25.164 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.090 * * * [progress]: [2/2] Setting up program. 0.094 * [progress]: [Phase 2 of 3] Improving. 0.094 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.094 * * [simplify]: Extracting # 0 : cost 0 0.094 * * [simplify]: Extracting # 1 : cost 0 0.094 * * [simplify]: Extracting # 2 : cost 0 0.094 * * [simplify]: Extracting # 3 : cost 0 0.094 * * [simplify]: Extracting # 4 : cost 0 0.094 * * [simplify]: Extracting # 5 : cost 0 0.094 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.096 * * [simplify]: Extracting # 0 : cost 0 0.096 * * [simplify]: Extracting # 1 : cost 0 0.096 * * [simplify]: Extracting # 2 : cost 0 0.096 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.099 * * [simplify]: Extracting # 0 : cost 0 0.099 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.101 * * [simplify]: Extracting # 0 : cost 0 0.102 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.102 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.102 * * [progress]: iteration 1 / 4 0.102 * * * [progress]: picking best candidate 0.106 * * * * [pick]: Picked # 0.106 * * * [progress]: localizing error 0.123 * * * [progress]: generating rewritten candidates 0.123 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.129 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.143 * * * [progress]: generating series expansions 0.143 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.143 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.143 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.143 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.143 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [taylor]: Taking taylor expansion of 1.0 in N 0.143 * [backup-simplify]: Simplify 1.0 into 1.0 0.156 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.156 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.156 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.156 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.156 * [taylor]: Taking taylor expansion of N in N 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of 1.0 in N 0.157 * [backup-simplify]: Simplify 1.0 into 1.0 0.157 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.157 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.158 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.158 * [backup-simplify]: Simplify (+ 1 0) into 1 0.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.162 * [backup-simplify]: Simplify 1.0 into 1.0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [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)) 0.169 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.171 * [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)))) 0.171 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.171 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.171 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of 1.0 in N 0.171 * [backup-simplify]: Simplify 1.0 into 1.0 0.171 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (log 1) into 0 0.172 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.173 * [backup-simplify]: Simplify (log 1) into 0 0.173 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.173 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.178 * [backup-simplify]: Simplify 1.0 into 1.0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.185 * [backup-simplify]: Simplify -0.5 into -0.5 0.185 * [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)))) 0.185 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.185 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.185 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.185 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.185 * [taylor]: Taking taylor expansion of 1.0 in N 0.185 * [backup-simplify]: Simplify 1.0 into 1.0 0.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [backup-simplify]: Simplify (- 1) into -1 0.186 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.187 * [backup-simplify]: Simplify (log -1) into (log -1) 0.187 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.187 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.187 * [taylor]: Taking taylor expansion of 1.0 in N 0.187 * [backup-simplify]: Simplify 1.0 into 1.0 0.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.187 * [taylor]: Taking taylor expansion of N in N 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [backup-simplify]: Simplify (- 1) into -1 0.187 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.188 * [backup-simplify]: Simplify (log -1) into (log -1) 0.188 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.189 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.196 * [backup-simplify]: Simplify -1.0 into -1.0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [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 0.209 * [backup-simplify]: Simplify -0.5 into -0.5 0.210 * [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)))) 0.210 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.210 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.210 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.210 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.210 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.210 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.210 * [taylor]: Taking taylor expansion of N in N 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [taylor]: Taking taylor expansion of 1.0 in N 0.210 * [backup-simplify]: Simplify 1.0 into 1.0 0.211 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.211 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.211 * [taylor]: Taking taylor expansion of (log N) in N 0.211 * [taylor]: Taking taylor expansion of N in N 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (log 1) into 0 0.211 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.211 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.212 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.212 * [taylor]: Taking taylor expansion of N in N 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of 1.0 in N 0.212 * [backup-simplify]: Simplify 1.0 into 1.0 0.212 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.212 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.212 * [taylor]: Taking taylor expansion of (log N) in N 0.212 * [taylor]: Taking taylor expansion of N in N 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (log 1) into 0 0.213 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.213 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.214 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.214 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.215 * [backup-simplify]: Simplify (+ 1 0) into 1 0.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.221 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.222 * [backup-simplify]: Simplify 1.0 into 1.0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [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)) 0.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.238 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.241 * [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))) 0.242 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.242 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.242 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.242 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 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 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [taylor]: Taking taylor expansion of 1.0 in N 0.242 * [backup-simplify]: Simplify 1.0 into 1.0 0.243 * [backup-simplify]: Simplify (+ 1 0) into 1 0.243 * [backup-simplify]: Simplify (log 1) into 0 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 N in N 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [backup-simplify]: Simplify (log 1) into 0 0.244 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.244 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.244 * [taylor]: Taking taylor expansion of (/ 1 N) in N 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.244 * [backup-simplify]: Simplify 1.0 into 1.0 0.245 * [backup-simplify]: Simplify (+ 1 0) into 1 0.245 * [backup-simplify]: Simplify (log 1) into 0 0.245 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.245 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.245 * [taylor]: Taking taylor expansion of N in N 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [backup-simplify]: Simplify (log 1) into 0 0.246 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.247 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.247 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.247 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.256 * [backup-simplify]: Simplify 1.0 into 1.0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [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 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.272 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [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 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [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 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.307 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.309 * [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)))) 0.309 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.309 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.309 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.309 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.309 * [taylor]: Taking taylor expansion of 1.0 in N 0.310 * [backup-simplify]: Simplify 1.0 into 1.0 0.310 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.310 * [taylor]: Taking taylor expansion of N in N 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [backup-simplify]: Simplify (- 1) into -1 0.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.311 * [backup-simplify]: Simplify (log -1) into (log -1) 0.311 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.312 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.312 * [taylor]: Taking taylor expansion of -1 in N 0.312 * [backup-simplify]: Simplify -1 into -1 0.312 * [taylor]: Taking taylor expansion of N in N 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (/ -1 1) into -1 0.313 * [backup-simplify]: Simplify (log -1) into (log -1) 0.313 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.313 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.313 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.313 * [taylor]: Taking taylor expansion of 1.0 in N 0.313 * [backup-simplify]: Simplify 1.0 into 1.0 0.313 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.313 * [taylor]: Taking taylor expansion of N in N 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [backup-simplify]: Simplify (- 1) into -1 0.314 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.314 * [backup-simplify]: Simplify (log -1) into (log -1) 0.314 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.314 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.314 * [taylor]: Taking taylor expansion of -1 in N 0.315 * [backup-simplify]: Simplify -1 into -1 0.315 * [taylor]: Taking taylor expansion of N in N 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ -1 1) into -1 0.315 * [backup-simplify]: Simplify (log -1) into (log -1) 0.316 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.317 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.317 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.318 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.331 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [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 0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.348 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [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 0.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [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 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.366 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.368 * [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)))) 0.368 * * * [progress]: simplifying candidates 0.369 * [simplify]: Simplifying: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.370 * * [simplify]: Extracting # 0 : cost 0 0.370 * * [simplify]: Extracting # 1 : cost 0 0.370 * * [simplify]: Extracting # 2 : cost 0 0.370 * * [simplify]: Extracting # 3 : cost 0 0.370 * * [simplify]: Extracting # 4 : cost 0 0.370 * * [simplify]: Extracting # 5 : cost 0 0.370 * * [simplify]: Extracting # 6 : cost 0 0.370 * * [simplify]: Extracting # 7 : cost 0 0.371 * * [simplify]: iteration 0 : 101 enodes (cost 510 ) 0.398 * * [simplify]: Extracting # 0 : cost 0 0.399 * * [simplify]: Extracting # 1 : cost 0 0.399 * * [simplify]: Extracting # 2 : cost 0 0.399 * * [simplify]: Extracting # 3 : cost 0 0.400 * * [simplify]: Extracting # 4 : cost 0 0.400 * * [simplify]: iteration 1 : 213 enodes (cost 488 ) 0.480 * * [simplify]: Extracting # 0 : cost 0 0.481 * * [simplify]: Extracting # 1 : cost 0 0.481 * * [simplify]: Extracting # 2 : cost 0 0.482 * * [simplify]: Extracting # 3 : cost 0 0.482 * * [simplify]: Extracting # 4 : cost 0 0.483 * * [simplify]: iteration 2 : 462 enodes (cost 445 ) 0.645 * * [simplify]: Extracting # 0 : cost 0 0.647 * * [simplify]: Extracting # 1 : cost 0 0.649 * * [simplify]: Extracting # 2 : cost 0 0.652 * * [simplify]: Extracting # 3 : cost 0 0.654 * * [simplify]: Extracting # 4 : cost 0 0.665 * * [simplify]: iteration 3 : 1063 enodes (cost 443 ) 1.593 * * [simplify]: Extracting # 0 : cost 0 1.599 * * [simplify]: Extracting # 1 : cost 0 1.604 * * [simplify]: Extracting # 2 : cost 0 1.609 * * [simplify]: Extracting # 3 : cost 0 1.613 * * [simplify]: Extracting # 4 : cost 0 1.618 * * [simplify]: iteration 4 : 2574 enodes (cost 438 ) 3.305 * * [simplify]: Extracting # 0 : cost 0 3.311 * * [simplify]: Extracting # 1 : cost 0 3.316 * * [simplify]: Extracting # 2 : cost 0 3.321 * * [simplify]: Extracting # 3 : cost 0 3.325 * * [simplify]: Extracting # 4 : cost 0 3.333 * * [simplify]: iteration done: 5001 enodes (cost 426 ) 3.333 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* 1.0 (- 1.0 N)) (* N N))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (+ (log (+ N 1.0)) (log N)) (log (+ N 1.0))) (* (log N) (log N))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (+ (* 1.0 (- 1.0 N)) (* N N)))) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (log 1.0) (* N (- (/ (* 1/2 N) (* 1.0 1.0)) 1.0))) (+ (log N) (/ (- 1.0 (/ 0.5 N)) N)) (+ (log N) (/ (- 1.0 (/ 0.5 N)) N)) (+ (- (log 1.0) (log N)) (* N (- 1.0 (* 1/2 (/ N (* 1.0 1.0)))))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) 3.334 * * * [progress]: adding candidates to table 3.492 * * [progress]: iteration 2 / 4 3.492 * * * [progress]: picking best candidate 3.497 * * * * [pick]: Picked # 3.497 * * * [progress]: localizing error 3.518 * * * [progress]: generating rewritten candidates 3.518 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.667 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.681 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.717 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.746 * * * [progress]: generating series expansions 3.746 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.747 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.747 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.747 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 3.747 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 3.747 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.747 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.747 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.747 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.747 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.747 * [taylor]: Taking taylor expansion of N in N 3.747 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify 1 into 1 3.748 * [backup-simplify]: Simplify (* 1 1) into 1 3.748 * [backup-simplify]: Simplify (* 1 1) into 1 