) into 0 11.441 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.441 * [backup-simplify]: Simplify 1.0 into 1.0 11.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.441 * [backup-simplify]: Simplify (+ 0 0) into 0 11.448 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 11.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.453 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.454 * [backup-simplify]: Simplify (- 0) into 0 11.454 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 11.454 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.455 * [backup-simplify]: Simplify (+ 0 0) into 0 11.465 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 11.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.469 * [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 11.470 * [backup-simplify]: Simplify (- 0) into 0 11.470 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 11.470 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.471 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 11.472 * [backup-simplify]: Simplify (exp (log (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 11.472 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 11.472 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 11.472 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 11.472 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.472 * [taylor]: Taking taylor expansion of 1.0 in N 11.472 * [backup-simplify]: Simplify 1.0 into 1.0 11.472 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.472 * [taylor]: Taking taylor expansion of N in N 11.472 * [backup-simplify]: Simplify 0 into 0 11.472 * [backup-simplify]: Simplify 1 into 1 11.472 * [backup-simplify]: Simplify (/ 1 1) into 1 11.473 * [backup-simplify]: Simplify (- 1) into -1 11.473 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.473 * [backup-simplify]: Simplify (log -1) into (log -1) 11.473 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 11.473 * [taylor]: Taking taylor expansion of (/ -1 N) in N 11.473 * [taylor]: Taking taylor expansion of -1 in N 11.474 * [backup-simplify]: Simplify -1 into -1 11.474 * [taylor]: Taking taylor expansion of N in N 11.474 * [backup-simplify]: Simplify 0 into 0 11.474 * [backup-simplify]: Simplify 1 into 1 11.474 * [backup-simplify]: Simplify (/ -1 1) into -1 11.474 * [backup-simplify]: Simplify (log -1) into (log -1) 11.474 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 11.474 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 11.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.474 * [taylor]: Taking taylor expansion of 1.0 in N 11.475 * [backup-simplify]: Simplify 1.0 into 1.0 11.475 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.475 * [taylor]: Taking taylor expansion of N in N 11.475 * [backup-simplify]: Simplify 0 into 0 11.475 * [backup-simplify]: Simplify 1 into 1 11.475 * [backup-simplify]: Simplify (/ 1 1) into 1 11.475 * [backup-simplify]: Simplify (- 1) into -1 11.476 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.476 * [backup-simplify]: Simplify (log -1) into (log -1) 11.476 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 11.476 * [taylor]: Taking taylor expansion of (/ -1 N) in N 11.476 * [taylor]: Taking taylor expansion of -1 in N 11.476 * [backup-simplify]: Simplify -1 into -1 11.476 * [taylor]: Taking taylor expansion of N in N 11.476 * [backup-simplify]: Simplify 0 into 0 11.476 * [backup-simplify]: Simplify 1 into 1 11.477 * [backup-simplify]: Simplify (/ -1 1) into -1 11.477 * [backup-simplify]: Simplify (log -1) into (log -1) 11.478 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.479 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.479 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 11.480 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 11.480 * [backup-simplify]: Simplify 0 into 0 11.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.481 * [backup-simplify]: Simplify (- 0) into 0 11.481 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.488 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 11.