19.144 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.063 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.067 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.067 * * [simplify]: Extracting # 0 : cost 0 0.067 * * [simplify]: Extracting # 1 : cost 0 0.067 * * [simplify]: Extracting # 2 : cost 0 0.068 * * [simplify]: Extracting # 3 : cost 0 0.068 * * [simplify]: Extracting # 4 : cost 0 0.068 * * [simplify]: Extracting # 5 : cost 0 0.068 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.070 * * [simplify]: Extracting # 0 : cost 0 0.070 * * [simplify]: Extracting # 1 : cost 0 0.070 * * [simplify]: Extracting # 2 : cost 0 0.070 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.072 * * [simplify]: Extracting # 0 : cost 0 0.072 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.075 * * [simplify]: Extracting # 0 : cost 0 0.075 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.075 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.076 * * [progress]: iteration 1 / 4 0.076 * * * [progress]: picking best candidate 0.079 * * * * [pick]: Picked # 0.079 * * * [progress]: localizing error 0.094 * * * [progress]: generating rewritten candidates 0.094 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.100 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.131 * * * [progress]: generating series expansions 0.131 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.131 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.131 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.131 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.131 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.131 * [taylor]: Taking taylor expansion of N in N 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of 1.0 in N 0.132 * [backup-simplify]: Simplify 1.0 into 1.0 0.132 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.132 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.132 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.132 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.132 * [taylor]: Taking taylor expansion of N in N 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of 1.0 in N 0.132 * [backup-simplify]: Simplify 1.0 into 1.0 0.133 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.133 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.134 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.134 * [backup-simplify]: Simplify (+ 1 0) into 1 0.139 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.139 * [backup-simplify]: Simplify 1.0 into 1.0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [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)) 0.150 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.151 * [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)))) 0.151 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.151 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.151 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.151 * [taylor]: Taking taylor expansion of (/ 1 N) 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 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of 1.0 in N 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.152 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [backup-simplify]: Simplify (log 1) into 0 0.152 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.152 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of 1.0 in N 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.153 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [backup-simplify]: Simplify (log 1) into 0 0.153 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.153 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.157 * [backup-simplify]: Simplify 1.0 into 1.0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [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 0.164 * [backup-simplify]: Simplify -0.5 into -0.5 0.165 * [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)))) 0.165 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.165 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.165 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.165 * [taylor]: Taking taylor expansion of 1.0 in N 0.165 * [backup-simplify]: Simplify 1.0 into 1.0 0.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [backup-simplify]: Simplify (- 1) into -1 0.166 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.166 * [backup-simplify]: Simplify (log -1) into (log -1) 0.166 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.166 * [taylor]: Taking taylor expansion of 1.0 in N 0.166 * [backup-simplify]: Simplify 1.0 into 1.0 0.166 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [backup-simplify]: Simplify (- 1) into -1 0.167 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.167 * [backup-simplify]: Simplify (log -1) into (log -1) 0.168 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.168 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.173 * [backup-simplify]: Simplify -1.0 into -1.0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [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 0.183 * [backup-simplify]: Simplify -0.5 into -0.5 0.184 * [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)))) 0.184 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.184 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.184 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.185 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.185 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.185 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of 1.0 in N 0.185 * [backup-simplify]: Simplify 1.0 into 1.0 0.185 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.186 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.186 * [taylor]: Taking taylor expansion of (log N) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (log 1) into 0 0.186 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.186 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.186 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of 1.0 in N 0.186 * [backup-simplify]: Simplify 1.0 into 1.0 0.187 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.187 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.187 * [taylor]: Taking taylor expansion of (log N) in N 0.187 * [taylor]: Taking taylor expansion of N in N 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (log 1) into 0 0.188 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.188 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.189 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.189 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.197 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.197 * [backup-simplify]: Simplify 1.0 into 1.0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [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)) 0.213 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.218 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.222 * [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))) 0.222 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.223 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.223 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.223 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.223 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.223 * [taylor]: Taking taylor expansion of N in N 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [taylor]: Taking taylor expansion of 1.0 in N 0.223 * [backup-simplify]: Simplify 1.0 into 1.0 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.224 * [backup-simplify]: Simplify (log 1) into 0 0.224 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.224 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [backup-simplify]: Simplify (log 1) into 0 0.225 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.225 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.225 * [taylor]: Taking taylor expansion of (/ 1 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 0.226 * [backup-simplify]: Simplify (/ 1 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 (+ 1 0) into 1 0.226 * [backup-simplify]: Simplify (log 1) into 0 0.226 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.227 * [taylor]: Taking taylor expansion of N in N 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [backup-simplify]: Simplify (log 1) into 0 0.228 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.228 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.228 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.229 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.234 * [backup-simplify]: Simplify 1.0 into 1.0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [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 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.249 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [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 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [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 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.274 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.275 * [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)))) 0.275 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.275 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.275 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.276 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.276 * [taylor]: Taking taylor expansion of 1.0 in N 0.276 * [backup-simplify]: Simplify 1.0 into 1.0 0.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.276 * [taylor]: Taking taylor expansion of N in N 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [backup-simplify]: Simplify (- 1) into -1 0.277 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.277 * [backup-simplify]: Simplify (log -1) into (log -1) 0.277 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.277 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.277 * [taylor]: Taking taylor expansion of -1 in N 0.277 * [backup-simplify]: Simplify -1 into -1 0.277 * [taylor]: Taking taylor expansion of N in N 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ -1 1) into -1 0.279 * [backup-simplify]: Simplify (log -1) into (log -1) 0.279 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.279 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.279 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.279 * [taylor]: Taking taylor expansion of 1.0 in N 0.279 * [backup-simplify]: Simplify 1.0 into 1.0 0.279 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.279 * [taylor]: Taking taylor expansion of N in N 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [backup-simplify]: Simplify (- 1) into -1 0.280 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.280 * [backup-simplify]: Simplify (log -1) into (log -1) 0.280 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.280 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.280 * [taylor]: Taking taylor expansion of -1 in N 0.281 * [backup-simplify]: Simplify -1 into -1 0.281 * [taylor]: Taking taylor expansion of N in N 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (/ -1 1) into -1 0.281 * [backup-simplify]: Simplify (log -1) into (log -1) 0.282 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.283 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.284 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.284 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.296 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [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 0.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.313 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [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 0.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [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 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.342 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.344 * [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)))) 0.344 * * * [progress]: simplifying candidates 0.346 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (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))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 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)))) 0.349 * * [simplify]: Extracting # 0 : cost 0 0.349 * * [simplify]: Extracting # 1 : cost 0 0.349 * * [simplify]: Extracting # 2 : cost 0 0.350 * * [simplify]: Extracting # 3 : cost 0 0.350 * * [simplify]: Extracting # 4 : cost 0 0.350 * * [simplify]: Extracting # 5 : cost 0 0.351 * * [simplify]: Extracting # 6 : cost 0 0.351 * * [simplify]: Extracting # 7 : cost 0 0.351 * * [simplify]: Extracting # 8 : cost 0 0.352 * * [simplify]: Extracting # 9 : cost 0 0.352 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.409 * * [simplify]: Extracting # 0 : cost 0 0.409 * * [simplify]: Extracting # 1 : cost 0 0.410 * * [simplify]: Extracting # 2 : cost 0 0.411 * * [simplify]: Extracting # 3 : cost 0 0.411 * * [simplify]: Extracting # 4 : cost 0 0.412 * * [simplify]: iteration 1 : 288 enodes (cost 863 ) 0.585 * * [simplify]: Extracting # 0 : cost 0 0.596 * * [simplify]: Extracting # 1 : cost 0 0.598 * * [simplify]: Extracting # 2 : cost 0 0.601 * * [simplify]: Extracting # 3 : cost 0 0.603 * * [simplify]: iteration 2 : 1086 enodes (cost 705 ) 1.589 * * [simplify]: Extracting # 0 : cost 0 1.603 * * [simplify]: Extracting # 1 : cost 0 1.613 * * [simplify]: Extracting # 2 : cost 0 1.619 * * [simplify]: Extracting # 3 : cost 0 1.626 * * [simplify]: Extracting # 4 : cost 0 1.632 * * [simplify]: iteration done: 5001 enodes (cost 614 ) 1.632 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 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 (fma 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))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (pow (cbrt (log (+ N 1.0))) 3) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 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)) (fma (log N) (log N) (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0))))) (- (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 (fma N N (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (fma -1/2 (/ (pow N 2) (pow 1.0 2)) (fma 1.0 N (log 1.0))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (+ (- (log -1) (+ (log (/ -1 N)) (/ 0.5 (* N N)))) (/ 1.0 N)) (- (fma 1.0 N (log 1.0)) (fma 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)))) 1.633 * * * [progress]: adding candidates to table 1.805 * * [progress]: iteration 2 / 4 1.805 * * * [progress]: