18.909 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.088 * * * [progress]: [2/2] Setting up program. 0.092 * [progress]: [Phase 2 of 3] Improving. 0.093 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.093 * * [simplify]: Extracting # 0 : cost 0 0.093 * * [simplify]: Extracting # 1 : cost 0 0.093 * * [simplify]: Extracting # 2 : cost 0 0.093 * * [simplify]: Extracting # 3 : cost 0 0.093 * * [simplify]: Extracting # 4 : cost 0 0.093 * * [simplify]: Extracting # 5 : cost 0 0.093 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.095 * * [simplify]: Extracting # 0 : cost 0 0.095 * * [simplify]: Extracting # 1 : cost 0 0.095 * * [simplify]: Extracting # 2 : cost 0 0.095 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.098 * * [simplify]: Extracting # 0 : cost 0 0.098 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.112 * * [simplify]: Extracting # 0 : cost 0 0.112 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.112 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.112 * * [progress]: iteration 1 / 4 0.112 * * * [progress]: picking best candidate 0.114 * * * * [pick]: Picked # 0.114 * * * [progress]: localizing error 0.122 * * * [progress]: generating rewritten candidates 0.122 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.137 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.144 * * * [progress]: generating series expansions 0.144 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.144 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.144 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.144 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.144 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.144 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of 1.0 in N 0.144 * [backup-simplify]: Simplify 1.0 into 1.0 0.145 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.145 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.145 * [taylor]: Taking taylor expansion of (log N) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.145 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.145 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.145 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [taylor]: Taking taylor expansion of 1.0 in N 0.146 * [backup-simplify]: Simplify 1.0 into 1.0 0.146 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.146 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.146 * [taylor]: Taking taylor expansion of (log N) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (log 1) into 0 0.147 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.147 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.147 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.147 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [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)) 0.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.162 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.164 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.166 * [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))) 0.166 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.166 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.166 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.167 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [taylor]: Taking taylor expansion of 1.0 in N 0.167 * [backup-simplify]: Simplify 1.0 into 1.0 0.167 * [backup-simplify]: Simplify (+ 1 0) into 1 0.167 * [backup-simplify]: Simplify (log 1) into 0 0.167 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [backup-simplify]: Simplify (log 1) into 0 0.168 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.168 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.168 * [backup-simplify]: Simplify 1.0 into 1.0 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.169 * [backup-simplify]: Simplify (log 1) into 0 0.169 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify (log 1) into 0 0.170 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.170 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.170 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.170 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.177 * [backup-simplify]: Simplify (- 0) into 0 0.177 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.177 * [backup-simplify]: Simplify 1.0 into 1.0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [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 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.187 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [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 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [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 0.208 * [backup-simplify]: Simplify (- 0) into 0 0.209 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.209 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.209 * [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)))) 0.209 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.209 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.209 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.209 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.209 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.209 * [taylor]: Taking taylor expansion of 1.0 in N 0.209 * [backup-simplify]: Simplify 1.0 into 1.0 0.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [backup-simplify]: Simplify (- 1) into -1 0.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.211 * [backup-simplify]: Simplify (log -1) into (log -1) 0.211 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.211 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.211 * [taylor]: Taking taylor expansion of -1 in N 0.211 * [backup-simplify]: Simplify -1 into -1 0.211 * [taylor]: Taking taylor expansion of N in N 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ -1 1) into -1 0.211 * [backup-simplify]: Simplify (log -1) into (log -1) 0.211 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.211 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.211 * [taylor]: Taking taylor expansion of 1.0 in N 0.211 * [backup-simplify]: Simplify 1.0 into 1.0 0.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.211 * [taylor]: Taking taylor expansion of N in N 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [backup-simplify]: Simplify (- 1) into -1 0.212 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.212 * [backup-simplify]: Simplify (log -1) into (log -1) 0.212 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.212 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.212 * [taylor]: Taking taylor expansion of -1 in N 0.212 * [backup-simplify]: Simplify -1 into -1 0.212 * [taylor]: Taking taylor expansion of N in N 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (/ -1 1) into -1 0.213 * [backup-simplify]: Simplify (log -1) into (log -1) 0.213 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.214 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.214 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.215 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.222 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [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 0.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.232 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [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 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.264 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.266 * [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)))) 0.266 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.266 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.266 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.266 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.266 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.266 * [taylor]: Taking taylor expansion of N in N 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of 1.0 in N 0.266 * [backup-simplify]: Simplify 1.0 into 1.0 0.267 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.267 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.267 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.267 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of 1.0 in N 0.267 * [backup-simplify]: Simplify 1.0 into 1.0 0.268 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.268 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.269 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.269 * [backup-simplify]: Simplify (+ 1 0) into 1 0.