15.852 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.102 * * * [progress]: [2/2] Setting up program. 0.106 * [progress]: [Phase 2 of 3] Improving. 0.107 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.107 * * [simplify]: Extracting # 0 : cost 0 0.107 * * [simplify]: Extracting # 1 : cost 0 0.107 * * [simplify]: Extracting # 2 : cost 0 0.107 * * [simplify]: Extracting # 3 : cost 0 0.107 * * [simplify]: Extracting # 4 : cost 0 0.107 * * [simplify]: Extracting # 5 : cost 0 0.107 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.109 * * [simplify]: Extracting # 0 : cost 0 0.109 * * [simplify]: Extracting # 1 : cost 0 0.109 * * [simplify]: Extracting # 2 : cost 0 0.109 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.111 * * [simplify]: Extracting # 0 : cost 0 0.111 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.114 * * [simplify]: Extracting # 0 : cost 0 0.114 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.114 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.115 * * [progress]: iteration 1 / 4 0.115 * * * [progress]: picking best candidate 0.118 * * * * [pick]: Picked # 0.119 * * * [progress]: localizing error 0.135 * * * [progress]: generating rewritten candidates 0.136 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.160 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.166 * * * [progress]: generating series expansions 0.166 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.167 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.167 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.167 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.167 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.167 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [taylor]: Taking taylor expansion of 1.0 in N 0.167 * [backup-simplify]: Simplify 1.0 into 1.0 0.167 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.168 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.168 * [taylor]: Taking taylor expansion of (log N) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (log 1) into 0 0.168 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.168 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.168 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.168 * [backup-simplify]: Simplify 1.0 into 1.0 0.168 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.169 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.169 * [taylor]: Taking taylor expansion of (log 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 (log 1) into 0 0.169 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.169 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.170 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.170 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.170 * [backup-simplify]: Simplify (+ 1 0) into 1 0.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.175 * [backup-simplify]: Simplify 1.0 into 1.0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [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)) 0.182 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.185 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.187 * [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))) 0.188 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.188 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.188 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.188 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [taylor]: Taking taylor expansion of 1.0 in N 0.188 * [backup-simplify]: Simplify 1.0 into 1.0 0.188 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify (log 1) into 0 0.188 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [backup-simplify]: Simplify (log 1) into 0 0.189 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.189 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [backup-simplify]: Simplify 1.0 into 1.0 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify (log 1) into 0 0.190 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.190 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [backup-simplify]: Simplify (log 1) into 0 0.191 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.191 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.191 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.192 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.202 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.202 * [backup-simplify]: Simplify 1.0 into 1.0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [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 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.224 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [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 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [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 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.239 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.240 * [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)))) 0.240 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.240 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.240 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.240 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.240 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.240 * [taylor]: Taking taylor expansion of 1.0 in N 0.240 * [backup-simplify]: Simplify 1.0 into 1.0 0.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [backup-simplify]: Simplify (- 1) into -1 0.241 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.241 * [backup-simplify]: Simplify (log -1) into (log -1) 0.242 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.242 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.242 * [taylor]: Taking taylor expansion of -1 in N 0.242 * [backup-simplify]: Simplify -1 into -1 0.242 * [taylor]: Taking taylor expansion of N in N 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ -1 1) into -1 0.242 * [backup-simplify]: Simplify (log -1) into (log -1) 0.242 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.242 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.242 * [taylor]: Taking taylor expansion of 1.0 in N 0.242 * [backup-simplify]: Simplify 1.0 into 1.0 0.242 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.242 * [taylor]: Taking taylor expansion of N in N 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [backup-simplify]: Simplify (- 1) into -1 0.243 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.243 * [backup-simplify]: Simplify (log -1) into (log -1) 0.243 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.243 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.243 * [taylor]: Taking taylor expansion of -1 in N 0.243 * [backup-simplify]: Simplify -1 into -1 0.244 * [taylor]: Taking taylor expansion of N in N 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (/ -1 1) into -1 0.244 * [backup-simplify]: Simplify (log -1) into (log -1) 0.245 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.245 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.246 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.246 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.251 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.253 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.253 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [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 0.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.270 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [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 0.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [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 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.288 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.289 * [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)))) 0.289 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.289 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.289 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.289 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.289 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.289 * [taylor]: Taking taylor expansion of N in N 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of 1.0 in N 0.289 * [backup-simplify]: Simplify 1.0 into 1.0 0.290 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.290 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.290 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.290 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.290 * [backup-simplify]: Simplify 1.0 into 1.0 0.290 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.291 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.291 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.294 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.295 * [backup-simplify]: Simplify 1.0 into 1.0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [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)) 0.301 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.302 * [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)))) 0.302 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.302 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.302 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.302 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of 1.0 in N 0.303 * [backup-simplify]: Simplify 1.0 into 1.0 0.303 * [backup-simplify]: Simplify (+ 1 0) into 1 0.303 * [backup-simplify]: Simplify (log 1) into 0 0.303 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.303 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.304 * [taylor]: Taking taylor expansion of N in N 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [taylor]: Taking taylor expansion of 1.0 in N 0.304 * [backup-simplify]: Simplify 1.0 into 1.0 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.305 * [backup-simplify]: Simplify (log 1) into 0 0.305 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.305 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.310 * [backup-simplify]: Simplify 1.0 into 1.0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [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 0.317 * [backup-simplify]: Simplify -0.5 into -0.5 0.317 * [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)))) 0.317 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.317 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.317 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.317 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.317 * [taylor]: Taking taylor expansion of 1.0 in N 0.317 * [backup-simplify]: Simplify 1.0 into 1.0 0.317 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.317 * [taylor]: Taking taylor expansion of N in N 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [backup-simplify]: Simplify (- 1) into -1 0.321 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.321 * [backup-simplify]: Simplify (log -1) into (log -1) 0.321 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.321 * [taylor]: Taking taylor expansion of 1.0 in N 0.321 * [backup-simplify]: Simplify 1.0 into 1.0 0.321 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.321 * [taylor]: Taking taylor expansion of N in N 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [backup-simplify]: Simplify (- 1) into -1 0.322 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.322 * [backup-simplify]: Simplify (log -1) into (log -1) 0.323 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.323 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.328 * [backup-simplify]: Simplify -1.0 into -1.0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [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 0.335 * [backup-simplify]: Simplify -0.5 into -0.5 0.335 * [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)))) 0.335 * * * [progress]: simplifying candidates 0.336 * [simplify]: Simplifying: (/ (+ 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)) (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 0.337 * * [simplify]: Extracting # 1 : cost 0 0.337 * * [simplify]: Extracting # 2 : cost 0 0.337 * * [simplify]: Extracting # 3 : cost 0 0.337 * * [simplify]: Extracting # 4 : cost 0 0.338 * * [simplify]: Extracting # 5 : cost 0 0.338 * * [simplify]: Extracting # 6 : cost 0 0.338 * * [simplify]: Extracting # 7 : cost 0 0.338 * * [simplify]: iteration 0 : 101 enodes (cost 510 ) 0.372 * * [simplify]: Extracting # 0 : cost 0 0.372 * * [simplify]: Extracting # 1 : cost 0 0.373 * * [simplify]: Extracting # 2 : cost 0 0.373 * * [simplify]: Extracting # 3 : cost 0 0.374 * * [simplify]: Extracting # 4 : cost 0 0.374 * * [simplify]: iteration 1 : 213 enodes (cost 488 ) 0.467 * * [simplify]: Extracting # 0 : cost 0 0.467 * * [simplify]: Extracting # 1 : cost 0 0.468 * * [simplify]: Extracting # 2 : cost 0 0.469 * * [simplify]: Extracting # 3 : cost 0 0.470 * * [simplify]: Extracting # 4 : cost 0 0.470 * * [simplify]: iteration 2 : 644 enodes (cost 445 ) 0.915 * * [simplify]: Extracting # 0 : cost 0 0.919 * * [simplify]: Extracting # 1 : cost 0 0.925 * * [simplify]: Extracting # 2 : cost 0 0.931 * * [simplify]: Extracting # 3 : cost 0 0.936 * * [simplify]: Extracting # 4 : cost 0 0.942 * * [simplify]: iteration 3 : 2755 enodes (cost 443 ) 1.734 * * [simplify]: Extracting # 0 : cost 0 1.753 * * [simplify]: Extracting # 1 : cost 0 1.767 * * [simplify]: Extracting # 2 : cost 0 1.779 * * [simplify]: Extracting # 3 : cost 0 1.790 * * [simplify]: Extracting # 4 : cost 0 1.800 * * [simplify]: iteration done: 5001 enodes (cost 438 ) 1.801 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (log N) (log N))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log N) (log (+ N 1.0))) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (+ (* N 1.0) (* -1/2 (/ (pow N 2) (pow 1.0 2)))) (log 1.0)) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) 1.801 * * * [progress]: adding candidates to table 2.001 * * [progress]: iteration 2 / 4 2.001 * * * [progress]: picking best candidate 2.008 * * * * [pick]: Picked # 2.008 * * * [progress]: localizing error 2.013 * * * [progress]: generating rewritten candidates 2.013 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.020 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.051 * * * [progress]: generating series expansions 2.051 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.051 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 2.051 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.051 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.051 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.051 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.051 * [taylor]: Taking taylor expansion of N in N 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [taylor]: Taking taylor expansion of 1.0 in N 2.051 * [backup-simplify]: Simplify 1.0 into 1.0 2.051 * [taylor]: Taking taylor expansion of N in N 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.052 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.053 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.053 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.053 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.053 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.053 * [taylor]: Taking taylor expansion of N in N 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [taylor]: Taking taylor expansion of 1.0 in N 2.053 * [backup-simplify]: Simplify 1.0 into 1.0 2.053 * [taylor]: Taking taylor expansion of N in N 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.054 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.054 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.055 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.056 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.056 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.057 * [backup-simplify]: Simplify (+ 1 0) into 1 2.058 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.069 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.069 * [backup-simplify]: Simplify 1.0 into 1.0 2.069 * [backup-simplify]: Simplify (+ 0 0) into 0 2.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.075 * [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)) 2.076 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.077 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 2.077 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 2.077 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.077 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.077 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.077 * [taylor]: Taking taylor expansion of N in N 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 1 into 1 2.078 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.078 * [taylor]: Taking taylor expansion of N in N 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (/ 1 1) into 1 2.078 * [taylor]: Taking taylor expansion of 1.0 in N 2.078 * [backup-simplify]: Simplify 1.0 into 1.0 2.078 * [backup-simplify]: Simplify (+ 1 0) into 1 2.078 * [backup-simplify]: Simplify (* 0 1) into 0 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.080 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.080 * [backup-simplify]: Simplify (log 1) into 0 2.080 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.080 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.080 * [taylor]: Taking taylor expansion of N in N 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.080 * [taylor]: Taking taylor expansion of N in N 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (/ 1 1) into 1 2.080 * [taylor]: Taking taylor expansion of 1.0 in N 2.080 * [backup-simplify]: Simplify 1.0 into 1.0 2.081 * [backup-simplify]: Simplify (+ 1 0) into 1 2.081 * [backup-simplify]: Simplify (* 0 1) into 0 2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.082 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.082 * [backup-simplify]: Simplify (log 1) into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.088 * [backup-simplify]: Simplify 1.0 into 1.0 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (+ 0 0) into 0 2.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.097 * [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 2.097 * [backup-simplify]: Simplify -0.5 into -0.5 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (+ 0 0) into 0 2.