picking best candidate 1.813 * * * * [pick]: Picked # 1.813 * * * [progress]: localizing error 1.819 * * * [progress]: generating rewritten candidates 1.819 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.829 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.879 * * * [progress]: generating series expansions 1.879 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.879 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.879 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.880 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.880 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.880 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.880 * [taylor]: Taking taylor expansion of N in N 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [taylor]: Taking taylor expansion of 1.0 in N 1.880 * [backup-simplify]: Simplify 1.0 into 1.0 1.880 * [taylor]: Taking taylor expansion of N in N 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.881 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.882 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.882 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.882 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.882 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.882 * [taylor]: Taking taylor expansion of N in N 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [taylor]: Taking taylor expansion of 1.0 in N 1.882 * [backup-simplify]: Simplify 1.0 into 1.0 1.882 * [taylor]: Taking taylor expansion of N in N 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.883 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.883 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.884 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.885 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.885 * [backup-simplify]: Simplify (+ 1 0) into 1 1.886 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.891 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.891 * [backup-simplify]: Simplify 1.0 into 1.0 1.892 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.900 * [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)) 1.901 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.902 * [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))) 1.902 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.902 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.902 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.902 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.902 * [taylor]: Taking taylor expansion of N in N 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.902 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.902 * [taylor]: Taking taylor expansion of N in N 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [backup-simplify]: Simplify (/ 1 1) into 1 1.902 * [taylor]: Taking taylor expansion of 1.0 in N 1.902 * [backup-simplify]: Simplify 1.0 into 1.0 1.903 * [backup-simplify]: Simplify (+ 1 0) into 1 1.903 * [backup-simplify]: Simplify (* 0 1) into 0 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.904 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.904 * [backup-simplify]: Simplify (log 1) into 0 1.904 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.904 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.904 * [taylor]: Taking taylor expansion of N in N 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.904 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.904 * [taylor]: Taking taylor expansion of N in N 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (/ 1 1) into 1 1.905 * [taylor]: Taking taylor expansion of 1.0 in N 1.905 * [backup-simplify]: Simplify 1.0 into 1.0 1.905 * [backup-simplify]: Simplify (+ 1 0) into 1 1.905 * [backup-simplify]: Simplify (* 0 1) into 0 1.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.906 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.906 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.906 * [backup-simplify]: Simplify (log 1) into 0 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.907 * [backup-simplify]: Simplify (+ 0 0) into 0 1.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.912 * [backup-simplify]: Simplify 1.0 into 1.0 1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (+ 0 0) into 0 1.914 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.919 * [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 1.920 * [backup-simplify]: Simplify -0.5 into -0.5 1.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (+ 0 0) into 0 1.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.936 * [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 1.936 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.936 * [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)))) 1.937 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.937 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.937 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.937 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.937 * [taylor]: Taking taylor expansion of -1 in N 1.937 * [backup-simplify]: Simplify -1 into -1 1.937 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.937 * [taylor]: Taking taylor expansion of N in N 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.937 * [taylor]: Taking taylor expansion of 1.0 in N 1.937 * [backup-simplify]: Simplify 1.0 into 1.0 1.937 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.937 * [taylor]: Taking taylor expansion of N in N 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify (/ 1 1) into 1 1.938 * [backup-simplify]: Simplify (- 1) into -1 1.938 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.939 * [backup-simplify]: Simplify (* 0 -1) into 0 1.939 * [backup-simplify]: Simplify (* -1 0) into 0 1.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify (- 0) into 0 1.941 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.941 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.942 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.942 * [backup-simplify]: Simplify (log 1) into 0 1.943 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.943 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.943 * [taylor]: Taking taylor expansion of -1 in N 1.943 * [backup-simplify]: Simplify -1 into -1 1.943 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.943 * [taylor]: Taking taylor expansion of N in N 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.943 * [taylor]: Taking taylor expansion of 1.0 in N 1.943 * [backup-simplify]: Simplify 1.0 into 1.0 1.943 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.943 * [taylor]: Taking taylor expansion of N in N 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (/ 1 1) into 1 1.944 * [backup-simplify]: Simplify (- 1) into -1 1.944 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.945 * [backup-simplify]: Simplify (* 0 -1) into 0 1.945 * [backup-simplify]: Simplify (* -1 0) into 0 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (- 0) into 0 1.946 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.946 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.947 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.947 * [backup-simplify]: Simplify (log 1) into 0 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (- 0) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.951 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 1.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 1.958 * [backup-simplify]: Simplify -1.0 into -1.0 1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (- 0) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 1.960 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 1.968 * [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 1.968 * [backup-simplify]: Simplify -0.5 into -0.5 1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify (- 0) into 0 1.969 * [backup-simplify]: Simplify (+ 0 0) into 0 1.970 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 1.971 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 1.982 * [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 1.983 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 1.983 * [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)))) 1.983 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.983 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 1.984 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.984 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.984 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.984 * [taylor]: Taking taylor expansion of N in N 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.984 * [taylor]: Taking taylor expansion of 1.0 in N 1.984 * [backup-simplify]: Simplify 1.0 into 1.0 1.984 * [taylor]: Taking taylor expansion of N in N 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.984 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.985 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.985 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.985 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.985 * [taylor]: Taking taylor expansion of N in N 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [taylor]: Taking taylor expansion of 1.0 in N 1.985 * [backup-simplify]: Simplify 1.0 into 1.0 1.985 * [taylor]: Taking taylor expansion of N in N 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.986 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.986 * [backup-simplify]: Simplify 1.0 into 1.0 1.987 * [backup-simplify]: Simplify (+ 1 0) into 1 1.988 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.988 * [backup-simplify]: Simplify 1 into 1 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify (+ 0 0) into 0 1.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.995 * [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 1.995 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [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 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 1.997 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 1.997 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.998 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.998 * [taylor]: Taking taylor expansion of N in N 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.998 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.998 * [taylor]: Taking taylor expansion of N in N 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (/ 1 1) into 1 1.998 * [taylor]: Taking taylor expansion of 1.0 in N 1.998 * [backup-simplify]: Simplify 1.0 into 1.0 1.998 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.998 * [taylor]: Taking taylor expansion of N in N 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.998 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.998 * [taylor]: Taking taylor expansion of N in N 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (/ 1 1) into 1 1.999 * [taylor]: Taking taylor expansion of 1.0 in N 1.999 * [backup-simplify]: Simplify 1.0 into 1.0 1.999 * [backup-simplify]: Simplify (+ 1 0) into 1 2.000 * [backup-simplify]: Simplify (* 0 1) into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.002 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.002 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (+ 0 0) into 0 2.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.006 * [backup-simplify]: Simplify 1.0 into 1.0 2.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.007 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (+ 0 0) into 0 2.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.014 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (+ 0 0) into 0 2.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.026 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.026 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.026 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.026 * [taylor]: Taking taylor expansion of -1 in N 2.026 * [backup-simplify]: Simplify -1 into -1 2.026 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.026 * [taylor]: Taking taylor expansion of N in N 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.026 * [taylor]: Taking taylor expansion of 1.0 in N 2.026 * [backup-simplify]: Simplify 1.0 into 1.0 2.026 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.026 * [taylor]: Taking taylor expansion of N in N 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (/ 1 1) into 1 2.027 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.027 * [taylor]: Taking taylor expansion of -1 in N 2.027 * [backup-simplify]: Simplify -1 into -1 2.027 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.027 * [taylor]: Taking taylor expansion of N in N 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.027 * [taylor]: Taking taylor expansion of 1.0 in N 2.027 * [backup-simplify]: Simplify 1.0 into 1.0 2.027 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.027 * [taylor]: Taking taylor expansion of N in N 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (/ 1 1) into 1 2.028 * [backup-simplify]: Simplify (- 1) into -1 2.028 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.029 * [backup-simplify]: Simplify (* 0 -1) into 0 2.029 * [backup-simplify]: Simplify (* -1 0) into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (- 0) into 0 2.031 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.032 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.032 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.032 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.034 * [backup-simplify]: Simplify (- 0) into 0 2.034 * [backup-simplify]: Simplify (+ 0 0) into 0 2.037 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.039 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.040 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (- 0) into 0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.045 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.047 * [backup-simplify]: Simplify (- 0) into 0 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.050 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.052 * [backup-simplify]: Simplify (- 0) into 0 2.052 * [backup-simplify]: Simplify (+ 0 0) into 0 2.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.055 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (- 0) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.061 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (- 0) into 0 2.063 * [backup-simplify]: Simplify (+ 0 0) into 0 2.