16.234 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.053 * * * [progress]: [2/2] Setting up program. 0.055 * [progress]: [Phase 2 of 3] Improving. 0.056 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.056 * * [simplify]: Extracting # 0 : cost 0 0.056 * * [simplify]: Extracting # 1 : cost 0 0.056 * * [simplify]: Extracting # 2 : cost 0 0.056 * * [simplify]: Extracting # 3 : cost 0 0.056 * * [simplify]: Extracting # 4 : cost 0 0.056 * * [simplify]: Extracting # 5 : cost 0 0.056 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.058 * * [simplify]: Extracting # 0 : cost 0 0.058 * * [simplify]: Extracting # 1 : cost 0 0.058 * * [simplify]: Extracting # 2 : cost 0 0.058 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.061 * * [simplify]: Extracting # 0 : cost 0 0.061 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.063 * * [simplify]: Extracting # 0 : cost 0 0.064 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.064 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.064 * * [progress]: iteration 1 / 4 0.064 * * * [progress]: picking best candidate 0.069 * * * * [pick]: Picked # 0.069 * * * [progress]: localizing error 0.084 * * * [progress]: generating rewritten candidates 0.084 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.093 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.139 * * * [progress]: generating series expansions 0.139 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.141 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.141 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.141 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.141 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.141 * [taylor]: Taking taylor expansion of N in N 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [taylor]: Taking taylor expansion of 1.0 in N 0.141 * [backup-simplify]: Simplify 1.0 into 1.0 0.142 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.143 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 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 0.144 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.144 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.145 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [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)))) 0.172 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.172 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 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 0.173 * [taylor]: Taking taylor expansion of 1.0 in N 0.173 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [backup-simplify]: Simplify (+ 1 0) into 1 0.174 * [backup-simplify]: Simplify (log 1) into 0 0.174 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of 1.0 in N 0.174 * [backup-simplify]: Simplify 1.0 into 1.0 0.175 * [backup-simplify]: Simplify (+ 1 0) into 1 0.175 * [backup-simplify]: Simplify (log 1) into 0 0.176 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.176 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.184 * [backup-simplify]: Simplify 1.0 into 1.0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [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 0.197 * [backup-simplify]: Simplify -0.5 into -0.5 0.197 * [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)))) 0.198 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.198 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.198 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.198 * [taylor]: Taking taylor expansion of 1.0 in N 0.198 * [backup-simplify]: Simplify 1.0 into 1.0 0.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [backup-simplify]: Simplify (- 1) into -1 0.199 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.199 * [backup-simplify]: Simplify (log -1) into (log -1) 0.199 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.200 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.200 * [taylor]: Taking taylor expansion of 1.0 in N 0.200 * [backup-simplify]: Simplify 1.0 into 1.0 0.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.200 * [taylor]: Taking taylor expansion of N in N 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [backup-simplify]: Simplify (- 1) into -1 0.201 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.201 * [backup-simplify]: Simplify (log -1) into (log -1) 0.202 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.202 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.211 * [backup-simplify]: Simplify -1.0 into -1.0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [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 0.225 * [backup-simplify]: Simplify -0.5 into -0.5 0.226 * [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)))) 0.226 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.226 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.226 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.226 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.226 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.226 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of 1.0 in N 0.226 * [backup-simplify]: Simplify 1.0 into 1.0 0.227 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.227 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.227 * [taylor]: Taking taylor expansion of (log N) in N 0.227 * [taylor]: Taking taylor expansion of N in N 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (log 1) into 0 0.228 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.228 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.228 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.228 * [taylor]: Taking taylor expansion of N in N 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of 1.0 in N 0.228 * [backup-simplify]: Simplify 1.0 into 1.0 0.228 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.229 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.229 * [taylor]: Taking taylor expansion of (log N) in N 0.229 * [taylor]: Taking taylor expansion of N in N 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (log 1) into 0 0.230 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.230 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.231 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.231 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.232 * [backup-simplify]: Simplify (+ 1 0) into 1 0.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.240 * [backup-simplify]: Simplify 1.0 into 1.0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [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)) 0.254 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.259 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.263 * [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))) 0.264 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.264 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.264 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.264 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.264 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.264 * [taylor]: Taking taylor expansion of N in N 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [taylor]: Taking taylor expansion of 1.0 in N 0.264 * [backup-simplify]: Simplify 1.0 into 1.0 0.265 * [backup-simplify]: Simplify (+ 1 0) into 1 0.265 * [backup-simplify]: Simplify (log 1) into 0 0.265 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.265 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.265 * [taylor]: Taking taylor expansion of N in N 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [backup-simplify]: Simplify (log 1) into 0 0.266 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.266 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.266 * [taylor]: Taking taylor expansion of N in N 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [taylor]: Taking taylor expansion of 1.0 in N 0.267 * [backup-simplify]: Simplify 1.0 into 1.0 0.267 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [backup-simplify]: Simplify (log 1) into 0 0.268 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.268 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.268 * [taylor]: Taking taylor expansion of N in N 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify (log 1) into 0 0.270 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.270 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.270 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.270 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.281 * [backup-simplify]: Simplify 1.0 into 1.0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [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 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.306 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [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 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [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 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.321 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.322 * [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)))) 0.322 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.322 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.322 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.322 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.322 * [taylor]: Taking taylor expansion of 1.0 in N 0.322 * [backup-simplify]: Simplify 1.0 into 1.0 0.322 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.322 * [taylor]: Taking taylor expansion of N in N 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [backup-simplify]: Simplify (- 1) into -1 0.323 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.323 * [backup-simplify]: Simplify (log -1) into (log -1) 0.323 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.323 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.323 * [taylor]: Taking taylor expansion of -1 in N 0.323 * [backup-simplify]: Simplify -1 into -1 0.323 * [taylor]: Taking taylor expansion of N in N 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ -1 1) into -1 0.324 * [backup-simplify]: Simplify (log -1) into (log -1) 0.324 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.324 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.324 * [taylor]: Taking taylor expansion of 1.0 in N 0.324 * [backup-simplify]: Simplify 1.0 into 1.0 0.324 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.324 * [taylor]: Taking taylor expansion of N in N 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [backup-simplify]: Simplify (- 1) into -1 0.325 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.325 * [backup-simplify]: Simplify (log -1) into (log -1) 0.325 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.325 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.325 * [taylor]: Taking taylor expansion of -1 in N 0.325 * [backup-simplify]: Simplify -1 into -1 0.325 * [taylor]: Taking taylor expansion of N in N 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ -1 1) into -1 0.326 * [backup-simplify]: Simplify (log -1) into (log -1) 0.326 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.327 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.327 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.328 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.335 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [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 0.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.356 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [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 0.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [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 0.386 * [backup-simplify]: Simplify (- 0) into 0 0.387 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.387 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.389 * [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)))) 0.389 * * * [progress]: simplifying candidates 0.391 * [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)))) 0.393 * * [simplify]: Extracting # 0 : cost 0 0.393 * * [simplify]: Extracting # 1 : cost 0 0.393 * * [simplify]: Extracting # 2 : cost 0 0.394 * * [simplify]: Extracting # 3 : cost 0 0.394 * * [simplify]: Extracting # 4 : cost 0 0.394 * * [simplify]: Extracting # 5 : cost 0 0.394 * * [simplify]: Extracting # 6 : cost 0 0.395 * * [simplify]: Extracting # 7 : cost 0 0.395 * * [simplify]: iteration 0 : 101 enodes (cost 510 ) 0.450 * * [simplify]: Extracting # 0 : cost 0 0.450 * * [simplify]: Extracting # 1 : cost 0 0.451 * * [simplify]: Extracting # 2 : cost 0 0.451 * * [simplify]: Extracting # 3 : cost 0 0.452 * * [simplify]: Extracting # 4 : cost 0 0.452 * * [simplify]: iteration 1 : 213 enodes (cost 488 ) 0.555 * * [simplify]: Extracting # 0 : cost 0 0.556 * * [simplify]: Extracting # 1 : cost 0 0.558 * * [simplify]: Extracting # 2 : cost 0 0.565 * * [simplify]: Extracting # 3 : cost 0 0.566 * * [simplify]: Extracting # 4 : cost 0 0.569 * * [simplify]: iteration 2 : 643 enodes (cost 445 ) 1.005 * * [simplify]: Extracting # 0 : cost 0 1.014 * * [simplify]: Extracting # 1 : cost 0 1.017 * * [simplify]: Extracting # 2 : cost 0 1.021 * * [simplify]: Extracting # 3 : cost 0 1.024 * * [simplify]: Extracting # 4 : cost 0 1.028 * * [simplify]: iteration 3 : 2849 enodes (cost 443 ) 2.011 * * [simplify]: Extracting # 0 : cost 0 2.019 * * [simplify]: Extracting # 1 : cost 0 2.027 * * [simplify]: Extracting # 2 : cost 0 2.045 * * [simplify]: Extracting # 3 : cost 0 2.051 * * [simplify]: Extracting # 4 : cost 0 2.056 * * [simplify]: iteration done: 5001 enodes (cost 438 ) 2.056 * [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) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (* N 1.0)) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (- (+ (* 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))) 2.057 * * * [progress]: adding candidates to table 2.202 * * [progress]: iteration 2 / 4 2.202 * * * [progress]: picking best candidate 2.214 * * * * [pick]: Picked # 2.215 * * * [progress]: localizing error 2.235 * * * [progress]: generating rewritten candidates 2.235 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.447 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.455 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.464 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.496 * * * [progress]: generating series expansions 2.496 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.496 * [backup-simplify]: Simplify (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 2.496 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 2.496 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 2.496 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.496 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.496 * [taylor]: Taking taylor expansion of 1.0 in N 2.496 * [backup-simplify]: Simplify 1.0 into 1.0 2.496 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.496 * [taylor]: Taking taylor expansion of N in N 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 1 into 1 2.497 * [backup-simplify]: Simplify (/ 1 1) into 1 2.497 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.497 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.497 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.497 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.497 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.497 * [taylor]: Taking taylor expansion of N in N 2.497 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify 1 into 1 2.497 * [backup-simplify]: Simplify (* 1 1) into 1 2.498 * [backup-simplify]: Simplify (* 1 1) into 1 2.498 * [backup-simplify]: Simplify (/ 1 1) into 1 2.498 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.498 * [taylor]: Taking taylor expansion of 0.5 in N 2.498 * [backup-simplify]: Simplify 0.5 into 0.5 2.498 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.498 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.498 * [taylor]: Taking taylor expansion of N in N 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify 1 into 1 2.498 * [backup-simplify]: Simplify (* 1 1) into 1 2.498 * [backup-simplify]: Simplify (/ 1 1) into 1 2.498 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 2.498 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.499 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.499 * [taylor]: Taking taylor expansion of 1.0 in N 2.499 * [backup-simplify]: Simplify 1.0 into 1.0 2.499 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.499 * [taylor]: Taking taylor expansion of N in N 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 1 into 1 2.499 * [backup-simplify]: Simplify (/ 1 1) into 1 2.499 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.499 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.499 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.499 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.499 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.499 * [taylor]: Taking taylor expansion of N in N 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 1 into 1 2.499 * [backup-simplify]: Simplify (* 1 1) into 1 2.499 * [backup-simplify]: Simplify (* 1 1) into 1 2.500 * [backup-simplify]: Simplify (/ 1 1) into 1 2.500 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.500 * [taylor]: Taking taylor expansion of 0.5 in N 2.500 * [backup-simplify]: Simplify 0.5 into 0.5 2.500 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.500 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.500 * [taylor]: Taking taylor expansion of N in N 2.500 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify 1 into 1 2.500 * [backup-simplify]: Simplify (* 1 1) into 1 2.500 * [backup-simplify]: Simplify (/ 1 1) into 1 2.501 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.501 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.501 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.501 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.503 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.503 * [backup-simplify]: Simplify (+ 0 0) into 0 2.503 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.504 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.504 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.504 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.505 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.507 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.507 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.508 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.508 * [backup-simplify]: Simplify (- 0) into 0 2.509 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.509 * [backup-simplify]: Simplify 1.0 into 1.0 2.509 * [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)))) 2.510 * [backup-simplify]: Simplify (+ (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) (/ 0.3333333333333333 (pow (/ 1 N) 3))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 2.510 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 2.510 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 2.510 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.510 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.510 * [taylor]: Taking