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.119 * [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 2.119 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.120 * [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)))) 2.120 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 2.120 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.120 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.120 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.120 * [taylor]: Taking taylor expansion of -1 in N 2.120 * [backup-simplify]: Simplify -1 into -1 2.120 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.120 * [taylor]: Taking taylor expansion of N in N 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.120 * [taylor]: Taking taylor expansion of 1.0 in N 2.120 * [backup-simplify]: Simplify 1.0 into 1.0 2.120 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.120 * [taylor]: Taking taylor expansion of N in N 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (/ 1 1) into 1 2.122 * [backup-simplify]: Simplify (- 1) into -1 2.122 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.123 * [backup-simplify]: Simplify (* 0 -1) into 0 2.123 * [backup-simplify]: Simplify (* -1 0) into 0 2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (- 0) into 0 2.125 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.125 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.126 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.126 * [backup-simplify]: Simplify (log 1) into 0 2.126 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.126 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.126 * [taylor]: Taking taylor expansion of -1 in N 2.127 * [backup-simplify]: Simplify -1 into -1 2.127 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.127 * [taylor]: Taking taylor expansion of N in N 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.127 * [taylor]: Taking taylor expansion of 1.0 in N 2.127 * [backup-simplify]: Simplify 1.0 into 1.0 2.127 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.127 * [taylor]: Taking taylor expansion of N in N 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (/ 1 1) into 1 2.128 * [backup-simplify]: Simplify (- 1) into -1 2.128 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.128 * [backup-simplify]: Simplify (* 0 -1) into 0 2.129 * [backup-simplify]: Simplify (* -1 0) into 0 2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (- 0) into 0 2.130 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.131 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.131 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.131 * [backup-simplify]: Simplify (log 1) into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.132 * [backup-simplify]: Simplify (- 0) into 0 2.133 * [backup-simplify]: Simplify (+ 0 0) into 0 2.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.135 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.140 * [backup-simplify]: Simplify -1.0 into -1.0 2.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.141 * [backup-simplify]: Simplify (- 0) into 0 2.141 * [backup-simplify]: Simplify (+ 0 0) into 0 2.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.142 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.149 * [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 2.149 * [backup-simplify]: Simplify -0.5 into -0.5 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (- 0) into 0 2.150 * [backup-simplify]: Simplify (+ 0 0) into 0 2.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.152 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.164 * [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 2.164 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.165 * [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)))) 2.165 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.165 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 2.165 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.165 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.165 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.165 * [taylor]: Taking taylor expansion of N in N 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [taylor]: Taking taylor expansion of 1.0 in N 2.165 * [backup-simplify]: Simplify 1.0 into 1.0 2.165 * [taylor]: Taking taylor expansion of N in N 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.170 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.170 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.170 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.170 * [taylor]: Taking taylor expansion of N in N 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 1 into 1 2.170 * [taylor]: Taking taylor expansion of 1.0 in N 2.170 * [backup-simplify]: Simplify 1.0 into 1.0 2.170 * [taylor]: Taking taylor expansion of N in N 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.171 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.171 * [backup-simplify]: Simplify 1.0 into 1.0 2.172 * [backup-simplify]: Simplify (+ 1 0) into 1 2.173 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.173 * [backup-simplify]: Simplify 1 into 1 2.173 * [backup-simplify]: Simplify (+ 0 0) into 0 2.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify (+ 0 0) into 0 2.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.176 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (+ 0 0) into 0 2.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (+ 0 0) into 0 2.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify (+ 0 0) into 0 2.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 2.179 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 2.179 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.179 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.180 * [taylor]: Taking taylor expansion of N in N 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.180 * [taylor]: Taking taylor expansion of N in N 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (/ 1 1) into 1 2.180 * [taylor]: Taking taylor expansion of 1.0 in N 2.180 * [backup-simplify]: Simplify 1.0 into 1.0 2.180 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.180 * [taylor]: Taking taylor expansion of N in N 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.180 * [taylor]: Taking taylor expansion of N in N 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (/ 1 1) into 1 2.180 * [taylor]: Taking taylor expansion of 1.0 in N 2.180 * [backup-simplify]: Simplify 1.0 into 1.0 2.181 * [backup-simplify]: Simplify (+ 1 0) into 1 2.181 * [backup-simplify]: Simplify (* 0 1) into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.182 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.182 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.182 * [backup-simplify]: Simplify 1 into 1 2.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.183 * [backup-simplify]: Simplify (+ 0 0) into 0 2.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.185 * [backup-simplify]: Simplify 1.0 into 1.0 2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.186 * [backup-simplify]: Simplify (+ 0 0) into 0 2.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (+ 0 0) into 0 2.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.188 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.189 * [backup-simplify]: Simplify (+ 0 0) into 0 2.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.191 * [backup-simplify]: Simplify (+ 0 0) into 0 2.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.192 * [backup-simplify]: Simplify (+ 0 0) into 0 2.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.194 * [backup-simplify]: Simplify (+ 0 0) into 0 2.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.196 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.196 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.196 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.196 * [taylor]: Taking taylor expansion of -1 in N 2.196 * [backup-simplify]: Simplify -1 into -1 2.196 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.196 * [taylor]: Taking taylor expansion of N in N 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.196 * [taylor]: Taking taylor expansion of 1.0 in N 2.196 * [backup-simplify]: Simplify 1.0 into 1.0 2.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.196 * [taylor]: Taking taylor expansion of N in N 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify (/ 1 1) into 1 2.196 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.196 * [taylor]: Taking taylor expansion of -1 in N 2.196 * [backup-simplify]: Simplify -1 into -1 2.196 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.196 * [taylor]: Taking taylor expansion of N in N 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.196 * [taylor]: Taking taylor expansion of 1.0 in N 2.196 * [backup-simplify]: Simplify 1.0 into 1.0 2.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.196 * [taylor]: Taking taylor expansion of N in N 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.197 * [backup-simplify]: Simplify (/ 1 1) into 1 2.197 * [backup-simplify]: Simplify (- 1) into -1 2.197 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.197 * [backup-simplify]: Simplify (* 0 -1) into 0 2.198 * [backup-simplify]: Simplify (* -1 0) into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.198 * [backup-simplify]: Simplify (- 0) into 0 2.199 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.199 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.199 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.199 * [backup-simplify]: Simplify 1 into 1 2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (- 0) into 0 2.200 * [backup-simplify]: Simplify (+ 0 0) into 0 2.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.205 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.205 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.206 * [backup-simplify]: Simplify (- 0) into 0 2.207 * [backup-simplify]: Simplify (+ 0 0) into 0 2.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.209 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.209 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.211 * [backup-simplify]: Simplify (- 0) into 0 2.211 * [backup-simplify]: Simplify (+ 0 0) into 0 2.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.214 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.215 * [backup-simplify]: Simplify (- 0) into 0 2.215 * [backup-simplify]: Simplify (+ 0 0) into 0 2.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.218 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.219 * [backup-simplify]: Simplify (- 0) into 0 2.220 * [backup-simplify]: Simplify (+ 0 0) into 0 2.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.223 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (- 0) into 0 2.224 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.228 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.229 * [backup-simplify]: Simplify (- 0) into 0 2.230 * [backup-simplify]: Simplify (+ 0 0) into 0 2.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.234 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.234 * * * [progress]: simplifying candidates 2.236 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 2.239 * * [simplify]: Extracting # 0 : cost 0 2.240 * * [simplify]: Extracting # 1 : cost 0 2.240 * * [simplify]: Extracting # 2 : cost 0 2.240 * * [simplify]: Extracting # 3 : cost 0 2.240 * * [simplify]: Extracting # 4 : cost 0 2.240 * * [simplify]: Extracting # 5 : cost 0 2.241 * * [simplify]: Extracting # 6 : cost 0 2.241 * * [simplify]: Extracting # 7 : cost 0 2.241 * * [simplify]: Extracting # 8 : cost 0 2.242 * * [simplify]: Extracting # 9 : cost 0 2.242 * * [simplify]: Extracting # 10 : cost 0 2.242 * * [simplify]: iteration 0 : 108 enodes (cost 723 ) 2.289 * * [simplify]: Extracting # 0 : cost 0 2.289 * * [simplify]: Extracting # 1 : cost 0 2.290 * * [simplify]: Extracting # 2 : cost 0 2.290 * * [simplify]: Extracting # 3 : cost 0 2.291 * * [simplify]: iteration 1 : 243 enodes (cost 690 ) 2.441 * * [simplify]: Extracting # 0 : cost 0 2.444 * * [simplify]: Extracting # 1 : cost 0 2.446 * * [simplify]: Extracting # 2 : cost 0 2.449 * * [simplify]: Extracting # 3 : cost 0 2.451 * * [simplify]: iteration 2 : 1010 enodes (cost 637 ) 2.876 * * [simplify]: Extracting # 0 : cost 0 2.887 * * [simplify]: Extracting # 1 : cost 0 2.905 * * [simplify]: Extracting # 2 : cost 0 2.920 * * [simplify]: Extracting # 3 : cost 0 2.928 * * [simplify]: Extracting # 4 : cost 0 2.936 * * [simplify]: iteration done: 5000 enodes (cost 624 ) 2.937 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (+ (pow N 3) (* N (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 2.937 * * * [progress]: adding candidates to table 3.104 * * [progress]: iteration 3 / 4 3.104 * * * [progress]: picking best candidate 3.107 * * * * [pick]: Picked # 3.107 * * * [progress]: localizing error 3.121 * * * [progress]: generating rewritten candidates 3.121 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.320 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.337 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.355 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.399 * * * [progress]: generating series expansions 3.399 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.399 * [backup-simplify]: Simplify (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 3.399 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.400 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 3.400 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 3.400 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.400 * [taylor]: Taking taylor expansion of 1.0 in N 3.400 * [backup-simplify]: Simplify 1.0 into 1.0 3.400 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.400 * [taylor]: Taking taylor expansion of N in N 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.400 * [backup-simplify]: Simplify (/ 1 1) into 1 3.400 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.400 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.400 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.400 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.400 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.400 * [taylor]: Taking taylor expansion of N in N 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify (* 1 1) into 1 3.401 * [backup-simplify]: Simplify (* 1 1) into 1 3.401 * [backup-simplify]: Simplify (/ 1 1) into 1 3.401 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.401 * [taylor]: Taking taylor expansion of 0.5 in N 3.401 * [backup-simplify]: Simplify 0.5 into 0.5 3.401 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.401 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.402 * [taylor]: Taking taylor expansion of N in N 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 1 into 1 3.402 * [backup-simplify]: Simplify (* 1 1) into 1 3.402 * [backup-simplify]: Simplify (/ 1 1) into 1 3.402 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 3.402 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 3.402 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.402 * [taylor]: Taking taylor expansion of 1.0 in N 3.402 * [backup-simplify]: Simplify 1.0 into 1.0 3.402 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.402 * [taylor]: Taking taylor expansion of N in N 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 1 into 1 3.403 * [backup-simplify]: Simplify (/ 1 1) into 1 3.403 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.403 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.403 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.403 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.403 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.403 * [taylor]: Taking taylor expansion of N in N 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 1 into 1 3.403 * [backup-simplify]: Simplify (* 1 1) into 1 3.403 * [backup-simplify]: Simplify (* 1 1) into 1 3.404 * [backup-simplify]: Simplify (/ 1 1) into 1 3.404 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.404 * [taylor]: Taking taylor expansion of 0.5 in N 3.404 * [backup-simplify]: Simplify 0.5 into 0.5 3.404 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.404 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.404 * [taylor]: Taking taylor expansion of N in N 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify 1 into 1 3.404 * [backup-simplify]: Simplify (* 1 1) into 1 3.404 * [backup-simplify]: Simplify (/ 1 1) into 1 3.405 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.405 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.405 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.405 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.407 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.407 * [backup-simplify]: Simplify (+ 0 0) into 0 3.408 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.408 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.408 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.409 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.409 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.411 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.411 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.413 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.413 * [backup-simplify]: Simplify (- 0) into 0 3.413 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.413 * [backup-simplify]: Simplify 1.0 into 1.0 3.414 * [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)))) 3.414 * [backup-simplify]: Simplify (+ (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) (/ 0.3333333333333333 (pow (/ 1 N) 3))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 3.414 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 3.414 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.414 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.414 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.414 * [taylor]: Taking taylor expansion of 1.0 in N 3.414 * [backup-simplify]: Simplify 1.0 into 1.0 3.414 * [taylor]: Taking taylor expansion of N in N 3.414 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify 1 into 1 3.414 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.414 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.414 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.414 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.414 * [taylor]: Taking taylor expansion of N in N 3.414 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify 1 into 1 3.414 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.414 * [taylor]: Taking taylor expansion of 0.5 in N 3.414 * [backup-simplify]: Simplify 0.5 into 0.5 3.415 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.415 * [taylor]: Taking taylor expansion of N in N 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.415 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.415 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.415 * [taylor]: Taking taylor expansion of 1.0 in N 3.415 * [backup-simplify]: Simplify 1.0 into 1.0 3.415 * [taylor]: Taking taylor expansion of N in N 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.415 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.415 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.415 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.415 * [taylor]: Taking taylor expansion of N in N 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.415 * [taylor]: Taking taylor expansion of 0.5 in N 3.415 * [backup-simplify]: Simplify 0.5 into 0.5 3.415 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.415 * [taylor]: Taking taylor expansion of N in N 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.415 * [backup-simplify]: Simplify (+ 0 0) into 0 3.416 * [backup-simplify]: Simplify (+ 0 0) into 0 3.416 * [backup-simplify]: Simplify 0 into 0 3.417 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.417 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.417 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.417 * [backup-simplify]: Simplify 1.0 into 1.0 3.418 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.418 * [backup-simplify]: Simplify (+ 0 0) into 0 3.418 * [backup-simplify]: Simplify (* 1 1) into 1 3.418 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.419 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.419 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.419 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.420 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.421 * [backup-simplify]: Simplify (* 1 1) into 1 3.421 * [backup-simplify]: Simplify (* 1 1) into 1 3.421 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.421 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.422 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.422 * [backup-simplify]: Simplify (- 0) into 0 3.423 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.423 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.423 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.424 * [backup-simplify]: Simplify (+ (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 0.3333333333333333 (pow (/ 1 (- N)) 3))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 3.424 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 3.424 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.424 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.424 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.424 * [taylor]: Taking taylor expansion of 0.5 in N 3.424 * [backup-simplify]: Simplify 0.5 into 0.5 3.424 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.424 * [taylor]: Taking taylor expansion of N in N 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.424 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.424 * [taylor]: Taking taylor expansion of 1.0 in N 3.424 * [backup-simplify]: Simplify 1.0 into 1.0 3.424 * [taylor]: Taking taylor expansion of N in N 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.424 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.424 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.424 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.424 * [taylor]: Taking taylor expansion of N in N 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.424 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.425 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.425 * [taylor]: Taking taylor expansion of 0.5 in N 3.425 * [backup-simplify]: Simplify 0.5 into 0.5 3.425 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.425 * [taylor]: Taking taylor expansion of N in N 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 1 into 1 3.425 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.425 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.425 * [taylor]: Taking taylor expansion of 1.0 in N 3.425 * [backup-simplify]: Simplify 1.0 into 1.0 3.425 * [taylor]: Taking taylor expansion of N in N 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 1 into 1 3.425 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.425 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.425 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.425 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.425 * [taylor]: Taking taylor expansion of N in N 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 1 into 1 3.425 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.425 * [backup-simplify]: Simplify (+ 0 0) into 0 3.426 * [backup-simplify]: Simplify (+ 0 0) into 0 3.426 * [backup-simplify]: Simplify (- 0) into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.428 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.428 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.428 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.429 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.429 * [backup-simplify]: Simplify (* 1 1) into 1 3.430 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.432 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.432 * [backup-simplify]: Simplify (+ 0 0) into 0 3.433 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.433 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.433 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.435 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.436 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.437 * [backup-simplify]: Simplify (* 1 1) into 1 3.437 * [backup-simplify]: Simplify (* 1 1) into 1 3.438 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.438 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.439 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.439 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.439 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.440 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.440 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.440 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 3.440 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 3.440 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 3.440 * [taylor]: Taking taylor expansion of 0.5 in N 3.440 * [backup-simplify]: Simplify 0.5 into 0.5 3.440 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.441 * [taylor]: Taking taylor expansion of N in N 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 1 into 1 3.441 * [backup-simplify]: Simplify (* 1 1) into 1 3.441 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 3.441 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 3.441 * [taylor]: Taking taylor expansion of 0.5 in N 3.441 * [backup-simplify]: Simplify 0.5 into 0.5 3.441 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.441 * [taylor]: Taking taylor expansion of N in N 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 1 into 1 3.441 * [backup-simplify]: Simplify (* 1 1) into 1 3.442 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 3.442 * [backup-simplify]: Simplify 0.5 into 0.5 3.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.445 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.446 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 3.449 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 3.449 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 3.449 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.449 * [taylor]: Taking taylor expansion of 0.5 in N 3.449 * [backup-simplify]: Simplify 0.5 into 0.5 3.449 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.449 * [taylor]: Taking taylor expansion of N in N 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 1 into 1 3.449 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.449 * [taylor]: Taking taylor expansion of 0.5 in N 3.449 * [backup-simplify]: Simplify 0.5 into 0.5 3.449 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.450 * [taylor]: Taking taylor expansion of N in N 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.450 * [backup-simplify]: Simplify (* 1 1) into 1 3.450 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.450 * [backup-simplify]: Simplify 0.5 into 0.5 3.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.451 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.452 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.452 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.453 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.453 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.455 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.459 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.459 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.461 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 3.461 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 3.461 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 3.461 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.461 * [taylor]: Taking taylor expansion of 0.5 in N 3.461 * [backup-simplify]: Simplify 0.5 into 0.5 3.461 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.461 * [taylor]: Taking taylor expansion of N in N 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify 1 into 1 3.461 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.461 * [taylor]: Taking taylor expansion of 0.5 in N 3.461 * [backup-simplify]: Simplify 0.5 into 0.5 3.461 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.461 * [taylor]: Taking taylor expansion of N in N 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify 1 into 1 3.462 * [backup-simplify]: Simplify (* 1 1) into 1 3.462 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.462 * [backup-simplify]: Simplify 0.5 into 0.5 3.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.463 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.464 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.465 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.465 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.466 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.468 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.470 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 3.470 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.470 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 3.470 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 3.470 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.470 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.470 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.470 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.470 * [taylor]: Taking taylor expansion of N in N 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.471 * [backup-simplify]: Simplify (* 1 1) into 1 3.471 * [backup-simplify]: Simplify (* 1 1) into 1 3.471 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.471 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.471 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.471 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.471 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.471 * [taylor]: Taking taylor expansion of N in N 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 1 into 1 3.472 * [backup-simplify]: Simplify (* 1 1) into 1 3.472 * [backup-simplify]: Simplify (* 1 1) into 1 3.472 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.472 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.476 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.479 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.482 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.486 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.491 * [backup-simplify]: Simplify 0 into 0 3.491 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.491 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 3.491 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 3.491 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.491 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.491 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.491 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.491 * [taylor]: Taking taylor expansion of N in N 3.491 * [backup-simplify]: Simplify 0 into 0 3.491 * [backup-simplify]: Simplify 1 into 1 3.491 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.491 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.491 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.492 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.492 * [taylor]: Taking taylor expansion of N in N 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 1 into 1 3.492 * [backup-simplify]: Simplify (* 1 1) into 1 3.492 * [backup-simplify]: Simplify (* 1 1) into 1 3.493 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.493 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.495 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.495 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.499 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.499 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.503 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.503 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.506 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.511 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.515 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.515 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.516 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 3.516 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 3.516 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.516 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.516 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.516 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.516 * [taylor]: Taking taylor expansion of N in N 3.516 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify 1 into 1 3.516 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.516 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.516 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.516 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.516 * [taylor]: Taking taylor expansion of N in N 3.516 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify 1 into 1 3.517 * [backup-simplify]: Simplify (* 1 1) into 1 3.517 * [backup-simplify]: Simplify (* 1 1) into 1 3.518 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 3.518 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.520 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 3.520 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.523 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.523 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.526 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.530 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.530 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.534 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.534 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.538 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.538 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.539 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.539 * [backup-simplify]: Simplify (- (/ 1.0 N) (/ 0.5 (* N N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.539 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.539 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 3.539 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.539 * [taylor]: Taking taylor expansion of 1.0 in N 3.539 * [backup-simplify]: Simplify 1.0 into 1.0 3.539 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.539 * [taylor]: Taking taylor expansion of N in N 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify 1 into 1 3.540 * [backup-simplify]: Simplify (/ 1 1) into 1 3.540 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.540 * [taylor]: Taking taylor expansion of 0.5 in N 3.540 * [backup-simplify]: Simplify 0.5 into 0.5 3.540 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.540 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.540 * [taylor]: Taking taylor expansion of N in N 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify 1 into 1 3.540 * [backup-simplify]: Simplify (* 1 1) into 1 3.541 * [backup-simplify]: Simplify (/ 1 1) into 1 3.541 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 3.541 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.541 * [taylor]: Taking taylor expansion of 1.0 in N 3.541 * [backup-simplify]: Simplify 1.0 into 1.0 3.541 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.541 * [taylor]: Taking taylor expansion of N in N 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 1 into 1 3.541 * [backup-simplify]: Simplify (/ 1 1) into 1 3.541 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.541 * [taylor]: Taking taylor expansion of 0.5 in N 3.541 * [backup-simplify]: Simplify 0.5 into 0.5 3.541 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.541 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.541 * [taylor]: Taking taylor expansion of N in N 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify (* 1 1) into 1 3.542 * [backup-simplify]: Simplify (/ 1 1) into 1 3.543 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.543 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.544 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.544 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.545 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.547 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.547 * [backup-simplify]: Simplify (- 0) into 0 3.548 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.548 * [backup-simplify]: Simplify 1.0 into 1.0 3.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.549 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 3.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.552 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.552 * [backup-simplify]: Simplify (- 0) into 0 3.552 * [backup-simplify]: Simplify (+ 0 0) into 0 3.552 * [backup-simplify]: Simplify 0 into 0 3.