20.710 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.082 * * * [progress]: [2/2] Setting up program. 0.084 * [progress]: [Phase 2 of 3] Improving. 0.084 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.084 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.084 * * [simplify]: iteration 0: 6 enodes 0.085 * * [simplify]: iteration 1: 11 enodes 0.087 * * [simplify]: iteration 2: 12 enodes 0.088 * * [simplify]: iteration complete: 12 enodes 0.088 * * [simplify]: Extracting #0: cost 1 inf + 0 0.088 * * [simplify]: Extracting #1: cost 4 inf + 0 0.088 * * [simplify]: Extracting #2: cost 6 inf + 0 0.088 * * [simplify]: Extracting #3: cost 4 inf + 183 0.088 * * [simplify]: Extracting #4: cost 0 inf + 560 0.089 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.089 * * [progress]: iteration 1 / 4 0.089 * * * [progress]: picking best candidate 0.091 * * * * [pick]: Picked # 0.091 * * * [progress]: localizing error 0.104 * * * [progress]: generating rewritten candidates 0.104 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.119 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.137 * * * [progress]: generating series expansions 0.137 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.137 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.137 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.137 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.137 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.137 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of 1 in N 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (+ 0 1) into 1 0.138 * [backup-simplify]: Simplify (log 1) into 0 0.138 * [taylor]: Taking taylor expansion of (log N) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (log 1) into 0 0.139 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.139 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.139 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of 1 in N 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (+ 0 1) into 1 0.139 * [backup-simplify]: Simplify (log 1) into 0 0.139 * [taylor]: Taking taylor expansion of (log N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (log 1) into 0 0.140 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.140 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.140 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.140 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.140 * [backup-simplify]: Simplify (+ 1 0) into 1 0.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.150 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.152 * [backup-simplify]: Simplify -1/2 into -1/2 0.152 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.152 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.152 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.153 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.153 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.153 * [taylor]: Taking taylor expansion of N in N 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [taylor]: Taking taylor expansion of 1 in N 0.153 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (+ 1 0) into 1 0.154 * [backup-simplify]: Simplify (log 1) into 0 0.154 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [backup-simplify]: Simplify (log 1) into 0 0.155 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.155 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.155 * [taylor]: Taking taylor expansion of N in N 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of 1 in N 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [backup-simplify]: Simplify (log 1) into 0 0.157 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.157 * [taylor]: Taking taylor expansion of N in N 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify (log 1) into 0 0.158 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.159 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.159 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.159 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 1) into 1 0.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [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 0.174 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.174 * [backup-simplify]: Simplify -1/2 into -1/2 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [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 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [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 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.189 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.189 * [backup-simplify]: Simplify 1/3 into 1/3 0.189 * [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)))) 0.190 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.190 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.190 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.190 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.190 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.190 * [taylor]: Taking taylor expansion of 1 in N 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [backup-simplify]: Simplify (- 1) into -1 0.191 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.192 * [backup-simplify]: Simplify (log -1) into (log -1) 0.192 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.192 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.192 * [taylor]: Taking taylor expansion of -1 in N 0.192 * [backup-simplify]: Simplify -1 into -1 0.192 * [taylor]: Taking taylor expansion of N in N 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ -1 1) into -1 0.193 * [backup-simplify]: Simplify (log -1) into (log -1) 0.193 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.193 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.193 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.193 * [taylor]: Taking taylor expansion of 1 in N 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify (- 1) into -1 0.195 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.195 * [backup-simplify]: Simplify (log -1) into (log -1) 0.195 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.196 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.196 * [taylor]: Taking taylor expansion of -1 in N 0.196 * [backup-simplify]: Simplify -1 into -1 0.196 * [taylor]: Taking taylor expansion of N in N 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ -1 1) into -1 0.197 * [backup-simplify]: Simplify (log -1) into (log -1) 0.198 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.199 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.199 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.200 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ 1 0) into 1 0.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ -1 0) into -1 0.206 * [backup-simplify]: Simplify -1 into -1 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (- 0) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.215 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.215 * [backup-simplify]: Simplify -1/2 into -1/2 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [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 0.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [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 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.230 * [backup-simplify]: Simplify -1/3 into -1/3 0.231 * [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)))) 0.231 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.231 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.231 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.231 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.231 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of 1 in N 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (+ 0 1) into 1 0.232 * [backup-simplify]: Simplify (log 1) into 0 0.232 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.232 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of 1 in N 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (+ 0 1) into 1 0.233 * [backup-simplify]: Simplify (log 1) into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (+ 1 0) into 1 0.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.238 * [backup-simplify]: Simplify -1/2 into -1/2 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [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 0.243 * [backup-simplify]: Simplify 1/3 into 1/3 0.244 * [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))) 0.244 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.244 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.244 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.244 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.244 * [taylor]: Taking taylor expansion of N in N 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [taylor]: Taking taylor expansion of 1 in N 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (+ 1 0) into 1 0.245 * [backup-simplify]: Simplify (log 1) into 0 0.245 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.245 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.245 * [taylor]: Taking taylor expansion of N in N 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [taylor]: Taking taylor expansion of 1 in N 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (+ 1 0) into 1 0.247 * [backup-simplify]: Simplify (log 1) into 0 0.247 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.247 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 1) into 1 0.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.254 * [backup-simplify]: Simplify -1/2 into -1/2 0.254 * [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)))) 0.254 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.254 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.254 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.254 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.254 * [taylor]: Taking taylor expansion of 1 in N 0.254 * [backup-simplify]: Simplify 1 into 1 0.255 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.255 * [taylor]: Taking taylor expansion of N in N 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [backup-simplify]: Simplify (- 1) into -1 0.256 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.256 * [backup-simplify]: Simplify (log -1) into (log -1) 0.256 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.256 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.256 * [taylor]: Taking taylor expansion of 1 in N 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.256 * [taylor]: Taking taylor expansion of N in N 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify (- 1) into -1 0.