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.067 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (- 0) into 0 2.069 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.073 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.074 * * * [progress]: simplifying candidates 2.076 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (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))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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) 2.079 * * [simplify]: Extracting # 0 : cost 0 2.079 * * [simplify]: Extracting # 1 : cost 0 2.079 * * [simplify]: Extracting # 2 : cost 0 2.079 * * [simplify]: Extracting # 3 : cost 0 2.080 * * [simplify]: Extracting # 4 : cost 0 2.080 * * [simplify]: Extracting # 5 : cost 0 2.080 * * [simplify]: Extracting # 6 : cost 0 2.081 * * [simplify]: Extracting # 7 : cost 0 2.081 * * [simplify]: Extracting # 8 : cost 0 2.081 * * [simplify]: Extracting # 9 : cost 0 2.082 * * [simplify]: iteration 0 : 112 enodes (cost 749 ) 2.140 * * [simplify]: Extracting # 0 : cost 0 2.140 * * [simplify]: Extracting # 1 : cost 0 2.141 * * [simplify]: Extracting # 2 : cost 0 2.142 * * [simplify]: Extracting # 3 : cost 0 2.142 * * [simplify]: iteration 1 : 253 enodes (cost 708 ) 2.297 * * [simplify]: Extracting # 0 : cost 0 2.300 * * [simplify]: Extracting # 1 : cost 0 2.302 * * [simplify]: Extracting # 2 : cost 0 2.305 * * [simplify]: Extracting # 3 : cost 0 2.308 * * [simplify]: Extracting # 4 : cost 0 2.315 * * [simplify]: iteration 2 : 1053 enodes (cost 660 ) 2.849 * * [simplify]: Extracting # 0 : cost 0 2.860 * * [simplify]: Extracting # 1 : cost 0 2.875 * * [simplify]: Extracting # 2 : cost 0 2.884 * * [simplify]: Extracting # 3 : cost 0 2.891 * * [simplify]: Extracting # 4 : cost 0 2.906 * * [simplify]: iteration done: 5000 enodes (cost 647 ) 2.907 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 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))) (/ (+ 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)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 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) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (fma N N (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (- (fma 1.0 N (log 1.0)) (fma 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) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 2.908 * * * [progress]: adding candidates to table 3.067 * * [progress]: iteration 3 / 4 3.067 * * * [progress]: picking best candidate 3.075 * * * * [pick]: Picked # 3.075 * * * [progress]: localizing error 3.091 * * * [progress]: generating rewritten candidates 3.091 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 3.103 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 3.133 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 3.156 * * * [progress]: generating series expansions 3.156 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 3.156 * [backup-simplify]: Simplify (log (sqrt (+ N 1.0))) into (log (sqrt (+ N 1.0))) 3.156 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 3.156 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 3.156 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 3.157 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.157 * [taylor]: Taking taylor expansion of N in N 3.157 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [taylor]: Taking taylor expansion of 1.0 in N 3.157 * [backup-simplify]: Simplify 1.0 into 1.0 3.158 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.158 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.158 * [backup-simplify]: Simplify (+ 1 0) into 1 3.160 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.161 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 3.161 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 3.161 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 3.161 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.161 * [taylor]: Taking taylor expansion of N in N 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 1 into 1 3.161 * [taylor]: Taking taylor expansion of 1.0 in N 3.161 * [backup-simplify]: Simplify 1.0 into 1.0 3.162 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.162 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.163 * [backup-simplify]: Simplify (+ 1 0) into 1 3.164 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.165 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 3.166 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 3.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 3.178 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 3.179 * [backup-simplify]: Simplify (+ 0 0) into 0 3.184 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.199 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 3.200 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 3.203 * [backup-simplify]: Simplify (+ (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow N 2)) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) N) (log (sqrt 1.0)))) into (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) 3.203 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 N) 1.0))) into (log (sqrt (+ (/ 1 N) 1.0))) 3.203 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 3.203 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 3.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 3.203 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.203 * [taylor]: Taking taylor expansion of N in N 3.203 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify 1 into 1 3.203 * [backup-simplify]: Simplify (/ 1 1) into 1 3.203 * [taylor]: Taking taylor expansion of 1.0 in N 3.203 * [backup-simplify]: Simplify 1.0 into 1.0 3.203 * [backup-simplify]: Simplify (+ 1 0) into 1 3.204 * [backup-simplify]: Simplify (sqrt 0) into 0 3.205 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.205 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.205 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 3.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 3.205 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.205 * [taylor]: Taking taylor expansion of N in N 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 1 into 1 3.205 * [backup-simplify]: Simplify (/ 1 1) into 1 3.205 * [taylor]: Taking taylor expansion of 1.0 in N 3.205 * [backup-simplify]: Simplify 1.0 into 1.0 3.206 * [backup-simplify]: Simplify (+ 1 0) into 1 3.206 * [backup-simplify]: Simplify (sqrt 0) into 0 3.207 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.207 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.207 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.208 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.210 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.214 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify (+ 0 0) into 0 3.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.239 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 3.239 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.240 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 3.240 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (- N)) 1.0))) into (log (sqrt (- 1.0 (/ 1 N)))) 3.240 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 3.240 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 3.240 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 3.240 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.240 * [taylor]: Taking taylor expansion of 1.0 in N 3.240 * [backup-simplify]: Simplify 1.0 into 1.0 3.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.240 * [taylor]: Taking taylor expansion of N in N 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [backup-simplify]: Simplify (/ 1 1) into 1 3.241 * [backup-simplify]: Simplify (- 1) into -1 3.241 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.242 * [backup-simplify]: Simplify (sqrt 0) into 0 3.243 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.243 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.243 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 3.244 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 3.244 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.244 * [taylor]: Taking taylor expansion of 1.0 in N 3.244 * [backup-simplify]: Simplify 1.0 into 1.0 3.244 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.244 * [taylor]: Taking taylor expansion of N in N 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 1 into 1 3.244 * [backup-simplify]: Simplify (/ 1 1) into 1 3.244 * [backup-simplify]: Simplify (- 1) into -1 3.245 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.245 * [backup-simplify]: Simplify (sqrt 0) into 0 3.246 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.247 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.247 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.248 * [backup-simplify]: Simplify (- 0) into 0 3.249 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.252 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.258 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.259 * [backup-simplify]: Simplify (- 0) into 0 3.260 * [backup-simplify]: Simplify (+ 0 0) into 0 3.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.277 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 3.277 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.278 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) 3.278 * * * * [progress]: [ 2 / 3 ] generating series at (2) 3.278 * [backup-simplify]: Simplify (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) into (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) 3.278 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in (N) around 0 3.278 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 3.278 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 3.278 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 3.278 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.278 * [taylor]: Taking taylor expansion of N in N 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 1 into 1 3.279 * [taylor]: Taking taylor expansion of 1.0 in N 3.279 * [backup-simplify]: Simplify 1.0 into 1.0 3.279 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.279 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.280 * [backup-simplify]: Simplify (+ 1 0) into 1 3.281 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.282 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 3.282 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 3.282 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 3.282 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.282 * [taylor]: Taking taylor expansion of N in N 3.282 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify 1 into 1 3.283 * [backup-simplify]: Simplify (/ 1 1) into 1 3.283 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 3.283 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.283 * [taylor]: Taking taylor expansion of N in N 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify 1 into 1 3.283 * [taylor]: Taking taylor expansion of 1.0 in N 3.283 * [backup-simplify]: Simplify 1.0 into 1.0 3.283 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.284 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.284 * [backup-simplify]: Simplify (+ 1 0) into 1 3.286 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.286 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 3.287 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 3.287 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 3.287 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 3.287 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 3.287 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.287 * [taylor]: Taking taylor expansion of N in N 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.287 * [taylor]: Taking taylor expansion of 1.0 in N 3.287 * [backup-simplify]: Simplify 1.0 into 1.0 3.288 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.288 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.289 * [backup-simplify]: Simplify (+ 1 0) into 1 3.290 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.291 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 3.291 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 3.291 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 3.291 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.291 * [taylor]: Taking taylor expansion of N in N 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 1 into 1 3.292 * [backup-simplify]: Simplify (/ 1 1) into 1 3.292 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 3.292 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.292 * [taylor]: Taking taylor expansion of N in N 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [taylor]: Taking taylor expansion of 1.0 in N 3.292 * [backup-simplify]: Simplify 1.0 into 1.0 3.292 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.293 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.293 * [backup-simplify]: Simplify (+ 1 0) into 1 3.295 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.295 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 3.296 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 3.297 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (sqrt 1.0))) into (- (log (sqrt 1.0)) (log N)) 3.299 * [backup-simplify]: Simplify (+ (log (sqrt 1.0)) (- (log (sqrt 1.0)) (log N))) into (- (* 2 (log (sqrt 1.0))) (log N)) 3.300 * [backup-simplify]: Simplify (- (* 2 (log (sqrt 1.0))) (log N)) into (- (* 2 (log (sqrt 1.0))) (log N)) 3.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.312 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 3.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 3.321 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sqrt 1.0) 2)) (/ 1/2 (pow (sqrt 1.0) 2))) into (/ 1 (pow (sqrt 1.0) 2)) 3.322 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 1.0) 2)) into (/ 1 (pow (sqrt 1.0) 2)) 3.322 * [backup-simplify]: Simplify (+ 0 0) into 0 3.325 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.340 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 3.340 * [backup-simplify]: Simplify (+ 0 0) into 0 3.346 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.350 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.368 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (sqrt 1.0)))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 3.370 * [backup-simplify]: Simplify (+ (/ -1/4 (pow (sqrt 1.0) 4)) (/ -1/4 (pow (sqrt 1.0) 4))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 3.372 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) 3.377 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow (sqrt 1.0) 4)))) (pow N 2)) (+ (* (/ 1 (pow (sqrt 1.0) 2)) N) (- (* 2 (log (sqrt 1.0))) (log N)))) into (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) 3.377 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)))) into (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) 3.377 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 3.377 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 3.377 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 3.