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.554 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.557 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.558 * [backup-simplify]: Simplify (- 0) into 0 3.558 * [backup-simplify]: Simplify (+ 0 0) into 0 3.558 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.560 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.563 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.564 * [backup-simplify]: Simplify (- 0) into 0 3.564 * [backup-simplify]: Simplify (+ 0 0) into 0 3.564 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.566 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.570 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.571 * [backup-simplify]: Simplify (- 0) into 0 3.571 * [backup-simplify]: Simplify (+ 0 0) into 0 3.571 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.574 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.578 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.578 * [backup-simplify]: Simplify (- 0) into 0 3.579 * [backup-simplify]: Simplify (+ 0 0) into 0 3.579 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.582 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.586 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.587 * [backup-simplify]: Simplify (- 0) into 0 3.587 * [backup-simplify]: Simplify (+ 0 0) into 0 3.587 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* (- 0.5) (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.588 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) into (- (* 1.0 N) (* 0.5 (pow N 2))) 3.588 * [approximate]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in (N) around 0 3.588 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 3.588 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.588 * [taylor]: Taking taylor expansion of 1.0 in N 3.588 * [backup-simplify]: Simplify 1.0 into 1.0 3.588 * [taylor]: Taking taylor expansion of N in N 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify 1 into 1 3.588 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.588 * [taylor]: Taking taylor expansion of 0.5 in N 3.589 * [backup-simplify]: Simplify 0.5 into 0.5 3.589 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.589 * [taylor]: Taking taylor expansion of N in N 3.589 * [backup-simplify]: Simplify 0 into 0 3.589 * [backup-simplify]: Simplify 1 into 1 3.589 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 3.589 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.589 * [taylor]: Taking taylor expansion of 1.0 in N 3.589 * [backup-simplify]: Simplify 1.0 into 1.0 3.589 * [taylor]: Taking taylor expansion of N in N 3.589 * [backup-simplify]: Simplify 0 into 0 3.589 * [backup-simplify]: Simplify 1 into 1 3.589 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.589 * [taylor]: Taking taylor expansion of 0.5 in N 3.589 * [backup-simplify]: Simplify 0.5 into 0.5 3.589 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.589 * [taylor]: Taking taylor expansion of N in N 3.589 * [backup-simplify]: Simplify 0 into 0 3.589 * [backup-simplify]: Simplify 1 into 1 3.590 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.590 * [backup-simplify]: Simplify (+ 0 0) into 0 3.590 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.592 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.592 * [backup-simplify]: Simplify 1.0 into 1.0 3.593 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.593 * [backup-simplify]: Simplify (* 1 1) into 1 3.594 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.594 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.595 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.601 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.603 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.604 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.605 * [backup-simplify]: Simplify (- 0) into 0 3.605 * [backup-simplify]: Simplify (+ 0 0) into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.609 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.609 * [backup-simplify]: Simplify (- 0) into 0 3.610 * [backup-simplify]: Simplify (+ 0 0) into 0 3.610 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.614 * [backup-simplify]: Simplify (- 0) into 0 3.614 * [backup-simplify]: Simplify (+ 0 0) into 0 3.614 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.618 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.619 * [backup-simplify]: Simplify (- 0) into 0 3.619 * [backup-simplify]: Simplify (+ 0 0) into 0 3.619 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.624 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.624 * [backup-simplify]: Simplify (- 0) into 0 3.625 * [backup-simplify]: Simplify (+ 0 0) into 0 3.625 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.630 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.630 * [backup-simplify]: Simplify (- 0) into 0 3.631 * [backup-simplify]: Simplify (+ 0 0) into 0 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.632 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) 3.632 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in (N) around 0 3.632 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 3.632 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 3.632 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.632 * [taylor]: Taking taylor expansion of 0.5 in N 3.632 * [backup-simplify]: Simplify 0.5 into 0.5 3.632 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.632 * [taylor]: Taking taylor expansion of N in N 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.632 * [taylor]: Taking taylor expansion of 1.0 in N 3.632 * [backup-simplify]: Simplify 1.0 into 1.0 3.632 * [taylor]: Taking taylor expansion of N in N 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 3.632 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 3.632 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.632 * [taylor]: Taking taylor expansion of 0.5 in N 3.632 * [backup-simplify]: Simplify 0.5 into 0.5 3.632 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.633 * [taylor]: Taking taylor expansion of N in N 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.633 * [taylor]: Taking taylor expansion of 1.0 in N 3.633 * [backup-simplify]: Simplify 1.0 into 1.0 3.633 * [taylor]: Taking taylor expansion of N in N 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.634 * [backup-simplify]: Simplify (+ 0 0) into 0 3.634 * [backup-simplify]: Simplify (- 0) into 0 3.634 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.636 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.636 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.637 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.637 * [backup-simplify]: Simplify (* 1 1) into 1 3.637 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.638 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.639 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.639 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.640 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.641 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.643 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.643 * [backup-simplify]: Simplify (+ 0 0) into 0 3.643 * [backup-simplify]: Simplify (- 0) into 0 3.643 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.645 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.647 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.647 * [backup-simplify]: Simplify (+ 0 0) into 0 3.647 * [backup-simplify]: Simplify (- 0) into 0 3.647 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.650 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.651 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.651 * [backup-simplify]: Simplify (+ 0 0) into 0 3.652 * [backup-simplify]: Simplify (- 0) into 0 3.652 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.654 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.656 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.656 * [backup-simplify]: Simplify (+ 0 0) into 0 3.657 * [backup-simplify]: Simplify (- 0) into 0 3.657 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.660 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.662 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.662 * [backup-simplify]: Simplify (+ 0 0) into 0 3.663 * [backup-simplify]: Simplify (- 0) into 0 3.663 * [backup-simplify]: Simplify 0 into 0 3.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.666 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.668 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.668 * [backup-simplify]: Simplify (+ 0 0) into 0 3.669 * [backup-simplify]: Simplify (- 0) into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.670 * * * [progress]: simplifying candidates 3.674 * [simplify]: Simplifying: (* (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))) (exp (/ 0.3333333333333333 (pow N 3)))) (* (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (/ 0.3333333333333333 (pow N 3)))) (log (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (* (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (+ (* (- (* 1.0 (* N N)) (* N 0.5)) (pow N 3)) (* (* N (* N N)) 0.3333333333333333)) (* (* N (* N N)) (pow N 3)) (+ (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (pow N 3)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) 0.3333333333333333)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (+ (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (pow N 3)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) 0.3333333333333333)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3)) (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)))) (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* 1.0 (* N N)) (* N 0.5)) (* N (* N N)) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (- (/ 0.5 (* N N))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (- (+ (* 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)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.680 * * [simplify]: Extracting # 0 : cost 0 3.681 * * [simplify]: Extracting # 1 : cost 0 3.681 * * [simplify]: Extracting # 2 : cost 0 3.682 * * [simplify]: Extracting # 3 : cost 0 3.682 * * [simplify]: Extracting # 4 : cost 0 3.683 * * [simplify]: Extracting # 5 : cost 0 3.684 * * [simplify]: Extracting # 6 : cost 0 3.684 * * [simplify]: iteration 0 : 210 enodes (cost 1847 ) 3.793 * * [simplify]: Extracting # 0 : cost 0 3.794 * * [simplify]: Extracting # 1 : cost 0 3.795 * * [simplify]: Extracting # 2 : cost 0 3.796 * * [simplify]: Extracting # 3 : cost 0 3.796 * * [simplify]: Extracting # 4 : cost 0 3.797 * * [simplify]: Extracting # 5 : cost 0 3.798 * * [simplify]: iteration 1 : 534 enodes (cost 1627 ) 4.713 * * [simplify]: Extracting # 0 : cost 0 4.721 * * [simplify]: Extracting # 1 : cost 0 4.728 * * [simplify]: Extracting # 2 : cost 0 4.733 * * [simplify]: Extracting # 3 : cost 0 4.741 * * [simplify]: Extracting # 4 : cost 0 4.752 * * [simplify]: iteration 2 : 3960 enodes (cost 1528 ) 6.953 * * [simplify]: Extracting # 0 : cost 0 6.960 * * [simplify]: Extracting # 1 : cost 0 6.967 * * [simplify]: Extracting # 2 : cost 0 6.979 * * [simplify]: Extracting # 3 : cost 0 6.990 * * [simplify]: iteration done: 5000 enodes (cost 1528 ) 6.992 * [simplify]: Simplified to: (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (log (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (pow (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) 3) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (pow N 3) (+ 0.3333333333333333 (* N (- (* 1.0 N) 0.5)))) (pow N 6) (+ (* (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))) 0.3333333333333333) (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (pow N 3))) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))) (pow N 3)) (+ (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (pow N 3)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) 0.3333333333333333)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3)) (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)))) (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (pow 0.5 3) (pow N 6)) (pow (/ 0.5 (* N N)) 3) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (pow (/ 0.5 (* N N)) 3) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (pow N 2)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 3/2)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* N (- (* 1.0 N) 0.5)) (pow N 3) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))) (- (/ 0.5 (* N N))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) 6.994 * * * [progress]: adding candidates to table 7.424 * * [progress]: iteration 4 / 4 7.424 * * * [progress]: picking best candidate 7.430 * * * * [pick]: Picked # 7.430 * * * [progress]: localizing error 7.449 * * * [progress]: generating rewritten candidates 7.449 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 7.473 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 7.503 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 7.521 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 7.841 * * * [progress]: generating series expansions 7.841 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 7.842 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) into (pow (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 1/3) 7.842 * [approximate]: Taking taylor expansion of (pow (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 1/3) in (N) around 0 7.842 * [taylor]: Taking taylor expansion of (pow (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 7.842 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))))) in N 7.842 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))))) in N 7.842 * [taylor]: Taking taylor expansion of 1/3 in N 7.842 * [backup-simplify]: Simplify 1/3 into 1/3 7.842 * [taylor]: Taking taylor expansion of (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))) in N 7.842 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 7.842 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.842 * [taylor]: Taking taylor expansion of 1.0 in N 7.842 * [backup-simplify]: Simplify 1.0 into 1.0 7.842 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.842 * [taylor]: Taking taylor expansion of N in N 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 1 into 1 7.843 * [backup-simplify]: Simplify (/ 1 1) into 1 7.843 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.843 * [taylor]: Taking taylor expansion of 0.5 in N 7.843 * [backup-simplify]: Simplify 0.5 into 0.5 7.843 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.843 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.843 * [taylor]: Taking taylor expansion of N in N 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify 1 into 1 7.843 * [backup-simplify]: Simplify (* 1 1) into 1 7.844 * [backup-simplify]: Simplify (/ 1 1) into 1 7.844 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.845 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.846 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.846 * [backup-simplify]: Simplify (log (- 0.5)) into (log (- 0.5)) 7.848 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log (- 0.5))) into (- (log (- 0.5)) (* 2 (log N))) 7.849 * [backup-simplify]: Simplify (* 1/3 (- (log (- 0.5)) (* 2 (log N)))) into (* 1/3 (- (log (- 0.5)) (* 2 (log N)))) 7.850 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) into (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) 7.850 * [taylor]: Taking taylor expansion of (pow (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 7.850 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))))) in N 7.850 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))))) in N 7.850 * [taylor]: Taking taylor expansion of 1/3 in N 7.850 * [backup-simplify]: Simplify 1/3 into 1/3 7.850 * [taylor]: Taking taylor expansion of (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))) in N 7.850 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 7.850 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.850 * [taylor]: Taking taylor expansion of 1.0 in N 7.850 * [backup-simplify]: Simplify 1.0 into 1.0 7.850 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.850 * [taylor]: Taking taylor expansion of N in N 7.850 * [backup-simplify]: Simplify 0 into 0 7.850 * [backup-simplify]: Simplify 1 into 1 7.851 * [backup-simplify]: Simplify (/ 1 1) into 1 7.851 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.851 * [taylor]: Taking taylor expansion of 0.5 in N 7.851 * [backup-simplify]: Simplify 0.5 into 0.5 7.851 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.851 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.851 * [taylor]: Taking taylor expansion of N in N 7.851 * [backup-simplify]: Simplify 0 into 0 7.851 * [backup-simplify]: Simplify 1 into 1 7.851 * [backup-simplify]: Simplify (* 1 1) into 1 7.851 * [backup-simplify]: Simplify (/ 1 1) into 1 7.851 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.852 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.852 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.853 * [backup-simplify]: Simplify (log (- 0.5)) into (log (- 0.5)) 7.853 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log (- 0.5))) into (- (log (- 0.5)) (* 2 (log N))) 7.854 * [backup-simplify]: Simplify (* 1/3 (- (log (- 0.5)) (* 2 (log N)))) into (* 1/3 (- (log (- 0.5)) (* 2 (log N)))) 7.855 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) into (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) 7.855 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) into (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) 7.856 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.857 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.858 * [backup-simplify]: Simplify (- 0) into 0 7.858 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (- 0.5) 1)))) 1) into -2.0 7.863 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log (- 0.5))) into (- (log (- 0.5)) (* 2 (log N))) 7.864 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (log (- 0.5)) (* 2 (log N))))) into (- 0.6666666666666666) 7.866 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N)))))) 7.867 * [backup-simplify]: Simplify (* -0.6666666666666666 (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N)))))) into (* -0.6666666666666666 (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N)))))) 7.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.868 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 7.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.869 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 7.870 * [backup-simplify]: Simplify (- 0) into 0 7.870 * [backup-simplify]: Simplify (+ 0 0) into 0 7.877 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (- 0.5) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 0.5) 1)))) 2) into (/ -0.5 (pow -0.5 2)) 7.878 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log (- 0.5))) into (- (log (- 0.5)) (* 2 (log N))) 7.881 * [backup-simplify]: Simplify (+ (* 1/3 (/ -0.5 (pow -0.5 2))) (+ (* 0 -2.0) (* 0 (- (log (- 0.5)) (* 2 (log N)))))) into (- (* 0.16666666666666666 (/ 1 (pow -0.5 2)))) 7.894 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (+ (* (/ (pow (- 0.6666666666666666) 2) 2)) (* (/ (pow (- (* 0.16666666666666666 (/ 1 (pow -0.5 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (- 0.2222222222222222 (* 0.16666666666666666 (/ 1 (pow -0.5 2))))) 7.898 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (- 0.2222222222222222 (* 0.16666666666666666 (/ 1 (pow -0.5 2))))) into (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (- 0.2222222222222222 (* 0.16666666666666666 (/ 1 (pow -0.5 2))))) 7.904 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (- 0.2222222222222222 (* 0.16666666666666666 (/ 1 (pow -0.5 2))))) (pow N 2)) (+ (* (* -0.6666666666666666 (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N)))))) N) (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))))) into (- (+ (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (* 0.2222222222222222 (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (pow N 2)))) (+ (* 0.6666666666666666 (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) N)) (* 0.16666666666666666 (/ (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (pow N 2)) (pow -0.5 2))))) 7.905 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N))))) into (pow (- (* 1.0 N) (* 0.5 (pow N 2))) 1/3) 7.905 * [approximate]: Taking taylor expansion of (pow (- (* 1.0 N) (* 0.5 (pow N 2))) 1/3) in (N) around 0 7.905 * [taylor]: Taking taylor expansion of (pow (- (* 1.0 N) (* 0.5 (pow N 2))) 1/3) in N 7.905 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1.0 N) (* 0.5 (pow N 2)))))) in N 7.905 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1.0 N) (* 0.5 (pow N 2))))) in N 7.905 * [taylor]: Taking taylor expansion of 1/3 in N 7.905 * [backup-simplify]: Simplify 1/3 into 1/3 7.905 * [taylor]: Taking taylor expansion of (log (- (* 1.0 N) (* 0.5 (pow N 2)))) in N 7.905 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 7.905 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.905 * [taylor]: Taking taylor expansion of 1.0 in N 7.905 * [backup-simplify]: Simplify 1.0 into 1.0 7.905 * [taylor]: Taking taylor expansion of N in N 7.905 * [backup-simplify]: Simplify 0 into 0 7.905 * [backup-simplify]: Simplify 1 into 1 7.905 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.905 * [taylor]: Taking taylor expansion of 0.5 in N 7.905 * [backup-simplify]: Simplify 0.5 into 0.5 7.905 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.905 * [taylor]: Taking taylor expansion of N in N 7.905 * [backup-simplify]: Simplify 0 into 0 7.905 * [backup-simplify]: Simplify 1 into 1 7.906 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.906 * [backup-simplify]: Simplify (+ 0 0) into 0 7.908 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.908 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.909 