taylor expansion of 1.0 in N 2.510 * [backup-simplify]: Simplify 1.0 into 1.0 2.510 * [taylor]: Taking taylor expansion of N in N 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.510 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.510 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.510 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.510 * [taylor]: Taking taylor expansion of N in N 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.510 * [taylor]: Taking taylor expansion of 0.5 in N 2.510 * [backup-simplify]: Simplify 0.5 into 0.5 2.510 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.510 * [taylor]: Taking taylor expansion of N in N 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 2.510 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.510 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.510 * [taylor]: Taking taylor expansion of 1.0 in N 2.510 * [backup-simplify]: Simplify 1.0 into 1.0 2.510 * [taylor]: Taking taylor expansion of N in N 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.510 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.510 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.510 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.510 * [taylor]: Taking taylor expansion of N in N 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.510 * [taylor]: Taking taylor expansion of 0.5 in N 2.511 * [backup-simplify]: Simplify 0.5 into 0.5 2.511 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.511 * [taylor]: Taking taylor expansion of N in N 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.511 * [backup-simplify]: Simplify (+ 0 0) into 0 2.511 * [backup-simplify]: Simplify (+ 0 0) into 0 2.511 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.513 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.513 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.513 * [backup-simplify]: Simplify 1.0 into 1.0 2.514 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.514 * [backup-simplify]: Simplify (+ 0 0) into 0 2.515 * [backup-simplify]: Simplify (* 1 1) into 1 2.515 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.515 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.516 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.517 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.518 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.518 * [backup-simplify]: Simplify (* 1 1) into 1 2.518 * [backup-simplify]: Simplify (* 1 1) into 1 2.519 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.519 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.520 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.521 * [backup-simplify]: Simplify (- 0) into 0 2.521 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.521 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.522 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.523 * [backup-simplify]: Simplify (+ (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 0.3333333333333333 (pow (/ 1 (- N)) 3))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 2.523 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 2.523 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 2.523 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 2.523 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.523 * [taylor]: Taking taylor expansion of 0.5 in N 2.523 * [backup-simplify]: Simplify 0.5 into 0.5 2.523 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.523 * [taylor]: Taking taylor expansion of N in N 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 1 into 1 2.523 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.523 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.523 * [taylor]: Taking taylor expansion of 1.0 in N 2.523 * [backup-simplify]: Simplify 1.0 into 1.0 2.523 * [taylor]: Taking taylor expansion of N in N 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 1 into 1 2.523 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.523 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.523 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.523 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.523 * [taylor]: Taking taylor expansion of N in N 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 1 into 1 2.523 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 2.523 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 2.523 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.523 * [taylor]: Taking taylor expansion of 0.5 in N 2.523 * [backup-simplify]: Simplify 0.5 into 0.5 2.523 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.523 * [taylor]: Taking taylor expansion of N in N 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 1 into 1 2.523 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.524 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.524 * [taylor]: Taking taylor expansion of 1.0 in N 2.524 * [backup-simplify]: Simplify 1.0 into 1.0 2.524 * [taylor]: Taking taylor expansion of N in N 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify 1 into 1 2.524 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.524 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.524 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.524 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.524 * [taylor]: Taking taylor expansion of N in N 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify 1 into 1 2.524 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.524 * [backup-simplify]: Simplify (+ 0 0) into 0 2.525 * [backup-simplify]: Simplify (+ 0 0) into 0 2.525 * [backup-simplify]: Simplify (- 0) into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.526 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.526 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.526 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.527 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.527 * [backup-simplify]: Simplify (* 1 1) into 1 2.527 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.528 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.528 * [backup-simplify]: Simplify (+ 0 0) into 0 2.528 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 2.528 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.529 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.529 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.530 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.530 * [backup-simplify]: Simplify (* 1 1) into 1 2.531 * [backup-simplify]: Simplify (* 1 1) into 1 2.531 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.531 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.531 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.532 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.532 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.533 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.533 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.533 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 2.533 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 2.533 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 2.533 * [taylor]: Taking taylor expansion of 0.5 in N 2.533 * [backup-simplify]: Simplify 0.5 into 0.5 2.533 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.533 * [taylor]: Taking taylor expansion of N in N 2.533 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [backup-simplify]: Simplify (* 1 1) into 1 2.534 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.534 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 2.534 * [taylor]: Taking taylor expansion of 0.5 in N 2.534 * [backup-simplify]: Simplify 0.5 into 0.5 2.534 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.534 * [taylor]: Taking taylor expansion of N in N 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 1 into 1 2.534 * [backup-simplify]: Simplify (* 1 1) into 1 2.534 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.534 * [backup-simplify]: Simplify 0.5 into 0.5 2.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 2.535 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.539 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.540 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 2.542 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 2.542 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 2.542 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.542 * [taylor]: Taking taylor expansion of 0.5 in N 2.542 * [backup-simplify]: Simplify 0.5 into 0.5 2.542 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.542 * [taylor]: Taking taylor expansion of N in N 2.542 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 1 into 1 2.543 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.543 * [taylor]: Taking taylor expansion of 0.5 in N 2.543 * [backup-simplify]: Simplify 0.5 into 0.5 2.543 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.543 * [taylor]: Taking taylor expansion of N in N 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 1 into 1 2.543 * [backup-simplify]: Simplify (* 1 1) into 1 2.543 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.543 * [backup-simplify]: Simplify 0.5 into 0.5 2.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.544 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.544 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.545 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.545 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.547 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.548 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.548 * [backup-simplify]: Simplify 0 into 0 2.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.552 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.552 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.554 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.554 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 2.555 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 2.555 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 2.555 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.555 * [taylor]: Taking taylor expansion of 0.5 in N 2.555 * [backup-simplify]: Simplify 0.5 into 0.5 2.555 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.555 * [taylor]: Taking taylor expansion of N in N 2.555 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify 1 into 1 2.555 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.555 * [taylor]: Taking taylor expansion of 0.5 in N 2.555 * [backup-simplify]: Simplify 0.5 into 0.5 2.555 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.555 * [taylor]: Taking taylor expansion of N in N 2.555 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify 1 into 1 2.555 * [backup-simplify]: Simplify (* 1 1) into 1 2.556 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.556 * [backup-simplify]: Simplify 0.5 into 0.5 2.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.556 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.556 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.558 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.559 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.561 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.564 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.567 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.567 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 2.568 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.568 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 2.568 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 2.568 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 2.568 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.568 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.568 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.568 * [taylor]: Taking taylor expansion of N in N 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.569 * [backup-simplify]: Simplify (* 1 1) into 1 2.569 * [backup-simplify]: Simplify (* 1 1) into 1 2.570 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 2.570 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 2.570 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.570 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.570 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.570 * [taylor]: Taking taylor expansion of N in N 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify 1 into 1 2.570 * [backup-simplify]: Simplify (* 1 1) into 1 2.570 * [backup-simplify]: Simplify (* 1 1) into 1 2.571 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 2.571 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 2.573 * [backup-simplify]: Simplify 0 into 0 2.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.576 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.580 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.589 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.595 * [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 2.595 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 2.596 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 2.596 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 2.596 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.596 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.596 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.596 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.596 * [taylor]: Taking taylor expansion of N in N 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.596 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.596 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.596 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.596 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.596 * [taylor]: Taking taylor expansion of N in N 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.597 * [backup-simplify]: Simplify (* 1 1) into 1 2.597 * [backup-simplify]: Simplify (* 1 1) into 1 2.598 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.598 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.600 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.603 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.603 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.606 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.606 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.610 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.615 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.615 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.620 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 2.620 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 2.620 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 2.620 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 2.620 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 2.620 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.621 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.621 * [taylor]: Taking taylor expansion of N in N 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 1 into 1 2.621 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 2.621 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 2.621 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.621 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.621 * [taylor]: Taking taylor expansion of N in N 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 1 into 1 2.621 * [backup-simplify]: Simplify (* 1 1) into 1 2.622 * [backup-simplify]: Simplify (* 1 1) into 1 2.622 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 2.622 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.624 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 2.624 * [backup-simplify]: Simplify 0 into 0 2.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.627 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.627 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.629 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.630 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.633 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.633 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.637 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.637 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.642 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.642 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 2.642 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.643 * [backup-simplify]: Simplify (- (/ 1.0 N) (/ 0.5 (* N N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 2.643 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 2.643 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 2.643 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.643 * [taylor]: Taking taylor expansion of 1.0 in N 2.643 * [backup-simplify]: Simplify 1.0 into 1.0 2.643 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.643 * [taylor]: Taking taylor expansion of N in N 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [backup-simplify]: Simplify (/ 1 1) into 1 2.643 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.643 * [taylor]: Taking taylor expansion of 0.5 in N 2.643 * [backup-simplify]: Simplify 0.5 into 0.5 2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.643 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.643 * [taylor]: Taking taylor expansion of N in N 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.644 * [backup-simplify]: Simplify (* 1 1) into 1 2.644 * [backup-simplify]: Simplify (/ 1 1) into 1 2.644 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 2.644 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.644 * [taylor]: Taking taylor expansion of 1.0 in N 2.644 * [backup-simplify]: Simplify 1.0 into 1.0 2.644 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.644 * [taylor]: Taking taylor expansion of N in N 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify 1 into 1 2.645 * [backup-simplify]: Simplify (/ 1 1) into 1 2.645 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.645 * [taylor]: Taking taylor expansion of 0.5 in N 2.645 * [backup-simplify]: Simplify 0.5 into 0.5 2.645 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.645 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.645 * [taylor]: Taking taylor expansion of N in N 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 1 into 1 2.645 * [backup-simplify]: Simplify (* 1 1) into 1 2.646 * [backup-simplify]: Simplify (/ 1 1) into 1 2.646 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.646 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.647 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.647 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.648 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.650 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.650 * [backup-simplify]: Simplify (- 0) into 0 2.651 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.651 * [backup-simplify]: Simplify 1.0 into 1.0 2.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.652 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 2.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.655 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.655 * [backup-simplify]: Simplify (- 0) into 0 2.656 * [backup-simplify]: Simplify (+ 0 0) into 0 2.656 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.657 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 2.