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.258 * [backup-simplify]: Simplify (log -1) into (log -1) 0.259 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.259 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 1 0) into 1 0.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.262 * [backup-simplify]: Simplify -1 into -1 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.267 * [backup-simplify]: Simplify -1/2 into -1/2 0.268 * [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)))) 0.268 * * * [progress]: simplifying candidates 0.268 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.268 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.268 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.268 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.268 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 16 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.270 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.271 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.271 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.271 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.271 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.271 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.271 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.271 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.271 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.271 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.271 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.271 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.271 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.272 * [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)))) 0.274 * * [simplify]: iteration 0: 97 enodes 0.317 * * [simplify]: iteration 1: 199 enodes 0.374 * * [simplify]: iteration 2: 463 enodes 0.540 * * [simplify]: iteration 3: 1350 enodes 1.520 * * [simplify]: iteration 4: 3864 enodes 2.614 * * [simplify]: iteration complete: 5000 enodes 2.614 * * [simplify]: Extracting #0: cost 41 inf + 0 2.616 * * [simplify]: Extracting #1: cost 269 inf + 1 2.620 * * [simplify]: Extracting #2: cost 697 inf + 1583 2.627 * * [simplify]: Extracting #3: cost 740 inf + 22713 2.644 * * [simplify]: Extracting #4: cost 379 inf + 101877 2.705 * * [simplify]: Extracting #5: cost 193 inf + 183061 2.744 * * [simplify]: Extracting #6: cost 32 inf + 221917 2.784 * * [simplify]: Extracting #7: cost 0 inf + 231379 2.841 * [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 (+ 1 N)) (+ (log (+ 1 N)) (log N))) (* (log N) (log 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 (+ -1 (* N N))) (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)) (* -1/2 (* N N))) (+ (/ 1 N) (/ (+ (/ 1/3 N) -1/2) (* N N))) (+ (/ 1 N) (/ (+ (/ 1/3 N) -1/2) (* N N))) (+ (* (+ (* 1/3 N) -1/2) (* N N)) N) (+ (+ (log N) (/ 1 N)) (/ -1/2 (* N N))) (+ (+ (log N) (/ 1 N)) (/ -1/2 (* N N))) 2.845 * * * [progress]: adding candidates to table 3.070 * * [progress]: iteration 2 / 4 3.070 * * * [progress]: picking best candidate 3.081 * * * * [pick]: Picked # 3.081 * * * [progress]: localizing error 3.097 * * * [progress]: generating rewritten candidates 3.097 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.104 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.121 * * * [progress]: generating series expansions 3.121 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.121 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 3.121 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 3.121 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.121 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.121 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.121 * [taylor]: Taking taylor expansion of N in N 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify 1 into 1 3.121 * [taylor]: Taking taylor expansion of 1 in N 3.121 * [backup-simplify]: Simplify 1 into 1 3.121 * [taylor]: Taking taylor expansion of N in N 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify 1 into 1 3.122 * [backup-simplify]: Simplify (+ 0 1) into 1 3.122 * [backup-simplify]: Simplify (/ 1 1) into 1 3.122 * [backup-simplify]: Simplify (log 1) into 0 3.122 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.122 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.122 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.122 * [taylor]: Taking taylor expansion of N in N 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [taylor]: Taking taylor expansion of 1 in N 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [taylor]: Taking taylor expansion of N in N 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (+ 0 1) into 1 3.123 * [backup-simplify]: Simplify (/ 1 1) into 1 3.123 * [backup-simplify]: Simplify (log 1) into 0 3.124 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.124 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.124 * [backup-simplify]: Simplify (+ 1 0) into 1 3.124 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.125 * [backup-simplify]: Simplify 1 into 1 3.125 * [backup-simplify]: Simplify (+ 0 0) into 0 3.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.127 * [backup-simplify]: Simplify -1/2 into -1/2 3.128 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 3.128 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 3.128 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 3.128 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.128 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.128 * [taylor]: Taking taylor expansion of N in N 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.128 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.128 * [taylor]: Taking taylor expansion of N in N 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [backup-simplify]: Simplify (/ 1 1) into 1 3.128 * [taylor]: Taking taylor expansion of 1 in N 3.128 * [backup-simplify]: Simplify 1 into 1 3.129 * [backup-simplify]: Simplify (+ 1 0) into 1 3.129 * [backup-simplify]: Simplify (* 0 1) into 0 3.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.130 * [backup-simplify]: Simplify (+ 0 1) into 1 3.130 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.130 * [backup-simplify]: Simplify (log 1) into 0 3.130 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.130 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.130 * [taylor]: Taking taylor expansion of N in N 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify 1 into 1 3.130 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.130 * [taylor]: Taking taylor expansion of N in N 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify 1 into 1 3.131 * [backup-simplify]: Simplify (/ 1 1) into 1 3.131 * [taylor]: Taking taylor expansion of 1 in N 3.131 * [backup-simplify]: Simplify 1 into 1 3.131 * [backup-simplify]: Simplify (+ 1 0) into 1 3.131 * [backup-simplify]: Simplify (* 0 1) into 0 3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (+ 0 1) into 1 3.132 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.132 * [backup-simplify]: Simplify (log 1) into 0 3.133 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.133 * [backup-simplify]: Simplify (+ 0 0) into 0 3.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.135 * [backup-simplify]: Simplify 1 into 1 3.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.135 * [backup-simplify]: Simplify (+ 0 0) into 0 3.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.138 * [backup-simplify]: Simplify -1/2 into -1/2 3.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.140 * [backup-simplify]: Simplify (+ 0 0) into 0 3.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.147 * [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 3.147 * [backup-simplify]: Simplify 1/3 into 1/3 3.147 * [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)))) 3.148 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 3.148 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 3.148 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.148 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.148 * [taylor]: Taking taylor expansion of -1 in N 3.148 * [backup-simplify]: Simplify -1 into -1 3.148 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.148 * [taylor]: Taking taylor expansion of N in N 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 1 into 1 3.148 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.148 * [taylor]: Taking taylor expansion of 1 in N 3.148 * [backup-simplify]: Simplify 1 into 1 3.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.148 * [taylor]: Taking taylor expansion of N in N 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 1 into 1 3.149 * [backup-simplify]: Simplify (/ 1 1) into 1 3.150 * [backup-simplify]: Simplify (- 1) into -1 3.150 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.150 * [backup-simplify]: Simplify (* 0 -1) into 0 3.151 * [backup-simplify]: Simplify (* -1 0) into 0 3.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.152 * [backup-simplify]: Simplify (- 0) into 0 3.153 * [backup-simplify]: Simplify (+ 1 0) into 1 3.153 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.154 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.155 * [backup-simplify]: Simplify (log 1) into 0 3.155 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.155 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.155 * [taylor]: Taking taylor expansion of -1 in N 3.155 * [backup-simplify]: Simplify -1 into -1 3.155 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.155 * [taylor]: Taking taylor expansion of N in N 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.155 * [taylor]: Taking taylor expansion of 1 in N 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.155 * [taylor]: Taking taylor expansion of N in N 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [backup-simplify]: Simplify (/ 1 1) into 1 3.156 * [backup-simplify]: Simplify (- 1) into -1 3.156 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.157 * [backup-simplify]: Simplify (* 0 -1) into 0 3.157 * [backup-simplify]: Simplify (* -1 0) into 0 3.