32.638 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.095 * * * [progress]: [2/2] Setting up program. 0.097 * [progress]: [Phase 2 of 3] Improving. 0.097 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.097 * * [simplify]: Extracting # 0 : cost 0 0.097 * * [simplify]: Extracting # 1 : cost 0 0.097 * * [simplify]: Extracting # 2 : cost 0 0.097 * * [simplify]: Extracting # 3 : cost 0 0.097 * * [simplify]: Extracting # 4 : cost 0 0.097 * * [simplify]: Extracting # 5 : cost 0 0.097 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.098 * * [simplify]: Extracting # 0 : cost 0 0.098 * * [simplify]: Extracting # 1 : cost 0 0.098 * * [simplify]: Extracting # 2 : cost 0 0.098 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.100 * * [simplify]: Extracting # 0 : cost 0 0.100 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.101 * * [simplify]: Extracting # 0 : cost 0 0.101 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.101 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.101 * * [progress]: iteration 1 / 4 0.101 * * * [progress]: picking best candidate 0.103 * * * * [pick]: Picked # 0.103 * * * [progress]: localizing error 0.112 * * * [progress]: generating rewritten candidates 0.112 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.123 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.152 * * * [progress]: generating series expansions 0.152 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.157 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.157 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.158 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.158 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of 1.0 in N 0.159 * [backup-simplify]: Simplify 1.0 into 1.0 0.160 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.161 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.161 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.161 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.161 * [taylor]: Taking taylor expansion of N in N 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [taylor]: Taking taylor expansion of 1.0 in N 0.161 * [backup-simplify]: Simplify 1.0 into 1.0 0.161 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.162 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.163 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.164 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [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)) 0.185 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.188 * [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)))) 0.188 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.188 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.188 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [backup-simplify]: Simplify 1.0 into 1.0 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify (log 1) into 0 0.190 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.190 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [taylor]: Taking taylor expansion of 1.0 in N 0.191 * [backup-simplify]: Simplify 1.0 into 1.0 0.191 * [backup-simplify]: Simplify (+ 1 0) into 1 0.191 * [backup-simplify]: Simplify (log 1) into 0 0.192 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.192 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.200 * [backup-simplify]: Simplify 1.0 into 1.0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.214 * [backup-simplify]: Simplify -0.5 into -0.5 0.215 * [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)))) 0.215 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.215 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.215 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.215 * [taylor]: Taking taylor expansion of 1.0 in N 0.215 * [backup-simplify]: Simplify 1.0 into 1.0 0.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (- 1) into -1 0.217 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.217 * [backup-simplify]: Simplify (log -1) into (log -1) 0.217 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.217 * [taylor]: Taking taylor expansion of 1.0 in N 0.218 * [backup-simplify]: Simplify 1.0 into 1.0 0.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.218 * [taylor]: Taking taylor expansion of N in N 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify (- 1) into -1 0.231 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.232 * [backup-simplify]: Simplify (log -1) into (log -1) 0.233 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.234 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.239 * [backup-simplify]: Simplify -1.0 into -1.0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [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 0.247 * [backup-simplify]: Simplify -0.5 into -0.5 0.247 * [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)))) 0.247 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.248 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.248 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.248 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.248 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.248 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.248 * [taylor]: Taking taylor expansion of N in N 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of 1.0 in N 0.248 * [backup-simplify]: Simplify 1.0 into 1.0 0.248 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.248 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.248 * [taylor]: Taking taylor expansion of (log N) in N 0.248 * [taylor]: Taking taylor expansion of N in N 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (log 1) into 0 0.249 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.249 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.249 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.249 * [taylor]: Taking taylor expansion of N in N 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of 1.0 in N 0.249 * [backup-simplify]: Simplify 1.0 into 1.0 0.249 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.249 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.249 * [taylor]: Taking taylor expansion of (log N) in N 0.249 * [taylor]: Taking taylor expansion of N in N 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (log 1) into 0 0.250 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.250 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.250 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.251 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.251 * [backup-simplify]: Simplify (+ 1 0) into 1 0.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.257 * [backup-simplify]: Simplify 1.0 into 1.0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [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)) 0.265 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.268 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.271 * [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))) 0.271 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.271 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.271 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.271 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.271 * [taylor]: Taking taylor expansion of N in N 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of 1.0 in N 0.272 * [backup-simplify]: Simplify 1.0 into 1.0 0.272 * [backup-simplify]: Simplify (+ 1 0) into 1 0.273 * [backup-simplify]: Simplify (log 1) into 0 0.273 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.273 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.273 * [taylor]: Taking taylor expansion of N in N 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [backup-simplify]: Simplify (log 1) into 0 0.274 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.274 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.274 * [taylor]: Taking taylor expansion of N in N 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [taylor]: Taking taylor expansion of 1.0 in N 0.274 * [backup-simplify]: Simplify 1.0 into 1.0 0.275 * [backup-simplify]: Simplify (+ 1 0) into 1 0.275 * [backup-simplify]: Simplify (log 1) into 0 0.275 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.275 * [taylor]: Taking taylor expansion of N in N 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [backup-simplify]: Simplify (log 1) into 0 0.276 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.277 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.277 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.277 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.285 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.288 * [backup-simplify]: Simplify 1.0 into 1.0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [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 0.302 * [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 0.307 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.307 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [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 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [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 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.336 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.337 * [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)))) 0.337 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.337 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.337 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.337 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.337 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.337 * [taylor]: Taking taylor expansion of 1.0 in N 0.337 * [backup-simplify]: Simplify 1.0 into 1.0 0.337 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.337 * [taylor]: Taking taylor expansion of N in N 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [backup-simplify]: Simplify (- 1) into -1 0.339 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.339 * [backup-simplify]: Simplify (log -1) into (log -1) 0.339 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.339 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.339 * [taylor]: Taking taylor expansion of -1 in N 0.339 * [backup-simplify]: Simplify -1 into -1 0.339 * [taylor]: Taking taylor expansion of N in N 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (/ -1 1) into -1 0.341 * [backup-simplify]: Simplify (log -1) into (log -1) 0.341 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.341 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.341 * [taylor]: Taking taylor expansion of 1.0 in N 0.341 * [backup-simplify]: Simplify 1.0 into 1.0 0.341 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (/ 1 1) into 1 0.342 * [backup-simplify]: Simplify (- 1) into -1 0.342 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.342 * [backup-simplify]: Simplify (log -1) into (log -1) 0.342 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.342 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.343 * [taylor]: Taking taylor expansion of -1 in N 0.343 * [backup-simplify]: Simplify -1 into -1 0.343 * [taylor]: Taking taylor expansion of N in N 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (/ -1 1) into -1 0.343 * [backup-simplify]: Simplify (log -1) into (log -1) 0.344 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.345 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.346 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.347 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.355 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.358 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [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 0.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.374 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.375 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [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 0.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.390 * [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 0.391 * [backup-simplify]: Simplify (- 0) into 0 0.391 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.392 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.394 * [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)))) 0.394 * * * [progress]: simplifying candidates 0.395 * [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)))) 0.397 * * [simplify]: Extracting # 0 : cost 0 0.397 * * [simplify]: Extracting # 1 : cost 0 0.397 * * [simplify]: Extracting # 2 : cost 0 0.398 * * [simplify]: Extracting # 3 : cost 0 0.398 * * [simplify]: Extracting # 4 : cost 0 0.398 * * [simplify]: Extracting # 5 : cost 0 0.398 * * [simplify]: Extracting # 6 : cost 0 0.399 * * [simplify]: Extracting # 7 : cost 0 0.399 * * [simplify]: iteration 0 : 101 enodes (cost 510 ) 0.443 * * [simplify]: Extracting # 0 : cost 0 0.444 * * [simplify]: Extracting # 1 : cost 0 0.444 * * [simplify]: Extracting # 2 : cost 0 0.444 * * [simplify]: Extracting # 3 : cost 0 0.445 * * [simplify]: Extracting # 4 : cost 0 0.445 * * [simplify]: iteration 1 : 213 enodes (cost 488 ) 0.533 * * [simplify]: Extracting # 0 : cost 0 0.534 * * [simplify]: Extracting # 1 : cost 0 0.534 * * [simplify]: Extracting # 2 : cost 0 0.535 * * [simplify]: Extracting # 3 : cost 0 0.535 * * [simplify]: Extracting # 4 : cost 0 0.536 * * [simplify]: iteration 2 : 462 enodes (cost 445 ) 0.738 * * [simplify]: Extracting # 0 : cost 0 0.739 * * [simplify]: Extracting # 1 : cost 0 0.741 * * [simplify]: Extracting # 2 : cost 0 0.742 * * [simplify]: Extracting # 3 : cost 0 0.743 * * [simplify]: Extracting # 4 : cost 0 0.744 * * [simplify]: iteration 3 : 1063 enodes (cost 443 ) 1.582 * * [simplify]: Extracting # 0 : cost 0 1.587 * * [simplify]: Extracting # 1 : cost 0 1.590 * * [simplify]: Extracting # 2 : cost 0 1.593 * * [simplify]: Extracting # 3 : cost 0 1.595 * * [simplify]: Extracting # 4 : cost 0 1.597 * * [simplify]: iteration 4 : 2574 enodes (cost 438 ) 3.458 * * [simplify]: Extracting # 0 : cost 0 3.467 * * [simplify]: Extracting # 1 : cost 0 3.485 * * [simplify]: Extracting # 2 : cost 0 3.495 * * [simplify]: Extracting # 3 : cost 0 3.504 * * [simplify]: Extracting # 4 : cost 0 3.512 * * [simplify]: iteration done: 5001 enodes (cost 426 ) 3.512 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* 1.0 (- 1.0 N)) (* N N))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (+ (log (+ N 1.0)) (log N)) (log (+ N 1.0))) (* (log N) (log N))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log N) (log (+ (* 1.0 (- 1.0 N)) (* N N)))) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (log 1.0) (* N (- (/ (* 1/2 N) (* 1.0 1.0)) 1.0))) (+ (log N) (/ (- 1.0 (/ 0.5 N)) N)) (+ (log N) (/ (- 1.0 (/ 0.5 N)) N)) (+ (- (log 1.0) (log N)) (* N (- 1.0 (* 1/2 (/ N (* 1.0 1.0)))))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) 3.513 * * * [progress]: adding candidates to table 3.658 * * [progress]: iteration 2 / 4 3.658 * * * [progress]: picking best candidate 3.663 * * * * [pick]: Picked # 3.663 * * * [progress]: localizing error 3.675 * * * [progress]: generating rewritten candidates 3.675 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 3.790 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 3.802 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 3.872 * * * [progress]: generating series expansions 3.872 * * * * [progress]: [ 1 / 3 ] generating series at (2) 3.872 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.872 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.873 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 3.873 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 3.873 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.873 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.873 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.873 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.873 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.873 * [taylor]: Taking taylor expansion of N in N 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 1 into 1 3.874 * [backup-simplify]: Simplify (* 1 1) into 1 3.875 * [backup-simplify]: Simplify (* 1 1) into 1 3.875 * [backup-simplify]: Simplify (/ 1 1) into 1 3.875 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.875 * [taylor]: Taking taylor expansion of 1.0 in N 3.875 * [backup-simplify]: Simplify 1.0 into 1.0 3.875 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.875 * [taylor]: Taking taylor expansion of N in N 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 1 into 1 3.875 * [backup-simplify]: Simplify (/ 1 1) into 1 3.875 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.876 * [taylor]: Taking taylor expansion of 0.5 in N 3.876 * [backup-simplify]: Simplify 0.5 into 0.5 3.876 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.876 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.876 * [taylor]: Taking taylor expansion of N in N 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 1 into 1 3.876 * [backup-simplify]: Simplify (* 1 1) into 1 3.877 * [backup-simplify]: Simplify (/ 1 1) into 1 3.877 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 3.877 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 3.877 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.877 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.877 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.877 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.877 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.877 * [taylor]: Taking taylor expansion of N in N 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 1 into 1 3.877 * [backup-simplify]: Simplify (* 1 1) into 1 3.878 * [backup-simplify]: Simplify (* 1 1) into 1 3.878 * [backup-simplify]: Simplify (/ 1 1) into 1 3.878 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.878 * [taylor]: Taking taylor expansion of 1.0 in N 3.878 * [backup-simplify]: Simplify 1.0 into 1.0 3.878 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.878 * [taylor]: Taking taylor expansion of N in N 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.879 * [backup-simplify]: Simplify (/ 1 1) into 1 3.879 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.879 * [taylor]: Taking taylor expansion of 0.5 in N 3.879 * [backup-simplify]: Simplify 0.5 into 0.5 3.879 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.879 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.879 * [taylor]: Taking taylor expansion of N in N 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 1 into 1 3.879 * [backup-simplify]: Simplify (* 1 1) into 1 3.880 * [backup-simplify]: Simplify (/ 1 1) into 1 3.881 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.881 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.882 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.882 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.885 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.885 * [backup-simplify]: Simplify (+ 0 0) into 0 3.886 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.886 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.887 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.887 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.890 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.891 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.891 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.892 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.892 * [backup-simplify]: Simplify (- 0) into 0 3.893 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.893 * [backup-simplify]: Simplify 1.0 into 1.0 3.893 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 3.893 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 N) 3)) (/ (- 1.0 (/ 0.5 (/ 1 N))) (/ 1 N))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 3.893 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 3.894 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.894 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.894 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.894 * [taylor]: Taking taylor expansion of 1.0 in N 3.894 * [backup-simplify]: Simplify 1.0 into 1.0 3.894 * [taylor]: Taking taylor expansion of N in N 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 1 into 1 