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.491 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.491 * [backup-simplify]: Simplify (- 0) into 0 11.491 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 11.491 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.492 * [backup-simplify]: Simplify (- 0) into 0 11.492 * [backup-simplify]: Simplify (+ 0 0) into 0 11.499 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 11.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.501 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 11.502 * [backup-simplify]: Simplify (- 0) into 0 11.502 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 11.502 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.503 * [backup-simplify]: Simplify (- 0) into 0 11.503 * [backup-simplify]: Simplify (+ 0 0) into 0 11.514 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 11.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.518 * [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 11.518 * [backup-simplify]: Simplify (- 0) into 0 11.518 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 11.518 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 11.519 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 11.519 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 11.520 * [backup-simplify]: Simplify (log (- (log (+ N 1.0)) (log N))) into (log (- (log (+ N 1.0)) (log N))) 11.520 * [approximate]: Taking taylor expansion of (log (- (log (+ N 1.0)) (log N))) in (N) around 0 11.520 * [taylor]: Taking taylor expansion of (log (- (log (+ N 1.0)) (log N))) in N 11.520 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 11.520 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 11.520 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 11.520 * [taylor]: Taking taylor expansion of N in N 11.520 * [backup-simplify]: Simplify 0 into 0 11.520 * [backup-simplify]: Simplify 1 into 1 11.520 * [taylor]: Taking taylor expansion of 1.0 in N 11.520 * [backup-simplify]: Simplify 1.0 into 1.0 11.520 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.520 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.520 * [taylor]: Taking taylor expansion of (log N) in N 11.520 * [taylor]: Taking taylor expansion of N in N 11.520 * [backup-simplify]: Simplify 0 into 0 11.520 * [backup-simplify]: Simplify 1 into 1 11.521 * [backup-simplify]: Simplify (log 1) into 0 11.521 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.521 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 11.521 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 11.522 * [backup-simplify]: Simplify (log (- (log 1.0) (log N))) into (log (- (log 1.0) (log N))) 11.522 * [taylor]: Taking taylor expansion of (log (- (log (+ N 1.0)) (log N))) in N 11.522 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 11.522 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 11.522 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 11.522 * [taylor]: Taking taylor expansion of N in N 11.522 * [backup-simplify]: Simplify 0 into 0 11.522 * [backup-simplify]: Simplify 1 into 1 11.522 * [taylor]: Taking taylor expansion of 1.0 in N 11.522 * [backup-simplify]: Simplify 1.0 into 1.0 11.522 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.522 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.522 * [taylor]: Taking taylor expansion of (log N) in N 11.522 * [taylor]: Taking taylor expansion of N in N 11.522 * [backup-simplify]: Simplify 0 into 0 11.522 * [backup-simplify]: Simplify 1 into 1 11.523 * [backup-simplify]: Simplify (log 1) into 0 11.523 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.523 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 11.523 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 11.524 * [backup-simplify]: Simplify (log (- (log 1.0) (log N))) into (log (- (log 1.0) (log N))) 11.524 * [backup-simplify]: Simplify (log (- (log 1.0) (log N))) into (log (- (log 1.0) (log N))) 11.524 * [backup-simplify]: Simplify (+ 1 0) into 1 11.527 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 11.528 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.528 * [backup-simplify]: Simplify (- 0) into 0 11.529 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.530 