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.910 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.910 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.911 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.911 * [taylor]: Taking taylor expansion of (pow (- (* 1.0 N) (* 0.5 (pow N 2))) 1/3) in N 7.911 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1.0 N) (* 0.5 (pow N 2)))))) in N 7.911 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1.0 N) (* 0.5 (pow N 2))))) in N 7.911 * [taylor]: Taking taylor expansion of 1/3 in N 7.911 * [backup-simplify]: Simplify 1/3 into 1/3 7.911 * [taylor]: Taking taylor expansion of (log (- (* 1.0 N) (* 0.5 (pow N 2)))) in N 7.911 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 7.911 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.911 * [taylor]: Taking taylor expansion of 1.0 in N 7.911 * [backup-simplify]: Simplify 1.0 into 1.0 7.911 * [taylor]: Taking taylor expansion of N in N 7.911 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify 1 into 1 7.911 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.911 * [taylor]: Taking taylor expansion of 0.5 in N 7.911 * [backup-simplify]: Simplify 0.5 into 0.5 7.911 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.911 * [taylor]: Taking taylor expansion of N in N 7.911 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify 1 into 1 7.912 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.912 * [backup-simplify]: Simplify (+ 0 0) into 0 7.914 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.914 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.915 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.915 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.916 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.916 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.917 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.918 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.918 * [backup-simplify]: Simplify (* 1 1) into 1 7.919 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.919 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.920 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 1.0 1)))) 1) into -0.5 7.929 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.930 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (* 0 (+ (log 1.0) (log N)))) into (- 0.16666666666666666) 7.934 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.934 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.936 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.937 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.938 * [backup-simplify]: Simplify (- 0) into 0 7.938 * [backup-simplify]: Simplify (+ 0 0) into 0 7.958 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -0.125 (pow 1.0 2)) 7.958 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.961 * [backup-simplify]: Simplify (+ (* 1/3 (/ -0.125 (pow 1.0 2))) (+ (* 0 -0.5) (* 0 (+ (log 1.0) (log N))))) into (- (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 7.974 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log N))))) 7.976 * [backup-simplify]: Simplify (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log N))))) 7.979 * [backup-simplify]: Simplify (+ (* (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (pow (/ 1 N) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (/ 1 N)) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.013888888888888888 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) 7.979 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))))) into (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3)) 7.979 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3)) in (N) around 0 7.979 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3)) in N 7.980 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.980 * [taylor]: Taking taylor expansion of -1 in N 7.980 * [backup-simplify]: Simplify -1 into -1 7.980 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.980 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.980 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3) in N 7.980 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (* 1.0 N))))) in N 7.981 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (* 1.0 N)))) in N 7.981 * [taylor]: Taking taylor expansion of 1/3 in N 7.981 * [backup-simplify]: Simplify 1/3 into 1/3 7.981 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 7.981 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 7.981 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.981 * [taylor]: Taking taylor expansion of 0.5 in N 7.981 * [backup-simplify]: Simplify 0.5 into 0.5 7.981 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.981 * [taylor]: Taking taylor expansion of N in N 7.981 * [backup-simplify]: Simplify 0 into 0 7.981 * [backup-simplify]: Simplify 1 into 1 7.981 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.981 * [taylor]: Taking taylor expansion of 1.0 in N 7.981 * [backup-simplify]: Simplify 1.0 into 1.0 7.981 * [taylor]: Taking taylor expansion of N in N 7.981 * [backup-simplify]: Simplify 0 into 0 7.981 * [backup-simplify]: Simplify 1 into 1 7.981 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.981 * [backup-simplify]: Simplify (+ 0 0) into 0 7.982 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.982 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.983 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.983 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.983 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.984 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.984 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3)) in N 7.984 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.984 * [taylor]: Taking taylor expansion of -1 in N 7.984 * [backup-simplify]: Simplify -1 into -1 7.984 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.985 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.985 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3) in N 7.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (* 1.0 N))))) in N 7.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (* 1.0 N)))) in N 7.985 * [taylor]: Taking taylor expansion of 1/3 in N 7.985 * [backup-simplify]: Simplify 1/3 into 1/3 7.985 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 7.985 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 7.985 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.985 * [taylor]: Taking taylor expansion of 0.5 in N 7.985 * [backup-simplify]: Simplify 0.5 into 0.5 7.985 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.985 * [taylor]: Taking taylor expansion of N in N 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 1 into 1 7.985 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.985 * [taylor]: Taking taylor expansion of 1.0 in N 7.985 * [backup-simplify]: Simplify 1.0 into 1.0 7.985 * [taylor]: Taking taylor expansion of N in N 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 1 into 1 7.985 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.985 * [backup-simplify]: Simplify (+ 0 0) into 0 7.986 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.987 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.987 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.988 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.988 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.988 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.989 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) 7.989 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) 7.990 * [backup-simplify]: Simplify (* 1 1) into 1 7.990 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.991 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.991 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 7.995 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1.0 1)))) 1) into 0.5 7.995 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.996 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (* 0 (+ (log 1.0) (log N)))) into 0.16666666666666666 7.997 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.998 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N)))))) into (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) 7.999 * [backup-simplify]: Simplify (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) 7.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.000 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.000 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.001 * [backup-simplify]: Simplify (+ 0 0) into 0 8.011 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -0.125 (pow 1.0 2)) 8.011 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.014 * [backup-simplify]: Simplify (+ (* 1/3 (/ -0.125 (pow 1.0 2))) (+ (* 0 0.5) (* 0 (+ (log 1.0) (log N))))) into (- (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 8.025 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log N))))) 8.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.031 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log N)))))) (+ (* 0 (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N))))))) into (- (* 0.013888888888888888 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) 8.034 * [backup-simplify]: Simplify (- (* 0.013888888888888888 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) into (- (* 0.013888888888888888 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) 8.041 * [backup-simplify]: Simplify (+ (* (- (* 0.013888888888888888 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N))))))) (pow 1.0 2)))) (pow (/ 1 (- N)) 2)) (+ (* (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* 0.013888888888888888 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) N)))) 8.041 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 8.041 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) into (pow (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 1/3) 8.041 * [approximate]: Taking taylor expansion of (pow (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 1/3) in (N) around 0 8.041 * [taylor]: Taking taylor expansion of (pow (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 8.041 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))))) in N 8.041 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))))) in N 8.041 * [taylor]: Taking taylor expansion of 1/3 in N 8.041 * [backup-simplify]: Simplify 1/3 into 1/3 8.041 * [taylor]: Taking taylor expansion of (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))) in N 8.041 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 8.041 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.041 * [taylor]: Taking taylor expansion of 1.0 in N 8.041 * [backup-simplify]: Simplify 1.0 into 1.0 8.042 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.042 * [taylor]: Taking taylor expansion of N in N 8.042 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify 1 into 1 8.042 * [backup-simplify]: Simplify (/ 1 1) into 1 8.042 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.042 * [taylor]: Taking taylor expansion of 0.5 in N 8.042 * [backup-simplify]: Simplify 0.5 into 0.5 8.042 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.042 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.042 * [taylor]: Taking taylor expansion of N in N 8.042 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify 1 into 1 8.043 * [backup-simplify]: Simplify (* 1 1) into 1 8.043 * [backup-simplify]: Simplify (/ 1 1) into 1 8.043 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.044 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.045 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.045 * [backup-simplify]: Simplify (log (- 0.5)) into (log (- 0.5)) 8.047 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log (- 0.5))) into (- (log (- 0.5)) (* 2 (log N))) 8.048 * [backup-simplify]: Simplify (* 1/3 (- (log (- 0.5)) (* 2 (log N)))) into (* 1/3 (- (log (- 0.5)) (* 2 (log N)))) 8.049 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) into (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) 8.049 * [taylor]: Taking taylor expansion of (pow (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 8.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))))) in N 8.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))))) in N 8.049 * [taylor]: Taking taylor expansion of 1/3 in N 8.049 * [backup-simplify]: Simplify 1/3 into 1/3 8.049 * [taylor]: Taking taylor expansion of (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))) in N 8.049 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 8.049 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.049 * [taylor]: Taking taylor expansion of 1.0 in N 8.049 * [backup-simplify]: Simplify 1.0 into 1.0 8.049 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.049 * [taylor]: Taking taylor expansion of N in N 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify 1 into 1 8.049 * [backup-simplify]: Simplify (/ 1 1) into 1 8.049 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.049 * [taylor]: Taking taylor expansion of 0.5 in N 8.049 * [backup-simplify]: Simplify 0.5 into 0.5 8.050 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.050 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.050 * [taylor]: Taking taylor expansion of N in N 8.050 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify 1 into 1 8.050 * [backup-simplify]: Simplify (* 1 1) into 1 8.050 * [backup-simplify]: Simplify (/ 1 1) into 1 8.051 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.051 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.052 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.053 * [backup-simplify]: Simplify (log (- 0.5)) into (log (- 0.5)) 8.054 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log (- 0.5))) into (- (log (- 0.5)) (* 2 (log N))) 8.055 * [backup-simplify]: Simplify (* 1/3 (- (log (- 0.5)) (* 2 (log N)))) into (* 1/3 (- (log (- 0.5)) (* 2 (log N)))) 8.056 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) into (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) 8.057 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) into (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) 8.058 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.060 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.060 * [backup-simplify]: Simplify (- 0) into 0 8.061 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.068 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (- 0.5) 1)))) 1) into -2.0 8.069 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log (- 0.5))) into (- (log (- 0.5)) (* 2 (log N))) 8.069 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (log (- 0.5)) (* 2 (log N))))) into (- 0.6666666666666666) 8.072 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N)))))) 8.072 * [backup-simplify]: Simplify (* -0.6666666666666666 (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N)))))) into (* -0.6666666666666666 (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N)))))) 8.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.073 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 8.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.078 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 8.078 * [backup-simplify]: Simplify (- 0) into 0 8.078 * [backup-simplify]: Simplify (+ 0 0) into 0 8.086 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (- 0.5) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 0.5) 1)))) 2) into (/ -0.5 (pow -0.5 2)) 8.087 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log (- 0.5))) into (- (log (- 0.5)) (* 2 (log N))) 8.089 * [backup-simplify]: Simplify (+ (* 1/3 (/ -0.5 (pow -0.5 2))) (+ (* 0 -2.0) (* 0 (- (log (- 0.5)) (* 2 (log N)))))) into (- (* 0.16666666666666666 (/ 1 (pow -0.5 2)))) 8.097 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (+ (* (/ (pow (- 0.6666666666666666) 2) 2)) (* (/ (pow (- (* 0.16666666666666666 (/ 1 (pow -0.5 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (- 0.2222222222222222 (* 0.16666666666666666 (/ 1 (pow -0.5 2))))) 8.101 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (- 0.2222222222222222 (* 0.16666666666666666 (/ 1 (pow -0.5 2))))) into (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (- 0.2222222222222222 (* 0.16666666666666666 (/ 1 (pow -0.5 2))))) 8.107 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (- 0.2222222222222222 (* 0.16666666666666666 (/ 1 (pow -0.5 2))))) (pow N 2)) (+ (* (* -0.6666666666666666 (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N)))))) N) (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))))) into (- (+ (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (* 0.2222222222222222 (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (pow N 2)))) (+ (* 0.6666666666666666 (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) N)) (* 0.16666666666666666 (/ (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (pow N 2)) (pow -0.5 2))))) 8.108 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N))))) into (pow (- (* 1.0 N) (* 0.5 (pow N 2))) 1/3) 8.108 * [approximate]: Taking taylor expansion of (pow (- (* 1.0 N) (* 0.5 (pow N 2))) 1/3) in (N) around 0 8.108 * [taylor]: Taking taylor expansion of (pow (- (* 1.0 N) (* 0.5 (pow N 2))) 1/3) in N 8.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1.0 N) (* 0.5 (pow N 2)))))) in N 8.