3.894 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.894 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.894 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.894 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.894 * [taylor]: Taking taylor expansion of N in N 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 1 into 1 3.894 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.894 * [taylor]: Taking taylor expansion of 0.5 in N 3.894 * [backup-simplify]: Simplify 0.5 into 0.5 3.894 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.894 * [taylor]: Taking taylor expansion of N in N 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 1 into 1 3.894 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.894 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.894 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.894 * [taylor]: Taking taylor expansion of 1.0 in N 3.894 * [backup-simplify]: Simplify 1.0 into 1.0 3.894 * [taylor]: Taking taylor expansion of N in N 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 1 into 1 3.894 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.894 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.894 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.894 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.894 * [taylor]: Taking taylor expansion of N in N 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 1 into 1 3.894 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.894 * [taylor]: Taking taylor expansion of 0.5 in N 3.894 * [backup-simplify]: Simplify 0.5 into 0.5 3.894 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.894 * [taylor]: Taking taylor expansion of N in N 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 1 into 1 3.895 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.895 * [backup-simplify]: Simplify (+ 0 0) into 0 3.895 * [backup-simplify]: Simplify (+ 0 0) into 0 3.895 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.896 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.897 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.897 * [backup-simplify]: Simplify 1.0 into 1.0 3.897 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.897 * [backup-simplify]: Simplify (+ 0 0) into 0 3.898 * [backup-simplify]: Simplify (* 1 1) into 1 3.898 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.898 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.899 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.899 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.900 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.900 * [backup-simplify]: Simplify (* 1 1) into 1 3.900 * [backup-simplify]: Simplify (* 1 1) into 1 3.900 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.901 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.901 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.902 * [backup-simplify]: Simplify (- 0) into 0 3.902 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 3.902 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.902 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.903 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (/ (- 1.0 (/ 0.5 (/ 1 (- N)))) (/ 1 (- N)))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 3.903 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 3.903 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.903 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.903 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.903 * [taylor]: Taking taylor expansion of 0.5 in N 3.903 * [backup-simplify]: Simplify 0.5 into 0.5 3.903 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.903 * [taylor]: Taking taylor expansion of N in N 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.903 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.903 * [taylor]: Taking taylor expansion of 1.0 in N 3.903 * [backup-simplify]: Simplify 1.0 into 1.0 3.903 * [taylor]: Taking taylor expansion of N in N 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.903 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.903 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.903 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.903 * [taylor]: Taking taylor expansion of N in N 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.903 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.903 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.903 * [taylor]: Taking taylor expansion of 0.5 in N 3.903 * [backup-simplify]: Simplify 0.5 into 0.5 3.903 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.903 * [taylor]: Taking taylor expansion of N in N 3.904 * [backup-simplify]: Simplify 0 into 0 3.904 * [backup-simplify]: Simplify 1 into 1 3.904 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.904 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.904 * [taylor]: Taking taylor expansion of 1.0 in N 3.904 * [backup-simplify]: Simplify 1.0 into 1.0 3.904 * [taylor]: Taking taylor expansion of N in N 3.904 * [backup-simplify]: Simplify 0 into 0 3.904 * [backup-simplify]: Simplify 1 into 1 3.904 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.904 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.904 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.904 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.904 * [taylor]: Taking taylor expansion of N in N 3.904 * [backup-simplify]: Simplify 0 into 0 3.904 * [backup-simplify]: Simplify 1 into 1 3.904 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.904 * [backup-simplify]: Simplify (+ 0 0) into 0 3.905 * [backup-simplify]: Simplify (+ 0 0) into 0 3.905 * [backup-simplify]: Simplify (- 0) into 0 3.905 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.906 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.906 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.907 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.907 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.907 * [backup-simplify]: Simplify (* 1 1) into 1 3.907 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.908 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.908 * [backup-simplify]: Simplify (+ 0 0) into 0 3.908 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.909 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.909 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.910 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.910 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.910 * [backup-simplify]: Simplify (* 1 1) into 1 3.911 * [backup-simplify]: Simplify (* 1 1) into 1 3.911 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.911 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.911 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.912 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.912 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 3.913 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.913 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 3.913 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 3.913 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 3.913 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.913 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.913 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.913 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.913 * [taylor]: Taking taylor expansion of N in N 3.913 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify 1 into 1 3.913 * [backup-simplify]: Simplify (* 1 1) into 1 3.914 * [backup-simplify]: Simplify (* 1 1) into 1 3.914 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.914 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.914 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.914 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.914 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.914 * [taylor]: Taking taylor expansion of N in N 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 1 into 1 3.914 * [backup-simplify]: Simplify (* 1 1) into 1 3.915 * [backup-simplify]: Simplify (* 1 1) into 1 3.915 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.915 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 3.922 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.925 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.928 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.931 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.935 * [backup-simplify]: Simplify 0 into 0 3.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.940 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 3.940 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 3.940 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.940 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.940 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.940 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.940 * [taylor]: Taking taylor expansion of N in N 3.940 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify 1 into 1 3.940 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.940 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.940 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.940 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.940 * [taylor]: Taking taylor expansion of N in N 3.940 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify 1 into 1 3.940 * [backup-simplify]: Simplify (* 1 1) into 1 3.941 * [backup-simplify]: Simplify (* 1 1) into 1 3.941 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.941 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.943 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.943 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.946 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.947 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.949 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.949 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.952 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.952 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.954 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.954 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.955 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 3.955 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 3.955 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.955 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.955 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.955 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.955 * [taylor]: Taking taylor expansion of N in N 3.955 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify 1 into 1 3.955 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.955 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.955 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.955 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.955 * [taylor]: Taking taylor expansion of N in N 3.955 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify 1 into 1 3.955 * [backup-simplify]: Simplify (* 1 1) into 1 3.956 * [backup-simplify]: Simplify (* 1 1) into 1 3.956 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 3.956 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.957 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 3.957 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.959 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.961 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.963 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.965 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.965 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.967 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.967 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.968 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 3.968 * [backup-simplify]: Simplify (/ (- 1.0 (/ 0.5 N)) N) into (/ (- 1.0 (* 0.5 (/ 1 N))) N) 3.968 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in (N) around 0 3.968 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 3.968 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 3.968 * [taylor]: Taking taylor expansion of 1.0 in N 3.968 * [backup-simplify]: Simplify 1.0 into 1.0 3.968 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 3.968 * [taylor]: Taking taylor expansion of 0.5 in N 3.968 * [backup-simplify]: Simplify 0.5 into 0.5 3.968 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.968 * [taylor]: Taking taylor expansion of N in N 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 1 into 1 3.968 * [backup-simplify]: Simplify (/ 1 1) into 1 3.968 * [taylor]: Taking taylor expansion of N in N 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 1 into 1 3.969 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.969 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.969 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.970 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 3.970 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 3.970 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 3.970 * [taylor]: Taking taylor expansion of 1.0 in N 3.970 * [backup-simplify]: Simplify 1.0 into 1.0 3.970 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 3.970 * [taylor]: Taking taylor expansion of 0.5 in N 3.970 * [backup-simplify]: Simplify 0.5 into 0.5 3.970 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.970 * [taylor]: Taking taylor expansion of N in N 3.970 * [backup-simplify]: Simplify 0 into 0 3.970 * [backup-simplify]: Simplify 1 into 1 3.970 * [backup-simplify]: Simplify (/ 1 1) into 1 3.970 * [taylor]: Taking taylor expansion of N in N 3.970 * [backup-simplify]: Simplify 0 into 0 3.970 * [backup-simplify]: Simplify 1 into 1 3.971 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.971 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.972 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.972 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 3.972 * [backup-simplify]: Simplify -0.5 into -0.5 3.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.973 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.973 * [backup-simplify]: Simplify (- 0) into 0 3.974 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.975 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -0.5 (/ 0 1)))) into 1.0 3.975 * [backup-simplify]: Simplify 1.0 into 1.0 3.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.976 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.976 * [backup-simplify]: Simplify (- 0) into 0 3.976 * [backup-simplify]: Simplify (+ 0 0) into 0 3.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (- 0) into 0 3.979 * [backup-simplify]: Simplify (+ 0 0) into 0 3.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.979 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.980 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.981 * [backup-simplify]: Simplify (- 0) into 0 3.981 * [backup-simplify]: Simplify (+ 0 0) into 0 3.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.982 * [backup-simplify]: Simplify 0 into 0 3.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.983 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.983 * [backup-simplify]: Simplify (- 0) into 0 3.983 * [backup-simplify]: Simplify (+ 0 0) into 0 3.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.984 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.985 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.986 * [backup-simplify]: Simplify (- 0) into 0 3.986 * [backup-simplify]: Simplify (+ 0 0) into 0 3.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.988 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.988 * [backup-simplify]: Simplify (- 0) into 0 3.989 * [backup-simplify]: Simplify (+ 0 0) into 0 3.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.989 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 3.990 * [backup-simplify]: Simplify (/ (- 1.0 (/ 0.5 (/ 1 N))) (/ 1 N)) into (* N (- 1.0 (* 0.5 N))) 3.990 * [approximate]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in (N) around 0 3.990 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 3.990 * [taylor]: Taking taylor expansion of N in N 3.990 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify 1 into 1 3.990 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 3.990 * [taylor]: Taking taylor expansion of 1.0 in N 3.990 * [backup-simplify]: Simplify 1.0 into 1.0 3.990 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.990 * [taylor]: Taking taylor expansion of 0.5 in N 3.990 * [backup-simplify]: Simplify 0.5 into 0.5 3.990 * [taylor]: Taking taylor expansion of N in N 3.990 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify 1 into 1 3.990 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 3.990 * [taylor]: Taking taylor expansion of N in N 3.990 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify 1 into 1 3.990 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 3.990 * [taylor]: Taking taylor expansion of 1.0 in N 3.990 * [backup-simplify]: Simplify 1.0 into 1.0 3.990 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.990 * [taylor]: Taking taylor expansion of 0.5 in N 3.990 * [backup-simplify]: Simplify 0.5 into 0.5 3.990 * [taylor]: Taking taylor expansion of N in N 3.990 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify 1 into 1 3.991 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.991 * [backup-simplify]: Simplify (- 0) into 0 3.991 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.991 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.991 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 3.992 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.993 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.994 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 3.994 * [backup-simplify]: Simplify 1.0 into 1.0 3.995 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 3.995 * [backup-simplify]: Simplify (- 0) into 0 3.995 * [backup-simplify]: Simplify (+ 0 0) into 0 3.997 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 3.997 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.998 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.998 * [backup-simplify]: Simplify (- 0) into 0 3.998 * [backup-simplify]: Simplify (+ 0 0) into 0 3.999 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0 3.999 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.000 * [backup-simplify]: Simplify (- 0) into 0 4.000 * [backup-simplify]: Simplify (+ 0 0) into 0 4.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))) into 0 4.001 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.002 * [backup-simplify]: Simplify (- 0) into 0 4.003 * [backup-simplify]: Simplify (+ 0 0) into 0 4.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))) into 0 4.004 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.005 * [backup-simplify]: Simplify (- 0) into 0 4.005 * [backup-simplify]: Simplify (+ 0 0) into 0 4.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))) into 0 4.006 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.008 * [backup-simplify]: Simplify (- 0) into 0 4.008 * [backup-simplify]: Simplify (+ 0 0) into 0 4.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))))) into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 4.011 * [backup-simplify]: Simplify (- 0) into 0 4.011 * [backup-simplify]: Simplify (+ 0 0) into 0 4.