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.158 * [backup-simplify]: Simplify (- 0) into 0 3.159 * [backup-simplify]: Simplify (+ 1 0) into 1 3.159 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.160 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.160 * [backup-simplify]: Simplify (log 1) into 0 3.160 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.162 * [backup-simplify]: Simplify (- 0) into 0 3.162 * [backup-simplify]: Simplify (+ 0 0) into 0 3.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.164 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.165 * [backup-simplify]: Simplify -1 into -1 3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.167 * [backup-simplify]: Simplify (- 0) into 0 3.167 * [backup-simplify]: Simplify (+ 0 0) into 0 3.168 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.170 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.172 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.173 * [backup-simplify]: Simplify -1/2 into -1/2 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.182 * [backup-simplify]: Simplify (- 0) into 0 3.183 * [backup-simplify]: Simplify (+ 0 0) into 0 3.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.186 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.191 * [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 3.191 * [backup-simplify]: Simplify -1/3 into -1/3 3.192 * [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)))) 3.192 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.192 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 3.192 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 3.192 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.192 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.192 * [taylor]: Taking taylor expansion of N in N 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify 1 into 1 3.192 * [taylor]: Taking taylor expansion of 1 in N 3.192 * [backup-simplify]: Simplify 1 into 1 3.192 * [taylor]: Taking taylor expansion of N in N 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify 1 into 1 3.193 * [backup-simplify]: Simplify (+ 0 1) into 1 3.193 * [backup-simplify]: Simplify (/ 1 1) into 1 3.193 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.193 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.193 * [taylor]: Taking taylor expansion of N in N 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 1 into 1 3.193 * [taylor]: Taking taylor expansion of 1 in N 3.194 * [backup-simplify]: Simplify 1 into 1 3.194 * [taylor]: Taking taylor expansion of N in N 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify 1 into 1 3.194 * [backup-simplify]: Simplify (+ 0 1) into 1 3.194 * [backup-simplify]: Simplify (/ 1 1) into 1 3.195 * [backup-simplify]: Simplify 1 into 1 3.195 * [backup-simplify]: Simplify (+ 1 0) into 1 3.196 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.196 * [backup-simplify]: Simplify 1 into 1 3.196 * [backup-simplify]: Simplify (+ 0 0) into 0 3.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.197 * [backup-simplify]: Simplify 0 into 0 3.198 * [backup-simplify]: Simplify (+ 0 0) into 0 3.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify (+ 0 0) into 0 3.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify (+ 0 0) into 0 3.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.201 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify (+ 0 0) into 0 3.203 * [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 3.203 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify (+ 0 0) into 0 3.204 * [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 3.204 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 3.204 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 3.204 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 3.204 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.204 * [taylor]: Taking taylor expansion of N in N 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 1 into 1 3.205 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.205 * [taylor]: Taking taylor expansion of N in N 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 1 into 1 3.205 * [backup-simplify]: Simplify (/ 1 1) into 1 3.205 * [taylor]: Taking taylor expansion of 1 in N 3.205 * [backup-simplify]: Simplify 1 into 1 3.205 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.205 * [taylor]: Taking taylor expansion of N in N 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 1 into 1 3.205 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.205 * [taylor]: Taking taylor expansion of N in N 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 1 into 1 3.206 * [backup-simplify]: Simplify (/ 1 1) into 1 3.206 * [taylor]: Taking taylor expansion of 1 in N 3.206 * [backup-simplify]: Simplify 1 into 1 3.206 * [backup-simplify]: Simplify (+ 1 0) into 1 3.207 * [backup-simplify]: Simplify (* 0 1) into 0 3.207 * [backup-simplify]: Simplify 0 into 0 3.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.208 * [backup-simplify]: Simplify (+ 0 1) into 1 3.209 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.209 * [backup-simplify]: Simplify 1 into 1 3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.210 * [backup-simplify]: Simplify (+ 0 0) into 0 3.211 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.211 * [backup-simplify]: Simplify 1 into 1 3.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.212 * [backup-simplify]: Simplify (+ 0 0) into 0 3.213 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.213 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify (+ 0 0) into 0 3.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.216 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.217 * [backup-simplify]: Simplify (+ 0 0) into 0 3.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 3.218 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.220 * [backup-simplify]: Simplify (+ 0 0) into 0 3.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 3.221 * [backup-simplify]: Simplify 0 into 0 3.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.223 * [backup-simplify]: Simplify (+ 0 0) into 0 3.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 3.224 * [backup-simplify]: Simplify 0 into 0 3.226 * [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 3.226 * [backup-simplify]: Simplify (+ 0 0) into 0 3.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 3.228 * [backup-simplify]: Simplify 0 into 0 3.228 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 3.228 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 3.228 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 3.228 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.228 * [taylor]: Taking taylor expansion of -1 in N 3.228 * [backup-simplify]: Simplify -1 into -1 3.228 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.228 * [taylor]: Taking taylor expansion of N in N 3.228 * [backup-simplify]: Simplify 0 into 0 3.228 * [backup-simplify]: Simplify 1 into 1 3.228 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.229 * [taylor]: Taking taylor expansion of 1 in N 3.229 * [backup-simplify]: Simplify 1 into 1 3.229 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.229 * [taylor]: Taking taylor expansion of N in N 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 1 into 1 3.229 * [backup-simplify]: Simplify (/ 1 1) into 1 3.229 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.229 * [taylor]: Taking taylor expansion of -1 in N 3.229 * [backup-simplify]: Simplify -1 into -1 3.229 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.229 * [taylor]: Taking taylor expansion of N in N 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 1 into 1 3.229 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.229 * [taylor]: Taking taylor expansion of 1 in N 3.229 * [backup-simplify]: Simplify 1 into 1 3.229 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.229 * [taylor]: Taking taylor expansion of N in N 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (/ 1 1) into 1 3.230 * [backup-simplify]: Simplify (- 1) into -1 3.231 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.231 * [backup-simplify]: Simplify (* 0 -1) into 0 3.231 * [backup-simplify]: Simplify (* -1 0) into 0 3.231 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.233 * [backup-simplify]: Simplify (- 0) into 0 3.233 * [backup-simplify]: Simplify (+ 1 0) into 1 3.234 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.234 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.234 * [backup-simplify]: Simplify 1 into 1 3.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.236 * [backup-simplify]: Simplify (- 0) into 0 3.236 * [backup-simplify]: Simplify (+ 0 0) into 0 3.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.238 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.238 * [backup-simplify]: Simplify -1 into -1 3.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.240 * [backup-simplify]: Simplify (- 0) into 0 3.241 * [backup-simplify]: Simplify (+ 0 0) into 0 3.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.243 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.245 * [backup-simplify]: Simplify (- 0) into 0 3.245 * [backup-simplify]: Simplify (+ 0 0) into 0 3.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.248 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.248 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.249 * [backup-simplify]: Simplify (- 0) into 0 3.250 * [backup-simplify]: Simplify (+ 0 0) into 0 3.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 3.253 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (- 0) into 0 3.255 * [backup-simplify]: Simplify (+ 0 0) into 0 3.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 3.258 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 3.258 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.260 * [backup-simplify]: Simplify (- 0) into 0 3.260 * [backup-simplify]: Simplify (+ 0 0) into 0 3.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 3.262 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [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 3.263 * [backup-simplify]: Simplify (- 0) into 0 3.264 * [backup-simplify]: Simplify (+ 0 0) into 0 3.