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 3.377 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.377 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.377 * [taylor]: Taking taylor expansion of N in N 3.377 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify 1 into 1 3.377 * [backup-simplify]: Simplify (/ 1 1) into 1 3.377 * [taylor]: Taking taylor expansion of 1.0 in N 3.377 * [backup-simplify]: Simplify 1.0 into 1.0 3.378 * [backup-simplify]: Simplify (+ 1 0) into 1 3.378 * [backup-simplify]: Simplify (sqrt 0) into 0 3.379 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.379 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.379 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 3.379 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 3.379 * [taylor]: Taking taylor expansion of N in N 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify 1 into 1 3.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 3.379 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.379 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.379 * [taylor]: Taking taylor expansion of N in N 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify 1 into 1 3.379 * [backup-simplify]: Simplify (/ 1 1) into 1 3.379 * [taylor]: Taking taylor expansion of 1.0 in N 3.380 * [backup-simplify]: Simplify 1.0 into 1.0 3.380 * [backup-simplify]: Simplify (+ 1 0) into 1 3.380 * [backup-simplify]: Simplify (sqrt 0) into 0 3.381 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.381 * [backup-simplify]: Simplify (* 0 0) into 0 3.381 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 3.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.382 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.384 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.386 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 3.387 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 3.387 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 3.387 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 3.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 3.387 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.387 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.387 * [taylor]: Taking taylor expansion of N in N 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 1 into 1 3.388 * [backup-simplify]: Simplify (/ 1 1) into 1 3.388 * [taylor]: Taking taylor expansion of 1.0 in N 3.388 * [backup-simplify]: Simplify 1.0 into 1.0 3.388 * [backup-simplify]: Simplify (+ 1 0) into 1 3.388 * [backup-simplify]: Simplify (sqrt 0) into 0 3.390 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.391 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.391 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 3.391 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 3.391 * [taylor]: Taking taylor expansion of N in N 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 3.391 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.391 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.391 * [taylor]: Taking taylor expansion of N in N 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.391 * [backup-simplify]: Simplify (/ 1 1) into 1 3.391 * [taylor]: Taking taylor expansion of 1.0 in N 3.391 * [backup-simplify]: Simplify 1.0 into 1.0 3.392 * [backup-simplify]: Simplify (+ 1 0) into 1 3.392 * [backup-simplify]: Simplify (sqrt 0) into 0 3.394 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.394 * [backup-simplify]: Simplify (* 0 0) into 0 3.395 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 3.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.400 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.402 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 3.403 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 3.405 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 3.406 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 3.407 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 3.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.409 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.412 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.420 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (+ 0 0) into 0 3.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.429 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 3.438 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.438 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.440 * [backup-simplify]: Simplify (+ 0 0) into 0 3.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 3.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.462 * [backup-simplify]: Simplify (+ 0 0) into 0 3.467 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.471 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 3.488 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 3.488 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.488 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.491 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))))) into (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 3.492 * [backup-simplify]: Simplify (+ (log (sqrt (+ (/ 1 (- N)) 1.0))) (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))))) into (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) 3.492 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 3.492 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 3.492 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 3.492 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 3.492 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.492 * [taylor]: Taking taylor expansion of 1.0 in N 3.492 * [backup-simplify]: Simplify 1.0 into 1.0 3.492 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.492 * [taylor]: Taking taylor expansion of N in N 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 1 into 1 3.492 * [backup-simplify]: Simplify (/ 1 1) into 1 3.493 * [backup-simplify]: Simplify (- 1) into -1 3.493 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.493 * [backup-simplify]: Simplify (sqrt 0) into 0 3.495 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.495 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.495 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 3.495 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 3.495 * [taylor]: Taking taylor expansion of -1 in N 3.495 * [backup-simplify]: Simplify -1 into -1 3.495 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 3.496 * [taylor]: Taking taylor expansion of N in N 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 1 into 1 3.496 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 3.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.496 * [taylor]: Taking taylor expansion of 1.0 in N 3.496 * [backup-simplify]: Simplify 1.0 into 1.0 3.496 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.496 * [taylor]: Taking taylor expansion of N in N 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 1 into 1 3.496 * [backup-simplify]: Simplify (/ 1 1) into 1 3.496 * [backup-simplify]: Simplify (- 1) into -1 3.497 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.497 * [backup-simplify]: Simplify (sqrt 0) into 0 3.498 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.499 * [backup-simplify]: Simplify (* 0 0) into 0 3.499 * [backup-simplify]: Simplify (* -1 0) into 0 3.500 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 3.501 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 3.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.502 * [backup-simplify]: Simplify (- 0) into 0 3.502 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.505 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.508 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 3.510 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 3.511 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 3.511 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 3.511 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 3.511 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 3.511 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.511 * [taylor]: Taking taylor expansion of 1.0 in N 3.511 * [backup-simplify]: Simplify 1.0 into 1.0 3.511 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.511 * [taylor]: Taking taylor expansion of N in N 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 1 into 1 3.511 * [backup-simplify]: Simplify (/ 1 1) into 1 3.512 * [backup-simplify]: Simplify (- 1) into -1 3.512 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.512 * [backup-simplify]: Simplify (sqrt 0) into 0 3.514 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.514 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.514 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 3.514 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 3.514 * [taylor]: Taking taylor expansion of -1 in N 3.514 * [backup-simplify]: Simplify -1 into -1 3.514 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 3.514 * [taylor]: Taking taylor expansion of N in N 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 1 into 1 3.514 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 3.514 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.514 * [taylor]: Taking taylor expansion of 1.0 in N 3.514 * [backup-simplify]: Simplify 1.0 into 1.0 3.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.514 * [taylor]: Taking taylor expansion of N in N 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [backup-simplify]: Simplify (/ 1 1) into 1 3.515 * [backup-simplify]: Simplify (- 1) into -1 3.516 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.516 * [backup-simplify]: Simplify (sqrt 0) into 0 3.517 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.518 * [backup-simplify]: Simplify (* 0 0) into 0 3.518 * [backup-simplify]: Simplify (* -1 0) into 0 3.519 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 3.519 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 3.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.520 * [backup-simplify]: Simplify (- 0) into 0 3.521 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.524 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.526 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 3.528 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 3.529 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 3.530 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 3.532 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 3.533 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 3.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.534 * [backup-simplify]: Simplify (- 0) into 0 3.534 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.537 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.543 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.545 * [backup-simplify]: Simplify (- 0) into 0 3.545 * [backup-simplify]: Simplify (+ 0 0) into 0 3.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.553 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.556 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 3.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 3.563 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.563 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.564 * [backup-simplify]: Simplify (- 0) into 0 3.564 * [backup-simplify]: Simplify (+ 0 0) into 0 3.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.574 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 3.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.575 * [backup-simplify]: Simplify (- 0) into 0 3.575 * [backup-simplify]: Simplify (+ 0 0) into 0 3.578 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.580 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 3.582 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 3.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 3.597 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.597 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.600 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 3.601 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 3.601 * [backup-simplify]: Simplify (/ (sqrt (+ N 1.0)) N) into (* (/ 1 N) (sqrt (+ N 1.0))) 3.601 * [approximate]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in (N) around 0 3.601 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 3.601 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.601 * [taylor]: Taking taylor expansion of N in N 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify (/ 1 1) into 1 3.601 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 3.601 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.601 * [taylor]: Taking taylor expansion of N in N 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [taylor]: Taking taylor expansion of 1.0 in N 3.602 * [backup-simplify]: Simplify 1.0 into 1.0 3.602 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.602 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.602 * [backup-simplify]: Simplify (+ 1 0) into 1 3.603 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.603 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 3.603 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.603 * [taylor]: Taking taylor expansion of N in N 3.603 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify 1 into 1 3.604 * [backup-simplify]: Simplify (/ 1 1) into 1 3.604 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 3.604 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.604 * [taylor]: Taking taylor expansion of N in N 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 1 into 1 3.604 * [taylor]: Taking taylor expansion of 1.0 in N 3.604 * [backup-simplify]: Simplify 1.0 into 1.0 3.604 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.604 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.604 * [backup-simplify]: Simplify (+ 1 0) into 1 3.605 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.606 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 3.606 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.608 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0))) into (* 1/2 (/ 1 (sqrt 1.0))) 3.609 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.610 * [backup-simplify]: Simplify (+ 0 0) into 0 3.613 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.616 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 (/ 1/2 (sqrt 1.0))) (* 0 (sqrt 1.0)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.618 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.622 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) N) (+ (/ 1/2 (sqrt 1.0)) (* (sqrt 1.0) (/ 1 N)))) into (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) 3.622 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1.0)) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1.0))) 3.622 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 3.622 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 3.622 * [taylor]: Taking taylor expansion of N in N 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify 1 into 1 3.622 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 3.622 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.622 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.622 * [taylor]: Taking taylor expansion of N in N 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify 1 into 1 3.622 * [backup-simplify]: Simplify (/ 1 1) into 1 3.622 * [taylor]: Taking taylor expansion of 1.0 in N 3.623 * [backup-simplify]: Simplify 1.0 into 1.0 3.623 * [backup-simplify]: Simplify (+ 1 0) into 1 3.623 * [backup-simplify]: Simplify (sqrt 0) into 0 3.625 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.625 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 3.625 * [taylor]: Taking taylor expansion of N in N 3.625 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify 1 into 1 3.625 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 3.625 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.625 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.625 * [taylor]: Taking taylor expansion of N in N 3.625 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify 1 into 1 3.625 * [backup-simplify]: Simplify (/ 1 1) into 1 3.625 * [taylor]: Taking taylor expansion of 1.0 in N 3.625 * [backup-simplify]: Simplify 1.0 into 1.0 3.626 * [backup-simplify]: Simplify (+ 1 0) into 1 3.626 * [backup-simplify]: Simplify (sqrt 0) into 0 3.627 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.628 * [backup-simplify]: Simplify (* 0 0) into 0 3.628 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.630 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.633 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.635 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 3.636 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.637 * [backup-simplify]: Simplify (+ 0 0) into 0 3.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.644 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.645 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.646 * [backup-simplify]: Simplify (+ 0 0) into 0 3.651 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.656 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 3.656 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.658 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 3.658 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1.0)) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) 3.658 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in (N) around 0 3.658 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 3.658 * [taylor]: Taking taylor expansion of -1 in N 3.658 * [backup-simplify]: Simplify -1 into -1 3.658 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 3.658 * [taylor]: Taking taylor expansion of N in N 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 1 into 1 3.658 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 3.658 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.659 * [taylor]: Taking taylor expansion of 1.0 in N 3.659 * [backup-simplify]: Simplify 1.0 into 1.0 3.659 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.659 * [taylor]: Taking taylor expansion of N in N 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [backup-simplify]: Simplify (/ 1 1) into 1 3.659 * [backup-simplify]: Simplify (- 1) into -1 3.660 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.660 * [backup-simplify]: Simplify (sqrt 0) into 0 3.662 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.662 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 3.662 * [taylor]: Taking taylor expansion of -1 in N 3.662 * [backup-simplify]: Simplify -1 into -1 3.662 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 3.662 * [taylor]: Taking taylor expansion of N in N 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify 1 into 1 3.662 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 3.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.662 * [taylor]: Taking taylor expansion of 1.0 in N 3.662 * [backup-simplify]: Simplify 1.0 into 1.0 3.662 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.662 * [taylor]: Taking taylor expansion of N in N 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify 1 into 1 3.663 * [backup-simplify]: Simplify (/ 1 1) into 1 3.663 * [backup-simplify]: Simplify (- 1) into -1 3.663 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.664 * [backup-simplify]: Simplify (sqrt 0) into 0 3.665 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.665 * [backup-simplify]: Simplify (* 0 0) into 0 3.666 * [backup-simplify]: Simplify (* -1 0) into 0 3.666 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 3.667 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 3.667 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.668 * [backup-simplify]: Simplify (- 0) into 0 3.669 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.672 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.675 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 3.677 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 3.677 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.679 * [backup-simplify]: Simplify (- 0) into 0 3.679 * [backup-simplify]: Simplify (+ 0 0) into 0 3.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.686 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.689 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 3.690 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.691 * [backup-simplify]: Simplify (- 0) into 0 3.691 * [backup-simplify]: Simplify (+ 0 0) into 0 3.696 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.700 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 3.704 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 3.704 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.706 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 3.706 * * * [progress]: simplifying candidates 3.714 * [simplify]: Simplifying: (expm1 (log (sqrt (+ N 1.0)))) (log1p (log (sqrt (+ N 1.0)))) (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log 1) (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (exp (log (sqrt (+ N 1.0)))) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (* (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (expm1 (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (log1p (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (exp (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (* (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N))) (* (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (- (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)))) (- (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 1))) (+ (log (sqrt (+ N 1.0))) (log 1)) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (expm1 (/ (sqrt (+ N 1.0)) N)) (log1p (/ (sqrt (+ N 1.0)) N)) (- (log (sqrt (+ N 1.0))) (log N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (/ (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* N N) N)) (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (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 (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1) (/ (cbrt (sqrt (+ N 1.0))) N) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (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)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1) (/ (sqrt (cbrt (+ N 1.0))) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (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))) 1) (/ (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)) (/ (sqrt 1) 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)) (/ (sqrt 1) 1) (/ (sqrt (+ N 1.0)) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (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))) 1) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 1) (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* N (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* N (sqrt (- N 1.0))) (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 3.720 * * [simplify]: Extracting # 0 : cost 0 3.720 * * [simplify]: Extracting # 1 : cost 0 3.721 * * [simplify]: Extracting # 2 : cost 0 3.721 * * [simplify]: Extracting # 3 : cost 0 3.722 * * [simplify]: Extracting # 4 : cost 0 3.722 * * [simplify]: Extracting # 5 : cost 0 3.723 * * [simplify]: Extracting # 6 : cost 0 3.723 * * [simplify]: Extracting # 7 : cost 0 3.724 * * [simplify]: Extracting # 8 : cost 0 3.725 * * [simplify]: iteration 0 : 222 enodes (cost 1816 ) 3.824 * * [simplify]: Extracting # 0 : cost 0 3.825 * * [simplify]: Extracting # 1 : cost 0 3.825 * * [simplify]: Extracting # 2 : cost 0 3.826 * * [simplify]: Extracting # 3 : cost 0 3.827 * * [simplify]: Extracting # 4 : cost 0 3.827 * * [simplify]: iteration 1 : 484 enodes (cost 1663 ) 4.033 * * [simplify]: Extracting # 0 : cost 0 4.035 * * [simplify]: Extracting # 1 : cost 0 4.038 * * [simplify]: Extracting # 2 : cost 0 4.040 * * [simplify]: Extracting # 3 : cost 0 4.042 * * [simplify]: Extracting # 4 : cost 0 4.044 * * [simplify]: iteration 2 : 1790 enodes (cost 1530 ) 4.706 * * [simplify]: Extracting # 0 : cost 0 4.722 * * [simplify]: Extracting # 1 : cost 0 4.733 * * [simplify]: Extracting # 2 : cost 0 4.744 * * [simplify]: Extracting # 3 : cost 0 4.755 * * [simplify]: Extracting # 4 : cost 0 4.766 * * [simplify]: iteration done: 5001 enodes (cost 1506 ) 4.767 * [simplify]: Simplified to: (expm1 (log (sqrt (+ N 1.0)))) (log1p (log (sqrt (+ N 1.0)))) (* 2 (log (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (fabs (cbrt (+ N 1.0)))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) 0 (log (sqrt (+ N 1.0))) 0 (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) 0 (log (sqrt (+ N 1.0))) (log (hypot (pow N 3/2) (pow 1.0 3/2))) (log (sqrt (fma N N (* 1.0 (- 1.0 N))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (sqrt (+ N 1.0)) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (pow (log (sqrt (+ N 1.0))) 3) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (expm1 (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (log1p (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (/ (+ 1.0 N) N) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (/ (+ 1.0 N) N) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (pow (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) 3) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (fma (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (* (log (/ (sqrt (+ N 1.0)) N)) (- (log (/ (sqrt (+ N 1.0)) N)) (log (sqrt (+ N 1.0)))))) (* (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ 0 (log N))) (+ 0 (log N)) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (fma 2 (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (- (* 2 (log (cbrt (sqrt (+ N 1.0))))) (- (log (* (cbrt N) (cbrt N))) (log (sqrt (+ N 1.0))))) (- (* 2 (log (cbrt (sqrt (+ N 1.0))))) (- (log (sqrt N)) (log (sqrt (+ N 1.0))))) (fma 2 (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (+ (log (/ (fabs (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (+ N 1.0))) (log (/ (fabs (cbrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (fabs (cbrt (+ N 1.0))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0))))) (- (log (sqrt (+ N 1.0))) (log (* (cbrt N) (cbrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (log (* (cbrt N) (cbrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (log (sqrt (+ N 1.0))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0))))) (- (log (sqrt (+ N 1.0))) (log (* (cbrt N) (cbrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (/ (sqrt (+ N 1.0)) N)) (log (sqrt (sqrt (+ N 1.0))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (/ (sqrt (+ N 1.0)) N)) (log (sqrt (sqrt (+ N 1.0))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (log (+ N 1.0)) (- (log (sqrt (fma N N (* 1.0 (- 1.0 N))))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (expm1 (/ (sqrt (+ N 1.0)) N)) (log1p (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (pow (/ (sqrt (+ N 1.0)) N) 3) (* (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) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (/ (cbrt (sqrt (+ N 1.0))) N) (/ (fabs (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)) (/ (fabs (cbrt (+ N 1.0))) (sqrt N)) (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)) (fabs (cbrt (+ N 1.0))) (/ (sqrt (cbrt (+ N 1.0))) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (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) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ N 1.0)) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (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) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* (sqrt (fma N N (* 1.0 (- 1.0 N)))) N) (* N (sqrt (- N 1.0))) (fma -1/4 (/ (* N N) (* 1.0 1.0)) (fma 1/2 (/ N 1.0) (log (sqrt 1.0)))) (+ (- (log +nan.0) (/ +nan.0 N)) (/ +nan.0 (* N N))) (+ (- (log +nan.0) (/ +nan.0 N)) (/ +nan.0 (* N N))) (- (fma (log (sqrt 1.0)) 2 (/ N 1.0)) (fma (/ (* N N) (* 1.0 1.0)) 1/2 (log N))) (+ (- (/ +nan.0 N) (/ +nan.0 (* N N))) (- (+ (log (- +nan.0)) (log +nan.0)) (log N))) (+ (- (/ +nan.0 N) (/ +nan.0 (* N N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N))))) (fma (/ N (pow (sqrt 1.0) 3)) -1/8 (+ (/ 1/2 (sqrt 1.0)) (/ (sqrt 1.0) N))) (- (+ (/ +nan.0 (pow N 3)) (- (/ +nan.0 N) (/ +nan.0 (* N N))))) (- (+ (/ +nan.0 (pow N 3)) (- (/ +nan.0 N) (/ +nan.0 (* N N))))) 4.769 * * * [progress]: adding candidates to table 5.178 * * [progress]: iteration 4 / 4 5.178 * * * [progress]: picking best candidate 5.191 * * * * [pick]: Picked # 5.191 * * * [progress]: localizing error 5.233 * * * [progress]: generating rewritten candidates 5.233 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 3 2 2) 5.242 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 3 1) 5.251 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 5.260 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 5.357 * * * [progress]: generating series expansions 5.357 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 3 2 2) 5.357 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 5.357 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 5.357 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.357 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.358 * [taylor]: Taking taylor expansion of N in N 5.358 * [backup-simplify]: Simplify 0 into 0 5.358 * [backup-simplify]: Simplify 1 into 1 5.358 * [taylor]: Taking taylor expansion of 1.0 in N 5.358 * [backup-simplify]: Simplify 1.0 into 1.0 5.358 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.358 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.358 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.358 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.358 * [taylor]: Taking taylor expansion of N in N 5.358 * [backup-simplify]: Simplify 0 into 0 5.358 * [backup-simplify]: Simplify 1 into 1 5.358 * [taylor]: Taking taylor expansion of 1.0 in N 5.359 * [backup-simplify]: Simplify 1.0 into 1.0 5.359 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.359 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.359 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.360 * [backup-simplify]: Simplify (+ 1 0) into 1 5.