0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.112 * * * [progress]: [2/2] Setting up program. 0.117 * [progress]: [Phase 2 of 3] Improving. 0.117 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.117 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.117 * * [simplify]: iteration 1: (6 enodes) 0.120 * * [simplify]: iteration 2: (23 enodes) 0.124 * * [simplify]: iteration 3: (28 enodes) 0.129 * * [simplify]: Extracting #0: cost 1 inf + 0 0.129 * * [simplify]: Extracting #1: cost 5 inf + 0 0.129 * * [simplify]: Extracting #2: cost 10 inf + 0 0.129 * * [simplify]: Extracting #3: cost 11 inf + 1 0.129 * * [simplify]: Extracting #4: cost 6 inf + 228 0.129 * * [simplify]: Extracting #5: cost 1 inf + 896 0.129 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.129 * [simplify]: Simplified to (- (log (+ 1 N)) (log N)) 0.132 * * [progress]: iteration 1 / 4 0.132 * * * [progress]: picking best candidate 0.134 * * * * [pick]: Picked # 0.134 * * * [progress]: localizing error 0.146 * * * [progress]: generating rewritten candidates 0.146 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.155 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.158 * * * [progress]: generating series expansions 0.158 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.158 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.159 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.159 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.159 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.159 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of 1 in N 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (+ 0 1) into 1 0.160 * [backup-simplify]: Simplify (log 1) into 0 0.160 * [taylor]: Taking taylor expansion of (log N) in N 0.160 * [taylor]: Taking taylor expansion of N in N 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (log 1) into 0 0.160 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.160 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.160 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.160 * [taylor]: Taking taylor expansion of N in N 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [taylor]: Taking taylor expansion of 1 in N 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (+ 0 1) into 1 0.161 * [backup-simplify]: Simplify (log 1) into 0 0.161 * [taylor]: Taking taylor expansion of (log N) in N 0.161 * [taylor]: Taking taylor expansion of N in N 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (log 1) into 0 0.161 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.161 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.161 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.162 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.162 * [backup-simplify]: Simplify (+ 1 0) into 1 0.164 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 1 0) into 1 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.174 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.175 * [backup-simplify]: Simplify -1/2 into -1/2 0.175 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.175 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.175 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.175 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.175 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [taylor]: Taking taylor expansion of 1 in N 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (+ 1 0) into 1 0.177 * [backup-simplify]: Simplify (log 1) into 0 0.177 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [backup-simplify]: Simplify (log 1) into 0 0.178 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.178 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [taylor]: Taking taylor expansion of 1 in N 0.178 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [backup-simplify]: Simplify (log 1) into 0 0.179 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [backup-simplify]: Simplify (log 1) into 0 0.180 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.181 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.181 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.181 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 1) into 1 0.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ 1 0) into 1 0.187 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.199 * [backup-simplify]: Simplify -1/2 into -1/2 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [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 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [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 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.222 * [backup-simplify]: Simplify 1/3 into 1/3 0.223 * [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)))) 0.223 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.224 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.224 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.224 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.224 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.224 * [taylor]: Taking taylor expansion of 1 in N 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.224 * [taylor]: Taking taylor expansion of N in N 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [backup-simplify]: Simplify (- 1) into -1 0.225 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.225 * [backup-simplify]: Simplify (log -1) into (log -1) 0.225 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.225 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.225 * [taylor]: Taking taylor expansion of -1 in N 0.225 * [backup-simplify]: Simplify -1 into -1 0.225 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ -1 1) into -1 0.226 * [backup-simplify]: Simplify (log -1) into (log -1) 0.226 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.226 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.226 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.226 * [taylor]: Taking taylor expansion of 1 in N 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [backup-simplify]: Simplify (- 1) into -1 0.228 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.228 * [backup-simplify]: Simplify (log -1) into (log -1) 0.228 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.228 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.228 * [taylor]: Taking taylor expansion of -1 in N 0.228 * [backup-simplify]: Simplify -1 into -1 0.228 * [taylor]: Taking taylor expansion of N in N 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ -1 1) into -1 0.229 * [backup-simplify]: Simplify (log -1) into (log -1) 0.230 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.231 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.231 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.232 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify (+ 1 0) into 1 0.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ -1 0) into -1 0.238 * [backup-simplify]: Simplify -1 into -1 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.247 * [backup-simplify]: Simplify -1/2 into -1/2 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [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 0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [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 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.263 * [backup-simplify]: Simplify -1/3 into -1/3 0.263 * [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)))) 0.263 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.263 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.263 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.263 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.263 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.263 * [taylor]: Taking taylor expansion of N in N 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of 1 in N 0.263 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (+ 0 1) into 1 0.264 * [backup-simplify]: Simplify (log 1) into 0 0.264 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.264 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.264 * [taylor]: Taking taylor expansion of N in N 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [taylor]: Taking taylor expansion of 1 in N 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (+ 0 1) into 1 0.265 * [backup-simplify]: Simplify (log 1) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (+ 1 0) into 1 0.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.270 * [backup-simplify]: Simplify -1/2 into -1/2 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [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 0.275 * [backup-simplify]: Simplify 1/3 into 1/3 0.276 * [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))) 0.276 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.276 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.276 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.276 * [taylor]: Taking taylor expansion of N in N 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of 1 in N 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (+ 1 0) into 1 0.278 * [backup-simplify]: Simplify (log 1) into 0 0.278 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.278 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.278 * [taylor]: Taking taylor expansion of N in N 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [taylor]: Taking taylor expansion of 1 in N 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (+ 1 0) into 1 0.280 * [backup-simplify]: Simplify (log 1) into 0 0.281 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.281 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ 0 1) into 1 0.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.284 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.289 * [backup-simplify]: Simplify -1/2 into -1/2 0.289 * [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)))) 0.289 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.289 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.289 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.289 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.289 * [taylor]: Taking taylor expansion of 1 in N 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.289 * [taylor]: Taking taylor expansion of N in N 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (- 1) into -1 0.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.291 * [backup-simplify]: Simplify (log -1) into (log -1) 0.291 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.291 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.291 * [taylor]: Taking taylor expansion of 1 in N 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.291 * [taylor]: Taking taylor expansion of N in N 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [backup-simplify]: Simplify (- 1) into -1 0.292 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.293 * [backup-simplify]: Simplify (log -1) into (log -1) 0.293 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.294 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ 1 0) into 1 0.297 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.297 * [backup-simplify]: Simplify -1 into -1 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.301 * [backup-simplify]: Simplify -1/2 into -1/2 0.302 * [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)))) 0.302 * * * [progress]: simplifying candidates 0.302 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.302 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.302 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.302 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.302 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.302 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 16 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.303 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.304 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.304 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.304 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.304 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.304 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.304 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.304 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.304 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.304 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.304 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.304 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.304 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.304 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.304 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.304 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.304 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.304 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.305 