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1.0 N) (* 0.5 (pow N 2))))) in N 8.108 * [taylor]: Taking taylor expansion of 1/3 in N 8.108 * [backup-simplify]: Simplify 1/3 into 1/3 8.108 * [taylor]: Taking taylor expansion of (log (- (* 1.0 N) (* 0.5 (pow N 2)))) in N 8.108 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 8.108 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.108 * [taylor]: Taking taylor expansion of 1.0 in N 8.108 * [backup-simplify]: Simplify 1.0 into 1.0 8.108 * [taylor]: Taking taylor expansion of N in N 8.108 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify 1 into 1 8.108 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.108 * [taylor]: Taking taylor expansion of 0.5 in N 8.108 * [backup-simplify]: Simplify 0.5 into 0.5 8.108 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.108 * [taylor]: Taking taylor expansion of N in N 8.108 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify 1 into 1 8.109 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.109 * [backup-simplify]: Simplify (+ 0 0) into 0 8.111 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.111 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.112 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.112 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.113 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.113 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.113 * [taylor]: Taking taylor expansion of (pow (- (* 1.0 N) (* 0.5 (pow N 2))) 1/3) in N 8.113 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1.0 N) (* 0.5 (pow N 2)))))) in N 8.113 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1.0 N) (* 0.5 (pow N 2))))) in N 8.113 * [taylor]: Taking taylor expansion of 1/3 in N 8.113 * [backup-simplify]: Simplify 1/3 into 1/3 8.113 * [taylor]: Taking taylor expansion of (log (- (* 1.0 N) (* 0.5 (pow N 2)))) in N 8.113 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 8.113 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.113 * [taylor]: Taking taylor expansion of 1.0 in N 8.113 * [backup-simplify]: Simplify 1.0 into 1.0 8.113 * [taylor]: Taking taylor expansion of N in N 8.114 * [backup-simplify]: Simplify 0 into 0 8.114 * [backup-simplify]: Simplify 1 into 1 8.114 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.114 * [taylor]: Taking taylor expansion of 0.5 in N 8.114 * [backup-simplify]: Simplify 0.5 into 0.5 8.114 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.114 * [taylor]: Taking taylor expansion of N in N 8.114 * [backup-simplify]: Simplify 0 into 0 8.114 * [backup-simplify]: Simplify 1 into 1 8.114 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.114 * [backup-simplify]: Simplify (+ 0 0) into 0 8.116 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.116 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.117 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.117 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.118 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.118 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.119 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.120 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.120 * [backup-simplify]: Simplify (* 1 1) into 1 8.120 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.121 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.121 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 1.0 1)))) 1) into -0.5 8.129 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.130 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (* 0 (+ (log 1.0) (log N)))) into (- 0.16666666666666666) 8.133 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.134 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.135 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.137 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.137 * [backup-simplify]: Simplify (- 0) into 0 8.137 * [backup-simplify]: Simplify (+ 0 0) into 0 8.151 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -0.125 (pow 1.0 2)) 8.152 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.154 * [backup-simplify]: Simplify (+ (* 1/3 (/ -0.125 (pow 1.0 2))) (+ (* 0 -0.5) (* 0 (+ (log 1.0) (log N))))) into (- (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 8.166 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log N))))) 8.169 * [backup-simplify]: Simplify (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log N))))) 8.174 * [backup-simplify]: Simplify (+ (* (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (pow (/ 1 N) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (/ 1 N)) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.013888888888888888 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) 8.175 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))))) into (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3)) 8.175 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3)) in (N) around 0 8.175 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3)) in N 8.175 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.175 * [taylor]: Taking taylor expansion of -1 in N 8.175 * [backup-simplify]: Simplify -1 into -1 8.175 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.176 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.176 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3) in N 8.176 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (* 1.0 N))))) in N 8.176 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (* 1.0 N)))) in N 8.176 * [taylor]: Taking taylor expansion of 1/3 in N 8.176 * [backup-simplify]: Simplify 1/3 into 1/3 8.176 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 8.176 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 8.176 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.176 * [taylor]: Taking taylor expansion of 0.5 in N 8.176 * [backup-simplify]: Simplify 0.5 into 0.5 8.176 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.176 * [taylor]: Taking taylor expansion of N in N 8.176 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify 1 into 1 8.176 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.176 * [taylor]: Taking taylor expansion of 1.0 in N 8.176 * [backup-simplify]: Simplify 1.0 into 1.0 8.176 * [taylor]: Taking taylor expansion of N in N 8.176 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 1 into 1 8.177 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.177 * [backup-simplify]: Simplify (+ 0 0) into 0 8.179 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.179 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.180 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.181 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.181 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.182 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.182 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3)) in N 8.182 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.182 * [taylor]: Taking taylor expansion of -1 in N 8.182 * [backup-simplify]: Simplify -1 into -1 8.182 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.183 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.183 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3) in N 8.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (* 1.0 N))))) in N 8.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (* 1.0 N)))) in N 8.183 * [taylor]: Taking taylor expansion of 1/3 in N 8.183 * [backup-simplify]: Simplify 1/3 into 1/3 8.183 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 8.183 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 8.183 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.183 * [taylor]: Taking taylor expansion of 0.5 in N 8.183 * [backup-simplify]: Simplify 0.5 into 0.5 8.183 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.183 * [taylor]: Taking taylor expansion of N in N 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 1 into 1 8.183 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.184 * [taylor]: Taking taylor expansion of 1.0 in N 8.184 * [backup-simplify]: Simplify 1.0 into 1.0 8.184 * [taylor]: Taking taylor expansion of N in N 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 1 into 1 8.184 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.184 * [backup-simplify]: Simplify (+ 0 0) into 0 8.186 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.186 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.187 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.188 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.188 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.189 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.190 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) 8.190 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) 8.191 * [backup-simplify]: Simplify (* 1 1) into 1 8.191 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.192 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.193 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 8.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1.0 1)))) 1) into 0.5 8.200 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.201 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (* 0 (+ (log 1.0) (log N)))) into 0.16666666666666666 8.208 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.210 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N)))))) into (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) 8.211 * [backup-simplify]: Simplify (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) 8.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.212 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.213 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.214 * [backup-simplify]: Simplify (+ 0 0) into 0 8.223 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -0.125 (pow 1.0 2)) 8.223 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.225 * [backup-simplify]: Simplify (+ (* 1/3 (/ -0.125 (pow 1.0 2))) (+ (* 0 0.5) (* 0 (+ (log 1.0) (log N))))) into (- (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 8.231 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log N))))) 8.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.235 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log N)))))) (+ (* 0 (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N))))))) into (- (* 0.013888888888888888 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) 8.236 * [backup-simplify]: Simplify (- (* 0.013888888888888888 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) into (- (* 0.013888888888888888 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) 8.240 * [backup-simplify]: Simplify (+ (* (- (* 0.013888888888888888 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N))))))) (pow 1.0 2)))) (pow (/ 1 (- N)) 2)) (+ (* (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* 0.013888888888888888 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) N)))) 8.240 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 8.240 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) into (pow (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 1/3) 8.240 * [approximate]: Taking taylor expansion of (pow (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 1/3) in (N) around 0 8.240 * [taylor]: Taking taylor expansion of (pow (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 8.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))))) in N 8.240 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))))) in N 8.240 * [taylor]: Taking taylor expansion of 1/3 in N 8.240 * [backup-simplify]: Simplify 1/3 into 1/3 8.240 * [taylor]: Taking taylor expansion of (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))) in N 8.240 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 8.240 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.240 * [taylor]: Taking taylor expansion of 1.0 in N 8.240 * [backup-simplify]: Simplify 1.0 into 1.0 8.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.240 * [taylor]: Taking taylor expansion of N in N 8.240 * [backup-simplify]: Simplify 0 into 0 8.240 * [backup-simplify]: Simplify 1 into 1 8.241 * [backup-simplify]: Simplify (/ 1 1) into 1 8.241 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.241 * [taylor]: Taking taylor expansion of 0.5 in N 8.241 * [backup-simplify]: Simplify 0.5 into 0.5 8.241 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.241 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.241 * [taylor]: Taking taylor expansion of N in N 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 1 into 1 8.241 * [backup-simplify]: Simplify (* 1 1) into 1 8.241 * [backup-simplify]: Simplify (/ 1 1) into 1 8.242 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.242 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.242 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.243 * [backup-simplify]: Simplify (log (- 0.5)) into (log (- 0.5)) 8.244 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log (- 0.5))) into (- (log (- 0.5)) (* 2 (log N))) 8.244 * [backup-simplify]: Simplify (* 1/3 (- (log (- 0.5)) (* 2 (log N)))) into (* 1/3 (- (log (- 0.5)) (* 2 (log N)))) 8.245 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) into (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) 8.245 * [taylor]: Taking taylor expansion of (pow (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 8.245 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))))) in N 8.245 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))))) in N 8.245 * [taylor]: Taking taylor expansion of 1/3 in N 8.245 * [backup-simplify]: Simplify 1/3 into 1/3 8.245 * [taylor]: Taking taylor expansion of (log (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2))))) in N 8.245 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 8.245 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.245 * [taylor]: Taking taylor expansion of 1.0 in N 8.245 * [backup-simplify]: Simplify 1.0 into 1.0 8.245 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.245 * [taylor]: Taking taylor expansion of N in N 8.245 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify 1 into 1 8.245 * [backup-simplify]: Simplify (/ 1 1) into 1 8.245 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.245 * [taylor]: Taking taylor expansion of 0.5 in N 8.245 * [backup-simplify]: Simplify 0.5 into 0.5 8.245 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.245 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.245 * [taylor]: Taking taylor expansion of N in N 8.245 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify 1 into 1 8.246 * [backup-simplify]: Simplify (* 1 1) into 1 8.246 * [backup-simplify]: Simplify (/ 1 1) into 1 8.246 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.246 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.247 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.247 * [backup-simplify]: Simplify (log (- 0.5)) into (log (- 0.5)) 8.248 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log (- 0.5))) into (- (log (- 0.5)) (* 2 (log N))) 8.249 * [backup-simplify]: Simplify (* 1/3 (- (log (- 0.5)) (* 2 (log N)))) into (* 1/3 (- (log (- 0.5)) (* 2 (log N)))) 8.250 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) into (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) 8.250 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) into (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) 8.251 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.252 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.252 * [backup-simplify]: Simplify (- 0) into 0 8.252 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.257 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (- 0.5) 1)))) 1) into -2.0 8.257 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log (- 0.5))) into (- (log (- 0.5)) (* 2 (log N))) 8.258 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (log (- 0.5)) (* 2 (log N))))) into (- 0.6666666666666666) 8.261 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N)))))) 8.262 * [backup-simplify]: Simplify (* -0.6666666666666666 (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N)))))) into (* -0.6666666666666666 (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N)))))) 8.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.263 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 8.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.264 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 8.264 * [backup-simplify]: Simplify (- 0) into 0 8.265 * [backup-simplify]: Simplify (+ 0 0) into 0 8.272 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (- 0.5) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 0.5) 1)))) 2) into (/ -0.5 (pow -0.5 2)) 8.273 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log (- 0.5))) into (- (log (- 0.5)) (* 2 (log N))) 8.275 * [backup-simplify]: Simplify (+ (* 1/3 (/ -0.5 (pow -0.5 2))) (+ (* 0 -2.0) (* 0 (- (log (- 0.5)) (* 2 (log N)))))) into (- (* 0.16666666666666666 (/ 1 (pow -0.5 2)))) 8.282 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (+ (* (/ (pow (- 0.6666666666666666) 2) 2)) (* (/ (pow (- (* 0.16666666666666666 (/ 1 (pow -0.5 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (- 0.2222222222222222 (* 0.16666666666666666 (/ 1 (pow -0.5 2))))) 8.284 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (- 0.2222222222222222 (* 0.16666666666666666 (/ 1 (pow -0.5 2))))) into (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (- 0.2222222222222222 (* 0.16666666666666666 (/ 1 (pow -0.5 2))))) 8.288 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (- 0.2222222222222222 (* 0.16666666666666666 (/ 1 (pow -0.5 2))))) (pow N 2)) (+ (* (* -0.6666666666666666 (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N)))))) N) (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))))) into (- (+ (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (* 0.2222222222222222 (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (pow N 2)))) (+ (* 0.6666666666666666 (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) N)) (* 0.16666666666666666 (/ (* (exp (* 1/3 (- (log (- 0.5)) (* 2 (log N))))) (pow N 2)) (pow -0.5 2))))) 8.288 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N))))) into (pow (- (* 1.0 N) (* 0.5 (pow N 2))) 1/3) 8.288 * [approximate]: Taking taylor expansion of (pow (- (* 1.0 N) (* 0.5 (pow N 2))) 1/3) in (N) around 0 8.288 * [taylor]: Taking taylor expansion of (pow (- (* 1.0 N) (* 0.5 (pow N 2))) 1/3) in N 8.288 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1.0 N) (* 0.5 (pow N 2)))))) in N 8.288 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1.0 N) (* 0.5 (pow N 2))))) in N 8.288 * [taylor]: Taking taylor expansion of 1/3 in N 8.288 * [backup-simplify]: Simplify 1/3 into 1/3 8.288 * [taylor]: Taking taylor expansion of (log (- (* 1.0 N) (* 0.5 (pow N 2)))) in N 8.288 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 8.288 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.288 * [taylor]: Taking taylor expansion of 1.0 in N 8.288 * [backup-simplify]: Simplify 1.0 into 1.0 8.288 * [taylor]: Taking taylor expansion of N in N 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 1 into 1 8.288 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.289 * [taylor]: Taking taylor expansion of 0.5 in N 8.289 * [backup-simplify]: Simplify 0.5 into 0.5 8.289 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.289 * [taylor]: Taking taylor expansion of N in N 8.289 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify 1 into 1 8.289 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.289 * [backup-simplify]: Simplify (+ 0 0) into 0 8.290 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.290 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.290 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.291 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.291 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.292 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.292 * [taylor]: Taking taylor expansion of (pow (- (* 1.0 N) (* 0.5 (pow N 2))) 1/3) in N 8.292 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (* 1.0 N) (* 0.5 (pow N 2)))))) in N 8.292 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (* 1.0 N) (* 0.5 (pow N 2))))) in N 8.292 * [taylor]: Taking taylor expansion of 1/3 in N 8.292 * [backup-simplify]: Simplify 1/3 into 1/3 8.292 * [taylor]: Taking taylor expansion of (log (- (* 1.0 N) (* 0.5 (pow N 2)))) in N 8.292 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 8.292 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.292 * [taylor]: Taking taylor expansion of 1.0 in N 8.292 * [backup-simplify]: Simplify 1.0 into 1.0 8.292 * [taylor]: Taking taylor expansion of N in N 8.292 * [backup-simplify]: Simplify 0 into 0 8.292 * [backup-simplify]: Simplify 1 into 1 8.292 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.292 * [taylor]: Taking taylor expansion of 0.5 in N 8.292 * [backup-simplify]: Simplify 0.5 into 0.5 8.292 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.292 * [taylor]: Taking taylor expansion of N in N 8.292 * [backup-simplify]: Simplify 0 into 0 8.292 * [backup-simplify]: Simplify 1 into 1 8.292 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.293 * [backup-simplify]: Simplify (+ 0 0) into 0 8.293 