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.660 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.661 * [backup-simplify]: Simplify (- 0) into 0 2.661 * [backup-simplify]: Simplify (+ 0 0) into 0 2.661 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.663 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.666 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.667 * [backup-simplify]: Simplify (- 0) into 0 2.667 * [backup-simplify]: Simplify (+ 0 0) into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.669 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.673 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.673 * [backup-simplify]: Simplify (- 0) into 0 2.673 * [backup-simplify]: Simplify (+ 0 0) into 0 2.673 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.675 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.679 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.680 * [backup-simplify]: Simplify (- 0) into 0 2.680 * [backup-simplify]: Simplify (+ 0 0) into 0 2.680 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.683 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.687 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.687 * [backup-simplify]: Simplify (- 0) into 0 2.687 * [backup-simplify]: Simplify (+ 0 0) into 0 2.687 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* (- 0.5) (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 2.688 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) into (- (* 1.0 N) (* 0.5 (pow N 2))) 2.688 * [approximate]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in (N) around 0 2.689 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 2.689 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.689 * [taylor]: Taking taylor expansion of 1.0 in N 2.689 * [backup-simplify]: Simplify 1.0 into 1.0 2.689 * [taylor]: Taking taylor expansion of N in N 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.689 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.689 * [taylor]: Taking taylor expansion of 0.5 in N 2.689 * [backup-simplify]: Simplify 0.5 into 0.5 2.689 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.689 * [taylor]: Taking taylor expansion of N in N 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.689 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 2.689 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.689 * [taylor]: Taking taylor expansion of 1.0 in N 2.689 * [backup-simplify]: Simplify 1.0 into 1.0 2.689 * [taylor]: Taking taylor expansion of N in N 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.689 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.689 * [taylor]: Taking taylor expansion of 0.5 in N 2.689 * [backup-simplify]: Simplify 0.5 into 0.5 2.689 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.689 * [taylor]: Taking taylor expansion of N in N 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.690 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.690 * [backup-simplify]: Simplify (+ 0 0) into 0 2.690 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.692 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.692 * [backup-simplify]: Simplify 1.0 into 1.0 2.692 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.693 * [backup-simplify]: Simplify (* 1 1) into 1 2.693 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.693 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.697 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.698 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.699 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.700 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.700 * [backup-simplify]: Simplify (- 0) into 0 2.701 * [backup-simplify]: Simplify (+ 0 0) into 0 2.701 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.703 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.704 * [backup-simplify]: Simplify (- 0) into 0 2.704 * [backup-simplify]: Simplify (+ 0 0) into 0 2.704 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (- 0) into 0 2.708 * [backup-simplify]: Simplify (+ 0 0) into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.712 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.712 * [backup-simplify]: Simplify (- 0) into 0 2.712 * [backup-simplify]: Simplify (+ 0 0) into 0 2.712 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.717 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.717 * [backup-simplify]: Simplify (- 0) into 0 2.717 * [backup-simplify]: Simplify (+ 0 0) into 0 2.717 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 2.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.723 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.723 * [backup-simplify]: Simplify (- 0) into 0 2.724 * [backup-simplify]: Simplify (+ 0 0) into 0 2.724 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 2.725 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) 2.725 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in (N) around 0 2.725 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 2.725 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 2.725 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.725 * [taylor]: Taking taylor expansion of 0.5 in N 2.725 * [backup-simplify]: Simplify 0.5 into 0.5 2.725 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.725 * [taylor]: Taking taylor expansion of N in N 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.726 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.726 * [taylor]: Taking taylor expansion of 1.0 in N 2.726 * [backup-simplify]: Simplify 1.0 into 1.0 2.726 * [taylor]: Taking taylor expansion of N in N 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.726 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 2.726 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 2.726 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.726 * [taylor]: Taking taylor expansion of 0.5 in N 2.726 * [backup-simplify]: Simplify 0.5 into 0.5 2.726 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.726 * [taylor]: Taking taylor expansion of N in N 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.726 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.726 * [taylor]: Taking taylor expansion of 1.0 in N 2.726 * [backup-simplify]: Simplify 1.0 into 1.0 2.726 * [taylor]: Taking taylor expansion of N in N 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.727 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.727 * [backup-simplify]: Simplify (+ 0 0) into 0 2.728 * [backup-simplify]: Simplify (- 0) into 0 2.728 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.729 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.730 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.730 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.731 * [backup-simplify]: Simplify (* 1 1) into 1 2.731 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.732 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.732 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 2.733 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.733 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.734 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.735 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.736 * [backup-simplify]: Simplify (+ 0 0) into 0 2.736 * [backup-simplify]: Simplify (- 0) into 0 2.736 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.738 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.739 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.739 * [backup-simplify]: Simplify (+ 0 0) into 0 2.740 * [backup-simplify]: Simplify (- 0) into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.743 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.744 * [backup-simplify]: Simplify (+ 0 0) into 0 2.744 * [backup-simplify]: Simplify (- 0) into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.746 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.748 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.749 * [backup-simplify]: Simplify (- 0) into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.752 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.753 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.754 * [backup-simplify]: Simplify (+ 0 0) into 0 2.754 * [backup-simplify]: Simplify (- 0) into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.758 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.760 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 2.760 * [backup-simplify]: Simplify (+ 0 0) into 0 2.761 * [backup-simplify]: Simplify (- 0) into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 2.762 * * * [progress]: simplifying candidates 2.766 * [simplify]: Simplifying: (* (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))) (exp (/ 0.3333333333333333 (pow N 3)))) (* (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (/ 0.3333333333333333 (pow N 3)))) (log (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (* (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (+ (* (- (* 1.0 (* N N)) (* N 0.5)) (pow N 3)) (* (* N (* N N)) 0.3333333333333333)) (* (* N (* N N)) (pow N 3)) (+ (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (pow N 3)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) 0.3333333333333333)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (+ (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (pow N 3)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) 0.3333333333333333)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3)) (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)))) (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* 1.0 (* N N)) (* N 0.5)) (* N (* N N)) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (- (/ 0.5 (* N N))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 2.773 * * [simplify]: Extracting # 0 : cost 0 2.774 * * [simplify]: Extracting # 1 : cost 0 2.774 * * [simplify]: Extracting # 2 : cost 0 2.775 * * [simplify]: Extracting # 3 : cost 0 2.776 * * [simplify]: Extracting # 4 : cost 0 2.776 * * [simplify]: Extracting # 5 : cost 0 2.777 * * [simplify]: Extracting # 6 : cost 0 2.777 * * [simplify]: iteration 0 : 210 enodes (cost 1847 ) 2.850 * * [simplify]: Extracting # 0 : cost 0 2.851 * * [simplify]: Extracting # 1 : cost 0 2.852 * * [simplify]: Extracting # 2 : cost 0 2.853 * * [simplify]: Extracting # 3 : cost 0 2.853 * * [simplify]: Extracting # 4 : cost 0 2.854 * * [simplify]: Extracting # 5 : cost 0 2.855 * * [simplify]: iteration 1 : 534 enodes (cost 1627 ) 3.809 * * [simplify]: Extracting # 0 : cost 0 3.820 * * [simplify]: Extracting # 1 : cost 0 3.826 * * [simplify]: Extracting # 2 : cost 0 3.832 * * [simplify]: Extracting # 3 : cost 0 3.837 * * [simplify]: Extracting # 4 : cost 0 3.842 * * [simplify]: iteration 2 : 3960 enodes (cost 1528 ) 6.127 * * [simplify]: Extracting # 0 : cost 0 6.134 * * [simplify]: Extracting # 1 : cost 0 6.146 * * [simplify]: Extracting # 2 : cost 0 6.154 * * [simplify]: Extracting # 3 : cost 0 6.167 * * [simplify]: iteration done: 5000 enodes (cost 1528 ) 6.169 * [simplify]: Simplified to: (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (log (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (pow (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) 3) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (pow N 3) (+ 0.3333333333333333 (* N (- (* 1.0 N) 0.5)))) (pow N 6) (+ (* (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))) 0.3333333333333333) (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (pow N 3))) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))) (pow N 3)) (+ (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (pow N 3)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) 0.3333333333333333)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3)) (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)))) (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (pow 0.5 3) (pow N 6)) (pow (/ 0.5 (* N N)) 3) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (pow (/ 0.5 (* N N)) 3) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (pow N 2)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 3/2)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* N (- (* 1.0 N) 0.5)) (pow N 3) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (/ 1.0 N)))) (- (/ 0.5 (* N N))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) 6.170 * * * [progress]: adding candidates to table 6.572 * * [progress]: iteration 3 / 4 6.573 * * * [progress]: picking best candidate 6.594 * * * * [pick]: Picked # 6.594 * * * [progress]: localizing error 6.646 * * * [progress]: generating rewritten candidates 6.646 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.770 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 6.882 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.022 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.281 * * * [progress]: generating series expansions 7.281 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.282 * [backup-simplify]: Simplify (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) into (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) 7.282 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in (N) around 0 7.282 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 7.282 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))))) in N 7.282 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))))) in N 7.282 * [taylor]: Taking taylor expansion of 1/3 in N 7.282 * [backup-simplify]: Simplify 1/3 into 1/3 7.282 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 7.282 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 7.282 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 7.282 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.282 * [taylor]: Taking taylor expansion of 1.0 in N 7.282 * [backup-simplify]: Simplify 1.0 into 1.0 7.282 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.282 * [taylor]: Taking taylor expansion of N in N 7.283 * [backup-simplify]: Simplify 0 into 0 7.283 * [backup-simplify]: Simplify 1 into 1 7.283 * [backup-simplify]: Simplify (/ 1 1) into 1 7.283 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.283 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.283 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.283 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.283 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.283 * [taylor]: Taking taylor expansion of N in N 7.283 * [backup-simplify]: Simplify 0 into 0 7.283 * [backup-simplify]: Simplify 1 into 1 7.284 * [backup-simplify]: Simplify (* 1 1) into 1 7.284 * [backup-simplify]: Simplify (* 1 1) into 1 7.285 * [backup-simplify]: Simplify (/ 1 1) into 1 7.285 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.285 * [taylor]: Taking taylor expansion of 0.5 in N 7.285 * [backup-simplify]: Simplify 0.5 into 0.5 7.285 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.285 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.285 * [taylor]: Taking taylor expansion of N in N 7.285 * [backup-simplify]: Simplify 0 into 0 7.285 * [backup-simplify]: Simplify 1 into 1 7.285 * [backup-simplify]: Simplify (* 1 1) into 1 7.286 * [backup-simplify]: Simplify (/ 1 1) into 1 7.286 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.287 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.287 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.288 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 7.288 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 7.289 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 7.290 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 7.290 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 7.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))))) in N 7.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))))) in N 7.290 * [taylor]: Taking taylor expansion of 1/3 in N 7.290 * [backup-simplify]: Simplify 1/3 into 1/3 7.290 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 7.290 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 7.290 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 7.290 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.290 * [taylor]: Taking taylor expansion of 1.0 in N 7.290 * [backup-simplify]: Simplify 1.0 into 1.0 7.290 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.290 * [taylor]: Taking taylor expansion of N in N 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify 1 into 1 7.290 * [backup-simplify]: Simplify (/ 1 1) into 1 7.291 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.291 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.291 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.291 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.291 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.291 * [taylor]: Taking taylor expansion of N in N 7.291 * [backup-simplify]: Simplify 0 into 0 7.291 * [backup-simplify]: Simplify 1 into 1 7.291 * [backup-simplify]: Simplify (* 1 1) into 1 7.291 * [backup-simplify]: Simplify (* 1 1) into 1 7.292 * [backup-simplify]: Simplify (/ 1 1) into 1 7.292 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.292 * [taylor]: Taking taylor expansion of 0.5 in N 7.292 * [backup-simplify]: Simplify 0.5 into 0.5 7.292 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.292 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.292 * [taylor]: Taking taylor expansion of N in N 7.292 * [backup-simplify]: Simplify 0 into 0 7.292 * [backup-simplify]: Simplify 1 into 1 7.292 * [backup-simplify]: Simplify (* 1 1) into 1 7.293 * [backup-simplify]: Simplify (/ 1 1) into 1 7.293 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.294 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.294 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.294 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 7.295 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 7.296 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 7.296 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 7.297 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 7.