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (- (log 1.0) (log N)) 1)))) 1) into (/ 1.0 (- (log 1.0) (log N))) 11.530 * [backup-simplify]: Simplify (/ 1.0 (- (log 1.0) (log N))) into (/ 1.0 (- (log 1.0) (log N))) 11.531 * [backup-simplify]: Simplify (+ 0 0) into 0 11.537 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 11.538 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.539 * [backup-simplify]: Simplify (- 0) into 0 11.540 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 11.548 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (- (log 1.0) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow 1.0 2))))) 1)) (pow (- (log 1.0) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N)))) (* 1.0 (/ 1 (pow (- (log 1.0) (log N)) 2))))) 11.550 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N)))) (* 1.0 (/ 1 (pow (- (log 1.0) (log N)) 2))))) into (* -1/2 (+ (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N)))) (* 1.0 (/ 1 (pow (- (log 1.0) (log N)) 2))))) 11.557 * [backup-simplify]: Simplify (+ (* (* -1/2 (+ (/ 1 (* (pow 1.0 2) (- (log 1.0) (log N)))) (* 1.0 (/ 1 (pow (- (log 1.0) (log N)) 2))))) (pow N 2)) (+ (* (/ 1.0 (- (log 1.0) (log N))) N) (log (- (log 1.0) (log N))))) into (- (+ (log (- (log 1.0) (log N))) (* 1.0 (/ N (- (log 1.0) (log N))))) (+ (* 1/2 (/ (pow N 2) (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.5 (/ (pow N 2) (pow (- (log 1.0) (log N)) 2))))) 11.558 * [backup-simplify]: Simplify (log (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N)))) into (log (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N)))) 11.558 * [approximate]: Taking taylor expansion of (log (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N)))) in (N) around 0 11.558 * [taylor]: Taking taylor expansion of (log (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N)))) in N 11.558 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 11.558 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 11.558 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.558 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.558 * [taylor]: Taking taylor expansion of N in N 11.558 * [backup-simplify]: Simplify 0 into 0 11.558 * [backup-simplify]: Simplify 1 into 1 11.558 * [backup-simplify]: Simplify (/ 1 1) into 1 11.558 * [taylor]: Taking taylor expansion of 1.0 in N 11.558 * [backup-simplify]: Simplify 1.0 into 1.0 11.559 * [backup-simplify]: Simplify (+ 1 0) into 1 11.559 * [backup-simplify]: Simplify (log 1) into 0 11.559 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.559 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.559 * [taylor]: Taking taylor expansion of N in N 11.559 * [backup-simplify]: Simplify 0 into 0 11.559 * [backup-simplify]: Simplify 1 into 1 11.560 * [backup-simplify]: Simplify (/ 1 1) into 1 11.560 * [backup-simplify]: Simplify (log 1) into 0 11.561 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.561 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.561 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 11.561 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 11.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.563 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 11.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.571 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.572 * [backup-simplify]: Simplify (- 0) into 0 11.572 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.573 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.573 * [taylor]: Taking taylor expansion of (log (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N)))) in N 11.573 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 11.573 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 11.573 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 11.573 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.573 * [taylor]: Taking taylor expansion of N in N 11.573 * [backup-simplify]: Simplify 0 into 0 11.573 * [backup-simplify]: Simplify 1 into 1 11.573 * [backup-simplify]: Simplify (/ 1 1) into 1 11.573 * [taylor]: Taking taylor expansion of 1.0 in N 11.573 * [backup-simplify]: Simplify 1.0 into 1.0 11.574 * [backup-simplify]: Simplify (+ 1 0) into 1 11.574 * [backup-simplify]: Simplify (log 1) into 0 11.574 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.574 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.574 * [taylor]: Taking taylor expansion of N in N 11.574 * [backup-simplify]: Simplify 0 into 0 11.574 * [backup-simplify]: Simplify 1 into 1 11.575 * [backup-simplify]: Simplify (/ 1 1) into 1 11.575 * [backup-simplify]: Simplify (log 1) into 0 11.576 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.576 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.576 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 11.576 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 11.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.578 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.584 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 11.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.587 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.587 * [backup-simplify]: Simplify (- 0) into 0 11.588 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.588 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 11.588 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 11.589 * [backup-simplify]: Simplify (+ (log 1.0) (log N)) into (+ (log 1.0) (log N)) 11.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.589 * [backup-simplify]: Simplify (+ 0 0) into 0 11.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 11.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.598 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.599 * [backup-simplify]: Simplify (- 0) into 0 11.599 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 11.605 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 1.0 1)))) 1) into -0.5 11.605 * [backup-simplify]: Simplify -0.5 into -0.5 11.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.606 * [backup-simplify]: Simplify (+ 0 0) into 0 11.616 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 11.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.619 * [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 11.620 * [backup-simplify]: Simplify (- 0) into 0 11.620 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 11.630 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 11.633 * [backup-simplify]: Simplify (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 11.636 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) (pow (/ 1 N) 2)) (+ (* -0.5 (/ 1 N)) (+ (log 1.0) (log (/ 1 N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) (+ (log 1.0) (log (/ 1 N)))) (+ (* 0.125 (/ 1 (* (pow N 2) (pow 1.0 2)))) (* 0.5 (/ 1 N)))) 11.636 * [backup-simplify]: Simplify (log (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N))))) into (log (- (log (- 1.0 (/ 1 N))) (log (/ -1 N)))) 11.636 * [approximate]: Taking taylor expansion of (log (- (log (- 1.0 (/ 1 N))) (log (/ -1 N)))) in (N) around 0 11.636 * [taylor]: Taking taylor expansion of (log (- (log (- 1.0 (/ 1 N))) (log (/ -1 N)))) in N 11.636 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 11.636 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 11.636 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.636 * [taylor]: Taking taylor expansion of 1.0 in N 11.636 * [backup-simplify]: Simplify 1.0 into 1.0 11.636 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.636 * [taylor]: Taking taylor expansion of N in N 11.636 * [backup-simplify]: Simplify 0 into 0 11.636 * [backup-simplify]: Simplify 1 into 1 11.637 * [backup-simplify]: Simplify (/ 1 1) into 1 11.637 * [backup-simplify]: Simplify (- 1) into -1 11.637 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.638 * [backup-simplify]: Simplify (log -1) into (log -1) 11.638 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 11.638 * [taylor]: Taking taylor expansion of (/ -1 N) in N 11.638 * [taylor]: Taking taylor expansion of -1 in N 11.638 * [backup-simplify]: Simplify -1 into -1 11.638 * [taylor]: Taking taylor expansion of N in N 11.638 * [backup-simplify]: Simplify 0 into 0 11.638 * [backup-simplify]: Simplify 1 into 1 11.638 * [backup-simplify]: Simplify (/ -1 1) into -1 11.638 * [backup-simplify]: Simplify (log -1) into (log -1) 11.639 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.639 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.640 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 11.640 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 11.