3.748 * [backup-simplify]: Simplify (/ 1 1) into 1 3.748 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.748 * [taylor]: Taking taylor expansion of 1.0 in N 3.749 * [backup-simplify]: Simplify 1.0 into 1.0 3.749 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.749 * [taylor]: Taking taylor expansion of N in N 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify 1 into 1 3.749 * [backup-simplify]: Simplify (/ 1 1) into 1 3.749 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.749 * [taylor]: Taking taylor expansion of 0.5 in N 3.749 * [backup-simplify]: Simplify 0.5 into 0.5 3.749 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.749 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.749 * [taylor]: Taking taylor expansion of N in N 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify 1 into 1 3.750 * [backup-simplify]: Simplify (* 1 1) into 1 3.750 * [backup-simplify]: Simplify (/ 1 1) into 1 3.750 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 3.750 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 3.750 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.750 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.750 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.750 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.750 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.750 * [taylor]: Taking taylor expansion of N in N 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (* 1 1) into 1 3.751 * [backup-simplify]: Simplify (* 1 1) into 1 3.751 * [backup-simplify]: Simplify (/ 1 1) into 1 3.751 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.751 * [taylor]: Taking taylor expansion of 1.0 in N 3.751 * [backup-simplify]: Simplify 1.0 into 1.0 3.751 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.751 * [taylor]: Taking taylor expansion of N in N 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify 1 into 1 3.752 * [backup-simplify]: Simplify (/ 1 1) into 1 3.752 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.752 * [taylor]: Taking taylor expansion of 0.5 in N 3.752 * [backup-simplify]: Simplify 0.5 into 0.5 3.752 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.752 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.752 * [taylor]: Taking taylor expansion of N in N 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify 1 into 1 3.752 * [backup-simplify]: Simplify (* 1 1) into 1 3.753 * [backup-simplify]: Simplify (/ 1 1) into 1 3.753 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.754 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.754 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.754 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.757 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.757 * [backup-simplify]: Simplify (+ 0 0) into 0 3.758 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.758 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.759 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.759 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.763 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.763 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.764 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.766 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.766 * [backup-simplify]: Simplify (- 0) into 0 3.767 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.767 * [backup-simplify]: Simplify 1.0 into 1.0 3.768 * [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)))) 3.768 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 N) 3)) (/ (- 1.0 (/ 0.5 (/ 1 N))) (/ 1 N))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 3.768 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 3.768 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.768 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.768 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.769 * [taylor]: Taking taylor expansion of 1.0 in N 3.769 * [backup-simplify]: Simplify 1.0 into 1.0 3.769 * [taylor]: Taking taylor expansion of N in N 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 1 into 1 3.769 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.769 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.769 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.769 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.769 * [taylor]: Taking taylor expansion of N in N 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 1 into 1 3.769 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.769 * [taylor]: Taking taylor expansion of 0.5 in N 3.769 * [backup-simplify]: Simplify 0.5 into 0.5 3.769 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.769 * [taylor]: Taking taylor expansion of N in N 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 1 into 1 3.769 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.769 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.769 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.769 * [taylor]: Taking taylor expansion of 1.0 in N 3.769 * [backup-simplify]: Simplify 1.0 into 1.0 3.769 * [taylor]: Taking taylor expansion of N in N 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 1 into 1 3.769 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.769 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.769 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.769 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.769 * [taylor]: Taking taylor expansion of N in N 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 1 into 1 3.769 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.769 * [taylor]: Taking taylor expansion of 0.5 in N 3.769 * [backup-simplify]: Simplify 0.5 into 0.5 3.770 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.770 * [taylor]: Taking taylor expansion of N in N 3.770 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify 1 into 1 3.770 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.770 * [backup-simplify]: Simplify (+ 0 0) into 0 3.771 * [backup-simplify]: Simplify (+ 0 0) into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.773 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.773 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.773 * [backup-simplify]: Simplify 1.0 into 1.0 3.774 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.775 * [backup-simplify]: Simplify (+ 0 0) into 0 3.775 * [backup-simplify]: Simplify (* 1 1) into 1 3.775 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.776 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.777 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.777 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.778 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.778 * [backup-simplify]: Simplify (* 1 1) into 1 3.779 * [backup-simplify]: Simplify (* 1 1) into 1 3.779 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.780 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.781 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.781 * [backup-simplify]: Simplify (- 0) into 0 3.782 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.782 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.783 * [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)))) 3.783 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (/ (- 1.0 (/ 0.5 (/ 1 (- N)))) (/ 1 (- N)))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 3.783 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 3.783 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.783 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.783 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.783 * [taylor]: Taking taylor expansion of 0.5 in N 3.783 * [backup-simplify]: Simplify 0.5 into 0.5 3.783 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.783 * [taylor]: Taking taylor expansion of N in N 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify 1 into 1 3.784 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.784 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.784 * [taylor]: Taking taylor expansion of 1.0 in N 3.784 * [backup-simplify]: Simplify 1.0 into 1.0 3.784 * [taylor]: Taking taylor expansion of N in N 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.784 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.784 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.784 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.784 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.784 * [taylor]: Taking taylor expansion of N in N 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.784 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.784 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.784 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.784 * [taylor]: Taking taylor expansion of 0.5 in N 3.784 * [backup-simplify]: Simplify 0.5 into 0.5 3.784 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.784 * [taylor]: Taking taylor expansion of N in N 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.784 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.784 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.784 * [taylor]: Taking taylor expansion of 1.0 in N 3.784 * [backup-simplify]: Simplify 1.0 into 1.0 3.784 * [taylor]: Taking taylor expansion of N in N 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.784 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.784 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.784 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.784 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.784 * [taylor]: Taking taylor expansion of N in N 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.785 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.785 * [backup-simplify]: Simplify (+ 0 0) into 0 3.786 * [backup-simplify]: Simplify (+ 0 0) into 0 3.786 * [backup-simplify]: Simplify (- 0) into 0 3.786 * [backup-simplify]: Simplify 0 into 0 3.787 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.788 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.788 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.789 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.789 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.789 * [backup-simplify]: Simplify (* 1 1) into 1 3.790 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.791 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.791 * [backup-simplify]: Simplify (+ 0 0) into 0 3.792 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.792 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.792 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.794 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.795 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.795 * [backup-simplify]: Simplify (* 1 1) into 1 3.795 * [backup-simplify]: Simplify (* 1 1) into 1 3.796 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.796 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.797 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.797 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.797 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.799 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.799 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.799 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 3.799 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 3.799 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.799 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.799 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.799 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.799 * [taylor]: Taking taylor expansion of N in N 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 1 into 1 3.800 * [backup-simplify]: Simplify (* 1 1) into 1 3.800 * [backup-simplify]: Simplify (* 1 1) into 1 3.801 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.801 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.801 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.801 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.801 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.801 * [taylor]: Taking taylor expansion of N in N 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify 1 into 1 3.801 * [backup-simplify]: Simplify (* 1 1) into 1 3.802 * [backup-simplify]: Simplify (* 1 1) into 1 3.802 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.802 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 3.804 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.810 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.814 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.817 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.821 * [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 3.821 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.822 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 3.822 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 3.822 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.822 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.822 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.822 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.822 * [taylor]: Taking taylor expansion of N in N 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify 1 into 1 3.822 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.822 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.822 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.822 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.822 * [taylor]: Taking taylor expansion of N in N 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify 1 into 1 3.823 * [backup-simplify]: Simplify (* 1 1) into 1 3.823 * [backup-simplify]: Simplify (* 1 1) into 1 3.824 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.824 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.826 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.826 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.828 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.828 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.832 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.832 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.835 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.835 * [backup-simplify]: Simplify 0 into 0 3.