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.305 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.305 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.305 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.305 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.305 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.305 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.305 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.305 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.306 * [simplify]: Simplifying (/ (+ 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))), (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 (+ (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)))), (- (+ 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)))) 0.307 * * [simplify]: iteration 1: (97 enodes) 0.358 * * [simplify]: iteration 2: (369 enodes) 0.483 * * [simplify]: iteration 3: (633 enodes) 0.647 * * [simplify]: iteration 4: (1182 enodes) 1.225 * * [simplify]: Extracting #0: cost 41 inf + 0 1.226 * * [simplify]: Extracting #1: cost 231 inf + 1 1.229 * * [simplify]: Extracting #2: cost 523 inf + 3283 1.239 * * [simplify]: Extracting #3: cost 470 inf + 25383 1.265 * * [simplify]: Extracting #4: cost 182 inf + 90049 1.307 * * [simplify]: Extracting #5: cost 24 inf + 139287 1.350 * * [simplify]: Extracting #6: cost 0 inf + 149366 1.376 * [simplify]: Simplified to (/ (+ 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 (+ 1 N))) (* (log N) (log N))), (+ (log N) (log (+ 1 N))), (+ (sqrt (log N)) (sqrt (log (+ 1 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 (- N 1))), (- (log N)), (real->posit16 (- (log (+ 1 N)) (log N))), (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))), (log (cbrt (+ 1 N))), (log (sqrt (+ 1 N))), (log (sqrt (+ 1 N))), 0, (log (+ 1 N)), 0, (log (+ 1 N)), (log (+ 1 (* N (* N N)))), (log (+ 1 (- (* N N) N))), (log (- (* N N) 1)), (log (- N 1)), (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))), (- (- N (log N)) (* (* N 1/2) N)), (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))), (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))), (+ (* (+ (* N 1/3) -1/2) (* N N)) N), (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))), (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) 1.378 * * * [progress]: adding candidates to table 1.717 * * [progress]: iteration 2 / 4 1.717 * * * [progress]: picking best candidate 1.725 * * * * [pick]: Picked # 1.725 * * * [progress]: localizing error 1.734 * * * [progress]: generating rewritten candidates 1.734 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.737 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.752 * * * [progress]: generating series expansions 1.752 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.752 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1.752 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1.752 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1.752 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.752 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.752 * [taylor]: Taking taylor expansion of N in N 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [taylor]: Taking taylor expansion of 1 in N 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [taylor]: Taking taylor expansion of N in N 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.753 * [backup-simplify]: Simplify (+ 0 1) into 1 1.753 * [backup-simplify]: Simplify (/ 1 1) into 1 1.754 * [backup-simplify]: Simplify (log 1) into 0 1.754 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1.754 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.754 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.754 * [taylor]: Taking taylor expansion of N in N 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [taylor]: Taking taylor expansion of 1 in N 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [taylor]: Taking taylor expansion of N in N 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (+ 0 1) into 1 1.755 * [backup-simplify]: Simplify (/ 1 1) into 1 1.755 * [backup-simplify]: Simplify (log 1) into 0 1.756 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.756 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.756 * [backup-simplify]: Simplify (+ 1 0) into 1 1.757 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.758 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.758 * [backup-simplify]: Simplify 1 into 1 1.759 * [backup-simplify]: Simplify (+ 0 0) into 0 1.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.761 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.761 * [backup-simplify]: Simplify -1/2 into -1/2 1.761 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1.762 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1.762 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1.762 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1.762 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.762 * [taylor]: Taking taylor expansion of N in N 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 1 into 1 1.762 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.762 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.762 * [taylor]: Taking taylor expansion of N in N 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 1 into 1 1.762 * [backup-simplify]: Simplify (/ 1 1) into 1 1.762 * [taylor]: Taking taylor expansion of 1 in N 1.762 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (+ 1 0) into 1 1.763 * [backup-simplify]: Simplify (* 0 1) into 0 1.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.764 * [backup-simplify]: Simplify (+ 0 1) into 1 1.764 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.764 * [backup-simplify]: Simplify (log 1) into 0 1.764 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1.765 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.765 * [taylor]: Taking taylor expansion of N in N 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.765 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.765 * [taylor]: Taking taylor expansion of N in N 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [backup-simplify]: Simplify (/ 1 1) into 1 1.765 * [taylor]: Taking taylor expansion of 1 in N 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [backup-simplify]: Simplify (+ 1 0) into 1 1.766 * [backup-simplify]: Simplify (* 0 1) into 0 1.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (+ 0 1) into 1 1.767 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.767 * [backup-simplify]: Simplify (log 1) into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (+ 0 0) into 0 1.769 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.769 * [backup-simplify]: Simplify 1 into 1 1.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.770 * [backup-simplify]: Simplify (+ 0 0) into 0 1.771 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1.773 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.773 * [backup-simplify]: Simplify -1/2 into -1/2 1.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.774 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1.777 * [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 1.778 * [backup-simplify]: Simplify 1/3 into 1/3 1.778 * [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)))) 1.778 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1.778 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1.778 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1.778 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.778 * [taylor]: Taking taylor expansion of -1 in N 1.778 * [backup-simplify]: Simplify -1 into -1 1.778 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.779 * [taylor]: Taking taylor expansion of N in N 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.779 * [taylor]: Taking taylor expansion of 1 in N 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.779 * [taylor]: Taking taylor expansion of N in N 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (/ 1 1) into 1 1.780 * [backup-simplify]: Simplify (- 1) into -1 1.780 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.780 * [backup-simplify]: Simplify (* 0 -1) into 0 1.781 * [backup-simplify]: Simplify (* -1 0) into 0 1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (- 0) into 0 1.782 * [backup-simplify]: Simplify (+ 1 0) into 1 1.782 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 1.783 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.783 * [backup-simplify]: Simplify (log 1) into 0 1.783 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1.783 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.783 * [taylor]: Taking taylor expansion of -1 in N 1.783 * [backup-simplify]: Simplify -1 into -1 1.783 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.783 * [taylor]: Taking taylor expansion of N in N 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.783 * [taylor]: Taking taylor expansion of 1 in N 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.783 * [taylor]: Taking taylor expansion of N in N 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [backup-simplify]: Simplify (- 1) into -1 1.784 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.785 * [backup-simplify]: Simplify (* 0 -1) into 0 1.785 * [backup-simplify]: Simplify (* -1 0) into 0 1.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (- 0) into 0 1.786 * [backup-simplify]: Simplify (+ 1 0) into 1 1.786 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 1.787 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.787 * [backup-simplify]: Simplify (log 1) into 0 1.787 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (- 0) into 0 1.788 * [backup-simplify]: Simplify (+ 0 0) into 0 1.789 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1.790 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1.790 * [backup-simplify]: Simplify -1 into -1 1.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.792 * [backup-simplify]: Simplify (- 0) into 0 1.792 * [backup-simplify]: Simplify (+ 0 0) into 0 1.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1.794 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1.796 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.796 * [backup-simplify]: Simplify -1/2 into -1/2 1.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.797 * [backup-simplify]: Simplify (- 0) into 0 1.797 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.799 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1.802 * [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 1.802 * [backup-simplify]: Simplify -1/3 into -1/3 1.802 * [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)))) 1.802 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.802 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 1.802 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1.802 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.802 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.802 * [taylor]: Taking taylor expansion of N in N 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [taylor]: Taking taylor expansion of 1 in N 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [taylor]: Taking taylor expansion of N in N 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (+ 0 1) into 1 1.803 * [backup-simplify]: Simplify (/ 1 1) into 1 1.803 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 1.803 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.803 * [taylor]: Taking taylor expansion of N in N 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [taylor]: Taking taylor expansion of 1 in N 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [taylor]: Taking taylor expansion of N in N 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.804 * [backup-simplify]: Simplify (+ 0 1) into 1 1.804 * [backup-simplify]: Simplify (/ 1 1) into 1 1.804 * [backup-simplify]: Simplify 1 into 1 1.804 * [backup-simplify]: Simplify (+ 1 0) into 1 1.805 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.805 * [backup-simplify]: Simplify 1 into 1 1.805 * [backup-simplify]: Simplify (+ 0 0) into 0 1.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify (+ 0 0) into 0 1.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.806 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify (+ 0 0) into 0 1.