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 3.266 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 3.266 * * * [progress]: simplifying candidates 3.266 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 3.266 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 3.266 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 3.266 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 3.266 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 3.266 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 3.266 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 3.266 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 3.266 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 3.267 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 3.267 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 3.268 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 3.268 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 3.269 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log 1) (log (/ (+ N 1) N)) (log (+ N 1)) (log (/ 1 N)) (log (+ N 1)) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (exp (log (/ (+ N 1) N))) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (- (log (+ N 1)) (log N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (/ (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (- (+ N 1)) (- N) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ N 1)) (sqrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1) (/ (cbrt (+ N 1)) N) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) 1) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (/ (+ N 1) 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (* N (+ (* N N) (- (* 1 1) (* N 1)))) (* N (- N 1)) (real->posit16 (/ (+ N 1) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 3.270 * * [simplify]: iteration 0: 102 enodes 3.296 * * [simplify]: iteration 1: 233 enodes 3.384 * * [simplify]: iteration 2: 620 enodes 3.759 * * [simplify]: iteration 3: 2563 enodes 4.469 * * [simplify]: iteration complete: 5021 enodes 4.469 * * [simplify]: Extracting #0: cost 65 inf + 0 4.472 * * [simplify]: Extracting #1: cost 811 inf + 2 4.481 * * [simplify]: Extracting #2: cost 1697 inf + 7911 4.526 * * [simplify]: Extracting #3: cost 1456 inf + 130242 4.580 * * [simplify]: Extracting #4: cost 392 inf + 384181 4.662 * * [simplify]: Extracting #5: cost 10 inf + 502968 4.770 * * [simplify]: Extracting #6: cost 0 inf + 506109 4.877 * [simplify]: Simplified to: (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 N)) (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log (+ 1 N)) (- (log N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 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) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 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 N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N)))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (/ (+ 1 N) (cbrt N)) (cbrt N)) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (- 1 N) (* N N))) (* (- N 1) N) (real->posit16 (/ (+ 1 N) N)) (+ (- N (log N)) (* -1/2 (* N N))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* N (* N N))))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* N (* N N))))) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) 4.880 * * * [progress]: adding candidates to table 5.086 * * [progress]: iteration 3 / 4 5.086 * * * [progress]: picking best candidate 5.096 * * * * [pick]: Picked # 5.097 * * * [progress]: localizing error 5.126 * * * [progress]: generating rewritten candidates 5.126 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.135 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.143 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.154 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 5.168 * * * [progress]: generating series expansions 5.168 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.168 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1) N))) into (log (sqrt (/ (+ N 1) N))) 5.168 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 5.168 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 5.168 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.168 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.168 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.168 * [taylor]: Taking taylor expansion of N in N 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 1 into 1 5.168 * [taylor]: Taking taylor expansion of 1 in N 5.168 * [backup-simplify]: Simplify 1 into 1 5.168 * [taylor]: Taking taylor expansion of N in N 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 1 into 1 5.169 * [backup-simplify]: Simplify (+ 0 1) into 1 5.170 * [backup-simplify]: Simplify (/ 1 1) into 1 5.170 * [backup-simplify]: Simplify (sqrt 0) into 0 5.172 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.172 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.172 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 5.172 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.172 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.172 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.172 * [taylor]: Taking taylor expansion of N in N 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify 1 into 1 5.172 * [taylor]: Taking taylor expansion of 1 in N 5.172 * [backup-simplify]: Simplify 1 into 1 5.172 * [taylor]: Taking taylor expansion of N in N 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify 1 into 1 5.173 * [backup-simplify]: Simplify (+ 0 1) into 1 5.173 * [backup-simplify]: Simplify (/ 1 1) into 1 5.174 * [backup-simplify]: Simplify (sqrt 0) into 0 5.182 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.183 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.183 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.184 * [backup-simplify]: Simplify (+ 1 0) into 1 5.185 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.188 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.195 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.195 * [backup-simplify]: Simplify (+ 0 0) into 0 5.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.215 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.215 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.216 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 5.216 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 5.216 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 5.216 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 5.216 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.216 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.216 * [taylor]: Taking taylor expansion of N in N 5.216 * [backup-simplify]: Simplify 0 into 0 5.216 * [backup-simplify]: Simplify 1 into 1 5.216 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.216 * [taylor]: Taking taylor expansion of N in N 5.216 * [backup-simplify]: Simplify 0 into 0 5.216 * [backup-simplify]: Simplify 1 into 1 5.216 * [backup-simplify]: Simplify (/ 1 1) into 1 5.216 * [taylor]: Taking taylor expansion of 1 in N 5.216 * [backup-simplify]: Simplify 1 into 1 5.217 * [backup-simplify]: Simplify (+ 1 0) into 1 5.217 * [backup-simplify]: Simplify (* 0 1) into 0 5.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.218 * [backup-simplify]: Simplify (+ 0 1) into 1 5.219 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.219 * [backup-simplify]: Simplify (sqrt 1) into 1 5.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.221 * [backup-simplify]: Simplify (+ 0 0) into 0 5.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.222 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.222 * [backup-simplify]: Simplify (log 1) into 0 5.222 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 5.222 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.222 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.222 * [taylor]: Taking taylor expansion of N in N 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.222 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.222 * [taylor]: Taking taylor expansion of N in N 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.222 * [backup-simplify]: Simplify (/ 1 1) into 1 5.222 * [taylor]: Taking taylor expansion of 1 in N 5.222 * [backup-simplify]: Simplify 1 into 1 5.223 * [backup-simplify]: Simplify (+ 1 0) into 1 5.223 * [backup-simplify]: Simplify (* 0 1) into 0 5.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.224 * [backup-simplify]: Simplify (+ 0 1) into 1 5.224 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.224 * [backup-simplify]: Simplify (sqrt 1) into 1 5.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.225 * [backup-simplify]: Simplify (+ 0 0) into 0 5.225 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.226 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.226 * [backup-simplify]: Simplify (log 1) into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.227 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.227 * [backup-simplify]: Simplify 1/2 into 1/2 5.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.228 * [backup-simplify]: Simplify (+ 0 0) into 0 5.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.229 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.230 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.230 * [backup-simplify]: Simplify -1/4 into -1/4 5.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.231 * [backup-simplify]: Simplify (+ 0 0) into 0 5.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 5.233 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.235 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 5.235 * [backup-simplify]: Simplify 1/6 into 1/6 5.236 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 5.236 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 5.236 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 5.236 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 5.236 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.236 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.236 * [taylor]: Taking taylor expansion of -1 in N 5.236 * [backup-simplify]: Simplify -1 into -1 5.236 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.236 * [taylor]: Taking taylor expansion of N in N 5.236 * [backup-simplify]: Simplify 0 into 0 5.236 * [backup-simplify]: Simplify 1 into 1 5.236 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.236 * [taylor]: Taking taylor expansion of 1 in N 5.236 * [backup-simplify]: Simplify 1 into 1 5.236 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.236 * [taylor]: Taking taylor expansion of N in N 5.236 * [backup-simplify]: Simplify 0 into 0 5.236 * [backup-simplify]: Simplify 1 into 1 5.236 * [backup-simplify]: Simplify (/ 1 1) into 1 5.237 * [backup-simplify]: Simplify (- 1) into -1 5.237 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.237 * [backup-simplify]: Simplify (* 0 -1) into 0 5.238 * [backup-simplify]: Simplify (* -1 0) into 0 5.