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.300 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.301 * [backup-simplify]: Simplify (+ 0 0) into 0 7.301 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.302 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.303 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 0.3333333333333333 1)))) 1) into -1.5 7.312 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 7.313 * [backup-simplify]: Simplify (+ (* 1/3 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N))))) into (- 0.5) 7.317 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 1) 1)))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 7.317 * [backup-simplify]: Simplify (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 7.318 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.322 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.322 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.324 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.325 * [backup-simplify]: Simplify (- 0) into 0 7.325 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.340 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 0.3333333333333333 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 0.3333333333333333 1)))) 2) into (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2))))) 7.341 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 7.345 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2)))))) (+ (* 0 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N)))))) into (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 7.352 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 2) 2)) (* (/ (pow (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 7.354 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 7.357 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) (pow N 2)) (+ (* (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))))) into (- (+ (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (* 1.125 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)))) (+ (* 0.5 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) N)) (* 0.041666666666666664 (/ (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)) (pow 0.3333333333333333 2))))) 7.358 * [backup-simplify]: Simplify (cbrt (+ (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) (/ 0.3333333333333333 (pow (/ 1 N) 3)))) into (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) 7.358 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in (N) around 0 7.358 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 7.358 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 7.358 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 7.358 * [taylor]: Taking taylor expansion of 1/3 in N 7.358 * [backup-simplify]: Simplify 1/3 into 1/3 7.358 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 7.358 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 7.358 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.358 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.358 * [taylor]: Taking taylor expansion of 1.0 in N 7.358 * [backup-simplify]: Simplify 1.0 into 1.0 7.358 * [taylor]: Taking taylor expansion of N in N 7.358 * [backup-simplify]: Simplify 0 into 0 7.358 * [backup-simplify]: Simplify 1 into 1 7.358 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.358 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.358 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.358 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.358 * [taylor]: Taking taylor expansion of N in N 7.358 * [backup-simplify]: Simplify 0 into 0 7.358 * [backup-simplify]: Simplify 1 into 1 7.358 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.358 * [taylor]: Taking taylor expansion of 0.5 in N 7.358 * [backup-simplify]: Simplify 0.5 into 0.5 7.358 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.358 * [taylor]: Taking taylor expansion of N in N 7.358 * [backup-simplify]: Simplify 0 into 0 7.358 * [backup-simplify]: Simplify 1 into 1 7.358 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.359 * [backup-simplify]: Simplify (+ 0 0) into 0 7.359 * [backup-simplify]: Simplify (+ 0 0) into 0 7.360 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.363 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.364 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.364 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.365 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.366 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.366 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.366 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 7.366 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 7.366 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 7.366 * [taylor]: Taking taylor expansion of 1/3 in N 7.366 * [backup-simplify]: Simplify 1/3 into 1/3 7.366 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 7.366 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 7.366 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.366 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.366 * [taylor]: Taking taylor expansion of 1.0 in N 7.366 * [backup-simplify]: Simplify 1.0 into 1.0 7.367 * [taylor]: Taking taylor expansion of N in N 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify 1 into 1 7.367 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.367 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.367 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.367 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.367 * [taylor]: Taking taylor expansion of N in N 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify 1 into 1 7.367 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.367 * [taylor]: Taking taylor expansion of 0.5 in N 7.367 * [backup-simplify]: Simplify 0.5 into 0.5 7.367 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.367 * [taylor]: Taking taylor expansion of N in N 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify 1 into 1 7.367 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.368 * [backup-simplify]: Simplify (+ 0 0) into 0 7.368 * [backup-simplify]: Simplify (+ 0 0) into 0 7.369 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.370 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.370 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.371 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.371 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.372 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.372 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.373 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.374 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.374 * [backup-simplify]: Simplify (+ 0 0) into 0 7.375 * [backup-simplify]: Simplify (* 1 1) into 1 7.375 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.376 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.376 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.382 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 1.0 1)))) 1) into -0.5 7.383 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.384 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (* 0 (+ (log 1.0) (log N)))) into (- 0.16666666666666666) 7.386 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.386 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.387 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.387 * [backup-simplify]: Simplify (* 1 1) into 1 7.387 * [backup-simplify]: Simplify (* 1 1) into 1 7.388 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.388 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.389 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.389 * [backup-simplify]: Simplify (- 0) into 0 7.389 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.399 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 7.400 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.407 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 -0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 7.420 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 7.424 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 7.427 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) (pow (/ 1 N) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (/ 1 N)) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) 7.427 * [backup-simplify]: Simplify (cbrt (+ (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)))) into (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3)) 7.427 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3)) in (N) around 0 7.427 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3)) in N 7.427 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.428 * [taylor]: Taking taylor expansion of -1 in N 7.428 * [backup-simplify]: Simplify -1 into -1 7.428 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.428 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.428 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) in N 7.428 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))))) in N 7.428 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))) in N 7.428 * [taylor]: Taking taylor expansion of 1/3 in N 7.429 * [backup-simplify]: Simplify 1/3 into 1/3 7.429 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 7.429 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 7.429 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.429 * [taylor]: Taking taylor expansion of 0.5 in N 7.429 * [backup-simplify]: Simplify 0.5 into 0.5 7.429 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.429 * [taylor]: Taking taylor expansion of N in N 7.429 * [backup-simplify]: Simplify 0 into 0 7.429 * [backup-simplify]: Simplify 1 into 1 7.429 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.429 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.429 * [taylor]: Taking taylor expansion of 1.0 in N 7.429 * [backup-simplify]: Simplify 1.0 into 1.0 7.429 * [taylor]: Taking taylor expansion of N in N 7.429 * [backup-simplify]: Simplify 0 into 0 7.429 * [backup-simplify]: Simplify 1 into 1 7.429 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.429 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.429 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.429 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.429 * [taylor]: Taking taylor expansion of N in N 7.429 * [backup-simplify]: Simplify 0 into 0 7.429 * [backup-simplify]: Simplify 1 into 1 7.429 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.429 * [backup-simplify]: Simplify (+ 0 0) into 0 7.430 * [backup-simplify]: Simplify (+ 0 0) into 0 7.430 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.431 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.431 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.431 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.432 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.432 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.432 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.432 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3)) in N 7.432 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.433 * [taylor]: Taking taylor expansion of -1 in N 7.433 * [backup-simplify]: Simplify -1 into -1 7.433 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.433 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.433 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) in N 7.433 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))))) in N 7.433 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))) in N 7.433 * [taylor]: Taking taylor expansion of 1/3 in N 7.433 * [backup-simplify]: Simplify 1/3 into 1/3 7.433 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 7.433 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 7.433 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.433 * [taylor]: Taking taylor expansion of 0.5 in N 7.433 * [backup-simplify]: Simplify 0.5 into 0.5 7.433 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.433 * [taylor]: Taking taylor expansion of N in N 7.433 * [backup-simplify]: Simplify 0 into 0 7.434 * [backup-simplify]: Simplify 1 into 1 7.434 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.434 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.434 * [taylor]: Taking taylor expansion of 1.0 in N 7.434 * [backup-simplify]: Simplify 1.0 into 1.0 7.434 * [taylor]: Taking taylor expansion of N in N 7.434 * [backup-simplify]: Simplify 0 into 0 7.434 * [backup-simplify]: Simplify 1 into 1 7.434 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.434 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.434 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.434 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.434 * [taylor]: Taking taylor expansion of N in N 7.434 * [backup-simplify]: Simplify 0 into 0 7.434 * [backup-simplify]: Simplify 1 into 1 7.434 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.434 * [backup-simplify]: Simplify (+ 0 0) into 0 7.434 * [backup-simplify]: Simplify (+ 0 0) into 0 7.435 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.436 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.436 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.436 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.437 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.437 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.437 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.438 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) 7.439 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) 7.439 * [backup-simplify]: Simplify (* 1 1) into 1 7.439 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.440 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.440 * [backup-simplify]: Simplify (+ 0 0) into 0 7.440 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 7.444 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1.0 1)))) 1) into 0.5 7.445 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.446 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (* 0 (+ (log 1.0) (log N)))) into 0.16666666666666666 7.447 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.448 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N)))))) into (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) 7.449 * [backup-simplify]: Simplify (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) 7.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.450 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.451 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.451 * [backup-simplify]: Simplify (* 1 1) into 1 7.451 * [backup-simplify]: Simplify (* 1 1) into 1 7.452 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.452 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.452 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.462 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 7.463 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.476 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 7.489 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 7.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.495 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))))) (+ (* 0 (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N))))))) into (- (* 0.125 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) 7.498 * [backup-simplify]: Simplify (- (* 0.125 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) into (- (* 0.125 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) 7.504 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N))))))) (pow 1.0 2)))) (pow (/ 1 (- N)) 2)) (+ (* (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* 0.125 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) N)))) 7.504 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 7.505 * [backup-simplify]: Simplify (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) into (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) 7.505 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in (N) around 0 7.505 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 7.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))))) in N 7.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))))) in N 7.505 * [taylor]: Taking taylor expansion of 1/3 in N 7.505 * [backup-simplify]: Simplify 1/3 into 1/3 7.505 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 7.505 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 7.505 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 7.505 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.505 * [taylor]: Taking taylor expansion of 1.0 in N 7.505 * [backup-simplify]: Simplify 1.0 into 1.0 7.505 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.505 * [taylor]: Taking taylor expansion of N in N 7.505 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify 1 into 1 7.506 * [backup-simplify]: Simplify (/ 1 1) into 1 7.506 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.506 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.506 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.506 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.506 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.506 * [taylor]: Taking taylor expansion of N in N 7.506 * [backup-simplify]: Simplify 0 into 0 7.506 * [backup-simplify]: Simplify 1 into 1 7.506 * [backup-simplify]: Simplify (* 1 1) into 1 7.507 * [backup-simplify]: Simplify (* 1 1) into 1 7.507 * [backup-simplify]: Simplify (/ 1 1) into 1 7.507 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.507 * [taylor]: Taking taylor expansion of 0.5 in N 7.507 * [backup-simplify]: Simplify 0.5 into 0.5 7.507 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.507 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.507 * [taylor]: Taking taylor expansion of N in N 7.507 * [backup-simplify]: Simplify 0 into 0 7.507 * [backup-simplify]: Simplify 1 into 1 7.508 * [backup-simplify]: Simplify (* 1 1) into 1 7.508 * [backup-simplify]: Simplify (/ 1 1) into 1 7.508 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.509 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.509 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.510 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 7.510 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 7.511 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 7.512 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 7.512 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 7.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))))) in N 7.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))))) in N 7.512 * [taylor]: Taking taylor expansion of 1/3 in N 7.512 * [backup-simplify]: Simplify 1/3 into 1/3 7.512 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 7.512 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 7.512 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 7.512 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.512 * [taylor]: Taking taylor expansion of 1.0 in N 7.512 * [backup-simplify]: Simplify 1.0 into 1.0 7.512 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.512 * [taylor]: Taking taylor expansion of N in N 7.512 * [backup-simplify]: Simplify 0 into 0 7.512 * [backup-simplify]: Simplify 1 into 1 7.512 * [backup-simplify]: Simplify (/ 1 1) into 1 7.512 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.512 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.513 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.513 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.513 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.513 * [taylor]: Taking taylor expansion of N in N 7.513 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify 1 into 1 7.513 * [backup-simplify]: Simplify (* 1 1) into 1 7.514 * [backup-simplify]: Simplify (* 1 1) into 1 7.514 * [backup-simplify]: Simplify (/ 1 1) into 1 7.514 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.514 * [taylor]: Taking taylor expansion of 0.5 in N 7.514 * [backup-simplify]: Simplify 0.5 into 0.5 7.514 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.514 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.514 * [taylor]: Taking taylor expansion of N in N 7.514 * [backup-simplify]: Simplify 0 into 0 7.514 * [backup-simplify]: Simplify 1 into 1 7.515 * [backup-simplify]: Simplify (* 1 1) into 1 7.515 * [backup-simplify]: Simplify (/ 1 1) into 1 7.515 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.516 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.516 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.517 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 7.517 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 7.518 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 7.519 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 7.519 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 7.