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify (+ 0 0) into 0 1.812 * [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 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (+ 0 0) into 0 1.813 * [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 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1.813 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1.813 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1.813 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.813 * [taylor]: Taking taylor expansion of N in N 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify 1 into 1 1.813 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.813 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.813 * [taylor]: Taking taylor expansion of N in N 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify 1 into 1 1.813 * [backup-simplify]: Simplify (/ 1 1) into 1 1.813 * [taylor]: Taking taylor expansion of 1 in N 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1.814 * [taylor]: Taking taylor expansion of N in N 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.814 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.814 * [taylor]: Taking taylor expansion of N in N 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [backup-simplify]: Simplify (/ 1 1) into 1 1.814 * [taylor]: Taking taylor expansion of 1 in N 1.814 * [backup-simplify]: Simplify 1 into 1 1.815 * [backup-simplify]: Simplify (+ 1 0) into 1 1.815 * [backup-simplify]: Simplify (* 0 1) into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.816 * [backup-simplify]: Simplify (+ 0 1) into 1 1.817 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.817 * [backup-simplify]: Simplify 1 into 1 1.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.818 * [backup-simplify]: Simplify (+ 0 0) into 0 1.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1.819 * [backup-simplify]: Simplify 1 into 1 1.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.821 * [backup-simplify]: Simplify (+ 0 0) into 0 1.822 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1.822 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1.824 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.826 * [backup-simplify]: Simplify (+ 0 0) into 0 1.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1.827 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.828 * [backup-simplify]: Simplify (+ 0 0) into 0 1.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [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 1.831 * [backup-simplify]: Simplify (+ 0 0) into 0 1.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [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 1.833 * [backup-simplify]: Simplify (+ 0 0) into 0 1.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1.834 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1.834 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1.834 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.834 * [taylor]: Taking taylor expansion of -1 in N 1.834 * [backup-simplify]: Simplify -1 into -1 1.834 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.834 * [taylor]: Taking taylor expansion of N in N 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify 1 into 1 1.834 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.834 * [taylor]: Taking taylor expansion of 1 in N 1.834 * [backup-simplify]: Simplify 1 into 1 1.834 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.834 * [taylor]: Taking taylor expansion of N in N 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify 1 into 1 1.834 * [backup-simplify]: Simplify (/ 1 1) into 1 1.835 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1.835 * [taylor]: Taking taylor expansion of -1 in N 1.835 * [backup-simplify]: Simplify -1 into -1 1.835 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1.835 * [taylor]: Taking taylor expansion of N in N 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 1 into 1 1.835 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.835 * [taylor]: Taking taylor expansion of 1 in N 1.835 * [backup-simplify]: Simplify 1 into 1 1.835 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.835 * [taylor]: Taking taylor expansion of N in N 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 1 into 1 1.835 * [backup-simplify]: Simplify (/ 1 1) into 1 1.835 * [backup-simplify]: Simplify (- 1) into -1 1.835 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.836 * [backup-simplify]: Simplify (* 0 -1) into 0 1.836 * [backup-simplify]: Simplify (* -1 0) into 0 1.836 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.837 * [backup-simplify]: Simplify (- 0) into 0 1.837 * [backup-simplify]: Simplify (+ 1 0) into 1 1.837 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 1.838 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.838 * [backup-simplify]: Simplify 1 into 1 1.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.839 * [backup-simplify]: Simplify (- 0) into 0 1.839 * [backup-simplify]: Simplify (+ 0 0) into 0 1.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1.840 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1.840 * [backup-simplify]: Simplify -1 into -1 1.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify (+ 0 0) into 0 1.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1.843 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (- 0) into 0 1.844 * [backup-simplify]: Simplify (+ 0 0) into 0 1.845 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.845 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.846 * [backup-simplify]: Simplify (- 0) into 0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.847 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1.848 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1.848 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.849 * [backup-simplify]: Simplify (- 0) into 0 1.849 * [backup-simplify]: Simplify (+ 0 0) into 0 1.850 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1.851 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1.851 * [backup-simplify]: Simplify 0 into 0 1.852 * [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 1.852 * [backup-simplify]: Simplify (- 0) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1.855 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [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 1.856 * [backup-simplify]: Simplify (- 0) into 0 1.856 * [backup-simplify]: Simplify (+ 0 0) into 0 1.857 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1.858 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1.859 * * * [progress]: simplifying candidates 1.859 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 1.859 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 1.860 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 1.860 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 1.861 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 1.861 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 1.861 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 1.861 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 1.861 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 1.861 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 1.861 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 1.861 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 1.861 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 1.861 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 1.861 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 1.861 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 1.861 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 1.861 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 1.861 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 1.861 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 1.862 * [simplify]: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))), (log (cbrt (/ (+ 1 N) N))), (log (sqrt (/ (+ 1 N) N))), (log (sqrt (/ (+ 1 N) N))), (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))), (log (/ (cbrt (+ 1 N)) (cbrt N))), (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))), (log (/ (cbrt (+ 1 N)) (sqrt N))), (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)), (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)) 1)), (log (/ (sqrt (+ 1 N)) N)), (log (/ 1 (* (cbrt N) (cbrt N)))), (log (/ (+ 1 N) (cbrt N))), (log (/ 1 (sqrt N))), (log (/ (+ 1 N) (sqrt N))), (log (/ 1 1)), (log (/ (+ 1 N) N)), (log (/ 1 (* (cbrt N) (cbrt N)))), (log (/ (+ 1 N) (cbrt N))), (log (/ 1 (sqrt N))), (log (/ (+ 1 N) (sqrt N))), (log (/ 1 1)), (log (/ (+ 1 N) N)), (log 1), (log (/ (+ 1 N) N)), (log (+ 1 N)), (log (/ 1 N)), (log (+ 1 N)), (log N), (log (/ (+ 1 N) N)), (log (log (/ (+ 1 N) N))), (exp (log (/ (+ 1 N) N))), (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))), (cbrt (log (/ (+ 1 N) N))), (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))), (sqrt (log (/ (+ 1 N) N))), (sqrt (log (/ (+ 1 N) N))), (real->posit16 (log (/ (+ 1 N) N))), (- (log (+ 1 N)) (log N)), (log (/ (+ 1 N) N)), (exp (/ (+ 1 N) N)), (/ (* (* (+ 1 N) (+ 1 N)) (+ 1 N)) (* (* N N) N)), (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))), (cbrt (/ (+ 1 N) N)), (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)), (sqrt (/ (+ 1 N) N)), (sqrt (/ (+ 1 N) N)), (- (+ 1 N)), (- N), (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))), (/ (cbrt (+ 1 N)) (cbrt N)), (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)), (/ (cbrt (+ 1 N)) (sqrt N)), (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1), (/ (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)) 1), (/ (sqrt (+ 1 N)) N), (/ 1 (* (cbrt N) (cbrt N))), (/ (+ 1 N) (cbrt N)), (/ 1 (sqrt N)), (/ (+ 1 N) (sqrt N)), (/ 1 1), (/ (+ 1 N) N), (/ 1 (* (cbrt N) (cbrt N))), (/ (+ 1 N) (cbrt N)), (/ 1 (sqrt N)), (/ (+ 1 N) (sqrt N)), (/ 1 1), (/ (+ 1 N) N), (/ 1 N), (/ N (+ 1 N)), (/ (+ 1 N) (* (cbrt N) (cbrt N))), (/ (+ 1 N) (sqrt N)), (/ (+ 1 N) 1), (/ N (cbrt (+ 1 N))), (/ N (sqrt (+ 1 N))), (/ N (+ 1 N)), (/ N (+ 1 N)), (* N (+ (* 1 1) (- (* N N) (* 1 N)))), (* N (- 1 N)), (real->posit16 (/ (+ 1 N) 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) 1.863 * * [simplify]: iteration 1: (102 enodes) 1.921 * * [simplify]: iteration 2: (399 enodes) 2.015 * * [simplify]: iteration 3: (737 enodes) 2.314 * * [simplify]: iteration 4: (1515 enodes) 3.313 * * [simplify]: Extracting #0: cost 65 inf + 0 3.314 * * [simplify]: Extracting #1: cost 327 inf + 2 3.320 * * [simplify]: Extracting #2: cost 724 inf + 3198 3.341 * * [simplify]: Extracting #3: cost 525 inf + 60835 3.384 * * [simplify]: Extracting #4: cost 67 inf + 182085 3.455 * * [simplify]: Extracting #5: cost 4 inf + 200783 3.529 * * [simplify]: Extracting #6: cost 0 inf + 201556 3.573 * [simplify]: Simplified to (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))) (log (/ (cbrt (+ N 1)) (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)))), (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))), (log (/ (sqrt (+ N 1)) N)), (+ (- (log (cbrt N))) (- (log (cbrt N)))), (log (/ (+ N 1) (cbrt N))), (- (log (sqrt N))), (log (/ (+ N 1) (sqrt N))), 0, (log (/ (+ N 1) N)), (+ (- (log (cbrt N))) (- (log (cbrt N)))), (log (/ (+ N 1) (cbrt N))), (- (log (sqrt N))), (log (/ (+ N 1) (sqrt N))), 0, (log (/ (+ N 1) N)), 0, (log (/ (+ N 1) N)), (log (+ N 1)), (- (log N)), (log (+ N 1)), (log N), (log (/ (+ N 1) N)), (log (log (/ (+ N 1) N))), (/ (+ 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) N)), (log (/ (+ N 1) N)), (exp (/ (+ N 1) N)), (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) 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)), (- -1 N), (- N), (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (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))), (/ (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)), (/ (sqrt (+ N 1)) N), (/ 1 (* (cbrt N) (cbrt N))), (/ (+ N 1) (cbrt N)), (/ 1 (sqrt N)), (/ (+ N 1) (sqrt N)), 1, (/ (+ N 1) N), (/ 1 (* (cbrt N) (cbrt N))), (/ (+ N 1) (cbrt N)), (/ 1 (sqrt N)), (/ (+ N 1) (sqrt N)), 1, (/ (+ N 1) N), (/ 1 N), (/ N (+ N 1)), (/ (+ N 1) (* (cbrt N) (cbrt N))), (/ (+ N 1) (sqrt N)), (+ N 1), (/ N (cbrt (+ N 1))), (/ N (sqrt (+ N 1))), (/ N (+ N 1)), (/ N (+ N 1)), (+ N (* N (- (* N N) N))), (- N (* N N)), (real->posit16 (/ (+ 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 N) 1), (+ (/ 1 N) 1), (+ (/ 1 N) 1) 3.576 * * * [progress]: adding candidates to table 4.075 * * [progress]: iteration 3 / 4 4.075 * * * [progress]: picking best candidate 4.078 * * * * [pick]: Picked # 4.078 * * * [progress]: localizing error 4.092 * * * [progress]: generating rewritten candidates 4.093 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.104 * * * [progress]: generating series expansions 4.105 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.105 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 4.105 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 4.105 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 4.105 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.105 * [taylor]: Taking taylor expansion of N in N 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 1 into 1 4.106 * [backup-simplify]: Simplify (/ 1 1) into 1 4.106 * [taylor]: Taking taylor expansion of 1 in N 4.106 * [backup-simplify]: Simplify 1 into 1 4.106 * [backup-simplify]: Simplify (+ 1 0) into 1 4.106 * [backup-simplify]: Simplify (log 1) into 0 4.106 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 4.106 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.106 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.107 * [taylor]: Taking taylor expansion of N in N 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [backup-simplify]: Simplify (/ 1 1) into 1 4.107 * [taylor]: Taking taylor expansion of 1 in N 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [backup-simplify]: Simplify (+ 1 0) into 1 4.108 * [backup-simplify]: Simplify (log 1) into 0 4.108 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.108 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.110 * [backup-simplify]: Simplify (+ 0 1) into 1 4.