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.238 * [backup-simplify]: Simplify (- 0) into 0 5.238 * [backup-simplify]: Simplify (+ 1 0) into 1 5.239 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.239 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.239 * [backup-simplify]: Simplify (sqrt 1) into 1 5.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.240 * [backup-simplify]: Simplify (- 0) into 0 5.241 * [backup-simplify]: Simplify (+ 0 0) into 0 5.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.242 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.243 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.243 * [backup-simplify]: Simplify (log 1) into 0 5.243 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 5.243 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.243 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.243 * [taylor]: Taking taylor expansion of -1 in N 5.243 * [backup-simplify]: Simplify -1 into -1 5.243 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.243 * [taylor]: Taking taylor expansion of N in N 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify 1 into 1 5.243 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.243 * [taylor]: Taking taylor expansion of 1 in N 5.243 * [backup-simplify]: Simplify 1 into 1 5.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.243 * [taylor]: Taking taylor expansion of N in N 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify 1 into 1 5.244 * [backup-simplify]: Simplify (/ 1 1) into 1 5.244 * [backup-simplify]: Simplify (- 1) into -1 5.244 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.244 * [backup-simplify]: Simplify (* 0 -1) into 0 5.245 * [backup-simplify]: Simplify (* -1 0) into 0 5.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.245 * [backup-simplify]: Simplify (- 0) into 0 5.246 * [backup-simplify]: Simplify (+ 1 0) into 1 5.246 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.246 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.247 * [backup-simplify]: Simplify (sqrt 1) into 1 5.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.247 * [backup-simplify]: Simplify (- 0) into 0 5.248 * [backup-simplify]: Simplify (+ 0 0) into 0 5.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.249 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.249 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.249 * [backup-simplify]: Simplify (log 1) into 0 5.249 * [backup-simplify]: Simplify 0 into 0 5.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 5.250 * [backup-simplify]: Simplify -1/2 into -1/2 5.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.251 * [backup-simplify]: Simplify (- 0) into 0 5.251 * [backup-simplify]: Simplify (+ 0 0) into 0 5.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.253 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.254 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 5.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.257 * [backup-simplify]: Simplify -1/4 into -1/4 5.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.258 * [backup-simplify]: Simplify (- 0) into 0 5.258 * [backup-simplify]: Simplify (+ 0 0) into 0 5.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.261 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 5.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 5.266 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 5.266 * [backup-simplify]: Simplify -1/6 into -1/6 5.267 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 5.267 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.267 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1) N))) into (log (sqrt (/ (+ N 1) N))) 5.267 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 5.267 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 5.267 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.267 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.267 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.267 * [taylor]: Taking taylor expansion of N in N 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify 1 into 1 5.267 * [taylor]: Taking taylor expansion of 1 in N 5.267 * [backup-simplify]: Simplify 1 into 1 5.267 * [taylor]: Taking taylor expansion of N in N 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify 1 into 1 5.267 * [backup-simplify]: Simplify (+ 0 1) into 1 5.268 * [backup-simplify]: Simplify (/ 1 1) into 1 5.268 * [backup-simplify]: Simplify (sqrt 0) into 0 5.269 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.269 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.269 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 5.269 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.269 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.269 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.269 * [taylor]: Taking taylor expansion of N in N 5.269 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify 1 into 1 5.269 * [taylor]: Taking taylor expansion of 1 in N 5.269 * [backup-simplify]: Simplify 1 into 1 5.269 * [taylor]: Taking taylor expansion of N in N 5.269 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify 1 into 1 5.270 * [backup-simplify]: Simplify (+ 0 1) into 1 5.270 * [backup-simplify]: Simplify (/ 1 1) into 1 5.270 * [backup-simplify]: Simplify (sqrt 0) into 0 5.271 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.271 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.271 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.272 * [backup-simplify]: Simplify (+ 1 0) into 1 5.272 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.274 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.278 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.278 * [backup-simplify]: Simplify (+ 0 0) into 0 5.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.295 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.295 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.295 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 5.295 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 5.295 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 5.295 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 5.295 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.296 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.296 * [taylor]: Taking taylor expansion of N in N 5.296 * [backup-simplify]: Simplify 0 into 0 5.296 * [backup-simplify]: Simplify 1 into 1 5.296 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.296 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.296 * [taylor]: Taking taylor expansion of N in N 5.296 * [backup-simplify]: Simplify 0 into 0 5.296 * [backup-simplify]: Simplify 1 into 1 5.296 * [backup-simplify]: Simplify (/ 1 1) into 1 5.296 * [taylor]: Taking taylor expansion of 1 in N 5.296 * [backup-simplify]: Simplify 1 into 1 5.296 * [backup-simplify]: Simplify (+ 1 0) into 1 5.296 * [backup-simplify]: Simplify (* 0 1) into 0 5.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.297 * [backup-simplify]: Simplify (+ 0 1) into 1 5.298 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.298 * [backup-simplify]: Simplify (sqrt 1) into 1 5.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.299 * [backup-simplify]: Simplify (+ 0 0) into 0 5.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.300 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.300 * [backup-simplify]: Simplify (log 1) into 0 5.300 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 5.300 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.300 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.300 * [taylor]: Taking taylor expansion of N in N 5.300 * [backup-simplify]: Simplify 0 into 0 5.300 * [backup-simplify]: Simplify 1 into 1 5.300 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.300 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.300 * [taylor]: Taking taylor expansion of N in N 5.300 * [backup-simplify]: Simplify 0 into 0 5.300 * [backup-simplify]: Simplify 1 into 1 5.300 * [backup-simplify]: Simplify (/ 1 1) into 1 5.300 * [taylor]: Taking taylor expansion of 1 in N 5.300 * [backup-simplify]: Simplify 1 into 1 5.300 * [backup-simplify]: Simplify (+ 1 0) into 1 5.301 * [backup-simplify]: Simplify (* 0 1) into 0 5.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.301 * [backup-simplify]: Simplify (+ 0 1) into 1 5.302 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.302 * [backup-simplify]: Simplify (sqrt 1) into 1 5.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.303 * [backup-simplify]: Simplify (+ 0 0) into 0 5.303 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.304 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.304 * [backup-simplify]: Simplify (log 1) into 0 5.304 * [backup-simplify]: Simplify 0 into 0 5.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.305 * [backup-simplify]: Simplify 1/2 into 1/2 5.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.306 * [backup-simplify]: Simplify (+ 0 0) into 0 5.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.307 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.308 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.308 * [backup-simplify]: Simplify -1/4 into -1/4 5.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.309 * [backup-simplify]: Simplify (+ 0 0) into 0 5.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 5.