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.522 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.522 * [backup-simplify]: Simplify (+ 0 0) into 0 7.523 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.523 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.524 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 0.3333333333333333 1)))) 1) into -1.5 7.533 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 7.534 * [backup-simplify]: Simplify (+ (* 1/3 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N))))) into (- 0.5) 7.538 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 1) 1)))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 7.539 * [backup-simplify]: Simplify (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 7.539 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.543 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.543 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.546 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.546 * [backup-simplify]: Simplify (- 0) into 0 7.546 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.564 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 0.3333333333333333 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 0.3333333333333333 1)))) 2) into (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2))))) 7.565 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 7.572 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2)))))) (+ (* 0 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N)))))) into (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 7.585 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 2) 2)) (* (/ (pow (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 7.589 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 7.594 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) (pow N 2)) (+ (* (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))))) into (- (+ (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (* 1.125 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)))) (+ (* 0.5 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) N)) (* 0.041666666666666664 (/ (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)) (pow 0.3333333333333333 2))))) 7.595 * [backup-simplify]: Simplify (cbrt (+ (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) (/ 0.3333333333333333 (pow (/ 1 N) 3)))) into (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) 7.595 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in (N) around 0 7.595 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 7.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 7.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 7.595 * [taylor]: Taking taylor expansion of 1/3 in N 7.595 * [backup-simplify]: Simplify 1/3 into 1/3 7.595 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 7.595 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 7.595 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.595 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.595 * [taylor]: Taking taylor expansion of 1.0 in N 7.595 * [backup-simplify]: Simplify 1.0 into 1.0 7.595 * [taylor]: Taking taylor expansion of N in N 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 1 into 1 7.595 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.595 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.595 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.595 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.595 * [taylor]: Taking taylor expansion of N in N 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 1 into 1 7.596 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.596 * [taylor]: Taking taylor expansion of 0.5 in N 7.596 * [backup-simplify]: Simplify 0.5 into 0.5 7.596 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.596 * [taylor]: Taking taylor expansion of N in N 7.596 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify 1 into 1 7.596 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.597 * [backup-simplify]: Simplify (+ 0 0) into 0 7.597 * [backup-simplify]: Simplify (+ 0 0) into 0 7.598 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.599 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.599 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.600 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.600 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.601 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.601 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.601 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 7.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 7.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 7.602 * [taylor]: Taking taylor expansion of 1/3 in N 7.602 * [backup-simplify]: Simplify 1/3 into 1/3 7.602 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 7.602 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 7.602 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.602 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.602 * [taylor]: Taking taylor expansion of 1.0 in N 7.602 * [backup-simplify]: Simplify 1.0 into 1.0 7.602 * [taylor]: Taking taylor expansion of N in N 7.602 * [backup-simplify]: Simplify 0 into 0 7.602 * [backup-simplify]: Simplify 1 into 1 7.602 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.602 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.602 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.602 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.602 * [taylor]: Taking taylor expansion of N in N 7.602 * [backup-simplify]: Simplify 0 into 0 7.602 * [backup-simplify]: Simplify 1 into 1 7.602 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.602 * [taylor]: Taking taylor expansion of 0.5 in N 7.602 * [backup-simplify]: Simplify 0.5 into 0.5 7.602 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.602 * [taylor]: Taking taylor expansion of N in N 7.602 * [backup-simplify]: Simplify 0 into 0 7.602 * [backup-simplify]: Simplify 1 into 1 7.603 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.603 * [backup-simplify]: Simplify (+ 0 0) into 0 7.603 * [backup-simplify]: Simplify (+ 0 0) into 0 7.605 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.605 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.606 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.606 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.607 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.607 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.608 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.609 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.610 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.610 * [backup-simplify]: Simplify (+ 0 0) into 0 7.610 * [backup-simplify]: Simplify (* 1 1) into 1 7.611 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.611 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.612 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.621 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 1.0 1)))) 1) into -0.5 7.626 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.627 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (* 0 (+ (log 1.0) (log N)))) into (- 0.16666666666666666) 7.631 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.631 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.633 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.633 * [backup-simplify]: Simplify (* 1 1) into 1 7.633 * [backup-simplify]: Simplify (* 1 1) into 1 7.634 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.634 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.636 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.636 * [backup-simplify]: Simplify (- 0) into 0 7.637 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.654 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 7.655 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.662 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 -0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 7.675 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 7.678 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 7.683 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) (pow (/ 1 N) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (/ 1 N)) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) 7.684 * [backup-simplify]: Simplify (cbrt (+ (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)))) into (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3)) 7.684 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3)) in (N) around 0 7.684 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3)) in N 7.684 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.684 * [taylor]: Taking taylor expansion of -1 in N 7.685 * [backup-simplify]: Simplify -1 into -1 7.685 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.686 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.686 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) in N 7.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))))) in N 7.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))) in N 7.686 * [taylor]: Taking taylor expansion of 1/3 in N 7.686 * [backup-simplify]: Simplify 1/3 into 1/3 7.686 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 7.686 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 7.686 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.686 * [taylor]: Taking taylor expansion of 0.5 in N 7.686 * [backup-simplify]: Simplify 0.5 into 0.5 7.686 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.686 * [taylor]: Taking taylor expansion of N in N 7.686 * [backup-simplify]: Simplify 0 into 0 7.686 * [backup-simplify]: Simplify 1 into 1 7.686 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.686 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.686 * [taylor]: Taking taylor expansion of 1.0 in N 7.686 * [backup-simplify]: Simplify 1.0 into 1.0 7.686 * [taylor]: Taking taylor expansion of N in N 7.686 * [backup-simplify]: Simplify 0 into 0 7.686 * [backup-simplify]: Simplify 1 into 1 7.686 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.686 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.686 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.686 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.687 * [taylor]: Taking taylor expansion of N in N 7.687 * [backup-simplify]: Simplify 0 into 0 7.687 * [backup-simplify]: Simplify 1 into 1 7.687 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.687 * [backup-simplify]: Simplify (+ 0 0) into 0 7.688 * [backup-simplify]: Simplify (+ 0 0) into 0 7.689 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.690 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.690 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.690 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.691 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.692 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.692 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.692 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3)) in N 7.692 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.692 * [taylor]: Taking taylor expansion of -1 in N 7.692 * [backup-simplify]: Simplify -1 into -1 7.693 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.694 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.694 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) in N 7.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))))) in N 7.694 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))) in N 7.694 * [taylor]: Taking taylor expansion of 1/3 in N 7.694 * [backup-simplify]: Simplify 1/3 into 1/3 7.694 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 7.694 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 7.694 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.694 * [taylor]: Taking taylor expansion of 0.5 in N 7.694 * [backup-simplify]: Simplify 0.5 into 0.5 7.694 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.694 * [taylor]: Taking taylor expansion of N in N 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify 1 into 1 7.694 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.694 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.694 * [taylor]: Taking taylor expansion of 1.0 in N 7.694 * [backup-simplify]: Simplify 1.0 into 1.0 7.694 * [taylor]: Taking taylor expansion of N in N 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify 1 into 1 7.694 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.694 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.694 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.694 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.694 * [taylor]: Taking taylor expansion of N in N 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify 1 into 1 7.695 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.695 * [backup-simplify]: Simplify (+ 0 0) into 0 7.696 * [backup-simplify]: Simplify (+ 0 0) into 0 7.697 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.698 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.698 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.699 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.699 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.700 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.700 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.702 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) 7.702 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) 7.703 * [backup-simplify]: Simplify (* 1 1) into 1 7.703 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.704 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.705 * [backup-simplify]: Simplify (+ 0 0) into 0 7.705 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 7.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1.0 1)))) 1) into 0.5 7.714 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.715 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (* 0 (+ (log 1.0) (log N)))) into 0.16666666666666666 7.718 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.719 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N)))))) into (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) 7.720 * [backup-simplify]: Simplify (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) 7.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.722 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.723 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.723 * [backup-simplify]: Simplify (* 1 1) into 1 7.724 * [backup-simplify]: Simplify (* 1 1) into 1 7.724 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.725 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.725 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.741 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 7.742 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.749 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 7.755 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 7.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.760 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))))) (+ (* 0 (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N))))))) into (- (* 0.125 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) 7.765 * [backup-simplify]: Simplify (- (* 0.125 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) into (- (* 0.125 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) 7.769 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N))))))) (pow 1.0 2)))) (pow (/ 1 (- N)) 2)) (+ (* (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* 0.125 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) N)))) 7.769 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 7.769 * [backup-simplify]: Simplify (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) into (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) 7.769 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in (N) around 0 7.769 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 7.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))))) in N 7.769 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))))) in N 7.769 * [taylor]: Taking taylor expansion of 1/3 in N 7.769 * [backup-simplify]: Simplify 1/3 into 1/3 7.769 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 7.769 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 7.769 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 7.769 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.769 * [taylor]: Taking taylor expansion of 1.0 in N 7.769 * [backup-simplify]: Simplify 1.0 into 1.0 7.769 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.769 * [taylor]: Taking taylor expansion of N in N 7.769 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify 1 into 1 7.770 * [backup-simplify]: Simplify (/ 1 1) into 1 7.770 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.770 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.770 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.770 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.770 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.770 * [taylor]: Taking taylor expansion of N in N 7.770 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify 1 into 1 7.770 * [backup-simplify]: Simplify (* 1 1) into 1 7.770 * [backup-simplify]: Simplify (* 1 1) into 1 7.771 * [backup-simplify]: Simplify (/ 1 1) into 1 7.771 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.771 * [taylor]: Taking taylor expansion of 0.5 in N 7.771 * [backup-simplify]: Simplify 0.5 into 0.5 7.771 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.771 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.771 * [taylor]: Taking taylor expansion of N in N 7.771 * [backup-simplify]: Simplify 0 into 0 7.771 * [backup-simplify]: Simplify 1 into 1 7.771 * [backup-simplify]: Simplify (* 1 1) into 1 7.771 * [backup-simplify]: Simplify (/ 1 1) into 1 7.771 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.772 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.772 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.772 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 7.773 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 7.773 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 7.773 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 7.773 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 7.774 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))))) in N 7.774 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))))) in N 7.774 * [taylor]: Taking taylor expansion of 1/3 in N 7.774 * [backup-simplify]: Simplify 1/3 into 1/3 7.774 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 7.774 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 7.774 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 7.774 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.774 * [taylor]: Taking taylor expansion of 1.0 in N 7.774 * [backup-simplify]: Simplify 1.0 into 1.0 7.774 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.774 * [taylor]: Taking taylor expansion of N in N 7.774 * [backup-simplify]: Simplify 0 into 0 7.774 * [backup-simplify]: Simplify 1 into 1 7.774 * [backup-simplify]: Simplify (/ 1 1) into 1 7.774 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.774 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.774 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.774 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.774 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.774 * [taylor]: Taking taylor expansion of N in N 7.774 * [backup-simplify]: Simplify 0 into 0 7.774 * [backup-simplify]: Simplify 1 into 1 7.774 * [backup-simplify]: Simplify (* 1 1) into 1 7.775 * [backup-simplify]: Simplify (* 1 1) into 1 7.775 * [backup-simplify]: Simplify (/ 1 1) into 1 7.775 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.775 * [taylor]: Taking taylor expansion of 0.5 in N 7.775 * [backup-simplify]: Simplify 0.5 into 0.5 7.775 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.775 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.775 * [taylor]: Taking taylor expansion of N in N 7.775 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify 1 into 1 7.775 * [backup-simplify]: Simplify (* 1 1) into 1 7.775 * [backup-simplify]: Simplify (/ 1 1) into 1 7.776 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.776 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.776 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.777 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 7.777 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 7.777 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 7.778 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 7.778 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 7.