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.275 * [backup-simplify]: Simplify 1.0 into 1.0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [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)) 0.288 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.290 * [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)))) 0.290 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.290 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.290 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.290 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.290 * [taylor]: Taking taylor expansion of N in N 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [taylor]: Taking taylor expansion of 1.0 in N 0.290 * [backup-simplify]: Simplify 1.0 into 1.0 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.291 * [backup-simplify]: Simplify (log 1) into 0 0.291 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.291 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.291 * [taylor]: Taking taylor expansion of N in N 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of 1.0 in N 0.291 * [backup-simplify]: Simplify 1.0 into 1.0 0.292 * [backup-simplify]: Simplify (+ 1 0) into 1 0.292 * [backup-simplify]: Simplify (log 1) into 0 0.292 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.292 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.298 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.298 * [backup-simplify]: Simplify 1.0 into 1.0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [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 0.305 * [backup-simplify]: Simplify -0.5 into -0.5 0.306 * [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)))) 0.306 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.306 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.306 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.306 * [taylor]: Taking taylor expansion of 1.0 in N 0.306 * [backup-simplify]: Simplify 1.0 into 1.0 0.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.306 * [taylor]: Taking taylor expansion of N in N 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [backup-simplify]: Simplify (- 1) into -1 0.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.307 * [backup-simplify]: Simplify (log -1) into (log -1) 0.307 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.307 * [taylor]: Taking taylor expansion of 1.0 in N 0.307 * [backup-simplify]: Simplify 1.0 into 1.0 0.307 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.307 * [taylor]: Taking taylor expansion of N in N 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [backup-simplify]: Simplify (- 1) into -1 0.308 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.308 * [backup-simplify]: Simplify (log -1) into (log -1) 0.309 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.309 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.320 * [backup-simplify]: Simplify -1.0 into -1.0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [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 0.331 * [backup-simplify]: Simplify -0.5 into -0.5 0.332 * [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)))) 0.332 * * * [progress]: simplifying candidates 0.334 * [simplify]: Simplifying: (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)) (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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 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)))) 0.337 * * [simplify]: Extracting # 0 : cost 0 0.338 * * [simplify]: Extracting # 1 : cost 0 0.338 * * [simplify]: Extracting # 2 : cost 0 0.338 * * [simplify]: Extracting # 3 : cost 0 0.338 * * [simplify]: Extracting # 4 : cost 0 0.339 * * [simplify]: Extracting # 5 : cost 0 0.339 * * [simplify]: Extracting # 6 : cost 0 0.339 * * [simplify]: Extracting # 7 : cost 0 0.340 * * [simplify]: Extracting # 8 : cost 0 0.340 * * [simplify]: Extracting # 9 : cost 0 0.340 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.369 * * [simplify]: Extracting # 0 : cost 0 0.370 * * [simplify]: Extracting # 1 : cost 0 0.371 * * [simplify]: Extracting # 2 : cost 0 0.371 * * [simplify]: Extracting # 3 : cost 0 0.372 * * [simplify]: Extracting # 4 : cost 0 0.372 * * [simplify]: iteration 1 : 277 enodes (cost 855 ) 0.512 * * [simplify]: Extracting # 0 : cost 0 0.513 * * [simplify]: Extracting # 1 : cost 0 0.514 * * [simplify]: Extracting # 2 : cost 0 0.515 * * [simplify]: Extracting # 3 : cost 0 0.515 * * [simplify]: Extracting # 4 : cost 0 0.516 * * [simplify]: iteration 2 : 666 enodes (cost 705 ) 1.016 * * [simplify]: Extracting # 0 : cost 0 1.019 * * [simplify]: Extracting # 1 : cost 0 1.023 * * [simplify]: Extracting # 2 : cost 0 1.027 * * [simplify]: Extracting # 3 : cost 0 1.031 * * [simplify]: iteration 3 : 2050 enodes (cost 614 ) 4.559 * * [simplify]: Extracting # 0 : cost 0 4.565 * * [simplify]: Extracting # 1 : cost 0 4.570 * * [simplify]: Extracting # 2 : cost 0 4.574 * * [simplify]: Extracting # 3 : cost 0 4.578 * * [simplify]: Extracting # 4 : cost 0 4.583 * * [simplify]: iteration done: 5000 enodes (cost 592 ) 4.583 * [simplify]: Simplified to: (- (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 (- (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 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)) (fma -2 (log (cbrt N)) (log (+ N 1.0))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (fma N N (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (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))) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ -1/2 1.0) (/ (* N N) 1.0) (fma 1.0 N (log 1.0))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) 4.584 * * * [progress]: adding candidates to table 4.788 * * [progress]: iteration 2 / 4 4.788 * * * [progress]: picking best candidate 4.796 * * * * [pick]: Picked # 4.796 * * * [progress]: localizing error 4.824 * * * [progress]: generating rewritten candidates 4.825 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 4.842 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 4.846 * * * [progress]: generating series expansions 4.846 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 4.847 * [backup-simplify]: Simplify (/ 1 (pow N 2)) into (/ 1 (pow N 2)) 4.847 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 4.847 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.847 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.847 * [taylor]: Taking taylor expansion of N in N 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.848 * [backup-simplify]: Simplify (* 1 1) into 1 4.848 * [backup-simplify]: Simplify (/ 1 1) into 1 4.848 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.848 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.848 * [taylor]: Taking taylor expansion of N in N 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.849 * [backup-simplify]: Simplify (* 1 1) into 1 4.849 * [backup-simplify]: Simplify (/ 1 1) into 1 4.849 * [backup-simplify]: Simplify 1 into 1 4.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.851 * [backup-simplify]: Simplify 0 into 0 4.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.853 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.855 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.857 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.860 * [backup-simplify]: Simplify 0 into 0 4.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 4.863 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 N) 2)) into (pow N 2) 4.863 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 4.863 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.863 * [taylor]: Taking taylor expansion of N in N 4.863 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify 1 into 1 4.863 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.863 * [taylor]: Taking taylor expansion of N in N 4.863 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify 1 into 1 4.863 * [backup-simplify]: Simplify (* 1 1) into 1 4.863 * [backup-simplify]: Simplify 1 into 1 4.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.864 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.865 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.866 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.867 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.868 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.870 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 4.871 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 (- N)) 2)) into (pow N 2) 4.871 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 4.871 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.871 * [taylor]: Taking taylor expansion of N in N 4.871 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify 1 into 1 4.871 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.871 * [taylor]: Taking taylor expansion of N in N 4.871 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify 1 into 1 4.871 * [backup-simplify]: Simplify (* 1 1) into 1 4.871 * [backup-simplify]: Simplify 1 into 1 4.