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))))) into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 4.013 * [backup-simplify]: Simplify (/ (- 1.0 (/ 0.5 (/ 1 (- N)))) (/ 1 (- N))) into (* -1 (* (+ (* 0.5 N) 1.0) N)) 4.013 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in (N) around 0 4.013 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 4.013 * [taylor]: Taking taylor expansion of -1 in N 4.013 * [backup-simplify]: Simplify -1 into -1 4.013 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 4.013 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 4.013 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.013 * [taylor]: Taking taylor expansion of 0.5 in N 4.013 * [backup-simplify]: Simplify 0.5 into 0.5 4.013 * [taylor]: Taking taylor expansion of N in N 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * [taylor]: Taking taylor expansion of 1.0 in N 4.013 * [backup-simplify]: Simplify 1.0 into 1.0 4.013 * [taylor]: Taking taylor expansion of N in N 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 4.013 * [taylor]: Taking taylor expansion of -1 in N 4.013 * [backup-simplify]: Simplify -1 into -1 4.013 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 4.013 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 4.013 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.014 * [taylor]: Taking taylor expansion of 0.5 in N 4.014 * [backup-simplify]: Simplify 0.5 into 0.5 4.014 * [taylor]: Taking taylor expansion of N in N 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [taylor]: Taking taylor expansion of 1.0 in N 4.014 * [backup-simplify]: Simplify 1.0 into 1.0 4.014 * [taylor]: Taking taylor expansion of N in N 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.020 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.020 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.020 * [backup-simplify]: Simplify (* -1 0) into 0 4.020 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.021 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.022 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0.5 0)) into 1.0 4.023 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 0)) into (- 1.0) 4.023 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.024 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.024 * [backup-simplify]: Simplify (+ 0 0) into 0 4.026 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 1) (* 0 0))) into 0.5 4.027 * [backup-simplify]: Simplify (+ (* -1 0.5) (+ (* 0 1.0) (* 0 0))) into (- 0.5) 4.028 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.028 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.029 * [backup-simplify]: Simplify (+ 0 0) into 0 4.029 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 1) (* 0 0)))) into 0 4.030 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))) into 0 4.030 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.031 * [backup-simplify]: Simplify (+ 0 0) into 0 4.032 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.033 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))) into 0 4.033 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.034 * [backup-simplify]: Simplify (+ 0 0) into 0 4.035 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.036 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))) into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.037 * [backup-simplify]: Simplify (+ 0 0) into 0 4.038 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.040 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))) into 0 4.040 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.041 * [backup-simplify]: Simplify (+ 0 0) into 0 4.042 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.043 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))))) into 0 4.043 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 4.045 * [backup-simplify]: Simplify (+ 0 0) into 0 4.046 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 4.047 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))))) into 0 4.047 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 4.048 * * * [progress]: simplifying candidates 4.051 * [simplify]: Simplifying: (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (/ (- 1.0 (/ 0.5 N)) N))) (log (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (* (* (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (+ (* 0.3333333333333333 N) (* (pow N 3) (- 1.0 (/ 0.5 N)))) (* (pow N 3) N) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ (- 1.0 (/ 0.5 N)) N) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N)) (* (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N))) (- (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (- (log (- 1.0 (/ 0.5 N))) (log N)) (log (/ (- 1.0 (/ 0.5 N)) N)) (exp (/ (- 1.0 (/ 0.5 N)) N)) (/ (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N))) (* (* N N) N)) (* (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (cbrt (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (* (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N)) (/ (- 1.0 (/ 0.5 N)) N)) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (- (- 1.0 (/ 0.5 N))) (- N) (/ 1.0 N) (/ (/ 0.5 N) N) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt N)) (/ (cbrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) 1) (/ (cbrt (- 1.0 (/ 0.5 N))) N) (/ (sqrt (- 1.0 (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) 1) (/ (sqrt (- 1.0 (/ 0.5 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ 1 1) (/ (- 1.0 (/ 0.5 N)) N) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) (cbrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) 1) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) N) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (* (cbrt N) (cbrt N))) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (cbrt N)) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 1) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ 1 1) (/ (- 1.0 (/ 0.5 N)) N) (/ 1 N) (/ N (- 1.0 (/ 0.5 N))) (/ (- 1.0 (/ 0.5 N)) (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (- 1.0 (/ 0.5 N)) 1) (/ N (cbrt (- 1.0 (/ 0.5 N)))) (/ N (sqrt (- 1.0 (/ 0.5 N)))) (/ N (- 1.0 (/ 0.5 N))) (/ N (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (/ N (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N)))) (/ N (- 1.0 (/ 0.5 N))) (* N (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N))))) (* N (+ 1.0 (/ 0.5 N))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 4.056 * * [simplify]: Extracting # 0 : cost 0 4.057 * * [simplify]: Extracting # 1 : cost 0 4.057 * * [simplify]: Extracting # 2 : cost 0 4.057 * * [simplify]: Extracting # 3 : cost 0 4.057 * * [simplify]: Extracting # 4 : cost 0 4.058 * * [simplify]: Extracting # 5 : cost 0 4.058 * * [simplify]: Extracting # 6 : cost 0 4.058 * * [simplify]: iteration 0 : 203 enodes (cost 1721 ) 4.142 * * [simplify]: Extracting # 0 : cost 0 4.143 * * [simplify]: Extracting # 1 : cost 0 4.144 * * [simplify]: Extracting # 2 : cost 0 4.144 * * [simplify]: Extracting # 3 : cost 0 4.145 * * [simplify]: Extracting # 4 : cost 0 4.145 * * [simplify]: iteration 1 : 438 enodes (cost 1521 ) 4.359 * * [simplify]: Extracting # 0 : cost 0 4.360 * * [simplify]: Extracting # 1 : cost 0 4.362 * * [simplify]: Extracting # 2 : cost 0 4.363 * * [simplify]: Extracting # 3 : cost 0 4.368 * * [simplify]: iteration 2 : 1194 enodes (cost 1426 ) 5.047 * * [simplify]: Extracting # 0 : cost 0 5.053 * * [simplify]: Extracting # 1 : cost 0 5.060 * * [simplify]: Extracting # 2 : cost 0 5.066 * * [simplify]: Extracting # 3 : cost 0 5.085 * * [simplify]: Extracting # 4 : cost 0 5.098 * * [simplify]: iteration done: 5000 enodes (cost 1426 ) 5.100 * [simplify]: Simplified to: (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (log (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (pow (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) 3) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (+ (* 0.3333333333333333 N) (* (pow N 3) (- 1.0 (/ 0.5 N)))) (pow N 4) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ (- 1.0 (/ 0.5 N)) N) 3)) (+ (* (/ (- 1.0 (/ 0.5 N)) N) (- (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6))) (- (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)) (/ (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (pow N 2))) (- (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (cbrt 0.3333333333333333) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (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 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (log (/ (- 1.0 (/ 0.5 N)) N)) (log (/ (- 1.0 (/ 0.5 N)) N)) (exp (/ (- 1.0 (/ 0.5 N)) N)) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (* (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (cbrt (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (- (- 1.0 (/ 0.5 N))) (- N) (/ 1.0 N) (/ (/ 0.5 N) N) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt N)) (/ (cbrt (- 1.0 (/ 0.5 N))) (sqrt N)) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ (cbrt (- 1.0 (/ 0.5 N))) N) (/ (sqrt (- 1.0 (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (sqrt (- 1.0 (/ 0.5 N))) (/ (sqrt (- 1.0 (/ 0.5 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) 1 (/ (- 1.0 (/ 0.5 N)) N) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) (cbrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) N) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (* (cbrt N) (cbrt N))) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (cbrt N)) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) 1 (/ (- 1.0 (/ 0.5 N)) N) (/ 1 N) (/ N (- 1.0 (/ 0.5 N))) (/ (- 1.0 (/ 0.5 N)) (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (- 1.0 (/ 0.5 N)) (/ N (cbrt (- 1.0 (/ 0.5 N)))) (/ N (sqrt (- 1.0 (/ 0.5 N)))) (/ N (- 1.0 (/ 0.5 N))) (/ N (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (/ N (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N)))) (/ N (- 1.0 (/ 0.5 N))) (* N (+ (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) (* 1.0 1.0))) (* N (+ 1.0 (/ 0.5 N))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) 5.102 * * * [progress]: adding candidates to table 5.455 * * [progress]: iteration 3 / 4 5.455 * * * [progress]: picking best candidate 5.470 * * * * [pick]: Picked # 5.471 * * * [progress]: localizing error 5.489 * * * [progress]: generating rewritten candidates 5.489 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.703 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 5.807 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 5.822 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 5.847 * * * [progress]: generating series expansions 5.847 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.848 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow N 3)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ N (cbrt (- 1.0 (/ 0.5 N)))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 5.848 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 5.848 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 5.848 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 5.848 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 5.848 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.848 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.848 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.848 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.848 * [taylor]: Taking taylor expansion of N in N 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify 1 into 1 5.849 * [backup-simplify]: Simplify (* 1 1) into 1 5.849 * [backup-simplify]: Simplify (* 1 1) into 1 5.850 * [backup-simplify]: Simplify (/ 1 1) into 1 5.850 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 5.850 * [taylor]: Taking taylor expansion of 1.0 in N 5.850 * [backup-simplify]: Simplify 1.0 into 1.0 5.850 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.850 * [taylor]: Taking taylor expansion of N in N 5.850 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify 1 into 1 5.850 * [backup-simplify]: Simplify (/ 1 1) into 1 5.850 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 5.850 * [taylor]: Taking taylor expansion of 0.5 in N 5.850 * [backup-simplify]: Simplify 0.5 into 0.5 5.850 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.850 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.850 * [taylor]: Taking taylor expansion of N in N 5.850 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify 1 into 1 5.851 * [backup-simplify]: Simplify (* 1 1) into 1 5.851 * [backup-simplify]: Simplify (/ 1 1) into 1 5.851 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 5.851 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 5.851 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 5.851 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.851 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.851 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.851 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.851 * [taylor]: Taking taylor expansion of N in N 5.851 * [backup-simplify]: Simplify 0 into 0 5.851 * [backup-simplify]: Simplify 1 into 1 5.852 * [backup-simplify]: Simplify (* 1 1) into 1 5.852 * [backup-simplify]: Simplify (* 1 1) into 1 5.852 * [backup-simplify]: Simplify (/ 1 1) into 1 5.852 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 5.852 * [taylor]: Taking taylor expansion of 1.0 in N 5.852 * [backup-simplify]: Simplify 1.0 into 1.0 5.852 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.852 * [taylor]: Taking taylor expansion of N in N 5.852 * [backup-simplify]: Simplify 0 into 0 5.852 * [backup-simplify]: Simplify 1 into 1 5.853 * [backup-simplify]: Simplify (/ 1 1) into 1 5.853 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 5.853 * [taylor]: Taking taylor expansion of 0.5 in N 5.853 * [backup-simplify]: Simplify 0.5 into 0.5 5.853 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.853 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.853 * [taylor]: Taking taylor expansion of N in N 5.853 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify 1 into 1 5.853 * [backup-simplify]: Simplify (* 1 1) into 1 5.854 * [backup-simplify]: Simplify (/ 1 1) into 1 5.854 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.855 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 5.855 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 5.855 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.858 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 5.858 * [backup-simplify]: Simplify (+ 0 0) into 0 5.858 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.859 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.860 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 5.860 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.864 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.864 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 5.864 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.866 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.867 * [backup-simplify]: Simplify (- 0) into 0 5.867 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.867 * [backup-simplify]: Simplify 1.0 into 1.0 5.868 * [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)))) 5.869 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 N) 3)) (/ (* (cbrt (- 1.0 (/ 0.5 (/ 1 N)))) (cbrt (- 1.0 (/ 0.5 (/ 1 N))))) (/ (/ 1 N) (cbrt (- 1.0 (/ 0.5 (/ 1 N))))))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 5.869 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 5.869 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 5.869 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 5.869 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.869 * [taylor]: Taking taylor expansion of 1.0 in N 5.869 * [backup-simplify]: Simplify 1.0 into 1.0 5.869 * [taylor]: Taking taylor expansion of N in N 5.869 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify 1 into 1 5.869 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.869 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.869 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.869 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.869 * [taylor]: Taking taylor expansion of N in N 5.869 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify 1 into 1 5.869 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.869 * [taylor]: Taking taylor expansion of 0.5 in N 5.869 * [backup-simplify]: Simplify 0.5 into 0.5 5.869 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.869 * [taylor]: Taking taylor expansion of N in N 5.869 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify 1 into 1 5.869 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 5.869 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 5.869 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.869 * [taylor]: Taking taylor expansion of 1.0 in N 5.869 * [backup-simplify]: Simplify 1.0 into 1.0 5.869 * [taylor]: Taking taylor expansion of N in N 5.869 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify 1 into 1 5.869 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.870 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.870 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.870 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.870 * [taylor]: Taking taylor expansion of N in N 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 1 into 1 5.870 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.870 * [taylor]: Taking taylor expansion of 0.5 in N 5.870 * [backup-simplify]: Simplify 0.5 into 0.5 5.870 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.870 * [taylor]: Taking taylor expansion of N in N 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 1 into 1 5.870 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.871 * [backup-simplify]: Simplify (+ 0 0) into 0 5.871 * [backup-simplify]: Simplify (+ 0 0) into 0 5.871 * [backup-simplify]: Simplify 0 into 0 5.872 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 5.873 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.873 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.873 * [backup-simplify]: Simplify 1.0 into 1.0 5.874 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 5.874 * [backup-simplify]: Simplify (+ 0 0) into 0 5.875 * [backup-simplify]: Simplify (* 1 1) into 1 5.875 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.875 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.876 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 5.876 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.877 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.878 * [backup-simplify]: Simplify (* 1 1) into 1 5.878 * [backup-simplify]: Simplify (* 1 1) into 1 5.878 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.879 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 5.