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.294 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.294 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.294 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.295 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.299 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.300 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.301 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.302 * [backup-simplify]: Simplify (* 1 1) into 1 8.302 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.303 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.303 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 1.0 1)))) 1) into -0.5 8.312 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.312 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (* 0 (+ (log 1.0) (log N)))) into (- 0.16666666666666666) 8.314 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.315 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.315 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.316 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.316 * [backup-simplify]: Simplify (- 0) into 0 8.317 * [backup-simplify]: Simplify (+ 0 0) into 0 8.324 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -0.125 (pow 1.0 2)) 8.324 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.326 * [backup-simplify]: Simplify (+ (* 1/3 (/ -0.125 (pow 1.0 2))) (+ (* 0 -0.5) (* 0 (+ (log 1.0) (log N))))) into (- (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 8.332 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log N))))) 8.335 * [backup-simplify]: Simplify (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log N))))) 8.337 * [backup-simplify]: Simplify (+ (* (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (pow (/ 1 N) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (/ 1 N)) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.013888888888888888 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) 8.338 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))))) into (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3)) 8.338 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3)) in (N) around 0 8.338 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3)) in N 8.338 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.338 * [taylor]: Taking taylor expansion of -1 in N 8.338 * [backup-simplify]: Simplify -1 into -1 8.338 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.339 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.339 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3) in N 8.339 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (* 1.0 N))))) in N 8.339 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (* 1.0 N)))) in N 8.339 * [taylor]: Taking taylor expansion of 1/3 in N 8.339 * [backup-simplify]: Simplify 1/3 into 1/3 8.339 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 8.339 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 8.339 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.339 * [taylor]: Taking taylor expansion of 0.5 in N 8.339 * [backup-simplify]: Simplify 0.5 into 0.5 8.339 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.339 * [taylor]: Taking taylor expansion of N in N 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 1 into 1 8.339 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.339 * [taylor]: Taking taylor expansion of 1.0 in N 8.339 * [backup-simplify]: Simplify 1.0 into 1.0 8.339 * [taylor]: Taking taylor expansion of N in N 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 1 into 1 8.339 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.340 * [backup-simplify]: Simplify (+ 0 0) into 0 8.341 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.341 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.341 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.342 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.342 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.342 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.342 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3)) in N 8.342 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.342 * [taylor]: Taking taylor expansion of -1 in N 8.342 * [backup-simplify]: Simplify -1 into -1 8.343 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.343 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.343 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (* 1.0 N)) 1/3) in N 8.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (* 1.0 N))))) in N 8.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (* 1.0 N)))) in N 8.343 * [taylor]: Taking taylor expansion of 1/3 in N 8.343 * [backup-simplify]: Simplify 1/3 into 1/3 8.343 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 8.343 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 8.343 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.343 * [taylor]: Taking taylor expansion of 0.5 in N 8.343 * [backup-simplify]: Simplify 0.5 into 0.5 8.343 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.343 * [taylor]: Taking taylor expansion of N in N 8.343 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify 1 into 1 8.343 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.343 * [taylor]: Taking taylor expansion of 1.0 in N 8.343 * [backup-simplify]: Simplify 1.0 into 1.0 8.343 * [taylor]: Taking taylor expansion of N in N 8.343 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify 1 into 1 8.344 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.344 * [backup-simplify]: Simplify (+ 0 0) into 0 8.345 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.345 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.345 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.346 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.346 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.346 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.347 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) 8.348 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) 8.349 * [backup-simplify]: Simplify (* 1 1) into 1 8.349 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.350 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.351 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 8.358 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1.0 1)))) 1) into 0.5 8.359 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.360 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (* 0 (+ (log 1.0) (log N)))) into 0.16666666666666666 8.363 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.365 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N)))))) into (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) 8.366 * [backup-simplify]: Simplify (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) 8.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.367 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.369 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.369 * [backup-simplify]: Simplify (+ 0 0) into 0 8.379 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -0.125 (pow 1.0 2)) 8.379 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.381 * [backup-simplify]: Simplify (+ (* 1/3 (/ -0.125 (pow 1.0 2))) (+ (* 0 0.5) (* 0 (+ (log 1.0) (log N))))) into (- (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 8.387 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log N))))) 8.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.391 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (+ (log 1.0) (log N)))))) (+ (* 0 (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N))))))) into (- (* 0.013888888888888888 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) 8.393 * [backup-simplify]: Simplify (- (* 0.013888888888888888 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) into (- (* 0.013888888888888888 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) 8.396 * [backup-simplify]: Simplify (+ (* (- (* 0.013888888888888888 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N))))))) (pow 1.0 2)))) (pow (/ 1 (- N)) 2)) (+ (* (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* 0.013888888888888888 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) N)))) 8.396 * * * * [progress]: [ 4 / 4 ] generating series at (2) 8.397 * [backup-simplify]: Simplify (+ (* (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (/ 0.3333333333333333 (pow N 3))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 8.397 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 8.397 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 8.397 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 8.397 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.397 * [taylor]: Taking taylor expansion of 1.0 in N 8.397 * [backup-simplify]: Simplify 1.0 into 1.0 8.397 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.397 * [taylor]: Taking taylor expansion of N in N 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 1 into 1 8.397 * [backup-simplify]: Simplify (/ 1 1) into 1 8.397 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 8.397 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.397 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.397 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.397 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.397 * [taylor]: Taking taylor expansion of N in N 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 1 into 1 8.398 * [backup-simplify]: Simplify (* 1 1) into 1 8.398 * [backup-simplify]: Simplify (* 1 1) into 1 8.398 * [backup-simplify]: Simplify (/ 1 1) into 1 8.398 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.398 * [taylor]: Taking taylor expansion of 0.5 in N 8.398 * [backup-simplify]: Simplify 0.5 into 0.5 8.398 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.398 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.398 * [taylor]: Taking taylor expansion of N in N 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify 1 into 1 8.399 * [backup-simplify]: Simplify (* 1 1) into 1 8.399 * [backup-simplify]: Simplify (/ 1 1) into 1 8.399 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 8.399 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 8.399 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.399 * [taylor]: Taking taylor expansion of 1.0 in N 8.399 * [backup-simplify]: Simplify 1.0 into 1.0 8.399 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.399 * [taylor]: Taking taylor expansion of N in N 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 1 into 1 8.399 * [backup-simplify]: Simplify (/ 1 1) into 1 8.399 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 8.399 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.399 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.399 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.399 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.399 * [taylor]: Taking taylor expansion of N in N 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 1 into 1 8.402 * [backup-simplify]: Simplify (* 1 1) into 1 8.402 * [backup-simplify]: Simplify (* 1 1) into 1 8.403 * [backup-simplify]: Simplify (/ 1 1) into 1 8.403 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.403 * [taylor]: Taking taylor expansion of 0.5 in N 8.403 * [backup-simplify]: Simplify 0.5 into 0.5 8.403 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.403 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.403 * [taylor]: Taking taylor expansion of N in N 8.403 * [backup-simplify]: Simplify 0 into 0 8.403 * [backup-simplify]: Simplify 1 into 1 8.403 * [backup-simplify]: Simplify (* 1 1) into 1 8.403 * [backup-simplify]: Simplify (/ 1 1) into 1 8.404 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.404 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.404 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.404 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.406 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 8.406 * [backup-simplify]: Simplify (+ 0 0) into 0 8.406 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.407 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.407 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.408 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.408 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.412 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 8.412 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.414 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.414 * [backup-simplify]: Simplify (- 0) into 0 8.415 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.415 * [backup-simplify]: Simplify 1.0 into 1.0 8.416 * [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)))) 8.417 * [backup-simplify]: Simplify (+ (* (* (cbrt (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N))))) (cbrt (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))))) (cbrt (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))))) (/ 0.3333333333333333 (pow (/ 1 N) 3))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 8.417 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 8.417 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 8.417 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.417 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.417 * [taylor]: Taking taylor expansion of 1.0 in N 8.417 * [backup-simplify]: Simplify 1.0 into 1.0 8.417 * [taylor]: Taking taylor expansion of N in N 8.417 * [backup-simplify]: Simplify 0 into 0 8.417 * [backup-simplify]: Simplify 1 into 1 8.417 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.417 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.418 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.418 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.418 * [taylor]: Taking taylor expansion of N in N 8.418 * [backup-simplify]: Simplify 0 into 0 8.418 * [backup-simplify]: Simplify 1 into 1 8.418 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.418 * [taylor]: Taking taylor expansion of 0.5 in N 8.418 * [backup-simplify]: Simplify 0.5 into 0.5 8.418 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.418 * [taylor]: Taking taylor expansion of N in N 8.418 * [backup-simplify]: Simplify 0 into 0 8.418 * [backup-simplify]: Simplify 1 into 1 8.418 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 8.418 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.418 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.418 * [taylor]: Taking taylor expansion of 1.0 in N 8.418 * [backup-simplify]: Simplify 1.0 into 1.0 8.418 * [taylor]: Taking taylor expansion of N in N 8.418 * [backup-simplify]: Simplify 0 into 0 8.418 * [backup-simplify]: Simplify 1 into 1 8.418 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.418 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.418 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.418 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.418 * [taylor]: Taking taylor expansion of N in N 8.418 * [backup-simplify]: Simplify 0 into 0 8.418 * [backup-simplify]: Simplify 1 into 1 8.418 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.418 * [taylor]: Taking taylor expansion of 0.5 in N 8.418 * [backup-simplify]: Simplify 0.5 into 0.5 8.418 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.418 * [taylor]: Taking taylor expansion of N in N 8.418 * [backup-simplify]: Simplify 0 into 0 8.418 * [backup-simplify]: Simplify 1 into 1 8.419 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.420 * [backup-simplify]: Simplify (+ 0 0) into 0 8.420 * [backup-simplify]: Simplify (+ 0 0) into 0 8.420 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.422 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.422 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.422 * [backup-simplify]: Simplify 1.0 into 1.0 8.423 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.424 * [backup-simplify]: Simplify (+ 0 0) into 0 8.424 * [backup-simplify]: Simplify (* 1 1) into 1 8.424 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.425 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.425 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.426 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.427 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.427 * [backup-simplify]: Simplify (* 1 1) into 1 8.428 * [backup-simplify]: Simplify (* 1 1) into 1 8.428 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.429 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.430 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.430 * [backup-simplify]: Simplify (- 0) into 0 8.431 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.431 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.432 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 8.433 * [backup-simplify]: Simplify (+ (* (* (cbrt (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))))) (cbrt (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))))) (cbrt (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))))) (/ 0.3333333333333333 (pow (/ 1 (- N)) 3))) into (- (+ (* 0.5 (* (pow (cbrt -1) 3) (pow N 2))) (* 1.0 (* (pow (cbrt -1) 3) N))) (* 0.3333333333333333 (pow N 3))) 8.433 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (* (pow (cbrt -1) 3) (pow N 2))) (* 1.0 (* (pow (cbrt -1) 3) N))) (* 0.3333333333333333 (pow N 3))) in (N) around 0 8.434 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (pow (cbrt -1) 3) (pow N 2))) (* 1.0 (* (pow (cbrt -1) 3) N))) (* 0.3333333333333333 (pow N 3))) in N 8.434 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (cbrt -1) 3) (pow N 2))) (* 1.0 (* (pow (cbrt -1) 3) N))) in N 8.434 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (cbrt -1) 3) (pow N 2))) in N 8.434 * [taylor]: Taking taylor expansion of 0.5 in N 8.434 * [backup-simplify]: Simplify 0.5 into 0.5 8.434 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (pow N 2)) in N 8.434 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in N 8.434 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.434 * [taylor]: Taking taylor expansion of -1 in N 8.434 * [backup-simplify]: Simplify -1 into -1 8.434 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.435 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.435 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.435 * [taylor]: Taking taylor expansion of N in N 8.435 * [backup-simplify]: Simplify 0 into 0 8.435 * [backup-simplify]: Simplify 1 into 1 8.435 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (cbrt -1) 3) N)) in N 8.435 * [taylor]: Taking taylor expansion of 1.0 in N 8.435 * [backup-simplify]: Simplify 1.0 into 1.0 8.435 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) N) in N 8.435 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in N 8.435 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.435 * [taylor]: Taking taylor expansion of -1 in N 8.435 * [backup-simplify]: Simplify -1 into -1 8.435 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.436 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.436 * [taylor]: Taking taylor expansion of N in N 8.436 * [backup-simplify]: Simplify 0 into 0 8.436 * [backup-simplify]: Simplify 1 into 1 8.436 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.436 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.436 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.436 