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.872 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.873 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.874 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.875 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.877 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.879 * [backup-simplify]: Simplify 0 into 0 4.879 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 4.879 * * * * [progress]: [ 2 / 2 ] generating series at (2) 4.879 * [backup-simplify]: Simplify (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) into (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) 4.879 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in (N) around 0 4.879 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 4.880 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 4.880 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 4.880 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.880 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.880 * [taylor]: Taking taylor expansion of N in N 4.880 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify 1 into 1 4.880 * [backup-simplify]: Simplify (* 1 1) into 1 4.881 * [backup-simplify]: Simplify (/ 1 1) into 1 4.881 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 4.881 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 4.881 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.881 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.881 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.881 * [taylor]: Taking taylor expansion of N in N 4.881 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify 1 into 1 4.882 * [backup-simplify]: Simplify (/ 1 1) into 1 4.882 * [taylor]: Taking taylor expansion of 0.5 in N 4.882 * [backup-simplify]: Simplify 0.5 into 0.5 4.882 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 4.882 * [taylor]: Taking taylor expansion of 1.0 in N 4.882 * [backup-simplify]: Simplify 1.0 into 1.0 4.882 * [taylor]: Taking taylor expansion of N in N 4.882 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify 1 into 1 4.883 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.883 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 4.883 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 4.883 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 4.883 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.883 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.883 * [taylor]: Taking taylor expansion of N in N 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.884 * [backup-simplify]: Simplify (* 1 1) into 1 4.884 * [backup-simplify]: Simplify (/ 1 1) into 1 4.884 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 4.884 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 4.884 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.884 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.884 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.884 * [taylor]: Taking taylor expansion of N in N 4.885 * [backup-simplify]: Simplify 0 into 0 4.885 * [backup-simplify]: Simplify 1 into 1 4.885 * [backup-simplify]: Simplify (/ 1 1) into 1 4.885 * [taylor]: Taking taylor expansion of 0.5 in N 4.885 * [backup-simplify]: Simplify 0.5 into 0.5 4.885 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 4.885 * [taylor]: Taking taylor expansion of 1.0 in N 4.885 * [backup-simplify]: Simplify 1.0 into 1.0 4.885 * [taylor]: Taking taylor expansion of N in N 4.885 * [backup-simplify]: Simplify 0 into 0 4.885 * [backup-simplify]: Simplify 1 into 1 4.886 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.886 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.887 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.887 * [backup-simplify]: Simplify (* 1 0.3333333333333333) into 0.3333333333333333 4.888 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.888 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.889 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 4.889 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.890 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.894 * [backup-simplify]: Simplify (+ (* 1 (- 0.5)) (* 0 0.3333333333333333)) into (- 0.5) 4.894 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 4.895 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.896 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 4.896 * [backup-simplify]: Simplify (- 0) into 0 4.896 * [backup-simplify]: Simplify (+ 0 0) into 0 4.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 0.3333333333333333))) into 0 4.898 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.898 * [backup-simplify]: Simplify 1.0 into 1.0 4.899 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 4.899 * [backup-simplify]: Simplify (fma (/ 1 (pow (/ 1 N) 2)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 (/ 1 N))) into (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) 4.899 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in (N) around 0 4.899 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 4.899 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 4.899 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 4.899 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.899 * [taylor]: Taking taylor expansion of N in N 4.899 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify 1 into 1 4.899 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 4.899 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 4.899 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.899 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.899 * [taylor]: Taking taylor expansion of N in N 4.899 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify 1 into 1 4.900 * [taylor]: Taking taylor expansion of 0.5 in N 4.900 * [backup-simplify]: Simplify 0.5 into 0.5 4.900 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.900 * [taylor]: Taking taylor expansion of 1.0 in N 4.900 * [backup-simplify]: Simplify 1.0 into 1.0 4.900 * [taylor]: Taking taylor expansion of N in N 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify 1 into 1 4.900 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 4.900 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 4.900 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 4.900 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.900 * [taylor]: Taking taylor expansion of N in N 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify 1 into 1 4.900 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 4.900 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 4.900 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.900 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.900 * [taylor]: Taking taylor expansion of N in N 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify 1 into 1 4.900 * [taylor]: Taking taylor expansion of 0.5 in N 4.900 * [backup-simplify]: Simplify 0.5 into 0.5 4.900 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.900 * [taylor]: Taking taylor expansion of 1.0 in N 4.900 * [backup-simplify]: Simplify 1.0 into 1.0 4.900 * [taylor]: Taking taylor expansion of N in N 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify 1 into 1 4.900 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.901 * [backup-simplify]: Simplify (+ 0 0) into 0 4.901 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.902 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.902 * [backup-simplify]: Simplify 1.0 into 1.0 4.902 * [backup-simplify]: Simplify (* 1 1) into 1 4.902 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 4.903 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.903 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.904 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 4.904 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.904 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 4.905 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.906 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 4.906 * [backup-simplify]: Simplify (- 0) into 0 4.906 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.907 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 4.908 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.908 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.908 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.909 * [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)))) 4.909 * [backup-simplify]: Simplify (fma (/ 1 (pow (/ 1 (- N)) 2)) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5) (/ 1.0 (/ 1 (- N)))) into (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) 4.909 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in (N) around 0 4.909 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 4.909 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 4.909 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 4.910 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.910 * [taylor]: Taking taylor expansion of N in N 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 1 into 1 4.910 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 4.910 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 4.910 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 4.910 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.910 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.910 * [taylor]: Taking taylor expansion of N in N 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 1 into 1 4.910 * [taylor]: Taking taylor expansion of 0.5 in N 4.910 * [backup-simplify]: Simplify 0.5 into 0.5 4.910 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 4.910 * [taylor]: Taking taylor expansion of -1.0 in N 4.910 * [backup-simplify]: Simplify -1.0 into -1.0 4.910 * [taylor]: Taking taylor expansion of N in N 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 1 into 1 4.910 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 4.910 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 4.910 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 4.910 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.910 * [taylor]: Taking taylor expansion of N in N 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 1 into 1 4.910 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 4.910 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 4.910 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 4.910 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.910 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.910 * [taylor]: Taking taylor expansion of N in N 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 1 into 1 4.910 * [taylor]: Taking taylor expansion of 0.5 in N 4.910 * [backup-simplify]: Simplify 0.5 into 0.5 4.910 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 4.910 * [taylor]: Taking taylor expansion of -1.0 in