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.839 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.839 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.844 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.844 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 3.844 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 3.844 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.844 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.844 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.844 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.844 * [taylor]: Taking taylor expansion of N in N 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.845 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.845 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.845 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.845 * [taylor]: Taking taylor expansion of N in N 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 1 into 1 3.845 * [backup-simplify]: Simplify (* 1 1) into 1 3.845 * [backup-simplify]: Simplify (* 1 1) into 1 3.846 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 3.846 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.848 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 3.848 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.851 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.851 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.854 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.854 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.857 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.857 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.861 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.861 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.866 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.867 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.867 * [backup-simplify]: Simplify (/ (- 1.0 (/ 0.5 N)) N) into (/ (- 1.0 (* 0.5 (/ 1 N))) N) 3.867 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in (N) around 0 3.867 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 3.867 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 3.867 * [taylor]: Taking taylor expansion of 1.0 in N 3.867 * [backup-simplify]: Simplify 1.0 into 1.0 3.867 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 3.867 * [taylor]: Taking taylor expansion of 0.5 in N 3.867 * [backup-simplify]: Simplify 0.5 into 0.5 3.867 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.867 * [taylor]: Taking taylor expansion of N in N 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (/ 1 1) into 1 3.868 * [taylor]: Taking taylor expansion of N in N 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 1 into 1 3.868 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.869 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.869 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.870 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 3.870 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 3.870 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 3.870 * [taylor]: Taking taylor expansion of 1.0 in N 3.870 * [backup-simplify]: Simplify 1.0 into 1.0 3.870 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 3.870 * [taylor]: Taking taylor expansion of 0.5 in N 3.870 * [backup-simplify]: Simplify 0.5 into 0.5 3.870 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.870 * [taylor]: Taking taylor expansion of N in N 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [backup-simplify]: Simplify (/ 1 1) into 1 3.871 * [taylor]: Taking taylor expansion of N in N 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.872 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.873 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.873 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 3.874 * [backup-simplify]: Simplify -0.5 into -0.5 3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.884 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.884 * [backup-simplify]: Simplify (- 0) into 0 3.885 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.887 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -0.5 (/ 0 1)))) into 1.0 3.887 * [backup-simplify]: Simplify 1.0 into 1.0 3.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.889 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.889 * [backup-simplify]: Simplify (- 0) into 0 3.890 * [backup-simplify]: Simplify (+ 0 0) into 0 3.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.891 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.893 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.893 * [backup-simplify]: Simplify (- 0) into 0 3.894 * [backup-simplify]: Simplify (+ 0 0) into 0 3.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.895 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.897 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.897 * [backup-simplify]: Simplify (- 0) into 0 3.898 * [backup-simplify]: Simplify (+ 0 0) into 0 3.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.899 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.901 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.902 * [backup-simplify]: Simplify (- 0) into 0 3.902 * [backup-simplify]: Simplify (+ 0 0) into 0 3.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.903 * [backup-simplify]: Simplify 0 into 0 3.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.906 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.906 * [backup-simplify]: Simplify (- 0) into 0 3.906 * [backup-simplify]: Simplify (+ 0 0) into 0 3.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.908 * [backup-simplify]: Simplify 0 into 0 3.909 * [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 3.910 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.911 * [backup-simplify]: Simplify (- 0) into 0 3.911 * [backup-simplify]: Simplify (+ 0 0) into 0 3.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.912 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.913 * [backup-simplify]: Simplify (/ (- 1.0 (/ 0.5 (/ 1 N))) (/ 1 N)) into (* N (- 1.0 (* 0.5 N))) 3.913 * [approximate]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in (N) around 0 3.913 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 3.913 * [taylor]: Taking taylor expansion of N in N 3.913 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify 1 into 1 3.913 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 3.913 * [taylor]: Taking taylor expansion of 1.0 in N 3.913 * [backup-simplify]: Simplify 1.0 into 1.0 3.913 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.913 * [taylor]: Taking taylor expansion of 0.5 in N 3.913 * [backup-simplify]: Simplify 0.5 into 0.5 3.913 * [taylor]: Taking taylor expansion of N in N 3.913 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify 1 into 1 3.914 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 3.914 * [taylor]: Taking taylor expansion of N in N 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 1 into 1 3.914 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 3.914 * [taylor]: Taking taylor expansion of 1.0 in N 3.914 * [backup-simplify]: Simplify 1.0 into 1.0 3.914 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.914 * [taylor]: Taking taylor expansion of 0.5 in N 3.914 * [backup-simplify]: Simplify 0.5 into 0.5 3.914 * [taylor]: Taking taylor expansion of N in N 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 1 into 1 3.914 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.915 * [backup-simplify]: Simplify (- 0) into 0 3.915 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.916 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.916 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 3.917 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.918 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.920 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 3.920 * [backup-simplify]: Simplify 1.0 into 1.0 3.921 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 3.921 * [backup-simplify]: Simplify (- 0) into 0 3.922 * [backup-simplify]: Simplify (+ 0 0) into 0 3.925 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 3.925 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.927 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.927 * [backup-simplify]: Simplify (- 0) into 0 3.927 * [backup-simplify]: Simplify (+ 0 0) into 0 3.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0 3.929 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.930 * [backup-simplify]: Simplify (- 0) into 0 3.931 * [backup-simplify]: Simplify (+ 0 0) into 0 3.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))) into 0 3.932 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.934 * [backup-simplify]: Simplify (- 0) into 0 3.935 * [backup-simplify]: Simplify (+ 0 0) into 0 3.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))) into 0 3.937 * [backup-simplify]: Simplify 0 into 0 3.938 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.939 * [backup-simplify]: Simplify (- 0) into 0 3.939 * [backup-simplify]: Simplify (+ 0 0) into 0 3.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))) into 0 3.941 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.944 * [backup-simplify]: Simplify (- 0) into 0 3.944 * [backup-simplify]: Simplify (+ 0 0) into 0 3.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))))) into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.949 * [backup-simplify]: Simplify (- 0) into 0 3.949 * [backup-simplify]: Simplify (+ 0 0) into 0 3.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))))) into 0 3.952 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.953 * [backup-simplify]: Simplify (/ (- 1.0 (/ 0.5 (/ 1 (- N)))) (/ 1 (- N))) into (* -1 (* (+ (* 0.5 N) 1.0) N)) 3.953 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in (N) around 0 3.953 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 3.953 * [taylor]: Taking taylor expansion of -1 in N 3.953 * [backup-simplify]: Simplify -1 into -1 3.953 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 3.953 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 3.953 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.953 * [taylor]: Taking taylor expansion of 0.5 in N 3.953 * [backup-simplify]: Simplify 0.5 into 0.5 3.953 * [taylor]: Taking taylor expansion of N in N 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 1 into 1 3.953 * [taylor]: Taking taylor expansion of 1.0 in N 3.953 * [backup-simplify]: Simplify 1.0 into 1.0 3.953 * [taylor]: Taking taylor expansion of N in N 3.953 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.954 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 3.954 * [taylor]: Taking taylor expansion of -1 in N 3.954 * [backup-simplify]: Simplify -1 into -1 3.954 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 3.954 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 3.954 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.954 * [taylor]: Taking taylor expansion of 0.5 in N 3.954 * [backup-simplify]: Simplify 0.5 into 0.5 3.954 * [taylor]: Taking taylor expansion of N in N 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.954 * [taylor]: Taking taylor expansion of 1.0 in N 3.954 * [backup-simplify]: Simplify 1.0 into 1.0 3.954 * [taylor]: Taking taylor expansion of N in N 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.954 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.955 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.955 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.956 * [backup-simplify]: Simplify (* -1 0) into 0 3.956 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 3.958 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.959 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0.5 0)) into 1.0 3.960 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 0)) into (- 1.0) 3.960 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.961 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 3.961 * [backup-simplify]: Simplify (+ 0 0) into 0 3.963 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 1) (* 0 0))) into 0.5 3.964 * [backup-simplify]: Simplify (+ (* -1 0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.5) 3.964 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.965 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.965 * [backup-simplify]: Simplify (+ 0 0) into 0 3.966 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 1) (* 0 0)))) into 0 3.967 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))) into 0 3.967 * [backup-simplify]: Simplify 0 into 0 3.967 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.968 * [backup-simplify]: Simplify (+ 0 0) into 0 3.968 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.969 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))) into 0 3.969 * [backup-simplify]: Simplify 0 into 0 3.970 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.970 * [backup-simplify]: Simplify (+ 0 0) into 0 3.971 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.972 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))) into 0 3.972 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.973 * [backup-simplify]: Simplify (+ 0 0) into 0 3.974 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.975 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))) into 0 3.975 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.977 * [backup-simplify]: Simplify (+ 0 0) into 0 3.978 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.979 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))))) into 0 3.979 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.980 * [backup-simplify]: Simplify (+ 0 0) into 0 3.982 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 3.983 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))))) into 0 3.983 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.984 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.984 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 N)) into (- 1.0 (* 0.5 (/ 1 N))) 3.984 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in (N) around 0 3.984 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 3.984 * [taylor]: Taking taylor expansion of 1.0 in N 3.984 * [backup-simplify]: Simplify 1.0 into 1.0 3.984 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 3.984 * [taylor]: Taking taylor expansion of 0.5 in N 3.984 * [backup-simplify]: Simplify 0.5 into 0.5 3.984 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.984 * [taylor]: Taking taylor expansion of N in N 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 1 into 1 3.984 * [backup-simplify]: Simplify (/ 1 1) into 1 3.984 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 3.984 * [taylor]: Taking taylor expansion of 1.0 in N 3.984 * [backup-simplify]: Simplify 1.0 into 1.0 3.984 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 3.984 * [taylor]: Taking taylor expansion of 0.5 in N 3.984 * [backup-simplify]: Simplify 0.5 into 0.5 3.984 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.984 * [taylor]: Taking taylor expansion of N in N 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 1 into 1 3.985 * [backup-simplify]: Simplify (/ 1 1) into 1 3.985 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.985 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.986 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.986 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.987 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.988 * [backup-simplify]: Simplify (- 0) into 0 3.988 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.988 * [backup-simplify]: Simplify 1.0 into 1.0 3.