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.780 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.780 * [backup-simplify]: Simplify (+ 0 0) into 0 7.780 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.781 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.781 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 0.3333333333333333 1)))) 1) into -1.5 7.786 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 7.787 * [backup-simplify]: Simplify (+ (* 1/3 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N))))) into (- 0.5) 7.789 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 1) 1)))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 7.789 * [backup-simplify]: Simplify (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 7.790 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.792 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.792 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.793 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.794 * [backup-simplify]: Simplify (- 0) into 0 7.794 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.804 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 0.3333333333333333 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 0.3333333333333333 1)))) 2) into (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2))))) 7.804 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 7.808 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2)))))) (+ (* 0 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N)))))) into (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 7.815 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 2) 2)) (* (/ (pow (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 7.819 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 7.824 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) (pow N 2)) (+ (* (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))))) into (- (+ (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (* 1.125 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)))) (+ (* 0.5 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) N)) (* 0.041666666666666664 (/ (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)) (pow 0.3333333333333333 2))))) 7.824 * [backup-simplify]: Simplify (cbrt (+ (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) (/ 0.3333333333333333 (pow (/ 1 N) 3)))) into (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) 7.824 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in (N) around 0 7.824 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 7.824 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 7.824 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 7.824 * [taylor]: Taking taylor expansion of 1/3 in N 7.824 * [backup-simplify]: Simplify 1/3 into 1/3 7.824 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 7.824 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 7.824 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.824 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.824 * [taylor]: Taking taylor expansion of 1.0 in N 7.824 * [backup-simplify]: Simplify 1.0 into 1.0 7.824 * [taylor]: Taking taylor expansion of N in N 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.825 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.825 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.825 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.825 * [taylor]: Taking taylor expansion of N in N 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.825 * [taylor]: Taking taylor expansion of 0.5 in N 7.825 * [backup-simplify]: Simplify 0.5 into 0.5 7.825 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.825 * [taylor]: Taking taylor expansion of N in N 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.825 * [backup-simplify]: Simplify (+ 0 0) into 0 7.826 * [backup-simplify]: Simplify (+ 0 0) into 0 7.826 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.827 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.827 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.827 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.828 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.828 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.828 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.828 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 7.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 7.828 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 7.828 * [taylor]: Taking taylor expansion of 1/3 in N 7.828 * [backup-simplify]: Simplify 1/3 into 1/3 7.828 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 7.828 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 7.829 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.829 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.829 * [taylor]: Taking taylor expansion of 1.0 in N 7.829 * [backup-simplify]: Simplify 1.0 into 1.0 7.829 * [taylor]: Taking taylor expansion of N in N 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 1 into 1 7.829 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.829 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.829 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.829 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.829 * [taylor]: Taking taylor expansion of N in N 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 1 into 1 7.829 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.829 * [taylor]: Taking taylor expansion of 0.5 in N 7.829 * [backup-simplify]: Simplify 0.5 into 0.5 7.829 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.829 * [taylor]: Taking taylor expansion of N in N 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 1 into 1 7.829 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.829 * [backup-simplify]: Simplify (+ 0 0) into 0 7.830 * [backup-simplify]: Simplify (+ 0 0) into 0 7.830 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.831 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.831 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.831 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.832 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.832 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.832 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.833 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.833 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.834 * [backup-simplify]: Simplify (+ 0 0) into 0 7.834 * [backup-simplify]: Simplify (* 1 1) into 1 7.834 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.834 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.835 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.840 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 1.0 1)))) 1) into -0.5 7.840 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.841 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (* 0 (+ (log 1.0) (log N)))) into (- 0.16666666666666666) 7.843 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.843 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.844 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.844 * [backup-simplify]: Simplify (* 1 1) into 1 7.844 * [backup-simplify]: Simplify (* 1 1) into 1 7.845 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.845 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.846 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.846 * [backup-simplify]: Simplify (- 0) into 0 7.846 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.863 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 7.864 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.871 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 -0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 7.884 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 7.888 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 7.893 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) (pow (/ 1 N) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (/ 1 N)) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))))) into (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) 7.894 * [backup-simplify]: Simplify (cbrt (+ (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)))) into (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3)) 7.894 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3)) in (N) around 0 7.894 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3)) in N 7.894 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.895 * [taylor]: Taking taylor expansion of -1 in N 7.895 * [backup-simplify]: Simplify -1 into -1 7.895 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.896 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.896 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) in N 7.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))))) in N 7.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))) in N 7.896 * [taylor]: Taking taylor expansion of 1/3 in N 7.896 * [backup-simplify]: Simplify 1/3 into 1/3 7.896 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 7.896 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 7.897 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.897 * [taylor]: Taking taylor expansion of 0.5 in N 7.897 * [backup-simplify]: Simplify 0.5 into 0.5 7.897 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.897 * [taylor]: Taking taylor expansion of N in N 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify 1 into 1 7.897 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.897 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.897 * [taylor]: Taking taylor expansion of 1.0 in N 7.897 * [backup-simplify]: Simplify 1.0 into 1.0 7.897 * [taylor]: Taking taylor expansion of N in N 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify 1 into 1 7.897 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.897 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.897 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.897 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.897 * [taylor]: Taking taylor expansion of N in N 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify 1 into 1 7.898 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.898 * [backup-simplify]: Simplify (+ 0 0) into 0 7.898 * [backup-simplify]: Simplify (+ 0 0) into 0 7.900 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.901 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.901 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.902 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.903 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.903 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.904 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.904 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3)) in N 7.904 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.904 * [taylor]: Taking taylor expansion of -1 in N 7.904 * [backup-simplify]: Simplify -1 into -1 7.904 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.905 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.905 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) in N 7.905 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))))) in N 7.905 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))) in N 7.905 * [taylor]: Taking taylor expansion of 1/3 in N 7.905 * [backup-simplify]: Simplify 1/3 into 1/3 7.905 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 7.905 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 7.905 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.905 * [taylor]: Taking taylor expansion of 0.5 in N 7.905 * [backup-simplify]: Simplify 0.5 into 0.5 7.905 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.905 * [taylor]: Taking taylor expansion of N in N 7.905 * [backup-simplify]: Simplify 0 into 0 7.905 * [backup-simplify]: Simplify 1 into 1 7.905 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.905 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.905 * [taylor]: Taking taylor expansion of 1.0 in N 7.905 * [backup-simplify]: Simplify 1.0 into 1.0 7.905 * [taylor]: Taking taylor expansion of N in N 7.905 * [backup-simplify]: Simplify 0 into 0 7.905 * [backup-simplify]: Simplify 1 into 1 7.905 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.905 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.905 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.905 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.905 * [taylor]: Taking taylor expansion of N in N 7.905 * [backup-simplify]: Simplify 0 into 0 7.905 * [backup-simplify]: Simplify 1 into 1 7.905 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.906 * [backup-simplify]: Simplify (+ 0 0) into 0 7.906 * [backup-simplify]: Simplify (+ 0 0) into 0 7.907 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.907 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.907 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.907 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.908 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.908 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 7.909 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 7.909 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) 7.910 * [backup-simplify]: Simplify (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) into (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) 7.910 * [backup-simplify]: Simplify (* 1 1) into 1 7.910 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.911 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.911 * [backup-simplify]: Simplify (+ 0 0) into 0 7.912 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 7.915 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1.0 1)))) 1) into 0.5 7.916 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.917 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (* 0 (+ (log 1.0) (log N)))) into 0.16666666666666666 7.918 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 7.919 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N)))))) into (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) 7.920 * [backup-simplify]: Simplify (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) into (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) 7.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.921 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.921 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.922 * [backup-simplify]: Simplify (* 1 1) into 1 7.922 * [backup-simplify]: Simplify (* 1 1) into 1 7.922 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.922 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.923 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.931 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 7.932 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 7.936 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 7.942 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 7.