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.110 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.111 * [backup-simplify]: Simplify (+ 0 0) into 0 4.113 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.113 * [backup-simplify]: Simplify -1/2 into -1/2 4.113 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 4.113 * [backup-simplify]: Simplify (log (+ (/ 1 (/ 1 N)) 1)) into (log (+ N 1)) 4.113 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 4.113 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 4.113 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.113 * [taylor]: Taking taylor expansion of N in N 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [taylor]: Taking taylor expansion of 1 in N 4.113 * [backup-simplify]: Simplify 1 into 1 4.114 * [backup-simplify]: Simplify (+ 0 1) into 1 4.114 * [backup-simplify]: Simplify (log 1) into 0 4.114 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 4.114 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.114 * [taylor]: Taking taylor expansion of N in N 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 1 into 1 4.114 * [taylor]: Taking taylor expansion of 1 in N 4.114 * [backup-simplify]: Simplify 1 into 1 4.114 * [backup-simplify]: Simplify (+ 0 1) into 1 4.115 * [backup-simplify]: Simplify (log 1) into 0 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify (+ 1 0) into 1 4.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.116 * [backup-simplify]: Simplify 1 into 1 4.116 * [backup-simplify]: Simplify (+ 0 0) into 0 4.117 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.117 * [backup-simplify]: Simplify -1/2 into -1/2 4.118 * [backup-simplify]: Simplify (+ 0 0) into 0 4.120 * [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 4.120 * [backup-simplify]: Simplify 1/3 into 1/3 4.121 * [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)))) 4.121 * [backup-simplify]: Simplify (log (+ (/ 1 (/ 1 (- N))) 1)) into (log (- 1 N)) 4.121 * [approximate]: Taking taylor expansion of (log (- 1 N)) in (N) around 0 4.121 * [taylor]: Taking taylor expansion of (log (- 1 N)) in N 4.121 * [taylor]: Taking taylor expansion of (- 1 N) in N 4.121 * [taylor]: Taking taylor expansion of 1 in N 4.121 * [backup-simplify]: Simplify 1 into 1 4.121 * [taylor]: Taking taylor expansion of N in N 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 1 into 1 4.121 * [backup-simplify]: Simplify (- 0) into 0 4.122 * [backup-simplify]: Simplify (+ 1 0) into 1 4.122 * [backup-simplify]: Simplify (log 1) into 0 4.122 * [taylor]: Taking taylor expansion of (log (- 1 N)) in N 4.122 * [taylor]: Taking taylor expansion of (- 1 N) in N 4.122 * [taylor]: Taking taylor expansion of 1 in N 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [taylor]: Taking taylor expansion of N in N 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify (- 0) into 0 4.122 * [backup-simplify]: Simplify (+ 1 0) into 1 4.123 * [backup-simplify]: Simplify (log 1) into 0 4.123 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify (- 1) into -1 4.123 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 4.124 * [backup-simplify]: Simplify -1 into -1 4.124 * [backup-simplify]: Simplify (- 0) into 0 4.124 * [backup-simplify]: Simplify (+ 0 0) into 0 4.126 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.126 * [backup-simplify]: Simplify -1/2 into -1/2 4.126 * [backup-simplify]: Simplify (- 0) into 0 4.126 * [backup-simplify]: Simplify (+ 0 0) into 0 4.129 * [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 4.129 * [backup-simplify]: Simplify -1/3 into -1/3 4.130 * [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)))) 4.130 * * * [progress]: simplifying candidates 4.130 * * * * [progress]: [ 1 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 2 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 3 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 4 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 5 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 6 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 7 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 8 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 9 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 10 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 11 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 12 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 13 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 14 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 15 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 16 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 17 / 20 ] simplifiying candidate #real (real->posit16 (log (+ (/ 1 N) 1)))))> 4.130 * * * * [progress]: [ 18 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 19 / 20 ] simplifiying candidate # 4.130 * * * * [progress]: [ 20 / 20 ] simplifiying candidate # 4.131 * [simplify]: Simplifying (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1)))), (log (cbrt (+ (/ 1 N) 1))), (log (sqrt (+ (/ 1 N) 1))), (log (sqrt (+ (/ 1 N) 1))), (log 1), (log (+ (/ 1 N) 1)), (log 1), (log (+ (/ 1 N) 1)), (log 1), (log (+ (/ 1 N) 1)), (log (+ (pow (/ 1 N) 3) (pow 1 3))), (log (+ (* (/ 1 N) (/ 1 N)) (- (* 1 1) (* (/ 1 N) 1)))), (log (- (* (/ 1 N) (/ 1 N)) (* 1 1))), (log (- (/ 1 N) 1)), (log (+ (/ 1 N) 1)), (log (log (+ (/ 1 N) 1))), (exp (log (+ (/ 1 N) 1))), (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (log (+ (/ 1 N) 1)))), (cbrt (log (+ (/ 1 N) 1))), (* (* (log (+ (/ 1 N) 1)) (log (+ (/ 1 N) 1))) (log (+ (/ 1 N) 1))), (sqrt (log (+ (/ 1 N) 1))), (sqrt (log (+ (/ 1 N) 1))), (real->posit16 (log (+ (/ 1 N) 1))), (- 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)))) 4.131 * * [simplify]: iteration 1: (50 enodes) 4.157 * * [simplify]: iteration 2: (190 enodes) 4.217 * * [simplify]: iteration 3: (299 enodes) 4.300 * * [simplify]: iteration 4: (518 enodes) 4.520 * * [simplify]: iteration 5: (1023 enodes) 4.898 * * [simplify]: Extracting #0: cost 18 inf + 0 4.899 * * [simplify]: Extracting #1: cost 92 inf + 1 4.900 * * [simplify]: Extracting #2: cost 322 inf + 421 4.907 * * [simplify]: Extracting #3: cost 400 inf + 10475 4.922 * * [simplify]: Extracting #4: cost 237 inf + 36125 4.953 * * [simplify]: Extracting #5: cost 123 inf + 70673 4.985 * * [simplify]: Extracting #6: cost 6 inf + 128753 5.020 * * [simplify]: Extracting #7: cost 0 inf + 131479 5.054 * * [simplify]: Extracting #8: cost 0 inf + 130382 5.090 * [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)))), 0, (log (+ 1 (/ 1 N))), 0, (log (+ 1 (/ 1 N))), 0, (log (+ 1 (/ 1 N))), (log (+ (/ (/ 1 N) (* N N)) 1)), (log (+ 1 (* (/ 1 N) (- (/ 1 N) 1)))), (log (- (* (/ 1 N) (/ 1 N)) 1)), (log (- (/ 1 N) 1)), (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)))), (+ N (- (/ (* N N) -2) (log N))), (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))), (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))) 5.091 * * * [progress]: adding candidates to table 5.232 * * [progress]: iteration 4 / 4 5.232 * * * [progress]: picking best candidate 5.235 * * * * [pick]: Picked # 5.235 * * * [progress]: localizing error 5.269 * * * [progress]: generating rewritten candidates 5.269 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.307 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 5.311 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.321 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.351 * * * [progress]: generating series expansions 5.351 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.351 * [backup-simplify]: Simplify (/ (- (/ 1/3 N) 1/2) (* N N)) into (/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) 5.351 * [approximate]: Taking taylor expansion of (/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) in (N) around 0 5.351 * [taylor]: Taking taylor expansion of (/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) in N 5.351 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 5.351 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 5.351 * [taylor]: Taking taylor expansion of 1/3 in N 5.351 * [backup-simplify]: Simplify 1/3 into 1/3 5.351 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.351 * [taylor]: Taking taylor expansion of N in N 5.351 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify 1 into 1 5.352 * [backup-simplify]: Simplify (/ 1 1) into 1 5.352 * [taylor]: Taking taylor expansion of 1/2 in N 5.352 * [backup-simplify]: Simplify 1/2 into 1/2 5.352 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.352 * [taylor]: Taking taylor expansion of N in N 5.352 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify 1 into 1 5.352 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.353 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.353 * [backup-simplify]: Simplify (* 1 1) into 1 5.353 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 5.353 * [taylor]: Taking taylor expansion of (/ (- (* 1/3 (/ 1 N)) 1/2) (pow N 2)) in N 5.353 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 5.353 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 5.353 * [taylor]: Taking taylor expansion of 1/3 in N 5.353 * [backup-simplify]: Simplify 1/3 into 1/3 5.353 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.353 * [taylor]: Taking taylor expansion of N in N 5.353 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify 1 into 1 5.354 * [backup-simplify]: Simplify (/ 1 1) into 1 5.354 * [taylor]: Taking taylor expansion of 1/2 in N 5.354 * [backup-simplify]: Simplify 1/2 into 1/2 5.354 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.354 * [taylor]: Taking taylor expansion of N in N 5.354 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify 1 into 1 5.354 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.354 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.354 * [backup-simplify]: Simplify (* 1 1) into 1 5.355 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 5.355 * [backup-simplify]: Simplify 1/3 into 1/3 5.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.356 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 5.356 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.356 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.357 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1/3 (/ 0 1)))) into -1/2 5.357 * [backup-simplify]: Simplify -1/2 into -1/2 5.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.358 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 5.359 * [backup-simplify]: Simplify (- 0) into 0 5.359 * [backup-simplify]: Simplify (+ 0 0) into 0 5.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 5.360 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.361 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.362 * [backup-simplify]: Simplify (- 0) into 0 5.362 * [backup-simplify]: Simplify (+ 0 0) into 0 5.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.363 * [backup-simplify]: Simplify 0 into 0 5.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.365 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.365 * [backup-simplify]: Simplify (- 0) into 0 5.365 * [backup-simplify]: Simplify (+ 0 0) into 0 5.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.367 * [backup-simplify]: Simplify 0 into 0 5.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.368 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.368 * [backup-simplify]: Simplify (- 0) into 0 5.369 * [backup-simplify]: Simplify (+ 0 0) into 0 5.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.370 * [backup-simplify]: Simplify 0 into 0 5.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.372 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.372 * [backup-simplify]: Simplify (- 0) into 0 5.373 * [backup-simplify]: Simplify (+ 0 0) into 0 5.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.374 * [backup-simplify]: Simplify 0 into 0 5.375 * [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 5.376 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.376 * [backup-simplify]: Simplify (- 0) into 0 5.377 * [backup-simplify]: Simplify (+ 0 0) into 0 5.