N 4.910 * [backup-simplify]: Simplify -1.0 into -1.0 4.910 * [taylor]: Taking taylor expansion of N in N 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 1 into 1 4.911 * [backup-simplify]: Simplify (* -1.0 0) into 0 4.911 * [backup-simplify]: Simplify (+ 0 0) into 0 4.911 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 4.912 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.913 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.913 * [backup-simplify]: Simplify (* 1 1) into 1 4.913 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 4.913 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.914 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.914 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 4.915 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.915 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 4.915 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.916 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 4.916 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.917 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.917 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.919 * [backup-simplify]: Simplify (+ (* 1 (- 0.3333333333333333)) (* 0 (- 0.5))) into (- 0.3333333333333333) 4.919 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.920 * [backup-simplify]: Simplify (+ (- 0.3333333333333333) 0) into (- 0.3333333333333333) 4.920 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.921 * [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)))) 4.921 * * * [progress]: simplifying candidates 4.922 * [simplify]: Simplifying: (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (expm1 (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (log1p (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (log (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (exp (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (* (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 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)))) 4.924 * * [simplify]: Extracting # 0 : cost 0 4.924 * * [simplify]: Extracting # 1 : cost 0 4.924 * * [simplify]: Extracting # 2 : cost 0 4.924 * * [simplify]: Extracting # 3 : cost 0 4.924 * * [simplify]: Extracting # 4 : cost 0 4.924 * * [simplify]: Extracting # 5 : cost 0 4.924 * * [simplify]: Extracting # 6 : cost 0 4.924 * * [simplify]: Extracting # 7 : cost 0 4.925 * * [simplify]: Extracting # 8 : cost 0 4.925 * * [simplify]: Extracting # 9 : cost 0 4.925 * * [simplify]: iteration 0 : 114 enodes (cost 835 ) 4.965 * * [simplify]: Extracting # 0 : cost 0 4.965 * * [simplify]: Extracting # 1 : cost 0 4.966 * * [simplify]: Extracting # 2 : cost 0 4.966 * * [simplify]: Extracting # 3 : cost 0 4.966 * * [simplify]: Extracting # 4 : cost 0 4.966 * * [simplify]: iteration 1 : 207 enodes (cost 694 ) 5.039 * * [simplify]: Extracting # 0 : cost 0 5.040 * * [simplify]: Extracting # 1 : cost 0 5.041 * * [simplify]: Extracting # 2 : cost 0 5.041 * * [simplify]: Extracting # 3 : cost 0 5.042 * * [simplify]: Extracting # 4 : cost 0 5.042 * * [simplify]: iteration 2 : 382 enodes (cost 564 ) 5.298 * * [simplify]: Extracting # 0 : cost 0 5.301 * * [simplify]: Extracting # 1 : cost 0 5.303 * * [simplify]: Extracting # 2 : cost 0 5.305 * * [simplify]: Extracting # 3 : cost 0 5.307 * * [simplify]: Extracting # 4 : cost 0 5.309 * * [simplify]: iteration 3 : 1150 enodes (cost 560 ) 6.271 * * [simplify]: Extracting # 0 : cost 0 6.284 * * [simplify]: Extracting # 1 : cost 0 6.301 * * [simplify]: Extracting # 2 : cost 0 6.312 * * [simplify]: Extracting # 3 : cost 0 6.324 * * [simplify]: Extracting # 4 : cost 0 6.335 * * [simplify]: iteration done: 5000 enodes (cost 556 ) 6.336 * [simplify]: Simplified to: (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) -2 (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (exp (/ 1 (pow N 2))) (/ 1 (pow N 6)) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (/ 1 (pow N 6)) (fabs (/ 1 N)) (fabs (/ 1 N)) -1 (- (pow N 2)) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ (/ 1 (cbrt (pow N 2))) (cbrt (pow N 2))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ (/ 1 (cbrt (pow N 2))) (cbrt (pow N 2))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ (/ 1 (cbrt (pow N 2))) (cbrt (pow N 2))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ 1 (* N N)) (* N N) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ (/ 1 (cbrt (pow N 2))) (cbrt (pow N 2))) (/ 1 (fabs N)) 1 (/ 1 N) (* N N) (* N N) (* N N) (expm1 (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (log1p (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (log (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (exp (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (* (cbrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (cbrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))))) (cbrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (pow (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) 3) (sqrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (sqrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (* (/ 1 N) (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (* (/ 1 N) (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (* (/ 1 N) (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) 6.337 * * * [progress]: adding candidates to table 6.524 * * [progress]: iteration 3 / 4 6.524 * * * [progress]: picking best candidate 6.528 * * * * [pick]: Picked # 6.528 * * * [progress]: localizing error 6.541 * * * [progress]: generating rewritten candidates 6.541 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 6.580 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 6.595 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 6.600 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 6.610 * * * [progress]: generating series expansions 6.611 * * * * [progress]: [ 1 / 4 ] generating series at (2) 6.611 * [backup-simplify]: Simplify (- (exp (log (log (+ N 1.0)))) (log N)) into (- (log (+ N 1.0)) (log N)) 6.611 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 6.611 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 6.611 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.611 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.611 * [taylor]: Taking taylor expansion of N in N 6.611 * [backup-simplify]: Simplify 0 into 0 6.611 * [backup-simplify]: Simplify 1 into 1 6.611 * [taylor]: Taking taylor expansion of 1.0 in N 6.611 * [backup-simplify]: Simplify 1.0 into 1.0 6.612 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.612 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.613 * [taylor]: Taking taylor expansion of (log N) in N 6.613 * [taylor]: Taking taylor expansion of N in N 6.613 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify 1 into 1 6.613 * [backup-simplify]: Simplify (log 1) into 0 6.613 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 6.613 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.613 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.613 * [taylor]: Taking taylor expansion of N in N 6.613 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify 1 into 1 6.613 * [taylor]: Taking taylor expansion of 1.0 in N 6.613 * [backup-simplify]: Simplify 1.0 into 1.0 6.614 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.614 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.614 * [taylor]: Taking taylor expansion of (log N) in N 6.614 * [taylor]: Taking taylor expansion of N in N 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify 1 into 1 6.615 * [backup-simplify]: Simplify (log 1) into 0 6.615 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 6.615 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 6.616 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 6.616 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 6.617 * [backup-simplify]: Simplify (+ 1 0) into 1 6.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.621 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.621 * [backup-simplify]: Simplify (- 0) into 0 6.622 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.622 * [backup-simplify]: Simplify 1.0 into 1.0 6.622 * [backup-simplify]: Simplify (+ 0 0) into 0 6.628 * [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)) 6.629 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.629 * [backup-simplify]: Simplify (- 0) into 0 6.631 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 6.632 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 6.634 * [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))) 6.635 * [backup-simplify]: Simplify (- (exp (log (log (+ (/ 1 N) 1.0)))) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 6.635 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 6.635 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 6.635 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.635 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.635 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.635 * [taylor]: Taking taylor expansion of N in N 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 1 into 1 6.635 * [backup-simplify]: Simplify (/ 1 1) into 1 6.635 * [taylor]: Taking taylor expansion of 1.0 in N 6.635 * [backup-simplify]: Simplify 1.0 into 1.0 6.635 * [backup-simplify]: Simplify (+ 1 0) into 1 6.636 * [backup-simplify]: Simplify (log 1) into 0 6.636 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.636 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.636 * [taylor]: Taking taylor expansion of N in N 6.636 * [backup-simplify]: Simplify 0 into 0 6.636 * [backup-simplify]: Simplify 1 into 1 6.636 * [backup-simplify]: Simplify (/ 1 1) into 1 6.636 * [backup-simplify]: Simplify (log 1) into 0 6.636 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 6.636 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.636 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.636 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.636 * [taylor]: Taking taylor expansion of N in N 6.636 * [backup-simplify]: Simplify 0 into 0 6.636 * [backup-simplify]: Simplify 1 into 1 6.637 * [backup-simplify]: Simplify (/ 1 1) into 1 6.637 * [taylor]: Taking taylor expansion of 1.0 in N 6.637 * [backup-simplify]: Simplify 1.0 into 1.0 6.637 * [backup-simplify]: Simplify (+ 1 0) into 1 6.637 * [backup-simplify]: Simplify (log 1) into 0 6.637 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 6.637 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.637 * [taylor]: Taking taylor expansion of N in N 6.637 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify 1 into 1 6.637 * [backup-simplify]: Simplify (/ 1 1) into 1 6.638 * [backup-simplify]: Simplify (log 1) into 0 6.638 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.638 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.638 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 6.638 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 6.638 * [backup-simplify]: Simplify 0 into 0 6.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.639 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.643 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.644 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.644 * [backup-simplify]: Simplify (- 0) into 0 6.644 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.644 * [backup-simplify]: Simplify 1.0 into 1.0 6.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.645 * [backup-simplify]: Simplify (+ 0 0) into 0 6.656 * [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 6.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.660 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.660 * [backup-simplify]: Simplify (- 0) into 0 6.661 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 6.661 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.662 * [backup-simplify]: Simplify (+ 0 0) into 0 6.681 * [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 6.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.685 * [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 6.686 * [backup-simplify]: Simplify (- 0) into 0 6.686 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.686 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.687 * [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)))) 6.687 * [backup-simplify]: Simplify (- (exp (log (log (+ (/ 1 (- N)) 1.0)))) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 6.687 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 6.687 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 6.687 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.687 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.687 * [taylor]: Taking taylor expansion of 1.0 in N 6.687 * [backup-simplify]: Simplify 1.0 into 1.0 6.687 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.687 * [taylor]: Taking taylor expansion of N in N 6.687 * [backup-simplify]: Simplify 0 into 0 6.687 * [backup-simplify]: Simplify 1 into 1 6.688 * [backup-simplify]: Simplify (/ 1 1) into 1 6.688 * [backup-simplify]: Simplify (- 1) into -1 6.688 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.688 * [backup-simplify]: Simplify (log -1) into (log -1) 6.688 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 6.688 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.688 * [taylor]: Taking taylor expansion of -1 in N 6.688 * [backup-simplify]: Simplify -1 into -1 6.688 * [taylor]: Taking taylor expansion of N in N 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 1 into 1 6.689 * [backup-simplify]: Simplify (/ -1 1) into -1 6.689 * [backup-simplify]: Simplify (log -1) into (log -1) 6.689 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 6.689 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.689 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.689 * [taylor]: Taking taylor expansion of 1.0 in N 6.689 * [backup-simplify]: Simplify 1.0 into 1.0 6.689 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.689 * [taylor]: Taking taylor expansion of N in N 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 1 into 1 6.690 * [backup-simplify]: Simplify (/ 1 1) into 1 6.690 * [backup-simplify]: Simplify (- 1) into -1 6.690 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.690 * [backup-simplify]: Simplify (log -1) into (log -1) 6.690 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 6.690 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.690 * [taylor]: Taking taylor expansion of -1 in N 6.690 * [backup-simplify]: Simplify -1 into -1 6.690 * [taylor]: Taking taylor expansion of N in N 6.690 * [backup-simplify]: Simplify 0 into 0 6.690 * [backup-simplify]: Simplify 1 into 1 6.691 * [backup-simplify]: Simplify (/ -1 1) into -1 6.691 * [backup-simplify]: Simplify (log -1) into (log -1) 6.692 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.692 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.692 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 6.693 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 6.693 * [backup-simplify]: Simplify 0 into 0 6.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.694 * [backup-simplify]: Simplify (- 0) into 0 6.694 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.704 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.705 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.705 * [backup-simplify]: Simplify (- 0) into 0 6.705 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 6.706 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.707 * [backup-simplify]: Simplify (- 0) into 0 6.707 * [backup-simplify]: Simplify (+ 0 0) into 0 6.713 * [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 6.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.715 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 6.716 * [backup-simplify]: Simplify (- 0) into 0 6.716 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 6.716 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.717 * [backup-simplify]: Simplify (- 0) into 0 6.717 * [backup-simplify]: Simplify (+ 0 0) into 0 6.728 * [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 6.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.732 * [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 6.732 * [backup-simplify]: Simplify (- 0) into 0 6.733 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 6.733 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.734 * [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)))) 6.734 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 6.734 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 6.734 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 6.734 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.734 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.734 * [taylor]: Taking taylor expansion of N in N 6.734 * [backup-simplify]: Simplify 0 into 0 6.734 * [backup-simplify]: Simplify 1 into 1 6.734 * [taylor]: Taking taylor expansion of 1.0 in N 6.734 * [backup-simplify]: Simplify 1.0 into 1.0 6.735 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.735 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.735 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.735 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.735 * [taylor]: Taking taylor expansion of N in N 6.735 * [backup-simplify]: Simplify 0 into 0 6.735 * [backup-simplify]: Simplify 1 into 1 6.735 * [taylor]: Taking taylor expansion of 1.0 in N 6.735 * [backup-simplify]: Simplify 1.0 into 1.0 6.735 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.735 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.736 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.736 * [backup-simplify]: Simplify (+ 1 0) into 1 6.740 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.740 * [backup-simplify]: Simplify 1.0 into 1.0 6.740 * [backup-simplify]: Simplify (+ 0 0) into 0 6.751 * [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)) 6.752 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 6.754 * [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)))) 6.754 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 6.754 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 6.754 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.754 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.754 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.754 * [taylor]: Taking taylor expansion of N in N 6.754 * [backup-simplify]: Simplify 0 into 0 6.754 * [backup-simplify]: Simplify 1 into 1 6.755 * [backup-simplify]: Simplify (/ 1 1) into 1 6.755 * [taylor]: Taking taylor expansion of 1.0 in N 6.755 * [backup-simplify]: Simplify 1.0 into 1.0 6.755 * [backup-simplify]: Simplify (+ 1 0) into 1 6.756 * [backup-simplify]: Simplify (log 1) into 0 6.756 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.756 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.756 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.756 * [taylor]: Taking taylor expansion of N in N 6.756 * [backup-simplify]: Simplify 0 into 0 6.756 * [backup-simplify]: Simplify 1 into 1 6.756 * [backup-simplify]: Simplify (/ 1 1) into 1 6.756 * [taylor]: Taking taylor expansion of 1.0 in N 6.756 * [backup-simplify]: Simplify 1.0 into 1.0 6.757 * [backup-simplify]: Simplify (+ 1 0) into 1 6.757 * [backup-simplify]: Simplify (log 1) into 0 6.758 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.758 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 6.