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.990 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.990 * [backup-simplify]: Simplify (- 0) into 0 3.991 * [backup-simplify]: Simplify (+ 0 0) into 0 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.992 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.992 * [backup-simplify]: Simplify (- 0) into 0 3.993 * [backup-simplify]: Simplify (+ 0 0) into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.994 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.994 * [backup-simplify]: Simplify (- 0) into 0 3.994 * [backup-simplify]: Simplify (+ 0 0) into 0 3.994 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.996 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.996 * [backup-simplify]: Simplify (- 0) into 0 3.996 * [backup-simplify]: Simplify (+ 0 0) into 0 3.996 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.997 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.998 * [backup-simplify]: Simplify (- 0) into 0 3.998 * [backup-simplify]: Simplify (+ 0 0) into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.999 * [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 4.004 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.005 * [backup-simplify]: Simplify (- 0) into 0 4.005 * [backup-simplify]: Simplify (+ 0 0) into 0 4.005 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify (+ 1.0 (* (- 0.5) (/ 1 N))) into (- 1.0 (* 0.5 (/ 1 N))) 4.006 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 (/ 1 N))) into (- 1.0 (* 0.5 N)) 4.006 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in (N) around 0 4.006 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 4.006 * [taylor]: Taking taylor expansion of 1.0 in N 4.006 * [backup-simplify]: Simplify 1.0 into 1.0 4.006 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.006 * [taylor]: Taking taylor expansion of 0.5 in N 4.006 * [backup-simplify]: Simplify 0.5 into 0.5 4.006 * [taylor]: Taking taylor expansion of N in N 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 4.006 * [taylor]: Taking taylor expansion of 1.0 in N 4.006 * [backup-simplify]: Simplify 1.0 into 1.0 4.006 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.006 * [taylor]: Taking taylor expansion of 0.5 in N 4.006 * [backup-simplify]: Simplify 0.5 into 0.5 4.006 * [taylor]: Taking taylor expansion of N in N 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.007 * [backup-simplify]: Simplify (- 0) into 0 4.007 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.007 * [backup-simplify]: Simplify 1.0 into 1.0 4.008 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.008 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.008 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.009 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.009 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.009 * [backup-simplify]: Simplify (- 0) into 0 4.010 * [backup-simplify]: Simplify (+ 0 0) into 0 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.011 * [backup-simplify]: Simplify (- 0) into 0 4.011 * [backup-simplify]: Simplify (+ 0 0) into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.012 * [backup-simplify]: Simplify (- 0) into 0 4.012 * [backup-simplify]: Simplify (+ 0 0) into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.013 * [backup-simplify]: Simplify (- 0) into 0 4.013 * [backup-simplify]: Simplify (+ 0 0) into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.014 * [backup-simplify]: Simplify (- 0) into 0 4.015 * [backup-simplify]: Simplify (+ 0 0) into 0 4.015 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.016 * [backup-simplify]: Simplify (- 0) into 0 4.016 * [backup-simplify]: Simplify (+ 0 0) into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify (+ (* (- 0.5) (/ 1 N)) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 4.017 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 (/ 1 (- N)))) into (+ (* 0.5 N) 1.0) 4.017 * [approximate]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in (N) around 0 4.017 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 4.017 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.017 * [taylor]: Taking taylor expansion of 0.5 in N 4.017 * [backup-simplify]: Simplify 0.5 into 0.5 4.017 * [taylor]: Taking taylor expansion of N in N 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 1 into 1 4.017 * [taylor]: Taking taylor expansion of 1.0 in N 4.017 * [backup-simplify]: Simplify 1.0 into 1.0 4.017 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 4.017 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.017 * [taylor]: Taking taylor expansion of 0.5 in N 4.017 * [backup-simplify]: Simplify 0.5 into 0.5 4.017 * [taylor]: Taking taylor expansion of N in N 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 1 into 1 4.017 * [taylor]: Taking taylor expansion of 1.0 in N 4.017 * [backup-simplify]: Simplify 1.0 into 1.0 4.017 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.018 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.018 * [backup-simplify]: Simplify 1.0 into 1.0 4.019 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.019 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.019 * [backup-simplify]: Simplify 0.5 into 0.5 4.020 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.020 * [backup-simplify]: Simplify (+ 0 0) into 0 4.020 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.022 * [backup-simplify]: Simplify (+ 0 0) into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.023 * [backup-simplify]: Simplify (+ 0 0) into 0 4.023 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.025 * [backup-simplify]: Simplify (+ 0 0) into 0 4.025 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.027 * [backup-simplify]: Simplify (+ 0 0) into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.030 * [backup-simplify]: Simplify (+ 0 0) into 0 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (- N))) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 4.030 * * * [progress]: simplifying candidates 4.035 * [simplify]: Simplifying: (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (/ (- 1.0 (/ 0.5 N)) N))) (log (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (* (* (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (+ (* 0.3333333333333333 N) (* (pow N 3) (- 1.0 (/ 0.5 N)))) (* (pow N 3) N) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ (- 1.0 (/ 0.5 N)) N) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N)) (* (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N))) (- (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (- (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) (- (log (- 1.0 (/ 0.5 N))) (log N)) (log (/ (- 1.0 (/ 0.5 N)) N)) (exp (/ (- 1.0 (/ 0.5 N)) N)) (/ (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N))) (* (* N N) N)) (* (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (cbrt (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (* (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N)) (/ (- 1.0 (/ 0.5 N)) N)) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (- (- 1.0 (/ 0.5 N))) (- N) (/ 1.0 N) (/ (/ 0.5 N) N) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt N)) (/ (cbrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) 1) (/ (cbrt (- 1.0 (/ 0.5 N))) N) (/ (sqrt (- 1.0 (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) 1) (/ (sqrt (- 1.0 (/ 0.5 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ 1 1) (/ (- 1.0 (/ 0.5 N)) N) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) (cbrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) 1) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) N) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (* (cbrt N) (cbrt N))) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (cbrt N)) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 1) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ 1 1) (/ (- 1.0 (/ 0.5 N)) N) (/ 1 N) (/ N (- 1.0 (/ 0.5 N))) (/ (- 1.0 (/ 0.5 N)) (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (- 1.0 (/ 0.5 N)) 1) (/ N (cbrt (- 1.0 (/ 0.5 N)))) (/ N (sqrt (- 1.0 (/ 0.5 N)))) (/ N (- 1.0 (/ 0.5 N))) (/ N (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (/ N (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N)))) (/ N (- 1.0 (/ 0.5 N))) (* N (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N))))) (* N (+ 1.0 (/ 0.5 N))) (/ (exp 1.0) (exp (/ 0.5 N))) (log (- 1.0 (/ 0.5 N))) (exp (- 1.0 (/ 0.5 N))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N))) (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N)))) (- (/ 0.5 N)) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) (+ 1.0 (/ 0.5 N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (- (sqrt 1.0) (sqrt (/ 0.5 N))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- 1.0 (/ 0.5 N)) (- (/ 0.5 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)))) (/ 0.3333333333333333 (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)))) (- 1.0 (* 0.5 (/ 1 N))) (- 1.0 (* 0.5 (/ 1 N))) (- 1.0 (* 0.5 (/ 1 N))) 4.041 * * [simplify]: Extracting # 0 : cost 0 4.041 * * [simplify]: Extracting # 1 : cost 0 4.042 * * [simplify]: Extracting # 2 : cost 0 4.043 * * [simplify]: Extracting # 3 : cost 0 4.043 * * [simplify]: Extracting # 4 : cost 0 4.044 * * [simplify]: Extracting # 5 : cost 0 4.044 * * [simplify]: Extracting # 6 : cost 0 4.045 * * [simplify]: iteration 0 : 214 enodes (cost 1894 ) 4.120 * * [simplify]: Extracting # 0 : cost 0 4.121 * * [simplify]: Extracting # 1 : cost 0 4.122 * * [simplify]: Extracting # 2 : cost 0 4.123 * * [simplify]: Extracting # 3 : cost 0 4.124 * * [simplify]: Extracting # 4 : cost 0 4.126 * * [simplify]: iteration 1 : 469 enodes (cost 1689 ) 4.397 * * [simplify]: Extracting # 0 : cost 0 4.400 * * [simplify]: Extracting # 1 : cost 0 4.403 * * [simplify]: Extracting # 2 : cost 0 4.406 * * [simplify]: Extracting # 3 : cost 0 4.409 * * [simplify]: iteration 2 : 1288 enodes (cost 1578 ) 5.137 * * [simplify]: Extracting # 0 : cost 0 5.148 * * [simplify]: Extracting # 1 : cost 0 5.160 * * [simplify]: Extracting # 2 : cost 0 5.173 * * [simplify]: Extracting # 3 : cost 0 5.179 * * [simplify]: Extracting # 4 : cost 0 5.185 * * [simplify]: iteration done: 5001 enodes (cost 1578 ) 5.186 * [simplify]: Simplified to: (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (log (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (pow (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) 3) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (+ (* 0.3333333333333333 N) (* (pow N 3) (- 1.0 (/ 0.5 N)))) (pow N 4) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ (- 1.0 (/ 0.5 N)) N) 3)) (+ (* (/ (- 1.0 (/ 0.5 N)) N) (- (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6))) (- (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)) (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N))) (- (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (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) (/ (pow N 3/2) (cbrt 0.3333333333333333))) (/ (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 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 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) (log (/ (- 1.0 (/ 0.5 N)) N)) (log (/ (- 1.0 (/ 0.5 N)) N)) (exp (/ (- 1.0 (/ 0.5 N)) N)) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (* (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (cbrt (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (- (- 1.0 (/ 0.5 N))) (- N) (/ 1.0 N) (/ (/ 0.5 N) N) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt N)) (/ (cbrt (- 1.0 (/ 0.5 N))) (sqrt N)) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ (cbrt (- 1.0 (/ 0.5 N))) N) (/ (sqrt (- 1.0 (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (sqrt (- 1.0 (/ 0.5 N))) (/ (sqrt (- 1.0 (/ 0.5 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) 1 (/ (- 1.0 (/ 0.5 N)) N) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) (cbrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) N) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (* (cbrt N) (cbrt N))) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (cbrt N)) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) 1 (/ (- 1.0 (/ 0.5 N)) N) (/ 1 N) (/ N (- 1.0 (/ 0.5 N))) (/ (- 1.0 (/ 0.5 N)) (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (- 1.0 (/ 0.5 N)) (/ N (cbrt (- 1.0 (/ 0.5 N)))) (/ N (sqrt (- 1.0 (/ 0.5 N)))) (/ N (- 1.0 (/ 0.5 N))) (/ N (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (/ N (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N)))) (/ N (- 1.0 (/ 0.5 N))) (* N (+ (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) (* 1.0 1.0))) (* N (+ 1.0 (/ 0.5 N))) (exp (- 1.0 (/ 0.5 N))) (log (- 1.0 (/ 0.5 N))) (exp (- 1.0 (/ 0.5 N))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N))) (pow (- 1.0 (/ 0.5 N)) 3) (sqrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (+ (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) (* 1.0 1.0)) (/ (- 0.5) N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) (+ 1.0 (/ 0.5 N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (- (sqrt 1.0) (sqrt (/ 0.5 N))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- 1.0 (/ 0.5 N)) (/ (- 0.5) N) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) 5.187 * * * [progress]: adding candidates to table 5.577 * * [progress]: iteration 3 / 4 5.577 * * * [progress]: picking best candidate 5.593 * * * * [pick]: Picked # 5.593 * * * [progress]: localizing error 5.619 * * * [progress]: generating rewritten candidates 5.619 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.901 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.909 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 5.934 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 6.018 * * * [progress]: generating series expansions 6.018 * * * * [progress]: [ 1 / 4 ] generating series at (2) 6.019 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.019 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 6.019 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 6.019 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 6.019 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 6.019 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.019 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.019 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.019 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.019 * [taylor]: Taking taylor expansion of N in N 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify 1 into 1 6.020 * [backup-simplify]: Simplify (* 1 1) into 1 6.020 * [backup-simplify]: Simplify (* 1 1) into 1 6.021 * [backup-simplify]: Simplify (/ 1 1) into 1 6.021 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 6.021 * [taylor]: Taking taylor expansion of 1.0 in N 6.021 * [backup-simplify]: Simplify 1.0 into 1.0 6.021 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.021 * [taylor]: Taking taylor expansion of N in N 6.021 * [backup-simplify]: Simplify 0 into 0 6.021 * [backup-simplify]: Simplify 1 into 1 6.021 * [backup-simplify]: Simplify (/ 1 1) into 1 6.022 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 6.022 * [taylor]: Taking taylor expansion of 0.5 in N 6.022 * [backup-simplify]: Simplify 0.5 into 0.5 6.022 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.022 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.022 * [taylor]: Taking taylor expansion of N in N 6.022 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify 1 into 1 6.022 * [backup-simplify]: Simplify (* 1 1) into 1 6.023 * [backup-simplify]: Simplify (/ 1 1) into 1 6.023 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 6.023 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 6.023 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 6.023 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.023 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.023 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.023 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.023 * [taylor]: Taking taylor expansion of N in N 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify 1 into 1 6.023 * [backup-simplify]: Simplify (* 1 1) into 1 6.024 * [backup-simplify]: Simplify (* 1 1) into 1 6.024 * [backup-simplify]: Simplify (/ 1 1) into 1 6.024 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 6.024 * [taylor]: Taking taylor expansion of 1.0 in N 6.024 * [backup-simplify]: Simplify 1.0 into 1.0 6.024 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.024 * [taylor]: Taking taylor expansion of N in N 6.024 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify 1 into 1 6.025 * [backup-simplify]: Simplify (/ 1 1) into 1 6.025 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 6.025 * [taylor]: Taking taylor expansion of 0.5 in N 6.025 * [backup-simplify]: Simplify 0.5 into 0.5 6.025 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.025 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.025 * [taylor]: Taking taylor expansion of N in N 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * [backup-simplify]: Simplify 1 into 1 6.025 * [backup-simplify]: Simplify (* 1 1) into 1 6.026 * [backup-simplify]: Simplify (/ 1 1) into 1 6.026 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.027 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.027 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.027 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.030 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.030 * [backup-simplify]: Simplify (+ 0 0) into 0 6.031 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.031 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.032 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.032 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.036 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.037 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 6.037 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.039 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.040 * [backup-simplify]: Simplify (- 0) into 0 6.040 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.040 * [backup-simplify]: Simplify 1.0 into 1.0 6.041 * [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)))) 6.042 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 N) 3)) (/ 1 (/ (/ 1 N) (- 1.0 (/ 0.5 (/ 1 N)))))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 6.042 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 6.042 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 6.042 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.042 