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.436 * [taylor]: Taking taylor expansion of N in N 8.436 * [backup-simplify]: Simplify 0 into 0 8.436 * [backup-simplify]: Simplify 1 into 1 8.436 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (pow (cbrt -1) 3) (pow N 2))) (* 1.0 (* (pow (cbrt -1) 3) N))) (* 0.3333333333333333 (pow N 3))) in N 8.436 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (cbrt -1) 3) (pow N 2))) (* 1.0 (* (pow (cbrt -1) 3) N))) in N 8.436 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (cbrt -1) 3) (pow N 2))) in N 8.436 * [taylor]: Taking taylor expansion of 0.5 in N 8.436 * [backup-simplify]: Simplify 0.5 into 0.5 8.436 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (pow N 2)) in N 8.436 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in N 8.436 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.436 * [taylor]: Taking taylor expansion of -1 in N 8.436 * [backup-simplify]: Simplify -1 into -1 8.436 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.437 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.437 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.437 * [taylor]: Taking taylor expansion of N in N 8.437 * [backup-simplify]: Simplify 0 into 0 8.437 * [backup-simplify]: Simplify 1 into 1 8.437 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (cbrt -1) 3) N)) in N 8.437 * [taylor]: Taking taylor expansion of 1.0 in N 8.437 * [backup-simplify]: Simplify 1.0 into 1.0 8.437 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) N) in N 8.437 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in N 8.437 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.437 * [taylor]: Taking taylor expansion of -1 in N 8.437 * [backup-simplify]: Simplify -1 into -1 8.437 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.438 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.438 * [taylor]: Taking taylor expansion of N in N 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify 1 into 1 8.438 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.438 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.438 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.438 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.438 * [taylor]: Taking taylor expansion of N in N 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify 1 into 1 8.439 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 8.440 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 8.440 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) 0) into 0 8.441 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.441 * [backup-simplify]: Simplify (+ 0 0) into 0 8.441 * [backup-simplify]: Simplify (+ 0 0) into 0 8.441 * [backup-simplify]: Simplify 0 into 0 8.442 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 8.442 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 8.444 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 1) (* 0 0)) into (- 1) 8.445 * [backup-simplify]: Simplify (+ (* 1.0 (- 1)) (* 0 0)) into (- 1.0) 8.446 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 8.446 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0) 8.447 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.447 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 8.449 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 8.449 * [backup-simplify]: Simplify (* 1 1) into 1 8.450 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) 1) into -1 8.450 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.452 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 8.453 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 8.453 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 1) (* 0 0))) into 0 8.454 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 (- 1)) (* 0 0))) into 0 8.454 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 8.455 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 8.455 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.456 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 8.457 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 8.457 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (* 0 1)) into 0 8.458 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 -1)) into 0 8.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.460 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 8.461 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 8.463 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.464 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 (- 1)) (* 0 0)))) into 0 8.464 * [backup-simplify]: Simplify (+ 0 0) into 0 8.465 * [backup-simplify]: Simplify (* 1 1) into 1 8.465 * [backup-simplify]: Simplify (* 1 1) into 1 8.466 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.466 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.467 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 8.467 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.469 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 8.469 * * * [progress]: simplifying candidates 8.477 * [simplify]: Simplifying: (log (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt 1) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N))))) (cbrt (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N))))) (cbrt (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N))) (cbrt (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N))) (cbrt (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N))))) (cbrt (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N))))) (cbrt (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N))) (cbrt (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N))) (cbrt 1) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (* 1.0 (* N N)) (* N 0.5))) (cbrt (* N (* N N))) (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (cbrt (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (log (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (sqrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt 1) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N))))) (cbrt (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N))))) (cbrt (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N))) (cbrt (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N))) (cbrt (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N))))) (cbrt (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N))))) (cbrt (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N))) (cbrt (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N))) (cbrt 1) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (* 1.0 (* N N)) (* N 0.5))) (cbrt (* N (* N N))) (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (cbrt (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (log (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (cbrt (- (/ 1.0 N) 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(/ 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)))) 8.502 * * [simplify]: Extracting # 0 : cost 0 8.502 * * [simplify]: Extracting # 1 : cost 0 8.504 * * [simplify]: Extracting # 2 : cost 0 8.505 * * [simplify]: Extracting # 3 : cost 0 8.506 * * [simplify]: Extracting # 4 : cost 0 8.508 * * [simplify]: Extracting # 5 : cost 0 8.509 * * [simplify]: Extracting # 6 : cost 0 8.511 * * [simplify]: Extracting # 7 : cost 0 8.512 * * [simplify]: Extracting # 8 : cost 0 8.514 * * [simplify]: Extracting # 9 : cost 0 8.521 * * [simplify]: Extracting # 10 : cost 0 8.523 * * [simplify]: Extracting # 11 : cost 0 8.524 * * [simplify]: Extracting # 12 : cost 0 8.526 * * [simplify]: Extracting # 13 : cost 0 8.527 * * [simplify]: iteration 0 : 475 enodes (cost 10453 ) 8.746 * * [simplify]: Extracting # 0 : cost 0 8.751 * * [simplify]: Extracting # 1 : cost 0 8.753 * * [simplify]: Extracting # 2 : cost 0 8.756 * * [simplify]: Extracting # 3 : cost 0 8.758 * * [simplify]: Extracting # 4 : cost 0 8.760 * * [simplify]: Extracting # 5 : cost 0 8.770 * * [simplify]: Extracting # 6 : cost 0 8.772 * * [simplify]: iteration 1 : 1167 enodes (cost 9636 ) 9.350 * * [simplify]: Extracting # 0 : cost 0 9.353 * * [simplify]: Extracting # 1 : cost 0 9.360 * * [simplify]: Extracting # 2 : cost 0 9.365 * * [simplify]: Extracting # 3 : cost 0 9.370 * * [simplify]: Extracting # 4 : cost 0 9.374 * * [simplify]: Extracting # 5 : cost 0 9.379 * * [simplify]: Extracting # 6 : cost 0 9.384 * * [simplify]: iteration 2 : 3794 enodes (cost 8470 ) 10.897 * * [simplify]: Extracting # 0 : cost 0 10.915 * * [simplify]: Extracting # 1 : cost 0 10.927 * * [simplify]: Extracting # 2 : cost 0 10.939 * * [simplify]: Extracting # 3 : cost 0 10.945 * * [simplify]: Extracting # 4 : cost 0 10.951 * * [simplify]: iteration done: 5001 enodes (cost 8413 ) 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0.3333333333333333 (* (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (* (* (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (pow N 3))) (* (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))) (* (pow N 3) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (+ (* 0.3333333333333333 (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (* (* (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (pow N 3))) (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (pow N 3) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (+ (* (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) N) 0.3333333333333333) (* (cbrt (* N (- (* 1.0 N) 0.5))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (pow N 3))))) (* N (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (pow N 3))) (+ (* 0.3333333333333333 (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (* (* (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (pow N 3))) (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (pow N 3) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (+ (* (* (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (* (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N))))) 0.3333333333333333)) (* (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (+ (* (* (pow N 3) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (* N (- (* 1.0 N) 0.5))))) (cbrt (* N (- (* 1.0 N) 0.5)))) (* 0.3333333333333333 (* N N))) (* (* N N) (pow N 3)) (+ (* 0.3333333333333333 (* N (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (* (* (* (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (* N (- (* 1.0 N) 0.5)))) (pow N 3))) (* (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))) (* (pow N 3) N)) (+ (* (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) N) 0.3333333333333333) (* (cbrt (* N (- (* 1.0 N) 0.5))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (pow N 3))))) (* N (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (pow N 3))) (+ (* 0.3333333333333333 (* N (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (* (* (* (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (* N (- (* 1.0 N) 0.5)))) (pow N 3))) (* (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))) (* (pow N 3) N)) (+ (* 0.3333333333333333 (* (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (* (* (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (pow N 3))) (* (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))) (* (pow N 3) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (+ (* 0.3333333333333333 (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (* (* (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (pow N 3))) (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (pow N 3) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (+ (* (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) N) 0.3333333333333333) (* (cbrt (* N (- (* 1.0 N) 0.5))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (pow N 3))))) (* N (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (pow N 3))) (+ (* 0.3333333333333333 (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (* (* (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (pow N 3))) (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (pow N 3) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (+ (* (* (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (* (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N))))) 0.3333333333333333)) (* (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (+ (* N 0.3333333333333333) (* (cbrt (* N (- (* 1.0 N) 0.5))) (* (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)))) (* (pow N 3) N) (+ (* (* (* (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (* (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))) 0.3333333333333333)) (* (pow N 3) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N))))) (+ (* (* (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) 0.3333333333333333)) (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (pow N 3)) (+ (* (* (pow N 3) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (* N (- (* 1.0 N) 0.5))))) (cbrt (* N (- (* 1.0 N) 0.5)))) (* 0.3333333333333333 (* N N))) (* (* N N) (pow N 3)) (+ (* 0.3333333333333333 (* N (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (* (* (* (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (* N (- (* 1.0 N) 0.5)))) (pow N 3))) (* (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))) (* (pow N 3) N)) (+ (* (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) N) 0.3333333333333333) (* (cbrt (* N (- (* 1.0 N) 0.5))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (pow N 3))))) (* N (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (pow N 3))) (+ (* 0.3333333333333333 (* N (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (* (* (* (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (* N (- (* 1.0 N) 0.5)))) (pow N 3))) (* (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))) (* (pow N 3) N)) (+ (* 0.3333333333333333 (* (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (* (* (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (pow N 3))) (* (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))) (* (pow N 3) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (+ (* 0.3333333333333333 (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (* (* (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (pow N 3))) (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (pow N 3) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (+ (* (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) N) 0.3333333333333333) (* (cbrt (* N (- (* 1.0 N) 0.5))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (pow N 3))))) (* N (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (pow N 3))) (+ (* 0.3333333333333333 (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (* (* (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (pow N 3))) (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (pow N 3) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))))) (+ (* (* (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (* (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N))))) 0.3333333333333333)) (* (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (+ (* N 0.3333333333333333) (* (cbrt (* N (- (* 1.0 N) 0.5))) (* (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)))) (* (pow N 3) N) (+ (* (* (* (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (* (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))) 0.3333333333333333)) (* (pow N 3) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N))))) (+ (* (* (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) 0.3333333333333333)) (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (pow N 3)) (+ (* N 0.3333333333333333) (* (cbrt (* N (- (* 1.0 N) 0.5))) (* (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)))) (* (pow N 3) N) (+ (* (* (* (cbrt (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (* (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))) 0.3333333333333333)) (* (pow N 3) (cbrt (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N))))) (+ (* (* (* (cbrt (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) 0.3333333333333333)) (* (cbrt (+ (/ 1.0 N) (/ 0.5 (* N N)))) (pow N 3)) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)))) (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (- (+ (cbrt (exp (- (log (- 0.5)) (* 2 (log N))))) (- (* 0.2222222222222222 (* (cbrt (exp (- (log (- 0.5)) (* 2 (log N))))) (* N N))) (* (* (cbrt (exp (- (log (- 0.5)) (* 2 (log N))))) 0.6666666666666666) N))) (/ (* (* (cbrt (exp (- (log (- 0.5)) (* 2 (log N))))) (* N N)) 0.16666666666666666) (pow -0.5 2))) (- (+ (* 0.013888888888888888 (/ (cbrt (exp (- (log 1.0) (log N)))) (* N N))) (- (cbrt (exp (- (log 1.0) (log N)))) (* (/ 0.041666666666666664 (pow 1.0 2)) (/ (cbrt (exp (- (log 1.0) (log N)))) (* N N))))) (/ (* 0.16666666666666666 (cbrt (exp (- (log 1.0) (log N))))) N)) (- (- (+ (* (/ 0.013888888888888888 N) (/ (* (pow (/ -1 N) 1/3) (pow 1.0 1/3)) (/ N (cbrt -1)))) (* (cbrt -1) (* (pow (/ -1 N) 1/3) (pow 1.0 1/3)))) (/ (* 0.041666666666666664 (cbrt -1)) (* (/ (* 1.0 N) (pow 1.0 1/3)) (/ (* 1.0 N) (pow (/ -1 N) 1/3))))) (/ (* 0.16666666666666666 (* (cbrt -1) (* (pow (/ -1 N) 1/3) (pow 1.0 1/3)))) N)) (- (+ (cbrt (exp (- (log (- 0.5)) (* 2 (log N))))) (- (* 0.2222222222222222 (* (cbrt (exp (- (log (- 0.5)) (* 2 (log N))))) (* N N))) (* (* (cbrt (exp (- (log (- 0.5)) (* 2 (log N))))) 0.6666666666666666) N))) (/ (* (* (cbrt (exp (- (log (- 0.5)) (* 2 (log N))))) (* N N)) 0.16666666666666666) (pow -0.5 2))) (- (+ (* 0.013888888888888888 (/ (cbrt (exp (- (log 1.0) (log N)))) (* N N))) (- (cbrt (exp (- (log 1.0) (log N)))) (* (/ 0.041666666666666664 (pow 1.0 2)) (/ (cbrt (exp (- (log 1.0) (log N)))) (* N N))))) (/ (* 0.16666666666666666 (cbrt (exp (- (log 1.0) (log N))))) N)) (- (- (+ (* (/ 0.013888888888888888 N) (/ (* (pow (/ -1 N) 1/3) (pow 1.0 1/3)) (/ N (cbrt -1)))) (* (cbrt -1) (* (pow (/ -1 N) 1/3) (pow 1.0 1/3)))) (/ (* 0.041666666666666664 (cbrt -1)) (* (/ (* 1.0 N) (pow 1.0 1/3)) (/ (* 1.0 N) (pow (/ -1 N) 1/3))))) (/ (* 0.16666666666666666 (* (cbrt -1) (* (pow (/ -1 N) 1/3) (pow 1.0 1/3)))) N)) (- (+ (cbrt (exp (- (log (- 0.5)) (* 2 (log N))))) (- (* 0.2222222222222222 (* (cbrt (exp (- (log (- 0.5)) (* 2 (log N))))) (* N N))) (* (* (cbrt (exp (- (log (- 0.5)) (* 2 (log N))))) 0.6666666666666666) N))) (/ (* (* (cbrt (exp (- (log (- 0.5)) (* 2 (log N))))) (* N N)) 0.16666666666666666) (pow -0.5 2))) (- (+ (* 0.013888888888888888 (/ (cbrt (exp (- (log 1.0) (log N)))) (* N N))) (- (cbrt (exp (- (log 1.0) (log N)))) (* (/ 0.041666666666666664 (pow 1.0 2)) (/ (cbrt (exp (- (log 1.0) (log N)))) (* N N))))) (/ (* 0.16666666666666666 (cbrt (exp (- (log 1.0) (log N))))) N)) (- (- (+ (* (/ 0.013888888888888888 N) (/ (* (pow (/ -1 N) 1/3) (pow 1.0 1/3)) (/ N (cbrt -1)))) (* (cbrt -1) (* (pow (/ -1 N) 1/3) (pow 1.0 1/3)))) (/ (* 0.041666666666666664 (cbrt -1)) (* (/ (* 1.0 N) (pow 1.0 1/3)) (/ (* 1.0 N) (pow (/ -1 N) 1/3))))) (/ (* 0.16666666666666666 (* (cbrt -1) (* (pow (/ -1 N) 1/3) (pow 1.0 1/3)))) N)) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) 10.957 * * * [progress]: adding candidates to table 11.593 * [progress]: [Phase 3 of 3] Extracting. 11.593 * * [regime]: Finding splitpoints for: (# # # #) 11.595 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.595 * * * * [regimes]: Trying to branch on N from (# # # #) 11.631 * * * [regime]: Found split indices: #