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.314 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 5.314 * [backup-simplify]: Simplify 1/6 into 1/6 5.314 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 5.314 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 5.314 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 5.314 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 5.314 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.314 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.314 * [taylor]: Taking taylor expansion of -1 in N 5.314 * [backup-simplify]: Simplify -1 into -1 5.314 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.314 * [taylor]: Taking taylor expansion of N in N 5.314 * [backup-simplify]: Simplify 0 into 0 5.314 * [backup-simplify]: Simplify 1 into 1 5.314 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.314 * [taylor]: Taking taylor expansion of 1 in N 5.314 * [backup-simplify]: Simplify 1 into 1 5.314 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.314 * [taylor]: Taking taylor expansion of N in N 5.314 * [backup-simplify]: Simplify 0 into 0 5.314 * [backup-simplify]: Simplify 1 into 1 5.314 * [backup-simplify]: Simplify (/ 1 1) into 1 5.315 * [backup-simplify]: Simplify (- 1) into -1 5.315 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.315 * [backup-simplify]: Simplify (* 0 -1) into 0 5.316 * [backup-simplify]: Simplify (* -1 0) into 0 5.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.316 * [backup-simplify]: Simplify (- 0) into 0 5.317 * [backup-simplify]: Simplify (+ 1 0) into 1 5.317 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.317 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.318 * [backup-simplify]: Simplify (sqrt 1) into 1 5.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.318 * [backup-simplify]: Simplify (- 0) into 0 5.319 * [backup-simplify]: Simplify (+ 0 0) into 0 5.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.320 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.320 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.320 * [backup-simplify]: Simplify (log 1) into 0 5.320 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 5.320 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.320 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.320 * [taylor]: Taking taylor expansion of -1 in N 5.320 * [backup-simplify]: Simplify -1 into -1 5.320 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.320 * [taylor]: Taking taylor expansion of N in N 5.320 * [backup-simplify]: Simplify 0 into 0 5.320 * [backup-simplify]: Simplify 1 into 1 5.320 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.320 * [taylor]: Taking taylor expansion of 1 in N 5.320 * [backup-simplify]: Simplify 1 into 1 5.320 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.321 * [taylor]: Taking taylor expansion of N in N 5.321 * [backup-simplify]: Simplify 0 into 0 5.321 * [backup-simplify]: Simplify 1 into 1 5.321 * [backup-simplify]: Simplify (/ 1 1) into 1 5.321 * [backup-simplify]: Simplify (- 1) into -1 5.321 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.322 * [backup-simplify]: Simplify (* 0 -1) into 0 5.322 * [backup-simplify]: Simplify (* -1 0) into 0 5.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.323 * [backup-simplify]: Simplify (- 0) into 0 5.323 * [backup-simplify]: Simplify (+ 1 0) into 1 5.323 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.324 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.324 * [backup-simplify]: Simplify (sqrt 1) into 1 5.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.325 * [backup-simplify]: Simplify (- 0) into 0 5.325 * [backup-simplify]: Simplify (+ 0 0) into 0 5.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.326 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.326 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.327 * [backup-simplify]: Simplify (log 1) into 0 5.327 * [backup-simplify]: Simplify 0 into 0 5.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 5.327 * [backup-simplify]: Simplify -1/2 into -1/2 5.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.328 * [backup-simplify]: Simplify (- 0) into 0 5.328 * [backup-simplify]: Simplify (+ 0 0) into 0 5.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.330 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.331 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 5.332 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.332 * [backup-simplify]: Simplify -1/4 into -1/4 5.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.333 * [backup-simplify]: Simplify (- 0) into 0 5.333 * [backup-simplify]: Simplify (+ 0 0) into 0 5.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.335 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 5.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 5.338 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 5.338 * [backup-simplify]: Simplify -1/6 into -1/6 5.339 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 5.339 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.339 * [backup-simplify]: Simplify (sqrt (/ (+ N 1) N)) into (sqrt (/ (+ N 1) N)) 5.339 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 5.339 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.339 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.339 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.339 * [taylor]: Taking taylor expansion of N in N 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify 1 into 1 5.339 * [taylor]: Taking taylor expansion of 1 in N 5.339 * [backup-simplify]: Simplify 1 into 1 5.339 * [taylor]: Taking taylor expansion of N in N 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify 1 into 1 5.339 * [backup-simplify]: Simplify (+ 0 1) into 1 5.340 * [backup-simplify]: Simplify (/ 1 1) into 1 5.340 * [backup-simplify]: Simplify (sqrt 0) into 0 5.341 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.341 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.341 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.341 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.341 * [taylor]: Taking taylor expansion of N in N 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify 1 into 1 5.341 * [taylor]: Taking taylor expansion of 1 in N 5.341 * [backup-simplify]: Simplify 1 into 1 5.341 * [taylor]: Taking taylor expansion of N in N 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify 1 into 1 5.342 * [backup-simplify]: Simplify (+ 0 1) into 1 5.342 * [backup-simplify]: Simplify (/ 1 1) into 1 5.343 * [backup-simplify]: Simplify (sqrt 0) into 0 5.344 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.344 * [backup-simplify]: Simplify 0 into 0 5.344 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.345 * [backup-simplify]: Simplify (+ 1 0) into 1 5.346 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.349 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.349 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.349 * [backup-simplify]: Simplify (+ 0 0) into 0 5.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.354 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.354 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 5.354 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 5.354 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 5.354 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.354 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) 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 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.355 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.355 * [taylor]: Taking taylor expansion of N in N 5.355 * [backup-simplify]: Simplify 0 into 0 5.355 * [backup-simplify]: Simplify 1 into 1 5.355 * [backup-simplify]: Simplify (/ 1 1) into 1 5.355 * [taylor]: Taking taylor expansion of 1 in N 5.355 * [backup-simplify]: Simplify 1 into 1 5.355 * [backup-simplify]: Simplify (+ 1 0) into 1 5.356 * [backup-simplify]: Simplify (* 0 1) into 0 5.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.357 * [backup-simplify]: Simplify (+ 0 1) into 1 5.358 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.358 * [backup-simplify]: Simplify (sqrt 1) into 1 5.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.360 * [backup-simplify]: Simplify (+ 0 0) into 0 5.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.361 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.361 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.361 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.361 * [taylor]: Taking taylor expansion of N in N 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 1 into 1 5.361 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.361 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.361 * [taylor]: Taking taylor expansion of N in N 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 1 into 1 5.362 * [backup-simplify]: Simplify (/ 1 1) into 1 5.362 * [taylor]: Taking taylor expansion of 1 in N 5.362 * [backup-simplify]: Simplify 1 into 1 5.362 * [backup-simplify]: Simplify (+ 1 0) into 1 5.363 * [backup-simplify]: Simplify (* 0 1) into 0 5.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.364 * [backup-simplify]: Simplify (+ 0 1) into 1 5.365 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.365 * [backup-simplify]: Simplify (sqrt 1) into 1 5.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.366 * [backup-simplify]: Simplify (+ 0 0) into 0 5.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.368 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.368 * [backup-simplify]: Simplify 1 into 1 5.368 * [backup-simplify]: Simplify 1/2 into 1/2 5.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.369 * [backup-simplify]: Simplify (+ 0 0) into 0 5.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.371 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.371 * [backup-simplify]: Simplify -1/8 into -1/8 5.372 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 5.372 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 5.372 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 5.372 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.372 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.372 * [taylor]: Taking taylor expansion of -1 in N 5.372 * [backup-simplify]: Simplify -1 into -1 5.372 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.372 * [taylor]: Taking taylor expansion of N in N 5.372 * [backup-simplify]: Simplify 0 into 0 5.372 * [backup-simplify]: Simplify 1 into 1 5.372 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.372 * [taylor]: Taking taylor expansion of 1 in N 5.372 * [backup-simplify]: Simplify 1 into 1 5.372 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.372 * [taylor]: Taking taylor expansion of N in N 5.372 * [backup-simplify]: Simplify 0 into 0 5.372 * [backup-simplify]: Simplify 1 into 1 5.373 * [backup-simplify]: Simplify (/ 1 1) into 1 5.373 * [backup-simplify]: Simplify (- 1) into -1 5.373 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.374 * [backup-simplify]: Simplify (* 0 -1) into 0 5.374 * [backup-simplify]: Simplify (* -1 0) into 0 5.