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.042 * [taylor]: Taking taylor expansion of 1.0 in N 6.042 * [backup-simplify]: Simplify 1.0 into 1.0 6.042 * [taylor]: Taking taylor expansion of N in N 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 1 into 1 6.042 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.042 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.042 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.042 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.042 * [taylor]: Taking taylor expansion of N in N 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 1 into 1 6.042 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.042 * [taylor]: Taking taylor expansion of 0.5 in N 6.042 * [backup-simplify]: Simplify 0.5 into 0.5 6.042 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.042 * [taylor]: Taking taylor expansion of N in N 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 1 into 1 6.042 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 6.043 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.043 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.043 * [taylor]: Taking taylor expansion of 1.0 in N 6.043 * [backup-simplify]: Simplify 1.0 into 1.0 6.043 * [taylor]: Taking taylor expansion of N in N 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.043 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.043 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.043 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.043 * [taylor]: Taking taylor expansion of N in N 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.043 * [taylor]: Taking taylor expansion of 0.5 in N 6.043 * [backup-simplify]: Simplify 0.5 into 0.5 6.043 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.043 * [taylor]: Taking taylor expansion of N in N 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.044 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.044 * [backup-simplify]: Simplify (+ 0 0) into 0 6.044 * [backup-simplify]: Simplify (+ 0 0) into 0 6.044 * [backup-simplify]: Simplify 0 into 0 6.046 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 6.046 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.047 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.047 * [backup-simplify]: Simplify 1.0 into 1.0 6.048 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.048 * [backup-simplify]: Simplify (+ 0 0) into 0 6.048 * [backup-simplify]: Simplify (* 1 1) into 1 6.049 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.049 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.050 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.050 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.051 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.052 * [backup-simplify]: Simplify (* 1 1) into 1 6.052 * [backup-simplify]: Simplify (* 1 1) into 1 6.053 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.053 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 6.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.054 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.055 * [backup-simplify]: Simplify (- 0) into 0 6.055 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.055 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.056 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.057 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (/ 1 (/ (/ 1 (- N)) (- 1.0 (/ 0.5 (/ 1 (- N))))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 6.057 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 6.057 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 6.057 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 6.057 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.057 * [taylor]: Taking taylor expansion of 0.5 in N 6.057 * [backup-simplify]: Simplify 0.5 into 0.5 6.057 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.057 * [taylor]: Taking taylor expansion of N in N 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify 1 into 1 6.057 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.057 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.057 * [taylor]: Taking taylor expansion of 1.0 in N 6.057 * [backup-simplify]: Simplify 1.0 into 1.0 6.057 * [taylor]: Taking taylor expansion of N in N 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify 1 into 1 6.057 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.058 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.058 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.058 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.058 * [taylor]: Taking taylor expansion of N in N 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 1 into 1 6.058 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 6.058 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 6.058 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.058 * [taylor]: Taking taylor expansion of 0.5 in N 6.058 * [backup-simplify]: Simplify 0.5 into 0.5 6.058 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.058 * [taylor]: Taking taylor expansion of N in N 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 1 into 1 6.058 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.058 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.058 * [taylor]: Taking taylor expansion of 1.0 in N 6.058 * [backup-simplify]: Simplify 1.0 into 1.0 6.058 * [taylor]: Taking taylor expansion of N in N 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 1 into 1 6.058 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.058 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.058 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.058 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.058 * [taylor]: Taking taylor expansion of N in N 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 1 into 1 6.059 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.059 * [backup-simplify]: Simplify (+ 0 0) into 0 6.060 * [backup-simplify]: Simplify (+ 0 0) into 0 6.060 * [backup-simplify]: Simplify (- 0) into 0 6.060 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 6.062 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.062 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.063 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.063 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.064 * [backup-simplify]: Simplify (* 1 1) into 1 6.064 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.066 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.066 * [backup-simplify]: Simplify (+ 0 0) into 0 6.066 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.067 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.067 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.069 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.070 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.070 * [backup-simplify]: Simplify (* 1 1) into 1 6.070 * [backup-simplify]: Simplify (* 1 1) into 1 6.071 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.071 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 6.072 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 6.072 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.073 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.074 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.074 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.075 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 6.075 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 6.075 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 6.075 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.075 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.075 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.075 * [taylor]: Taking taylor expansion of N in N 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 1 into 1 6.075 * [backup-simplify]: Simplify (* 1 1) into 1 6.076 * [backup-simplify]: Simplify (* 1 1) into 1 6.076 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.076 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 6.076 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.076 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.076 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.076 * [taylor]: Taking taylor expansion of N in N 6.076 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify 1 into 1 6.077 * [backup-simplify]: Simplify (* 1 1) into 1 6.077 * [backup-simplify]: Simplify (* 1 1) into 1 6.078 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.078 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 6.080 * [backup-simplify]: Simplify 0 into 0 6.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.090 * [backup-simplify]: Simplify 0 into 0 6.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.097 * [backup-simplify]: Simplify 0 into 0 6.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.100 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.105 * [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 6.105 * [backup-simplify]: Simplify 0 into 0 6.105 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.105 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 6.105 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 6.105 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.105 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.105 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.105 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.106 * [taylor]: Taking taylor expansion of N in N 6.106 * [backup-simplify]: Simplify 0 into 0 6.106 * [backup-simplify]: Simplify 1 into 1 6.106 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.106 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.106 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.106 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.106 * [taylor]: Taking taylor expansion of N in N 6.106 * [backup-simplify]: Simplify 0 into 0 6.106 * [backup-simplify]: Simplify 1 into 1 6.106 * [backup-simplify]: Simplify (* 1 1) into 1 6.107 * [backup-simplify]: Simplify (* 1 1) into 1 6.107 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.107 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.109 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.109 * [backup-simplify]: Simplify 0 into 0 6.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.112 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.112 * [backup-simplify]: Simplify 0 into 0 6.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.115 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.115 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.119 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.119 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.123 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.123 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.128 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.128 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.128 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 6.128 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 6.128 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 6.128 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 6.129 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.129 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.129 * [taylor]: Taking taylor expansion of N in N 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 1 into 1 6.129 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 6.129 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 6.129 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.129 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.129 * [taylor]: Taking taylor expansion of N in N 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 1 into 1 6.130 * [backup-simplify]: Simplify (* 1 1) into 1 6.130 * [backup-simplify]: Simplify (* 1 1) into 1 6.130 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 6.131 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.133 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 6.133 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.136 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.136 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.139 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.139 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.143 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.143 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.147 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.147 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.152 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.152 * [backup-simplify]: Simplify 0 into 0 6.152 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.152 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 6.153 * [backup-simplify]: Simplify (/ N (- 1.0 (/ 0.5 N))) into (/ N (- 1.0 (* 0.5 (/ 1 N)))) 6.153 * [approximate]: Taking taylor expansion of (/ N (- 1.0 (* 0.5 (/ 1 N)))) in (N) around 0 6.153 * [taylor]: Taking taylor expansion of (/ N (- 1.0 (* 0.5 (/ 1 N)))) in N 6.153 * [taylor]: Taking taylor expansion of N in N 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify 1 into 1 6.153 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 6.153 * [taylor]: Taking taylor expansion of 1.0 in N 6.153 * [backup-simplify]: Simplify 1.0 into 1.0 6.153 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.153 * [taylor]: Taking taylor expansion of 0.5 in N 6.153 * [backup-simplify]: Simplify 0.5 into 0.5 6.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.153 * [taylor]: Taking taylor expansion of N in N 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify 1 into 1 6.154 * [backup-simplify]: Simplify (/ 1 1) into 1 6.154 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.154 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.155 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.156 * [backup-simplify]: Simplify (/ 1 (- 0.5)) into -2.0 6.156 * [taylor]: Taking taylor expansion of (/ N (- 1.0 (* 0.5 (/ 1 N)))) in N 6.156 * [taylor]: Taking taylor expansion of N in N 6.156 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 1 into 1 6.157 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 6.157 * [taylor]: Taking taylor expansion of 1.0 in N 6.157 * [backup-simplify]: Simplify 1.0 into 1.0 6.157 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.157 * [taylor]: Taking taylor expansion of 0.5 in N 6.157 * [backup-simplify]: Simplify 0.5 into 0.5 6.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.157 * [taylor]: Taking taylor expansion of N in N 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 1 into 1 6.157 * [backup-simplify]: Simplify (/ 1 1) into 1 6.158 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.158 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.159 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.160 * [backup-simplify]: Simplify (/ 1 (- 0.5)) into -2.0 6.160 * [backup-simplify]: Simplify -2.0 into -2.0 6.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.161 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.162 * [backup-simplify]: Simplify (- 0) into 0 6.162 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.166 * [backup-simplify]: Simplify (- (/ 0 (- 0.5)) (+ (* -2.0 (/ 1.0 (- 0.5))))) into (- 4.0) 6.166 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 6.