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.641 * [backup-simplify]: Simplify (- 0) into 0 11.642 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.646 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 11.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.647 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.647 * [backup-simplify]: Simplify (- 0) into 0 11.648 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 11.648 * [backup-simplify]: Simplify (log (- 1.0)) into (log (- 1.0)) 11.648 * [taylor]: Taking taylor expansion of (log (- (log (- 1.0 (/ 1 N))) (log (/ -1 N)))) in N 11.648 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 11.648 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 11.648 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 11.648 * [taylor]: Taking taylor expansion of 1.0 in N 11.648 * [backup-simplify]: Simplify 1.0 into 1.0 11.648 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.648 * [taylor]: Taking taylor expansion of N in N 11.649 * [backup-simplify]: Simplify 0 into 0 11.649 * [backup-simplify]: Simplify 1 into 1 11.649 * [backup-simplify]: Simplify (/ 1 1) into 1 11.649 * [backup-simplify]: Simplify (- 1) into -1 11.649 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.650 * [backup-simplify]: Simplify (log -1) into (log -1) 11.650 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 11.650 * [taylor]: Taking taylor expansion of (/ -1 N) in N 11.650 * [taylor]: Taking taylor expansion of -1 in N 11.650 * [backup-simplify]: Simplify -1 into -1 11.650 * [taylor]: Taking taylor expansion of N in N 11.650 * [backup-simplify]: Simplify 0 into 0 11.650 * [backup-simplify]: Simplify 1 into 1 11.650 * [backup-simplify]: Simplify (/ -1 1) into -1 11.650 * [backup-simplify]: Simplify (log -1) into (log -1) 11.651 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.651 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 11.652 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 11.652 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 11.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.653 * [backup-simplify]: Simplify (- 0) into 0 11.653 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 11.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.664 * [backup-simplify]: Simplify (- 0) into 0 11.664 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 11.665 * [backup-simplify]: Simplify (log (- 1.0)) into (log (- 1.0)) 11.666 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- 1.0))) into (+ (log (- 1.0)) (log N)) 11.667 * [backup-simplify]: Simplify (+ (log (- 1.0)) (log N)) into (+ (log (- 1.0)) (log N)) 11.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.669 * [backup-simplify]: Simplify (- 0) into 0 11.669 * [backup-simplify]: Simplify (+ 0 0) into 0 11.681 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 11.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.685 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 11.686 * [backup-simplify]: Simplify (- 0) into 0 11.686 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 11.696 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow (- 1.0) 1)))) 1) into 0.5 11.696 * [backup-simplify]: Simplify 0.5 into 0.5 11.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.697 * [backup-simplify]: Simplify (- 0) into 0 11.697 * [backup-simplify]: Simplify (+ 0 0) into 0 11.716 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 11.