23.569 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.093 * * * [progress]: [2/2] Setting up program. 0.097 * [progress]: [Phase 2 of 3] Improving. 0.097 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.098 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.098 * * [simplify]: iteration 1: (6 enodes) 0.100 * * [simplify]: iteration 2: (9 enodes) 0.103 * * [simplify]: iteration 3: (10 enodes) 0.106 * * [simplify]: Extracting #0: cost 1 inf + 0 0.106 * * [simplify]: Extracting #1: cost 4 inf + 0 0.106 * * [simplify]: Extracting #2: cost 6 inf + 0 0.106 * * [simplify]: Extracting #3: cost 6 inf + 1 0.106 * * [simplify]: Extracting #4: cost 0 inf + 560 0.106 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.112 * * [progress]: iteration 1 / 4 0.112 * * * [progress]: picking best candidate 0.116 * * * * [pick]: Picked # 0.116 * * * [progress]: localizing error 0.160 * * * [progress]: generating rewritten candidates 0.160 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.168 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.180 * * * [progress]: generating series expansions 0.181 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.183 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.183 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.184 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.184 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [taylor]: Taking taylor expansion of 1 in N 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (+ 0 1) into 1 0.186 * [backup-simplify]: Simplify (log 1) into 0 0.186 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.186 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of 1 in N 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (+ 0 1) into 1 0.186 * [backup-simplify]: Simplify (log 1) into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.191 * [backup-simplify]: Simplify -1/2 into -1/2 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.194 * [backup-simplify]: Simplify 1/3 into 1/3 0.196 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 0.196 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.196 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.196 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [taylor]: Taking taylor expansion of 1 in N 0.196 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (+ 1 0) into 1 0.197 * [backup-simplify]: Simplify (log 1) into 0 0.197 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.197 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [taylor]: Taking taylor expansion of 1 in N 0.197 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (+ 1 0) into 1 0.198 * [backup-simplify]: Simplify (log 1) into 0 0.198 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.198 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 1) into 1 0.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.202 * [backup-simplify]: Simplify -1/2 into -1/2 0.203 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.203 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.203 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.203 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.203 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.203 * [taylor]: Taking taylor expansion of 1 in N 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (- 1) into -1 0.204 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.204 * [backup-simplify]: Simplify (log -1) into (log -1) 0.204 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.204 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.204 * [taylor]: Taking taylor expansion of 1 in N 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify (- 1) into -1 0.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.205 * [backup-simplify]: Simplify (log -1) into (log -1) 0.206 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.207 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (- 0) into 0 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.209 * [backup-simplify]: Simplify -1 into -1 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.213 * [backup-simplify]: Simplify -1/2 into -1/2 0.214 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.214 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.214 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.214 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.214 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.214 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.214 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.214 * [taylor]: Taking taylor expansion of N in N 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of 1 in N 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (+ 0 1) into 1 0.215 * [backup-simplify]: Simplify (log 1) into 0 0.215 * [taylor]: Taking taylor expansion of (log N) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (log 1) into 0 0.216 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.216 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.216 * [taylor]: Taking taylor expansion of (+ N 1) 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 * [taylor]: Taking taylor expansion of 1 in N 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (+ 0 1) into 1 0.217 * [backup-simplify]: Simplify (log 1) into 0 0.217 * [taylor]: Taking taylor expansion of (log N) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (log 1) into 0 0.218 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.218 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.218 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.218 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.218 * [backup-simplify]: Simplify (+ 1 0) into 1 0.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.221 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ 1 0) into 1 0.221 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.227 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.228 * [backup-simplify]: Simplify -1/2 into -1/2 0.229 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.229 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.229 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.229 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.229 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.229 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.229 * [taylor]: Taking taylor expansion of N in N 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [taylor]: Taking taylor expansion of 1 in N 0.229 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify (log 1) into 0 0.230 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [backup-simplify]: Simplify (log 1) into 0 0.231 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.231 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.231 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [taylor]: Taking taylor expansion of 1 in N 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (+ 1 0) into 1 0.233 * [backup-simplify]: Simplify (log 1) into 0 0.233 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.233 * [taylor]: Taking taylor expansion of N in N 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [backup-simplify]: Simplify (log 1) into 0 0.234 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.235 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.235 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.235 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ 0 1) into 1 0.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ 1 0) into 1 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.249 * [backup-simplify]: Simplify -1/2 into -1/2 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [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 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.276 * [backup-simplify]: Simplify 1/3 into 1/3 0.277 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.277 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.277 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.277 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.277 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.277 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.277 * [taylor]: Taking taylor expansion of 1 in N 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.277 * [taylor]: Taking taylor expansion of N in N 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify (- 1) into -1 0.279 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.279 * [backup-simplify]: Simplify (log -1) into (log -1) 0.279 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.279 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.279 * [taylor]: Taking taylor expansion of -1 in N 0.279 * [backup-simplify]: Simplify -1 into -1 0.279 * [taylor]: Taking taylor expansion of N in N 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ -1 1) into -1 0.281 * [backup-simplify]: Simplify (log -1) into (log -1) 0.281 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.281 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.281 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.281 * [taylor]: Taking taylor expansion of 1 in N 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.281 * [taylor]: Taking taylor expansion of N in N 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [backup-simplify]: Simplify (- 1) into -1 0.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.283 * [backup-simplify]: Simplify (log -1) into (log -1) 0.283 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.283 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.283 * [taylor]: Taking taylor expansion of -1 in N 0.283 * [backup-simplify]: Simplify -1 into -1 0.283 * [taylor]: Taking taylor expansion of N in N 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ -1 1) into -1 0.284 * [backup-simplify]: Simplify (log -1) into (log -1) 0.285 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.286 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.286 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.287 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 1 0) into 1 0.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ -1 0) into -1 0.294 * [backup-simplify]: Simplify -1 into -1 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.304 * [backup-simplify]: Simplify -1/2 into -1/2 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 0.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [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 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.316 * [backup-simplify]: Simplify -1/3 into -1/3 0.317 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.317 * * * [progress]: simplifying candidates 0.317 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 16 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.317 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.317 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 27 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.318 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.318 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.319 * [simplify]: Simplifying: (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log 1) (log (+ N 1)) (log 1) (log (+ N 1)) (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1)))) (log (- (* N N) (* 1 1))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (exp (log (+ N 1))) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (/ (+ N 1) N) (log (- (log (+ N 1)) (log N))) (exp (- (log (+ N 1)) (log N))) (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) (cbrt (- (log (+ N 1)) (log N))) (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (- (pow (log (+ N 1)) 3) (pow (log N) 3)) (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))) (- (log N)) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N)) (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N))) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1)) (log (sqrt N))) (- (log (+ N 1)) (log 1)) (- (log (cbrt (+ N 1))) (log N)) (- (log (sqrt (+ N 1))) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)) (+ (log (- N 1)) (log N)) (- (log N)) (real->posit16 (- (log (+ N 1)) (log N))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.320 * * [simplify]: iteration 1: (97 enodes) 0.346 * * [simplify]: iteration 2: (194 enodes) 0.420 * * [simplify]: iteration 3: (416 enodes) 0.590 * * [simplify]: iteration 4: (1181 enodes) 1.449 * * [simplify]: Extracting #0: cost 41 inf + 0 1.450 * * [simplify]: Extracting #1: cost 292 inf + 1 1.452 * * [simplify]: Extracting #2: cost 656 inf + 365 1.457 * * [simplify]: Extracting #3: cost 473 inf + 34977 1.475 * * [simplify]: Extracting #4: cost 94 inf + 123136 1.502 * * [simplify]: Extracting #5: cost 3 inf + 152666 1.550 * * [simplify]: Extracting #6: cost 0 inf + 153606 1.579 * [simplify]: Simplified to: (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (+ 1 N)) 0 (log (+ 1 N)) (log (+ (* N (* N N)) 1)) (log (+ (- 1 N) (* N N))) (log (+ -1 (* N N))) (log (+ -1 N)) (log (+ 1 N)) (log (log (+ 1 N))) (+ 1 N) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (log (+ 1 N))) (* (* (log (+ 1 N)) (log (+ 1 N))) (log (+ 1 N))) (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N))) (real->posit16 (log (+ 1 N))) (/ (+ 1 N) N) (log (- (log (+ 1 N)) (log N))) (/ (+ 1 N) N) (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) (cbrt (- (log (+ 1 N)) (log N))) (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (- (* (* (log (+ 1 N)) (log (+ 1 N))) (log (+ 1 N))) (* (log N) (* (log N) (log N)))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (* (log (+ 1 N)) (log (+ 1 N)))) (- (log N)) (* (+ (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (+ (log (+ 1 N)) (log N)) (+ (sqrt (log (+ 1 N))) (sqrt (log N))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (+ (- 1 N) (* N N))) (log N)) (+ (log N) (log (+ -1 N))) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (+ (* (+ (* N 1/3) -1/2) (* N N)) N) (- (/ -1/2 (* N N)) (- (log (/ 1 N)) (/ 1 N))) (- (/ -1/2 (* N N)) (- (log (/ 1 N)) (/ 1 N))) (- N (+ (log N) (* 1/2 (* N N)))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))) 1.581 * * * [progress]: adding candidates to table 2.045 * * [progress]: iteration 2 / 4 2.045 * * * [progress]: picking best candidate 2.054 * * * * [pick]: Picked # 2.054 * * * [progress]: localizing error 2.073 * * * [progress]: generating rewritten candidates 2.073 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.193 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.217 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.231 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 2.260 * * * [progress]: generating series expansions 2.260 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.260 * [backup-simplify]: Simplify (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 2.260 * [approximate]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 2.260 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 2.260 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 2.260 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.260 * [taylor]: Taking taylor expansion of N in N 2.260 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify 1 into 1 2.261 * [backup-simplify]: Simplify (/ 1 1) into 1 2.261 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 2.261 * [taylor]: Taking taylor expansion of 1/3 in N 2.261 * [backup-simplify]: Simplify 1/3 into 1/3 2.261 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.261 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.261 * [taylor]: Taking taylor expansion of N in N 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.262 * [backup-simplify]: Simplify (* 1 1) into 1 2.263 * [backup-simplify]: Simplify (* 1 1) into 1 2.263 * [backup-simplify]: Simplify (/ 1 1) into 1 2.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 2.263 * [taylor]: Taking taylor expansion of 1/2 in N 2.263 * [backup-simplify]: Simplify 1/2 into 1/2 2.263 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.263 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.263 * [taylor]: Taking taylor expansion of N in N 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 1 into 1 2.264 * [backup-simplify]: Simplify (* 1 1) into 1 2.265 * [backup-simplify]: Simplify (/ 1 1) into 1 2.265 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 2.265 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 2.265 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.265 * [taylor]: Taking taylor expansion of N in N 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify (/ 1 1) into 1 2.265 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 2.265 * [taylor]: Taking taylor expansion of 1/3 in N 2.265 * [backup-simplify]: Simplify 1/3 into 1/3 2.265 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.265 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.265 * [taylor]: Taking taylor expansion of N in N 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (* 1 1) into 1 2.266 * [backup-simplify]: Simplify (* 1 1) into 1 2.267 * [backup-simplify]: Simplify (/ 1 1) into 1 2.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 2.267 * [taylor]: Taking taylor expansion of 1/2 in N 2.267 * [backup-simplify]: Simplify 1/2 into 1/2 2.267 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.267 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.267 * [taylor]: Taking taylor expansion of N in N 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [backup-simplify]: Simplify (* 1 1) into 1 2.268 * [backup-simplify]: Simplify (/ 1 1) into 1 2.269 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.269 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.270 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.270 * [backup-simplify]: Simplify 1/3 into 1/3 2.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.273 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.273 * [backup-simplify]: Simplify (+ 0 0) into 0 2.274 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.274 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.275 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.275 * [backup-simplify]: Simplify -1/2 into -1/2 2.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.279 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.279 * [backup-simplify]: Simplify (+ 1 0) into 1 2.