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.168 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.168 * [backup-simplify]: Simplify (- 0) into 0 6.168 * [backup-simplify]: Simplify (+ 0 0) into 0 6.171 * [backup-simplify]: Simplify (- (/ 0 (- 0.5)) (+ (* -2.0 (/ 0 (- 0.5))) (* (- 4.0) (/ 1.0 (- 0.5))))) into (- 8.0) 6.172 * [backup-simplify]: Simplify (- 8.0) into (- 8.0) 6.173 * [backup-simplify]: Simplify (+ (* (- 8.0) (pow N 4)) (+ (* (- 4.0) (pow N 3)) (* -2.0 (pow N 2)))) into (- (+ (* 2.0 (pow N 2)) (+ (* 8.0 (pow N 4)) (* 4.0 (pow N 3))))) 6.173 * [backup-simplify]: Simplify (/ (/ 1 N) (- 1.0 (/ 0.5 (/ 1 N)))) into (/ 1 (* N (- 1.0 (* 0.5 N)))) 6.173 * [approximate]: Taking taylor expansion of (/ 1 (* N (- 1.0 (* 0.5 N)))) in (N) around 0 6.173 * [taylor]: Taking taylor expansion of (/ 1 (* N (- 1.0 (* 0.5 N)))) in N 6.173 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 6.173 * [taylor]: Taking taylor expansion of N in N 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify 1 into 1 6.173 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.173 * [taylor]: Taking taylor expansion of 1.0 in N 6.173 * [backup-simplify]: Simplify 1.0 into 1.0 6.173 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.173 * [taylor]: Taking taylor expansion of 0.5 in N 6.173 * [backup-simplify]: Simplify 0.5 into 0.5 6.173 * [taylor]: Taking taylor expansion of N in N 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify 1 into 1 6.173 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.174 * [backup-simplify]: Simplify (- 0) into 0 6.174 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.174 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.175 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.175 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.176 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.177 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 6.177 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 6.177 * [taylor]: Taking taylor expansion of (/ 1 (* N (- 1.0 (* 0.5 N)))) in N 6.177 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 6.177 * [taylor]: Taking taylor expansion of N in N 6.177 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify 1 into 1 6.177 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.177 * [taylor]: Taking taylor expansion of 1.0 in N 6.177 * [backup-simplify]: Simplify 1.0 into 1.0 6.177 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.177 * [taylor]: Taking taylor expansion of 0.5 in N 6.177 * [backup-simplify]: Simplify 0.5 into 0.5 6.177 * [taylor]: Taking taylor expansion of N in N 6.177 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify 1 into 1 6.178 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.178 * [backup-simplify]: Simplify (- 0) into 0 6.178 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.178 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.179 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.179 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.180 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.181 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 6.181 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 6.181 * [backup-simplify]: Simplify 1.0 into 1.0 6.182 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.182 * [backup-simplify]: Simplify (- 0) into 0 6.182 * [backup-simplify]: Simplify (+ 0 0) into 0 6.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 6.186 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ (- 0.5) 1.0)))) into 0.5 6.186 * [backup-simplify]: Simplify 0.5 into 0.5 6.187 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.187 * [backup-simplify]: Simplify (- 0) into 0 6.187 * [backup-simplify]: Simplify (+ 0 0) into 0 6.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0 6.191 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* 0.5 (/ (- 0.5) 1.0)))) into 0.25 6.191 * [backup-simplify]: Simplify 0.25 into 0.25 6.191 * [backup-simplify]: Simplify (+ (* 0.25 (/ 1 N)) (+ 0.5 (* 1.0 (/ 1 (/ 1 N))))) into (+ (* 0.25 (/ 1 N)) (+ (* 1.0 N) 0.5)) 6.191 * [backup-simplify]: Simplify (/ (/ 1 (- N)) (- 1.0 (/ 0.5 (/ 1 (- N))))) into (/ -1 (* (+ (* 0.5 N) 1.0) N)) 6.191 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 N) 1.0) N)) in (N) around 0 6.191 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 N) 1.0) N)) in N 6.191 * [taylor]: Taking taylor expansion of -1 in N 6.191 * [backup-simplify]: Simplify -1 into -1 6.191 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 6.191 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.191 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.191 * [taylor]: Taking taylor expansion of 0.5 in N 6.191 * [backup-simplify]: Simplify 0.5 into 0.5 6.191 * [taylor]: Taking taylor expansion of N in N 6.191 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify 1 into 1 6.191 * [taylor]: Taking taylor expansion of 1.0 in N 6.191 * [backup-simplify]: Simplify 1.0 into 1.0 6.191 * [taylor]: Taking taylor expansion of N in N 6.191 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify 1 into 1 6.192 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.192 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.193 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.194 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.194 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.195 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0.5 0)) into 1.0 6.195 * [backup-simplify]: Simplify (/ -1 1.0) into -1.0 6.195 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 N) 1.0) N)) in N 6.195 * [taylor]: Taking taylor expansion of -1 in N 6.195 * [backup-simplify]: Simplify -1 into -1 6.195 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 6.195 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.195 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.195 * [taylor]: Taking taylor expansion of 0.5 in N 6.195 * [backup-simplify]: Simplify 0.5 into 0.5 6.195 * [taylor]: Taking taylor expansion of N in N 6.195 * [backup-simplify]: Simplify 0 into 0 6.195 * [backup-simplify]: Simplify 1 into 1 6.195 * [taylor]: Taking taylor expansion of 1.0 in N 6.195 * [backup-simplify]: Simplify 1.0 into 1.0 6.195 * [taylor]: Taking taylor expansion of N in N 6.195 * [backup-simplify]: Simplify 0 into 0 6.195 * [backup-simplify]: Simplify 1 into 1 6.196 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.196 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.196 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.197 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.197 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.198 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0.5 0)) into 1.0 6.199 * [backup-simplify]: Simplify (/ -1 1.0) into -1.0 6.199 * [backup-simplify]: Simplify -1.0 into -1.0 6.200 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.200 * [backup-simplify]: Simplify (+ 0 0) into 0 6.203 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 1) (* 0 0))) into 0.5 6.206 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* -1.0 (/ 0.5 1.0)))) into 0.5 6.207 * [backup-simplify]: Simplify 0.5 into 0.5 6.208 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.208 * [backup-simplify]: Simplify (+ 0 0) into 0 6.210 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 1) (* 0 0)))) into 0 6.221 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* -1.0 (/ 0 1.0)) (* 0.5 (/ 0.5 1.0)))) into (- 0.25) 6.221 * [backup-simplify]: Simplify (- 0.25) into (- 0.25) 6.222 * [backup-simplify]: Simplify (+ (* (- 0.25) (/ 1 (- N))) (+ 0.5 (* -1.0 (/ 1 (/ 1 (- N)))))) into (+ (* 0.25 (/ 1 N)) (+ (* 1.0 N) 0.5)) 6.222 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 6.222 * [backup-simplify]: Simplify (/ 1 (/ N (- 1.0 (/ 0.5 N)))) into (/ (- 1.0 (* 0.5 (/ 1 N))) N) 6.222 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in (N) around 0 6.222 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 6.222 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 6.222 * [taylor]: Taking taylor expansion of 1.0 in N 6.222 * [backup-simplify]: Simplify 1.0 into 1.0 6.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.222 * [taylor]: Taking taylor expansion of 0.5 in N 6.222 * [backup-simplify]: Simplify 0.5 into 0.5 6.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.222 * [taylor]: Taking taylor expansion of N in N 6.223 * [backup-simplify]: Simplify 0 into 0 6.223 * [backup-simplify]: Simplify 1 into 1 6.223 * [backup-simplify]: Simplify (/ 1 1) into 1 6.223 * [taylor]: Taking taylor expansion of N in N 6.223 * [backup-simplify]: Simplify 0 into 0 6.223 * [backup-simplify]: Simplify 1 into 1 6.223 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.224 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.225 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.226 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 6.226 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 6.226 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 6.226 * [taylor]: Taking taylor expansion of 1.0 in N 6.226 * [backup-simplify]: Simplify 1.0 into 1.0 6.226 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.226 * [taylor]: Taking taylor expansion of 0.5 in N 6.226 * [backup-simplify]: Simplify 0.5 into 0.5 6.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.226 * [taylor]: Taking taylor expansion of N in N 6.226 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify 1 into 1 6.226 * [backup-simplify]: Simplify (/ 1 1) into 1 6.226 * [taylor]: Taking taylor expansion of N in N 6.226 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify 1 into 1 6.227 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.227 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.228 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.229 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 6.229 * [backup-simplify]: Simplify -0.5 into -0.5 6.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.230 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.231 * [backup-simplify]: Simplify (- 0) into 0 6.231 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.233 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -0.5 (/ 0 1)))) into 1.0 6.233 * [backup-simplify]: Simplify 1.0 into 1.0 6.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.235 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.236 * [backup-simplify]: Simplify (- 0) into 0 6.236 * [backup-simplify]: Simplify (+ 0 0) into 0 6.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.237 * [backup-simplify]: Simplify 0 into 0 6.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.239 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.239 * [backup-simplify]: Simplify (- 0) into 0 6.240 * [backup-simplify]: Simplify (+ 0 0) into 0 6.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.241 * [backup-simplify]: Simplify 0 into 0 6.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.244 * [backup-simplify]: Simplify (- 0) into 0 6.244 * [backup-simplify]: Simplify (+ 0 0) into 0 6.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.245 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.248 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.248 * [backup-simplify]: Simplify (- 0) into 0 6.248 * [backup-simplify]: Simplify (+ 0 0) into 0 6.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.249 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.252 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.252 * [backup-simplify]: Simplify (- 0) into 0 6.253 * [backup-simplify]: Simplify (+ 0 0) into 0 6.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.254 * [backup-simplify]: Simplify 0 into 0 6.255 * [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 6.257 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.257 * [backup-simplify]: Simplify (- 0) into 0 6.257 * [backup-simplify]: Simplify (+ 0 0) into 0 6.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 6.259 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 N) (- 1.0 (/ 0.5 (/ 1 N))))) into (* N (- 1.0 (* 0.5 N))) 6.259 * [approximate]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in (N) around 0 6.259 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 6.259 * [taylor]: Taking taylor expansion of N in N 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 1 into 1 6.259 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.260 * [taylor]: Taking taylor expansion of 1.0 in N 6.260 * [backup-simplify]: Simplify 1.0 into 1.0 6.260 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.260 * [taylor]: Taking taylor expansion of 0.5 in N 6.260 * [backup-simplify]: Simplify 0.5 into 0.5 6.260 * [taylor]: Taking taylor expansion of N in N 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 1 into 1 6.260 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 6.260 * [taylor]: Taking taylor expansion of N in N 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 1 into 1 6.260 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.260 * [taylor]: Taking taylor expansion of 1.0 in N 6.260 * [backup-simplify]: Simplify 1.0 into 1.0 6.260 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.260 * [taylor]: Taking taylor expansion of 0.5 in N 6.260 * [backup-simplify]: Simplify 0.5 into 0.5 6.260 * [taylor]: Taking taylor expansion of N in N 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 1 into 1 6.261 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.261 * [backup-simplify]: Simplify (- 0) into 0 6.261 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.262 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.262 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.264 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.264 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.266 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 6.266 * [backup-simplify]: Simplify 1.0 into 1.0 6.267 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.268 * [backup-simplify]: Simplify (- 0) into 0 6.268 * [backup-simplify]: Simplify (+ 0 0) into 0 6.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 6.272 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.273 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.273 * [backup-simplify]: Simplify (- 0) into 0 6.273 * [backup-simplify]: Simplify (+ 0 0) into 0 6.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0 6.275 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.276 * [backup-simplify]: Simplify (- 0) into 0 6.277 * [backup-simplify]: Simplify (+ 0 0) into 0 6.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))) into 0 6.278 * [backup-simplify]: Simplify 0 into 0 6.280 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.280 * [backup-simplify]: Simplify (- 0) into 0 6.281 * [backup-simplify]: Simplify (+ 0 0) into 0 6.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))) into 0 6.282 * [backup-simplify]: Simplify 0 into 0 6.284 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.284 * [backup-simplify]: Simplify (- 0) into 0 6.285 * [backup-simplify]: Simplify (+ 0 0) into 0 6.287 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))) into 0 6.287 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.289 * [backup-simplify]: Simplify (- 0) into 0 6.289 * [backup-simplify]: Simplify (+ 0 0) into 0 6.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))))) into 0 6.291 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 6.294 * [backup-simplify]: Simplify (- 0) into 0 6.294 * [backup-simplify]: Simplify (+ 0 0) into 0 6.