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.946 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))))) (+ (* 0 (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0 (exp (* 1/3 (+ (log 1.0) (log N))))))) into (- (* 0.125 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) 7.948 * [backup-simplify]: Simplify (- (* 0.125 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) into (- (* 0.125 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N)))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log N))))) (pow 1.0 2)))) 7.954 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))))) (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N))))))) (pow 1.0 2)))) (pow (/ 1 (- N)) 2)) (+ (* (* 0.16666666666666666 (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))))) (/ 1 (- N))) (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N))))))))) into (- (+ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* 0.125 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) N)))) 7.954 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 7.955 * [backup-simplify]: Simplify (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 7.955 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 7.955 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 7.955 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 7.955 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.955 * [taylor]: Taking taylor expansion of 1.0 in N 7.955 * [backup-simplify]: Simplify 1.0 into 1.0 7.955 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.955 * [taylor]: Taking taylor expansion of N in N 7.955 * [backup-simplify]: Simplify 0 into 0 7.955 * [backup-simplify]: Simplify 1 into 1 7.956 * [backup-simplify]: Simplify (/ 1 1) into 1 7.956 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.956 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.956 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.956 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.956 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.956 * [taylor]: Taking taylor expansion of N in N 7.956 * [backup-simplify]: Simplify 0 into 0 7.956 * [backup-simplify]: Simplify 1 into 1 7.957 * [backup-simplify]: Simplify (* 1 1) into 1 7.957 * [backup-simplify]: Simplify (* 1 1) into 1 7.957 * [backup-simplify]: Simplify (/ 1 1) into 1 7.957 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.957 * [taylor]: Taking taylor expansion of 0.5 in N 7.957 * [backup-simplify]: Simplify 0.5 into 0.5 7.957 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.957 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.957 * [taylor]: Taking taylor expansion of N in N 7.957 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify 1 into 1 7.958 * [backup-simplify]: Simplify (* 1 1) into 1 7.958 * [backup-simplify]: Simplify (/ 1 1) into 1 7.958 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 7.958 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 7.958 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.958 * [taylor]: Taking taylor expansion of 1.0 in N 7.958 * [backup-simplify]: Simplify 1.0 into 1.0 7.958 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.958 * [taylor]: Taking taylor expansion of N in N 7.959 * [backup-simplify]: Simplify 0 into 0 7.959 * [backup-simplify]: Simplify 1 into 1 7.959 * [backup-simplify]: Simplify (/ 1 1) into 1 7.959 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.959 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.959 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.959 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.959 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.959 * [taylor]: Taking taylor expansion of N in N 7.959 * [backup-simplify]: Simplify 0 into 0 7.959 * [backup-simplify]: Simplify 1 into 1 7.959 * [backup-simplify]: Simplify (* 1 1) into 1 7.960 * [backup-simplify]: Simplify (* 1 1) into 1 7.960 * [backup-simplify]: Simplify (/ 1 1) into 1 7.960 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.960 * [taylor]: Taking taylor expansion of 0.5 in N 7.960 * [backup-simplify]: Simplify 0.5 into 0.5 7.960 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.960 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.960 * [taylor]: Taking taylor expansion of N in N 7.960 * [backup-simplify]: Simplify 0 into 0 7.960 * [backup-simplify]: Simplify 1 into 1 7.961 * [backup-simplify]: Simplify (* 1 1) into 1 7.961 * [backup-simplify]: Simplify (/ 1 1) into 1 7.962 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.962 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.962 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.963 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.965 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.966 * [backup-simplify]: Simplify (+ 0 0) into 0 7.966 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.967 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.967 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.968 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.968 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.977 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.978 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.980 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.980 * [backup-simplify]: Simplify (- 0) into 0 7.981 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.981 * [backup-simplify]: Simplify 1.0 into 1.0 7.982 * [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)))) 7.983 * [backup-simplify]: Simplify (+ (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) (/ 0.3333333333333333 (pow (/ 1 N) 3))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 7.983 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 7.983 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 7.983 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.983 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.983 * [taylor]: Taking taylor expansion of 1.0 in N 7.983 * [backup-simplify]: Simplify 1.0 into 1.0 7.983 * [taylor]: Taking taylor expansion of N in N 7.983 * [backup-simplify]: Simplify 0 into 0 7.983 * [backup-simplify]: Simplify 1 into 1 7.983 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.983 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.983 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.983 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.983 * [taylor]: Taking taylor expansion of N in N 7.983 * [backup-simplify]: Simplify 0 into 0 7.983 * [backup-simplify]: Simplify 1 into 1 7.983 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.983 * [taylor]: Taking taylor expansion of 0.5 in N 7.984 * [backup-simplify]: Simplify 0.5 into 0.5 7.984 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.984 * [taylor]: Taking taylor expansion of N in N 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 1 into 1 7.984 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 7.984 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.984 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.984 * [taylor]: Taking taylor expansion of 1.0 in N 7.984 * [backup-simplify]: Simplify 1.0 into 1.0 7.984 * [taylor]: Taking taylor expansion of N in N 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 1 into 1 7.984 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.984 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.984 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.984 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.984 * [taylor]: Taking taylor expansion of N in N 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 1 into 1 7.984 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.984 * [taylor]: Taking taylor expansion of 0.5 in N 7.984 * [backup-simplify]: Simplify 0.5 into 0.5 7.984 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.984 * [taylor]: Taking taylor expansion of N in N 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 1 into 1 7.985 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.985 * [backup-simplify]: Simplify (+ 0 0) into 0 7.985 * [backup-simplify]: Simplify (+ 0 0) into 0 7.985 * [backup-simplify]: Simplify 0 into 0 7.987 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.987 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.988 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.988 * [backup-simplify]: Simplify 1.0 into 1.0 7.989 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.989 * [backup-simplify]: Simplify (+ 0 0) into 0 7.989 * [backup-simplify]: Simplify (* 1 1) into 1 7.990 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.990 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.991 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.992 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.992 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.993 * [backup-simplify]: Simplify (* 1 1) into 1 7.993 * [backup-simplify]: Simplify (* 1 1) into 1 7.993 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.993 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.994 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.994 * [backup-simplify]: Simplify (- 0) into 0 7.995 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.995 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.995 * [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)))) 7.996 * [backup-simplify]: Simplify (+ (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 0.3333333333333333 (pow (/ 1 (- N)) 3))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 7.996 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 7.996 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 7.996 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 7.996 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.996 * [taylor]: Taking taylor expansion of 0.5 in N 7.996 * [backup-simplify]: Simplify 0.5 into 0.5 7.996 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.996 * [taylor]: Taking taylor expansion of N in N 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 1 into 1 7.996 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.996 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.996 * [taylor]: Taking taylor expansion of 1.0 in N 7.996 * [backup-simplify]: Simplify 1.0 into 1.0 7.996 * [taylor]: Taking taylor expansion of N in N 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 1 into 1 7.996 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.996 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.996 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.996 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.996 * [taylor]: Taking taylor expansion of N in N 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 1 into 1 7.996 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 7.996 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 7.996 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.996 * [taylor]: Taking taylor expansion of 0.5 in N 7.996 * [backup-simplify]: Simplify 0.5 into 0.5 7.996 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.996 * [taylor]: Taking taylor expansion of N in N 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 1 into 1 7.996 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.996 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.996 * [taylor]: Taking taylor expansion of 1.0 in N 7.996 * [backup-simplify]: Simplify 1.0 into 1.0 7.996 * [taylor]: Taking taylor expansion of N in N 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 1 into 1 7.997 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.997 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.997 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.997 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.997 * [taylor]: Taking taylor expansion of N in N 7.997 * [backup-simplify]: Simplify 0 into 0 7.997 * [backup-simplify]: Simplify 1 into 1 7.997 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.997 * [backup-simplify]: Simplify (+ 0 0) into 0 7.997 * [backup-simplify]: Simplify (+ 0 0) into 0 7.998 * [backup-simplify]: Simplify (- 0) into 0 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.999 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.999 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.999 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.000 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.000 * [backup-simplify]: Simplify (* 1 1) into 1 8.000 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.001 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.001 * [backup-simplify]: Simplify (+ 0 0) into 0 8.001 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 8.001 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.002 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.002 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.003 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.003 * [backup-simplify]: Simplify (* 1 1) into 1 8.003 * [backup-simplify]: Simplify (* 1 1) into 1 8.004 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.004 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.004 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.004 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.005 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.006 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 8.006 * * * [progress]: simplifying candidates 8.008 * [simplify]: Simplifying: (log (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (exp (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt 1) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt 1) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt 1) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (* (- (* 1.0 (* N N)) (* N 0.5)) (pow N 3)) (* (* N (* N N)) 0.3333333333333333))) (cbrt (* (* N (* N N)) (pow N 3))) (cbrt (+ (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (pow N 3)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) 0.3333333333333333))) (cbrt (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3))) (cbrt (+ (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (pow N 3)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) 0.3333333333333333))) (cbrt (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3))) (cbrt (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3))) (cbrt (+ (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))))) (cbrt (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))))) (cbrt (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (* (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (sqrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (sqrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (log (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (exp (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt 1) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt 1) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt 1) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (* (- (* 1.0 (* N N)) (* N 0.5)) (pow N 3)) (* (* N (* N N)) 0.3333333333333333))) (cbrt (* (* N (* N N)) (pow N 3))) (cbrt (+ (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (pow N 3)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) 0.3333333333333333))) (cbrt (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3))) (cbrt (+ (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (pow N 3)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) 0.3333333333333333))) (cbrt (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3))) (cbrt (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3))) (cbrt (+ (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))))) (cbrt (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))))) (cbrt (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (* (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (sqrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (sqrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (log (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (exp (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt 1) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt 1) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt 1) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (* (- (* 1.0 (* N N)) (* N 0.5)) (pow N 3)) (* (* N (* N N)) 0.3333333333333333))) (cbrt (* (* N (* N N)) (pow N 3))) (cbrt (+ (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (pow N 3)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) 0.3333333333333333))) (cbrt (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3))) (cbrt (+ (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (pow N 3)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) 0.3333333333333333))) (cbrt (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3))) (cbrt (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3))) (cbrt (+ (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))))) (cbrt (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))))) (cbrt (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (* (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (sqrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (sqrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (* (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))) (exp (/ 0.3333333333333333 (pow N 3)))) (* (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (/ 0.3333333333333333 (pow N 3)))) (log (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (* (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (+ (* (- (* 1.0 (* N N)) (* N 0.5)) (pow N 3)) (* (* N (* N N)) 0.3333333333333333)) (* (* N (* N N)) (pow N 3)) (+ (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (pow N 3)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) 0.3333333333333333)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (+ (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (pow N 3)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) 0.3333333333333333)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3)) (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)))) (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) (- (+ (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (* 1.125 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)))) (+ (* 0.5 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) N)) (* 0.041666666666666664 (/ (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)) (pow 0.3333333333333333 2))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) (- (+ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* 0.125 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) N)))) (- (+ (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (* 1.125 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)))) (+ (* 0.5 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) N)) (* 0.041666666666666664 (/ (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)) (pow 0.3333333333333333 2))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) (- (+ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* 0.125 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) N)))) (- (+ (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (* 1.125 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)))) (+ (* 0.5 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) N)) (* 0.041666666666666664 (/ (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)) (pow 0.3333333333333333 2))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* 0.125 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) N)))) (- (+ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* 0.125 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (cbrt -1) (exp (* 1/3 (+ (log 1.0) (log (/ -1 N)))))) N)))) (- (+ (* 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)))) 8.011 * * [simplify]: Extracting # 0 : cost 0 8.012 * * [simplify]: Extracting # 1 : cost 0 8.012 * * [simplify]: Extracting # 2 : cost 0 8.012 * * [simplify]: Extracting # 3 : cost 0 8.012 * * [simplify]: Extracting # 4 : cost 0 8.012 * * [simplify]: Extracting # 5 : cost 0 8.012 * * [simplify]: Extracting # 6 : cost 0 8.013 * * [simplify]: Extracting # 7 : cost 0 8.013 * * [simplify]: Extracting # 8 : cost 0 8.013 * * [simplify]: Extracting # 9 : cost 0 8.013 * * [simplify]: Extracting # 10 : cost 0 8.013 * * [simplify]: Extracting # 11 : cost 0 8.014 * * [simplify]: Extracting # 12 : cost 0 8.014 * * [simplify]: iteration 0 : 151 enodes (cost 2971 ) 8.068 * * [simplify]: Extracting # 0 : cost 0 8.068 * * [simplify]: Extracting # 1 : cost 0 8.069 * * [simplify]: Extracting # 2 : cost 0 8.069 * * [simplify]: Extracting # 3 : cost 0 8.070 * * [simplify]: Extracting # 4 : cost 0 8.070 * * [simplify]: Extracting # 5 : cost 0 8.071 * * [simplify]: iteration 1 : 398 enodes (cost 2859 ) 8.368 * * [simplify]: Extracting # 0 : cost 0 8.372 * * [simplify]: Extracting # 1 : cost 0 8.374 * * [simplify]: Extracting # 2 : cost 0 8.376 * * [simplify]: Extracting # 3 : cost 0 8.378 * * [simplify]: Extracting # 4 : cost 0 8.380 * * [simplify]: iteration 2 : 1753 enodes (cost 2661 ) 9.181 * * [simplify]: Extracting # 0 : cost 0 9.193 * * [simplify]: Extracting # 1 : cost 0 9.208 * * [simplify]: Extracting # 2 : cost 0 9.231 * * [simplify]: Extracting # 3 : cost 0 9.239 * * [simplify]: Extracting # 4 : cost 0 9.246 * * [simplify]: iteration done: 5000 enodes (cost 2616 ) 9.248 * [simplify]: Simplified to: (log (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (exp (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) 1 (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) 1 (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) 1 (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (* (pow N 3) (+ 0.3333333333333333 (* N (- (* 1.0 N) 0.5))))) (cbrt (pow N 6)) (cbrt (+ (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (pow N 3)) (* 0.3333333333333333 (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))))))) (cbrt (* (pow N 3) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N))))))) (cbrt (+ (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (pow N 3)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) 0.3333333333333333))) (cbrt (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3))) (cbrt (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3))) (cbrt (+ (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))))) (cbrt (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))))) (cbrt (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (sqrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (sqrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (log (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (exp (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) 1 (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) 1 (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) 1 (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (* (pow N 3) (+ 0.3333333333333333 (* N (- (* 1.0 N) 0.5))))) (cbrt (pow N 6)) (cbrt (+ (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (pow N 3)) (* 0.3333333333333333 (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))))))) (cbrt (* (pow N 3) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N))))))) (cbrt (+ (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (pow N 3)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) 0.3333333333333333))) (cbrt (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3))) (cbrt (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3))) (cbrt (+ (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))))) (cbrt (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))))) (cbrt (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (sqrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (sqrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (log (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (exp (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) 1 (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) 1 (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) 1 (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (* (pow N 3) (+ 0.3333333333333333 (* N (- (* 1.0 N) 0.5))))) (cbrt (pow N 6)) (cbrt (+ (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (pow N 3)) (* 0.3333333333333333 (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))))))) (cbrt (* (pow N 3) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N))))))) (cbrt (+ (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (pow N 3)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) 0.3333333333333333))) (cbrt (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3))) (cbrt (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3))) (cbrt (+ (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))))) (cbrt (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))))) (cbrt (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))))) (cbrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (sqrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (sqrt (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (log (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (pow (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) 3) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (pow N 3) (+ 0.3333333333333333 (* N (- (* 1.0 N) 0.5)))) (pow N 6) (+ (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (pow N 3)) (* 0.3333333333333333 (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N))))))) (* (pow N 3) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))))) (+ (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (pow N 3)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) 0.3333333333333333)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3)) (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)))) (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) (- (- (+ (cbrt (exp (- (log 0.3333333333333333) (* 3 (log N))))) (* (cbrt (exp (- (log 0.3333333333333333) (* 3 (log N))))) (* (* N N) 1.125))) (* (cbrt (exp (- (log 0.3333333333333333) (* 3 (log N))))) (* N 0.5))) (* (/ (cbrt (exp (- (log 0.3333333333333333) (* 3 (log N))))) (/ 0.3333333333333333 N)) (/ 0.041666666666666664 (/ 0.3333333333333333 N)))) (+ (/ (* (cbrt (exp (- (log 1.0) (log N)))) 0.125) (* N N)) (- (cbrt (exp (- (log 1.0) (log N)))) (+ (* (/ 0.041666666666666664 (* 1.0 N)) (/ (cbrt (exp (- (log 1.0) (log N)))) (* 1.0 N))) (/ (* (cbrt (exp (- (log 1.0) (log N)))) 0.16666666666666666) N)))) (+ (- (- (/ (* (cbrt -1) 0.125) (/ (* N N) (cbrt (exp (+ (log 1.0) (log (/ -1 N))))))) (* (/ 0.041666666666666664 (* 1.0 N)) (/ (* (cbrt -1) (cbrt (exp (+ (log 1.0) (log (/ -1 N)))))) (* 1.0 N)))) (* (/ (cbrt (exp (+ (log 1.0) (log (/ -1 N))))) (/ N (cbrt -1))) 0.16666666666666666)) (* (cbrt -1) (cbrt (exp (+ (log 1.0) (log (/ -1 N))))))) (- (- (+ (cbrt (exp (- (log 0.3333333333333333) (* 3 (log N))))) (* (cbrt (exp (- (log 0.3333333333333333) (* 3 (log N))))) (* (* N N) 1.125))) (* (cbrt (exp (- (log 0.3333333333333333) (* 3 (log N))))) (* N 0.5))) (* (/ (cbrt (exp (- (log 0.3333333333333333) (* 3 (log N))))) (/ 0.3333333333333333 N)) (/ 0.041666666666666664 (/ 0.3333333333333333 N)))) (+ (/ (* (cbrt (exp (- (log 1.0) (log N)))) 0.125) (* N N)) (- (cbrt (exp (- (log 1.0) (log N)))) (+ (* (/ 0.041666666666666664 (* 1.0 N)) (/ (cbrt (exp (- (log 1.0) (log N)))) (* 1.0 N))) (/ (* (cbrt (exp (- (log 1.0) (log N)))) 0.16666666666666666) N)))) (+ (- (- (/ (* (cbrt -1) 0.125) (/ (* N N) (cbrt (exp (+ (log 1.0) (log (/ -1 N))))))) (* (/ 0.041666666666666664 (* 1.0 N)) (/ (* (cbrt -1) (cbrt (exp (+ (log 1.0) (log (/ -1 N)))))) (* 1.0 N)))) (* (/ (cbrt (exp (+ (log 1.0) (log (/ -1 N))))) (/ N (cbrt -1))) 0.16666666666666666)) (* (cbrt -1) (cbrt (exp (+ (log 1.0) (log (/ -1 N))))))) (- (- (+ (cbrt (exp (- (log 0.3333333333333333) (* 3 (log N))))) (* (cbrt (exp (- (log 0.3333333333333333) (* 3 (log N))))) (* (* N N) 1.125))) (* (cbrt (exp (- (log 0.3333333333333333) (* 3 (log N))))) (* N 0.5))) (* (/ (cbrt (exp (- (log 0.3333333333333333) (* 3 (log N))))) (/ 0.3333333333333333 N)) (/ 0.041666666666666664 (/ 0.3333333333333333 N)))) (+ (/ (* (cbrt (exp (- (log 1.0) (log N)))) 0.125) (* N N)) (- (cbrt (exp (- (log 1.0) (log N)))) (+ (* (/ 0.041666666666666664 (* 1.0 N)) (/ (cbrt (exp (- (log 1.0) (log N)))) (* 1.0 N))) (/ (* (cbrt (exp (- (log 1.0) (log N)))) 0.16666666666666666) N)))) (+ (- (- (/ (* (cbrt -1) 0.125) (/ (* N N) (cbrt (exp (+ (log 1.0) (log (/ -1 N))))))) (* (/ 0.041666666666666664 (* 1.0 N)) (/ (* (cbrt -1) (cbrt (exp (+ (log 1.0) (log (/ -1 N)))))) (* 1.0 N)))) (* (/ (cbrt (exp (+ (log 1.0) (log (/ -1 N))))) (/ N (cbrt -1))) 0.16666666666666666)) (* (cbrt -1) (cbrt (exp (+ (log 1.0) (log (/ -1 N))))))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)))) 9.249 * * * [progress]: adding candidates to table 9.691 * * [progress]: iteration 4 / 4 9.691 * * * [progress]: picking best candidate 9.706 * * * * [pick]: Picked # 9.706 * * * [progress]: localizing error 9.719 * * * [progress]: generating rewritten candidates 9.719 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 9.727 * * * [progress]: generating series expansions 9.727 * * * * [progress]: [ 1 / 1 ] generating series at (2) 9.727 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 9.727 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 9.727 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 9.727 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 9.727 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.727 * [taylor]: Taking taylor expansion of N in N 9.727 * [backup-simplify]: Simplify 0 into 0 9.727 * [backup-simplify]: Simplify 1 into 1 9.727 * [taylor]: Taking taylor expansion of 1.0 in N 9.727 * [backup-simplify]: Simplify 1.0 into 1.0 9.727 * [taylor]: Taking taylor expansion of N in N 9.727 * [backup-simplify]: Simplify 0 into 0 9.727 * [backup-simplify]: Simplify 1 into 1 9.728 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.728 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.728 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.728 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 9.728 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 9.728 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.728 * [taylor]: Taking taylor expansion of N in N 9.728 * [backup-simplify]: Simplify 0 into 0 9.728 * [backup-simplify]: Simplify 1 into 1 9.729 * [taylor]: Taking taylor expansion of 1.0 in N 9.729 * [backup-simplify]: Simplify 1.0 into 1.0 9.729 * [taylor]: Taking taylor expansion of N in N 9.729 * [backup-simplify]: Simplify 0 into 0 9.729 * [backup-simplify]: Simplify 1 into 1 9.729 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.729 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.729 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.730 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 9.730 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 9.731 * [backup-simplify]: Simplify (+ 1 0) into 1 9.731 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 9.734 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.734 * [backup-simplify]: Simplify 1.0 into 1.0 9.735 * [backup-simplify]: Simplify (+ 0 0) into 0 9.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.741 * [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)) 9.742 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 9.743 * [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))) 9.743 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 9.743 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 9.743 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 9.743 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 9.743 * [taylor]: Taking taylor expansion of N in N 9.743 * [backup-simplify]: Simplify 0 into 0 9.743 * [backup-simplify]: Simplify 1 into 1 9.743 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.743 * [taylor]: Taking taylor expansion of N in N 9.743 * [backup-simplify]: Simplify 0 into 0 9.743 * [backup-simplify]: Simplify 1 into 1 9.743 * [backup-simplify]: Simplify (/ 1 1) into 1 9.743 * [taylor]: Taking taylor expansion of 1.0 in N 9.743 * [backup-simplify]: Simplify 1.0 into 1.0 9.744 * [backup-simplify]: Simplify (+ 1 0) into 1 9.744 * [backup-simplify]: Simplify (* 0 1) into 0 9.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.745 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.746 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 9.746 * [backup-simplify]: Simplify (log 1) into 0 9.746 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 9.746 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 9.747 * [taylor]: Taking taylor expansion of N in N 9.747 * [backup-simplify]: Simplify 0 into 0 9.747 * [backup-simplify]: Simplify 1 into 1 9.747 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.747 * [taylor]: Taking taylor expansion of N in N 9.747 * [backup-simplify]: Simplify 0 into 0 9.747 * [backup-simplify]: Simplify 1 into 1 9.747 * [backup-simplify]: Simplify (/ 1 1) into 1 9.747 * [taylor]: Taking taylor expansion of 1.0 in N 9.747 * [backup-simplify]: Simplify 1.0 into 1.0 9.748 * [backup-simplify]: Simplify (+ 1 0) into 1 9.748 * [backup-simplify]: Simplify (* 0 1) into 0 9.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.749 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.749 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 9.749 * [backup-simplify]: Simplify (log 1) into 0 9.749 * [backup-simplify]: Simplify 0 into 0 9.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.750 * [backup-simplify]: Simplify (+ 0 0) into 0 9.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 9.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.755 * [backup-simplify]: Simplify 1.0 into 1.0 9.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.756 * [backup-simplify]: Simplify (+ 0 0) into 0 9.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 9.763 * [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 9.763 * [backup-simplify]: Simplify -0.5 into -0.5 9.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.764 * [backup-simplify]: Simplify (+ 0 0) into 0 9.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 9.775 * [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 9.775 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.775 * [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)))) 9.775 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 9.775 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 9.775 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 9.775 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 9.775 * [taylor]: Taking taylor expansion of -1 in N 9.775 * [backup-simplify]: Simplify -1 into -1 9.775 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 9.775 * [taylor]: Taking taylor expansion of N in N 9.775 * [backup-simplify]: Simplify 0 into 0 9.775 * [backup-simplify]: Simplify 1 into 1 9.775 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.775 * [taylor]: Taking taylor expansion of 1.0 in N 9.775 * [backup-simplify]: Simplify 1.0 into 1.0 9.775 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.775 * [taylor]: Taking taylor expansion of N in N 9.775 * [backup-simplify]: Simplify 0 into 0 9.775 * [backup-simplify]: Simplify 1 into 1 9.776 * [backup-simplify]: Simplify (/ 1 1) into 1 9.776 * [backup-simplify]: Simplify (- 1) into -1 9.776 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.777 * [backup-simplify]: Simplify (* 0 -1) into 0 9.777 * [backup-simplify]: Simplify (* -1 0) into 0 9.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.778 * [backup-simplify]: Simplify (- 0) into 0 9.778 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.778 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 9.779 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.779 * [backup-simplify]: Simplify (log 1) into 0 9.779 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 9.779 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 9.779 * [taylor]: Taking taylor expansion of -1 in N 9.779 * [backup-simplify]: Simplify -1 into -1 9.779 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 9.779 * [taylor]: Taking taylor expansion of N in N 9.779 * [backup-simplify]: Simplify 0 into 0 9.779 * [backup-simplify]: Simplify 1 into 1 9.779 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.779 * [taylor]: Taking taylor expansion of 1.0 in N 9.779 * [backup-simplify]: Simplify 1.0 into 1.0 9.779 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.779 * [taylor]: Taking taylor expansion of N in N 9.779 * [backup-simplify]: Simplify 0 into 0 9.779 * [backup-simplify]: Simplify 1 into 1 9.779 * [backup-simplify]: Simplify (/ 1 1) into 1 9.780 * [backup-simplify]: Simplify (- 1) into -1 9.780 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.780 * [backup-simplify]: Simplify (* 0 -1) into 0 9.781 * [backup-simplify]: Simplify (* -1 0) into 0 9.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.782 * [backup-simplify]: Simplify (- 0) into 0 9.782 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.783 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 9.784 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.784 * [backup-simplify]: Simplify (log 1) into 0 9.784 * [backup-simplify]: Simplify 0 into 0 9.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.785 * [backup-simplify]: Simplify (- 0) into 0 9.786 * [backup-simplify]: Simplify (+ 0 0) into 0 9.789 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 9.791 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 9.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 9.799 * [backup-simplify]: Simplify -1.0 into -1.0 9.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.801 * [backup-simplify]: Simplify (- 0) into 0 9.801 * [backup-simplify]: Simplify (+ 0 0) into 0 9.802 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 9.804 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 9.822 * [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 9.822 * [backup-simplify]: Simplify -0.5 into -0.5 9.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.823 * [backup-simplify]: Simplify (- 0) into 0 9.824 * [backup-simplify]: Simplify (+ 0 0) into 0 9.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 9.827 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 9.848 * [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 9.848 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 9.849 * [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)))) 9.849 * * * [progress]: simplifying candidates 9.850 * [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))) (- (+ (* 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)))) 9.852 * * [simplify]: Extracting # 0 : cost 0 9.852 * * [simplify]: Extracting # 1 : cost 0 9.852 * * [simplify]: Extracting # 2 : cost 0 9.852 * * [simplify]: Extracting # 3 : cost 0 9.852 * * [simplify]: Extracting # 4 : cost 0 9.853 * * [simplify]: Extracting # 5 : cost 0 9.853 * * [simplify]: Extracting # 6 : cost 0 9.853 * * [simplify]: Extracting # 7 : cost 0 9.853 * * [simplify]: iteration 0 : 84 enodes (cost 381 ) 9.893 * * [simplify]: Extracting # 0 : cost 0 9.893 * * [simplify]: Extracting # 1 : cost 0 9.894 * * [simplify]: Extracting # 2 : cost 0 9.894 * * [simplify]: Extracting # 3 : cost 0 9.894 * * [simplify]: Extracting # 4 : cost 0 9.895 * * [simplify]: iteration 1 : 169 enodes (cost 363 ) 9.991 * * [simplify]: Extracting # 0 : cost 0 9.992 * * [simplify]: Extracting # 1 : cost 0 9.993 * * [simplify]: Extracting # 2 : cost 0 9.994 * * [simplify]: Extracting # 3 : cost 0 9.995 * * [simplify]: Extracting # 4 : cost 0 9.996 * * [simplify]: iteration 2 : 452 enodes (cost 334 ) 10.265 * * [simplify]: Extracting # 0 : cost 0 10.267 * * [simplify]: Extracting # 1 : cost 0 10.269 * * [simplify]: Extracting # 2 : cost 0 10.271 * * [simplify]: Extracting # 3 : cost 0 10.273 * * [simplify]: iteration 3 : 1875 enodes (cost 321 ) 10.902 * * [simplify]: Extracting # 0 : cost 0 10.916 * * [simplify]: Extracting # 1 : cost 0 10.928 * * [simplify]: Extracting # 2 : cost 0 10.936 * * [simplify]: Extracting # 3 : cost 0 10.942 * * [simplify]: Extracting # 4 : cost 0 10.947 * * [simplify]: iteration done: 5001 enodes (cost 321 ) 10.948 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (pow N 2)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (pow N 2)))) 10.948 * * * [progress]: adding candidates to table 11.008 * [progress]: [Phase 3 of 3] Extracting. 11.008 * * [regime]: Finding splitpoints for: (# # # # # # #) 11.011 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.012 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 11.060 * * * [regime]: Found split indices: #