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.282 * [backup-simplify]: Simplify (- 0) into 0 2.285 * [backup-simplify]: Simplify (+ 1 0) into 1 2.285 * [backup-simplify]: Simplify 1 into 1 2.285 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 2.286 * [backup-simplify]: Simplify (+ (+ (/ 1 (/ 1 N)) (/ -1/2 (* (/ 1 N) (/ 1 N)))) (/ 1/3 (* (/ 1 N) (* (/ 1 N) (/ 1 N))))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 2.286 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 2.286 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 2.286 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 2.286 * [taylor]: Taking taylor expansion of N in N 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.286 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.286 * [taylor]: Taking taylor expansion of 1/3 in N 2.286 * [backup-simplify]: Simplify 1/3 into 1/3 2.286 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.286 * [taylor]: Taking taylor expansion of N in N 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.286 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.286 * [taylor]: Taking taylor expansion of 1/2 in N 2.286 * [backup-simplify]: Simplify 1/2 into 1/2 2.286 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.286 * [taylor]: Taking taylor expansion of N in N 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.286 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 2.286 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 2.286 * [taylor]: Taking taylor expansion of N in N 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify 1 into 1 2.287 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.287 * [taylor]: Taking taylor expansion of 1/3 in N 2.287 * [backup-simplify]: Simplify 1/3 into 1/3 2.287 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.287 * [taylor]: Taking taylor expansion of N in N 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify 1 into 1 2.287 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.287 * [taylor]: Taking taylor expansion of 1/2 in N 2.287 * [backup-simplify]: Simplify 1/2 into 1/2 2.287 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.287 * [taylor]: Taking taylor expansion of N in N 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify 1 into 1 2.288 * [backup-simplify]: Simplify (+ 0 0) into 0 2.288 * [backup-simplify]: Simplify (+ 0 0) into 0 2.288 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify (+ 1 0) into 1 2.289 * [backup-simplify]: Simplify (+ 1 0) into 1 2.289 * [backup-simplify]: Simplify 1 into 1 2.289 * [backup-simplify]: Simplify (+ 0 0) into 0 2.290 * [backup-simplify]: Simplify (* 1 1) into 1 2.290 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.290 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.291 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.291 * [backup-simplify]: Simplify -1/2 into -1/2 2.291 * [backup-simplify]: Simplify (* 1 1) into 1 2.292 * [backup-simplify]: Simplify (* 1 1) into 1 2.292 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.292 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.294 * [backup-simplify]: Simplify (- 0) into 0 2.294 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.294 * [backup-simplify]: Simplify 1/3 into 1/3 2.295 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.295 * [backup-simplify]: Simplify (+ (+ (/ 1 (/ 1 (- N))) (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 1/3 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))))) into (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) 2.295 * [approximate]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in (N) around 0 2.296 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 2.296 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 2.296 * [taylor]: Taking taylor expansion of N in N 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 2.296 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.296 * [taylor]: Taking taylor expansion of 1/2 in N 2.296 * [backup-simplify]: Simplify 1/2 into 1/2 2.296 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.296 * [taylor]: Taking taylor expansion of N in N 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.296 * [taylor]: Taking taylor expansion of 1/3 in N 2.296 * [backup-simplify]: Simplify 1/3 into 1/3 2.296 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.296 * [taylor]: Taking taylor expansion of N in N 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 2.296 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 2.296 * [taylor]: Taking taylor expansion of N in N 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 2.296 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.296 * [taylor]: Taking taylor expansion of 1/2 in N 2.296 * [backup-simplify]: Simplify 1/2 into 1/2 2.296 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.296 * [taylor]: Taking taylor expansion of N in N 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.296 * [taylor]: Taking taylor expansion of 1/3 in N 2.296 * [backup-simplify]: Simplify 1/3 into 1/3 2.296 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.296 * [taylor]: Taking taylor expansion of N in N 2.296 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 1 into 1 2.297 * [backup-simplify]: Simplify (+ 0 0) into 0 2.298 * [backup-simplify]: Simplify (- 0) into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify (+ 1 0) into 1 2.298 * [backup-simplify]: Simplify (- 1) into -1 2.298 * [backup-simplify]: Simplify -1 into -1 2.299 * [backup-simplify]: Simplify (* 1 1) into 1 2.299 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.300 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.300 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.300 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.301 * [backup-simplify]: Simplify -1/2 into -1/2 2.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.303 * [backup-simplify]: Simplify (* 1 1) into 1 2.303 * [backup-simplify]: Simplify (* 1 1) into 1 2.304 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.304 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.305 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.305 * [backup-simplify]: Simplify (- 1/3) into -1/3 2.305 * [backup-simplify]: Simplify -1/3 into -1/3 2.306 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.306 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.306 * [backup-simplify]: Simplify (/ 1/3 (* N (* N N))) into (/ 1/3 (pow N 3)) 2.306 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 2.306 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 2.306 * [taylor]: Taking taylor expansion of 1/3 in N 2.306 * [backup-simplify]: Simplify 1/3 into 1/3 2.306 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.306 * [taylor]: Taking taylor expansion of N in N 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [backup-simplify]: Simplify (* 1 1) into 1 2.307 * [backup-simplify]: Simplify (* 1 1) into 1 2.307 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.307 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 2.307 * [taylor]: Taking taylor expansion of 1/3 in N 2.307 * [backup-simplify]: Simplify 1/3 into 1/3 2.307 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.307 * [taylor]: Taking taylor expansion of N in N 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 1 into 1 2.308 * [backup-simplify]: Simplify (* 1 1) into 1 2.308 * [backup-simplify]: Simplify (* 1 1) into 1 2.309 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.309 * [backup-simplify]: Simplify 1/3 into 1/3 2.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 2.311 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.326 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 2.331 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 N) (* (/ 1 N) (/ 1 N)))) into (* 1/3 (pow N 3)) 2.331 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0 2.331 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.331 * [taylor]: Taking taylor expansion of 1/3 in N 2.331 * [backup-simplify]: Simplify 1/3 into 1/3 2.331 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.331 * [taylor]: Taking taylor expansion of N in N 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.331 * [taylor]: Taking taylor expansion of 1/3 in N 2.331 * [backup-simplify]: Simplify 1/3 into 1/3 2.331 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.331 * [taylor]: Taking taylor expansion of N in N 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (* 1 1) into 1 2.332 * [backup-simplify]: Simplify (* 1 1) into 1 2.332 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.332 * [backup-simplify]: Simplify 1/3 into 1/3 2.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.335 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.335 * [backup-simplify]: Simplify 0 into 0 2.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.337 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.341 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.345 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.345 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.349 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.349 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.354 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.354 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 2.354 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))) into (* -1/3 (pow N 3)) 2.354 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0 2.354 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 2.354 * [taylor]: Taking taylor expansion of -1/3 in N 2.354 * [backup-simplify]: Simplify -1/3 into -1/3 2.354 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.354 * [taylor]: Taking taylor expansion of N in N 2.354 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify 1 into 1 2.354 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 2.355 * [taylor]: Taking taylor expansion of -1/3 in N 2.355 * [backup-simplify]: Simplify -1/3 into -1/3 2.355 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.355 * [taylor]: Taking taylor expansion of N in N 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [backup-simplify]: Simplify (* 1 1) into 1 2.355 * [backup-simplify]: Simplify (* 1 1) into 1 2.356 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 2.356 * [backup-simplify]: Simplify -1/3 into -1/3 2.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.358 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 2.358 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.361 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.361 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.364 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.367 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.372 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.377 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (- N)) 3)) into (/ 1/3 (pow N 3)) 2.377 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.377 * [backup-simplify]: Simplify (/ -1/2 (* N N)) into (/ -1/2 (pow N 2)) 2.377 * [approximate]: Taking taylor expansion of (/ -1/2 (pow N 2)) in (N) around 0 2.378 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 2.378 * [taylor]: Taking taylor expansion of -1/2 in N 2.378 * [backup-simplify]: Simplify -1/2 into -1/2 2.378 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.378 * [taylor]: Taking taylor expansion of N in N 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 1 into 1 2.378 * [backup-simplify]: Simplify (* 1 1) into 1 2.379 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.379 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 2.379 * [taylor]: Taking taylor expansion of -1/2 in N 2.379 * [backup-simplify]: Simplify -1/2 into -1/2 2.379 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.379 * [taylor]: Taking taylor expansion of N in N 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify 1 into 1 2.379 * [backup-simplify]: Simplify (* 1 1) into 1 2.380 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.380 * [backup-simplify]: Simplify -1/2 into -1/2 2.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 2.381 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.384 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.386 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.388 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 2.394 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 N) (/ 1 N))) into (* -1/2 (pow N 2)) 2.394 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 2.394 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 2.394 * [taylor]: Taking taylor expansion of -1/2 in N 2.394 * [backup-simplify]: Simplify -1/2 into -1/2 2.394 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.394 * [taylor]: Taking taylor expansion of N in N 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.394 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 2.394 * [taylor]: Taking taylor expansion of -1/2 in N 2.394 * [backup-simplify]: Simplify -1/2 into -1/2 2.394 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.394 * [taylor]: Taking taylor expansion of N in N 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (* 1 1) into 1 2.395 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 2.395 * [backup-simplify]: Simplify -1/2 into -1/2 2.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.397 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 2.397 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.399 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.399 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.402 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.405 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.408 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.408 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.411 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.411 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 2.412 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/2 (pow N 2)) 2.412 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 2.412 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 2.412 * [taylor]: Taking taylor expansion of -1/2 in N 2.412 * [backup-simplify]: Simplify -1/2 into -1/2 2.412 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.412 * [taylor]: Taking taylor expansion of N in N 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 1 into 1 2.412 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 2.412 * [taylor]: Taking taylor expansion of -1/2 in N 2.412 * [backup-simplify]: Simplify -1/2 into -1/2 2.412 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.412 * [taylor]: Taking taylor expansion of N in N 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 1 into 1 2.413 * [backup-simplify]: Simplify (* 1 1) into 1 2.413 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 2.413 * [backup-simplify]: Simplify -1/2 into -1/2 2.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.414 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 2.414 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.416 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.416 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.418 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.418 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.421 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.424 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.424 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.427 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 (- N)) 2)) into (/ -1/2 (pow N 2)) 2.427 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.428 * [backup-simplify]: Simplify (* N (* N N)) into (pow N 3) 2.428 * [approximate]: Taking taylor expansion of (pow N 3) in (N) around 0 2.428 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.428 * [taylor]: Taking taylor expansion of N in N 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 1 into 1 2.428 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.428 * [taylor]: Taking taylor expansion of N in N 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 1 into 1 2.428 * [backup-simplify]: Simplify (* 1 1) into 1 2.429 * [backup-simplify]: Simplify (* 1 1) into 1 2.429 * [backup-simplify]: Simplify 1 into 1 2.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.430 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.435 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.437 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.438 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.440 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify (* 1 (pow N 3)) into (pow N 3) 2.442 * [backup-simplify]: Simplify (* (/ 1 N) (* (/ 1 N) (/ 1 N))) into (/ 1 (pow N 3)) 2.442 * [approximate]: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0 2.442 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.442 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.442 * [taylor]: Taking taylor expansion of N in N 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 1 into 1 2.442 * [backup-simplify]: Simplify (* 1 1) into 1 2.443 * [backup-simplify]: Simplify (* 1 1) into 1 2.443 * [backup-simplify]: Simplify (/ 1 1) into 1 2.443 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.443 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.443 * [taylor]: Taking taylor expansion of N in N 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 1 into 1 2.443 * [backup-simplify]: Simplify (* 1 1) into 1 2.443 * [backup-simplify]: Simplify (* 1 1) into 1 2.444 * [backup-simplify]: Simplify (/ 1 1) into 1 2.444 * [backup-simplify]: Simplify 1 into 1 2.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.445 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.448 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 N)) 3)) into (pow N 3) 2.456 * [backup-simplify]: Simplify (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))) into (/ -1 (pow N 3)) 2.456 * [approximate]: Taking taylor expansion of (/ -1 (pow N 3)) in (N) around 0 2.456 * [taylor]: Taking taylor expansion of (/ -1 (pow N 3)) in N 2.456 * [taylor]: Taking taylor expansion of -1 in N 2.456 * [backup-simplify]: Simplify -1 into -1 2.456 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.456 * [taylor]: Taking taylor expansion of N in N 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify 1 into 1 2.456 * [backup-simplify]: Simplify (* 1 1) into 1 2.456 * [backup-simplify]: Simplify (* 1 1) into 1 2.456 * [backup-simplify]: Simplify (/ -1 1) into -1 2.457 * [taylor]: Taking taylor expansion of (/ -1 (pow N 3)) in N 2.457 * [taylor]: Taking taylor expansion of -1 in N 2.457 * [backup-simplify]: Simplify -1 into -1 2.457 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.457 * [taylor]: Taking taylor expansion of N in N 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify 1 into 1 2.457 * [backup-simplify]: Simplify (* 1 1) into 1 2.457 * [backup-simplify]: Simplify (* 1 1) into 1 2.457 * [backup-simplify]: Simplify (/ -1 1) into -1 2.457 * [backup-simplify]: Simplify -1 into -1 2.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.465 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.468 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.473 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- N))) 3)) into (pow N 3) 2.473 * * * [progress]: simplifying candidates 2.473 * * * * [progress]: [ 1 / 103 ] simplifiying candidate # 2.473 * * * * [progress]: [ 2 / 103 ] simplifiying candidate # 2.473 * * * * [progress]: [ 3 / 103 ] simplifiying candidate # 2.473 * * * * [progress]: [ 4 / 103 ] simplifiying candidate # 2.473 * * * * [progress]: [ 5 / 103 ] simplifiying candidate # 2.473 * * * * [progress]: [ 6 / 103 ] simplifiying candidate # 2.473 * * * * [progress]: [ 7 / 103 ] simplifiying candidate # 2.473 * * * * [progress]: [ 8 / 103 ] simplifiying candidate # 2.473 * * * * [progress]: [ 9 / 103 ] simplifiying candidate # 2.473 * * * * [progress]: [ 10 / 103 ] simplifiying candidate # 2.474 * * * * [progress]: [ 11 / 103 ] simplifiying candidate # 2.474 * * * * [progress]: [ 12 / 103 ] simplifiying candidate # 2.474 * * * * [progress]: [ 13 / 103 ] simplifiying candidate # 2.474 * * * * [progress]: [ 14 / 103 ] simplifiying candidate # 2.474 * * * * [progress]: [ 15 / 103 ] simplifiying candidate # 2.474 * * * * [progress]: [ 16 / 103 ] simplifiying candidate # 2.474 * * * * [progress]: [ 17 / 103 ] simplifiying candidate # 2.474 * * * * [progress]: [ 18 / 103 ] simplifiying candidate # 2.474 * * * * [progress]: [ 19 / 103 ] simplifiying candidate #real (real->posit16 (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))))> 2.474 * * * * [progress]: [ 20 / 103 ] simplifiying candidate # 2.474 * * * * [progress]: [ 21 / 103 ] simplifiying candidate # 2.474 * * * * [progress]: [ 22 / 103 ] simplifiying candidate # 2.474 * * * * [progress]: [ 23 / 103 ] simplifiying candidate # 2.474 * * * * [progress]: [ 24 / 103 ] simplifiying candidate # 2.474 * * * * [progress]: [ 25 / 103 ] simplifiying candidate # 2.474 * * * * [progress]: [ 26 / 103 ] simplifiying candidate # 2.474 * * * * [progress]: [ 27 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 28 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 29 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 30 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 31 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 32 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 33 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 34 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 35 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 36 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 37 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 38 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 39 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 40 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 41 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 42 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 43 / 103 ] simplifiying candidate # 2.475 * * * * [progress]: [ 44 / 103 ] simplifiying candidate #real (real->posit16 (/ 1/3 (* N (* N N)))))))> 2.475 * * * * [progress]: [ 45 / 103 ] simplifiying candidate # 2.476 * * * * [progress]: [ 46 / 103 ] simplifiying candidate # 2.476 * * * * [progress]: [ 47 / 103 ] simplifiying candidate # 2.476 * * * * [progress]: [ 48 / 103 ] simplifiying candidate # 2.476 * * * * [progress]: [ 49 / 103 ] simplifiying candidate # 2.476 * * * * [progress]: [ 50 / 103 ] simplifiying candidate # 2.476 * * * * [progress]: [ 51 / 103 ] simplifiying candidate # 2.476 * * * * [progress]: [ 52 / 103 ] simplifiying candidate # 2.476 * * * * [progress]: [ 53 / 103 ] simplifiying candidate # 2.476 * * * * [progress]: [ 54 / 103 ] simplifiying candidate # 2.476 * * * * [progress]: [ 55 / 103 ] simplifiying candidate # 2.476 * * * * [progress]: [ 56 / 103 ] simplifiying candidate # 2.476 * * * * [progress]: [ 57 / 103 ] simplifiying candidate # 2.476 * * * * [progress]: [ 58 / 103 ] simplifiying candidate # 2.476 * * * * [progress]: [ 59 / 103 ] simplifiying candidate # 2.476 * * * * [progress]: [ 60 / 103 ] simplifiying candidate # 2.476 * * * * [progress]: [ 61 / 103 ] simplifiying candidate # 2.477 * * * * [progress]: [ 62 / 103 ] simplifiying candidate # 2.477 * * * * [progress]: [ 63 / 103 ] simplifiying candidate # 2.477 * * * * [progress]: [ 64 / 103 ] simplifiying candidate # 2.477 * * * * [progress]: [ 65 / 103 ] simplifiying candidate # 2.477 * * * * [progress]: [ 66 / 103 ] simplifiying candidate #real (real->posit16 (/ -1/2 (* N N))))) (/ 1/3 (* N (* N N)))))> 2.477 * * * * [progress]: [ 67 / 103 ] simplifiying candidate # 2.477 * * * * [progress]: [ 68 / 103 ] simplifiying candidate # 2.477 * * * * [progress]: [ 69 / 103 ] simplifiying candidate # 2.477 * * * * [progress]: [ 70 / 103 ] simplifiying candidate # 2.477 * * * * [progress]: [ 71 / 103 ] simplifiying candidate # 2.477 * * * * [progress]: [ 72 / 103 ] simplifiying candidate # 2.477 * * * * [progress]: [ 73 / 103 ] simplifiying candidate # 2.477 * * * * [progress]: [ 74 / 103 ] simplifiying candidate # 2.477 * * * * [progress]: [ 75 / 103 ] simplifiying candidate # 2.477 * * * * [progress]: [ 76 / 103 ] simplifiying candidate # 2.477 * * * * [progress]: [ 77 / 103 ] simplifiying candidate # 2.477 * * * * [progress]: [ 78 / 103 ] simplifiying candidate # 2.478 * * * * [progress]: [ 79 / 103 ] simplifiying candidate # 2.478 * * * * [progress]: [ 80 / 103 ] simplifiying candidate # 2.478 * * * * [progress]: [ 81 / 103 ] simplifiying candidate # 2.478 * * * * [progress]: [ 82 / 103 ] simplifiying candidate # 2.478 * * * * [progress]: [ 83 / 103 ] simplifiying candidate # 2.478 * * * * [progress]: [ 84 / 103 ] simplifiying candidate # 2.478 * * * * [progress]: [ 85 / 103 ] simplifiying candidate # 2.478 * * * * [progress]: [ 86 / 103 ] simplifiying candidate # 2.478 * * * * [progress]: [ 87 / 103 ] simplifiying candidate # 2.478 * * * * [progress]: [ 88 / 103 ] simplifiying candidate # 2.478 * * * * [progress]: [ 89 / 103 ] simplifiying candidate # 2.478 * * * * [progress]: [ 90 / 103 ] simplifiying candidate #real (real->posit16 (* N (* N N)))))))> 2.478 * * * * [progress]: [ 91 / 103 ] simplifiying candidate # 2.478 * * * * [progress]: [ 92 / 103 ] simplifiying candidate # 2.478 * * * * [progress]: [ 93 / 103 ] simplifiying candidate # 2.478 * * * * [progress]: [ 94 / 103 ] simplifiying candidate # 2.478 * * * * [progress]: [ 95 / 103 ] simplifiying candidate # 2.479 * * * * [progress]: [ 96 / 103 ] simplifiying candidate # 2.479 * * * * [progress]: [ 97 / 103 ] simplifiying candidate # 2.479 * * * * [progress]: [ 98 / 103 ] simplifiying candidate # 2.479 * * * * [progress]: [ 99 / 103 ] simplifiying candidate # 2.479 * * * * [progress]: [ 100 / 103 ] simplifiying candidate # 2.479 * * * * [progress]: [ 101 / 103 ] simplifiying candidate # 2.479 * * * * [progress]: [ 102 / 103 ] simplifiying candidate # 2.479 * * * * [progress]: [ 103 / 103 ] simplifiying candidate # 2.480 * [simplify]: Simplifying: (* (* (exp (/ 1 N)) (exp (/ -1/2 (* N N)))) (exp (/ 1/3 (* N (* N N))))) (* (exp (+ (/ 1 N) (/ -1/2 (* N N)))) (exp (/ 1/3 (* N (* N N))))) (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (exp (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (* (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (* (* (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (sqrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (sqrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (+ (* (+ (* 1 (* N N)) (* N -1/2)) (* N (* N N))) (* (* N (* N N)) 1/3)) (* (* N (* N N)) (* N (* N N))) (+ (* (+ (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) (* N (* N N))) (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) 1/3)) (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) (* N (* N N))) (+ (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (* N (* N N))) (* (- (/ 1 N) (/ -1/2 (* N N))) 1/3)) (* (- (/ 1 N) (/ -1/2 (* N N))) (* N (* N N))) (+ (pow (+ (/ 1 N) (/ -1/2 (* N N))) 3) (pow (/ 1/3 (* N (* N N))) 3)) (+ (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (- (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))) (* (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (- (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N))))) (- (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))) (+ (/ -1/2 (* N N)) (/ 1/3 (* N (* N N)))) (real->posit16 (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (- (log 1/3) (+ (log N) (+ (log N) (log N)))) (- (log 1/3) (+ (log N) (log (* N N)))) (- (log 1/3) (log (* N (* N N)))) (log (/ 1/3 (* N (* N N)))) (exp (/ 1/3 (* N (* N N)))) (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N)))) (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) N) (* (* (* N N) (* N N)) (* N N)))) (/ (* (* 1/3 1/3) 1/3) (* (* (* N (* N N)) (* N (* N N))) (* N (* N N)))) (* (cbrt (/ 1/3 (* N (* N N)))) (cbrt (/ 1/3 (* N (* N N))))) (cbrt (/ 1/3 (* N (* N N)))) (* (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))) (/ 1/3 (* N (* N N)))) (sqrt (/ 1/3 (* N (* N N)))) (sqrt (/ 1/3 (* N (* N N)))) (- 1/3) (- (* N (* N N))) (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ (cbrt 1/3) (* N N)) (/ (sqrt 1/3) N) (/ (sqrt 1/3) (* N N)) (/ 1 N) (/ 1/3 (* N N)) (/ 1 (* N (* N N))) (/ (* N (* N N)) 1/3) (/ 1/3 N) (/ (* N (* N N)) (cbrt 1/3)) (/ (* N (* N N)) (sqrt 1/3)) (/ (* N (* N N)) 1/3) (real->posit16 (/ 1/3 (* N (* N N)))) (- (log -1/2) (+ (log N) (log N))) (- (log -1/2) (log (* N N))) (log (/ -1/2 (* N N))) (exp (/ -1/2 (* N N))) (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) N) (* (* N N) N))) (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ -1/2 (* N N))) (cbrt (/ -1/2 (* N N)))) (cbrt (/ -1/2 (* N N))) (* (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ -1/2 (* N N))) (sqrt (/ -1/2 (* N N))) (sqrt (/ -1/2 (* N N))) (- -1/2) (- (* N N)) (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N) (/ (sqrt -1/2) N) (/ (sqrt -1/2) N) (/ 1 N) (/ -1/2 N) (/ 1 (* N N)) (/ (* N N) -1/2) (/ -1/2 N) (/ (* N N) (cbrt -1/2)) (/ (* N N) (sqrt -1/2)) (/ (* N N) -1/2) (real->posit16 (/ -1/2 (* N N))) (+ 1 (+ 1 1)) (+ 1 2) (+ 1 (+ 1 1)) (+ 1 (* 2 1)) (* N (* N N)) (* N (* N N)) (+ (log N) (+ (log N) (log N))) (+ (log N) (log (* N N))) (log (* N (* N N))) (exp (* N (* N N))) (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N))) (* (* (* N N) N) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (* N (* N N))) (cbrt (* N (* N N)))) (cbrt (* N (* N N))) (* (* (* N (* N N)) (* N (* N N))) (* N (* N N))) (sqrt (* N (* N N))) (sqrt (* N (* N N))) (* (sqrt N) N) (* (sqrt N) N) (* N N) (* (cbrt N) (* N N)) (* (sqrt N) (* N N)) (* N (* N N)) (real->posit16 (* N (* N N))) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (/ -1/2 (pow N 2)) (/ -1/2 (pow N 2)) (/ -1/2 (pow N 2)) (pow N 3) (pow N 3) (pow N 3) 2.483 * * [simplify]: iteration 1: (161 enodes) 2.543 * * [simplify]: iteration 2: (416 enodes) 2.784 * * [simplify]: iteration 3: (1481 enodes) 7.107 * * [simplify]: Extracting #0: cost 70 inf + 0 7.108 * * [simplify]: Extracting #1: cost 763 inf + 4 7.117 * * [simplify]: Extracting #2: cost 2095 inf + 18800 7.201 * * [simplify]: Extracting #3: cost 1318 inf + 257237 7.373 * * [simplify]: Extracting #4: cost 201 inf + 610897 7.571 * * [simplify]: Extracting #5: cost 12 inf + 681438 7.766 * * [simplify]: Extracting #6: cost 0 inf + 686471 7.952 * [simplify]: Simplified to: (exp (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (exp (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (log (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N)))) (exp (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (* (cbrt (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N)))) (cbrt (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N)))) (* (* (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N))) (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N)))) (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N)))) (sqrt (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N)))) (sqrt (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N)))) (* (* N N) (+ (* (* N N) (+ N -1/2)) (* N 1/3))) (* (* N N) (* (* N N) (* N N))) (+ (* (+ (/ (/ 1/2 (* N N)) N) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))) 1/3) (+ (* (* (/ 1 N) (/ 1 N)) 1/3) (+ (* (* N (* N N)) (- (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))))) 1))) (* (* N N) (* (+ (* (/ (/ -1/2 N) N) (- (/ (/ -1/2 N) N) (/ 1 N))) (* (/ 1 N) (/ 1 N))) N)) (+ (* (* N (* N N)) (- (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N))))) (* 1/3 (+ (/ 1 N) (/ 1/2 (* N N))))) (* (* N (* N N)) (+ (/ 1 N) (/ 1/2 (* N N)))) (+ (* (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (- (/ 1 N) (/ 1/2 (* N N)))) (/ (/ (/ 1/27 N) (* (* N N) (* N N))) (* (* N N) (* N N)))) (+ (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N))))) (- (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)))) (- (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N))) (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N))) (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N))) (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N))) (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (real->posit16 (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N)))) (log (/ (/ 1/3 N) (* N N))) (log (/ (/ 1/3 N) (* N N))) (log (/ (/ 1/3 N) (* N N))) (log (/ (/ 1/3 N) (* N N))) (exp (/ (/ 1/3 N) (* N N))) (/ (/ (/ 1/27 N) (* (* N N) (* N N))) (* (* N N) (* N N))) (/ (/ (/ 1/27 N) (* (* N N) (* N N))) (* (* N N) (* N N))) (/ (/ (/ 1/27 N) (* (* N N) (* N N))) (* (* N N) (* N N))) (* (cbrt (/ (/ 1/3 N) (* N N))) (cbrt (/ (/ 1/3 N) (* N N)))) (cbrt (/ (/ 1/3 N) (* N N))) (/ (/ (/ 1/27 N) (* (* N N) (* N N))) (* (* N N) (* N N))) (sqrt (/ (/ 1/3 N) (* N N))) (sqrt (/ (/ 1/3 N) (* N N))) -1/3 (* (- N) (* N N)) (/ (cbrt 1/3) (/ N (cbrt 1/3))) (/ (cbrt 1/3) (* N N)) (/ (sqrt 1/3) N) (/ (sqrt 1/3) (* N N)) (/ 1 N) (/ 1/3 (* N N)) (/ (/ 1 N) (/ N (/ 1 N))) (/ (* N N) (/ 1/3 N)) (/ 1/3 N) (/ N (/ (cbrt 1/3) (* N N))) (* (/ N (sqrt 1/3)) (* N N)) (/ (* N N) (/ 1/3 N)) (real->posit16 (/ (/ 1/3 N) (* N N))) (log (/ (/ -1/2 N) N)) (log (/ (/ -1/2 N) N)) (log (/ (/ -1/2 N) N)) (exp (/ (/ -1/2 N) N)) (/ (/ -1/8 (* (* N N) (* N N))) (* N N)) (/ (/ -1/8 (* (* N N) (* N N))) (* N N)) (* (cbrt (/ (/ -1/2 N) N)) (cbrt (/ (/ -1/2 N) N))) (cbrt (/ (/ -1/2 N) N)) (/ (/ -1/8 (* (* N N) (* N N))) (* N N)) (sqrt (/ (/ -1/2 N) N)) (sqrt (/ (/ -1/2 N) N)) 1/2 (* (- N) N) (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N) (/ (sqrt -1/2) N) (/ (sqrt -1/2) N) (/ 1 N) (/ -1/2 N) (/ (/ 1 N) N) (* N (/ N -1/2)) (/ -1/2 N) (* (/ N (cbrt -1/2)) N) (/ (* N N) (sqrt -1/2)) (* N (/ N -1/2)) (real->posit16 (/ (/ -1/2 N) N)) 3 3 3 3 (* N (* N N)) (* N (* N N)) (* 3 (log N)) (* 3 (log N)) (* 3 (log N)) (exp (* N (* N N))) (* N (* (* (* N N) (* N N)) (* (* N N) (* N N)))) (* N (* (* (* N N) (* N N)) (* (* N N) (* N N)))) (* N N) N (* N (* (* (* N N) (* N N)) (* (* N N) (* N N)))) (sqrt (* N (* N N))) (sqrt (* N (* N N))) (* (sqrt N) N) (* (sqrt N) N) (* N N) (* (* N (cbrt N)) N) (* (* N (sqrt N)) N) (* N (* N N)) (real->posit16 (* N (* N N))) (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N))) (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N))) (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)) (/ (/ -1/2 N) N) (/ (/ -1/2 N) N) (/ (/ -1/2 N) N) (* N (* N N)) (* N (* N N)) (* N (* N N)) 7.958 * * * [progress]: adding candidates to table 8.755 * * [progress]: iteration 3 / 4 8.755 * * * [progress]: picking best candidate 8.769 * * * * [pick]: Picked # 8.769 * * * [progress]: localizing error 8.814 * * * [progress]: generating rewritten candidates 8.814 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.880 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 8.978 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 9.042 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 9.151 * * * [progress]: generating series expansions 9.151 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 9.151 * [backup-simplify]: Simplify (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) into (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) 9.151 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in (N) around 0 9.151 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 9.151 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))))) in N 9.151 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))))) in N 9.151 * [taylor]: Taking taylor expansion of 1/3 in N 9.151 * [backup-simplify]: Simplify 1/3 into 1/3 9.151 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))) in N 9.151 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 9.151 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 9.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.151 * [taylor]: Taking taylor expansion of N in N 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify 1 into 1 9.152 * [backup-simplify]: Simplify (/ 1 1) into 1 9.152 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 9.152 * [taylor]: Taking taylor expansion of 1/3 in N 9.152 * [backup-simplify]: Simplify 1/3 into 1/3 9.152 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.153 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.153 * [taylor]: Taking taylor expansion of N in N 9.153 * [backup-simplify]: Simplify 0 into 0 9.153 * [backup-simplify]: Simplify 1 into 1 9.153 * [backup-simplify]: Simplify (* 1 1) into 1 9.153 * [backup-simplify]: Simplify (* 1 1) into 1 9.153 * [backup-simplify]: Simplify (/ 1 1) into 1 9.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 9.154 * [taylor]: Taking taylor expansion of 1/2 in N 9.154 * [backup-simplify]: Simplify 1/2 into 1/2 9.154 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.154 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.154 * [taylor]: Taking taylor expansion of N in N 9.154 * [backup-simplify]: Simplify 0 into 0 9.154 * [backup-simplify]: Simplify 1 into 1 9.154 * [backup-simplify]: Simplify (* 1 1) into 1 9.154 * [backup-simplify]: Simplify (/ 1 1) into 1 9.155 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.155 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.155 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.155 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 9.156 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 9.156 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 9.157 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 9.157 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 9.157 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))))) in N 9.157 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))))) in N 9.157 * [taylor]: Taking taylor expansion of 1/3 in N 9.157 * [backup-simplify]: Simplify 1/3 into 1/3 9.157 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))) in N 9.157 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 9.157 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 9.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.157 * [taylor]: Taking taylor expansion of N in N 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 1 into 1 9.157 * [backup-simplify]: Simplify (/ 1 1) into 1 9.157 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 9.157 * [taylor]: Taking taylor expansion of 1/3 in N 9.157 * [backup-simplify]: Simplify 1/3 into 1/3 9.157 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.157 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.157 * [taylor]: Taking taylor expansion of N in N 9.157 * [backup-simplify]: Simplify 0 into 0 9.158 * [backup-simplify]: Simplify 1 into 1 9.158 * [backup-simplify]: Simplify (* 1 1) into 1 9.158 * [backup-simplify]: Simplify (* 1 1) into 1 9.158 * [backup-simplify]: Simplify (/ 1 1) into 1 9.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 9.158 * [taylor]: Taking taylor expansion of 1/2 in N 9.158 * [backup-simplify]: Simplify 1/2 into 1/2 9.158 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.158 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.158 * [taylor]: Taking taylor expansion of N in N 9.158 * [backup-simplify]: Simplify 0 into 0 9.158 * [backup-simplify]: Simplify 1 into 1 9.159 * [backup-simplify]: Simplify (* 1 1) into 1 9.159 * [backup-simplify]: Simplify (/ 1 1) into 1 9.159 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.159 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.160 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.160 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 9.161 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 9.161 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 9.161 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 9.162 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 9.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.164 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 9.164 * [backup-simplify]: Simplify (+ 0 0) into 0 9.164 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.164 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.165 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.166 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 9.166 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 9.167 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 9.168 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 9.168 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 9.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.170 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 9.171 * [backup-simplify]: Simplify (+ 1 0) into 1 9.