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))))) into 0 6.296 * [backup-simplify]: Simplify 0 into 0 6.297 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 6.297 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- N)) (- 1.0 (/ 0.5 (/ 1 (- N)))))) into (* -1 (* (+ (* 0.5 N) 1.0) N)) 6.297 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in (N) around 0 6.298 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 6.298 * [taylor]: Taking taylor expansion of -1 in N 6.298 * [backup-simplify]: Simplify -1 into -1 6.298 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 6.298 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.298 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.298 * [taylor]: Taking taylor expansion of 0.5 in N 6.298 * [backup-simplify]: Simplify 0.5 into 0.5 6.298 * [taylor]: Taking taylor expansion of N in N 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify 1 into 1 6.298 * [taylor]: Taking taylor expansion of 1.0 in N 6.298 * [backup-simplify]: Simplify 1.0 into 1.0 6.298 * [taylor]: Taking taylor expansion of N in N 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify 1 into 1 6.298 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 6.298 * [taylor]: Taking taylor expansion of -1 in N 6.298 * [backup-simplify]: Simplify -1 into -1 6.298 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 6.298 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.298 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.298 * [taylor]: Taking taylor expansion of 0.5 in N 6.298 * [backup-simplify]: Simplify 0.5 into 0.5 6.298 * [taylor]: Taking taylor expansion of N in N 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify 1 into 1 6.298 * [taylor]: Taking taylor expansion of 1.0 in N 6.298 * [backup-simplify]: Simplify 1.0 into 1.0 6.298 * [taylor]: Taking taylor expansion of N in N 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify 1 into 1 6.299 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.299 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.300 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.300 * [backup-simplify]: Simplify (* -1 0) into 0 6.300 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.302 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.304 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0.5 0)) into 1.0 6.305 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 0)) into (- 1.0) 6.306 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.307 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.307 * [backup-simplify]: Simplify (+ 0 0) into 0 6.310 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 1) (* 0 0))) into 0.5 6.313 * [backup-simplify]: Simplify (+ (* -1 0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.5) 6.313 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.314 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.315 * [backup-simplify]: Simplify (+ 0 0) into 0 6.316 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 1) (* 0 0)))) into 0 6.317 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))) into 0 6.318 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.319 * [backup-simplify]: Simplify (+ 0 0) into 0 6.321 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.322 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))) into 0 6.322 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.324 * [backup-simplify]: Simplify (+ 0 0) into 0 6.326 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.328 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))) into 0 6.328 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.330 * [backup-simplify]: Simplify (+ 0 0) into 0 6.332 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.334 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))) into 0 6.334 * [backup-simplify]: Simplify 0 into 0 6.336 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.336 * [backup-simplify]: Simplify (+ 0 0) into 0 6.338 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.340 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))))) into 0 6.341 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 6.343 * [backup-simplify]: Simplify (+ 0 0) into 0 6.346 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 6.348 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))))) into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 6.349 * * * [progress]: simplifying candidates 6.358 * [simplify]: Simplifying: (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (/ 1 (/ N (- 1.0 (/ 0.5 N)))))) (log (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N)))))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N)))))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N)))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N))))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N)))))) (* (* (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N))))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 N)))))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1 (/ N (- 1.0 (/ 0.5 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(/ 1 (sqrt (/ N (- 1.0 (/ 0.5 N))))) (/ 1 (/ (* (cbrt N) (cbrt N)) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))))) (/ 1 (/ (* (cbrt N) (cbrt N)) (sqrt (- 1.0 (/ 0.5 N))))) (/ 1 (/ (* (cbrt N) (cbrt N)) 1)) (/ 1 (/ (* (cbrt N) (cbrt N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))))) (/ 1 (/ (* (cbrt N) (cbrt N)) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) (/ 1 (/ (* (cbrt N) (cbrt N)) 1)) (/ 1 (/ (sqrt N) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))))) (/ 1 (/ (sqrt N) (sqrt (- 1.0 (/ 0.5 N))))) (/ 1 (/ (sqrt N) 1)) (/ 1 (/ (sqrt N) (+ (sqrt 1.0) (sqrt (/ 0.5 N))))) (/ 1 (/ (sqrt N) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) (/ 1 (/ (sqrt N) 1)) (/ 1 (/ 1 (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))))) (/ 1 (/ 1 (sqrt (- 1.0 (/ 0.5 N))))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (+ (sqrt 1.0) (sqrt (/ 0.5 N))))) (/ 1 (/ 1 (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 N) (/ 1 (/ N (- (pow 1.0 3) (pow (/ 0.5 N) 3)))) (/ 1 (/ N (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))))) (/ (/ N (- 1.0 (/ 0.5 N))) (cbrt 1)) (/ (/ N (- 1.0 (/ 0.5 N))) (sqrt 1)) (/ (/ N (- 1.0 (/ 0.5 N))) 1) (/ 1 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)))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (+ (* 2.0 (pow N 2)) (+ (* 8.0 (pow N 4)) (* 4.0 (pow N 3))))) (+ (* 0.25 (/ 1 N)) (+ (* 1.0 N) 0.5)) (+ (* 0.25 (/ 1 N)) (+ (* 1.0 N) 0.5)) (- (* 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)))) 6.379 * * [simplify]: Extracting # 0 : cost 0 6.380 * * [simplify]: Extracting # 1 : cost 0 6.382 * * [simplify]: Extracting # 2 : cost 0 6.383 * * [simplify]: Extracting # 3 : cost 0 6.384 * * [simplify]: Extracting # 4 : cost 0 6.386 * * [simplify]: Extracting # 5 : cost 0 6.387 * * [simplify]: Extracting # 6 : cost 0 6.388 * * [simplify]: Extracting # 7 : cost 0 6.389 * * [simplify]: Extracting # 8 : cost 0 6.390 * * [simplify]: Extracting # 9 : cost 0 6.391 * * [simplify]: iteration 0 : 367 enodes (cost 4138 ) 6.682 * * [simplify]: Extracting # 0 : cost 0 6.684 * * [simplify]: Extracting # 1 : cost 0 6.686 * * [simplify]: Extracting # 2 : cost 0 6.688 * * [simplify]: Extracting # 3 : cost 0 6.689 * * [simplify]: Extracting # 4 : cost 0 6.691 * * [simplify]: iteration 1 : 776 enodes (cost 3570 ) 7.601 * * [simplify]: Extracting # 0 : cost 0 7.611 * * [simplify]: Extracting # 1 : cost 0 7.615 * * [simplify]: Extracting # 2 : cost 0 7.619 * * [simplify]: Extracting # 3 : cost 0 7.623 * * [simplify]: iteration 2 : 2020 enodes (cost 3239 ) 8.362 * * [simplify]: Extracting # 0 : cost 0 8.367 * * [simplify]: Extracting # 1 : cost 0 8.383 * * [simplify]: Extracting # 2 : cost 0 8.395 * * [simplify]: Extracting # 3 : cost 0 8.406 * * 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(/ 1 (/ (cbrt N) (cbrt (- 1.0 (/ 0.5 N))))) (/ (sqrt (- 1.0 (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ 1 (/ (cbrt N) (- (sqrt 1.0) (sqrt (/ 0.5 N))))) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (* (cbrt N) (cbrt N))) (/ 1 (/ (cbrt N) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt N)) (* (/ 1 (sqrt N)) (cbrt (- 1.0 (/ 0.5 N)))) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (* (/ 1 (sqrt N)) (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (/ 1 (/ (sqrt N) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (* (/ 1 N) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt (- 1.0 (/ 0.5 N))) (/ (sqrt (- 1.0 (/ 0.5 N))) N) 1 (/ (- 1.0 (/ 0.5 N)) N) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (/ 1 N) (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (/ 1 (/ N (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) 1 (/ (- 1.0 (/ 0.5 N)) N) 1 (/ (- 1.0 (/ 0.5 N)) N) (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 1 (/ N (- (pow 1.0 3) (pow (/ 0.5 N) 3)))) (/ 1 (+ (* 1.0 1.0) (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (* (/ 1 N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (/ 1 (+ 1.0 (/ 0.5 N))) (/ (/ 1 (cbrt (/ N (- 1.0 (/ 0.5 N))))) (cbrt (/ N (- 1.0 (/ 0.5 N))))) (/ 1 (cbrt (/ N (- 1.0 (/ 0.5 N))))) (/ 1 (sqrt (/ N (- 1.0 (/ 0.5 N))))) (/ 1 (sqrt (/ N (- 1.0 (/ 0.5 N))))) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (* (cbrt N) (cbrt N))) (/ 1 (/ (cbrt N) (cbrt (- 1.0 (/ 0.5 N))))) (/ (sqrt (- 1.0 (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ 1 (/ (cbrt N) (- (sqrt 1.0) (sqrt (/ 0.5 N))))) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (* (cbrt N) (cbrt N))) (/ 1 (/ (cbrt N) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt N)) (* (/ 1 (sqrt N)) (cbrt (- 1.0 (/ 0.5 N)))) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (* (/ 1 (sqrt N)) (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (/ 1 (/ (sqrt N) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (* (/ 1 N) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt (- 1.0 (/ 0.5 N))) (/ (sqrt (- 1.0 (/ 0.5 N))) N) 1 (/ (- 1.0 (/ 0.5 N)) N) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (/ 1 N) (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (/ 1 (/ N (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) 1 (/ (- 1.0 (/ 0.5 N)) N) 1 (/ (- 1.0 (/ 0.5 N)) N) (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 1 (/ N (- (pow 1.0 3) (pow (/ 0.5 N) 3)))) (/ 1 (+ (* 1.0 1.0) (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (* (/ 1 N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (/ 1 (+ 1.0 (/ 0.5 N))) (/ (- 1.0 (/ 0.5 N)) N) (/ N (- 1.0 (/ 0.5 N))) (/ (/ 1 (cbrt (/ N (- 1.0 (/ 0.5 N))))) (cbrt (/ N (- 1.0 (/ 0.5 N))))) (/ 1 (sqrt (/ N (- 1.0 (/ 0.5 N))))) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (* (cbrt N) (cbrt N))) (/ (sqrt (- 1.0 (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (* (cbrt N) (cbrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ 1 (sqrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (/ 1 (sqrt N)) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt (- 1.0 (/ 0.5 N))) 1 (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 1 1 (/ 1 N) (/ 1 (/ N (- (pow 1.0 3) (pow (/ 0.5 N) 3)))) (* (/ 1 N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (/ N (- 1.0 (/ 0.5 N))) (/ N (- 1.0 (/ 0.5 N))) (/ N (- 1.0 (/ 0.5 N))) (/ 1 N) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (+ (* 2.0 (pow N 2)) (+ (* 8.0 (pow N 4)) (* 4.0 (pow N 3))))) (+ (/ 0.25 N) (+ (* 1.0 N) 0.5)) (+ (/ 0.25 N) (+ (* 1.0 N) 0.5)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) 8.414 * * * [progress]: adding candidates to table 9.063 * * [progress]: iteration 4 / 4 9.063 * * * [progress]: picking best candidate 9.076 * * * * [pick]: Picked # 9.076 * * * [progress]: localizing error 9.087 * * * [progress]: generating rewritten candidates 9.087 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 9.099 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 9.140 * * * [progress]: generating series expansions 9.140 * * * * [progress]: [ 1 / 2 ] generating series at (2) 9.140 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 9.140 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 9.140 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 9.140 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 9.140 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.140 * [taylor]: Taking taylor expansion of N in N 9.140 * [backup-simplify]: Simplify 0 into 0 9.140 * [backup-simplify]: Simplify 1 into 1 9.140 * [taylor]: Taking taylor expansion of 1.0 in N 9.140 * [backup-simplify]: Simplify 1.0 into 1.0 9.141 * [taylor]: Taking taylor expansion of N in N 9.141 * [backup-simplify]: Simplify 0 into 0 9.141 * [backup-simplify]: Simplify 1 into 1 9.141 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.142 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.142 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.142 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 9.142 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 9.142 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.142 * [taylor]: Taking taylor expansion of N in N 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify 1 into 1 9.142 * [taylor]: Taking taylor expansion of 1.0 in N 9.142 * [backup-simplify]: Simplify 1.0 into 1.0 9.142 * [taylor]: Taking taylor expansion of N in N 9.143 * [backup-simplify]: Simplify 0 into 0 9.143 * [backup-simplify]: Simplify 1 into 1 9.143 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.143 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.144 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.145 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 9.145 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 9.146 * [backup-simplify]: Simplify (+ 1 0) into 1 9.147 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 9.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.153 * [backup-simplify]: Simplify 1.0 into 1.0 9.153 * [backup-simplify]: Simplify (+ 0 0) into 0 9.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.165 * [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)) 9.166 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 9.168 * [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))) 9.168 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 9.168 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 9.168 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 9.168 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 9.168 * [taylor]: Taking taylor expansion of N in N 9.168 * [backup-simplify]: Simplify 0 into 0 9.168 * [backup-simplify]: Simplify 1 into 1 9.168 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.169 * [taylor]: Taking taylor expansion of N in N 9.169 * [backup-simplify]: Simplify 0 into 0 9.169 * [backup-simplify]: Simplify 1 into 1 9.169 * [backup-simplify]: Simplify (/ 1 1) into 1 9.169 * [taylor]: Taking taylor expansion of 1.0 in N 9.169 * [backup-simplify]: Simplify 1.0 into 1.0 9.169 * [backup-simplify]: Simplify (+ 1 0) into 1 9.170 * [backup-simplify]: Simplify (* 0 1) into 0 9.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.171 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.172 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 9.172 * [backup-simplify]: Simplify (log 1) into 0 9.172 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 9.172 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 9.172 * [taylor]: Taking taylor expansion of N in N 9.172 * [backup-simplify]: Simplify 0 into 0 9.172 * [backup-simplify]: Simplify 1 into 1 9.172 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.172 * [taylor]: Taking taylor expansion of N in N 9.172 * [backup-simplify]: Simplify 0 into 0 9.172 * [backup-simplify]: Simplify 1 into 1 9.173 * [backup-simplify]: Simplify (/ 1 1) into 1 9.173 * [taylor]: Taking taylor expansion of 1.0 in N 9.173 * [backup-simplify]: Simplify 1.0 into 1.0 9.173 * [backup-simplify]: Simplify (+ 1 0) into 1 9.173 * [backup-simplify]: Simplify (* 0 1) into 0 9.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.175 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.175 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 9.176 * [backup-simplify]: Simplify (log 1) into 0 9.176 * [backup-simplify]: Simplify 0 into 0 9.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.177 * [backup-simplify]: Simplify (+ 0 0) into 0 9.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 9.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.192 * [backup-simplify]: Simplify 1.0 into 1.0 9.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.193 * [backup-simplify]: Simplify (+ 0 0) into 0 9.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 9.206 * [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 9.206 * [backup-simplify]: Simplify -0.5 into -0.5 9.