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.374 * [backup-simplify]: Simplify (- 0) into 0 5.375 * [backup-simplify]: Simplify (+ 1 0) into 1 5.375 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.376 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.376 * [backup-simplify]: Simplify (sqrt 1) into 1 5.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.376 * [backup-simplify]: Simplify (- 0) into 0 5.377 * [backup-simplify]: Simplify (+ 0 0) into 0 5.377 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.378 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.378 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.378 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.378 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.378 * [taylor]: Taking taylor expansion of -1 in N 5.378 * [backup-simplify]: Simplify -1 into -1 5.378 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.378 * [taylor]: Taking taylor expansion of N in N 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify 1 into 1 5.378 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.378 * [taylor]: Taking taylor expansion of 1 in N 5.378 * [backup-simplify]: Simplify 1 into 1 5.378 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.378 * [taylor]: Taking taylor expansion of N in N 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify 1 into 1 5.379 * [backup-simplify]: Simplify (/ 1 1) into 1 5.379 * [backup-simplify]: Simplify (- 1) into -1 5.379 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.379 * [backup-simplify]: Simplify (* 0 -1) into 0 5.380 * [backup-simplify]: Simplify (* -1 0) into 0 5.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.380 * [backup-simplify]: Simplify (- 0) into 0 5.381 * [backup-simplify]: Simplify (+ 1 0) into 1 5.381 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.381 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.382 * [backup-simplify]: Simplify (sqrt 1) into 1 5.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.382 * [backup-simplify]: Simplify (- 0) into 0 5.383 * [backup-simplify]: Simplify (+ 0 0) into 0 5.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.384 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.384 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.385 * [backup-simplify]: Simplify 1 into 1 5.385 * [backup-simplify]: Simplify -1/2 into -1/2 5.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.385 * [backup-simplify]: Simplify (- 0) into 0 5.386 * [backup-simplify]: Simplify (+ 0 0) into 0 5.387 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.387 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.388 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 5.388 * [backup-simplify]: Simplify -1/8 into -1/8 5.388 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 5.388 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 5.388 * [backup-simplify]: Simplify (sqrt (/ (+ N 1) N)) into (sqrt (/ (+ N 1) N)) 5.388 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 5.388 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.388 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.388 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.388 * [taylor]: Taking taylor expansion of N in N 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 1 into 1 5.388 * [taylor]: Taking taylor expansion of 1 in N 5.388 * [backup-simplify]: Simplify 1 into 1 5.389 * [taylor]: Taking taylor expansion of N in N 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify 1 into 1 5.389 * [backup-simplify]: Simplify (+ 0 1) into 1 5.394 * [backup-simplify]: Simplify (/ 1 1) into 1 5.394 * [backup-simplify]: Simplify (sqrt 0) into 0 5.395 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.395 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.395 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.395 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.395 * [taylor]: Taking taylor expansion of N in N 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify 1 into 1 5.395 * [taylor]: Taking taylor expansion of 1 in N 5.395 * [backup-simplify]: Simplify 1 into 1 5.395 * [taylor]: Taking taylor expansion of N in N 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify 1 into 1 5.395 * [backup-simplify]: Simplify (+ 0 1) into 1 5.396 * [backup-simplify]: Simplify (/ 1 1) into 1 5.396 * [backup-simplify]: Simplify (sqrt 0) into 0 5.397 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.397 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.397 * [backup-simplify]: Simplify (+ 1 0) into 1 5.398 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.399 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.399 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.400 * [backup-simplify]: Simplify (+ 0 0) into 0 5.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.404 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.404 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 5.404 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 5.404 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 5.404 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.404 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.404 * [taylor]: Taking taylor expansion of N in N 5.404 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify 1 into 1 5.404 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.404 * [taylor]: Taking taylor expansion of N in N 5.404 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify 1 into 1 5.405 * [backup-simplify]: Simplify (/ 1 1) into 1 5.405 * [taylor]: Taking taylor expansion of 1 in N 5.405 * [backup-simplify]: Simplify 1 into 1 5.405 * [backup-simplify]: Simplify (+ 1 0) into 1 5.406 * [backup-simplify]: Simplify (* 0 1) into 0 5.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.407 * [backup-simplify]: Simplify (+ 0 1) into 1 5.408 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.408 * [backup-simplify]: Simplify (sqrt 1) into 1 5.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.409 * [backup-simplify]: Simplify (+ 0 0) into 0 5.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.411 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.411 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.411 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.411 * [taylor]: Taking taylor expansion of N in N 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify 1 into 1 5.411 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.411 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.411 * [taylor]: Taking taylor expansion of N in N 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify 1 into 1 5.412 * [backup-simplify]: Simplify (/ 1 1) into 1 5.412 * [taylor]: Taking taylor expansion of 1 in N 5.412 * [backup-simplify]: Simplify 1 into 1 5.412 * [backup-simplify]: Simplify (+ 1 0) into 1 5.412 * [backup-simplify]: Simplify (* 0 1) into 0 5.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.414 * [backup-simplify]: Simplify (+ 0 1) into 1 5.414 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.415 * [backup-simplify]: Simplify (sqrt 1) into 1 5.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.416 * [backup-simplify]: Simplify (+ 0 0) into 0 5.417 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.417 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.418 * [backup-simplify]: Simplify 1 into 1 5.418 * [backup-simplify]: Simplify 1/2 into 1/2 5.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.419 * [backup-simplify]: Simplify (+ 0 0) into 0 5.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.421 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.421 * [backup-simplify]: Simplify -1/8 into -1/8 5.421 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 5.422 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 5.422 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 5.422 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.422 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.422 * [taylor]: Taking taylor expansion of -1 in N 5.422 * [backup-simplify]: Simplify -1 into -1 5.422 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.422 * [taylor]: Taking taylor expansion of N in N 5.422 * [backup-simplify]: Simplify 0 into 0 5.422 * [backup-simplify]: Simplify 1 into 1 5.422 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.422 * [taylor]: Taking taylor expansion of 1 in N 5.422 * [backup-simplify]: Simplify 1 into 1 5.422 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.422 * [taylor]: Taking taylor expansion of N in N 5.422 * [backup-simplify]: Simplify 0 into 0 5.422 * [backup-simplify]: Simplify 1 into 1 5.422 * [backup-simplify]: Simplify (/ 1 1) into 1 5.423 * [backup-simplify]: Simplify (- 1) into -1 5.423 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.424 * [backup-simplify]: Simplify (* 0 -1) into 0 5.424 * [backup-simplify]: Simplify (* -1 0) into 0 5.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.425 * [backup-simplify]: Simplify (- 0) into 0 5.426 * [backup-simplify]: Simplify (+ 1 0) into 1 5.426 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.427 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.427 * [backup-simplify]: Simplify (sqrt 1) into 1 5.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.429 * [backup-simplify]: Simplify (- 0) into 0 5.429 * [backup-simplify]: Simplify (+ 0 0) into 0 5.