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.175 * [backup-simplify]: Simplify (- 0) into 0 9.175 * [backup-simplify]: Simplify (+ 1 0) into 1 9.177 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 9.177 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 9.178 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 9.179 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 9.180 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 9.181 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 9.181 * [backup-simplify]: Simplify (cbrt (+ (+ (/ 1 (/ 1 N)) (/ -1/2 (* (/ 1 N) (/ 1 N)))) (/ 1/3 (* (/ 1 N) (* (/ 1 N) (/ 1 N)))))) into (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) 9.181 * [approximate]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in (N) around 0 9.181 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 9.181 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 9.181 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 9.181 * [taylor]: Taking taylor expansion of 1/3 in N 9.181 * [backup-simplify]: Simplify 1/3 into 1/3 9.181 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 9.181 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 9.181 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 9.181 * [taylor]: Taking taylor expansion of N in N 9.181 * [backup-simplify]: Simplify 0 into 0 9.181 * [backup-simplify]: Simplify 1 into 1 9.181 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 9.181 * [taylor]: Taking taylor expansion of 1/3 in N 9.181 * [backup-simplify]: Simplify 1/3 into 1/3 9.181 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.181 * [taylor]: Taking taylor expansion of N in N 9.182 * [backup-simplify]: Simplify 0 into 0 9.182 * [backup-simplify]: Simplify 1 into 1 9.182 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.182 * [taylor]: Taking taylor expansion of 1/2 in N 9.182 * [backup-simplify]: Simplify 1/2 into 1/2 9.182 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.182 * [taylor]: Taking taylor expansion of N in N 9.182 * [backup-simplify]: Simplify 0 into 0 9.182 * [backup-simplify]: Simplify 1 into 1 9.182 * [backup-simplify]: Simplify (+ 0 0) into 0 9.182 * [backup-simplify]: Simplify (+ 0 0) into 0 9.182 * [backup-simplify]: Simplify (+ 1 0) into 1 9.183 * [backup-simplify]: Simplify (+ 1 0) into 1 9.183 * [backup-simplify]: Simplify (log 1) into 0 9.183 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.183 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 9.183 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 9.183 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 9.183 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 9.183 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 9.183 * [taylor]: Taking taylor expansion of 1/3 in N 9.183 * [backup-simplify]: Simplify 1/3 into 1/3 9.183 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 9.183 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 9.183 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 9.183 * [taylor]: Taking taylor expansion of N in N 9.183 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify 1 into 1 9.184 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 9.184 * [taylor]: Taking taylor expansion of 1/3 in N 9.184 * [backup-simplify]: Simplify 1/3 into 1/3 9.184 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.184 * [taylor]: Taking taylor expansion of N in N 9.184 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify 1 into 1 9.184 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.184 * [taylor]: Taking taylor expansion of 1/2 in N 9.184 * [backup-simplify]: Simplify 1/2 into 1/2 9.184 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.184 * [taylor]: Taking taylor expansion of N in N 9.184 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify 1 into 1 9.184 * [backup-simplify]: Simplify (+ 0 0) into 0 9.184 * [backup-simplify]: Simplify (+ 0 0) into 0 9.184 * [backup-simplify]: Simplify (+ 1 0) into 1 9.185 * [backup-simplify]: Simplify (+ 1 0) into 1 9.185 * [backup-simplify]: Simplify (log 1) into 0 9.185 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.185 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 9.185 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 9.185 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 9.186 * [backup-simplify]: Simplify (+ 0 0) into 0 9.186 * [backup-simplify]: Simplify (* 1 1) into 1 9.186 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.186 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.187 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 9.188 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.188 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 9.189 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 9.189 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 9.189 * [backup-simplify]: Simplify (* 1 1) into 1 9.189 * [backup-simplify]: Simplify (* 1 1) into 1 9.190 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.190 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.191 * [backup-simplify]: Simplify (- 0) into 0 9.191 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.193 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 9.194 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.194 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 9.195 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 9.195 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 9.195 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 9.196 * [backup-simplify]: Simplify (cbrt (+ (+ (/ 1 (/ 1 (- N))) (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 1/3 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))))) into (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) 9.196 * [approximate]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in (N) around 0 9.196 * [taylor]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in N 9.196 * [taylor]: Taking taylor expansion of (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) in N 9.196 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))))) in N 9.196 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))))) in N 9.196 * [taylor]: Taking taylor expansion of 1/3 in N 9.196 * [backup-simplify]: Simplify 1/3 into 1/3 9.196 * [taylor]: Taking taylor expansion of (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 9.196 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 9.196 * [taylor]: Taking taylor expansion of N in N 9.196 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify 1 into 1 9.197 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 9.197 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.197 * [taylor]: Taking taylor expansion of 1/2 in N 9.197 * [backup-simplify]: Simplify 1/2 into 1/2 9.197 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.197 * [taylor]: Taking taylor expansion of N in N 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify 1 into 1 9.197 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 9.197 * [taylor]: Taking taylor expansion of 1/3 in N 9.197 * [backup-simplify]: Simplify 1/3 into 1/3 9.197 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.197 * [taylor]: Taking taylor expansion of N in N 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify 1 into 1 9.197 * [backup-simplify]: Simplify (+ 0 0) into 0 9.197 * [backup-simplify]: Simplify (+ 1 0) into 1 9.198 * [backup-simplify]: Simplify (log 1) into 0 9.198 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.198 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 9.198 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 9.198 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.198 * [taylor]: Taking taylor expansion of -1 in N 9.198 * [backup-simplify]: Simplify -1 into -1 9.198 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.199 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.199 * [taylor]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in N 9.199 * [taylor]: Taking taylor expansion of (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) in N 9.199 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))))) in N 9.199 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))))) in N 9.199 * [taylor]: Taking taylor expansion of 1/3 in N 9.199 * [backup-simplify]: Simplify 1/3 into 1/3 9.199 * [taylor]: Taking taylor expansion of (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 9.199 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 9.199 * [taylor]: Taking taylor expansion of N in N 9.199 * [backup-simplify]: Simplify 0 into 0 9.199 * [backup-simplify]: Simplify 1 into 1 9.199 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 9.199 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.199 * [taylor]: Taking taylor expansion of 1/2 in N 9.199 * [backup-simplify]: Simplify 1/2 into 1/2 9.199 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.199 * [taylor]: Taking taylor expansion of N in N 9.199 * [backup-simplify]: Simplify 0 into 0 9.199 * [backup-simplify]: Simplify 1 into 1 9.199 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 9.199 * [taylor]: Taking taylor expansion of 1/3 in N 9.199 * [backup-simplify]: Simplify 1/3 into 1/3 9.199 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.199 * [taylor]: Taking taylor expansion of N in N 9.199 * [backup-simplify]: Simplify 0 into 0 9.199 * [backup-simplify]: Simplify 1 into 1 9.200 * [backup-simplify]: Simplify (+ 0 0) into 0 9.200 * [backup-simplify]: Simplify (+ 1 0) into 1 9.200 * [backup-simplify]: Simplify (log 1) into 0 9.200 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.201 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 9.201 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 9.201 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.201 * [taylor]: Taking taylor expansion of -1 in N 9.201 * [backup-simplify]: Simplify -1 into -1 9.201 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.201 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.202 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 9.202 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 9.202 * [backup-simplify]: Simplify (* 1 1) into 1 9.203 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.203 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.203 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.204 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.205 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (log N))) into 1/6 9.205 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow N 1/3)) 9.206 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (* (* 1/6 (pow N 1/3)) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 9.206 * [backup-simplify]: Simplify (* 1/6 (* (pow N 1/3) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 9.207 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.208 * [backup-simplify]: Simplify (* 1 1) into 1 9.209 * [backup-simplify]: Simplify (* 1 1) into 1 9.209 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.209 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.209 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.211 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 9.211 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.212 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (log N)))) into 5/72 9.213 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 9.213 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* (* 1/6 (pow N 1/3)) 0) (* (* 1/12 (pow N 1/3)) (cbrt -1)))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 9.214 * [backup-simplify]: Simplify (* 1/12 (* (pow N 1/3) (cbrt -1))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 9.215 * [backup-simplify]: Simplify (+ (* (* 1/12 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (/ 1 (- N))) (* (pow (/ 1 (- N)) 1/3) (cbrt -1)))) into (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) 9.215 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 9.216 * [backup-simplify]: Simplify (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) into (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) 9.216 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in (N) around 0 9.216 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 9.216 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))))) in N 9.216 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))))) in N 9.216 * [taylor]: Taking taylor expansion of 1/3 in N 9.216 * [backup-simplify]: Simplify 1/3 into 1/3 9.216 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))) in N 9.216 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 9.216 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 9.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.216 * [taylor]: Taking taylor expansion of N in N 9.216 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify 1 into 1 9.216 * [backup-simplify]: Simplify (/ 1 1) into 1 9.216 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 9.216 * [taylor]: Taking taylor expansion of 1/3 in N 9.216 * [backup-simplify]: Simplify 1/3 into 1/3 9.216 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.216 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.216 * [taylor]: Taking taylor expansion of N in N 9.216 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify 1 into 1 9.217 * [backup-simplify]: Simplify (* 1 1) into 1 9.217 * [backup-simplify]: Simplify (* 1 1) into 1 9.217 * [backup-simplify]: Simplify (/ 1 1) into 1 9.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 9.217 * [taylor]: Taking taylor expansion of 1/2 in N 9.217 * [backup-simplify]: Simplify 1/2 into 1/2 9.217 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.217 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.217 * [taylor]: Taking taylor expansion of N in N 9.217 * [backup-simplify]: Simplify 0 into 0 9.217 * [backup-simplify]: Simplify 1 into 1 9.218 * [backup-simplify]: Simplify (* 1 1) into 1 9.218 * [backup-simplify]: Simplify (/ 1 1) into 1 9.219 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.219 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.219 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.220 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 9.220 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 9.221 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 9.221 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 9.222 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 9.222 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))))) in N 9.222 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))))) in N 9.222 * [taylor]: Taking taylor expansion of 1/3 in N 9.222 * [backup-simplify]: Simplify 1/3 into 1/3 9.222 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))) in N 9.222 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 9.222 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 9.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.222 * [taylor]: Taking taylor expansion of N in N 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 1 into 1 9.223 * [backup-simplify]: Simplify (/ 1 1) into 1 9.223 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 9.223 * [taylor]: Taking taylor expansion of 1/3 in N 9.223 * [backup-simplify]: Simplify 1/3 into 1/3 9.223 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.223 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.223 * [taylor]: Taking taylor expansion of N in N 9.223 * [backup-simplify]: Simplify 0 into 0 9.223 * [backup-simplify]: Simplify 1 into 1 9.223 * [backup-simplify]: Simplify (* 1 1) into 1 9.223 * [backup-simplify]: Simplify (* 1 1) into 1 9.224 * [backup-simplify]: Simplify (/ 1 1) into 1 9.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 9.224 * [taylor]: Taking taylor expansion of 1/2 in N 9.224 * [backup-simplify]: Simplify 1/2 into 1/2 9.224 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.224 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.224 * [taylor]: Taking taylor expansion of N in N 9.224 * [backup-simplify]: Simplify 0 into 0 9.224 * [backup-simplify]: Simplify 1 into 1 9.224 * [backup-simplify]: Simplify (* 1 1) into 1 9.225 * [backup-simplify]: Simplify (/ 1 1) into 1 9.225 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.226 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.226 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.226 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 9.227 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 9.228 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 9.228 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 9.228 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 9.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.231 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 9.232 * [backup-simplify]: Simplify (+ 0 0) into 0 9.232 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.232 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.233 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 9.234 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 9.235 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 9.235 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 9.236 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 9.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.238 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 9.238 * [backup-simplify]: Simplify (+ 1 0) into 1 9.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.240 * [backup-simplify]: Simplify (- 0) into 0 9.240 * [backup-simplify]: Simplify (+ 1 0) into 1 9.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 9.243 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 9.243 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 9.245 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 9.245 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 9.246 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 9.246 * [backup-simplify]: Simplify (cbrt (+ (+ (/ 1 (/ 1 N)) (/ -1/2 (* (/ 1 N) (/ 1 N)))) (/ 1/3 (* (/ 1 N) (* (/ 1 N) (/ 1 N)))))) into (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) 9.246 * [approximate]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in (N) around 0 9.246 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 9.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 9.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 9.246 * [taylor]: Taking taylor expansion of 1/3 in N 9.246 * [backup-simplify]: Simplify 1/3 into 1/3 9.246 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 9.246 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 9.246 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 9.246 * [taylor]: Taking taylor expansion of N in N 9.246 * [backup-simplify]: Simplify 0 into 0 9.246 * [backup-simplify]: Simplify 1 into 1 9.246 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 9.246 * [taylor]: Taking taylor expansion of 1/3 in N 9.247 * [backup-simplify]: Simplify 1/3 into 1/3 9.247 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.247 * [taylor]: Taking taylor expansion of N in N 9.247 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify 1 into 1 9.247 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.247 * [taylor]: Taking taylor expansion of 1/2 in N 9.247 * [backup-simplify]: Simplify 1/2 into 1/2 9.247 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.247 * [taylor]: Taking taylor expansion of N in N 9.247 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify 1 into 1 9.247 * [backup-simplify]: Simplify (+ 0 0) into 0 9.247 * [backup-simplify]: Simplify (+ 0 0) into 0 9.247 * [backup-simplify]: Simplify (+ 1 0) into 1 9.248 * [backup-simplify]: Simplify (+ 1 0) into 1 9.248 * [backup-simplify]: Simplify (log 1) into 0 9.248 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.248 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 9.248 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 9.248 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 9.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 9.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 9.248 * [taylor]: Taking taylor expansion of 1/3 in N 9.249 * [backup-simplify]: Simplify 1/3 into 1/3 9.249 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 9.249 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 9.249 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 9.249 * [taylor]: Taking taylor expansion of N in N 9.249 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify 1 into 1 9.249 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 9.249 * [taylor]: Taking taylor expansion of 1/3 in N 9.249 * [backup-simplify]: Simplify 1/3 into 1/3 9.249 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.249 * [taylor]: Taking taylor expansion of N in N 9.249 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify 1 into 1 9.249 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.249 * [taylor]: Taking taylor expansion of 1/2 in N 9.249 * [backup-simplify]: Simplify 1/2 into 1/2 9.249 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.249 * [taylor]: Taking taylor expansion of N in N 9.249 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify 1 into 1 9.249 * [backup-simplify]: Simplify (+ 0 0) into 0 9.249 * [backup-simplify]: Simplify (+ 0 0) into 0 9.250 * [backup-simplify]: Simplify (+ 1 0) into 1 9.250 * [backup-simplify]: Simplify (+ 1 0) into 1 9.250 * [backup-simplify]: Simplify (log 1) into 0 9.251 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.251 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 9.251 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 9.251 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 9.251 * [backup-simplify]: Simplify (+ 0 0) into 0 9.251 * [backup-simplify]: Simplify (* 1 1) into 1 9.252 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.252 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.252 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 9.253 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.254 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 9.254 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 9.254 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 9.254 * [backup-simplify]: Simplify (* 1 1) into 1 9.255 * [backup-simplify]: Simplify (* 1 1) into 1 9.255 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.255 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.256 * [backup-simplify]: Simplify (- 0) into 0 9.257 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.258 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 9.259 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.259 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 9.260 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 9.260 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 9.261 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 9.261 * [backup-simplify]: Simplify (cbrt (+ (+ (/ 1 (/ 1 (- N))) (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 1/3 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))))) into (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) 9.261 * [approximate]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in (N) around 0 9.261 * [taylor]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in N 9.261 * [taylor]: Taking taylor expansion of (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) in N 9.