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.207 * [backup-simplify]: Simplify (+ 0 0) into 0 9.209 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 9.227 * [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 9.227 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.228 * [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)))) 9.228 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 9.228 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 9.228 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 9.228 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 9.228 * [taylor]: Taking taylor expansion of -1 in N 9.229 * [backup-simplify]: Simplify -1 into -1 9.229 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 9.229 * [taylor]: Taking taylor expansion of N in N 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 1 into 1 9.229 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.229 * [taylor]: Taking taylor expansion of 1.0 in N 9.229 * [backup-simplify]: Simplify 1.0 into 1.0 9.229 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.229 * [taylor]: Taking taylor expansion of N in N 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 1 into 1 9.229 * [backup-simplify]: Simplify (/ 1 1) into 1 9.230 * [backup-simplify]: Simplify (- 1) into -1 9.230 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.230 * [backup-simplify]: Simplify (* 0 -1) into 0 9.231 * [backup-simplify]: Simplify (* -1 0) into 0 9.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.232 * [backup-simplify]: Simplify (- 0) into 0 9.232 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.233 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 9.234 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.234 * [backup-simplify]: Simplify (log 1) into 0 9.234 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 9.234 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 9.234 * [taylor]: Taking taylor expansion of -1 in N 9.234 * [backup-simplify]: Simplify -1 into -1 9.234 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 9.234 * [taylor]: Taking taylor expansion of N in N 9.234 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify 1 into 1 9.234 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.234 * [taylor]: Taking taylor expansion of 1.0 in N 9.234 * [backup-simplify]: Simplify 1.0 into 1.0 9.234 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.234 * [taylor]: Taking taylor expansion of N in N 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify 1 into 1 9.235 * [backup-simplify]: Simplify (/ 1 1) into 1 9.235 * [backup-simplify]: Simplify (- 1) into -1 9.236 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.236 * [backup-simplify]: Simplify (* 0 -1) into 0 9.236 * [backup-simplify]: Simplify (* -1 0) into 0 9.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.238 * [backup-simplify]: Simplify (- 0) into 0 9.238 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.239 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 9.239 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.240 * [backup-simplify]: Simplify (log 1) into 0 9.240 * [backup-simplify]: Simplify 0 into 0 9.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.241 * [backup-simplify]: Simplify (- 0) into 0 9.241 * [backup-simplify]: Simplify (+ 0 0) into 0 9.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 9.246 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 9.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 9.254 * [backup-simplify]: Simplify -1.0 into -1.0 9.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.256 * [backup-simplify]: Simplify (- 0) into 0 9.256 * [backup-simplify]: Simplify (+ 0 0) into 0 9.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 9.258 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 9.271 * [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 9.271 * [backup-simplify]: Simplify -0.5 into -0.5 9.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.272 * [backup-simplify]: Simplify (- 0) into 0 9.273 * [backup-simplify]: Simplify (+ 0 0) into 0 9.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 9.276 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 9.296 * [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 9.296 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 9.297 * [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)))) 9.297 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 9.297 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 9.297 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 9.297 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 9.297 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.297 * [taylor]: Taking taylor expansion of N in N 9.297 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify 1 into 1 9.297 * [taylor]: Taking taylor expansion of 1.0 in N 9.297 * [backup-simplify]: Simplify 1.0 into 1.0 9.297 * [taylor]: Taking taylor expansion of N in N 9.297 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify 1 into 1 9.298 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.298 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.298 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 9.298 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.298 * [taylor]: Taking taylor expansion of N in N 9.298 * [backup-simplify]: Simplify 0 into 0 9.298 * [backup-simplify]: Simplify 1 into 1 9.298 * [taylor]: Taking taylor expansion of 1.0 in N 9.298 * [backup-simplify]: Simplify 1.0 into 1.0 9.298 * [taylor]: Taking taylor expansion of N in N 9.298 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify 1 into 1 9.299 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.299 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.299 * [backup-simplify]: Simplify 1.0 into 1.0 9.300 * [backup-simplify]: Simplify (+ 1 0) into 1 9.301 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 9.301 * [backup-simplify]: Simplify 1 into 1 9.301 * [backup-simplify]: Simplify (+ 0 0) into 0 9.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.302 * [backup-simplify]: Simplify 0 into 0 9.303 * [backup-simplify]: Simplify (+ 0 0) into 0 9.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.304 * [backup-simplify]: Simplify 0 into 0 9.304 * [backup-simplify]: Simplify (+ 0 0) into 0 9.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.306 * [backup-simplify]: Simplify 0 into 0 9.306 * [backup-simplify]: Simplify (+ 0 0) into 0 9.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.307 * [backup-simplify]: Simplify 0 into 0 9.307 * [backup-simplify]: Simplify (+ 0 0) into 0 9.308 * [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 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify (+ 0 0) into 0 9.309 * [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 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 9.309 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 9.309 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 9.309 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 9.309 * [taylor]: Taking taylor expansion of N in N 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify 1 into 1 9.309 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.309 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.309 * [taylor]: Taking taylor expansion of N in N 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify 1 into 1 9.309 * [backup-simplify]: Simplify (/ 1 1) into 1 9.309 * [taylor]: Taking taylor expansion of 1.0 in N 9.309 * [backup-simplify]: Simplify 1.0 into 1.0 9.309 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 9.309 * [taylor]: Taking taylor expansion of N in N 9.309 * [backup-simplify]: Simplify 0 into 0 9.310 * [backup-simplify]: Simplify 1 into 1 9.310 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.310 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.310 * [taylor]: Taking taylor expansion of N in N 9.310 * [backup-simplify]: Simplify 0 into 0 9.310 * [backup-simplify]: Simplify 1 into 1 9.310 * [backup-simplify]: Simplify (/ 1 1) into 1 9.310 * [taylor]: Taking taylor expansion of 1.0 in N 9.310 * [backup-simplify]: Simplify 1.0 into 1.0 9.310 * [backup-simplify]: Simplify (+ 1 0) into 1 9.310 * [backup-simplify]: Simplify (* 0 1) into 0 9.310 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.311 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.312 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 9.312 * [backup-simplify]: Simplify 1 into 1 9.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.312 * [backup-simplify]: Simplify (+ 0 0) into 0 9.314 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 9.314 * [backup-simplify]: Simplify 1.0 into 1.0 9.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.315 * [backup-simplify]: Simplify (+ 0 0) into 0 9.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 9.315 * [backup-simplify]: Simplify 0 into 0 9.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.316 * [backup-simplify]: Simplify (+ 0 0) into 0 9.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 9.317 * [backup-simplify]: Simplify 0 into 0 9.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.318 * [backup-simplify]: Simplify (+ 0 0) into 0 9.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 9.319 * [backup-simplify]: Simplify 0 into 0 9.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.319 * [backup-simplify]: Simplify (+ 0 0) into 0 9.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 9.323 * [backup-simplify]: Simplify 0 into 0 9.324 * [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 9.324 * [backup-simplify]: Simplify (+ 0 0) into 0 9.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 9.326 * [backup-simplify]: Simplify 0 into 0 9.326 * [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 9.326 * [backup-simplify]: Simplify (+ 0 0) into 0 9.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 9.328 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 9.328 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 9.328 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 9.328 * [taylor]: Taking taylor expansion of -1 in N 9.328 * [backup-simplify]: Simplify -1 into -1 9.328 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 9.328 * [taylor]: Taking taylor expansion of N in N 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify 1 into 1 9.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.328 * [taylor]: Taking taylor expansion of 1.0 in N 9.328 * [backup-simplify]: Simplify 1.0 into 1.0 9.328 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.328 * [taylor]: Taking taylor expansion of N in N 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify 1 into 1 9.328 * [backup-simplify]: Simplify (/ 1 1) into 1 9.328 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 9.328 * [taylor]: Taking taylor expansion of -1 in N 9.328 * [backup-simplify]: Simplify -1 into -1 9.328 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 9.328 * [taylor]: Taking taylor expansion of N in N 9.328 * [backup-simplify]: Simplify 0 into 0 9.329 * [backup-simplify]: Simplify 1 into 1 9.329 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.329 * [taylor]: Taking taylor expansion of 1.0 in N 9.329 * [backup-simplify]: Simplify 1.0 into 1.0 9.329 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.329 * [taylor]: Taking taylor expansion of N in N 9.329 * [backup-simplify]: Simplify 0 into 0 9.329 * [backup-simplify]: Simplify 1 into 1 9.329 * [backup-simplify]: Simplify (/ 1 1) into 1 9.329 * [backup-simplify]: Simplify (- 1) into -1 9.329 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.330 * [backup-simplify]: Simplify (* 0 -1) into 0 9.330 * [backup-simplify]: Simplify (* -1 0) into 0 9.330 * [backup-simplify]: Simplify 0 into 0 9.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.331 * [backup-simplify]: Simplify (- 0) into 0 9.331 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.331 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 9.332 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.332 * [backup-simplify]: Simplify 1 into 1 9.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.332 * [backup-simplify]: Simplify (- 0) into 0 9.333 * [backup-simplify]: Simplify (+ 0 0) into 0 9.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 9.335 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 9.336 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.336 * [backup-simplify]: Simplify (- 0) into 0 9.337 * [backup-simplify]: Simplify (+ 0 0) into 0 9.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 9.338 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 9.338 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.339 * [backup-simplify]: Simplify (- 0) into 0 9.340 * [backup-simplify]: Simplify (+ 0 0) into 0 9.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 9.343 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 9.343 * [backup-simplify]: Simplify 0 into 0 9.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.344 * [backup-simplify]: Simplify (- 0) into 0 9.344 * [backup-simplify]: Simplify (+ 0 0) into 0 9.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 9.348 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 9.348 * [backup-simplify]: Simplify 0 into 0 9.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.350 * [backup-simplify]: Simplify (- 0) into 0 9.350 * [backup-simplify]: Simplify (+ 0 0) into 0 9.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 9.354 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 9.354 * [backup-simplify]: Simplify 0 into 0 9.355 * [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 9.356 * [backup-simplify]: Simplify (- 0) into 0 9.356 * [backup-simplify]: Simplify (+ 0 0) into 0 9.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 9.360 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 9.360 * [backup-simplify]: Simplify 0 into 0 9.361 * [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 9.362 * [backup-simplify]: Simplify (- 0) into 0 9.362 * [backup-simplify]: Simplify (+ 0 0) into 0 9.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 9.367 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 9.367 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 9.368 * * * [progress]: simplifying candidates 9.371 * [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) 9.373 * * [simplify]: Extracting # 0 : cost 0 9.373 * * [simplify]: Extracting # 1 : cost 0 9.374 * * [simplify]: Extracting # 2 : cost 0 9.374 * * [simplify]: Extracting # 3 : cost 0 9.374 * * [simplify]: Extracting # 4 : cost 0 9.374 * * [simplify]: Extracting # 5 : cost 0 9.375 * * [simplify]: Extracting # 6 : cost 0 9.375 * * [simplify]: Extracting # 7 : cost 0 9.375 * * [simplify]: Extracting # 8 : cost 0 9.375 * * [simplify]: Extracting # 9 : cost 0 9.376 * * [simplify]: Extracting # 10 : cost 0 9.376 * * [simplify]: iteration 0 : 108 enodes (cost 723 ) 9.423 * * [simplify]: Extracting # 0 : cost 0 9.424 * * [simplify]: Extracting # 1 : cost 0 9.424 * * [simplify]: Extracting # 2 : cost 0 9.425 * * [simplify]: Extracting # 3 : cost 0 9.425 * * [simplify]: Extracting # 4 : cost 0 9.426 * * [simplify]: iteration 1 : 232 enodes (cost 690 ) 9.509 * * [simplify]: Extracting # 0 : cost 0 9.510 * * [simplify]: Extracting # 1 : cost 0 9.511 * * [simplify]: Extracting # 2 : cost 0 9.511 * * [simplify]: Extracting # 3 : cost 0 9.512 * * [simplify]: Extracting # 4 : cost 0 9.512 * * [simplify]: iteration 2 : 583 enodes (cost 637 ) 9.757 * * [simplify]: Extracting # 0 : cost 0 9.760 * * [simplify]: Extracting # 1 : cost 0 9.763 * * [simplify]: Extracting # 2 : cost 0 9.765 * * [simplify]: Extracting # 3 : cost 0 9.768 * * [simplify]: Extracting # 4 : cost 0 9.771 * * [simplify]: iteration 3 : 1417 enodes (cost 624 ) 11.248 * * [simplify]: Extracting # 0 : cost 0 11.253 * * [simplify]: Extracting # 1 : cost 0 11.260 * * [simplify]: Extracting # 2 : cost 0 11.263 * * [simplify]: Extracting # 3 : cost 0 11.266 * * [simplify]: Extracting # 4 : cost 0 11.270 * * [simplify]: iteration 4 : 3874 enodes (cost 622 ) 12.598 * * [simplify]: Extracting # 0 : cost 0 12.609 * * [simplify]: Extracting # 1 : cost 0 12.618 * * [simplify]: Extracting # 2 : cost 0 12.629 * * [simplify]: iteration done: 5001 enodes (cost 622 ) 12.630 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (+ (* 1.0 (- 1.0 N)) (* N N))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (/ (+ 1.0 N) N) (/ (+ 1.0 N) N) (/ (+ 1.0 N) N) 12.631 * * * [progress]: adding candidates to table 12.761 * [progress]: [Phase 3 of 3] Extracting. 12.761 * * [regime]: Finding splitpoints for: (# # # #) 12.761 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.761 * * * * [regimes]: Trying to branch on N from (# # # #) 12.792 * * * [regime]: Found split indices: #