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.880 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.880 * [backup-simplify]: Simplify (- 0) into 0 5.881 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 5.881 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.882 * [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)))) 5.883 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (/ (* (cbrt (- 1.0 (/ 0.5 (/ 1 (- N))))) (cbrt (- 1.0 (/ 0.5 (/ 1 (- N)))))) (/ (/ 1 (- N)) (cbrt (- 1.0 (/ 0.5 (/ 1 (- N)))))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 5.883 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 5.883 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 5.883 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 5.883 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.883 * [taylor]: Taking taylor expansion of 0.5 in N 5.883 * [backup-simplify]: Simplify 0.5 into 0.5 5.883 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.883 * [taylor]: Taking taylor expansion of N in N 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify 1 into 1 5.883 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 5.883 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.883 * [taylor]: Taking taylor expansion of 1.0 in N 5.883 * [backup-simplify]: Simplify 1.0 into 1.0 5.883 * [taylor]: Taking taylor expansion of N in N 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify 1 into 1 5.883 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.883 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.883 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.883 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.883 * [taylor]: Taking taylor expansion of N in N 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify 1 into 1 5.883 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 5.883 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 5.883 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.884 * [taylor]: Taking taylor expansion of 0.5 in N 5.884 * [backup-simplify]: Simplify 0.5 into 0.5 5.884 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.884 * [taylor]: Taking taylor expansion of N in N 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 1 into 1 5.884 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 5.884 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 5.884 * [taylor]: Taking taylor expansion of 1.0 in N 5.884 * [backup-simplify]: Simplify 1.0 into 1.0 5.884 * [taylor]: Taking taylor expansion of N in N 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 1 into 1 5.884 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.884 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.884 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.884 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.884 * [taylor]: Taking taylor expansion of N in N 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 1 into 1 5.884 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.885 * [backup-simplify]: Simplify (+ 0 0) into 0 5.885 * [backup-simplify]: Simplify (+ 0 0) into 0 5.886 * [backup-simplify]: Simplify (- 0) into 0 5.886 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 5.887 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.888 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.888 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.888 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.889 * [backup-simplify]: Simplify (* 1 1) into 1 5.889 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.890 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 5.890 * [backup-simplify]: Simplify (+ 0 0) into 0 5.891 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 5.891 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.891 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.893 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.894 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.894 * [backup-simplify]: Simplify (* 1 1) into 1 5.894 * [backup-simplify]: Simplify (* 1 1) into 1 5.895 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.895 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 5.896 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 5.896 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 5.896 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 5.898 * [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)))) 5.898 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 5.898 * [backup-simplify]: Simplify (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) into (pow (pow (- 1.0 (* 0.5 (/ 1 N))) 2) 1/3) 5.898 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (* 0.5 (/ 1 N))) 2) 1/3) in (N) around 0 5.898 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (* 0.5 (/ 1 N))) 2) 1/3) in N 5.898 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (* 0.5 (/ 1 N))) 2)))) in N 5.898 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (* 0.5 (/ 1 N))) 2))) in N 5.898 * [taylor]: Taking taylor expansion of 1/3 in N 5.898 * [backup-simplify]: Simplify 1/3 into 1/3 5.898 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (* 0.5 (/ 1 N))) 2)) in N 5.898 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* 0.5 (/ 1 N))) 2) in N 5.898 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 5.898 * [taylor]: Taking taylor expansion of 1.0 in N 5.898 * [backup-simplify]: Simplify 1.0 into 1.0 5.898 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 5.898 * [taylor]: Taking taylor expansion of 0.5 in N 5.898 * [backup-simplify]: Simplify 0.5 into 0.5 5.898 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.898 * [taylor]: Taking taylor expansion of N in N 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify 1 into 1 5.899 * [backup-simplify]: Simplify (/ 1 1) into 1 5.899 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.900 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.900 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 5.901 * [backup-simplify]: Simplify (* (- 0.5) (- 0.5)) into 0.25 5.902 * [backup-simplify]: Simplify (log 0.25) into (log 0.25) 5.902 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log 0.25)) into (- (log 0.25) (* 2 (log N))) 5.903 * [backup-simplify]: Simplify (* 1/3 (- (log 0.25) (* 2 (log N)))) into (* 1/3 (- (log 0.25) (* 2 (log N)))) 5.904 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.25) (* 2 (log N))))) into (exp (* 1/3 (- (log 0.25) (* 2 (log N))))) 5.904 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (* 0.5 (/ 1 N))) 2) 1/3) in N 5.904 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (* 0.5 (/ 1 N))) 2)))) in N 5.904 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (* 0.5 (/ 1 N))) 2))) in N 5.904 * [taylor]: Taking taylor expansion of 1/3 in N 5.904 * [backup-simplify]: Simplify 1/3 into 1/3 5.904 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (* 0.5 (/ 1 N))) 2)) in N 5.904 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* 0.5 (/ 1 N))) 2) in N 5.904 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 5.904 * [taylor]: Taking taylor expansion of 1.0 in N 5.904 * [backup-simplify]: Simplify 1.0 into 1.0 5.904 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 5.904 * [taylor]: Taking taylor expansion of 0.5 in N 5.904 * [backup-simplify]: Simplify 0.5 into 0.5 5.904 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.904 * [taylor]: Taking taylor expansion of N in N 5.904 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify 1 into 1 5.904 * [backup-simplify]: Simplify (/ 1 1) into 1 5.905 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.905 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.906 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 5.907 * [backup-simplify]: Simplify (* (- 0.5) (- 0.5)) into 0.25 5.907 * [backup-simplify]: Simplify (log 0.25) into (log 0.25) 5.908 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log 0.25)) into (- (log 0.25) (* 2 (log N))) 5.909 * [backup-simplify]: Simplify (* 1/3 (- (log 0.25) (* 2 (log N)))) into (* 1/3 (- (log 0.25) (* 2 (log N)))) 5.909 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.25) (* 2 (log N))))) into (exp (* 1/3 (- (log 0.25) (* 2 (log N))))) 5.910 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.25) (* 2 (log N))))) into (exp (* 1/3 (- (log 0.25) (* 2 (log N))))) 5.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.911 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.912 * [backup-simplify]: Simplify (- 0) into 0 5.912 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.914 * [backup-simplify]: Simplify (+ (* (- 0.5) 1.0) (* 1.0 (- 0.5))) into (- 1.0) 5.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 0.25 1)))) 1) into -4.0 5.929 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log 0.25)) into (- (log 0.25) (* 2 (log N))) 5.930 * [backup-simplify]: Simplify (+ (* 1/3 -4.0) (* 0 (- (log 0.25) (* 2 (log N))))) into (- 1.3333333333333333) 5.934 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.25) (* 2 (log N))))) (+ (* (/ (pow (- 1.3333333333333333) 1) 1)))) into (* -1.3333333333333333 (exp (* 1/3 (- (log 0.25) (* 2 (log N)))))) 5.934 * [backup-simplify]: Simplify (* -1.3333333333333333 (exp (* 1/3 (- (log 0.25) (* 2 (log N)))))) into (* -1.3333333333333333 (exp (* 1/3 (- (log 0.25) (* 2 (log N)))))) 5.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.936 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.936 * [backup-simplify]: Simplify (- 0) into 0 5.937 * [backup-simplify]: Simplify (+ 0 0) into 0 5.939 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 1.0 1.0) (* 0 (- 0.5)))) into 1.0 5.952 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 0.25 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 0.25 1)))) 2) into (* 1/2 (- 8.0 (* 1.0 (/ 1 (pow 0.25 2))))) 5.952 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log 0.25)) into (- (log 0.25) (* 2 (log N))) 5.956 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 8.0 (* 1.0 (/ 1 (pow 0.25 2)))))) (+ (* 0 -4.0) (* 0 (- (log 0.25) (* 2 (log N)))))) into (- 1.3333333333333333 (* 0.16666666666666666 (/ 1 (pow 0.25 2)))) 5.963 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.25) (* 2 (log N))))) (+ (* (/ (pow (- 1.3333333333333333) 2) 2)) (* (/ (pow (- 1.3333333333333333 (* 0.16666666666666666 (/ 1 (pow 0.25 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 0.25) (* 2 (log N))))) (- 2.2222222222222223 (* 0.16666666666666666 (/ 1 (pow 0.25 2))))) 5.966 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.25) (* 2 (log N))))) (- 2.2222222222222223 (* 0.16666666666666666 (/ 1 (pow 0.25 2))))) into (* (exp (* 1/3 (- (log 0.25) (* 2 (log N))))) (- 2.2222222222222223 (* 0.16666666666666666 (/ 1 (pow 0.25 2))))) 5.969 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log 0.25) (* 2 (log N))))) (- 2.2222222222222223 (* 0.16666666666666666 (/ 1 (pow 0.25 2))))) (pow N 2)) (+ (* (* -1.3333333333333333 (exp (* 1/3 (- (log 0.25) (* 2 (log N)))))) N) (exp (* 1/3 (- (log 0.25) (* 2 (log N))))))) into (- (+ (exp (* 1/3 (- (log 0.25) (* 2 (log N))))) (* 2.2222222222222223 (* (exp (* 1/3 (- (log 0.25) (* 2 (log N))))) (pow N 2)))) (+ (* 1.3333333333333333 (* (exp (* 1/3 (- (log 0.25) (* 2 (log N))))) N)) (* 0.16666666666666666 (/ (* (exp (* 1/3 (- (log 0.25) (* 2 (log N))))) (pow N 2)) (pow 0.25 2))))) 5.969 * [backup-simplify]: Simplify (* (cbrt (- 1.0 (/ 0.5 (/ 1 N)))) (cbrt (- 1.0 (/ 0.5 (/ 1 N))))) into (pow (pow (- 1.0 (* 0.5 N)) 2) 1/3) 5.969 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (* 0.5 N)) 2) 1/3) in (N) around 0 5.969 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (* 0.5 N)) 2) 1/3) in N 5.969 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (* 0.5 N)) 2)))) in N 5.969 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (* 0.5 N)) 2))) in N 5.969 * [taylor]: Taking taylor expansion of 1/3 in N 5.969 * [backup-simplify]: Simplify 1/3 into 1/3 5.969 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (* 0.5 N)) 2)) in N 5.969 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* 0.5 N)) 2) in N 5.969 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 5.969 * [taylor]: Taking taylor expansion of 1.0 in N 5.969 * [backup-simplify]: Simplify 1.0 into 1.0 5.969 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 5.969 * [taylor]: Taking taylor expansion of 0.5 in N 5.969 * [backup-simplify]: Simplify 0.5 into 0.5 5.969 * [taylor]: Taking taylor expansion of N in N 5.969 * [backup-simplify]: Simplify 0 into 0 5.969 * [backup-simplify]: Simplify 1 into 1 5.970 * [backup-simplify]: Simplify (* 0.5 0) into 0 5.970 * [backup-simplify]: Simplify (- 0) into 0 5.970 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.970 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 5.970 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.971 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 5.972 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 5.972 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (* 0.5 N)) 2) 1/3) in N 5.972 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (* 0.5 N)) 2)))) in N 5.972 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (* 0.5 N)) 2))) in N 5.972 * [taylor]: Taking taylor expansion of 1/3 in N 5.972 * [backup-simplify]: Simplify 1/3 into 1/3 5.972 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (* 0.5 N)) 2)) in N 5.972 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* 0.5 N)) 2) in N 5.972 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 5.972 * [taylor]: Taking taylor expansion of 1.0 in N 5.972 * [backup-simplify]: Simplify 1.0 into 1.0 5.972 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 5.972 * [taylor]: Taking taylor expansion of 0.5 in N 5.972 * [backup-simplify]: Simplify 0.5 into 0.5 5.972 * [taylor]: Taking taylor expansion of N in N 5.972 * [backup-simplify]: Simplify 0 into 0 5.972 * [backup-simplify]: Simplify 1 into 1 5.973 * [backup-simplify]: Simplify (* 0.5 0) into 0 5.973 * [backup-simplify]: Simplify (- 0) into 0 5.973 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.973 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 5.974 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.974 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 5.975 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 5.975 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 5.976 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 5.977 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 5.977 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 5.979 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* (- 0.5) 1.0)) into (- 1.0) 5.987 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1.0 1)))) 1) into -1.0 5.989 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (log 1.0))) into (- 0.3333333333333333) 5.996 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow 1.0 1/3)) 5.997 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow 1.0 1/3)) into (* -0.3333333333333333 (pow 1.0 1/3)) 5.998 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 5.999 * [backup-simplify]: Simplify (- 0) into 0 5.999 * [backup-simplify]: Simplify (+ 0 0) into 0 6.002 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- 0.5) (- 0.5)) (* 0 1.0))) into 0.25 6.019 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.25) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.5 (* 1.0 (/ 1 (pow 1.0 2))))) 6.029 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.5 (* 1.0 (/ 1 (pow 1.0 2)))))) (+ (* 0 -1.0) (* 0 (log 1.0)))) into (- 0.08333333333333333 (* 0.16666666666666666 (/ 1 (pow 1.0 2)))) 6.048 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.08333333333333333 (* 0.16666666666666666 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.1388888888888889 (* 0.16666666666666666 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) 6.051 * [backup-simplify]: Simplify (* (- 0.1388888888888889 (* 0.16666666666666666 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) into (* (- 0.1388888888888889 (* 0.16666666666666666 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) 6.056 * [backup-simplify]: Simplify (+ (* (* (- 0.1388888888888889 (* 0.16666666666666666 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) (pow (/ 1 N) 2)) (+ (* (* -0.3333333333333333 (pow 1.0 1/3)) (/ 1 N)) (pow 1.0 1/3))) into (- (+ (pow 1.0 1/3) (* 0.1388888888888889 (* (/ 1 (pow N 2)) (pow 1.0 1/3)))) (+ (* 0.16666666666666666 (* (/ 1 (pow N 2)) (pow (/ 1 (pow 1.0 5)) 1/3))) (* 0.3333333333333333 (* (/ 1 N) (pow 1.0 1/3))))) 6.056 * [backup-simplify]: Simplify (* (cbrt (- 1.0 (/ 0.5 (/ 1 (- N))))) (cbrt (- 1.0 (/ 0.5 (/ 1 (- N)))))) into (pow (pow (+ (* 0.5 N) 1.0) 2) 1/3) 6.056 * [approximate]: Taking taylor expansion of (pow (pow (+ (* 0.5 N) 1.0) 2) 1/3) in (N) around 0 6.056 * [taylor]: Taking taylor expansion of (pow (pow (+ (* 0.5 N) 1.0) 2) 1/3) in N 6.056 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (* 0.5 N) 1.0) 2)))) in N 6.056 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (* 0.5 N) 1.0) 2))) in N 6.056 * [taylor]: Taking taylor expansion of 1/3 in N 6.056 * [backup-simplify]: Simplify 1/3 into 1/3 6.056 * [taylor]: Taking taylor expansion of (log (pow (+ (* 0.5 N) 1.0) 2)) in N 6.056 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 N) 1.0) 2) in N 6.056 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.056 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.056 * [taylor]: Taking taylor expansion of 0.5 in N 6.056 * [backup-simplify]: Simplify 0.5 into 0.5 6.056 * [taylor]: Taking taylor expansion of N in N 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify 1 into 1 6.056 * [taylor]: Taking taylor expansion of 1.0 in N 6.056 * [backup-simplify]: Simplify 1.0 into 1.0 6.057 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.057 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.058 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 6.058 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.058 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 6.059 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 6.059 * [taylor]: Taking taylor expansion of (pow (pow (+ (* 0.5 N) 1.0) 2) 1/3) in N 6.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (* 0.5 N) 1.0) 2)))) in N 6.059 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (* 0.5 N) 1.0) 2))) in N 6.059 * [taylor]: Taking taylor expansion of 1/3 in N 6.059 * [backup-simplify]: Simplify 1/3 into 1/3 6.060 * [taylor]: Taking taylor expansion of (log (pow (+ (* 0.5 N) 1.0) 2)) in N 6.060 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 N) 1.0) 2) in N 6.060 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.060 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.060 * [taylor]: Taking taylor expansion of 0.5 in N 6.060 * [backup-simplify]: Simplify 0.5 into 0.5 6.060 * [taylor]: Taking taylor expansion of N in N 6.060 * [backup-simplify]: Simplify 0 into 0 6.060 * [backup-simplify]: Simplify 1 into 1 6.060 * [taylor]: Taking taylor expansion of 1.0 in N 6.060 * [backup-simplify]: Simplify 1.0 into 1.0 6.060 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.060 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.060 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 6.061 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.061 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 6.062 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 6.063 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 6.064 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.064 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.065 * [backup-simplify]: Simplify (+ (* 1.0 0.5) (* 0.5 1.0)) into 1.0 6.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1.0 1)))) 1) into 1.0 6.072 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 6.078 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 6.080 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 6.081 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.082 * [backup-simplify]: Simplify (+ 0 0) into 0 6.084 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0.5) (* 0 1.0))) into 0.25 6.099 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.25) 1)) (pow 1.0 1)))) 2) into -0.25 6.101 * [backup-simplify]: Simplify (+ (* 1/3 -0.25) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- 0.08333333333333333) 6.111 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.027777777777777776 (pow 1.0 1/3)) 6.112 * [backup-simplify]: Simplify (* -0.027777777777777776 (pow 1.0 1/3)) into (* -0.027777777777777776 (pow 1.0 1/3)) 6.115 * [backup-simplify]: Simplify (+ (* (* -0.027777777777777776 (pow 1.0 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* 0.3333333333333333 (pow 1.0 1/3)) (/ 1 (- N))) (pow 1.0 1/3))) into (- (pow 1.0 1/3) (+ (* 0.3333333333333333 (* (/ 1 N) (pow 1.0 1/3))) (* 0.027777777777777776 (* (/ 1 (pow N 2)) (pow 1.0 1/3))))) 6.116 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 6.116 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 6.116 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 6.116 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 6.116 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.116 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.116 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.116 * [taylor]: Taking taylor expansion of N in N 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 1 into 1 6.116 * [backup-simplify]: Simplify (* 1 1) into 1 6.117 * [backup-simplify]: Simplify (* 1 1) into 1 6.117 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.117 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 6.117 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.117 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.117 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.117 * [taylor]: Taking taylor expansion of N in N 6.117 * [backup-simplify]: Simplify 0 into 0 6.117 * [backup-simplify]: Simplify 1 into 1 6.118 * [backup-simplify]: Simplify (* 1 1) into 1 6.118 * [backup-simplify]: Simplify (* 1 1) into 1 6.118 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.119 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 6.121 * [backup-simplify]: Simplify 0 into 0 6.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.124 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.126 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.128 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.130 * [backup-simplify]: Simplify 0 into 0 6.