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))))) in N 9.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))))) in N 9.262 * [taylor]: Taking taylor expansion of 1/3 in N 9.262 * [backup-simplify]: Simplify 1/3 into 1/3 9.262 * [taylor]: Taking taylor expansion of (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 9.262 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 9.262 * [taylor]: Taking taylor expansion of N in N 9.262 * [backup-simplify]: Simplify 0 into 0 9.262 * [backup-simplify]: Simplify 1 into 1 9.262 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 9.262 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.262 * [taylor]: Taking taylor expansion of 1/2 in N 9.262 * [backup-simplify]: Simplify 1/2 into 1/2 9.262 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.262 * [taylor]: Taking taylor expansion of N in N 9.262 * [backup-simplify]: Simplify 0 into 0 9.262 * [backup-simplify]: Simplify 1 into 1 9.262 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 9.262 * [taylor]: Taking taylor expansion of 1/3 in N 9.262 * [backup-simplify]: Simplify 1/3 into 1/3 9.262 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.262 * [taylor]: Taking taylor expansion of N in N 9.262 * [backup-simplify]: Simplify 0 into 0 9.262 * [backup-simplify]: Simplify 1 into 1 9.263 * [backup-simplify]: Simplify (+ 0 0) into 0 9.263 * [backup-simplify]: Simplify (+ 1 0) into 1 9.263 * [backup-simplify]: Simplify (log 1) into 0 9.264 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.264 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 9.264 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 9.264 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.264 * [taylor]: Taking taylor expansion of -1 in N 9.264 * [backup-simplify]: Simplify -1 into -1 9.264 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.265 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.265 * [taylor]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in N 9.265 * [taylor]: Taking taylor expansion of (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) in N 9.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))))) in N 9.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))))) in N 9.265 * [taylor]: Taking taylor expansion of 1/3 in N 9.265 * [backup-simplify]: Simplify 1/3 into 1/3 9.265 * [taylor]: Taking taylor expansion of (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 9.265 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 9.265 * [taylor]: Taking taylor expansion of N in N 9.265 * [backup-simplify]: Simplify 0 into 0 9.266 * [backup-simplify]: Simplify 1 into 1 9.266 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 9.266 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.266 * [taylor]: Taking taylor expansion of 1/2 in N 9.266 * [backup-simplify]: Simplify 1/2 into 1/2 9.266 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.266 * [taylor]: Taking taylor expansion of N in N 9.266 * [backup-simplify]: Simplify 0 into 0 9.266 * [backup-simplify]: Simplify 1 into 1 9.266 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 9.266 * [taylor]: Taking taylor expansion of 1/3 in N 9.266 * [backup-simplify]: Simplify 1/3 into 1/3 9.266 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.266 * [taylor]: Taking taylor expansion of N in N 9.266 * [backup-simplify]: Simplify 0 into 0 9.266 * [backup-simplify]: Simplify 1 into 1 9.266 * [backup-simplify]: Simplify (+ 0 0) into 0 9.267 * [backup-simplify]: Simplify (+ 1 0) into 1 9.267 * [backup-simplify]: Simplify (log 1) into 0 9.267 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.268 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 9.268 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 9.268 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.268 * [taylor]: Taking taylor expansion of -1 in N 9.268 * [backup-simplify]: Simplify -1 into -1 9.268 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.269 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.270 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 9.270 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 9.271 * [backup-simplify]: Simplify (* 1 1) into 1 9.271 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.272 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.272 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.274 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.274 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.274 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (log N))) into 1/6 9.281 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow N 1/3)) 9.282 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (* (* 1/6 (pow N 1/3)) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 9.282 * [backup-simplify]: Simplify (* 1/6 (* (pow N 1/3) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 9.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.286 * [backup-simplify]: Simplify (* 1 1) into 1 9.286 * [backup-simplify]: Simplify (* 1 1) into 1 9.287 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.287 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.288 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.291 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 9.291 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.292 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (log N)))) into 5/72 9.294 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 9.295 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* (* 1/6 (pow N 1/3)) 0) (* (* 1/12 (pow N 1/3)) (cbrt -1)))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 9.295 * [backup-simplify]: Simplify (* 1/12 (* (pow N 1/3) (cbrt -1))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 9.298 * [backup-simplify]: Simplify (+ (* (* 1/12 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (/ 1 (- N))) (* (pow (/ 1 (- N)) 1/3) (cbrt -1)))) into (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) 9.298 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 9.298 * [backup-simplify]: Simplify (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) into (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) 9.298 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in (N) around 0 9.298 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 9.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))))) in N 9.298 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))))) in N 9.299 * [taylor]: Taking taylor expansion of 1/3 in N 9.299 * [backup-simplify]: Simplify 1/3 into 1/3 9.299 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))) in N 9.299 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 9.299 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 9.299 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.299 * [taylor]: Taking taylor expansion of N in N 9.299 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify 1 into 1 9.299 * [backup-simplify]: Simplify (/ 1 1) into 1 9.299 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 9.299 * [taylor]: Taking taylor expansion of 1/3 in N 9.299 * [backup-simplify]: Simplify 1/3 into 1/3 9.299 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.299 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.299 * [taylor]: Taking taylor expansion of N in N 9.299 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify 1 into 1 9.300 * [backup-simplify]: Simplify (* 1 1) into 1 9.300 * [backup-simplify]: Simplify (* 1 1) into 1 9.301 * [backup-simplify]: Simplify (/ 1 1) into 1 9.301 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 9.301 * [taylor]: Taking taylor expansion of 1/2 in N 9.301 * [backup-simplify]: Simplify 1/2 into 1/2 9.301 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.301 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.301 * [taylor]: Taking taylor expansion of N in N 9.301 * [backup-simplify]: Simplify 0 into 0 9.301 * [backup-simplify]: Simplify 1 into 1 9.301 * [backup-simplify]: Simplify (* 1 1) into 1 9.302 * [backup-simplify]: Simplify (/ 1 1) into 1 9.302 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.303 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.303 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.303 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 9.304 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 9.305 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 9.305 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 9.305 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 9.305 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))))) in N 9.305 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))))) in N 9.306 * [taylor]: Taking taylor expansion of 1/3 in N 9.306 * [backup-simplify]: Simplify 1/3 into 1/3 9.306 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))) in N 9.306 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 9.306 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 9.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.306 * [taylor]: Taking taylor expansion of N in N 9.306 * [backup-simplify]: Simplify 0 into 0 9.306 * [backup-simplify]: Simplify 1 into 1 9.306 * [backup-simplify]: Simplify (/ 1 1) into 1 9.306 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 9.306 * [taylor]: Taking taylor expansion of 1/3 in N 9.306 * [backup-simplify]: Simplify 1/3 into 1/3 9.306 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.306 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.306 * [taylor]: Taking taylor expansion of N in N 9.306 * [backup-simplify]: Simplify 0 into 0 9.306 * [backup-simplify]: Simplify 1 into 1 9.307 * [backup-simplify]: Simplify (* 1 1) into 1 9.307 * [backup-simplify]: Simplify (* 1 1) into 1 9.308 * [backup-simplify]: Simplify (/ 1 1) into 1 9.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 9.308 * [taylor]: Taking taylor expansion of 1/2 in N 9.308 * [backup-simplify]: Simplify 1/2 into 1/2 9.308 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.308 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.308 * [taylor]: Taking taylor expansion of N in N 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify 1 into 1 9.308 * [backup-simplify]: Simplify (* 1 1) into 1 9.309 * [backup-simplify]: Simplify (/ 1 1) into 1 9.309 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.309 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.310 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.310 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 9.311 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 9.312 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 9.312 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 9.313 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 9.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.316 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 9.316 * [backup-simplify]: Simplify (+ 0 0) into 0 9.317 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.317 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.318 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 9.320 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 9.321 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 9.323 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 9.323 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 9.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.327 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 9.328 * [backup-simplify]: Simplify (+ 1 0) into 1 9.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.330 * [backup-simplify]: Simplify (- 0) into 0 9.331 * [backup-simplify]: Simplify (+ 1 0) into 1 9.334 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 9.335 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 9.337 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 9.339 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 9.339 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 9.341 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 9.342 * [backup-simplify]: Simplify (cbrt (+ (+ (/ 1 (/ 1 N)) (/ -1/2 (* (/ 1 N) (/ 1 N)))) (/ 1/3 (* (/ 1 N) (* (/ 1 N) (/ 1 N)))))) into (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) 9.342 * [approximate]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in (N) around 0 9.342 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 9.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 9.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 9.342 * [taylor]: Taking taylor expansion of 1/3 in N 9.342 * [backup-simplify]: Simplify 1/3 into 1/3 9.342 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 9.342 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 9.342 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 9.342 * [taylor]: Taking taylor expansion of N in N 9.342 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify 1 into 1 9.342 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 9.342 * [taylor]: Taking taylor expansion of 1/3 in N 9.342 * [backup-simplify]: Simplify 1/3 into 1/3 9.342 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.342 * [taylor]: Taking taylor expansion of N in N 9.342 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify 1 into 1 9.342 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.342 * [taylor]: Taking taylor expansion of 1/2 in N 9.342 * [backup-simplify]: Simplify 1/2 into 1/2 9.342 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.342 * [taylor]: Taking taylor expansion of N in N 9.342 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify 1 into 1 9.343 * [backup-simplify]: Simplify (+ 0 0) into 0 9.343 * [backup-simplify]: Simplify (+ 0 0) into 0 9.344 * [backup-simplify]: Simplify (+ 1 0) into 1 9.344 * [backup-simplify]: Simplify (+ 1 0) into 1 9.345 * [backup-simplify]: Simplify (log 1) into 0 9.345 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.345 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 9.345 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 9.345 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 9.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 9.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 9.345 * [taylor]: Taking taylor expansion of 1/3 in N 9.345 * [backup-simplify]: Simplify 1/3 into 1/3 9.345 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 9.345 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 9.345 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 9.345 * [taylor]: Taking taylor expansion of N in N 9.345 * [backup-simplify]: Simplify 0 into 0 9.345 * [backup-simplify]: Simplify 1 into 1 9.345 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 9.345 * [taylor]: Taking taylor expansion of 1/3 in N 9.345 * [backup-simplify]: Simplify 1/3 into 1/3 9.345 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.345 * [taylor]: Taking taylor expansion of N in N 9.345 * [backup-simplify]: Simplify 0 into 0 9.345 * [backup-simplify]: Simplify 1 into 1 9.345 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.345 * [taylor]: Taking taylor expansion of 1/2 in N 9.345 * [backup-simplify]: Simplify 1/2 into 1/2 9.345 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.345 * [taylor]: Taking taylor expansion of N in N 9.345 * [backup-simplify]: Simplify 0 into 0 9.345 * [backup-simplify]: Simplify 1 into 1 9.346 * [backup-simplify]: Simplify (+ 0 0) into 0 9.346 * [backup-simplify]: Simplify (+ 0 0) into 0 9.346 * [backup-simplify]: Simplify (+ 1 0) into 1 9.346 * [backup-simplify]: Simplify (+ 1 0) into 1 9.347 * [backup-simplify]: Simplify (log 1) into 0 9.347 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.347 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 9.347 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 9.347 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 9.347 * [backup-simplify]: Simplify (+ 0 0) into 0 9.348 * [backup-simplify]: Simplify (* 1 1) into 1 9.348 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.348 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.348 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 9.350 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.350 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 9.350 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 9.350 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 9.351 * [backup-simplify]: Simplify (* 1 1) into 1 9.351 * [backup-simplify]: Simplify (* 1 1) into 1 9.351 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.352 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.353 * [backup-simplify]: Simplify (- 0) into 0 9.353 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.355 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 9.355 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.356 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 9.356 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 9.357 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 9.357 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 9.357 * [backup-simplify]: Simplify (cbrt (+ (+ (/ 1 (/ 1 (- N))) (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 1/3 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))))) into (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) 9.357 * [approximate]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in (N) around 0 9.357 * [taylor]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in N 9.357 * [taylor]: Taking taylor expansion of (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) in N 9.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))))) in N 9.357 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))))) in N 9.357 * [taylor]: Taking taylor expansion of 1/3 in N 9.357 * [backup-simplify]: Simplify 1/3 into 1/3 9.357 * [taylor]: Taking taylor expansion of (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 9.357 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 9.357 * [taylor]: Taking taylor expansion of N in N 9.357 * [backup-simplify]: Simplify 0 into 0 9.357 * [backup-simplify]: Simplify 1 into 1 9.357 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 9.357 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.357 * [taylor]: Taking taylor expansion of 1/2 in N 9.358 * [backup-simplify]: Simplify 1/2 into 1/2 9.358 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.358 * [taylor]: Taking taylor expansion of N in N 9.358 * [backup-simplify]: Simplify 0 into 0 9.358 * [backup-simplify]: Simplify 1 into 1 9.358 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 9.358 * [taylor]: Taking taylor expansion of 1/3 in N 9.358 * [backup-simplify]: Simplify 1/3 into 1/3 9.358 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.358 * [taylor]: Taking taylor expansion of N in N 9.358 * [backup-simplify]: Simplify 0 into 0 9.358 * [backup-simplify]: Simplify 1 into 1 9.358 * [backup-simplify]: Simplify (+ 0 0) into 0 9.358 * [backup-simplify]: Simplify (+ 1 0) into 1 9.358 * [backup-simplify]: Simplify (log 1) into 0 9.359 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.359 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 9.359 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 9.359 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.359 * [taylor]: Taking taylor expansion of -1 in N 9.359 * [backup-simplify]: Simplify -1 into -1 9.359 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.360 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.360 * [taylor]: Taking taylor expansion of (* (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) (cbrt -1)) in N 9.360 * [taylor]: Taking taylor expansion of (pow (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1/3) in N 9.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))))) in N 9.