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.378 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3))) into (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) 5.379 * [backup-simplify]: Simplify (/ (- (/ 1/3 (/ 1 N)) 1/2) (* (/ 1 N) (/ 1 N))) into (* (- (* 1/3 N) 1/2) (pow N 2)) 5.379 * [approximate]: Taking taylor expansion of (* (- (* 1/3 N) 1/2) (pow N 2)) in (N) around 0 5.379 * [taylor]: Taking taylor expansion of (* (- (* 1/3 N) 1/2) (pow N 2)) in N 5.379 * [taylor]: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 5.379 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 5.379 * [taylor]: Taking taylor expansion of 1/3 in N 5.379 * [backup-simplify]: Simplify 1/3 into 1/3 5.379 * [taylor]: Taking taylor expansion of N in N 5.379 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify 1 into 1 5.379 * [taylor]: Taking taylor expansion of 1/2 in N 5.379 * [backup-simplify]: Simplify 1/2 into 1/2 5.379 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.379 * [taylor]: Taking taylor expansion of N in N 5.379 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify 1 into 1 5.379 * [taylor]: Taking taylor expansion of (* (- (* 1/3 N) 1/2) (pow N 2)) in N 5.379 * [taylor]: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 5.379 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 5.379 * [taylor]: Taking taylor expansion of 1/3 in N 5.379 * [backup-simplify]: Simplify 1/3 into 1/3 5.379 * [taylor]: Taking taylor expansion of N in N 5.379 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify 1 into 1 5.379 * [taylor]: Taking taylor expansion of 1/2 in N 5.379 * [backup-simplify]: Simplify 1/2 into 1/2 5.379 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.379 * [taylor]: Taking taylor expansion of N in N 5.379 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify 1 into 1 5.380 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.380 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.380 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.380 * [backup-simplify]: Simplify (* 1 1) into 1 5.381 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 5.381 * [backup-simplify]: Simplify -1/2 into -1/2 5.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.381 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.382 * [backup-simplify]: Simplify (- 0) into 0 5.382 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.382 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 1/3 1)) into 1/3 5.382 * [backup-simplify]: Simplify 1/3 into 1/3 5.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.384 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 5.384 * [backup-simplify]: Simplify (- 0) into 0 5.384 * [backup-simplify]: Simplify (+ 0 0) into 0 5.385 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 1/3 0) (* 0 1))) into 0 5.385 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.386 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.386 * [backup-simplify]: Simplify (- 0) into 0 5.386 * [backup-simplify]: Simplify (+ 0 0) into 0 5.387 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 1/3 0) (+ (* 0 0) (* 0 1)))) into 0 5.387 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.389 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.389 * [backup-simplify]: Simplify (- 0) into 0 5.389 * [backup-simplify]: Simplify (+ 0 0) into 0 5.390 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.390 * [backup-simplify]: Simplify 0 into 0 5.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.392 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.393 * [backup-simplify]: Simplify (- 0) into 0 5.393 * [backup-simplify]: Simplify (+ 0 0) into 0 5.394 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.394 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.396 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.396 * [backup-simplify]: Simplify (- 0) into 0 5.396 * [backup-simplify]: Simplify (+ 0 0) into 0 5.397 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.397 * [backup-simplify]: Simplify 0 into 0 5.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.399 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.399 * [backup-simplify]: Simplify (- 0) into 0 5.400 * [backup-simplify]: Simplify (+ 0 0) into 0 5.401 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.401 * [backup-simplify]: Simplify 0 into 0 5.401 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (* -1/2 (pow (/ 1 N) 2))) into (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) 5.401 * [backup-simplify]: Simplify (/ (- (/ 1/3 (/ 1 (- N))) 1/2) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1 (* (pow N 2) (+ (* 1/3 N) 1/2))) 5.401 * [approximate]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 1/3 N) 1/2))) in (N) around 0 5.401 * [taylor]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 1/3 N) 1/2))) in N 5.401 * [taylor]: Taking taylor expansion of -1 in N 5.401 * [backup-simplify]: Simplify -1 into -1 5.401 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 1/3 N) 1/2)) in N 5.401 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.401 * [taylor]: Taking taylor expansion of N in N 5.401 * [backup-simplify]: Simplify 0 into 0 5.401 * [backup-simplify]: Simplify 1 into 1 5.401 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 5.401 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 5.401 * [taylor]: Taking taylor expansion of 1/3 in N 5.401 * [backup-simplify]: Simplify 1/3 into 1/3 5.401 * [taylor]: Taking taylor expansion of N in N 5.401 * [backup-simplify]: Simplify 0 into 0 5.401 * [backup-simplify]: Simplify 1 into 1 5.402 * [taylor]: Taking taylor expansion of 1/2 in N 5.402 * [backup-simplify]: Simplify 1/2 into 1/2 5.402 * [taylor]: Taking taylor expansion of (* -1 (* (pow N 2) (+ (* 1/3 N) 1/2))) in N 5.402 * [taylor]: Taking taylor expansion of -1 in N 5.402 * [backup-simplify]: Simplify -1 into -1 5.402 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 1/3 N) 1/2)) in N 5.402 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.402 * [taylor]: Taking taylor expansion of N in N 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify 1 into 1 5.402 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 5.402 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 5.402 * [taylor]: Taking taylor expansion of 1/3 in N 5.402 * [backup-simplify]: Simplify 1/3 into 1/3 5.402 * [taylor]: Taking taylor expansion of N in N 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify 1 into 1 5.402 * [taylor]: Taking taylor expansion of 1/2 in N 5.402 * [backup-simplify]: Simplify 1/2 into 1/2 5.402 * [backup-simplify]: Simplify (* 1 1) into 1 5.402 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.403 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.403 * [backup-simplify]: Simplify (* 1 1/2) into 1/2 5.403 * [backup-simplify]: Simplify (* -1 1/2) into -1/2 5.403 * [backup-simplify]: Simplify -1/2 into -1/2 5.404 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.404 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.405 * [backup-simplify]: Simplify (+ (* 1 1/3) (* 0 1/2)) into 1/3 5.405 * [backup-simplify]: Simplify (+ (* -1 1/3) (* 0 1/2)) into -1/3 5.405 * [backup-simplify]: Simplify -1/3 into -1/3 5.406 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 5.407 * [backup-simplify]: Simplify (+ 0 0) into 0 5.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (* 0 1/2))) into 0 5.410 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1/3) (* 0 1/2))) into 0 5.410 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.411 * [backup-simplify]: Simplify (+ 0 0) into 0 5.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1/3) (* 0 1/2)))) into 0 5.415 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1/3) (* 0 1/2)))) into 0 5.415 * [backup-simplify]: Simplify 0 into 0 5.417 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.418 * [backup-simplify]: Simplify (+ 0 0) into 0 5.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (* 0 1/2))))) into 0 5.422 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (* 0 1/2))))) into 0 5.422 * [backup-simplify]: Simplify 0 into 0 5.424 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.424 * [backup-simplify]: Simplify (+ 0 0) into 0 5.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (* 0 1/2)))))) into 0 5.429 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (* 0 1/2)))))) into 0 5.429 * [backup-simplify]: Simplify 0 into 0 5.431 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.432 * [backup-simplify]: Simplify (+ 0 0) into 0 5.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (* 0 1/2))))))) into 0 5.437 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (* 0 1/2))))))) into 0 5.437 * [backup-simplify]: Simplify 0 into 0 5.439 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.440 * [backup-simplify]: Simplify (+ 0 0) into 0 5.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (* 0 1/2)))))))) into 0 5.446 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (* 0 1/2)))))))) into 0 5.446 * [backup-simplify]: Simplify 0 into 0 5.447 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (* -1/2 (pow (/ 1 (- N)) 2))) into (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) 5.447 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 5.447 * [backup-simplify]: Simplify (/ 1/3 N) into (/ 1/3 N) 5.447 * [approximate]: Taking taylor expansion of (/ 1/3 N) in (N) around 0 5.447 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 5.447 * [taylor]: Taking taylor expansion of 1/3 in N 5.447 * [backup-simplify]: Simplify 1/3 into 1/3 5.447 * [taylor]: Taking taylor expansion of N in N 5.447 * [backup-simplify]: Simplify 0 into 0 5.447 * [backup-simplify]: Simplify 1 into 1 5.447 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 5.447 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 5.447 * [taylor]: Taking taylor expansion of 1/3 in N 5.447 * [backup-simplify]: Simplify 1/3 into 1/3 5.448 * [taylor]: Taking taylor expansion of N in N 5.448 * [backup-simplify]: Simplify 0 into 0 5.448 * [backup-simplify]: Simplify 1 into 1 5.448 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 5.448 * [backup-simplify]: Simplify 1/3 into 1/3 5.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 5.449 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.450 * [backup-simplify]: Simplify 0 into 0 5.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.451 * [backup-simplify]: Simplify 0 into 0 5.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.452 * [backup-simplify]: Simplify 0 into 0 5.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.454 * [backup-simplify]: Simplify 0 into 0 5.457 * [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 5.457 * [backup-simplify]: Simplify 0 into 0 5.457 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 5.457 * [backup-simplify]: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 5.457 * [approximate]: Taking taylor expansion of (* 1/3 N) in (N) around 0 5.457 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 5.457 * [taylor]: Taking taylor expansion of 1/3 in N 5.457 * [backup-simplify]: Simplify 1/3 into 1/3 5.457 * [taylor]: Taking taylor expansion of N in N 5.457 * [backup-simplify]: Simplify 0 into 0 5.457 * [backup-simplify]: Simplify 1 into 1 5.457 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 5.457 * [taylor]: Taking taylor expansion of 1/3 in N 5.457 * [backup-simplify]: Simplify 1/3 into 1/3 5.457 * [taylor]: Taking taylor expansion of N in N 5.457 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify 1 into 1 5.458 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.458 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.459 * [backup-simplify]: Simplify 1/3 into 1/3 5.460 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 5.460 * [backup-simplify]: Simplify 0 into 0 5.461 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.461 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.463 * [backup-simplify]: Simplify 0 into 0 5.465 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.465 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.466 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.469 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 5.469 * [backup-simplify]: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 5.469 * [approximate]: Taking taylor expansion of (* -1/3 N) in (N) around 0 5.469 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 5.469 * [taylor]: Taking taylor expansion of -1/3 in N 5.469 * [backup-simplify]: Simplify -1/3 into -1/3 5.469 * [taylor]: Taking taylor expansion of N in N 5.469 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify 1 into 1 5.469 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 5.469 * [taylor]: Taking taylor expansion of -1/3 in N 5.469 * [backup-simplify]: Simplify -1/3 into -1/3 5.469 * [taylor]: Taking taylor expansion of N in N 5.469 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify 1 into 1 5.470 * [backup-simplify]: Simplify (* -1/3 0) into 0 5.470 * [backup-simplify]: Simplify 0 into 0 5.471 * [backup-simplify]: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 5.471 * [backup-simplify]: Simplify -1/3 into -1/3 5.472 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 5.472 * [backup-simplify]: Simplify 0 into 0 5.473 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.473 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.476 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.476 * [backup-simplify]: Simplify 0 into 0 5.478 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.478 * [backup-simplify]: Simplify 0 into 0 5.480 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.480 * [backup-simplify]: Simplify 0 into 0 5.480 * [backup-simplify]: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 5.481 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.481 * [backup-simplify]: Simplify (- (/ 1/3 N) 1/2) into (- (* 1/3 (/ 1 N)) 1/2) 5.481 * [approximate]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in (N) around 0 5.481 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 5.481 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 5.481 * [taylor]: Taking taylor expansion of 1/3 in N 5.481 * [backup-simplify]: Simplify 1/3 into 1/3 5.481 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.481 * [taylor]: Taking taylor expansion of N in N 5.481 * [backup-simplify]: Simplify 0 into 0 5.481 * [backup-simplify]: Simplify 1 into 1 5.481 * [backup-simplify]: Simplify (/ 1 1) into 1 5.481 * [taylor]: Taking taylor expansion of 1/2 in N 5.481 * [backup-simplify]: Simplify 1/2 into 1/2 5.481 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 N)) 1/2) in N 5.482 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 5.482 * [taylor]: Taking taylor expansion of 1/3 in N 5.482 * [backup-simplify]: Simplify 1/3 into 1/3 5.482 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.482 * [taylor]: Taking taylor expansion of N in N 5.482 * [backup-simplify]: Simplify 0 into 0 5.482 * [backup-simplify]: Simplify 1 into 1 5.482 * [backup-simplify]: Simplify (/ 1 1) into 1 5.482 * [taylor]: Taking taylor expansion of 1/2 in N 5.482 * [backup-simplify]: Simplify 1/2 into 1/2 5.482 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.483 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.483 * [backup-simplify]: Simplify 1/3 into 1/3 5.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.484 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 5.484 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.484 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.484 * [backup-simplify]: Simplify -1/2 into -1/2 5.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.485 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 5.486 * [backup-simplify]: Simplify (- 0) into 0 5.486 * [backup-simplify]: Simplify (+ 0 0) into 0 5.486 * [backup-simplify]: Simplify 0 into 0 5.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.487 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.487 * [backup-simplify]: Simplify (- 0) into 0 5.488 * [backup-simplify]: Simplify (+ 0 0) into 0 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.489 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.489 * [backup-simplify]: Simplify (- 0) into 0 5.489 * [backup-simplify]: Simplify (+ 0 0) into 0 5.489 * [backup-simplify]: Simplify 0 into 0 5.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.491 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.491 * [backup-simplify]: Simplify (- 0) into 0 5.491 * [backup-simplify]: Simplify (+ 0 0) into 0 5.491 * [backup-simplify]: Simplify 0 into 0 5.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.493 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.493 * [backup-simplify]: Simplify (- 0) into 0 5.493 * [backup-simplify]: Simplify (+ 0 0) into 0 5.493 * [backup-simplify]: Simplify 0 into 0 5.494 * [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 5.495 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.495 * [backup-simplify]: Simplify (- 0) into 0 5.495 * [backup-simplify]: Simplify (+ 0 0) into 0 5.495 * [backup-simplify]: Simplify 0 into 0 5.496 * [backup-simplify]: Simplify (+ -1/2 (* 1/3 (/ 1 N))) into (- (* 1/3 (/ 1 N)) 1/2) 5.496 * [backup-simplify]: Simplify (- (/ 1/3 (/ 1 N)) 1/2) into (- (* 1/3 N) 1/2) 5.496 * [approximate]: Taking taylor expansion of (- (* 1/3 N) 1/2) in (N) around 0 5.496 * [taylor]: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 5.496 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 5.496 * [taylor]: Taking taylor expansion of 1/3 in N 5.496 * [backup-simplify]: Simplify 1/3 into 1/3 5.496 * [taylor]: Taking taylor expansion of N in N 5.496 * [backup-simplify]: Simplify 0 into 0 5.496 * [backup-simplify]: Simplify 1 into 1 5.496 * [taylor]: Taking taylor expansion of 1/2 in N 5.496 * [backup-simplify]: Simplify 1/2 into 1/2 5.496 * [taylor]: Taking taylor expansion of (- (* 1/3 N) 1/2) in N 5.496 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 5.496 * [taylor]: Taking taylor expansion of 1/3 in N 5.496 * [backup-simplify]: Simplify 1/3 into 1/3 5.496 * [taylor]: Taking taylor expansion of N in N 5.496 * [backup-simplify]: Simplify 0 into 0 5.496 * [backup-simplify]: Simplify 1 into 1 5.496 * [taylor]: Taking taylor expansion of 1/2 in N 5.496 * [backup-simplify]: Simplify 1/2 into 1/2 5.496 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.497 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.497 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.497 * [backup-simplify]: Simplify -1/2 into -1/2 5.497 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.498 * [backup-simplify]: Simplify (- 0) into 0 5.498 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.498 * [backup-simplify]: Simplify 1/3 into 1/3 5.499 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 5.499 * [backup-simplify]: Simplify (- 0) into 0 5.499 * [backup-simplify]: Simplify (+ 0 0) into 0 5.499 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.500 * [backup-simplify]: Simplify (- 0) into 0 5.500 * [backup-simplify]: Simplify (+ 0 0) into 0 5.500 * [backup-simplify]: Simplify 0 into 0 5.501 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.501 * [backup-simplify]: Simplify (- 0) into 0 5.502 * [backup-simplify]: Simplify (+ 0 0) into 0 5.502 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.503 * [backup-simplify]: Simplify (- 0) into 0 5.503 * [backup-simplify]: Simplify (+ 0 0) into 0 5.503 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.504 * [backup-simplify]: Simplify (- 0) into 0 5.504 * [backup-simplify]: Simplify (+ 0 0) into 0 5.504 * [backup-simplify]: Simplify 0 into 0 5.505 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.506 * [backup-simplify]: Simplify (- 0) into 0 5.506 * [backup-simplify]: Simplify (+ 0 0) into 0 5.506 * [backup-simplify]: Simplify 0 into 0 5.506 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 N)) -1/2) into (- (* 1/3 (/ 1 N)) 1/2) 5.506 * [backup-simplify]: Simplify (- (/ 1/3 (/ 1 (- N))) 1/2) into (- (+ (* 1/3 N) 1/2)) 5.506 * [approximate]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in (N) around 0 5.506 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 5.506 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 5.506 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 5.506 * [taylor]: Taking taylor expansion of 1/3 in N 5.506 * [backup-simplify]: Simplify 1/3 into 1/3 5.506 * [taylor]: Taking taylor expansion of N in N 5.506 * [backup-simplify]: Simplify 0 into 0 5.506 * [backup-simplify]: Simplify 1 into 1 5.506 * [taylor]: Taking taylor expansion of 1/2 in N 5.506 * [backup-simplify]: Simplify 1/2 into 1/2 5.506 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 N) 1/2)) in N 5.506 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 5.506 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 5.506 * [taylor]: Taking taylor expansion of 1/3 in N 5.506 * [backup-simplify]: Simplify 1/3 into 1/3 5.506 * [taylor]: Taking taylor expansion of N in N 5.506 * [backup-simplify]: Simplify 0 into 0 5.506 * [backup-simplify]: Simplify 1 into 1 5.506 * [taylor]: Taking taylor expansion of 1/2 in N 5.506 * [backup-simplify]: Simplify 1/2 into 1/2 5.507 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.507 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.507 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.507 * [backup-simplify]: Simplify -1/2 into -1/2 5.508 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.508 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.508 * [backup-simplify]: Simplify (- 1/3) into -1/3 5.508 * [backup-simplify]: Simplify -1/3 into -1/3 5.509 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 5.509 * [backup-simplify]: Simplify (+ 0 0) into 0 5.509 * [backup-simplify]: Simplify (- 0) into 0 5.509 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.510 * [backup-simplify]: Simplify (+ 0 0) into 0 5.510 * [backup-simplify]: Simplify (- 0) into 0 5.511 * [backup-simplify]: Simplify 0 into 0 5.511 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.511 * [backup-simplify]: Simplify (+ 0 0) into 0 5.512 * [backup-simplify]: Simplify (- 0) into 0 5.512 * [backup-simplify]: Simplify 0 into 0 5.513 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.513 * [backup-simplify]: Simplify (+ 0 0) into 0 5.513 * [backup-simplify]: Simplify (- 0) into 0 5.513 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.515 * [backup-simplify]: Simplify (+ 0 0) into 0 5.515 * [backup-simplify]: Simplify (- 0) into 0 5.515 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.518 * [backup-simplify]: Simplify (+ 0 0) into 0 5.518 * [backup-simplify]: Simplify (- 0) into 0 5.518 * [backup-simplify]: Simplify 0 into 0 5.518 * [backup-simplify]: Simplify (+ (* -1/3 (/ 1 (- N))) -1/2) into (- (* 1/3 (/ 1 N)) 1/2) 5.518 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.519 * [backup-simplify]: Simplify (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 5.519 * [approximate]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 5.519 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 5.519 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 5.519 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.519 * [taylor]: Taking taylor expansion of N in N 5.519 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify 1 into 1 5.519 * [backup-simplify]: Simplify (/ 1 1) into 1 5.519 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 5.519 * [taylor]: Taking taylor expansion of 1/3 in N 5.519 * [backup-simplify]: Simplify 1/3 into 1/3 5.519 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.519 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.519 * [taylor]: Taking taylor expansion of N in N 5.519 * [backup-simplify]: Simplify 0 into 0 5.520 * [backup-simplify]: Simplify 1 into 1 5.520 * [backup-simplify]: Simplify (* 1 1) into 1 5.521 * [backup-simplify]: Simplify (* 1 1) into 1 5.521 * [backup-simplify]: Simplify (/ 1 1) into 1 5.521 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 5.521 * [taylor]: Taking taylor expansion of 1/2 in N 5.521 * [backup-simplify]: Simplify 1/2 into 1/2 5.521 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.521 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.521 * [taylor]: Taking taylor expansion of N in N 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify 1 into 1 5.521 * [backup-simplify]: Simplify (* 1 1) into 1 5.522 * [backup-simplify]: Simplify (/ 1 1) into 1 5.522 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 5.522 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 5.522 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.522 * [taylor]: Taking taylor expansion of N in N 5.522 * [backup-simplify]: Simplify 0 into 0 5.522 * [backup-simplify]: Simplify 1 into 1 5.522 * [backup-simplify]: Simplify (/ 1 1) into 1 5.522 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 5.522 * [taylor]: Taking taylor expansion of 1/3 in N 5.523 * [backup-simplify]: Simplify 1/3 into 1/3 5.523 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.523 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.523 * [taylor]: Taking taylor expansion of N in N 5.523 * [backup-simplify]: Simplify 0 into 0 5.523 * [backup-simplify]: Simplify 1 into 1 5.523 * [backup-simplify]: Simplify (* 1 1) into 1 5.523 * [backup-simplify]: Simplify (* 1 1) into 1 5.524 * [backup-simplify]: Simplify (/ 1 1) into 1 5.