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.759 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.765 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.765 * [backup-simplify]: Simplify 1.0 into 1.0 6.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.766 * [backup-simplify]: Simplify (+ 0 0) into 0 6.772 * [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 6.773 * [backup-simplify]: Simplify -0.5 into -0.5 6.773 * [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)))) 6.773 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 6.773 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 6.773 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.773 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.773 * [taylor]: Taking taylor expansion of 1.0 in N 6.773 * [backup-simplify]: Simplify 1.0 into 1.0 6.773 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.773 * [taylor]: Taking taylor expansion of N in N 6.773 * [backup-simplify]: Simplify 0 into 0 6.773 * [backup-simplify]: Simplify 1 into 1 6.773 * [backup-simplify]: Simplify (/ 1 1) into 1 6.774 * [backup-simplify]: Simplify (- 1) into -1 6.774 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.774 * [backup-simplify]: Simplify (log -1) into (log -1) 6.774 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.774 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.774 * [taylor]: Taking taylor expansion of 1.0 in N 6.774 * [backup-simplify]: Simplify 1.0 into 1.0 6.774 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.774 * [taylor]: Taking taylor expansion of N in N 6.774 * [backup-simplify]: Simplify 0 into 0 6.774 * [backup-simplify]: Simplify 1 into 1 6.774 * [backup-simplify]: Simplify (/ 1 1) into 1 6.775 * [backup-simplify]: Simplify (- 1) into -1 6.775 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.775 * [backup-simplify]: Simplify (log -1) into (log -1) 6.776 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.776 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 6.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.777 * [backup-simplify]: Simplify (- 0) into 0 6.777 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.781 * [backup-simplify]: Simplify -1.0 into -1.0 6.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.782 * [backup-simplify]: Simplify (- 0) into 0 6.782 * [backup-simplify]: Simplify (+ 0 0) into 0 6.788 * [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 6.788 * [backup-simplify]: Simplify -0.5 into -0.5 6.789 * [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)))) 6.789 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 6.789 * [backup-simplify]: Simplify (exp (log (log (+ N 1.0)))) into (log (+ N 1.0)) 6.789 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 6.789 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.789 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.789 * [taylor]: Taking taylor expansion of N in N 6.789 * [backup-simplify]: Simplify 0 into 0 6.789 * [backup-simplify]: Simplify 1 into 1 6.789 * [taylor]: Taking taylor expansion of 1.0 in N 6.789 * [backup-simplify]: Simplify 1.0 into 1.0 6.790 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.790 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.790 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.790 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.790 * [taylor]: Taking taylor expansion of N in N 6.790 * [backup-simplify]: Simplify 0 into 0 6.790 * [backup-simplify]: Simplify 1 into 1 6.790 * [taylor]: Taking taylor expansion of 1.0 in N 6.790 * [backup-simplify]: Simplify 1.0 into 1.0 6.790 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.791 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.791 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.791 * [backup-simplify]: Simplify (+ 1 0) into 1 6.794 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.794 * [backup-simplify]: Simplify 1.0 into 1.0 6.795 * [backup-simplify]: Simplify (+ 0 0) into 0 6.803 * [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)) 6.804 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 6.805 * [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)))) 6.805 * [backup-simplify]: Simplify (exp (log (log (+ (/ 1 N) 1.0)))) into (log (+ (/ 1 N) 1.0)) 6.805 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 6.805 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.805 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.805 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.805 * [taylor]: Taking taylor expansion of N in N 6.805 * [backup-simplify]: Simplify 0 into 0 6.805 * [backup-simplify]: Simplify 1 into 1 6.806 * [backup-simplify]: Simplify (/ 1 1) into 1 6.806 * [taylor]: Taking taylor expansion of 1.0 in N 6.806 * [backup-simplify]: Simplify 1.0 into 1.0 6.806 * [backup-simplify]: Simplify (+ 1 0) into 1 6.806 * [backup-simplify]: Simplify (log 1) into 0 6.806 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.806 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.806 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.806 * [taylor]: Taking taylor expansion of N in N 6.806 * [backup-simplify]: Simplify 0 into 0 6.806 * [backup-simplify]: Simplify 1 into 1 6.806 * [backup-simplify]: Simplify (/ 1 1) into 1 6.806 * [taylor]: Taking taylor expansion of 1.0 in N 6.807 * [backup-simplify]: Simplify 1.0 into 1.0 6.807 * [backup-simplify]: Simplify (+ 1 0) into 1 6.807 * [backup-simplify]: Simplify (log 1) into 0 6.807 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.807 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 6.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.809 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.812 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.812 * [backup-simplify]: Simplify 1.0 into 1.0 6.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.813 * [backup-simplify]: Simplify (+ 0 0) into 0 6.819 * [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 6.819 * [backup-simplify]: Simplify -0.5 into -0.5 6.819 * [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)))) 6.819 * [backup-simplify]: Simplify (exp (log (log (+ (/ 1 (- N)) 1.0)))) into (log (- 1.0 (/ 1 N))) 6.819 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 6.820 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.820 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.820 * [taylor]: Taking taylor expansion of 1.0 in N 6.820 * [backup-simplify]: Simplify 1.0 into 1.0 6.820 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.820 * [taylor]: Taking taylor expansion of N in N 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify 1 into 1 6.820 * [backup-simplify]: Simplify (/ 1 1) into 1 6.820 * [backup-simplify]: Simplify (- 1) into -1 6.820 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.821 * [backup-simplify]: Simplify (log -1) into (log -1) 6.821 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.821 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.821 * [taylor]: Taking taylor expansion of 1.0 in N 6.821 * [backup-simplify]: Simplify 1.0 into 1.0 6.821 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.821 * [taylor]: Taking taylor expansion of N in N 6.821 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify 1 into 1 6.821 * [backup-simplify]: Simplify (/ 1 1) into 1 6.821 * [backup-simplify]: Simplify (- 1) into -1 6.821 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.822 * [backup-simplify]: Simplify (log -1) into (log -1) 6.822 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.823 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 6.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.823 * [backup-simplify]: Simplify (- 0) into 0 6.824 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.827 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.827 * [backup-simplify]: Simplify -1.0 into -1.0 6.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.828 * [backup-simplify]: Simplify (- 0) into 0 6.828 * [backup-simplify]: Simplify (+ 0 0) into 0 6.839 * [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 6.839 * [backup-simplify]: Simplify -0.5 into -0.5 6.840 * [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)))) 6.840 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 6.840 * [backup-simplify]: Simplify (log (log (+ N 1.0))) into (log (log (+ N 1.0))) 6.840 * [approximate]: Taking taylor expansion of (log (log (+ N 1.0))) in (N) around 0 6.840 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 6.840 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.840 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.840 * [taylor]: Taking taylor expansion of N in N 6.840 * [backup-simplify]: Simplify 0 into 0 6.840 * [backup-simplify]: Simplify 1 into 1 6.840 * [taylor]: Taking taylor expansion of 1.0 in N 6.840 * [backup-simplify]: Simplify 1.0 into 1.0 6.841 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.841 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.842 * [backup-simplify]: Simplify (log (log 1.0)) into (log (log 1.0)) 6.842 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 6.842 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.842 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.842 * [taylor]: Taking taylor expansion of N in N 6.842 * [backup-simplify]: Simplify 0 into 0 6.842 * [backup-simplify]: Simplify 1 into 1 6.842 * [taylor]: Taking taylor expansion of 1.0 in N 6.842 * [backup-simplify]: Simplify 1.0 into 1.0 6.843 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.843 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.844 * [backup-simplify]: Simplify (log (log 1.0)) into (log (log 1.0)) 6.845 * [backup-simplify]: Simplify (log (log 1.0)) into (log (log 1.0)) 6.845 * [backup-simplify]: Simplify (+ 1 0) into 1 6.