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))))) in N 9.360 * [taylor]: Taking taylor expansion of 1/3 in N 9.360 * [backup-simplify]: Simplify 1/3 into 1/3 9.360 * [taylor]: Taking taylor expansion of (log (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 9.360 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 9.360 * [taylor]: Taking taylor expansion of N in N 9.360 * [backup-simplify]: Simplify 0 into 0 9.360 * [backup-simplify]: Simplify 1 into 1 9.360 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 9.360 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.360 * [taylor]: Taking taylor expansion of 1/2 in N 9.360 * [backup-simplify]: Simplify 1/2 into 1/2 9.360 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.360 * [taylor]: Taking taylor expansion of N in N 9.360 * [backup-simplify]: Simplify 0 into 0 9.360 * [backup-simplify]: Simplify 1 into 1 9.360 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 9.360 * [taylor]: Taking taylor expansion of 1/3 in N 9.360 * [backup-simplify]: Simplify 1/3 into 1/3 9.361 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.361 * [taylor]: Taking taylor expansion of N in N 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify 1 into 1 9.361 * [backup-simplify]: Simplify (+ 0 0) into 0 9.361 * [backup-simplify]: Simplify (+ 1 0) into 1 9.361 * [backup-simplify]: Simplify (log 1) into 0 9.362 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.362 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 9.362 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 9.362 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.362 * [taylor]: Taking taylor expansion of -1 in N 9.362 * [backup-simplify]: Simplify -1 into -1 9.362 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.363 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.363 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 9.363 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 9.364 * [backup-simplify]: Simplify (* 1 1) into 1 9.364 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.364 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.364 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.365 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.366 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (log N))) into 1/6 9.366 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow N 1/3)) 9.367 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (* (* 1/6 (pow N 1/3)) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 9.367 * [backup-simplify]: Simplify (* 1/6 (* (pow N 1/3) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 9.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.369 * [backup-simplify]: Simplify (* 1 1) into 1 9.370 * [backup-simplify]: Simplify (* 1 1) into 1 9.370 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.370 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.370 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.372 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 9.373 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.373 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (log N)))) into 5/72 9.374 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 9.375 * [backup-simplify]: Simplify (+ (* (pow N 1/3) 0) (+ (* (* 1/6 (pow N 1/3)) 0) (* (* 1/12 (pow N 1/3)) (cbrt -1)))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 9.375 * [backup-simplify]: Simplify (* 1/12 (* (pow N 1/3) (cbrt -1))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 9.377 * [backup-simplify]: Simplify (+ (* (* 1/12 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (/ 1 (- N))) (* (pow (/ 1 (- N)) 1/3) (cbrt -1)))) into (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) 9.377 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 9.377 * [backup-simplify]: Simplify (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 9.377 * [approximate]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 9.377 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 9.377 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 9.377 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.377 * [taylor]: Taking taylor expansion of N in N 9.377 * [backup-simplify]: Simplify 0 into 0 9.377 * [backup-simplify]: Simplify 1 into 1 9.378 * [backup-simplify]: Simplify (/ 1 1) into 1 9.378 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 9.378 * [taylor]: Taking taylor expansion of 1/3 in N 9.378 * [backup-simplify]: Simplify 1/3 into 1/3 9.378 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.378 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.378 * [taylor]: Taking taylor expansion of N in N 9.378 * [backup-simplify]: Simplify 0 into 0 9.378 * [backup-simplify]: Simplify 1 into 1 9.378 * [backup-simplify]: Simplify (* 1 1) into 1 9.379 * [backup-simplify]: Simplify (* 1 1) into 1 9.379 * [backup-simplify]: Simplify (/ 1 1) into 1 9.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 9.379 * [taylor]: Taking taylor expansion of 1/2 in N 9.379 * [backup-simplify]: Simplify 1/2 into 1/2 9.379 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.379 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.379 * [taylor]: Taking taylor expansion of N in N 9.379 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify 1 into 1 9.380 * [backup-simplify]: Simplify (* 1 1) into 1 9.380 * [backup-simplify]: Simplify (/ 1 1) into 1 9.380 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 9.380 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 9.380 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.380 * [taylor]: Taking taylor expansion of N in N 9.380 * [backup-simplify]: Simplify 0 into 0 9.380 * [backup-simplify]: Simplify 1 into 1 9.381 * [backup-simplify]: Simplify (/ 1 1) into 1 9.381 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 9.381 * [taylor]: Taking taylor expansion of 1/3 in N 9.381 * [backup-simplify]: Simplify 1/3 into 1/3 9.381 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.381 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.381 * [taylor]: Taking taylor expansion of N in N 9.381 * [backup-simplify]: Simplify 0 into 0 9.381 * [backup-simplify]: Simplify 1 into 1 9.381 * [backup-simplify]: Simplify (* 1 1) into 1 9.381 * [backup-simplify]: Simplify (* 1 1) into 1 9.382 * [backup-simplify]: Simplify (/ 1 1) into 1 9.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 9.382 * [taylor]: Taking taylor expansion of 1/2 in N 9.382 * [backup-simplify]: Simplify 1/2 into 1/2 9.382 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.382 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.382 * [taylor]: Taking taylor expansion of N in N 9.382 * [backup-simplify]: Simplify 0 into 0 9.382 * [backup-simplify]: Simplify 1 into 1 9.382 * [backup-simplify]: Simplify (* 1 1) into 1 9.383 * [backup-simplify]: Simplify (/ 1 1) into 1 9.383 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.384 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.384 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.384 * [backup-simplify]: Simplify 1/3 into 1/3 9.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.387 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 9.387 * [backup-simplify]: Simplify (+ 0 0) into 0 9.388 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.388 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.389 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.389 * [backup-simplify]: Simplify -1/2 into -1/2 9.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.392 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 9.393 * [backup-simplify]: Simplify (+ 1 0) into 1 9.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.396 * [backup-simplify]: Simplify (- 0) into 0 9.396 * [backup-simplify]: Simplify (+ 1 0) into 1 9.396 * [backup-simplify]: Simplify 1 into 1 9.397 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 9.397 * [backup-simplify]: Simplify (+ (+ (/ 1 (/ 1 N)) (/ -1/2 (* (/ 1 N) (/ 1 N)))) (/ 1/3 (* (/ 1 N) (* (/ 1 N) (/ 1 N))))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 9.397 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 9.397 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 9.397 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 9.397 * [taylor]: Taking taylor expansion of N in N 9.397 * [backup-simplify]: Simplify 0 into 0 9.397 * [backup-simplify]: Simplify 1 into 1 9.397 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 9.397 * [taylor]: Taking taylor expansion of 1/3 in N 9.397 * [backup-simplify]: Simplify 1/3 into 1/3 9.397 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.397 * [taylor]: Taking taylor expansion of N in N 9.397 * [backup-simplify]: Simplify 0 into 0 9.397 * [backup-simplify]: Simplify 1 into 1 9.397 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.397 * [taylor]: Taking taylor expansion of 1/2 in N 9.397 * [backup-simplify]: Simplify 1/2 into 1/2 9.397 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.397 * [taylor]: Taking taylor expansion of N in N 9.397 * [backup-simplify]: Simplify 0 into 0 9.398 * [backup-simplify]: Simplify 1 into 1 9.398 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 9.398 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 9.398 * [taylor]: Taking taylor expansion of N in N 9.398 * [backup-simplify]: Simplify 0 into 0 9.398 * [backup-simplify]: Simplify 1 into 1 9.398 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 9.398 * [taylor]: Taking taylor expansion of 1/3 in N 9.398 * [backup-simplify]: Simplify 1/3 into 1/3 9.398 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.398 * [taylor]: Taking taylor expansion of N in N 9.398 * [backup-simplify]: Simplify 0 into 0 9.398 * [backup-simplify]: Simplify 1 into 1 9.398 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.398 * [taylor]: Taking taylor expansion of 1/2 in N 9.398 * [backup-simplify]: Simplify 1/2 into 1/2 9.398 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.398 * [taylor]: Taking taylor expansion of N in N 9.398 * [backup-simplify]: Simplify 0 into 0 9.398 * [backup-simplify]: Simplify 1 into 1 9.398 * [backup-simplify]: Simplify (+ 0 0) into 0 9.399 * [backup-simplify]: Simplify (+ 0 0) into 0 9.399 * [backup-simplify]: Simplify 0 into 0 9.399 * [backup-simplify]: Simplify (+ 1 0) into 1 9.400 * [backup-simplify]: Simplify (+ 1 0) into 1 9.400 * [backup-simplify]: Simplify 1 into 1 9.400 * [backup-simplify]: Simplify (+ 0 0) into 0 9.400 * [backup-simplify]: Simplify (* 1 1) into 1 9.401 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.401 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.402 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.402 * [backup-simplify]: Simplify -1/2 into -1/2 9.402 * [backup-simplify]: Simplify (* 1 1) into 1 9.402 * [backup-simplify]: Simplify (* 1 1) into 1 9.403 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.403 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.405 * [backup-simplify]: Simplify (- 0) into 0 9.405 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 9.405 * [backup-simplify]: Simplify 1/3 into 1/3 9.406 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 9.406 * [backup-simplify]: Simplify (+ (+ (/ 1 (/ 1 (- N))) (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 1/3 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))))) into (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) 9.406 * [approximate]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in (N) around 0 9.406 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 9.406 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 9.406 * [taylor]: Taking taylor expansion of N in N 9.407 * [backup-simplify]: Simplify 0 into 0 9.407 * [backup-simplify]: Simplify 1 into 1 9.407 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 9.407 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.407 * [taylor]: Taking taylor expansion of 1/2 in N 9.407 * [backup-simplify]: Simplify 1/2 into 1/2 9.407 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.407 * [taylor]: Taking taylor expansion of N in N 9.407 * [backup-simplify]: Simplify 0 into 0 9.407 * [backup-simplify]: Simplify 1 into 1 9.407 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 9.407 * [taylor]: Taking taylor expansion of 1/3 in N 9.407 * [backup-simplify]: Simplify 1/3 into 1/3 9.407 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.407 * [taylor]: Taking taylor expansion of N in N 9.407 * [backup-simplify]: Simplify 0 into 0 9.407 * [backup-simplify]: Simplify 1 into 1 9.407 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 9.407 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 9.407 * [taylor]: Taking taylor expansion of N in N 9.407 * [backup-simplify]: Simplify 0 into 0 9.407 * [backup-simplify]: Simplify 1 into 1 9.407 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 9.407 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 9.407 * [taylor]: Taking taylor expansion of 1/2 in N 9.407 * [backup-simplify]: Simplify 1/2 into 1/2 9.407 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.407 * [taylor]: Taking taylor expansion of N in N 9.407 * [backup-simplify]: Simplify 0 into 0 9.407 * [backup-simplify]: Simplify 1 into 1 9.407 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 9.407 * [taylor]: Taking taylor expansion of 1/3 in N 9.407 * [backup-simplify]: Simplify 1/3 into 1/3 9.407 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.407 * [taylor]: Taking taylor expansion of N in N 9.407 * [backup-simplify]: Simplify 0 into 0 9.407 * [backup-simplify]: Simplify 1 into 1 9.412 * [backup-simplify]: Simplify (+ 0 0) into 0 9.412 * [backup-simplify]: Simplify (- 0) into 0 9.412 * [backup-simplify]: Simplify 0 into 0 9.413 * [backup-simplify]: Simplify (+ 1 0) into 1 9.413 * [backup-simplify]: Simplify (- 1) into -1 9.413 * [backup-simplify]: Simplify -1 into -1 9.413 * [backup-simplify]: Simplify (* 1 1) into 1 9.414 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.414 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.414 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.415 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.415 * [backup-simplify]: Simplify -1/2 into -1/2 9.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.416 * [backup-simplify]: Simplify (* 1 1) into 1 9.416 * [backup-simplify]: Simplify (* 1 1) into 1 9.416 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.417 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.417 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 9.417 * [backup-simplify]: Simplify (- 1/3) into -1/3 9.417 * [backup-simplify]: Simplify -1/3 into -1/3 9.417 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 9.417 * * * [progress]: simplifying candidates 9.417 * * * * [progress]: [ 1 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 2 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 3 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 4 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 5 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 6 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 7 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 8 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 9 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 10 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 11 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 12 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 13 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 14 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 15 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 16 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 17 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 18 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 19 / 92 ] simplifiying candidate # 9.418 * * * * [progress]: [ 20 / 92 ] simplifiying candidate #real (real->posit16 (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))))))> 9.418 * * * * [progress]: [ 21 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 22 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 23 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 24 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 25 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 26 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 27 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 28 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 29 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 30 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 31 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 32 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 33 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 34 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 35 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 36 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 37 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 38 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 39 / 92 ] simplifiying candidate # 9.419 * * * * [progress]: [ 40 / 92 ] simplifiying candidate #real (real->posit16 (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))))> 9.419 * * * * [progress]: [ 41 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 42 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 43 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 44 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 45 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 46 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 47 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 48 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 49 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 50 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 51 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 52 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 53 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 54 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 55 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 56 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 57 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 58 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 59 / 92 ] simplifiying candidate # 9.420 * * * * [progress]: [ 60 / 92 ] simplifiying candidate #real (real->posit16 (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))))> 9.420 * * * * [progress]: [ 61 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 62 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 63 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 64 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 65 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 66 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 67 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 68 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 69 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 70 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 71 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 72 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 73 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 74 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 75 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 76 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 77 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 78 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 79 / 92 ] simplifiying candidate #real (real->posit16 (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))))))> 9.421 * * * * [progress]: [ 80 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 81 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 82 / 92 ] simplifiying candidate # 9.421 * * * * [progress]: [ 83 / 92 ] simplifiying candidate # 9.422 * * * * [progress]: [ 84 / 92 ] simplifiying candidate # 9.422 * * * * [progress]: [ 85 / 92 ] simplifiying candidate # 9.422 * * * * [progress]: [ 86 / 92 ] simplifiying candidate # 9.422 * * * * [progress]: [ 87 / 92 ] simplifiying candidate # 9.422 * * * * [progress]: [ 88 / 92 ] simplifiying candidate # 9.422 * * * * [progress]: [ 89 / 92 ] simplifiying candidate # 9.422 * * * * [progress]: [ 90 / 92 ] simplifiying candidate # 9.422 * * * * [progress]: [ 91 / 92 ] simplifiying candidate # 9.422 * * * * [progress]: [ 92 / 92 ] simplifiying candidate # 9.423 * [simplify]: Simplifying: (log (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (exp (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (* (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))))) (cbrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (sqrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (sqrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt 1) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt 1) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt 1) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt 1) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt (+ (* (+ (* 1 (* N N)) (* N -1/2)) (* N (* N N))) (* (* N (* N N)) 1/3))) (cbrt (* (* N (* N N)) (* N (* N N)))) (cbrt (+ (* (+ (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) (* N (* N N))) (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) 1/3))) (cbrt (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) (* N (* N N)))) (cbrt (+ (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (* N (* N N))) (* (- (/ 1 N) (/ -1/2 (* N N))) 1/3))) (cbrt (* (- (/ 1 N) (/ -1/2 (* N N))) (* N (* N N)))) (cbrt (+ (pow (+ (/ 1 N) (/ -1/2 (* N N))) 3) (pow (/ 1/3 (* N (* N N))) 3))) (cbrt (+ (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (- (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))) (* (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))))) (cbrt (- (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (- (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (* (cbrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))))) (cbrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (* (* (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (sqrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (sqrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (real->posit16 (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (log (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (exp (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (* (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))))) (cbrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (sqrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (sqrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt 1) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt 1) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt 1) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt 1) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt (+ (* (+ (* 1 (* N N)) (* N -1/2)) (* N (* N N))) (* (* N (* N N)) 1/3))) (cbrt (* (* N (* N N)) (* N (* N N)))) (cbrt (+ (* (+ (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) (* N (* N N))) (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) 1/3))) (cbrt (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) (* N (* N N)))) (cbrt (+ (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (* N (* N N))) (* (- (/ 1 N) (/ -1/2 (* N N))) 1/3))) (cbrt (* (- (/ 1 N) (/ -1/2 (* N N))) (* N (* N N)))) (cbrt (+ (pow (+ (/ 1 N) (/ -1/2 (* N N))) 3) (pow (/ 1/3 (* N (* N N))) 3))) (cbrt (+ (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (- (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))) (* (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))))) (cbrt (- (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (- (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (* (cbrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))))) (cbrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (* (* (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (sqrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (sqrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (real->posit16 (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (log (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (exp (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (* (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))))) (cbrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (sqrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (sqrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt 1) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt 1) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt 1) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt 1) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt (+ (* (+ (* 1 (* N N)) (* N -1/2)) (* N (* N N))) (* (* N (* N N)) 1/3))) (cbrt (* (* N (* N N)) (* N (* N N)))) (cbrt (+ (* (+ (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) (* N (* N N))) (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) 1/3))) (cbrt (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) (* N (* N N)))) (cbrt (+ (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (* N (* N N))) (* (- (/ 1 N) (/ -1/2 (* N N))) 1/3))) (cbrt (* (- (/ 1 N) (/ -1/2 (* N N))) (* N (* N N)))) (cbrt (+ (pow (+ (/ 1 N) (/ -1/2 (* N N))) 3) (pow (/ 1/3 (* N (* N N))) 3))) (cbrt (+ (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (- (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))) (* (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))))) (cbrt (- (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (- (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (* (cbrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))))) (cbrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (* (* (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (sqrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (sqrt (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (real->posit16 (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (* (* (exp (/ 1 N)) (exp (/ -1/2 (* N N)))) (exp (/ 1/3 (* N (* N N))))) (* (exp (+ (/ 1 N) (/ -1/2 (* N N)))) (exp (/ 1/3 (* N (* N N))))) (log (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (exp (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (* (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (cbrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (* (* (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (sqrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (sqrt (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (+ (* (+ (* 1 (* N N)) (* N -1/2)) (* N (* N N))) (* (* N (* N N)) 1/3)) (* (* N (* N N)) (* N (* N N))) (+ (* (+ (pow (/ 1 N) 3) (pow (/ -1/2 (* N N)) 3)) (* N (* N N))) (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) 1/3)) (* (+ (* (/ 1 N) (/ 1 N)) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ -1/2 (* N N))))) (* N (* N N))) (+ (* (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))) (* N (* N N))) (* (- (/ 1 N) (/ -1/2 (* N N))) 1/3)) (* (- (/ 1 N) (/ -1/2 (* N N))) (* N (* N N))) (+ (pow (+ (/ 1 N) (/ -1/2 (* N N))) 3) (pow (/ 1/3 (* N (* N N))) 3)) (+ (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (- (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))) (* (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))))) (- (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N))))) (- (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N)))) (+ (/ -1/2 (* N N)) (/ 1/3 (* N (* N N)))) (real->posit16 (+ (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* N (* N N))))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 9.425 * * [simplify]: iteration 1: (138 enodes) 9.478 * * [simplify]: iteration 2: (345 enodes) 9.844 * * [simplify]: iteration 3: (1399 enodes) 14.590 * * [simplify]: Extracting #0: cost 41 inf + 0 14.592 * * [simplify]: Extracting #1: cost 414 inf + 1 14.602 * * [simplify]: Extracting #2: cost 2095 inf + 290 14.627 * * [simplify]: Extracting #3: cost 2925 inf + 11207 14.706 * * [simplify]: Extracting #4: cost 1416 inf + 435746 14.963 * * [simplify]: Extracting #5: cost 191 inf + 853288 15.251 * * [simplify]: Extracting #6: cost 101 inf + 887291 15.506 * * [simplify]: Extracting #7: cost 57 inf + 909047 15.762 * * [simplify]: Extracting #8: cost 20 inf + 926682 16.074 * * [simplify]: Extracting #9: cost 0 inf + 937820 16.363 * [simplify]: Simplified to: (log (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (exp (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (cbrt (* (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (cbrt (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (cbrt (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) 1 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) 1 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) 1 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) 1 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) (cbrt (* (* N N) (+ (* N 1/3) (* (* N N) (+ N -1/2))))) (* N N) (cbrt (+ (+ (+ 1 (* (* (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ -1/2 (* N N))) (* (* N N) N))) (/ 1/3 (* N N))) (* (* (/ -1/2 (* N N)) (- (/ -1/2 (* N N)) (/ 1 N))) 1/3))) (cbrt (* (* (* N N) N) (+ (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (- (/ -1/2 (* N N)) (/ 1 N)))))) (cbrt (* (+ (/ 1 N) (/ 1/2 (* N N))) (+ (* N (* (* N N) (+ (/ 1 N) (/ -1/2 (* N N))))) 1/3))) (cbrt (* (+ (/ 1 N) (/ 1/2 (* N N))) (* (* N N) N))) (cbrt (+ (* (/ 1/3 (* (* N N) N)) (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N)))) (* (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (+ (* (/ 1/3 (* (* N N) N)) (- (- (/ 1/3 (* (* N N) N)) (/ -1/2 (* N N))) (/ 1 N))) (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (- (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N))))) (cbrt (- (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* (* N N) N)))) (* (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))) (sqrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (sqrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (real->posit16 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (log (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (exp (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (cbrt (* (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (cbrt (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (cbrt (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) 1 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) 1 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) 1 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) 1 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) (cbrt (* (* N N) (+ (* N 1/3) (* (* N N) (+ N -1/2))))) (* N N) (cbrt (+ (+ (+ 1 (* (* (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ -1/2 (* N N))) (* (* N N) N))) (/ 1/3 (* N N))) (* (* (/ -1/2 (* N N)) (- (/ -1/2 (* N N)) (/ 1 N))) 1/3))) (cbrt (* (* (* N N) N) (+ (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (- (/ -1/2 (* N N)) (/ 1 N)))))) (cbrt (* (+ (/ 1 N) (/ 1/2 (* N N))) (+ (* N (* (* N N) (+ (/ 1 N) (/ -1/2 (* N N))))) 1/3))) (cbrt (* (+ (/ 1 N) (/ 1/2 (* N N))) (* (* N N) N))) (cbrt (+ (* (/ 1/3 (* (* N N) N)) (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N)))) (* (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (+ (* (/ 1/3 (* (* N N) N)) (- (- (/ 1/3 (* (* N N) N)) (/ -1/2 (* N N))) (/ 1 N))) (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (- (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N))))) (cbrt (- (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* (* N N) N)))) (* (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))) (sqrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (sqrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (real->posit16 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (log (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (exp (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (cbrt (* (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (cbrt (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (cbrt (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) 1 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) 1 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) 1 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) 1 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) (cbrt (* (* N N) (+ (* N 1/3) (* (* N N) (+ N -1/2))))) (* N N) (cbrt (+ (+ (+ 1 (* (* (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ -1/2 (* N N))) (* (* N N) N))) (/ 1/3 (* N N))) (* (* (/ -1/2 (* N N)) (- (/ -1/2 (* N N)) (/ 1 N))) 1/3))) (cbrt (* (* (* N N) N) (+ (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (- (/ -1/2 (* N N)) (/ 1 N)))))) (cbrt (* (+ (/ 1 N) (/ 1/2 (* N N))) (+ (* N (* (* N N) (+ (/ 1 N) (/ -1/2 (* N N))))) 1/3))) (cbrt (* (+ (/ 1 N) (/ 1/2 (* N N))) (* (* N N) N))) (cbrt (+ (* (/ 1/3 (* (* N N) N)) (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N)))) (* (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (+ (* (/ 1/3 (* (* N N) N)) (- (- (/ 1/3 (* (* N N) N)) (/ -1/2 (* N N))) (/ 1 N))) (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))))) (cbrt (- (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N))))) (cbrt (- (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* (* N N) N)))) (* (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))))) (cbrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))) (sqrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (sqrt (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (real->posit16 (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (exp (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) (exp (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) (log (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) (exp (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) (* (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (cbrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) (* (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))) (* (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))))) (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) (sqrt (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) (* (* N N) (+ (* N 1/3) (* (* N N) (+ N -1/2)))) (* (* (* N N) (* N N)) (* N N)) (+ (+ (+ 1 (* (* (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ -1/2 (* N N))) (* (* N N) N))) (/ 1/3 (* N N))) (* (* (/ -1/2 (* N N)) (- (/ -1/2 (* N N)) (/ 1 N))) 1/3)) (* (* (* N N) N) (+ (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (- (/ -1/2 (* N N)) (/ 1 N))))) (* (+ (/ 1 N) (/ 1/2 (* N N))) (+ (* N (* (* N N) (+ (/ 1 N) (/ -1/2 (* N N))))) 1/3)) (* (+ (/ 1 N) (/ 1/2 (* N N))) (* (* N N) N)) (+ (* (/ 1/3 (* (* N N) N)) (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N)))) (* (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (+ (/ 1 N) (/ -1/2 (* N N))))) (+ (* (/ 1/3 (* (* N N) N)) (- (- (/ 1/3 (* (* N N) N)) (/ -1/2 (* N N))) (/ 1 N))) (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N))))) (- (* (+ (/ 1 N) (/ -1/2 (* N N))) (+ (/ 1 N) (/ -1/2 (* N N)))) (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N)))) (- (+ (/ 1 N) (/ -1/2 (* N N))) (/ 1/3 (* (* N N) N))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))) (+ (/ -1/2 (* N N)) (/ 1/3 (* (* N N) N))) (real->posit16 (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N))))) (+ (* (exp (* (+ (log 1/3) (* (log N) -3)) 1/3)) (- (* 3/4 (* N N)) (* N 1/2))) (exp (* (+ (log 1/3) (* (log N) -3)) 1/3))) (+ (+ (cbrt (/ 1 N)) (* (cbrt (/ 1 (* (* N N) (* N N)))) -1/6)) (* (cbrt (/ 1 (pow N 7))) 1/12)) (* (cbrt -1) (- (+ (cbrt (/ -1 N)) (* 1/12 (cbrt (/ -1 (pow N 7))))) (* (cbrt (/ (/ -1 (* N N)) (* N N))) 1/6))) (+ (* (exp (* (+ (log 1/3) (* (log N) -3)) 1/3)) (- (* 3/4 (* N N)) (* N 1/2))) (exp (* (+ (log 1/3) (* (log N) -3)) 1/3))) (+ (+ (cbrt (/ 1 N)) (* (cbrt (/ 1 (* (* N N) (* N N)))) -1/6)) (* (cbrt (/ 1 (pow N 7))) 1/12)) (* (cbrt -1) (- (+ (cbrt (/ -1 N)) (* 1/12 (cbrt (/ -1 (pow N 7))))) (* (cbrt (/ (/ -1 (* N N)) (* N N))) 1/6))) (+ (* (exp (* (+ (log 1/3) (* (log N) -3)) 1/3)) (- (* 3/4 (* N N)) (* N 1/2))) (exp (* (+ (log 1/3) (* (log N) -3)) 1/3))) (+ (+ (cbrt (/ 1 N)) (* (cbrt (/ 1 (* (* N N) (* N N)))) -1/6)) (* (cbrt (/ 1 (pow N 7))) 1/12)) (* (cbrt -1) (- (+ (cbrt (/ -1 N)) (* 1/12 (cbrt (/ -1 (pow N 7))))) (* (cbrt (/ (/ -1 (* N N)) (* N N))) 1/6))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* (* N N) N)))) 16.387 * * * [progress]: adding candidates to table 17.417 * * [progress]: iteration 4 / 4 17.417 * * * [progress]: picking best candidate 17.425 * * * * [pick]: Picked # 17.425 * * * [progress]: localizing error 17.437 * * * [progress]: generating rewritten candidates 17.437 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 17.441 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 17.459 * * * [progress]: generating series expansions 17.459 * * * * [progress]: [ 1 / 2 ] generating series at (2) 17.459 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 17.459 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 17.459 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 17.459 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 17.459 * [taylor]: Taking taylor expansion of (+ N 1) in N 17.459 * [taylor]: Taking taylor expansion of N in N 17.459 * [backup-simplify]: Simplify 0 into 0 17.459 * [backup-simplify]: Simplify 1 into 1 17.459 * [taylor]: Taking taylor expansion of 1 in N 17.459 * [backup-simplify]: Simplify 1 into 1 17.459 * [taylor]: Taking taylor expansion of N in N 17.459 * [backup-simplify]: Simplify 0 into 0 17.459 * [backup-simplify]: Simplify 1 into 1 17.460 * [backup-simplify]: Simplify (+ 0 1) into 1 17.460 * [backup-simplify]: Simplify (/ 1 1) into 1 17.460 * [backup-simplify]: Simplify (log 1) into 0 17.460 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 17.460 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 17.460 * [taylor]: Taking taylor expansion of (+ N 1) in N 17.460 * [taylor]: Taking taylor expansion of N in N 17.460 * [backup-simplify]: Simplify 0 into 0 17.460 * [backup-simplify]: Simplify 1 into 1 17.460 * [taylor]: Taking taylor expansion of 1 in N 17.460 * [backup-simplify]: Simplify 1 into 1 17.460 * [taylor]: Taking taylor expansion of N in N 17.460 * [backup-simplify]: Simplify 0 into 0 17.461 * [backup-simplify]: Simplify 1 into 1 17.461 * [backup-simplify]: Simplify (+ 0 1) into 1 17.461 * [backup-simplify]: Simplify (/ 1 1) into 1 17.461 * [backup-simplify]: Simplify (log 1) into 0 17.462 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 17.462 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 17.462 * [backup-simplify]: Simplify (+ 1 0) into 1 17.463 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 17.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 17.463 * [backup-simplify]: Simplify 1 into 1 17.464 * [backup-simplify]: Simplify (+ 0 0) into 0 17.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 17.466 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 17.466 * [backup-simplify]: Simplify -1/2 into -1/2 17.466 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 17.466 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 17.466 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 17.466 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 17.466 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 17.466 * [taylor]: Taking taylor expansion of N in N 17.466 * [backup-simplify]: Simplify 0 into 0 17.466 * [backup-simplify]: Simplify 1 into 1 17.466 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 17.466 * [taylor]: Taking taylor expansion of (/ 1 N) in N 17.466 * [taylor]: Taking taylor expansion of N in N 17.466 * [backup-simplify]: Simplify 0 into 0 17.466 * [backup-simplify]: Simplify 1 into 1 17.466 * [backup-simplify]: Simplify (/ 1 1) into 1 17.466 * [taylor]: Taking taylor expansion of 1 in N 17.466 * [backup-simplify]: Simplify 1 into 1 17.467 * [backup-simplify]: Simplify (+ 1 0) into 1 17.467 * [backup-simplify]: Simplify (* 0 1) into 0 17.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.468 * [backup-simplify]: Simplify (+ 0 1) into 1 17.468 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 17.468 * [backup-simplify]: Simplify (log 1) into 0 17.468 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 17.468 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 17.468 * [taylor]: Taking taylor expansion of N in N 17.468 * [backup-simplify]: Simplify 0 into 0 17.468 * [backup-simplify]: Simplify 1 into 1 17.468 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 17.468 * [taylor]: Taking taylor expansion of (/ 1 N) in N 17.468 * [taylor]: Taking taylor expansion of N in N 17.468 * [backup-simplify]: Simplify 0 into 0 17.468 * [backup-simplify]: Simplify 1 into 1 17.469 * [backup-simplify]: Simplify (/ 1 1) into 1 17.469 * [taylor]: Taking taylor expansion of 1 in N 17.469 * [backup-simplify]: Simplify 1 into 1 17.469 * [backup-simplify]: Simplify (+ 1 0) into 1 17.469 * [backup-simplify]: Simplify (* 0 1) into 0 17.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.470 * [backup-simplify]: Simplify (+ 0 1) into 1 17.470 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 17.471 * [backup-simplify]: Simplify (log 1) into 0 17.471 * [backup-simplify]: Simplify 0 into 0 17.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.471 * [backup-simplify]: Simplify (+ 0 0) into 0 17.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 17.473 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 17.473 * [backup-simplify]: Simplify 1 into 1 17.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.474 * [backup-simplify]: Simplify (+ 0 0) into 0 17.