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.132 * [backup-simplify]: Simplify 0 into 0 6.132 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.132 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 6.132 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 6.132 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.132 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.132 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.132 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.132 * [taylor]: Taking taylor expansion of N in N 6.132 * [backup-simplify]: Simplify 0 into 0 6.132 * [backup-simplify]: Simplify 1 into 1 6.132 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.133 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.133 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.133 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.133 * [taylor]: Taking taylor expansion of N in N 6.133 * [backup-simplify]: Simplify 0 into 0 6.133 * [backup-simplify]: Simplify 1 into 1 6.133 * [backup-simplify]: Simplify (* 1 1) into 1 6.133 * [backup-simplify]: Simplify (* 1 1) into 1 6.133 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.133 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.135 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.136 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.136 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.138 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.138 * [backup-simplify]: Simplify 0 into 0 6.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.140 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.140 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.142 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.145 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.145 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.145 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 6.145 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 6.145 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 6.145 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 6.145 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.145 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.145 * [taylor]: Taking taylor expansion of N in N 6.145 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify 1 into 1 6.145 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 6.145 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 6.145 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.145 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.145 * [taylor]: Taking taylor expansion of N in N 6.145 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify 1 into 1 6.146 * [backup-simplify]: Simplify (* 1 1) into 1 6.146 * [backup-simplify]: Simplify (* 1 1) into 1 6.146 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 6.146 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.147 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 6.147 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.149 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.151 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.151 * [backup-simplify]: Simplify 0 into 0 6.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.153 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.153 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.166 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.166 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.171 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.171 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 6.172 * [backup-simplify]: Simplify (cbrt (- 1.0 (/ 0.5 N))) into (pow (- 1.0 (* 0.5 (/ 1 N))) 1/3) 6.172 * [approximate]: Taking taylor expansion of (pow (- 1.0 (* 0.5 (/ 1 N))) 1/3) in (N) around 0 6.172 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* 0.5 (/ 1 N))) 1/3) in N 6.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (* 0.5 (/ 1 N)))))) in N 6.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (* 0.5 (/ 1 N))))) in N 6.172 * [taylor]: Taking taylor expansion of 1/3 in N 6.172 * [backup-simplify]: Simplify 1/3 into 1/3 6.172 * [taylor]: Taking taylor expansion of (log (- 1.0 (* 0.5 (/ 1 N)))) in N 6.172 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 6.172 * [taylor]: Taking taylor expansion of 1.0 in N 6.172 * [backup-simplify]: Simplify 1.0 into 1.0 6.172 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.172 * [taylor]: Taking taylor expansion of 0.5 in N 6.172 * [backup-simplify]: Simplify 0.5 into 0.5 6.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.172 * [taylor]: Taking taylor expansion of N in N 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 1 into 1 6.173 * [backup-simplify]: Simplify (/ 1 1) into 1 6.173 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.173 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.174 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.175 * [backup-simplify]: Simplify (log (- 0.5)) into (log (- 0.5)) 6.177 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (- 0.5))) into (- (log (- 0.5)) (log N)) 6.178 * [backup-simplify]: Simplify (* 1/3 (- (log (- 0.5)) (log N))) into (* 1/3 (- (log (- 0.5)) (log N))) 6.179 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- 0.5)) (log N)))) into (exp (* 1/3 (- (log (- 0.5)) (log N)))) 6.179 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* 0.5 (/ 1 N))) 1/3) in N 6.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (* 0.5 (/ 1 N)))))) in N 6.179 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (* 0.5 (/ 1 N))))) in N 6.179 * [taylor]: Taking taylor expansion of 1/3 in N 6.179 * [backup-simplify]: Simplify 1/3 into 1/3 6.179 * [taylor]: Taking taylor expansion of (log (- 1.0 (* 0.5 (/ 1 N)))) in N 6.179 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 6.179 * [taylor]: Taking taylor expansion of 1.0 in N 6.179 * [backup-simplify]: Simplify 1.0 into 1.0 6.179 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.179 * [taylor]: Taking taylor expansion of 0.5 in N 6.179 * [backup-simplify]: Simplify 0.5 into 0.5 6.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.179 * [taylor]: Taking taylor expansion of N in N 6.179 * [backup-simplify]: Simplify 0 into 0 6.179 * [backup-simplify]: Simplify 1 into 1 6.180 * [backup-simplify]: Simplify (/ 1 1) into 1 6.180 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.180 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.181 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.182 * [backup-simplify]: Simplify (log (- 0.5)) into (log (- 0.5)) 6.183 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (- 0.5))) into (- (log (- 0.5)) (log N)) 6.184 * [backup-simplify]: Simplify (* 1/3 (- (log (- 0.5)) (log N))) into (* 1/3 (- (log (- 0.5)) (log N))) 6.185 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- 0.5)) (log N)))) into (exp (* 1/3 (- (log (- 0.5)) (log N)))) 6.186 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (- 0.5)) (log N)))) into (exp (* 1/3 (- (log (- 0.5)) (log N)))) 6.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.188 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.188 * [backup-simplify]: Simplify (- 0) into 0 6.189 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow (- 0.5) 1)))) 1) into -2.0 6.200 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (- 0.5))) into (- (log (- 0.5)) (log N)) 6.201 * [backup-simplify]: Simplify (+ (* 1/3 -2.0) (* 0 (- (log (- 0.5)) (log N)))) into (- 0.6666666666666666) 6.204 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- 0.5)) (log N)))) (+ (* (/ (pow (- 0.6666666666666666) 1) 1)))) into (* -0.6666666666666666 (exp (* 1/3 (- (log (- 0.5)) (log N))))) 6.204 * [backup-simplify]: Simplify (* -0.6666666666666666 (exp (* 1/3 (- (log (- 0.5)) (log N))))) into (* -0.6666666666666666 (exp (* 1/3 (- (log (- 0.5)) (log N))))) 6.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.206 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.206 * [backup-simplify]: Simplify (- 0) into 0 6.206 * [backup-simplify]: Simplify (+ 0 0) into 0 6.214 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow (- 0.5) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 0.5) 1)))) 2) into (/ -0.5 (pow -0.5 2)) 6.215 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log (- 0.5))) into (- (log (- 0.5)) (log N)) 6.217 * [backup-simplify]: Simplify (+ (* 1/3 (/ -0.5 (pow -0.5 2))) (+ (* 0 -2.0) (* 0 (- (log (- 0.5)) (log N))))) into (- (* 0.16666666666666666 (/ 1 (pow -0.5 2)))) 6.224 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (- 0.5)) (log N)))) (+ (* (/ (pow (- 0.6666666666666666) 2) 2)) (* (/ (pow (- (* 0.16666666666666666 (/ 1 (pow -0.5 2)))) 1) 1)))) into (* (- 0.2222222222222222 (* 0.16666666666666666 (/ 1 (pow -0.5 2)))) (exp (* 1/3 (- (log (- 0.5)) (log N))))) 6.227 * [backup-simplify]: Simplify (* (- 0.2222222222222222 (* 0.16666666666666666 (/ 1 (pow -0.5 2)))) (exp (* 1/3 (- (log (- 0.5)) (log N))))) into (* (- 0.2222222222222222 (* 0.16666666666666666 (/ 1 (pow -0.5 2)))) (exp (* 1/3 (- (log (- 0.5)) (log N))))) 6.230 * [backup-simplify]: Simplify (+ (* (* (- 0.2222222222222222 (* 0.16666666666666666 (/ 1 (pow -0.5 2)))) (exp (* 1/3 (- (log (- 0.5)) (log N))))) (pow N 2)) (+ (* (* -0.6666666666666666 (exp (* 1/3 (- (log (- 0.5)) (log N))))) N) (exp (* 1/3 (- (log (- 0.5)) (log N)))))) into (- (+ (* 0.2222222222222222 (* (pow N 2) (exp (* 1/3 (- (log (- 0.5)) (log N)))))) (exp (* 1/3 (- (log (- 0.5)) (log N))))) (+ (* 0.6666666666666666 (* N (exp (* 1/3 (- (log (- 0.5)) (log N)))))) (* 0.16666666666666666 (/ (* (pow N 2) (exp (* 1/3 (- (log (- 0.5)) (log N))))) (pow -0.5 2))))) 6.230 * [backup-simplify]: Simplify (cbrt (- 1.0 (/ 0.5 (/ 1 N)))) into (pow (- 1.0 (* 0.5 N)) 1/3) 6.231 * [approximate]: Taking taylor expansion of (pow (- 1.0 (* 0.5 N)) 1/3) in (N) around 0 6.231 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* 0.5 N)) 1/3) in N 6.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (* 0.5 N))))) in N 6.231 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (* 0.5 N)))) in N 6.231 * [taylor]: Taking taylor expansion of 1/3 in N 6.231 * [backup-simplify]: Simplify 1/3 into 1/3 6.231 * [taylor]: Taking taylor expansion of (log (- 1.0 (* 0.5 N))) in N 6.231 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.231 * [taylor]: Taking taylor expansion of 1.0 in N 6.231 * [backup-simplify]: Simplify 1.0 into 1.0 6.231 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.231 * [taylor]: Taking taylor expansion of 0.5 in N 6.231 * [backup-simplify]: Simplify 0.5 into 0.5 6.231 * [taylor]: Taking taylor expansion of N in N 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify 1 into 1 6.231 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.231 * [backup-simplify]: Simplify (- 0) into 0 6.232 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.232 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.233 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 6.234 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 6.234 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* 0.5 N)) 1/3) in N 6.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (* 0.5 N))))) in N 6.234 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (* 0.5 N)))) in N 6.234 * [taylor]: Taking taylor expansion of 1/3 in N 6.234 * [backup-simplify]: Simplify 1/3 into 1/3 6.234 * [taylor]: Taking taylor expansion of (log (- 1.0 (* 0.5 N))) in N 6.234 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.234 * [taylor]: Taking taylor expansion of 1.0 in N 6.234 * [backup-simplify]: Simplify 1.0 into 1.0 6.234 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.234 * [taylor]: Taking taylor expansion of 0.5 in N 6.234 * [backup-simplify]: Simplify 0.5 into 0.5 6.234 * [taylor]: Taking taylor expansion of N in N 6.234 * [backup-simplify]: Simplify 0 into 0 6.234 * [backup-simplify]: Simplify 1 into 1 6.235 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.235 * [backup-simplify]: Simplify (- 0) into 0 6.236 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.236 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.237 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 6.239 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 6.239 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 6.241 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.241 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.242 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.251 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 1.0 1)))) 1) into -0.5 6.252 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (* 0 (log 1.0))) into (- 0.16666666666666666) 6.259 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (pow 1.0 1/3)) 6.260 * [backup-simplify]: Simplify (* -0.16666666666666666 (pow 1.0 1/3)) into (* -0.16666666666666666 (pow 1.0 1/3)) 6.261 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.261 * [backup-simplify]: Simplify (- 0) into 0 6.261 * [backup-simplify]: Simplify (+ 0 0) into 0 6.276 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -0.125 (pow 1.0 2)) 6.281 * [backup-simplify]: Simplify (+ (* 1/3 (/ -0.125 (pow 1.0 2))) (+ (* 0 -0.5) (* 0 (log 1.0)))) into (- (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 6.301 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) 6.303 * [backup-simplify]: Simplify (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) into (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) 6.308 * [backup-simplify]: Simplify (+ (* (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) (pow (/ 1 N) 2)) (+ (* (* -0.16666666666666666 (pow 1.0 1/3)) (/ 1 N)) (pow 1.0 1/3))) into (- (+ (pow 1.0 1/3) (* 0.013888888888888888 (* (/ 1 (pow N 2)) (pow 1.0 1/3)))) (+ (* 0.041666666666666664 (* (/ 1 (pow N 2)) (pow (/ 1 (pow 1.0 5)) 1/3))) (* 0.16666666666666666 (* (/ 1 N) (pow 1.0 1/3))))) 6.308 * [backup-simplify]: Simplify (cbrt (- 1.0 (/ 0.5 (/ 1 (- N))))) into (pow (+ (* 0.5 N) 1.0) 1/3) 6.308 * [approximate]: Taking taylor expansion of (pow (+ (* 0.5 N) 1.0) 1/3) in (N) around 0 6.308 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 N) 1.0) 1/3) in N 6.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 N) 1.0)))) in N 6.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 N) 1.0))) in N 6.308 * [taylor]: Taking taylor expansion of 1/3 in N 6.308 * [backup-simplify]: Simplify 1/3 into 1/3 6.308 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 N) 1.0)) in N 6.308 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.308 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.308 * [taylor]: Taking taylor expansion of 0.5 in N 6.308 * [backup-simplify]: Simplify 0.5 into 0.5 6.308 * [taylor]: Taking taylor expansion of N in N 6.308 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify 1 into 1 6.308 * [taylor]: Taking taylor expansion of 1.0 in N 6.308 * [backup-simplify]: Simplify 1.0 into 1.0 6.308 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.309 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.309 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.310 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 6.310 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 6.311 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 N) 1.0) 1/3) in N 6.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 N) 1.0)))) in N 6.311 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 N) 1.0))) in N 6.311 * [taylor]: Taking taylor expansion of 1/3 in N 6.311 * [backup-simplify]: Simplify 1/3 into 1/3 6.311 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 N) 1.0)) in N 6.311 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.311 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.311 * [taylor]: Taking taylor expansion of 0.5 in N 6.311 * [backup-simplify]: Simplify 0.5 into 0.5 6.311 * [taylor]: Taking taylor expansion of N in N 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 1 into 1 6.311 * [taylor]: Taking taylor expansion of 1.0 in N 6.311 * [backup-simplify]: Simplify 1.0 into 1.0 6.311 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.311 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.312 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 6.312 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 6.313 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 6.314 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 6.315 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.315 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1.0 1)))) 1) into 0.5 6.320 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (* 0 (log 1.0))) into 0.16666666666666666 6.324 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (pow 1.0 1/3)) 6.324 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow 1.0 1/3)) into (* 0.16666666666666666 (pow 1.0 1/3)) 6.325 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.325 * [backup-simplify]: Simplify (+ 0 0) into 0 6.338 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -0.125 (pow 1.0 2)) 6.344 * [backup-simplify]: Simplify (+ (* 1/3 (/ -0.125 (pow 1.0 2))) (+ (* 0 0.5) (* 0 (log 1.0)))) into (- (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 6.358 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) 6.361 * [backup-simplify]: Simplify (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) into (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) 6.365 * [backup-simplify]: Simplify (+ (* (* (- 0.013888888888888888 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) (pow 1.0 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* 0.16666666666666666 (pow 1.0 1/3)) (/ 1 (- N))) (pow 1.0 1/3))) into (- (+ (pow 1.0 1/3) (* 0.013888888888888888 (* (/ 1 (pow N 2)) (pow 1.0 1/3)))) (+ (* 0.041666666666666664 (* (/ 1 (pow N 2)) (pow (/ 1 (pow 1.0 5)) 1/3))) (* 0.16666666666666666 (* (/ 1 N) (pow 1.0 1/3))))) 6.365 * * * [progress]: simplifying candidates 6.368 * [simplify]: Simplifying: (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ N (cbrt (- 1.0 (/ 0.5 N))))))) (log (+ (/ 0.3333333333333333 (pow N 3)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ N (cbrt (- 1.0 (/ 0.5 N))))))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ N (cbrt (- 1.0 (/ 0.5 N))))))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ N (cbrt (- 1.0 (/ 0.5 N))))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ N (cbrt (- 1.0 (/ 0.5 N)))))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ N (cbrt (- 1.0 (/ 0.5 N))))))) (* (* (+ (/ 0.3333333333333333 (pow N 3)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ N (cbrt (- 1.0 (/ 0.5 N)))))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ N (cbrt (- 1.0 (/ 0.5 N))))))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ N (cbrt (- 1.0 (/ 0.5 N))))))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ N (cbrt (- 1.0 (/ 0.5 N))))))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ N (cbrt (- 1.0 (/ 0.5 N))))))) (+ (* 0.3333333333333333 (/ N (cbrt (- 1.0 (/ 0.5 N))))) (* (pow N 3) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))))) (* (pow N 3) (/ N (cbrt (- 1.0 (/ 0.5 N))))) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ N (cbrt (- 1.0 (/ 0.5 N))))) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ N (cbrt (- 1.0 (/ 0.5 N))))) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ N (cbrt (- 1.0 (/ 0.5 N)))))) (* (/ 0.3333333333333333 (pow N 3)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ N (cbrt (- 1.0 (/ 0.5 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(- (log (- 0.5)) (log N))))) (+ (* 0.6666666666666666 (* N (exp (* 1/3 (- (log (- 0.5)) (log N)))))) (* 0.16666666666666666 (/ (* (pow N 2) (exp (* 1/3 (- (log (- 0.5)) (log N))))) (pow -0.5 2))))) (- (+ (pow 1.0 1/3) (* 0.013888888888888888 (* (/ 1 (pow N 2)) (pow 1.0 1/3)))) (+ (* 0.041666666666666664 (* (/ 1 (pow N 2)) (pow (/ 1 (pow 1.0 5)) 1/3))) (* 0.16666666666666666 (* (/ 1 N) (pow 1.0 1/3))))) (- (+ (pow 1.0 1/3) (* 0.013888888888888888 (* (/ 1 (pow N 2)) (pow 1.0 1/3)))) (+ (* 0.041666666666666664 (* (/ 1 (pow N 2)) (pow (/ 1 (pow 1.0 5)) 1/3))) (* 0.16666666666666666 (* (/ 1 N) (pow 1.0 1/3))))) 6.372 * * [simplify]: Extracting # 0 : cost 0 6.373 * * [simplify]: Extracting # 1 : cost 0 6.373 * * [simplify]: Extracting # 2 : cost 0 6.373 * * [simplify]: Extracting # 3 : cost 0 6.374 * * [simplify]: Extracting # 4 : cost 0 6.374 * * [simplify]: Extracting # 5 : cost 0 6.375 * * [simplify]: Extracting # 6 : cost 0 6.375 * * [simplify]: Extracting # 7 : cost 0 6.375 * * [simplify]: Extracting # 8 : cost 0 6.376 * * [simplify]: Extracting # 9 : cost 0 6.376 * * [simplify]: Extracting # 10 : cost 0 6.376 * * [simplify]: Extracting # 11 : cost 0 6.377 * * [simplify]: Extracting # 12 : cost 0 6.377 * * [simplify]: Extracting # 13 : cost 0 6.377 * * [simplify]: Extracting # 14 : cost 0 6.378 * * [simplify]: iteration 0 : 285 enodes (cost 3006 ) 6.459 * * [simplify]: Extracting # 0 : cost 0 6.460 * * [simplify]: Extracting # 1 : cost 0 6.461 * * [simplify]: Extracting # 2 : cost 0 6.462 * * [simplify]: Extracting # 3 : cost 0 6.463 * * [simplify]: Extracting # 4 : cost 0 6.463 * * [simplify]: iteration 1 : 619 enodes (cost 2694 ) 6.753 * * [simplify]: Extracting # 0 : cost 0 6.757 * * [simplify]: Extracting # 1 : cost 0 6.762 * * [simplify]: Extracting # 2 : cost 0 6.767 * * [simplify]: Extracting # 3 : cost 0 6.771 * * [simplify]: Extracting # 4 : cost 0 6.776 * * [simplify]: Extracting # 5 : cost 0 6.781 * * [simplify]: iteration 2 : 1973 enodes (cost 2321 ) 7.653 * * [simplify]: Extracting # 0 : cost 0 7.659 * * [simplify]: Extracting # 1 : cost 0 7.665 * * [simplify]: Extracting # 2 : cost 0 7.671 * * [simplify]: Extracting # 3 : cost 0 7.683 * * [simplify]: Extracting # 4 : cost 0 7.689 * * [simplify]: Extracting # 5 : cost 0 7.695 * * [simplify]: iteration done: 5000 enodes (cost 2194 ) 7.697 * [simplify]: Simplified to: (exp (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (pow (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))) 3) (sqrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (+ (* 0.3333333333333333 (/ N (cbrt (- 1.0 (/ 0.5 N))))) (* (pow N 3) (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1)))) (* (pow N 3) (/ N (cbrt (- 1.0 (/ 0.5 N))))) (+ (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (- (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))) (/ (- 1.0 (/ 0.5 N)) N)) (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6))) (- (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)) (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N))) (- (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))) 2/3 2 (pow (cbrt (- 1.0 (/ 0.5 N))) 6) (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1)) 2 (* 2 (log (cbrt (- 1.0 (/ 0.5 N))))) (* 2 (log (cbrt (- 1.0 (/ 0.5 N))))) (exp (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1))) (pow (cbrt (- 1.0 (/ 0.5 N))) 6) (* (cbrt (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1))) (cbrt (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1)))) (cbrt (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1))) (pow (cbrt (- 1.0 (/ 0.5 N))) 6) (fabs (cbrt (- 1.0 (/ 0.5 N)))) (fabs (cbrt (- 1.0 (/ 0.5 N)))) (* (cbrt (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (cbrt (- (pow 1.0 3) (pow (/ 0.5 N) 3)))) (* (cbrt (+ (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) (* 1.0 1.0))) (cbrt (+ (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) (* 1.0 1.0)))) (* (cbrt (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (cbrt (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))))) (* (cbrt (+ 1.0 (/ 0.5 N))) (cbrt (+ (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) (* 1.0 1.0)))) (* (cbrt (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (cbrt (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))))) (* (cbrt (+ 1.0 (/ 0.5 N))) (cbrt (+ (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) (* 1.0 1.0)))) (* (cbrt (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (cbrt (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))))) (* (cbrt (+ 1.0 (/ 0.5 N))) (cbrt (+ 1.0 (/ 0.5 N)))) (* (cbrt (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1))) (cbrt (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1)))) (* (cbrt (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (cbrt (- 1.0 (/ 0.5 N))))) (* (cbrt (sqrt (- 1.0 (/ 0.5 N)))) (cbrt (sqrt (- 1.0 (/ 0.5 N))))) (* (cbrt (sqrt (- 1.0 (/ 0.5 N)))) (cbrt (sqrt (- 1.0 (/ 0.5 N))))) 1 (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1)) 1 (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1)) (* (cbrt (+ (sqrt 1.0) (sqrt (/ 0.5 N)))) (cbrt (+ (sqrt 1.0) (sqrt (/ 0.5 N))))) (* (cbrt (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (cbrt (- (sqrt 1.0) (sqrt (/ 0.5 N))))) (* (cbrt (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N)))) (cbrt (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) (* (cbrt (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N)))) (cbrt (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) 1 (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1)) 1 (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1)) (pow (cbrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1)) (* (cbrt (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (cbrt (- 1.0 (/ 0.5 N))))) (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N))) 1 (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1)) (* (cbrt (sqrt (- 1.0 (/ 0.5 N)))) (cbrt (sqrt (- 1.0 (/ 0.5 N))))) (* (cbrt (sqrt (- 1.0 (/ 0.5 N)))) (cbrt (sqrt (- 1.0 (/ 0.5 N))))) (* (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (sqrt (- 1.0 (/ 0.5 N))))) (* (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (sqrt (- 1.0 (/ 0.5 N))))) (* (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (sqrt (- 1.0 (/ 0.5 N))))) (* (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (sqrt (- 1.0 (/ 0.5 N))))) (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N))) 2/3 2 (* (cbrt (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1))) (cbrt (- 1.0 (/ 0.5 N)))) (* (cbrt (sqrt (- 1.0 (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (+ (sqrt 1.0) (sqrt (/ 0.5 N))))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))))) (cbrt (- 1.0 (/ 0.5 N))) (* (pow (cbrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1)) (cbrt (cbrt (- 1.0 (/ 0.5 N))))) (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) 3) (cbrt (- 1.0 (/ 0.5 N))) (pow (cbrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1)) (* (cbrt (sqrt (- 1.0 (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N)))) (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1)) (* (cbrt (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N)))) (* (cbrt (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N)))) (cbrt (- 1.0 (/ 0.5 N)))) (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1)) (pow (cbrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1)) (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) 3) (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1)) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- (pow 1.0 3) (pow (/ 0.5 N) 3)))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- (pow 1.0 3) (pow (/ 0.5 N) 3)))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (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 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (log (cbrt (- 1.0 (/ 0.5 N)))) (exp (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (pow (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ 3 1))) (cbrt (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (sqrt (- 1.0 (/ 0.5 N)))) (cbrt (sqrt (- 1.0 (/ 0.5 N)))) 1 (cbrt (- 1.0 (/ 0.5 N))) (cbrt (+ (sqrt 1.0) (sqrt (/ 0.5 N)))) (cbrt (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (cbrt (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N)))) (cbrt (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N)))) 1 (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (cbrt (+ (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) (* 1.0 1.0))) (cbrt (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (cbrt (+ 1.0 (/ 0.5 N))) (* (cbrt (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (cbrt (- 1.0 (/ 0.5 N))))) (cbrt (cbrt (- 1.0 (/ 0.5 N)))) (- 1.0 (/ 0.5 N)) (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (sqrt (cbrt (- 1.0 (/ 0.5 N)))) (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N)) (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N)) (+ (- (/ 0.3333333333333333 (pow N 3)) (/ (/ 0.5 N) N)) (/ 1.0 N)) (+ (cbrt (exp (- (log 0.25) (* 2 (log N))))) (- (- (* (* 2.2222222222222223 (* N N)) (cbrt (exp (- (log 0.25) (* 2 (log N)))))) (* (* 1.3333333333333333 (cbrt (exp (- (log 0.25) (* 2 (log N)))))) N)) (/ (* (* 0.16666666666666666 (* N N)) (cbrt (exp (- (log 0.25) (* 2 (log N)))))) (pow 0.25 2)))) (- (- (* (+ (/ 0.1388888888888889 (pow N 2)) 1) (cbrt 1.0)) (* 0.16666666666666666 (/ (cbrt (/ 1 (pow 1.0 5))) (* N N)))) (* (/ 0.3333333333333333 N) (cbrt 1.0))) (- (cbrt 1.0) (* (cbrt 1.0) (+ (/ 0.3333333333333333 N) (/ 0.027777777777777776 (pow N 2))))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (* (+ (* 0.2222222222222222 (* N N)) 1) (cbrt (exp (- (log (- 0.5)) (log N))))) (+ (* (* 0.6666666666666666 N) (cbrt (exp (- (log (- 0.5)) (log N))))) (/ (* (* N N) 0.16666666666666666) (/ (pow -0.5 2) (cbrt (exp (- (log (- 0.5)) (log N)))))))) (- (* (+ (/ 0.013888888888888888 (pow N 2)) 1) (cbrt 1.0)) (+ (* 0.16666666666666666 (/ (cbrt 1.0) N)) (/ (* 0.041666666666666664 (cbrt (/ 1 (pow 1.0 5)))) (* N N)))) (- (* (+ (/ 0.013888888888888888 (pow N 2)) 1) (cbrt 1.0)) (+ (* 0.16666666666666666 (/ (cbrt 1.0) N)) (/ (* 0.041666666666666664 (cbrt (/ 1 (pow 1.0 5)))) (* N N)))) 7.698 * * * [progress]: adding candidates to table 8.174 * * [progress]: iteration 4 / 4 8.174 * * * [progress]: picking best candidate 8.190 * * * * [pick]: Picked # 8.190 * * * [progress]: localizing error 8.217 * * * [progress]: generating rewritten candidates 8.217 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 8.357 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 8.537 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 8.652 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 8.677 * * * [progress]: generating series expansions 8.677 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 8.678 * [backup-simplify]: Simplify (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) into (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) 8.678 * [approximate]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in (N) around 0 8.678 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 8.678 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 8.678 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 8.678 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.678 * [taylor]: Taking taylor expansion of 1.0 in N 8.678 * [backup-simplify]: Simplify 1.0 into 1.0 8.678 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.678 * [taylor]: Taking taylor expansion of N in N 8.678 * [backup-simplify]: Simplify 0 into 0 8.678 * [backup-simplify]: Simplify 1 into 1 8.679 * [backup-simplify]: Simplify (/ 1 1) into 1 8.679 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 8.679 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.679 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.679 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.679 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.679 * [taylor]: Taking taylor expansion of N in N 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [backup-simplify]: Simplify (* 1 1) into 1 8.680 * [backup-simplify]: Simplify (* 1 1) into 1 8.680 * [backup-simplify]: Simplify (/ 1 1) into 1 8.680 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.680 * [taylor]: Taking taylor expansion of 0.5 in N 8.680 * [backup-simplify]: Simplify 0.5 into 0.5 8.680 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.680 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.681 * [taylor]: Taking taylor expansion of N in N 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * [backup-simplify]: Simplify 1 into 1 8.681 * [backup-simplify]: Simplify (* 1 1) into 1 8.681 * [backup-simplify]: Simplify (/ 1 1) into 1 8.682 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.682 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.683 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.684 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 8.684 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 8.684 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 8.684 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 8.684 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.684 * [taylor]: Taking taylor expansion of 1.0 in N 8.684 * [backup-simplify]: Simplify 1.0 into 1.0 8.684 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.684 * [taylor]: Taking taylor expansion of N in N 8.684 * [backup-simplify]: Simplify 0 into 0 8.684 * [backup-simplify]: Simplify 1 into 1 8.684 * [backup-simplify]: Simplify (/ 1 1) into 1 8.684 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 8.684 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.684 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.684 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.684 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.684 * [taylor]: Taking taylor expansion of N in N 8.684 * [backup-simplify]: Simplify 0 into 0 8.684 * [backup-simplify]: Simplify 1 into 1 8.685 * [backup-simplify]: Simplify (* 1 1) into 1 8.685 * [backup-simplify]: Simplify (* 1 1) into 1 8.686 * [backup-simplify]: Simplify (/ 1 1) into 1 8.686 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.686 * [taylor]: Taking taylor expansion of 0.5 in N 8.686 * [backup-simplify]: Simplify 0.5 into 0.5 8.686 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.686 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.686 * [taylor]: Taking taylor expansion of N in N 8.686 * [backup-simplify]: Simplify 0 into 0 8.686 * [backup-simplify]: Simplify 1 into 1 8.686 * [backup-simplify]: Simplify (* 1 1) into 1 8.687 * [backup-simplify]: Simplify (/ 1 1) into 1 8.687 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.687 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.688 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.688 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 8.689 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 8.689 * [backup-simplify]: Simplify (- (log 0.3333333333333333) (* 3 (log N))) into (- (log 0.3333333333333333) (* 3 (log N))) 8.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.691 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 8.691 * [backup-simplify]: Simplify (+ 0 0) into 0 8.692 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.692 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.692 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 0.3333333333333333 1)))) 1) into -1.5 8.697 * [backup-simplify]: Simplify -1.5 into -1.5 8.698 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.700 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 8.700 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.702 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.702 * [backup-simplify]: Simplify (- 0) into 0 8.703 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.712 * [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))))) 8.715 * [backup-simplify]: Simplify (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2))))) into (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2))))) 8.719 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2))))) (pow N 2)) (+ (* -1.5 N) (- (log 0.3333333333333333) (* 3 (log N))))) into (- (+ (* 3.0 (pow N 2)) (log 0.3333333333333333)) (+ (* 1.5 N) (+ (* 3 (log N)) (* 0.125 (/ (pow N 2) (pow 0.3333333333333333 2)))))) 8.720 * [backup-simplify]: Simplify (log (+ (/ (- 1.0 (/ 0.5 (/ 1 N))) (/ 1 N)) (/ 0.3333333333333333 (pow (/ 1 N) 3)))) into (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) 8.720 * [approximate]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in (N) around 0 8.720 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 8.720 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 8.720 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.720 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.720 * [taylor]: Taking taylor expansion of 1.0 in N 8.720 * [backup-simplify]: Simplify 1.0 into 1.0 8.720 * [taylor]: Taking taylor expansion of N in N 8.720 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 1 into 1 8.720 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.720 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.720 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.720 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.720 * [taylor]: Taking taylor expansion of N in N 8.720 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 1 into 1 8.720 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.720 * [taylor]: Taking taylor expansion of 0.5 in N 8.720 * [backup-simplify]: Simplify 0.5 into 0.5 8.720 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.720 * [taylor]: Taking taylor expansion of N in N 8.720 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 1 into 1 8.720 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.721 * [backup-simplify]: Simplify (+ 0 0) into 0 8.721 * [backup-simplify]: Simplify (+ 0 0) into 0 8.722 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.722 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.722 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.723 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.723 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 8.723 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 8.723 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.723 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.723 * [taylor]: Taking taylor expansion of 1.0 in N 8.723 * [backup-simplify]: Simplify 1.0 into 1.0 8.723 * [taylor]: Taking taylor expansion of N in N 8.723 * [backup-simplify]: Simplify 0 into 0 8.723 * [backup-simplify]: Simplify 1 into 1 8.723 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.723 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.723 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.723 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.723 * [taylor]: Taking taylor expansion of N in N 8.723 * [backup-simplify]: Simplify 0 into 0 8.723 * [backup-simplify]: Simplify 1 into 1 8.723 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.723 * [taylor]: Taking taylor expansion of 0.5 in N 8.723 * [backup-simplify]: Simplify 0.5 into 0.5 8.723 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.723 * [taylor]: Taking taylor expansion of N in N 8.723 * [backup-simplify]: Simplify 0 into 0 8.723 * [backup-simplify]: Simplify 1 into 1 8.723 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.723 * [backup-simplify]: Simplify (+ 0 0) into 0 8.724 * [backup-simplify]: Simplify (+ 0 0) into 0 8.725 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.725 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.725 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.726 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.726 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.727 * [backup-simplify]: Simplify (+ (log 1.0) (log N)) into (+ (log 1.0) (log N)) 8.728 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.728 * [backup-simplify]: Simplify (+ 0 0) into 0 8.729 * [backup-simplify]: Simplify (* 1 1) into 1 8.729 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.729 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.730 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 1.0 1)))) 1) into -0.5 8.739 * [backup-simplify]: Simplify -0.5 into -0.5 8.741 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.741 * [backup-simplify]: Simplify (* 1 1) into 1 8.741 * [backup-simplify]: Simplify (* 1 1) into 1 8.742 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.742 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.744 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.744 * [backup-simplify]: Simplify (- 0) into 0 8.745 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.775 * [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))))) 8.780 * [backup-simplify]: Simplify (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 8.786 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) (pow (/ 1 N) 2)) (+ (* -0.5 (/ 1 N)) (+ (log 1.0) (log (/ 1 N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) (+ (log 1.0) (log (/ 1 N)))) (+ (* 0.125 (/ 1 (* (pow N 2) (pow 1.0 2)))) (* 0.5 (/ 1 N)))) 8.786 * [backup-simplify]: Simplify (log (+ (/ (- 1.0 (/ 0.5 (/ 1 (- N)))) (/ 1 (- N))) (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)))) into (log (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))) 8.786 * [approximate]: Taking taylor expansion of (log (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))) in (N) around 0 8.786 * [taylor]: Taking taylor expansion of (log (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))) in N 8.786 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 8.786 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 8.786 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.786 * [taylor]: Taking taylor expansion of 0.5 in N 8.786 * [backup-simplify]: Simplify 0.5 into 0.5 8.786 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.787 * [taylor]: Taking taylor expansion of N in N 8.787 * [backup-simplify]: Simplify 0 into 0 8.787 * [backup-simplify]: Simplify 1 into 1 8.787 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.787 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.787 * [taylor]: Taking taylor expansion of 1.0 in N 8.787 * [backup-simplify]: Simplify 1.0 into 1.0 8.787 * [taylor]: Taking taylor expansion of N in N 8.787 * [backup-simplify]: Simplify 0 into 0 8.787 * [backup-simplify]: Simplify 1 into 1 8.787 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.787 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.787 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.787 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.787 * [taylor]: Taking taylor expansion of N in N 8.787 * [backup-simplify]: Simplify 0 into 0 8.787 * [backup-simplify]: Simplify 1 into 1 8.787 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.788 * [backup-simplify]: Simplify (+ 0 0) into 0 8.788 * [backup-simplify]: Simplify (+ 0 0) into 0 8.789 * [backup-simplify]: Simplify (- 0) into 0 8.790 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.791 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.791 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.792 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.792 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.793 * [backup-simplify]: Simplify (log (- 1.0)) into (log (- 1.0)) 8.793 * [taylor]: Taking taylor expansion of (log (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))) in N 8.793 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 8.793 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 8.793 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.793 * [taylor]: Taking taylor expansion of 0.5 in N 8.793 * [backup-simplify]: Simplify 0.5 into 0.5 8.794 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.794 * [taylor]: Taking taylor expansion of N in N 8.794 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify 1 into 1 8.795 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.795 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.795 * [taylor]: Taking taylor expansion of 1.0 in N 8.795 * [backup-simplify]: Simplify 1.0 into 1.0 8.795 * [taylor]: Taking taylor expansion of N in N 8.795 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify 1 into 1 8.795 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.795 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.795 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.795 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.795 * [taylor]: Taking taylor expansion of N in N 8.795 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify 1 into 1 8.795 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.796 * [backup-simplify]: Simplify (+ 0 0) into 0 8.796 * [backup-simplify]: Simplify (+ 0 0) into 0 8.796 * [backup-simplify]: Simplify (- 0) into 0 8.798 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.798 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.799 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.799 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.800 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.800 * [backup-simplify]: Simplify (log (- 1.0)) into (log (- 1.0)) 8.802 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- 1.0))) into (+ (log (- 1.0)) (log N)) 8.802 * [backup-simplify]: Simplify (+ (log (- 1.0)) (log N)) into (+ (log (- 1.0)) (log N)) 8.803 * [backup-simplify]: Simplify (* 1 1) into 1 8.803 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.804 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.805 * [backup-simplify]: Simplify (+ 0 0) into 0 8.805 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 8.806 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.806 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow (- 1.0) 1)))) 1) into 0.5 8.813 * [backup-simplify]: Simplify 0.5 into 0.5 8.813 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.813 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.814 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.815 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.815 * [backup-simplify]: Simplify (* 1 1) into 1 8.815 * [backup-simplify]: Simplify (* 1 1) into 1 8.815 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.816 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.816 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.816 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.816 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.828 * [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))))) 8.830 * [backup-simplify]: Simplify (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2))))) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2))))) 8.833 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow -1.0 2))))) (pow (/ 1 (- N)) 2)) (+ (* 0.5 (/ 1 (- N))) (+ (log (- 1.0)) (log (/ 1 (- N)))))) into (- (+ (log (- 1.0)) (+ (* 0.3333333333333333 (/ 1 (pow N 2))) (log (/ -1 N)))) (+ (* 0.125 (/ 1 (* (pow N 2) (pow -1.0 2)))) (* 0.5 (/ 1 N)))) 8.834 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 8.834 * [backup-simplify]: Simplify (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 8.834 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 8.834 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 8.834 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 8.834 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.834 * [taylor]: Taking taylor expansion of 1.0 in N 8.834 * [backup-simplify]: Simplify 1.0 into 1.0 8.834 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.834 * [taylor]: Taking taylor expansion of N in N 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [backup-simplify]: Simplify 1 into 1 8.834 * [backup-simplify]: Simplify (/ 1 1) into 1 8.834 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 8.834 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.834 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.834 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.834 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.834 * [taylor]: Taking taylor expansion of N in N 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [backup-simplify]: Simplify 1 into 1 8.835 * [backup-simplify]: Simplify (* 1 1) into 1 8.835 * [backup-simplify]: Simplify (* 1 1) into 1 8.835 * [backup-simplify]: Simplify (/ 1 1) into 1 8.835 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.835 * [taylor]: Taking taylor expansion of 0.5 in N 8.835 * [backup-simplify]: Simplify 0.5 into 0.5 8.835 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.835 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.835 * [taylor]: Taking taylor expansion of N in N 8.835 * [backup-simplify]: Simplify 0 into 0 8.835 * [backup-simplify]: Simplify 1 into 1 8.836 * [backup-simplify]: Simplify (* 1 1) into 1 8.836 * [backup-simplify]: Simplify (/ 1 1) into 1 8.836 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 8.836 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 8.836 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.836 * [taylor]: Taking taylor expansion of 1.0 in N 8.836 * [backup-simplify]: Simplify 1.0 into 1.0 8.836 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.836 * [taylor]: Taking taylor expansion of N in N 8.836 * [backup-simplify]: Simplify 0 into 0 8.836 * [backup-simplify]: Simplify 1 into 1 8.836 * [backup-simplify]: Simplify (/ 1 1) into 1 8.836 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 8.836 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.836 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.836 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.836 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.836 * [taylor]: Taking taylor expansion of N in N 8.836 * [backup-simplify]: Simplify 0 into 0 8.836 * [backup-simplify]: Simplify 1 into 1 8.837 * [backup-simplify]: Simplify (* 1 1) into 1 8.837 * [backup-simplify]: Simplify (* 1 1) into 1 8.837 * [backup-simplify]: Simplify (/ 1 1) into 1 8.837 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.837 * [taylor]: Taking taylor expansion of 0.5 in N 8.837 * [backup-simplify]: Simplify 0.5 into 0.5 8.837 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.837 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.837 * [taylor]: Taking taylor expansion of N in N 8.837 * [backup-simplify]: Simplify 0 into 0 8.837 * [backup-simplify]: Simplify 1 into 1 8.838 * [backup-simplify]: Simplify (* 1 1) into 1 8.838 * [backup-simplify]: Simplify (/ 1 1) into 1 8.839 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.839 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.839 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.839 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.842 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 8.842 * [backup-simplify]: Simplify (+ 0 0) into 0 8.843 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.843 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.844 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.844 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.845 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.849 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 8.849 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.851 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.852 * [backup-simplify]: Simplify (- 0) into 0 8.852 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.852 * [backup-simplify]: Simplify 1.0 into 1.0 8.853 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 8.854 * [backup-simplify]: Simplify (+ (/ (- 1.0 (/ 0.5 (/ 1 N))) (/ 1 N)) (/ 0.3333333333333333 (pow (/ 1 N) 3))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 8.854 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 8.854 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 8.854 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.854 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.854 * [taylor]: Taking taylor expansion of 1.0 in N 8.854 * [backup-simplify]: Simplify 1.0 into 1.0 8.854 * [taylor]: Taking taylor expansion of N in N 8.854 * [backup-simplify]: Simplify 0 into 0 8.854 * [backup-simplify]: Simplify 1 into 1 8.854 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.854 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.854 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.854 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.854 * [taylor]: Taking taylor expansion of N in N 8.854 * [backup-simplify]: Simplify 0 into 0 8.854 * [backup-simplify]: Simplify 1 into 1 8.854 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.854 * [taylor]: Taking taylor expansion of 0.5 in N 8.854 * [backup-simplify]: Simplify 0.5 into 0.5 8.854 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.854 * [taylor]: Taking taylor expansion of N in N 8.854 * [backup-simplify]: Simplify 0 into 0 8.854 * [backup-simplify]: Simplify 1 into 1 8.854 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 8.854 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.854 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.854 * [taylor]: Taking taylor expansion of 1.0 in N 8.855 * [backup-simplify]: Simplify 1.0 into 1.0 8.855 * [taylor]: Taking taylor expansion of N in N 8.855 * [backup-simplify]: Simplify 0 into 0 8.855 * [backup-simplify]: Simplify 1 into 1 8.855 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.855 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.855 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.855 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.855 * [taylor]: Taking taylor expansion of N in N 8.855 * [backup-simplify]: Simplify 0 into 0 8.855 * [backup-simplify]: Simplify 1 into 1 8.855 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.855 * [taylor]: Taking taylor expansion of 0.5 in N 8.855 * [backup-simplify]: Simplify 0.5 into 0.5 8.855 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.855 * [taylor]: Taking taylor expansion of N in N 8.855 * [backup-simplify]: Simplify 0 into 0 8.855 * [backup-simplify]: Simplify 1 into 1 8.856 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.856 * [backup-simplify]: Simplify (+ 0 0) into 0 8.856 * [backup-simplify]: Simplify (+ 0 0) into 0 8.856 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.858 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.859 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.859 * [backup-simplify]: Simplify 1.0 into 1.0 8.859 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.860 * [backup-simplify]: Simplify (+ 0 0) into 0 8.860 * [backup-simplify]: Simplify (* 1 1) into 1 8.861 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.861 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.862 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.862 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.864 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.864 * [backup-simplify]: Simplify (* 1 1) into 1 8.864 * [backup-simplify]: Simplify (* 1 1) into 1 8.865 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.865 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.866 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.867 * [backup-simplify]: Simplify (- 0) into 0 8.867 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.867 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.868 * [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)))) 8.869 * [backup-simplify]: Simplify (+ (/ (- 1.0 (/ 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))))) 8.869 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 8.869 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 8.869 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 8.869 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.869 * [taylor]: Taking taylor expansion of 0.5 in N 8.869 * [backup-simplify]: Simplify 0.5 into 0.5 8.869 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.869 * [taylor]: Taking taylor expansion of N in N 8.869 * [backup-simplify]: Simplify 0 into 0 8.869 * [backup-simplify]: Simplify 1 into 1 8.869 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.869 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.869 * [taylor]: Taking taylor expansion of 1.0 in N 8.869 * [backup-simplify]: Simplify 1.0 into 1.0 8.869 * [taylor]: Taking taylor expansion of N in N 8.869 * [backup-simplify]: Simplify 0 into 0 8.869 * [backup-simplify]: Simplify 1 into 1 8.869 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.869 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.870 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.870 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.870 * [taylor]: Taking taylor expansion of N in N 8.870 * [backup-simplify]: Simplify 0 into 0 8.870 * [backup-simplify]: Simplify 1 into 1 8.870 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 8.870 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 8.870 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.870 * [taylor]: Taking taylor expansion of 0.5 in N 8.870 * [backup-simplify]: Simplify 0.5 into 0.5 8.870 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.870 * [taylor]: Taking taylor expansion of N in N 8.870 * [backup-simplify]: Simplify 0 into 0 8.870 * [backup-simplify]: Simplify 1 into 1 8.870 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.870 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.870 * [taylor]: Taking taylor expansion of 1.0 in N 8.870 * [backup-simplify]: Simplify 1.0 into 1.0 8.870 * [taylor]: Taking taylor expansion of N in N 8.870 * [backup-simplify]: Simplify 0 into 0 8.870 * [backup-simplify]: Simplify 1 into 1 8.870 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.870 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.870 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.870 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.870 * [taylor]: Taking taylor expansion of N in N 8.870 * [backup-simplify]: Simplify 0 into 0 8.870 * [backup-simplify]: Simplify 1 into 1 8.871 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.871 * [backup-simplify]: Simplify (+ 0 0) into 0 8.872 * [backup-simplify]: Simplify (+ 0 0) into 0 8.872 * [backup-simplify]: Simplify (- 0) into 0 8.872 * [backup-simplify]: Simplify 0 into 0 8.874 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.874 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.874 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.875 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.875 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.876 * [backup-simplify]: Simplify (* 1 1) into 1 8.876 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.877 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.878 * [backup-simplify]: Simplify (+ 0 0) into 0 8.878 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 8.878 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.879 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.880 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.881 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.881 * [backup-simplify]: Simplify (* 1 1) into 1 8.882 * [backup-simplify]: Simplify (* 1 1) into 1 8.882 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.883 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.883 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.883 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.884 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.885 * [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)))) 8.885 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.886 * [backup-simplify]: Simplify (exp (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 8.886 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 8.886 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 8.886 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 8.886 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.886 * [taylor]: Taking taylor expansion of 1.0 in N 8.886 * [backup-simplify]: Simplify 1.0 into 1.0 8.886 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.886 * [taylor]: Taking taylor expansion of N in N 8.886 * [backup-simplify]: Simplify 0 into 0 8.886 * [backup-simplify]: Simplify 1 into 1 8.887 * [backup-simplify]: Simplify (/ 1 1) into 1 8.887 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 8.887 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.887 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.887 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.887 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.887 * [taylor]: Taking taylor expansion of N in N 8.887 * [backup-simplify]: Simplify 0 into 0 8.887 * [backup-simplify]: Simplify 1 into 1 8.887 * [backup-simplify]: Simplify (* 1 1) into 1 8.887 * [backup-simplify]: Simplify (* 1 1) into 1 8.888 * [backup-simplify]: Simplify (/ 1 1) into 1 8.888 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.888 * [taylor]: Taking taylor expansion of 0.5 in N 8.888 * [backup-simplify]: Simplify 0.5 into 0.5 8.888 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.888 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.888 * [taylor]: Taking taylor expansion of N in N 8.888 * [backup-simplify]: Simplify 0 into 0 8.888 * [backup-simplify]: Simplify 1 into 1 8.888 * [backup-simplify]: Simplify (* 1 1) into 1 8.889 * [backup-simplify]: Simplify (/ 1 1) into 1 8.889 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 8.889 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 8.889 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.889 * [taylor]: Taking taylor expansion of 1.0 in N 8.889 * [backup-simplify]: Simplify 1.0 into 1.0 8.889 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.889 * [taylor]: Taking taylor expansion of N in N 8.889 * [backup-simplify]: Simplify 0 into 0 8.889 * [backup-simplify]: Simplify 1 into 1 8.889 * [backup-simplify]: Simplify (/ 1 1) into 1 8.889 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 8.889 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.889 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.889 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.889 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.889 * [taylor]: Taking taylor expansion of N in N 8.889 * [backup-simplify]: Simplify 0 into 0 8.890 * [backup-simplify]: Simplify 1 into 1 8.890 * [backup-simplify]: Simplify (* 1 1) into 1 8.890 * [backup-simplify]: Simplify (* 1 1) into 1 8.891 * [backup-simplify]: Simplify (/ 1 1) into 1 8.891 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.891 * [taylor]: Taking taylor expansion of 0.5 in N 8.891 * [backup-simplify]: Simplify 0.5 into 0.5 8.891 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.891 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.891 * [taylor]: Taking taylor expansion of N in N 8.891 * [backup-simplify]: Simplify 0 into 0 8.891 * [backup-simplify]: Simplify 1 into 1 8.891 * [backup-simplify]: Simplify (* 1 1) into 1 8.898 * [backup-simplify]: Simplify (/ 1 1) into 1 8.899 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.900 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.900 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.900 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.903 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 8.903 * [backup-simplify]: Simplify (+ 0 0) into 0 8.904 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.904 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.905 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.906 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.906 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.909 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 8.910 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.912 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.912 * [backup-simplify]: Simplify (- 0) into 0 8.912 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.912 * [backup-simplify]: Simplify 1.0 into 1.0 8.913 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 8.914 * [backup-simplify]: Simplify (exp (log (+ (/ (- 1.0 (/ 0.5 (/ 1 N))) (/ 1 N)) (/ 0.3333333333333333 (pow (/ 1 N) 3))))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 8.914 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 8.914 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 8.914 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.914 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.914 * [taylor]: Taking taylor expansion of 1.0 in N 8.914 * [backup-simplify]: Simplify 1.0 into 1.0 8.914 * [taylor]: Taking taylor expansion of N in N 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [backup-simplify]: Simplify 1 into 1 8.914 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.914 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.914 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.914 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.914 * [taylor]: Taking taylor expansion of N in N 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 1 into 1 8.915 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.915 * [taylor]: Taking taylor expansion of 0.5 in N 8.915 * [backup-simplify]: Simplify 0.5 into 0.5 8.915 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.915 * [taylor]: Taking taylor expansion of N in N 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 1 into 1 8.915 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 8.915 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.915 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.915 * [taylor]: Taking taylor expansion of 1.0 in N 8.915 * [backup-simplify]: Simplify 1.0 into 1.0 8.915 * [taylor]: Taking taylor expansion of N in N 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 1 into 1 8.915 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.915 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.915 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.915 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.915 * [taylor]: Taking taylor expansion of N in N 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 1 into 1 8.915 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.915 * [taylor]: Taking taylor expansion of 0.5 in N 8.915 * [backup-simplify]: Simplify 0.5 into 0.5 8.915 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.915 * [taylor]: Taking taylor expansion of N in N 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 1 into 1 8.916 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.916 * [backup-simplify]: Simplify (+ 0 0) into 0 8.917 * [backup-simplify]: Simplify (+ 0 0) into 0 8.917 * [backup-simplify]: Simplify 0 into 0 8.918 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.919 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.919 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.919 * [backup-simplify]: Simplify 1.0 into 1.0 8.920 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.920 * [backup-simplify]: Simplify (+ 0 0) into 0 8.921 * [backup-simplify]: Simplify (* 1 1) into 1 8.921 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.921 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.922 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.923 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.924 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.924 * [backup-simplify]: Simplify (* 1 1) into 1 8.925 * [backup-simplify]: Simplify (* 1 1) into 1 8.925 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.926 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.927 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.927 * [backup-simplify]: Simplify (- 0) into 0 8.928 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.928 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.929 * [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)))) 8.929 * [backup-simplify]: Simplify (exp (log (+ (/ (- 1.0 (/ 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))))) 8.929 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 8.929 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 8.929 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 8.929 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.929 * [taylor]: Taking taylor expansion of 0.5 in N 8.929 * [backup-simplify]: Simplify 0.5 into 0.5 8.930 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.930 * [taylor]: Taking taylor expansion of N in N 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.930 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.930 * [taylor]: Taking taylor expansion of 1.0 in N 8.930 * [backup-simplify]: Simplify 1.0 into 1.0 8.930 * [taylor]: Taking taylor expansion of N in N 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.930 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.930 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.930 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.930 * [taylor]: Taking taylor expansion of N in N 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 8.930 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 8.930 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.930 * [taylor]: Taking taylor expansion of 0.5 in N 8.930 * [backup-simplify]: Simplify 0.5 into 0.5 8.930 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.930 * [taylor]: Taking taylor expansion of N in N 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.930 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.930 * [taylor]: Taking taylor expansion of 1.0 in N 8.930 * [backup-simplify]: Simplify 1.0 into 1.0 8.931 * [taylor]: Taking taylor expansion of N in N 8.931 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify 1 into 1 8.931 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.931 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.931 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.931 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.931 * [taylor]: Taking taylor expansion of N in N 8.931 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify 1 into 1 8.931 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.932 * [backup-simplify]: Simplify (+ 0 0) into 0 8.932 * [backup-simplify]: Simplify (+ 0 0) into 0 8.932 * [backup-simplify]: Simplify (- 0) into 0 8.932 * [backup-simplify]: Simplify 0 into 0 8.934 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.934 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.936 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.937 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.937 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.938 * [backup-simplify]: Simplify (* 1 1) into 1 8.938 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.939 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.940 * [backup-simplify]: Simplify (+ 0 0) into 0 8.940 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 8.941 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.941 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.942 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.944 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.944 * [backup-simplify]: Simplify (* 1 1) into 1 8.944 * [backup-simplify]: Simplify (* 1 1) into 1 8.945 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.945 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.946 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.946 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.946 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 8.948 * [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)))) 8.948 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 8.949 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 8.949 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 8.949 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 8.949 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.949 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.949 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.949 * [taylor]: Taking taylor expansion of N in N 8.949 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify 1 into 1 8.949 * [backup-simplify]: Simplify (* 1 1) into 1 8.950 * [backup-simplify]: Simplify (* 1 1) into 1 8.950 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 8.950 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 8.950 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.950 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.950 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.950 * [taylor]: Taking taylor expansion of N in N 8.950 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify 1 into 1 8.950 * [backup-simplify]: Simplify (* 1 1) into 1 8.951 * [backup-simplify]: Simplify (* 1 1) into 1 8.951 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 8.951 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 8.953 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.956 * [backup-simplify]: Simplify 0 into 0 8.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.959 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.962 * [backup-simplify]: Simplify 0 into 0 8.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.966 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.970 * [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 8.971 * [backup-simplify]: Simplify 0 into 0 8.971 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 8.971 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 8.971 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 8.971 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.971 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.971 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.971 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.971 * [taylor]: Taking taylor expansion of N in N 8.971 * [backup-simplify]: Simplify 0 into 0 8.971 * [backup-simplify]: Simplify 1 into 1 8.971 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.971 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.971 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.971 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.971 * [taylor]: Taking taylor expansion of N in N 8.971 * [backup-simplify]: Simplify 0 into 0 8.971 * [backup-simplify]: Simplify 1 into 1 8.972 * [backup-simplify]: Simplify (* 1 1) into 1 8.972 * [backup-simplify]: Simplify (* 1 1) into 1 8.973 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.973 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.975 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 8.975 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.977 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.981 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.981 * [backup-simplify]: Simplify 0 into 0 8.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.984 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.984 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.988 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.989 * [backup-simplify]: Simplify 0 into 0 8.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.993 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.993 * [backup-simplify]: Simplify 0 into 0 8.994 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 8.994 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 8.994 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 8.994 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 8.994 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 8.994 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 8.994 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.994 * [taylor]: Taking taylor expansion of N in N 8.994 * [backup-simplify]: Simplify 0 into 0 8.994 * [backup-simplify]: Simplify 1 into 1 8.994 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 8.994 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 8.994 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 8.994 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.994 * [taylor]: Taking taylor expansion of N in N 8.994 * [backup-simplify]: Simplify 0 into 0 8.994 * [backup-simplify]: Simplify 1 into 1 8.995 * [backup-simplify]: Simplify (* 1 1) into 1 8.995 * [backup-simplify]: Simplify (* 1 1) into 1 8.996 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 8.996 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 8.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.998 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 8.998 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.000 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.001 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.004 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.004 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.007 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.007 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.011 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.011 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.016 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 9.017 * * * [progress]: simplifying candidates 9.021 * [simplify]: Simplifying: (log (* (cbrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))))) (log (cbrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))))) (log (sqrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))))) (log (sqrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))))) (log 1) (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (log (/ 1 1)) (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (log (/ 1 1)) (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (log 1) (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (log (+ (* (- 1.0 (/ 0.5 N)) (pow N 3)) (* N 0.3333333333333333))) (log (* N (pow N 3))) (log (+ (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3))) (log (+ (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N)) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))))) (log (- (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N)) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))))) (log (- (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (log (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))))) (exp (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))))) (* (cbrt (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))))) (cbrt (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))))) (* (* (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))))) (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))))) (sqrt (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))))) (sqrt (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))))) (* (exp (/ (- 1.0 (/ 0.5 N)) N)) (exp (/ 0.3333333333333333 (pow N 3)))) (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (* (* (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))) (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (+ (* (- 1.0 (/ 0.5 N)) (pow N 3)) (* N 0.3333333333333333)) (* N (pow N 3)) (+ (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N)) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))))) (- (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N)) (* (/ 0.3333333333333333 (pow 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Extracting # 2 : cost 0 9.124 * * [simplify]: Extracting # 3 : cost 0 9.125 * * [simplify]: Extracting # 4 : cost 0 9.126 * * [simplify]: Extracting # 5 : cost 0 9.127 * * [simplify]: iteration 1 : 433 enodes (cost 1947 ) 9.360 * * [simplify]: Extracting # 0 : cost 0 9.368 * * [simplify]: Extracting # 1 : cost 0 9.371 * * [simplify]: Extracting # 2 : cost 0 9.374 * * [simplify]: Extracting # 3 : cost 0 9.377 * * [simplify]: Extracting # 4 : cost 0 9.380 * * [simplify]: iteration 2 : 1288 enodes (cost 1740 ) 10.016 * * [simplify]: Extracting # 0 : cost 0 10.026 * * [simplify]: Extracting # 1 : cost 0 10.038 * * [simplify]: Extracting # 2 : cost 0 10.057 * * [simplify]: Extracting # 3 : cost 0 10.069 * * [simplify]: Extracting # 4 : cost 0 10.081 * * [simplify]: iteration done: 5001 enodes (cost 1714 ) 10.083 * [simplify]: Simplified to: (* 2 (log (cbrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))))) (log (cbrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 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(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 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ (/ 0.3333333333333333 N) N) (/ (/ 0.3333333333333333 N) N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (- (+ (log 0.3333333333333333) (* N (- (* 3.0 N) 1.5))) (+ (* 3 (log N)) (* 0.125 (/ (pow N 2) (pow 0.3333333333333333 2))))) (- (log 1.0) (- (log N) (- (* (/ 1 (* N N)) (- 0.3333333333333333 (/ 0.125 (pow 1.0 2)))) (/ 0.5 N)))) (- (+ (+ (/ (/ 0.3333333333333333 N) N) (log (- 1.0))) (log (/ -1 N))) (+ (/ 0.125 (* (pow N 2) (pow -1.0 2))) (/ 0.5 N))) (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))) (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))) (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))) (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))) (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))) (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) 10.085 * * * [progress]: adding candidates to table 10.840 * [progress]: [Phase 3 of 3] Extracting. 10.841 * * [regime]: Finding splitpoints for: (# # # # #) 10.843 * * * [regime-changes]: Trying 1 branch expressions: (N) 10.843 * * * * [regimes]: Trying to branch on N from (# # # # #) 10.877 * * * [regime]: Found split indices: #