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 6.858 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (log 1.0) 1)))) 1) into (/ 1.0 (log 1.0)) 6.859 * [backup-simplify]: Simplify (/ 1.0 (log 1.0)) into (/ 1.0 (log 1.0)) 6.859 * [backup-simplify]: Simplify (+ 0 0) into 0 6.864 * [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)) 6.876 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (log 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/2 (pow 1.0 2))) 1)) (pow (log 1.0) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (pow (log 1.0) 2))) (/ 1 (* (log 1.0) (pow 1.0 2))))) 6.881 * [backup-simplify]: Simplify (* -1/2 (+ (* 1.0 (/ 1 (pow (log 1.0) 2))) (/ 1 (* (log 1.0) (pow 1.0 2))))) into (* -1/2 (+ (* 1.0 (/ 1 (pow (log 1.0) 2))) (/ 1 (* (log 1.0) (pow 1.0 2))))) 6.887 * [backup-simplify]: Simplify (+ (* (* -1/2 (+ (* 1.0 (/ 1 (pow (log 1.0) 2))) (/ 1 (* (log 1.0) (pow 1.0 2))))) (pow N 2)) (+ (* (/ 1.0 (log 1.0)) N) (log (log 1.0)))) into (- (+ (log (log 1.0)) (* 1.0 (/ N (log 1.0)))) (+ (* 0.5 (/ (pow N 2) (pow (log 1.0) 2))) (* 1/2 (/ (pow N 2) (* (log 1.0) (pow 1.0 2)))))) 6.888 * [backup-simplify]: Simplify (log (log (+ (/ 1 N) 1.0))) into (log (log (+ (/ 1 N) 1.0))) 6.888 * [approximate]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in (N) around 0 6.888 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 6.888 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.888 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.888 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.888 * [taylor]: Taking taylor expansion of N in N 6.888 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify 1 into 1 6.888 * [backup-simplify]: Simplify (/ 1 1) into 1 6.888 * [taylor]: Taking taylor expansion of 1.0 in N 6.888 * [backup-simplify]: Simplify 1.0 into 1.0 6.888 * [backup-simplify]: Simplify (+ 1 0) into 1 6.889 * [backup-simplify]: Simplify (log 1) into 0 6.889 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.889 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.889 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 6.889 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 6.889 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.889 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.889 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.889 * [taylor]: Taking taylor expansion of N in N 6.889 * [backup-simplify]: Simplify 0 into 0 6.889 * [backup-simplify]: Simplify 1 into 1 6.890 * [backup-simplify]: Simplify (/ 1 1) into 1 6.890 * [taylor]: Taking taylor expansion of 1.0 in N 6.890 * [backup-simplify]: Simplify 1.0 into 1.0 6.890 * [backup-simplify]: Simplify (+ 1 0) into 1 6.890 * [backup-simplify]: Simplify (log 1) into 0 6.890 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.891 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.891 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 6.891 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 6.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.892 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.895 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 6.896 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (- (log N)) 1)))) 1) into (/ -1.0 (log N)) 6.897 * [backup-simplify]: Simplify (/ -1.0 (log N)) into (/ -1.0 (log N)) 6.897 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.902 * [backup-simplify]: Simplify (+ 0 0) into 0 6.908 * [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 6.909 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.911 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -0.5) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (* 1.0 (/ 1 (log N))) (* 1.0 (/ 1 (pow (log N) 2))))) 6.911 * [backup-simplify]: Simplify (* 1/2 (- (* 1.0 (/ 1 (log N))) (* 1.0 (/ 1 (pow (log N) 2))))) into (* 1/2 (- (* 1.0 (/ 1 (log N))) (* 1.0 (/ 1 (pow (log N) 2))))) 6.912 * [backup-simplify]: Simplify (+ (* (* 1/2 (- (* 1.0 (/ 1 (log (/ 1 N)))) (* 1.0 (/ 1 (pow (log (/ 1 N)) 2))))) (pow (/ 1 N) 2)) (+ (* (/ -1.0 (log (/ 1 N))) (/ 1 N)) (log (- (log (/ 1 N)))))) into (- (+ (log (- (log (/ 1 N)))) (* 0.5 (/ 1 (* (pow N 2) (log (/ 1 N)))))) (+ (* 0.5 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1.0 (/ 1 (* N (log (/ 1 N))))))) 6.912 * [backup-simplify]: Simplify (log (log (+ (/ 1 (- N)) 1.0))) into (log (log (- 1.0 (/ 1 N)))) 6.912 * [approximate]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in (N) around 0 6.912 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 6.912 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.912 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.912 * [taylor]: Taking taylor expansion of 1.0 in N 6.912 * [backup-simplify]: Simplify 1.0 into 1.0 6.912 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.912 * [taylor]: Taking taylor expansion of N in N 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify 1 into 1 6.913 * [backup-simplify]: Simplify (/ 1 1) into 1 6.913 * [backup-simplify]: Simplify (- 1) into -1 6.913 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.913 * [backup-simplify]: Simplify (log -1) into (log -1) 6.914 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.914 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.915 * [backup-simplify]: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 6.915 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 6.915 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.915 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.915 * [taylor]: Taking taylor expansion of 1.0 in N 6.915 * [backup-simplify]: Simplify 1.0 into 1.0 6.915 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.915 * [taylor]: Taking taylor expansion of N in N 6.915 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify 1 into 1 6.915 * [backup-simplify]: Simplify (/ 1 1) into 1 6.915 * [backup-simplify]: Simplify (- 1) into -1 6.916 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.916 * [backup-simplify]: Simplify (log -1) into (log -1) 6.916 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.917 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.917 * [backup-simplify]: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 6.918 * [backup-simplify]: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) 6.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.918 * [backup-simplify]: Simplify (- 0) into 0 6.919 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 6.923 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1.0) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1.0 (- (log -1) (log N))) 6.925 * [backup-simplify]: Simplify (/ -1.0 (- (log -1) (log N))) into (/ -1.0 (- (log -1) (log N))) 6.925 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.926 * [backup-simplify]: Simplify (- 0) into 0 6.926 * [backup-simplify]: Simplify (+ 0 0) into 0 6.932 * [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 6.933 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.936 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1.0) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -0.5) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (- (log -1) (log N)))) (* 1.0 (/ 1 (pow (- (log -1) (log N)) 2))))) 6.936 * [backup-simplify]: Simplify (* -1/2 (+ (* 1.0 (/ 1 (- (log -1) (log N)))) (* 1.0 (/ 1 (pow (- (log -1) (log N)) 2))))) into (* -1/2 (+ (* 1.0 (/ 1 (- (log -1) (log N)))) (* 1.0 (/ 1 (pow (- (log -1) (log N)) 2))))) 6.938 * [backup-simplify]: Simplify (+ (* (* -1/2 (+ (* 1.0 (/ 1 (- (log -1) (log (/ 1 (- N)))))) (* 1.0 (/ 1 (pow (- (log -1) (log (/ 1 (- N)))) 2))))) (pow (/ 1 (- N)) 2)) (+ (* (/ -1.0 (- (log -1) (log (/ 1 (- N))))) (/ 1 (- N))) (log (- (log -1) (log (/ 1 (- N))))))) into (- (+ (log (- (log -1) (log (/ -1 N)))) (* 1.0 (/ 1 (* (- (log -1) (log (/ -1 N))) N)))) (+ (* 0.5 (/ 1 (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (* 0.5 (/ 1 (* (- (log -1) (log (/ -1 N))) (pow N 2)))))) 6.938 * * * [progress]: simplifying candidates 6.940 * [simplify]: Simplifying: (fma (exp (log 1)) (exp (log (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log 1)) (exp (log (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 (exp (log 1)) (exp (log (log (+ N 1.0)))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (exp (log 1)) (exp (log (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (cbrt (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (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 (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (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 (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (cbrt (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log (sqrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log (sqrt (log (+ N 1.0))))) (exp (log (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 (exp (log (sqrt (log (+ N 1.0))))) (exp (log (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 (exp (log (sqrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log 1)) (exp (log (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log 1)) (exp (log (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 (exp (log 1)) (exp (log (log (+ N 1.0)))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (exp (log 1)) (exp (log (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (exp (log (log (+ N 1.0))))) (cbrt (exp (log (log (+ N 1.0)))))) (cbrt (exp (log (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (exp (log (log (+ N 1.0))))) (cbrt (exp (log (log (+ N 1.0)))))) (cbrt (exp (log (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 (exp (log (log (+ N 1.0))))) (cbrt (exp (log (log (+ N 1.0)))))) (cbrt (exp (log (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 (exp (log (log (+ N 1.0))))) (cbrt (exp (log (log (+ N 1.0)))))) (cbrt (exp (log (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (exp (log (log (+ N 1.0))))) (sqrt (exp (log (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (exp (log (log (+ N 1.0))))) (sqrt (exp (log (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 (exp (log (log (+ N 1.0))))) (sqrt (exp (log (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 (exp (log (log (+ N 1.0))))) (sqrt (exp (log (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (exp (log (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (exp (log (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 (exp (log (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 (exp (log (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (exp (log (log (+ N 1.0)))) (log N))) (log1p (- (exp (log (log (+ N 1.0)))) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (exp (exp (log (log (+ N 1.0))))) N) (log (- (exp (log (log (+ N 1.0)))) (log N))) (exp (- (exp (log (log (+ N 1.0)))) (log N))) (* (cbrt (- (exp (log (log (+ N 1.0)))) (log N))) (cbrt (- (exp (log (log (+ N 1.0)))) (log N)))) (cbrt (- (exp (log (log (+ N 1.0)))) (log N))) (* (* (- (exp (log (log (+ N 1.0)))) (log N)) (- (exp (log (log (+ N 1.0)))) (log N))) (- (exp (log (log (+ N 1.0)))) (log N))) (sqrt (- (exp (log (log (+ N 1.0)))) (log N))) (sqrt (- (exp (log (log (+ N 1.0)))) (log N))) (- (pow (exp (log (log (+ N 1.0)))) 3) (pow (log N) 3)) (+ (* (exp (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0))))) (+ (* (log N) (log N)) (* (exp (log (log (+ N 1.0)))) (log N)))) (- (log N)) (- (* (exp (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0))))) (* (log N) (log N))) (+ (exp (log (log (+ N 1.0)))) (log N)) (+ (exp (log (sqrt (log (+ N 1.0))))) (sqrt (log N))) (- (exp (log (sqrt (log (+ N 1.0))))) (sqrt (log N))) (+ (sqrt (exp (log (log (+ N 1.0))))) (sqrt (log N))) (- (sqrt (exp (log (log (+ N 1.0))))) (sqrt (log N))) (- (exp (log (log (+ N 1.0)))) (log N)) (- (exp (log (log (+ N 1.0)))) (log N)) (- (exp (log (log (+ N 1.0)))) (log (* (cbrt N) (cbrt N)))) (- (exp (log (log (+ N 1.0)))) (log (sqrt N))) (- (exp (log (log (+ N 1.0)))) (log 1)) (- (log N)) (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 (exp (log (log (+ N 1.0))))) (log1p (exp (log (log (+ N 1.0))))) (exp 1) (exp (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0)))))) (exp (sqrt (log (log (+ N 1.0))))) (exp 1) (exp (log 1)) (exp (log (log (+ N 1.0)))) (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (cbrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (exp (log 1)) (exp (log (log (+ N 1.0)))) (log (exp (log (log (+ N 1.0))))) (exp (exp (log (log (+ N 1.0))))) (* (cbrt (exp (log (log (+ N 1.0))))) (cbrt (exp (log (log (+ N 1.0)))))) (cbrt (exp (log (log (+ N 1.0))))) (* (* (exp (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0))))) (exp (log (log (+ N 1.0))))) (sqrt (exp (log (log (+ N 1.0))))) (sqrt (exp (log (log (+ N 1.0))))) (expm1 (log (log (+ N 1.0)))) (log1p (log (log (+ N 1.0)))) (log 1) (log (log (+ N 1.0))) (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log (cbrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (log 1) (log (log (+ N 1.0))) (log (log (+ N 1.0))) (log (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0)))) (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0))))) (cbrt (log (log (+ N 1.0)))) (* (* (log (log (+ N 1.0))) (log (log (+ N 1.0)))) (log (log (+ N 1.0)))) (sqrt (log (log (+ N 1.0)))) (sqrt (log (log (+ 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 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)))) (- (* 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)))) (- (+ (log (log 1.0)) (* 1.0 (/ N (log 1.0)))) (+ (* 0.5 (/ (pow N 2) (pow (log 1.0) 2))) (* 1/2 (/ (pow N 2) (* (log 1.0) (pow 1.0 2)))))) (- (+ (log (- (log (/ 1 N)))) (* 0.5 (/ 1 (* (pow N 2) (log (/ 1 N)))))) (+ (* 0.5 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1.0 (/ 1 (* N (log (/ 1 N))))))) (- (+ (log (- (log -1) (log (/ -1 N)))) (* 1.0 (/ 1 (* (- (log -1) (log (/ -1 N))) N)))) (+ (* 0.5 (/ 1 (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (* 0.5 (/ 1 (* (- (log -1) (log (/ -1 N))) (pow N 2)))))) 6.943 * * [simplify]: Extracting # 0 : cost 0 6.943 * * [simplify]: Extracting # 1 : cost 0 6.944 * * [simplify]: Extracting # 2 : cost 0 6.944 * * [simplify]: Extracting # 3 : cost 0 6.944 * * [simplify]: Extracting # 4 : cost 0 6.944 * * [simplify]: Extracting # 5 : cost 0 6.944 * * [simplify]: Extracting # 6 : cost 0 6.945 * * [simplify]: Extracting # 7 : cost 0 6.945 * * [simplify]: Extracting # 8 : cost 0 6.945 * * [simplify]: Extracting # 9 : cost 0 6.945 * * [simplify]: iteration 0 : 204 enodes (cost 2051 ) 7.020 * * [simplify]: Extracting # 0 : cost 0 7.022 * * [simplify]: Extracting # 1 : cost 0 7.022 * * [simplify]: Extracting # 2 : cost 0 7.023 * * [simplify]: Extracting # 3 : cost 0 7.024 * * [simplify]: Extracting # 4 : cost 0 7.025 * * [simplify]: iteration 1 : 445 enodes (cost 1493 ) 7.285 * * [simplify]: Extracting # 0 : cost 0 7.287 * * [simplify]: Extracting # 1 : cost 0 7.290 * * [simplify]: Extracting # 2 : cost 0 7.293 * * [simplify]: Extracting # 3 : cost 0 7.296 * * [simplify]: Extracting # 4 : cost 0 7.298 * * [simplify]: iteration 2 : 1170 enodes (cost 1200 ) 8.667 * * [simplify]: Extracting # 0 : cost 0 8.678 * * [simplify]: Extracting # 1 : cost 0 8.688 * * [simplify]: Extracting # 2 : cost 0 8.697 * * [simplify]: Extracting # 3 : cost 0 8.706 * * [simplify]: Extracting # 4 : cost 0 8.715 * * [simplify]: iteration 3 : 4515 enodes (cost 1007 ) 10.767 * * [simplify]: Extracting # 0 : cost 0 10.777 * * [simplify]: Extracting # 1 : cost 0 10.798 * * [simplify]: iteration done: 5000 enodes (cost 1000 ) 10.799 * [simplify]: Simplified to: (- (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 (- (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)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1.0 N) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ 1.0 N) 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) (log (+ N 1.0))) (log (+ 1.0 N)))) (- (log N)) (- (exp (* 2 (log (log (+ N 1.0))))) (pow (log N) 2)) (+ (log (+ 1.0 N)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (fma -2 (log (cbrt N)) (log (+ 1.0 N))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ 1.0 N)) (- (log N)) (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 (+ 1.0 N)) 0 (log (+ 1.0 N)) (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 (+ 1.0 N)) (log (log (+ 1.0 N))) (+ 1.0 N) (exp (* 2 (log (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))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) E (exp (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0)))))) (exp (sqrt (log (log (+ N 1.0))))) E 1 (log (+ 1.0 N)) (exp (* 2 (log (cbrt (log (+ N 1.0)))))) (cbrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) 1 (log (+ 1.0 N)) (log (log (+ 1.0 N))) (+ 1.0 N) (exp (* 2 (log (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))) (expm1 (log (log (+ N 1.0)))) (log1p (log (log (+ N 1.0)))) 0 (log (log (+ 1.0 N))) (* 2 (log (cbrt (log (+ N 1.0))))) (log (cbrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) 0 (log (log (+ 1.0 N))) (log (log (+ 1.0 N))) (log (log (log (+ N 1.0)))) (log (+ 1.0 N)) (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0))))) (cbrt (log (log (+ N 1.0)))) (pow (log (log (+ N 1.0))) 3) (sqrt (log (log (+ N 1.0)))) (sqrt (log (log (+ N 1.0)))) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma -1/2 (/ (pow N 2) (pow 1.0 2)) (fma 1.0 N (log 1.0))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma -1/2 (/ (pow N 2) (pow 1.0 2)) (fma 1.0 N (log 1.0))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (- (fma (/ N (log 1.0)) 1.0 (log (log 1.0))) (* (/ (* N N) (log 1.0)) (+ (/ 0.5 (log 1.0)) (/ 1/2 (* 1.0 1.0))))) (+ (- (* (/ 0.5 (* N N)) (- (/ -1 (log N)) (/ 1 (pow (log N) 2)))) (/ 1.0 (* N (- (log N))))) (log (log N))) (- (/ 1.0 (* (log N) N)) (- (* (/ 1 (pow N 2)) (+ (/ 0.5 (log N)) (/ 0.5 (pow (log N) 2)))) (log (log N)))) 10.801 * * * [progress]: adding candidates to table 11.130 * [progress]: [Phase 3 of 3] Extracting. 11.130 * * [regime]: Finding splitpoints for: (# #) 11.130 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.130 * * * * [regimes]: Trying to branch on N from (# #) 11.149 * * * [regime]: Found split indices: #