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 5.524 * [taylor]: Taking taylor expansion of 1/2 in N 5.524 * [backup-simplify]: Simplify 1/2 into 1/2 5.524 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.524 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.524 * [taylor]: Taking taylor expansion of N in N 5.524 * [backup-simplify]: Simplify 0 into 0 5.524 * [backup-simplify]: Simplify 1 into 1 5.525 * [backup-simplify]: Simplify (* 1 1) into 1 5.525 * [backup-simplify]: Simplify (/ 1 1) into 1 5.526 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.526 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 5.526 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.526 * [backup-simplify]: Simplify 1/3 into 1/3 5.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.529 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 5.530 * [backup-simplify]: Simplify (+ 0 0) into 0 5.530 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.531 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.531 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.531 * [backup-simplify]: Simplify -1/2 into -1/2 5.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.535 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 5.535 * [backup-simplify]: Simplify (+ 1 0) into 1 5.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.538 * [backup-simplify]: Simplify (- 0) into 0 5.538 * [backup-simplify]: Simplify (+ 1 0) into 1 5.538 * [backup-simplify]: Simplify 1 into 1 5.539 * [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)))) 5.539 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 N)) (/ (- (/ 1/3 (/ 1 N)) 1/2) (* (/ 1 N) (/ 1 N)))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 5.539 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 5.539 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 5.539 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 5.539 * [taylor]: Taking taylor expansion of N in N 5.539 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify 1 into 1 5.539 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.540 * [taylor]: Taking taylor expansion of 1/3 in N 5.540 * [backup-simplify]: Simplify 1/3 into 1/3 5.540 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.540 * [taylor]: Taking taylor expansion of N in N 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.540 * [taylor]: Taking taylor expansion of 1/2 in N 5.540 * [backup-simplify]: Simplify 1/2 into 1/2 5.540 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.540 * [taylor]: Taking taylor expansion of N in N 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 5.540 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 5.540 * [taylor]: Taking taylor expansion of N in N 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.540 * [taylor]: Taking taylor expansion of 1/3 in N 5.540 * [backup-simplify]: Simplify 1/3 into 1/3 5.540 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.540 * [taylor]: Taking taylor expansion of N in N 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.540 * [taylor]: Taking taylor expansion of 1/2 in N 5.540 * [backup-simplify]: Simplify 1/2 into 1/2 5.540 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.540 * [taylor]: Taking taylor expansion of N in N 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 1 into 1 5.541 * [backup-simplify]: Simplify (+ 0 0) into 0 5.541 * [backup-simplify]: Simplify (+ 0 0) into 0 5.541 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify (+ 1 0) into 1 5.542 * [backup-simplify]: Simplify (+ 1 0) into 1 5.542 * [backup-simplify]: Simplify 1 into 1 5.543 * [backup-simplify]: Simplify (+ 0 0) into 0 5.543 * [backup-simplify]: Simplify (* 1 1) into 1 5.543 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.544 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.544 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.544 * [backup-simplify]: Simplify -1/2 into -1/2 5.545 * [backup-simplify]: Simplify (* 1 1) into 1 5.545 * [backup-simplify]: Simplify (* 1 1) into 1 5.545 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.546 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 5.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.548 * [backup-simplify]: Simplify (- 0) into 0 5.548 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.548 * [backup-simplify]: Simplify 1/3 into 1/3 5.549 * [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)))) 5.549 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 (- N))) (/ (- (/ 1/3 (/ 1 (- N))) 1/2) (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) 5.549 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in (N) around 0 5.549 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 5.549 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 5.549 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.549 * [taylor]: Taking taylor expansion of 1/2 in N 5.549 * [backup-simplify]: Simplify 1/2 into 1/2 5.549 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.549 * [taylor]: Taking taylor expansion of N in N 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify 1 into 1 5.549 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 5.549 * [taylor]: Taking taylor expansion of N in N 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify 1 into 1 5.549 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.549 * [taylor]: Taking taylor expansion of 1/3 in N 5.549 * [backup-simplify]: Simplify 1/3 into 1/3 5.550 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.550 * [taylor]: Taking taylor expansion of N in N 5.550 * [backup-simplify]: Simplify 0 into 0 5.550 * [backup-simplify]: Simplify 1 into 1 5.550 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 5.550 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 5.550 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.550 * [taylor]: Taking taylor expansion of 1/2 in N 5.550 * [backup-simplify]: Simplify 1/2 into 1/2 5.550 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.550 * [taylor]: Taking taylor expansion of N in N 5.550 * [backup-simplify]: Simplify 0 into 0 5.550 * [backup-simplify]: Simplify 1 into 1 5.550 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 5.550 * [taylor]: Taking taylor expansion of N in N 5.550 * [backup-simplify]: Simplify 0 into 0 5.550 * [backup-simplify]: Simplify 1 into 1 5.550 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.550 * [taylor]: Taking taylor expansion of 1/3 in N 5.550 * [backup-simplify]: Simplify 1/3 into 1/3 5.550 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.550 * [taylor]: Taking taylor expansion of N in N 5.550 * [backup-simplify]: Simplify 0 into 0 5.550 * [backup-simplify]: Simplify 1 into 1 5.551 * [backup-simplify]: Simplify (+ 0 0) into 0 5.551 * [backup-simplify]: Simplify (+ 0 0) into 0 5.551 * [backup-simplify]: Simplify (- 0) into 0 5.551 * [backup-simplify]: Simplify 0 into 0 5.552 * [backup-simplify]: Simplify (+ 1 0) into 1 5.552 * [backup-simplify]: Simplify (+ 0 1) into 1 5.553 * [backup-simplify]: Simplify (- 1) into -1 5.553 * [backup-simplify]: Simplify -1 into -1 5.553 * [backup-simplify]: Simplify (* 1 1) into 1 5.554 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.554 * [backup-simplify]: Simplify (+ 0 0) into 0 5.555 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.555 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.555 * [backup-simplify]: Simplify -1/2 into -1/2 5.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.557 * [backup-simplify]: Simplify (* 1 1) into 1 5.558 * [backup-simplify]: Simplify (* 1 1) into 1 5.558 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.559 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 5.559 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 5.559 * [backup-simplify]: Simplify (- 1/3) into -1/3 5.559 * [backup-simplify]: Simplify -1/3 into -1/3 5.560 * [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)))) 5.560 * * * [progress]: simplifying candidates 5.560 * * * * [progress]: [ 1 / 103 ] simplifiying candidate # 5.560 * * * * [progress]: [ 2 / 103 ] simplifiying candidate # 5.560 * * * * [progress]: [ 3 / 103 ] simplifiying candidate # 5.560 * * * * [progress]: [ 4 / 103 ] simplifiying candidate # 5.560 * * * * [progress]: [ 5 / 103 ] simplifiying candidate # 5.560 * * * * [progress]: [ 6 / 103 ] simplifiying candidate # 5.561 * * * * [progress]: [ 7 / 103 ] simplifiying candidate # 5.561 * * * * [progress]: [ 8 / 103 ] simplifiying candidate # 5.561 * * * * [progress]: [ 9 / 103 ] simplifiying candidate # 5.561 * * * * [progress]: [ 10 / 103 ] simplifiying candidate # 5.561 * * * * [progress]: [ 11 / 103 ] simplifiying candidate # 5.561 * * * * [progress]: [ 12 / 103 ] simplifiying candidate # 5.561 * * * * [progress]: [ 13 / 103 ] simplifiying candidate # 5.561 * * * * [progress]: [ 14 / 103 ] simplifiying candidate # 5.561 * * * * [progress]: [ 15 / 103 ] simplifiying candidate # 5.561 * * * * [progress]: [ 16 / 103 ] simplifiying candidate # 5.561 * * * * [progress]: [ 17 / 103 ] simplifiying candidate # 5.561 * * * * [progress]: [ 18 / 103 ] simplifiying candidate # 5.561 * * * * [progress]: [ 19 / 103 ] simplifiying candidate # 5.561 * * * * [progress]: [ 20 / 103 ] simplifiying candidate # 5.561 * * * * [progress]: [ 21 / 103 ] simplifiying candidate # 5.562 * * * * [progress]: [ 22 / 103 ] simplifiying candidate # 5.562 * * * * [progress]: [ 23 / 103 ] simplifiying candidate # 5.562 * * * * [progress]: [ 24 / 103 ] simplifiying candidate # 5.562 * * * * [progress]: [ 25 / 103 ] simplifiying candidate # 5.562 * * * * [progress]: [ 26 / 103 ] simplifiying candidate # 5.562 * * * * [progress]: [ 27 / 103 ] simplifiying candidate # 5.562 * * * * [progress]: [ 28 / 103 ] simplifiying candidate # 5.562 * * * * [progress]: [ 29 / 103 ] simplifiying candidate # 5.562 * * * * [progress]: [ 30 / 103 ] simplifiying candidate # 5.562 * * * * [progress]: [ 31 / 103 ] simplifiying candidate #real (real->posit16 (/ (- (/ 1/3 N) 1/2) (* N N))))))> 5.562 * * * * [progress]: [ 32 / 103 ] simplifiying candidate # 5.562 * * * * [progress]: [ 33 / 103 ] simplifiying candidate # 5.562 * * * * [progress]: [ 34 / 103 ] simplifiying candidate # 5.562 * * * * [progress]: [ 35 / 103 ] simplifiying candidate # 5.563 * * * * [progress]: [ 36 / 103 ] simplifiying candidate # 5.563 * * * * [progress]: [ 37 / 103 ] simplifiying candidate # 5.563 * * * * [progress]: [ 38 / 103 ] simplifiying candidate # 5.563 * * * * [progress]: [ 39 / 103 ] simplifiying candidate # 5.563 * * * * [progress]: [ 40 / 103 ] simplifiying candidate # 5.563 * * * * [progress]: [ 41 / 103 ] simplifiying candidate # 5.563 * * * * [progress]: [ 42 / 103 ] simplifiying candidate # 5.563 * * * * [progress]: [ 43 / 103 ] simplifiying candidate # 5.563 * * * * [progress]: [ 44 / 103 ] simplifiying candidate # 5.563 * * * * [progress]: [ 45 / 103 ] simplifiying candidate # 5.563 * * * * [progress]: [ 46 / 103 ] simplifiying candidate # 5.563 * * * * [progress]: [ 47 / 103 ] simplifiying candidate # 5.563 * * * * [progress]: [ 48 / 103 ] simplifiying candidate # 5.563 * * * * [progress]: [ 49 / 103 ] simplifiying candidate # 5.563 * * * * [progress]: [ 50 / 103 ] simplifiying candidate # 5.563 * * * * [progress]: [ 51 / 103 ] simplifiying candidate # 5.564 * * * * [progress]: [ 52 / 103 ] simplifiying candidate # 5.564 * * * * [progress]: [ 53 / 103 ] simplifiying candidate # 5.564 * * * * [progress]: [ 54 / 103 ] simplifiying candidate # 5.564 * * * * [progress]: [ 55 / 103 ] simplifiying candidate # 5.564 * * * * [progress]: [ 56 / 103 ] simplifiying candidate # 5.564 * * * * [progress]: [ 57 / 103 ] simplifiying candidate # 5.564 * * * * [progress]: [ 58 / 103 ] simplifiying candidate # 5.564 * * * * [progress]: [ 59 / 103 ] simplifiying candidate #real (real->posit16 (/ 1/3 N))) 1/2) (* N N))))> 5.564 * * * * [progress]: [ 60 / 103 ] simplifiying candidate # 5.564 * * * * [progress]: [ 61 / 103 ] simplifiying candidate # 5.564 * * * * [progress]: [ 62 / 103 ] simplifiying candidate # 5.564 * * * * [progress]: [ 63 / 103 ] simplifiying candidate # 5.564 * * * * [progress]: [ 64 / 103 ] simplifiying candidate # 5.564 * * * * [progress]: [ 65 / 103 ] simplifiying candidate # 5.564 * * * * [progress]: [ 66 / 103 ] simplifiying candidate # 5.565 * * * * [progress]: [ 67 / 103 ] simplifiying candidate # 5.565 * * * * [progress]: [ 68 / 103 ] simplifiying candidate # 5.565 * * * * [progress]: [ 69 / 103 ] simplifiying candidate # 5.565 * * * * [progress]: [ 70 / 103 ] simplifiying candidate # 5.565 * * * * [progress]: [ 71 / 103 ] simplifiying candidate # 5.565 * * * * [progress]: [ 72 / 103 ] simplifiying candidate # 5.565 * * * * [progress]: [ 73 / 103 ] simplifiying candidate # 5.565 * * * * [progress]: [ 74 / 103 ] simplifiying candidate # 5.565 * * * * [progress]: [ 75 / 103 ] simplifiying candidate #real (real->posit16 (- (/ 1/3 N) 1/2))) (* N N))))> 5.565 * * * * [progress]: [ 76 / 103 ] simplifiying candidate # 5.565 * * * * [progress]: [ 77 / 103 ] simplifiying candidate # 5.565 * * * * [progress]: [ 78 / 103 ] simplifiying candidate # 5.565 * * * * [progress]: [ 79 / 103 ] simplifiying candidate # 5.565 * * * * [progress]: [ 80 / 103 ] simplifiying candidate # 5.565 * * * * [progress]: [ 81 / 103 ] simplifiying candidate # 5.566 * * * * [progress]: [ 82 / 103 ] simplifiying candidate # 5.566 * * * * [progress]: [ 83 / 103 ] simplifiying candidate # 5.566 * * * * [progress]: [ 84 / 103 ] simplifiying candidate # 5.566 * * * * [progress]: [ 85 / 103 ] simplifiying candidate # 5.566 * * * * [progress]: [ 86 / 103 ] simplifiying candidate # 5.566 * * * * [progress]: [ 87 / 103 ] simplifiying candidate # 5.566 * * * * [progress]: [ 88 / 103 ] simplifiying candidate # 5.566 * * * * [progress]: [ 89 / 103 ] simplifiying candidate # 5.566 * * * * [progress]: [ 90 / 103 ] simplifiying candidate #real (real->posit16 (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))))> 5.566 * * * * [progress]: [ 91 / 103 ] simplifiying candidate # 5.566 * * * * [progress]: [ 92 / 103 ] simplifiying candidate # 5.566 * * * * [progress]: [ 93 / 103 ] simplifiying candidate # 5.566 * * * * [progress]: [ 94 / 103 ] simplifiying candidate # 5.566 * * * * [progress]: [ 95 / 103 ] simplifiying candidate # 5.566 * * * * [progress]: [ 96 / 103 ] simplifiying candidate # 5.566 * * * * [progress]: [ 97 / 103 ] simplifiying candidate # 5.567 * * * * [progress]: [ 98 / 103 ] simplifiying candidate # 5.567 * * * * [progress]: [ 99 / 103 ] simplifiying candidate # 5.567 * * * * [progress]: [ 100 / 103 ] simplifiying candidate # 5.567 * * * * [progress]: [ 101 / 103 ] simplifiying candidate # 5.567 * * * * [progress]: [ 102 / 103 ] simplifiying candidate # 5.567 * * * * [progress]: [ 103 / 103 ] simplifiying candidate # 5.569 * [simplify]: Simplifying (- (log (- (/ 1/3 N) 1/2)) (+ (log N) (log N))), (- (log (- (/ 1/3 N) 1/2)) (log (* N N))), (log (/ (- (/ 1/3 N) 1/2) (* N N))), (exp (/ (- (/ 1/3 N) 1/2) (* N N))), (/ (* (* (- (/ 1/3 N) 1/2) (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2)) (* (* (* N N) N) (* (* N N) N))), (/ (* (* (- (/ 1/3 N) 1/2) (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2)) (* (* (* N N) (* N N)) (* N N))), (* (cbrt (/ (- (/ 1/3 N) 1/2) (* N N))) (cbrt (/ (- (/ 1/3 N) 1/2) (* N N)))), (cbrt (/ (- (/ 1/3 N) 1/2) (* N N))), (* (* (/ (- (/ 1/3 N) 1/2) (* N N)) (/ (- (/ 1/3 N) 1/2) (* N N))) (/ (- (/ 1/3 N) 1/2) (* N N))), (sqrt (/ (- (/ 1/3 N) 1/2) (* N N))), (sqrt (/ (- (/ 1/3 N) 1/2) (* N N))), (- (- (/ 1/3 N) 1/2)), (- (* N N)), (/ (/ 1/3 N) (* N N)), (/ 1/2 (* N N)), (/ (* (cbrt (- (/ 1/3 N) 1/2)) (cbrt (- (/ 1/3 N) 1/2))) N), (/ (cbrt (- (/ 1/3 N) 1/2)) N), (/ (sqrt (- (/ 1/3 N) 1/2)) N), (/ (sqrt (- (/ 1/3 N) 1/2)) N), (/ 1 N), (/ (- (/ 1/3 N) 1/2) N), (/ (+ (sqrt (/ 1/3 N)) (sqrt 1/2)) N), (/ (- (sqrt (/ 1/3 N)) (sqrt 1/2)) N), (/ (+ (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2)) N), (/ (- (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2)) N), (/ 1 N), (/ (- (/ 1/3 N) 1/2) N), (/ 1 (* N N)), (/ (* N N) (- (/ 1/3 N) 1/2)), (/ (- (/ 1/3 N) 1/2) N), (/ (* N N) (cbrt (- (/ 1/3 N) 1/2))), (/ (* N N) (sqrt (- (/ 1/3 N) 1/2))), (/ (* N N) (- (/ 1/3 N) 1/2)), (/ (* N N) (- (sqrt (/ 1/3 N)) (sqrt 1/2))), (/ (* N N) (- (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2))), (/ (* N N) (- (/ 1/3 N) 1/2)), (* (* N N) (+ (* (/ 1/3 N) (/ 1/3 N)) (+ (* 1/2 1/2) (* (/ 1/3 N) 1/2)))), (* (* N N) (+ (/ 1/3 N) 1/2)), (real->posit16 (/ (- (/ 1/3 N) 1/2) (* N N))), (- (log 1/3) (log N)), (log (/ 1/3 N)), (exp (/ 1/3 N)), (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)), (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))), (cbrt (/ 1/3 N)), (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)), (sqrt (/ 1/3 N)), (sqrt (/ 1/3 N)), (- 1/3), (- N), (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))), (/ (cbrt 1/3) (cbrt N)), (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)), (/ (cbrt 1/3) (sqrt N)), (/ (* (cbrt 1/3) (cbrt 1/3)) 1), (/ (cbrt 1/3) N), (/ (sqrt 1/3) (* (cbrt N) (cbrt N))), (/ (sqrt 1/3) (cbrt N)), (/ (sqrt 1/3) (sqrt N)), (/ (sqrt 1/3) (sqrt N)), (/ (sqrt 1/3) 1), (/ (sqrt 1/3) N), (/ 1 (* (cbrt N) (cbrt N))), (/ 1/3 (cbrt N)), (/ 1 (sqrt N)), (/ 1/3 (sqrt N)), (/ 1 1), (/ 1/3 N), (/ 1 N), (/ N 1/3), (/ 1/3 (* (cbrt N) (cbrt N))), (/ 1/3 (sqrt N)), (/ 1/3 1), (/ N (cbrt 1/3)), (/ N (sqrt 1/3)), (/ N 1/3), (real->posit16 (/ 1/3 N)), (/ (exp (/ 1/3 N)) (exp 1/2)), (log (- (/ 1/3 N) 1/2)), (exp (- (/ 1/3 N) 1/2)), (* (cbrt (- (/ 1/3 N) 1/2)) (cbrt (- (/ 1/3 N) 1/2))), (cbrt (- (/ 1/3 N) 1/2)), (* (* (- (/ 1/3 N) 1/2) (- (/ 1/3 N) 1/2)) (- (/ 1/3 N) 1/2)), (sqrt (- (/ 1/3 N) 1/2)), (sqrt (- (/ 1/3 N) 1/2)), (- (pow (/ 1/3 N) 3) (pow 1/2 3)), (+ (* (/ 1/3 N) (/ 1/3 N)) (+ (* 1/2 1/2) (* (/ 1/3 N) 1/2))), (- 1/2), (- (* (/ 1/3 N) (/ 1/3 N)) (* 1/2 1/2)), (+ (/ 1/3 N) 1/2), (+ (sqrt (/ 1/3 N)) (sqrt 1/2)), (- (sqrt (/ 1/3 N)) (sqrt 1/2)), (+ (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2)), (- (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2)), (- (/ 1/3 N) 1/2), (- 1/2), (real->posit16 (- (/ 1/3 N) 1/2)), (* (exp (/ 1 N)) (exp (/ (- (/ 1/3 N) 1/2) (* N N)))), (log (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N)))), (exp (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N)))), (* (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N)))) (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))), (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N)))), (* (* (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))) (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N)))) (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N)))), (sqrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N)))), (sqrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N)))), (+ (* 1 (* N N)) (* N (- (/ 1/3 N) 1/2))), (* N (* N N)), (+ (pow (/ 1 N) 3) (pow (/ (- (/ 1/3 N) 1/2) (* N N)) 3)), (+ (* (/ 1 N) (/ 1 N)) (- (* (/ (- (/ 1/3 N) 1/2) (* N N)) (/ (- (/ 1/3 N) 1/2) (* N N))) (* (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))), (- (* (/ 1 N) (/ 1 N)) (* (/ (- (/ 1/3 N) 1/2) (* N N)) (/ (- (/ 1/3 N) 1/2) (* N N)))), (- (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))), (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))), (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))), (+ (/ 1 N) (/ (/ 1/3 N) (* N N))), (real->posit16 (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N)))), (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))), (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))), (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))), (/ 1/3 N), (/ 1/3 N), (/ 1/3 N), (- (* 1/3 (/ 1 N)) 1/2), (- (* 1/3 (/ 1 N)) 1/2), (- (* 1/3 (/ 1 N)) 1/2), (- (+ (/ 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)))) 5.571 * * [simplify]: iteration 1: (155 enodes) 5.657 * * [simplify]: iteration 2: (635 enodes) 5.841 * * [simplify]: iteration 3: (1445 enodes) 7.083 * * [simplify]: Extracting #0: cost 92 inf + 0 7.085 * * [simplify]: Extracting #1: cost 472 inf + 45 7.094 * * [simplify]: Extracting #2: cost 898 inf + 11699 7.134 * * [simplify]: Extracting #3: cost 534 inf + 104634 7.220 * * [simplify]: Extracting #4: cost 35 inf + 245024 7.309 * * [simplify]: Extracting #5: cost 0 inf + 252437 7.420 * * [simplify]: Extracting #6: cost 0 inf + 252037 7.532 * * [simplify]: Extracting #7: cost 0 inf + 251997 7.613 * [simplify]: Simplified to (log (/ (/ (+ -1/2 (/ 1/3 N)) N) N)), (log (/ (/ (+ -1/2 (/ 1/3 N)) N) N)), (log (/ (/ (+ -1/2 (/ 1/3 N)) N) N)), (exp (/ (/ (+ -1/2 (/ 1/3 N)) N) N)), (* (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (* (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ (/ (+ -1/2 (/ 1/3 N)) N) N))), (* (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (* (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ (/ (+ -1/2 (/ 1/3 N)) N) N))), (* (cbrt (/ (/ (+ -1/2 (/ 1/3 N)) N) N)) (cbrt (/ (/ (+ -1/2 (/ 1/3 N)) N) N))), (cbrt (/ (/ (+ -1/2 (/ 1/3 N)) N) N)), (* (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (* (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ (/ (+ -1/2 (/ 1/3 N)) N) N))), (sqrt (/ (/ (+ -1/2 (/ 1/3 N)) N) N)), (sqrt (/ (/ (+ -1/2 (/ 1/3 N)) N) N)), (+ (/ -1/3 N) 1/2), (* N (- N)), (/ (/ (/ 1/3 N) N) N), (/ 1/2 (* N N)), (/ (* (cbrt (+ -1/2 (/ 1/3 N))) (cbrt (+ -1/2 (/ 1/3 N)))) N), (/ (cbrt (+ -1/2 (/ 1/3 N))) N), (/ (sqrt (+ -1/2 (/ 1/3 N))) N), (/ (sqrt (+ -1/2 (/ 1/3 N))) N), (/ 1 N), (/ (+ -1/2 (/ 1/3 N)) N), (/ (+ (sqrt 1/2) (sqrt (/ 1/3 N))) N), (/ (- (sqrt (/ 1/3 N)) (sqrt 1/2)) N), (/ (+ (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2)) N), (/ (- (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2)) N), (/ 1 N), (/ (+ -1/2 (/ 1/3 N)) N), (/ (/ 1 N) N), (/ N (/ (+ -1/2 (/ 1/3 N)) N)), (/ (+ -1/2 (/ 1/3 N)) N), (/ (* N N) (cbrt (+ -1/2 (/ 1/3 N)))), (/ N (/ (sqrt (+ -1/2 (/ 1/3 N))) N)), (/ N (/ (+ -1/2 (/ 1/3 N)) N)), (/ N (/ (- (sqrt (/ 1/3 N)) (sqrt 1/2)) N)), (/ N (/ (- (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2)) N)), (/ N (/ (+ -1/2 (/ 1/3 N)) N)), (* (+ (* (+ 1/2 (/ 1/3 N)) (/ 1/3 N)) 1/4) (* N N)), (* (* (+ 1/2 (/ 1/3 N)) N) N), (real->posit16 (/ (/ (+ -1/2 (/ 1/3 N)) N) N)), (log (/ 1/3 N)), (log (/ 1/3 N)), (exp (/ 1/3 N)), (/ (/ (/ 1/27 N) N) N), (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))), (cbrt (/ 1/3 N)), (/ (/ (/ 1/27 N) N) N), (sqrt (/ 1/3 N)), (sqrt (/ 1/3 N)), -1/3, (- N), (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))), (/ (cbrt 1/3) (cbrt N)), (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)), (/ (cbrt 1/3) (sqrt N)), (* (cbrt 1/3) (cbrt 1/3)), (/ (cbrt 1/3) N), (/ (/ (sqrt 1/3) (cbrt N)) (cbrt N)), (/ (sqrt 1/3) (cbrt N)), (/ (sqrt 1/3) (sqrt N)), (/ (sqrt 1/3) (sqrt N)), (sqrt 1/3), (/ (sqrt 1/3) N), (/ (/ 1 (cbrt N)) (cbrt N)), (/ 1/3 (cbrt N)), (/ 1 (sqrt N)), (/ 1/3 (sqrt N)), 1, (/ 1/3 N), (/ 1 N), (/ N 1/3), (/ (/ 1/3 (cbrt N)) (cbrt N)), (/ 1/3 (sqrt N)), 1/3, (/ N (cbrt 1/3)), (/ N (sqrt 1/3)), (/ N 1/3), (real->posit16 (/ 1/3 N)), (exp (+ -1/2 (/ 1/3 N))), (log (+ -1/2 (/ 1/3 N))), (exp (+ -1/2 (/ 1/3 N))), (* (cbrt (+ -1/2 (/ 1/3 N))) (cbrt (+ -1/2 (/ 1/3 N)))), (cbrt (+ -1/2 (/ 1/3 N))), (* (+ -1/2 (/ 1/3 N)) (* (+ -1/2 (/ 1/3 N)) (+ -1/2 (/ 1/3 N)))), (sqrt (+ -1/2 (/ 1/3 N))), (sqrt (+ -1/2 (/ 1/3 N))), (+ (/ (/ (/ 1/27 N) N) N) -1/8), (+ (* (+ 1/2 (/ 1/3 N)) (/ 1/3 N)) 1/4), -1/2, (+ (/ 1/9 (* N N)) -1/4), (+ 1/2 (/ 1/3 N)), (+ (sqrt 1/2) (sqrt (/ 1/3 N))), (- (sqrt (/ 1/3 N)) (sqrt 1/2)), (+ (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2)), (- (/ (sqrt 1/3) (sqrt N)) (sqrt 1/2)), (+ -1/2 (/ 1/3 N)), -1/2, (real->posit16 (+ -1/2 (/ 1/3 N))), (exp (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N))), (log (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N))), (exp (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N))), (* (cbrt (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N))) (cbrt (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N)))), (cbrt (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N))), (* (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N)) (* (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N)) (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N)))), (sqrt (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N))), (sqrt (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N))), (* (- (/ 1/3 N) (- 1/2 N)) N), (* N (* N N)), (+ (* (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (* (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ (/ (+ -1/2 (/ 1/3 N)) N) N))) (/ 1 (* N (* N N)))), (+ (* (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ (/ (+ -1/2 (/ 1/3 N)) N) N)) (* (/ 1 N) (- (/ 1 N) (/ (/ (+ -1/2 (/ 1/3 N)) N) N)))), (* (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N)) (- (/ 1 N) (/ (/ (+ -1/2 (/ 1/3 N)) N) N))), (- (/ 1 N) (/ (/ (+ -1/2 (/ 1/3 N)) N) N)), (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N)), (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N)), (* (/ 1 N) (+ (/ (/ 1/3 N) N) 1)), (real->posit16 (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N))), (/ (/ (+ -1/2 (/ 1/3 N)) N) N), (/ (/ (+ -1/2 (/ 1/3 N)) N) N), (/ (/ (+ -1/2 (/ 1/3 N)) N) N), (/ 1/3 N), (/ 1/3 N), (/ 1/3 N), (+ -1/2 (/ 1/3 N)), (+ -1/2 (/ 1/3 N)), (+ -1/2 (/ 1/3 N)), (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N)), (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N)), (+ (/ (/ (+ -1/2 (/ 1/3 N)) N) N) (/ 1 N)) 7.623 * * * [progress]: adding candidates to table 8.446 * [progress]: [Phase 3 of 3] Extracting. 8.446 * * [regime]: Finding splitpoints for: (# # #) 8.447 * * * [regime-changes]: Trying 1 branch expressions: (N) 8.447 * * * * [regimes]: Trying to branch on N from (# # #) 8.477 * * * [regime]: Found split indices: #