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.363 * [backup-simplify]: Simplify 1.0 into 1.0 5.363 * [backup-simplify]: Simplify (+ 0 0) into 0 5.369 * [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)) 5.370 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 5.371 * [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)))) 5.371 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 5.371 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 5.371 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.371 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.371 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.371 * [taylor]: Taking taylor expansion of N in N 5.371 * [backup-simplify]: Simplify 0 into 0 5.371 * [backup-simplify]: Simplify 1 into 1 5.371 * [backup-simplify]: Simplify (/ 1 1) into 1 5.371 * [taylor]: Taking taylor expansion of 1.0 in N 5.371 * [backup-simplify]: Simplify 1.0 into 1.0 5.372 * [backup-simplify]: Simplify (+ 1 0) into 1 5.372 * [backup-simplify]: Simplify (log 1) into 0 5.372 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.372 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.372 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.372 * [taylor]: Taking taylor expansion of N in N 5.372 * [backup-simplify]: Simplify 0 into 0 5.372 * [backup-simplify]: Simplify 1 into 1 5.372 * [backup-simplify]: Simplify (/ 1 1) into 1 5.372 * [taylor]: Taking taylor expansion of 1.0 in N 5.372 * [backup-simplify]: Simplify 1.0 into 1.0 5.373 * [backup-simplify]: Simplify (+ 1 0) into 1 5.373 * [backup-simplify]: Simplify (log 1) into 0 5.373 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.373 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.374 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.378 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.378 * [backup-simplify]: Simplify 1.0 into 1.0 5.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.379 * [backup-simplify]: Simplify (+ 0 0) into 0 5.385 * [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 5.385 * [backup-simplify]: Simplify -0.5 into -0.5 5.390 * [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)))) 5.390 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 5.390 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 5.390 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.390 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.390 * [taylor]: Taking taylor expansion of 1.0 in N 5.390 * [backup-simplify]: Simplify 1.0 into 1.0 5.390 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.390 * [taylor]: Taking taylor expansion of N in N 5.390 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify 1 into 1 5.391 * [backup-simplify]: Simplify (/ 1 1) into 1 5.391 * [backup-simplify]: Simplify (- 1) into -1 5.391 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.391 * [backup-simplify]: Simplify (log -1) into (log -1) 5.391 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.391 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.392 * [taylor]: Taking taylor expansion of 1.0 in N 5.392 * [backup-simplify]: Simplify 1.0 into 1.0 5.392 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.392 * [taylor]: Taking taylor expansion of N in N 5.392 * [backup-simplify]: Simplify 0 into 0 5.392 * [backup-simplify]: Simplify 1 into 1 5.392 * [backup-simplify]: Simplify (/ 1 1) into 1 5.392 * [backup-simplify]: Simplify (- 1) into -1 5.392 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.393 * [backup-simplify]: Simplify (log -1) into (log -1) 5.393 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.394 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.395 * [backup-simplify]: Simplify (- 0) into 0 5.395 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.402 * [backup-simplify]: Simplify -1.0 into -1.0 5.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.404 * [backup-simplify]: Simplify (- 0) into 0 5.404 * [backup-simplify]: Simplify (+ 0 0) into 0 5.416 * [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 5.416 * [backup-simplify]: Simplify -0.5 into -0.5 5.417 * [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)))) 5.417 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 3 1) 5.417 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 5.417 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 5.417 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.417 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.417 * [taylor]: Taking taylor expansion of N in N 5.417 * [backup-simplify]: Simplify 0 into 0 5.417 * [backup-simplify]: Simplify 1 into 1 5.417 * [taylor]: Taking taylor expansion of 1.0 in N 5.417 * [backup-simplify]: Simplify 1.0 into 1.0 5.418 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.418 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.418 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.418 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.418 * [taylor]: Taking taylor expansion of N in N 5.418 * [backup-simplify]: Simplify 0 into 0 5.418 * [backup-simplify]: Simplify 1 into 1 5.418 * [taylor]: Taking taylor expansion of 1.0 in N 5.418 * [backup-simplify]: Simplify 1.0 into 1.0 5.419 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.419 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.420 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.420 * [backup-simplify]: Simplify (+ 1 0) into 1 5.426 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.426 * [backup-simplify]: Simplify 1.0 into 1.0 5.426 * [backup-simplify]: Simplify (+ 0 0) into 0 5.437 * [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)) 5.438 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 5.440 * [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)))) 5.440 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 5.440 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 5.440 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.440 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.440 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.440 * [taylor]: Taking taylor expansion of N in N 5.440 * [backup-simplify]: Simplify 0 into 0 5.440 * [backup-simplify]: Simplify 1 into 1 5.440 * [backup-simplify]: Simplify (/ 1 1) into 1 5.440 * [taylor]: Taking taylor expansion of 1.0 in N 5.440 * [backup-simplify]: Simplify 1.0 into 1.0 5.441 * [backup-simplify]: Simplify (+ 1 0) into 1 5.441 * [backup-simplify]: Simplify (log 1) into 0 5.441 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.441 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.441 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.441 * [taylor]: Taking taylor expansion of N in N 5.441 * [backup-simplify]: Simplify 0 into 0 5.441 * [backup-simplify]: Simplify 1 into 1 5.442 * [backup-simplify]: Simplify (/ 1 1) into 1 5.442 * [taylor]: Taking taylor expansion of 1.0 in N 5.442 * [backup-simplify]: Simplify 1.0 into 1.0 5.442 * [backup-simplify]: Simplify (+ 1 0) into 1 5.443 * [backup-simplify]: Simplify (log 1) into 0 5.443 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.443 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.445 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.451 * [backup-simplify]: Simplify 1.0 into 1.0 5.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.452 * [backup-simplify]: Simplify (+ 0 0) into 0 5.464 * [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 5.464 * [backup-simplify]: Simplify -0.5 into -0.5 5.464 * [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)))) 5.464 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 5.464 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 5.464 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.464 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.464 * [taylor]: Taking taylor expansion of 1.0 in N 5.464 * [backup-simplify]: Simplify 1.0 into 1.0 5.464 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.464 * [taylor]: Taking taylor expansion of N in N 5.464 * [backup-simplify]: Simplify 0 into 0 5.464 * [backup-simplify]: Simplify 1 into 1 5.465 * [backup-simplify]: Simplify (/ 1 1) into 1 5.465 * [backup-simplify]: Simplify (- 1) into -1 5.466 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.466 * [backup-simplify]: Simplify (log -1) into (log -1) 5.466 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.466 * [taylor]: Taking taylor expansion of 1.0 in N 5.466 * [backup-simplify]: Simplify 1.0 into 1.0 5.466 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.466 * [taylor]: Taking taylor expansion of N in N 5.466 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify 1 into 1 5.467 * [backup-simplify]: Simplify (/ 1 1) into 1 5.467 * [backup-simplify]: Simplify (- 1) into -1 5.467 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.468 * [backup-simplify]: Simplify (log -1) into (log -1) 5.469 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.469 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.470 * [backup-simplify]: Simplify (- 0) into 0 5.470 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.477 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.477 * [backup-simplify]: Simplify -1.0 into -1.0 5.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.478 * [backup-simplify]: Simplify (- 0) into 0 5.479 * [backup-simplify]: Simplify (+ 0 0) into 0 5.490 * [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 5.490 * [backup-simplify]: Simplify -0.5 into -0.5 5.491 * [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)))) 5.491 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 5.492 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 5.492 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 5.492 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.492 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.492 * [taylor]: Taking taylor expansion of N in N 5.492 * [backup-simplify]: Simplify 0 into 0 5.492 * [backup-simplify]: Simplify 1 into 1 5.492 * [taylor]: Taking taylor expansion of 1.0 in N 5.492 * [backup-simplify]: Simplify 1.0 into 1.0 5.492 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.493 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.493 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.493 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.493 * [taylor]: Taking taylor expansion of N in N 5.493 * [backup-simplify]: Simplify 0 into 0 5.493 * [backup-simplify]: Simplify 1 into 1 5.493 * [taylor]: Taking taylor expansion of 1.0 in N 5.493 * [backup-simplify]: Simplify 1.0 into 1.0 5.493 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.494 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.494 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.495 * [backup-simplify]: Simplify (+ 1 0) into 1 5.500 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.500 * [backup-simplify]: Simplify 1.0 into 1.0 5.500 * [backup-simplify]: Simplify (+ 0 0) into 0 5.511 * [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)) 5.512 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 5.514 * [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)))) 5.514 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 5.514 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 5.514 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.514 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.514 * [taylor]: Taking taylor expansion of N in N 5.514 * [backup-simplify]: Simplify 0 into 0 5.514 * [backup-simplify]: Simplify 1 into 1 5.515 * [backup-simplify]: Simplify (/ 1 1) into 1 5.515 * [taylor]: Taking taylor expansion of 1.0 in N 5.515 * [backup-simplify]: Simplify 1.0 into 1.0 5.515 * [backup-simplify]: Simplify (+ 1 0) into 1 5.515 * [backup-simplify]: Simplify (log 1) into 0 5.515 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.516 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.516 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.516 * [taylor]: Taking taylor expansion of N in N 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 1 into 1 5.516 * [backup-simplify]: Simplify (/ 1 1) into 1 5.516 * [taylor]: Taking taylor expansion of 1.0 in N 5.516 * [backup-simplify]: Simplify 1.0 into 1.0 5.517 * [backup-simplify]: Simplify (+ 1 0) into 1 5.517 * [backup-simplify]: Simplify (log 1) into 0 5.518 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.518 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.519 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.525 * [backup-simplify]: Simplify 1.0 into 1.0 5.