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.724 * [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 11.724 * [backup-simplify]: Simplify (- 0) into 0 11.724 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 11.737 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow (- 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- 0.3333333333333333)) 1)) (pow (- 1.0) 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2))))) 11.740 * [backup-simplify]: Simplify (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2))))) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2))))) 11.743 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2))))) (pow (/ 1 (- N)) 2)) (+ (* 0.5 (/ 1 (- N))) (+ (log (- 1.0)) (log (/ 1 (- N)))))) into (- (+ (log (- 1.0)) (+ (* 0.3333333333333333 (/ 1 (pow N 2))) (log (/ -1 N)))) (+ (* 0.125 (/ 1 (* (pow N 2) (pow -1.0 2)))) (* 0.5 (/ 1 N)))) 11.743 * * * [progress]: simplifying candidates 11.745 * [simplify]: Simplifying: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (exp 1) (exp (* (cbrt (log (- (log (+ N 1.0)) (log N)))) (cbrt (log (- (log (+ N 1.0)) (log N)))))) (exp (sqrt (log (- (log (+ N 1.0)) (log N))))) (exp 1) (exp (log (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))))) (exp (log (cbrt (- (log (+ N 1.0)) (log N))))) (exp (log (sqrt (- (log (+ N 1.0)) (log N))))) (exp (log (sqrt (- (log (+ N 1.0)) (log N))))) (exp (log 1)) (exp (log (- (log (+ N 1.0)) (log N)))) (exp (log (+ (sqrt (log (+ N 1.0))) (sqrt (log N))))) (exp (log (- (sqrt (log (+ N 1.0))) (sqrt (log N))))) (exp (log 1)) (exp (log (- (log (+ N 1.0)) (log N)))) (exp (log 1)) (exp (log (- (log (+ N 1.0)) (log N)))) (exp (log 1)) (exp (log (- (log (+ N 1.0)) (log N)))) (exp (log 1)) (exp (log (- (log (+ N 1.0)) (log N)))) (exp (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (exp (log (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))))) (exp (log (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))))) (exp (log (+ (log (+ N 1.0)) (log N)))) (log (exp (log (- (log (+ N 1.0)) (log N))))) (exp (exp (log (- (log (+ N 1.0)) (log N))))) (* (cbrt (exp (log (- (log (+ N 1.0)) (log N))))) (cbrt (exp (log (- (log (+ N 1.0)) (log N)))))) (cbrt (exp (log (- (log (+ N 1.0)) (log N))))) (* (* (exp (log (- (log (+ N 1.0)) (log N)))) (exp (log (- (log (+ N 1.0)) (log N))))) (exp (log (- (log (+ N 1.0)) (log N))))) (sqrt (exp (log (- (log (+ N 1.0)) (log N))))) (sqrt (exp (log (- (log (+ N 1.0)) (log N))))) (log (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N))))) (log (cbrt (- (log (+ N 1.0)) (log N)))) (log (sqrt (- (log (+ N 1.0)) (log N)))) (log (sqrt (- (log (+ N 1.0)) (log N)))) (log 1) (log (- (log (+ N 1.0)) (log N))) (log (+ (sqrt (log (+ N 1.0))) (sqrt (log N)))) (log (- (sqrt (log (+ N 1.0))) (sqrt (log N)))) (log 1) (log (- (log (+ N 1.0)) (log N))) (log 1) (log (- (log (+ N 1.0)) (log N))) (log 1) (log (- (log (+ N 1.0)) (log N))) (log 1) (log (- (log (+ N 1.0)) (log N))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (log (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N))))) (log (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (log (+ (log (+ N 1.0)) (log N))) (log (- (log (+ N 1.0)) (log N))) (log (log (- (log (+ N 1.0)) (log N)))) (exp (log (- (log (+ N 1.0)) (log N)))) (* (cbrt (log (- (log (+ N 1.0)) (log N)))) (cbrt (log (- (log (+ N 1.0)) (log N))))) (cbrt (log (- (log (+ N 1.0)) (log N)))) (* (* (log (- (log (+ N 1.0)) (log N))) (log (- (log (+ N 1.0)) (log N)))) (log (- (log (+ N 1.0)) (log N)))) (sqrt (log (- (log (+ N 1.0)) (log N)))) (sqrt (log (- (log (+ N 1.0)) (log N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (log (- (log 1.0) (log N))) (* 1.0 (/ N (- (log 1.0) (log N))))) (+ (* 1/2 (/ (pow N 2) (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.5 (/ (pow N 2) (pow (- (log 1.0) (log N)) 2))))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) (+ (log 1.0) (log (/ 1 N)))) (+ (* 0.125 (/ 1 (* (pow N 2) (pow 1.0 2)))) (* 0.5 (/ 1 N)))) (- (+ (log (- 1.0)) (+ (* 0.3333333333333333 (/ 1 (pow N 2))) (log (/ -1 N)))) (+ (* 0.125 (/ 1 (* (pow N 2) (pow -1.0 2)))) (* 0.5 (/ 1 N)))) 11.747 * * [simplify]: Extracting # 0 : cost 0 11.747 * * [simplify]: Extracting # 1 : cost 0 11.747 * * [simplify]: Extracting # 2 : cost 0 11.747 * * [simplify]: Extracting # 3 : cost 0 11.747 * * [simplify]: Extracting # 4 : cost 0 11.748 * * [simplify]: Extracting # 5 : cost 0 11.748 * * [simplify]: Extracting # 6 : cost 0 11.748 * * [simplify]: Extracting # 7 : cost 0 11.748 * * [simplify]: Extracting # 8 : cost 0 11.748 * * [simplify]: Extracting # 9 : cost 0 