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 17.478 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 17.478 * [backup-simplify]: Simplify -1/2 into -1/2 17.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.479 * [backup-simplify]: Simplify (+ 0 0) into 0 17.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 17.486 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 17.486 * [backup-simplify]: Simplify 1/3 into 1/3 17.486 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 17.486 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 17.486 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 17.486 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 17.486 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 17.486 * [taylor]: Taking taylor expansion of -1 in N 17.486 * [backup-simplify]: Simplify -1 into -1 17.486 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 17.487 * [taylor]: Taking taylor expansion of N in N 17.487 * [backup-simplify]: Simplify 0 into 0 17.487 * [backup-simplify]: Simplify 1 into 1 17.487 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 17.487 * [taylor]: Taking taylor expansion of 1 in N 17.487 * [backup-simplify]: Simplify 1 into 1 17.487 * [taylor]: Taking taylor expansion of (/ 1 N) in N 17.487 * [taylor]: Taking taylor expansion of N in N 17.487 * [backup-simplify]: Simplify 0 into 0 17.487 * [backup-simplify]: Simplify 1 into 1 17.487 * [backup-simplify]: Simplify (/ 1 1) into 1 17.488 * [backup-simplify]: Simplify (- 1) into -1 17.488 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.488 * [backup-simplify]: Simplify (* 0 -1) into 0 17.489 * [backup-simplify]: Simplify (* -1 0) into 0 17.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.490 * [backup-simplify]: Simplify (- 0) into 0 17.490 * [backup-simplify]: Simplify (+ 1 0) into 1 17.491 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 17.492 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 17.492 * [backup-simplify]: Simplify (log 1) into 0 17.492 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 17.492 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 17.492 * [taylor]: Taking taylor expansion of -1 in N 17.492 * [backup-simplify]: Simplify -1 into -1 17.492 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 17.492 * [taylor]: Taking taylor expansion of N in N 17.492 * [backup-simplify]: Simplify 0 into 0 17.492 * [backup-simplify]: Simplify 1 into 1 17.492 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 17.492 * [taylor]: Taking taylor expansion of 1 in N 17.492 * [backup-simplify]: Simplify 1 into 1 17.493 * [taylor]: Taking taylor expansion of (/ 1 N) in N 17.493 * [taylor]: Taking taylor expansion of N in N 17.493 * [backup-simplify]: Simplify 0 into 0 17.493 * [backup-simplify]: Simplify 1 into 1 17.493 * [backup-simplify]: Simplify (/ 1 1) into 1 17.493 * [backup-simplify]: Simplify (- 1) into -1 17.494 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.494 * [backup-simplify]: Simplify (* 0 -1) into 0 17.495 * [backup-simplify]: Simplify (* -1 0) into 0 17.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.496 * [backup-simplify]: Simplify (- 0) into 0 17.496 * [backup-simplify]: Simplify (+ 1 0) into 1 17.497 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 17.498 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 17.498 * [backup-simplify]: Simplify (log 1) into 0 17.498 * [backup-simplify]: Simplify 0 into 0 17.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.499 * [backup-simplify]: Simplify (- 0) into 0 17.500 * [backup-simplify]: Simplify (+ 0 0) into 0 17.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 17.502 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 17.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 17.503 * [backup-simplify]: Simplify -1 into -1 17.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.504 * [backup-simplify]: Simplify (- 0) into 0 17.505 * [backup-simplify]: Simplify (+ 0 0) into 0 17.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 17.507 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 17.510 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 17.510 * [backup-simplify]: Simplify -1/2 into -1/2 17.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.512 * [backup-simplify]: Simplify (- 0) into 0 17.512 * [backup-simplify]: Simplify (+ 0 0) into 0 17.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 17.515 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 17.521 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 17.521 * [backup-simplify]: Simplify -1/3 into -1/3 17.521 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 17.522 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 17.522 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 17.522 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 17.522 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 17.522 * [taylor]: Taking taylor expansion of (+ N 1) in N 17.522 * [taylor]: Taking taylor expansion of N in N 17.522 * [backup-simplify]: Simplify 0 into 0 17.522 * [backup-simplify]: Simplify 1 into 1 17.522 * [taylor]: Taking taylor expansion of 1 in N 17.522 * [backup-simplify]: Simplify 1 into 1 17.522 * [taylor]: Taking taylor expansion of N in N 17.522 * [backup-simplify]: Simplify 0 into 0 17.522 * [backup-simplify]: Simplify 1 into 1 17.523 * [backup-simplify]: Simplify (+ 0 1) into 1 17.523 * [backup-simplify]: Simplify (/ 1 1) into 1 17.523 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 17.523 * [taylor]: Taking taylor expansion of (+ N 1) in N 17.523 * [taylor]: Taking taylor expansion of N in N 17.523 * [backup-simplify]: Simplify 0 into 0 17.523 * [backup-simplify]: Simplify 1 into 1 17.523 * [taylor]: Taking taylor expansion of 1 in N 17.523 * [backup-simplify]: Simplify 1 into 1 17.523 * [taylor]: Taking taylor expansion of N in N 17.523 * [backup-simplify]: Simplify 0 into 0 17.523 * [backup-simplify]: Simplify 1 into 1 17.524 * [backup-simplify]: Simplify (+ 0 1) into 1 17.524 * [backup-simplify]: Simplify (/ 1 1) into 1 17.524 * [backup-simplify]: Simplify 1 into 1 17.525 * [backup-simplify]: Simplify (+ 1 0) into 1 17.526 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 17.526 * [backup-simplify]: Simplify 1 into 1 17.527 * [backup-simplify]: Simplify (+ 0 0) into 0 17.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 17.528 * [backup-simplify]: Simplify 0 into 0 17.528 * [backup-simplify]: Simplify (+ 0 0) into 0 17.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.529 * [backup-simplify]: Simplify 0 into 0 17.530 * [backup-simplify]: Simplify (+ 0 0) into 0 17.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.531 * [backup-simplify]: Simplify 0 into 0 17.531 * [backup-simplify]: Simplify (+ 0 0) into 0 17.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.532 * [backup-simplify]: Simplify 0 into 0 17.533 * [backup-simplify]: Simplify (+ 0 0) into 0 17.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.534 * [backup-simplify]: Simplify 0 into 0 17.535 * [backup-simplify]: Simplify (+ 0 0) into 0 17.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.536 * [backup-simplify]: Simplify 0 into 0 17.536 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 17.536 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 17.536 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 17.536 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 17.536 * [taylor]: Taking taylor expansion of N in N 17.536 * [backup-simplify]: Simplify 0 into 0 17.536 * [backup-simplify]: Simplify 1 into 1 17.536 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 17.536 * [taylor]: Taking taylor expansion of (/ 1 N) in N 17.536 * [taylor]: Taking taylor expansion of N in N 17.536 * [backup-simplify]: Simplify 0 into 0 17.536 * [backup-simplify]: Simplify 1 into 1 17.537 * [backup-simplify]: Simplify (/ 1 1) into 1 17.537 * [taylor]: Taking taylor expansion of 1 in N 17.537 * [backup-simplify]: Simplify 1 into 1 17.537 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 17.537 * [taylor]: Taking taylor expansion of N in N 17.537 * [backup-simplify]: Simplify 0 into 0 17.537 * [backup-simplify]: Simplify 1 into 1 17.537 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 17.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 17.537 * [taylor]: Taking taylor expansion of N in N 17.537 * [backup-simplify]: Simplify 0 into 0 17.537 * [backup-simplify]: Simplify 1 into 1 17.537 * [backup-simplify]: Simplify (/ 1 1) into 1 17.537 * [taylor]: Taking taylor expansion of 1 in N 17.537 * [backup-simplify]: Simplify 1 into 1 17.538 * [backup-simplify]: Simplify (+ 1 0) into 1 17.538 * [backup-simplify]: Simplify (* 0 1) into 0 17.539 * [backup-simplify]: Simplify 0 into 0 17.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.540 * [backup-simplify]: Simplify (+ 0 1) into 1 17.541 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 17.541 * [backup-simplify]: Simplify 1 into 1 17.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.542 * [backup-simplify]: Simplify (+ 0 0) into 0 17.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 17.543 * [backup-simplify]: Simplify 1 into 1 17.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.544 * [backup-simplify]: Simplify (+ 0 0) into 0 17.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 17.546 * [backup-simplify]: Simplify 0 into 0 17.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.547 * [backup-simplify]: Simplify (+ 0 0) into 0 17.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 17.548 * [backup-simplify]: Simplify 0 into 0 17.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.550 * [backup-simplify]: Simplify (+ 0 0) into 0 17.551 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 17.551 * [backup-simplify]: Simplify 0 into 0 17.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.553 * [backup-simplify]: Simplify (+ 0 0) into 0 17.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 17.555 * [backup-simplify]: Simplify 0 into 0 17.556 * [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 17.556 * [backup-simplify]: Simplify (+ 0 0) into 0 17.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 17.558 * [backup-simplify]: Simplify 0 into 0 17.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.560 * [backup-simplify]: Simplify (+ 0 0) into 0 17.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 17.562 * [backup-simplify]: Simplify 0 into 0 17.562 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 17.562 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 17.562 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 17.562 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 17.563 * [taylor]: Taking taylor expansion of -1 in N 17.563 * [backup-simplify]: Simplify -1 into -1 17.563 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 17.563 * [taylor]: Taking taylor expansion of N in N 17.563 * [backup-simplify]: Simplify 0 into 0 17.563 * [backup-simplify]: Simplify 1 into 1 17.563 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 17.563 * [taylor]: Taking taylor expansion of 1 in N 17.563 * [backup-simplify]: Simplify 1 into 1 17.563 * [taylor]: Taking taylor expansion of (/ 1 N) in N 17.563 * [taylor]: Taking taylor expansion of N in N 17.563 * [backup-simplify]: Simplify 0 into 0 17.563 * [backup-simplify]: Simplify 1 into 1 17.564 * [backup-simplify]: Simplify (/ 1 1) into 1 17.564 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 17.564 * [taylor]: Taking taylor expansion of -1 in N 17.564 * [backup-simplify]: Simplify -1 into -1 17.564 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 17.564 * [taylor]: Taking taylor expansion of N in N 17.564 * [backup-simplify]: Simplify 0 into 0 17.564 * [backup-simplify]: Simplify 1 into 1 17.564 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 17.564 * [taylor]: Taking taylor expansion of 1 in N 17.564 * [backup-simplify]: Simplify 1 into 1 17.564 * [taylor]: Taking taylor expansion of (/ 1 N) in N 17.564 * [taylor]: Taking taylor expansion of N in N 17.564 * [backup-simplify]: Simplify 0 into 0 17.564 * [backup-simplify]: Simplify 1 into 1 17.565 * [backup-simplify]: Simplify (/ 1 1) into 1 17.565 * [backup-simplify]: Simplify (- 1) into -1 17.566 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.566 * [backup-simplify]: Simplify (* 0 -1) into 0 17.567 * [backup-simplify]: Simplify (* -1 0) into 0 17.567 * [backup-simplify]: Simplify 0 into 0 17.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.568 * [backup-simplify]: Simplify (- 0) into 0 17.568 * [backup-simplify]: Simplify (+ 1 0) into 1 17.569 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 17.570 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 17.570 * [backup-simplify]: Simplify 1 into 1 17.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.571 * [backup-simplify]: Simplify (- 0) into 0 17.571 * [backup-simplify]: Simplify (+ 0 0) into 0 17.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 17.573 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 17.573 * [backup-simplify]: Simplify -1 into -1 17.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.575 * [backup-simplify]: Simplify (- 0) into 0 17.575 * [backup-simplify]: Simplify (+ 0 0) into 0 17.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 17.585 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 17.585 * [backup-simplify]: Simplify 0 into 0 17.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.587 * [backup-simplify]: Simplify (- 0) into 0 17.587 * [backup-simplify]: Simplify (+ 0 0) into 0 17.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 17.590 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 17.590 * [backup-simplify]: Simplify 0 into 0 17.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.591 * [backup-simplify]: Simplify (- 0) into 0 17.592 * [backup-simplify]: Simplify (+ 0 0) into 0 17.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 17.595 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 17.595 * [backup-simplify]: Simplify 0 into 0 17.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.597 * [backup-simplify]: Simplify (- 0) into 0 17.597 * [backup-simplify]: Simplify (+ 0 0) into 0 17.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 17.602 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 17.602 * [backup-simplify]: Simplify 0 into 0 17.603 * [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 17.603 * [backup-simplify]: Simplify (- 0) into 0 17.604 * [backup-simplify]: Simplify (+ 0 0) into 0 17.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 17.608 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 17.608 * [backup-simplify]: Simplify 0 into 0 17.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.610 * [backup-simplify]: Simplify (- 0) into 0 17.611 * [backup-simplify]: Simplify (+ 0 0) into 0 17.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 17.615 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 17.615 * [backup-simplify]: Simplify 0 into 0 17.616 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 17.616 * * * [progress]: simplifying candidates 17.616 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 17.616 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 17.616 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 17.616 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 17.616 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 17.616 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 17.616 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 17.616 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 17.616 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 17.616 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 17.617 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 17.617 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 17.618 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 17.618 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 17.618 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 17.618 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 17.618 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 17.618 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 17.618 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 17.618 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 17.618 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 17.618 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 17.618 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 17.618 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 17.618 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 17.619 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 17.620 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 17.620 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 17.620 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 17.620 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 17.620 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 17.620 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 17.620 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 17.621 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log 1) (log (/ (+ N 1) N)) (log (+ N 1)) (log (/ 1 N)) (log (+ N 1)) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (exp (log (/ (+ N 1) N))) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (- (log (+ N 1)) (log N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (/ (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (- (+ N 1)) (- N) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ N 1)) (sqrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1) (/ (cbrt (+ N 1)) N) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) 1) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (/ (+ N 1) 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (* N (+ (* N N) (- (* 1 1) (* N 1)))) (* N (- N 1)) (real->posit16 (/ (+ N 1) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 17.623 * * [simplify]: iteration 1: (102 enodes) 17.662 * * [simplify]: iteration 2: (225 enodes) 17.734 * * [simplify]: iteration 3: (508 enodes) 18.185 * * [simplify]: iteration 4: (1555 enodes) 20.502 * * [simplify]: Extracting #0: cost 64 inf + 0 20.504 * * [simplify]: Extracting #1: cost 621 inf + 2 20.510 * * [simplify]: Extracting #2: cost 1311 inf + 19747 20.544 * * [simplify]: Extracting #3: cost 864 inf + 116587 20.625 * * [simplify]: Extracting #4: cost 258 inf + 243399 20.723 * * [simplify]: Extracting #5: cost 11 inf + 327444 20.800 * * [simplify]: Extracting #6: cost 0 inf + 331859 20.872 * [simplify]: Simplified to: (log (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N))))) (log (cbrt (+ 1 (/ 1 N)))) (log (sqrt (+ 1 (/ 1 N)))) (log (sqrt (+ 1 (/ 1 N)))) (+ (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (* -2 (log (cbrt N))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (+ 1 (/ 1 N))) (* -2 (log (cbrt N))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (+ 1 (/ 1 N))) 0 (log (+ 1 (/ 1 N))) (log (+ 1 N)) (- (log N)) (log (+ 1 N)) (log N) (log (+ 1 (/ 1 N))) (log (log (+ 1 (/ 1 N)))) (+ 1 (/ 1 N)) (* (cbrt (log (+ 1 (/ 1 N)))) (cbrt (log (+ 1 (/ 1 N))))) (cbrt (log (+ 1 (/ 1 N)))) (* (* (log (+ 1 (/ 1 N))) (log (+ 1 (/ 1 N)))) (log (+ 1 (/ 1 N)))) (sqrt (log (+ 1 (/ 1 N)))) (sqrt (log (+ 1 (/ 1 N)))) (real->posit16 (log (+ 1 (/ 1 N)))) (log (+ 1 (/ 1 N))) (log (+ 1 (/ 1 N))) (exp (+ 1 (/ 1 N))) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (* (cbrt (+ 1 (/ 1 N))) (cbrt (+ 1 (/ 1 N)))) (cbrt (+ 1 (/ 1 N))) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (+ 1 (/ 1 N))) (sqrt (+ 1 (/ 1 N))) (- -1 N) (- N) (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N)))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (+ 1 (/ 1 N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (+ 1 (/ 1 N)) (/ 1 N) (/ N (+ 1 N)) (/ (/ (+ 1 N) (cbrt N)) (cbrt N)) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (+ (* N (* N N)) (- N (* N N))) (* (+ N -1) N) (real->posit16 (+ 1 (/ 1 N))) (- N (+ (* N (* 1/2 N)) (log N))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* N (* N N))))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* N (* N N))))) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) 20.875 * * * [progress]: adding candidates to table 21.370 * [progress]: [Phase 3 of 3] Extracting. 21.370 * * [regime]: Finding splitpoints for: (# # # #) 21.371 * * * [regime-changes]: Trying 1 branch expressions: (N) 21.372 * * * * [regimes]: Trying to branch on N from (# # # #) 21.403 * * * [regime]: Found split indices: #