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.527 * [backup-simplify]: Simplify (+ 0 0) into 0 5.541 * [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 5.541 * [backup-simplify]: Simplify -0.5 into -0.5 5.542 * [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)))) 5.542 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 5.542 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 5.542 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.542 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.542 * [taylor]: Taking taylor expansion of 1.0 in N 5.542 * [backup-simplify]: Simplify 1.0 into 1.0 5.542 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.542 * [taylor]: Taking taylor expansion of N in N 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 1 into 1 5.542 * [backup-simplify]: Simplify (/ 1 1) into 1 5.542 * [backup-simplify]: Simplify (- 1) into -1 5.543 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.543 * [backup-simplify]: Simplify (log -1) into (log -1) 5.543 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.543 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.543 * [taylor]: Taking taylor expansion of 1.0 in N 5.543 * [backup-simplify]: Simplify 1.0 into 1.0 5.543 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.543 * [taylor]: Taking taylor expansion of N in N 5.543 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify 1 into 1 5.543 * [backup-simplify]: Simplify (/ 1 1) into 1 5.544 * [backup-simplify]: Simplify (- 1) into -1 5.544 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.544 * [backup-simplify]: Simplify (log -1) into (log -1) 5.545 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.545 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.546 * [backup-simplify]: Simplify (- 0) into 0 5.546 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.550 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.550 * [backup-simplify]: Simplify -1.0 into -1.0 5.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.551 * [backup-simplify]: Simplify (- 0) into 0 5.551 * [backup-simplify]: Simplify (+ 0 0) into 0 5.557 * [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 5.557 * [backup-simplify]: Simplify -0.5 into -0.5 5.558 * [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)))) 5.558 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 5.558 * [backup-simplify]: Simplify (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) into (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) 5.558 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in (N) around 0 5.558 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 5.558 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 5.558 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.558 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.558 * [taylor]: Taking taylor expansion of N in N 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 1 into 1 5.558 * [taylor]: Taking taylor expansion of 1.0 in N 5.558 * [backup-simplify]: Simplify 1.0 into 1.0 5.559 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.559 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.559 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 5.559 * [taylor]: Taking taylor expansion of (log N) in N 5.559 * [taylor]: Taking taylor expansion of N in N 5.559 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify 1 into 1 5.559 * [backup-simplify]: Simplify (log 1) into 0 5.559 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.560 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 5.560 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 5.560 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.560 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.560 * [taylor]: Taking taylor expansion of N in N 5.560 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify 1 into 1 5.560 * [taylor]: Taking taylor expansion of 1.0 in N 5.560 * [backup-simplify]: Simplify 1.0 into 1.0 5.560 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.560 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.560 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 5.560 * [taylor]: Taking taylor expansion of (log N) in N 5.560 * [taylor]: Taking taylor expansion of N in N 5.560 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify 1 into 1 5.561 * [backup-simplify]: Simplify (log 1) into 0 5.561 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.562 * [backup-simplify]: Simplify (* (log 1.0) (log 1.0)) into (pow (log 1.0) 2) 5.563 * [backup-simplify]: Simplify (* (log 1.0) (pow (log 1.0) 2)) into (pow (log 1.0) 3) 5.563 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.563 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.564 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.564 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 5.564 * [backup-simplify]: Simplify (* (log N) (pow (log N) 2)) into (pow (log N) 3) 5.564 * [backup-simplify]: Simplify (- (pow (log N) 3)) into (- (pow (log N) 3)) 5.565 * [backup-simplify]: Simplify (+ (pow (log 1.0) 3) (- (pow (log N) 3))) into (- (pow (log 1.0) 3) (pow (log N) 3)) 5.565 * [backup-simplify]: Simplify (- (pow (log 1.0) 3) (pow (log N) 3)) into (- (pow (log 1.0) 3) (pow (log N) 3)) 5.566 * [backup-simplify]: Simplify (+ 1 0) into 1 5.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.570 * [backup-simplify]: Simplify (+ (* (log 1.0) 1.0) (* 1.0 (log 1.0))) into (* 2.0 (log 1.0)) 5.573 * [backup-simplify]: Simplify (+ (* (log 1.0) (* 2.0 (log 1.0))) (* 1.0 (pow (log 1.0) 2))) into (* 3.0 (pow (log 1.0) 2)) 5.573 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.573 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.574 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.574 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 5.575 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (pow (log N) 2))) into 0 5.575 * [backup-simplify]: Simplify (- 0) into 0 5.576 * [backup-simplify]: Simplify (+ (* 3.0 (pow (log 1.0) 2)) 0) into (* 3.0 (pow (log 1.0) 2)) 5.578 * [backup-simplify]: Simplify (* 3.0 (pow (log 1.0) 2)) into (* 3.0 (pow (log 1.0) 2)) 5.578 * [backup-simplify]: Simplify (+ 0 0) into 0 5.588 * [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)) 5.596 * [backup-simplify]: Simplify (+ (* (log 1.0) (/ -1/2 (pow 1.0 2))) (+ (* 1.0 1.0) (* (/ -1/2 (pow 1.0 2)) (log 1.0)))) into (- 1.0 (/ (log 1.0) (pow 1.0 2))) 5.608 * [backup-simplify]: Simplify (+ (* (log 1.0) (- 1.0 (/ (log 1.0) (pow 1.0 2)))) (+ (* 1.0 (* 2.0 (log 1.0))) (* (/ -1/2 (pow 1.0 2)) (pow (log 1.0) 2)))) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 5.608 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.609 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.612 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.612 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 5.613 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 5.613 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (pow (log N) 2)))) into 0 5.614 * [backup-simplify]: Simplify (- 0) into 0 5.621 * [backup-simplify]: Simplify (+ (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 0) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 5.627 * [backup-simplify]: Simplify (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) into (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) 5.637 * [backup-simplify]: Simplify (+ (* (- (* 3.0 (log 1.0)) (* 3/2 (/ (pow (log 1.0) 2) (pow 1.0 2)))) (pow N 2)) (+ (* (* 3.0 (pow (log 1.0) 2)) N) (- (pow (log 1.0) 3) (pow (log N) 3)))) into (- (+ (* 3.0 (* (pow N 2) (log 1.0))) (+ (* 3.0 (* N (pow (log 1.0) 2))) (pow (log 1.0) 3))) (+ (* 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2))) (pow (log N) 3))) 5.637 * [backup-simplify]: Simplify (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) into (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) 5.637 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 5.637 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 5.637 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 5.637 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.637 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.637 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.637 * [taylor]: Taking taylor expansion of N in N 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify 1 into 1 5.638 * [backup-simplify]: Simplify (/ 1 1) into 1 5.638 * [taylor]: Taking taylor expansion of 1.0 in N 5.638 * [backup-simplify]: Simplify 1.0 into 1.0 5.638 * [backup-simplify]: Simplify (+ 1 0) into 1 5.639 * [backup-simplify]: Simplify (log 1) into 0 5.639 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.639 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 5.639 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.639 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.639 * [taylor]: Taking taylor expansion of N in N 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 1 into 1 5.640 * [backup-simplify]: Simplify (/ 1 1) into 1 5.640 * [backup-simplify]: Simplify (log 1) into 0 5.641 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.641 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 5.641 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 5.641 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.641 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.641 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.641 * [taylor]: Taking taylor expansion of N in N 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify 1 into 1 5.641 * [backup-simplify]: Simplify (/ 1 1) into 1 5.641 * [taylor]: Taking taylor expansion of 1.0 in N 5.641 * [backup-simplify]: Simplify 1.0 into 1.0 5.642 * [backup-simplify]: Simplify (+ 1 0) into 1 5.642 * [backup-simplify]: Simplify (log 1) into 0 5.643 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.643 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 5.643 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.643 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.643 * [taylor]: Taking taylor expansion of N in N 5.643 * [backup-simplify]: Simplify 0 into 0 5.643 * [backup-simplify]: Simplify 1 into 1 5.643 * [backup-simplify]: Simplify (/ 1 1) into 1 5.643 * [backup-simplify]: Simplify (log 1) into 0 5.644 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.644 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.645 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.645 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.645 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 5.646 * [backup-simplify]: Simplify (* (- (log N)) (pow (log N) 2)) into (* -1 (pow (log N) 3)) 5.646 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.646 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.647 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.647 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 5.647 * [backup-simplify]: Simplify (* (- (log N)) (pow (log N) 2)) into (* -1 (pow (log N) 3)) 5.647 * [backup-simplify]: Simplify (- (* -1 (pow (log N) 3))) into (pow (log N) 3) 5.648 * [backup-simplify]: Simplify (+ (* -1 (pow (log N) 3)) (pow (log N) 3)) into 0 5.648 * [backup-simplify]: Simplify 0 into 0 5.648 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.649 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.650 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.656 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.656 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.656 * [backup-simplify]: Simplify (+ (* (- (log N)) 1.0) (* 1.0 (- (log N)))) into (- (* 2.0 (log N))) 5.657 * [backup-simplify]: Simplify (+ (* (- (log N)) (- (* 2.0 (log N)))) (* 1.0 (pow (log N) 2))) into (* 3.0 (pow (log N) 2)) 5.657 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.658 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.664 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.664 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 5.664 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (pow (log N) 2))) into 0 5.665 * [backup-simplify]: Simplify (- 0) into 0 5.665 * [backup-simplify]: Simplify (+ (* 3.0 (pow (log N) 2)) 0) into (* 3.0 (pow (log N) 2)) 5.665 * [backup-simplify]: Simplify (* 3.0 (pow (log N) 2)) into (* 3.0 (pow (log N) 2)) 5.666 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.666 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.667 * [backup-simplify]: Simplify (+ 0 0) into 0 5.678 * [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 5.679 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.679 * [backup-simplify]: Simplify (+ (* (- (log N)) -0.5) (+ (* 1.0 1.0) (* -0.5 (- (log N))))) into (+ 1.0 (* 1.0 (log N))) 5.680 * [backup-simplify]: Simplify (+ (* (- (log N)) (+ 1.0 (* 1.0 (log N)))) (+ (* 1.0 (- (* 2.0 (log N)))) (* -0.5 (pow (log N) 2)))) into (- (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N)))) 5.681 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.681 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.685 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.686 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.686 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 5.687 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (pow (log N) 2)))) into 0 5.687 * [backup-simplify]: Simplify (- 0) into 0 5.688 * [backup-simplify]: Simplify (+ (- (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N)))) 0) into (- (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N)))) 5.688 * [backup-simplify]: Simplify (- (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N)))) into (- (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N)))) 5.689 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.689 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.690 * [backup-simplify]: Simplify (+ 0 0) into 0 5.709 * [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 5.709 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.710 * [backup-simplify]: Simplify (+ (* (- (log N)) 0.3333333333333333) (+ (* 1.0 -0.5) (+ (* -0.5 1.0) (* 0.3333333333333333 (- (log N)))))) into (- (+ 1.0 (* 0.6666666666666666 (log N)))) 5.711 * [backup-simplify]: Simplify (+ (* (- (log N)) (- (+ 1.0 (* 0.6666666666666666 (log N))))) (+ (* 1.0 (+ 1.0 (* 1.0 (log N)))) (+ (* -0.5 (- (* 2.0 (log N)))) (* 0.3333333333333333 (pow (log N) 2))))) into (+ 1.0 (+ (* 1.0 (pow (log N) 2)) (* 3.0 (log N)))) 5.712 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.712 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.718 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.718 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.719 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 5.720 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (log N) 2))))) into 0 5.721 * [backup-simplify]: Simplify (- 0) into 0 5.721 * [backup-simplify]: Simplify (+ (+ 1.0 (+ (* 1.0 (pow (log N) 2)) (* 3.0 (log N)))) 0) into (+ 1.0 (+ (* 1.0 (pow (log N) 2)) (* 3.0 (log N)))) 5.722 * [backup-simplify]: Simplify (+ 1.0 (+ (* 1.0 (pow (log N) 2)) (* 3.0 (log N)))) into (+ (* 3.0 (log N)) (+ (* 1.0 (pow (log N) 2)) 1.0)) 5.724 * [backup-simplify]: Simplify (+ (* (+ (* 3.0 (log (/ 1 N))) (+ (* 1.0 (pow (log (/ 1 N)) 2)) 1.0)) (pow (/ 1 N) 3)) (+ (* (- (+ (* 1.5 (pow (log (/ 1 N)) 2)) (* 3.0 (log (/ 1 N))))) (pow (/ 1 N) 2)) (* (* 3.0 (pow (log (/ 1 N)) 2)) (/ 1 N)))) into (- (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1.0 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (* 3.0 (/ (log (/ 1 N)) (pow N 3)))))) (+ (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ 1 N)) (pow N 2))))) 5.725 * [backup-simplify]: Simplify (- (pow (log (+ (/ 1 (- N)) 1.0)) 3) (pow (log (/ 1 (- N))) 3)) into (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) 5.725 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in (N) around 0 5.725 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 5.725 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 5.725 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.725 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.725 * [taylor]: Taking taylor expansion of 1.0 in N 5.725 * [backup-simplify]: Simplify 1.0 into 1.0 5.725 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.725 * [taylor]: Taking taylor expansion of N in N 5.725 * [backup-simplify]: Simplify 0 into 0 5.725 * [backup-simplify]: Simplify 1 into 1 5.726 * [backup-simplify]: Simplify (/ 1 1) into 1 5.726 * [backup-simplify]: Simplify (- 1) into -1 5.726 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.727 * [backup-simplify]: Simplify (log -1) into (log -1) 5.728 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.728 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 5.728 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 5.728 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.728 * [taylor]: Taking taylor expansion of -1 in N 5.728 * [backup-simplify]: Simplify -1 into -1 5.728 * [taylor]: Taking taylor expansion of N in N 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.729 * [backup-simplify]: Simplify (/ -1 1) into -1 5.729 * [backup-simplify]: Simplify (log -1) into (log -1) 5.729 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.729 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 5.729 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 5.729 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.729 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.729 * [taylor]: Taking taylor expansion of 1.0 in N 5.729 * [backup-simplify]: Simplify 1.0 into 1.0 5.729 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.730 * [taylor]: Taking taylor expansion of N in N 5.730 * [backup-simplify]: Simplify 0 into 0 5.730 * [backup-simplify]: Simplify 1 into 1 5.730 * [backup-simplify]: Simplify (/ 1 1) into 1 5.730 * [backup-simplify]: Simplify (- 1) into -1 5.730 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.731 * [backup-simplify]: Simplify (log -1) into (log -1) 5.731 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.731 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 5.731 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 5.731 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.731 * [taylor]: Taking taylor expansion of -1 in N 5.731 * [backup-simplify]: Simplify -1 into -1 5.731 * [taylor]: Taking taylor expansion of N in N 5.731 * [backup-simplify]: Simplify 0 into 0 5.731 * [backup-simplify]: Simplify 1 into 1 5.731 * [backup-simplify]: Simplify (/ -1 1) into -1 5.732 * [backup-simplify]: Simplify (log -1) into (log -1) 5.732 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.733 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.733 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.734 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.734 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 5.735 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (pow (- (log -1) (log N)) 2)) into (pow (- (log -1) (log N)) 3) 5.735 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.736 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.736 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.737 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 5.738 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (pow (- (log -1) (log N)) 2)) into (pow (- (log -1) (log N)) 3) 5.738 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 3)) into (- (+ (* 3 (* (pow (log -1) 2) (log N))) (pow (log N) 3)) (+ (* 3 (* (log -1) (pow (log N) 2))) (pow (log -1) 3))) 5.740 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 3) (- (+ (* 3 (* (pow (log -1) 2) (log N))) (pow (log N) 3)) (+ (* 3 (* (log -1) (pow (log N) 2))) (pow (log -1) 3)))) into 0 5.740 * [backup-simplify]: Simplify 0 into 0 5.741 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.741 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.742 * [backup-simplify]: Simplify (- 0) into 0 5.742 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.747 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.747 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.748 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1.0) (* -1.0 (- (log -1) (log N)))) into (- (* 2.0 (log N)) (* 2.0 (log -1))) 5.749 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -1.0 (pow (- (log -1) (log N)) 2))) into (- (* 6.0 (* (log -1) (log N))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 5.750 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.750 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.751 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.752 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.752 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 5.753 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (pow (- (log -1) (log N)) 2))) into 0 5.753 * [backup-simplify]: Simplify (- 0) into 0 5.755 * [backup-simplify]: Simplify (+ (- (* 6.0 (* (log -1) (log N))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 0) into (- (* 6.0 (* (log -1) (log N))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 5.756 * [backup-simplify]: Simplify (- (* 6.0 (* (log -1) (log N))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) into (- (* 6.0 (* (log -1) (log N))) (+ (* 3.0 (pow (log N) 2)) (* 3.0 (pow (log -1) 2)))) 5.757 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.757 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.758 * [backup-simplify]: Simplify (- 0) into 0 5.758 * [backup-simplify]: Simplify (+ 0 0) into 0 5.768 * [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 5.769 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.770 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.5) (+ (* -1.0 -1.0) (* -0.5 (- (log -1) (log N))))) into (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1))) 5.774 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1)))) (+ (* -1.0 (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -0.5 (pow (- (log -1) (log N)) 2)))) into (- (+ (* 3.0 (log -1)) (* 3.0 (* (log -1) (log N)))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N))))) 5.775 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.775 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.779 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.780 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.782 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 5.783 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (pow (- (log -1) (log N)) 2)))) into 0 5.783 * [backup-simplify]: Simplify (- 0) into 0 5.787 * [backup-simplify]: Simplify (+ (- (+ (* 3.0 (log -1)) (* 3.0 (* (log -1) (log N)))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N))))) 0) into (- (+ (* 3.0 (log -1)) (* 3.0 (* (log -1) (log N)))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N))))) 5.795 * [backup-simplify]: Simplify (- (+ (* 3.0 (log -1)) (* 3.0 (* (log -1) (log N)))) (+ (* 1.5 (pow (log -1) 2)) (+ (* 1.5 (pow (log N) 2)) (* 3.0 (log N))))) into (- (+ (* 3.0 (log -1)) (* 3.0 (* (log -1) (log N)))) (+ (* 1.5 (pow (log N) 2)) (+ (* 3.0 (log N)) (* 1.5 (pow (log -1) 2))))) 5.796 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.797 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.798 * [backup-simplify]: Simplify (- 0) into 0 5.798 * [backup-simplify]: Simplify (+ 0 0) into 0 5.818 * [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 5.818 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.820 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -0.3333333333333333) (+ (* -1.0 -0.5) (+ (* -0.5 -1.0) (* -0.3333333333333333 (- (log -1) (log N)))))) into (- (+ 1.0 (* 0.6666666666666666 (log N))) (* 0.6666666666666666 (log -1))) 5.825 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) (- (+ 1.0 (* 0.6666666666666666 (log N))) (* 0.6666666666666666 (log -1)))) (+ (* -1.0 (- (+ 1.0 (* 1.0 (log N))) (* 1.0 (log -1)))) (+ (* -0.5 (- (* 2.0 (log N)) (* 2.0 (log -1)))) (* -0.3333333333333333 (pow (- (log -1) (log N)) 2))))) into (- (+ (* 3.0 (log -1)) (* 2.0 (* (log -1) (log N)))) (+ 1.0 (+ (* 1.0 (pow (log N) 2)) (+ (* 1.0 (pow (log -1) 2)) (* 3.0 (log N)))))) 5.825 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.826 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.833 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 5.834 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.836 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 5.837 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (- (log -1) (log N)) 2))))) into 0 5.838 * [backup-simplify]: Simplify (- 0) into 0 5.841 * [backup-simplify]: Simplify (+ (- (+ (* 3.0 (log -1)) (* 2.0 (* (log -1) (log N)))) (+ 1.0 (+ (* 1.0 (pow (log N) 2)) (+ (* 1.0 (pow (log -1) 2)) (* 3.0 (log N)))))) 0) into (- (+ (* 3.0 (log -1)) (* 2.0 (* (log -1) (log N)))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 1.0 (pow (log N) 2)) (+ (* 3.0 (log N)) 1.0)))) 5.845 * [backup-simplify]: Simplify (- (+ (* 3.0 (log -1)) (* 2.0 (* (log -1) (log N)))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 1.0 (pow (log N) 2)) (+ (* 3.0 (log N)) 1.0)))) into (- (+ (* 3.0 (log -1)) (* 2.0 (* (log -1) (log N)))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 1.0 (pow (log N) 2)) (+ (* 3.0 (log N)) 1.0)))) 5.856 * [backup-simplify]: Simplify (+ (* (- (+ (* 3.0 (log -1)) (* 2.0 (* (log -1) (log (/ 1 (- N)))))) (+ (* 1.0 (pow (log -1) 2)) (+ (* 1.0 (pow (log (/ 1 (- N))) 2)) (+ (* 3.0 (log (/ 1 (- N)))) 1.0)))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 3.0 (log -1)) (* 3.0 (* (log -1) (log (/ 1 (- N)))))) (+ (* 1.5 (pow (log (/ 1 (- N))) 2)) (+ (* 3.0 (log (/ 1 (- N)))) (* 1.5 (pow (log -1) 2))))) (pow (/ 1 (- N)) 2)) (* (- (* 6.0 (* (log -1) (log (/ 1 (- N))))) (+ (* 3.0 (pow (log (/ 1 (- N))) 2)) (* 3.0 (pow (log -1) 2)))) (/ 1 (- N))))) into (- (+ (* 3.0 (/ (pow (log -1) 2) N)) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 3))) (+ (* 1.0 (/ (pow (log -1) 2) (pow N 3))) (+ (* 3.0 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (* (log -1) (log (/ -1 N))) (pow N 2))) (+ (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))) (* 3.0 (/ (log -1) (pow N 2)))))))))) (+ (* 2.0 (/ (* (log -1) (log (/ -1 N))) (pow N 3))) (+ (* 1.5 (/ (pow (log -1) 2) (pow N 2))) (+ (* 3.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ -1 N)) (pow N 2))))))))) 5.857 * * * [progress]: simplifying candidates 5.869 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (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))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (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))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (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))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (log N) (* (log N) (log N))))) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (* (log N) (log N)) (log N)))) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) 3) 1))) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) (fma (pow 1 3) (pow (log (+ N 1.0)) 3) (- (* (pow (log N) (/ 3 2)) (pow (log N) (/ 3 2))))) (fma (- (pow (log N) (/ 3 2))) (pow (log N) (/ 3 2)) (* (pow (log N) (/ 3 2)) (pow (log N) (/ 3 2)))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (pow (log N) 3) (pow 1 3)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (log N) (* (log N) (log N))))) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ N 1.0))) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) (fma (pow (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) 3) (pow (cbrt (log (+ 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* * [simplify]: Extracting # 7 : cost 0 5.901 * * [simplify]: Extracting # 8 : cost 0 5.902 * * [simplify]: Extracting # 9 : cost 0 5.903 * * [simplify]: Extracting # 10 : cost 0 5.904 * * [simplify]: Extracting # 11 : cost 0 5.905 * * [simplify]: Extracting # 12 : cost 0 5.907 * * [simplify]: iteration 0 : 323 enodes (cost 11205 ) 6.011 * * [simplify]: Extracting # 0 : cost 0 6.016 * * [simplify]: Extracting # 1 : cost 0 6.017 * * [simplify]: Extracting # 2 : cost 0 6.018 * * [simplify]: Extracting # 3 : cost 0 6.019 * * [simplify]: Extracting # 4 : cost 0 6.020 * * [simplify]: Extracting # 5 : cost 0 6.021 * * [simplify]: Extracting # 6 : cost 0 6.022 * * [simplify]: iteration 1 : 827 enodes (cost 6777 ) 6.565 * * [simplify]: Extracting # 0 : cost 0 6.573 * * [simplify]: Extracting # 1 : cost 0 6.578 * * [simplify]: Extracting # 2 : cost 0 6.584 * * [simplify]: Extracting # 3 : cost 0 6.593 * * [simplify]: Extracting # 4 : cost 0 6.602 * * [simplify]: iteration 2 : 3817 enodes (cost 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(- (fma (* (pow N 2) (log 1.0)) 3.0 (* (pow (log 1.0) 2) (+ (* 3.0 N) (log 1.0)))) (fma 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2)) (pow (log N) 3))) (+ (- (fma 3.0 (/ (pow (- (log N)) 2) N) (fma 1.0 (/ (pow (- (log N)) 2) (pow N 3)) (* (/ (- (log N)) (pow N 3)) 3.0))) (fma 1.5 (/ (pow (- (log N)) 2) (* N N)) (* 3.0 (/ (- (log N)) (* N N))))) (/ 1.0 (pow N 3))) (+ (* 3.0 (+ (/ (pow (log -1) 2) N) (/ (log (/ -1 N)) (pow N 3)))) (- (fma (/ (pow (log -1) 2) (pow N 3)) 1.0 (fma 3.0 (/ (pow (log (/ -1 N)) 2) N) (+ (fma 3.0 (/ (* (log -1) (log (/ -1 N))) (pow N 2)) (fma 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3)) (* 3.0 (/ (log -1) (pow N 2))))) (/ 1.0 (pow N 3))))) (fma 2.0 (/ (* (log -1) (log (/ -1 N))) (pow N 3)) (fma 1.5 (/ (pow (log -1) 2) (pow N 2)) (fma 3.0 (/ (log -1) (pow N 3)) (fma 6.0 (/ (* (log -1) (log (/ -1 N))) N) (fma 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2)) (* 3.0 (/ (log (/ -1 N)) (pow N 2)))))))))) 8.869 * * * [progress]: adding candidates to table 9.476 * [progress]: [Phase 3 of 3] Extracting. 9.476 * * [regime]: Finding splitpoints for: (# # # # # #) 9.486 * * * [regime-changes]: Trying 1 branch expressions: (N) 9.487 * * * * [regimes]: Trying to branch on N from (# # # # # #) 9.546 * * * [regime]: Found split indices: #