11.749 * * [simplify]: iteration 0 : 171 enodes (cost 1286 ) 11.787 * * [simplify]: Extracting # 0 : cost 0 11.787 * * [simplify]: Extracting # 1 : cost 0 11.787 * * [simplify]: Extracting # 2 : cost 0 11.788 * * [simplify]: Extracting # 3 : cost 0 11.788 * * [simplify]: Extracting # 4 : cost 0 11.789 * * [simplify]: iteration 1 : 347 enodes (cost 1186 ) 11.912 * * [simplify]: Extracting # 0 : cost 0 11.912 * * [simplify]: Extracting # 1 : cost 0 11.913 * * [simplify]: Extracting # 2 : cost 0 11.914 * * [simplify]: Extracting # 3 : cost 0 11.915 * * [simplify]: Extracting # 4 : cost 0 11.917 * * [simplify]: iteration 2 : 844 enodes (cost 1065 ) 12.489 * * [simplify]: Extracting # 0 : cost 0 12.492 * * [simplify]: Extracting # 1 : cost 0 12.494 * * [simplify]: Extracting # 2 : cost 0 12.497 * * [simplify]: Extracting # 3 : cost 0 12.499 * * [simplify]: Extracting # 4 : cost 0 12.501 * * [simplify]: iteration 3 : 2418 enodes (cost 1051 ) 13.563 * * [simplify]: Extracting # 0 : cost 0 13.575 * * [simplify]: Extracting # 1 : cost 0 13.591 * * [simplify]: Extracting # 2 : cost 0 13.597 * * [simplify]: Extracting # 3 : cost 0 13.602 * * [simplify]: Extracting # 4 : cost 0 13.607 * * [simplify]: iteration done: 5000 enodes (cost 1036 ) 13.608 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (pow (cbrt (- (log (+ N 1.0)) (log N))) 2) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (+ (log (+ N 1.0)) (log N)) (log (+ N 1.0))) (* (log N) (log N))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) E (exp (* (cbrt (log (- (log (+ N 1.0)) (log N)))) (cbrt (log (- (log (+ N 1.0)) (log N)))))) (exp (sqrt (log (- (log (+ N 1.0)) (log N))))) E (pow (cbrt (- (log (+ N 1.0)) (log N))) 2) (cbrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) 1 (- (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) 1 (- (log (+ N 1.0)) (log N)) 1 (- (log (+ N 1.0)) (log N)) 1 (- (log (+ N 1.0)) (log N)) 1 (- (log (+ N 1.0)) (log N)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (+ (log (+ N 1.0)) (log N)) (log (+ N 1.0))) (* (log N) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (pow (cbrt (- (log (+ N 1.0)) (log N))) 2) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (* 2 (log (cbrt (- (log (+ N 1.0)) (log N))))) (log (cbrt (- (log (+ N 1.0)) (log N)))) (log (sqrt (- (log (+ N 1.0)) (log N)))) (log (sqrt (- (log (+ N 1.0)) (log N)))) 0 (log (- (log (+ N 1.0)) (log N))) (log (+ (sqrt (log (+ N 1.0))) (sqrt (log N)))) (log (- (sqrt (log (+ N 1.0))) (sqrt (log N)))) 0 (log (- (log (+ N 1.0)) (log N))) 0 (log (- (log (+ N 1.0)) (log N))) 0 (log (- (log (+ N 1.0)) (log N))) 0 (log (- (log (+ N 1.0)) (log N))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (log (+ (* (+ (log (+ N 1.0)) (log N)) (log (+ N 1.0))) (* (log N) (log N)))) (log (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (log (+ (log (+ N 1.0)) (log N))) (log (- (log (+ N 1.0)) (log N))) (log (log (- (log (+ N 1.0)) (log N)))) (- (log (+ N 1.0)) (log N)) (* (cbrt (log (- (log (+ N 1.0)) (log N)))) (cbrt (log (- (log (+ N 1.0)) (log N))))) (cbrt (log (- (log (+ N 1.0)) (log N)))) (pow (log (- (log (+ N 1.0)) (log N))) 3) (sqrt (log (- (log (+ N 1.0)) (log N)))) (sqrt (log (- (log (+ N 1.0)) (log N)))) (+ (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (* N 1.0)) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (+ (log (- (log 1.0) (log N))) (- (* (/ N (- (log 1.0) (log N))) (- 1.0 (* 1/2 (/ N (* 1.0 1.0))))) (* 0.5 (/ (pow N 2) (pow (- (log 1.0) (log N)) 2))))) (+ (- (* (/ 1 (pow N 2)) (- 0.3333333333333333 (/ 0.125 (* 1.0 1.0)))) (/ 0.5 N)) (- (log 1.0) (log N))) (- (+ (log (/ -1 N)) (* (/ 1 (pow N 2)) (- 0.3333333333333333 (/ (/ 0.125 -1.0) -1.0)))) (- (/ 0.5 N) (log (- 1.0)))) 13.609 * * * [progress]: adding candidates to table 13.879 * [progress]: [Phase 3 of 3] Extracting. 13.879 * * [regime]: Finding splitpoints for: (# # #) 13.879 * * * [regime-changes]: Trying 2 branch expressions: ((- (log (+ N 1.0)) (log N)) N) 13.879 * * * * [regimes]: Trying to branch on (- (log (+ N 1.0)) (log N)) from (# # #) 13.904 * * * * [regimes]: Trying to branch on N from (# # #) 13.938 * * * [regime]: Found split indices: #