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.431 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.432 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.432 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.432 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.432 * [taylor]: Taking taylor expansion of -1 in N 5.432 * [backup-simplify]: Simplify -1 into -1 5.432 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.432 * [taylor]: Taking taylor expansion of N in N 5.432 * [backup-simplify]: Simplify 0 into 0 5.432 * [backup-simplify]: Simplify 1 into 1 5.432 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.432 * [taylor]: Taking taylor expansion of 1 in N 5.432 * [backup-simplify]: Simplify 1 into 1 5.432 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.432 * [taylor]: Taking taylor expansion of N in N 5.432 * [backup-simplify]: Simplify 0 into 0 5.432 * [backup-simplify]: Simplify 1 into 1 5.433 * [backup-simplify]: Simplify (/ 1 1) into 1 5.433 * [backup-simplify]: Simplify (- 1) into -1 5.433 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.434 * [backup-simplify]: Simplify (* 0 -1) into 0 5.434 * [backup-simplify]: Simplify (* -1 0) into 0 5.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.436 * [backup-simplify]: Simplify (- 0) into 0 5.436 * [backup-simplify]: Simplify (+ 1 0) into 1 5.437 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.437 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.438 * [backup-simplify]: Simplify (sqrt 1) into 1 5.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.439 * [backup-simplify]: Simplify (- 0) into 0 5.439 * [backup-simplify]: Simplify (+ 0 0) into 0 5.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.441 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.442 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.442 * [backup-simplify]: Simplify 1 into 1 5.442 * [backup-simplify]: Simplify -1/2 into -1/2 5.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.443 * [backup-simplify]: Simplify (- 0) into 0 5.444 * [backup-simplify]: Simplify (+ 0 0) into 0 5.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.446 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.448 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 5.448 * [backup-simplify]: Simplify -1/8 into -1/8 5.448 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 5.448 * * * [progress]: simplifying candidates 5.448 * * * * [progress]: [ 1 / 134 ] simplifiying candidate # 5.448 * * * * [progress]: [ 2 / 134 ] simplifiying candidate # 5.448 * * * * [progress]: [ 3 / 134 ] simplifiying candidate # 5.448 * * * * [progress]: [ 4 / 134 ] simplifiying candidate # 5.448 * * * * [progress]: [ 5 / 134 ] simplifiying candidate # 5.449 * * * * [progress]: [ 6 / 134 ] simplifiying candidate # 5.449 * * * * [progress]: [ 7 / 134 ] simplifiying candidate # 5.449 * * * * [progress]: [ 8 / 134 ] simplifiying candidate # 5.449 * * * * [progress]: [ 9 / 134 ] simplifiying candidate # 5.449 * * * * [progress]: [ 10 / 134 ] simplifiying candidate # 5.449 * * * * [progress]: [ 11 / 134 ] simplifiying candidate # 5.449 * * * * [progress]: [ 12 / 134 ] simplifiying candidate # 5.449 * * * * [progress]: [ 13 / 134 ] simplifiying candidate # 5.449 * * * * [progress]: [ 14 / 134 ] simplifiying candidate # 5.449 * * * * [progress]: [ 15 / 134 ] simplifiying candidate # 5.449 * * * * [progress]: [ 16 / 134 ] simplifiying candidate # 5.449 * * * * [progress]: [ 17 / 134 ] simplifiying candidate # 5.449 * * * * [progress]: [ 18 / 134 ] simplifiying candidate # 5.449 * * * * [progress]: [ 19 / 134 ] simplifiying candidate # 5.450 * * * * [progress]: [ 20 / 134 ] simplifiying candidate # 5.450 * * * * [progress]: [ 21 / 134 ] simplifiying candidate # 5.450 * * * * [progress]: [ 22 / 134 ] simplifiying candidate # 5.450 * * * * [progress]: [ 23 / 134 ] simplifiying candidate # 5.450 * * * * [progress]: [ 24 / 134 ] simplifiying candidate # 5.450 * * * * [progress]: [ 25 / 134 ] simplifiying candidate # 5.450 * * * * [progress]: [ 26 / 134 ] simplifiying candidate # 5.450 * * * * [progress]: [ 27 / 134 ] simplifiying candidate # 5.450 * * * * [progress]: [ 28 / 134 ] simplifiying candidate # 5.450 * * * * [progress]: [ 29 / 134 ] simplifiying candidate # 5.450 * * * * [progress]: [ 30 / 134 ] simplifiying candidate # 5.450 * * * * [progress]: [ 31 / 134 ] simplifiying candidate # 5.450 * * * * [progress]: [ 32 / 134 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ (+ N 1) N)))))))> 5.450 * * * * [progress]: [ 33 / 134 ] simplifiying candidate # 5.450 * * * * [progress]: [ 34 / 134 ] simplifiying candidate # 5.450 * * * * [progress]: [ 35 / 134 ] simplifiying candidate # 5.451 * * * * [progress]: [ 36 / 134 ] simplifiying candidate # 5.451 * * * * [progress]: [ 37 / 134 ] simplifiying candidate # 5.451 * * * * [progress]: [ 38 / 134 ] simplifiying candidate # 5.451 * * * * [progress]: [ 39 / 134 ] simplifiying candidate # 5.451 * * * * [progress]: [ 40 / 134 ] simplifiying candidate # 5.451 * * * * [progress]: [ 41 / 134 ] simplifiying candidate # 5.451 * * * * [progress]: [ 42 / 134 ] simplifiying candidate # 5.451 * * * * [progress]: [ 43 / 134 ] simplifiying candidate # 5.451 * * * * [progress]: [ 44 / 134 ] simplifiying candidate # 5.451 * * * * [progress]: [ 45 / 134 ] simplifiying candidate # 5.451 * * * * [progress]: [ 46 / 134 ] simplifiying candidate # 5.451 * * * * [progress]: [ 47 / 134 ] simplifiying candidate # 5.451 * * * * [progress]: [ 48 / 134 ] simplifiying candidate # 5.451 * * * * [progress]: [ 49 / 134 ] simplifiying candidate # 5.451 * * * * [progress]: [ 50 / 134 ] simplifiying candidate # 5.452 * * * * [progress]: [ 51 / 134 ] simplifiying candidate # 5.452 * * * * [progress]: [ 52 / 134 ] simplifiying candidate # 5.452 * * * * [progress]: [ 53 / 134 ] simplifiying candidate # 5.452 * * * * [progress]: [ 54 / 134 ] simplifiying candidate # 5.452 * * * * [progress]: [ 55 / 134 ] simplifiying candidate # 5.452 * * * * [progress]: [ 56 / 134 ] simplifiying candidate # 5.452 * * * * [progress]: [ 57 / 134 ] simplifiying candidate # 5.452 * * * * [progress]: [ 58 / 134 ] simplifiying candidate # 5.452 * * * * [progress]: [ 59 / 134 ] simplifiying candidate # 5.452 * * * * [progress]: [ 60 / 134 ] simplifiying candidate # 5.452 * * * * [progress]: [ 61 / 134 ] simplifiying candidate # 5.452 * * * * [progress]: [ 62 / 134 ] simplifiying candidate # 5.452 * * * * [progress]: [ 63 / 134 ] simplifiying candidate # 5.452 * * * * [progress]: [ 64 / 134 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N)))))> 5.452 * * * * [progress]: [ 65 / 134 ] simplifiying candidate # 5.452 * * * * [progress]: [ 66 / 134 ] simplifiying candidate # 5.453 * * * * [progress]: [ 67 / 134 ] simplifiying candidate # 5.453 * * * * [progress]: [ 68 / 134 ] simplifiying candidate # 5.453 * * * * [progress]: [ 69 / 134 ] simplifiying candidate # 5.453 * * * * [progress]: [ 70 / 134 ] simplifiying candidate # 5.453 * * * * [progress]: [ 71 / 134 ] simplifiying candidate # 5.453 * * * * [progress]: [ 72 / 134 ] simplifiying candidate # 5.453 * * * * [progress]: [ 73 / 134 ] simplifiying candidate # 5.453 * * * * [progress]: [ 74 / 134 ] simplifiying candidate # 5.453 * * * * [progress]: [ 75 / 134 ] simplifiying candidate # 5.453 * * * * [progress]: [ 76 / 134 ] simplifiying candidate # 5.453 * * * * [progress]: [ 77 / 134 ] simplifiying candidate # 5.454 * * * * [progress]: [ 78 / 134 ] simplifiying candidate # 5.454 * * * * [progress]: [ 79 / 134 ] simplifiying candidate # 5.454 * * * * [progress]: [ 80 / 134 ] simplifiying candidate # 5.454 * * * * [progress]: [ 81 / 134 ] simplifiying candidate # 5.454 * * * * [progress]: [ 82 / 134 ] simplifiying candidate # 5.454 * * * * [progress]: [ 83 / 134 ] simplifiying candidate # 5.454 * * * * [progress]: [ 84 / 134 ] simplifiying candidate # 5.454 * * * * [progress]: [ 85 / 134 ] simplifiying candidate # 5.454 * * * * [progress]: [ 86 / 134 ] simplifiying candidate # 5.454 * * * * [progress]: [ 87 / 134 ] simplifiying candidate # 5.454 * * * * [progress]: [ 88 / 134 ] simplifiying candidate # 5.454 * * * * [progress]: [ 89 / 134 ] simplifiying candidate # 5.454 * * * * [progress]: [ 90 / 134 ] simplifiying candidate # 5.454 * * * * [progress]: [ 91 / 134 ] simplifiying candidate # 5.454 * * * * [progress]: [ 92 / 134 ] simplifiying candidate # 5.455 * * * * [progress]: [ 93 / 134 ] simplifiying candidate #real (real->posit16 (sqrt (/ (+ N 1) N)))))))> 5.455 * * * * [progress]: [ 94 / 134 ] simplifiying candidate # 5.455 * * * * [progress]: [ 95 / 134 ] simplifiying candidate # 5.455 * * * * [progress]: [ 96 / 134 ] simplifiying candidate # 5.455 * * * * [progress]: [ 97 / 134 ] simplifiying candidate # 5.455 * * * * [progress]: [ 98 / 134 ] simplifiying candidate # 5.455 * * * * [progress]: [ 99 / 134 ] simplifiying candidate # 5.455 * * * * [progress]: [ 100 / 134 ] simplifiying candidate # 5.455 * * * * [progress]: [ 101 / 134 ] simplifiying candidate # 5.455 * * * * [progress]: [ 102 / 134 ] simplifiying candidate # 5.455 * * * * [progress]: [ 103 / 134 ] simplifiying candidate # 5.455 * * * * [progress]: [ 104 / 134 ] simplifiying candidate # 5.456 * * * * [progress]: [ 105 / 134 ] simplifiying candidate # 5.456 * * * * [progress]: [ 106 / 134 ] simplifiying candidate # 5.456 * * * * [progress]: [ 107 / 134 ] simplifiying candidate # 5.456 * * * * [progress]: [ 108 / 134 ] simplifiying candidate # 5.456 * * * * [progress]: [ 109 / 134 ] simplifiying candidate # 5.456 * * * * [progress]: [ 110 / 134 ] simplifiying candidate # 5.456 * * * * [progress]: [ 111 / 134 ] simplifiying candidate # 5.456 * * * * [progress]: [ 112 / 134 ] simplifiying candidate # 5.456 * * * * [progress]: [ 113 / 134 ] simplifiying candidate # 5.456 * * * * [progress]: [ 114 / 134 ] simplifiying candidate # 5.456 * * * * [progress]: [ 115 / 134 ] simplifiying candidate # 5.456 * * * * [progress]: [ 116 / 134 ] simplifiying candidate # 5.456 * * * * [progress]: [ 117 / 134 ] simplifiying candidate # 5.456 * * * * [progress]: [ 118 / 134 ] simplifiying candidate # 5.457 * * * * [progress]: [ 119 / 134 ] simplifiying candidate # 5.457 * * * * [progress]: [ 120 / 134 ] simplifiying candidate # 5.457 * * * * [progress]: [ 121 / 134 ] simplifiying candidate # 5.457 * * * * [progress]: [ 122 / 134 ] simplifiying candidate #real (real->posit16 (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N)))))> 5.457 * * * * [progress]: [ 123 / 134 ] simplifiying candidate # 5.457 * * * * [progress]: [ 124 / 134 ] simplifiying candidate # 5.457 * * * * [progress]: [ 125 / 134 ] simplifiying candidate # 5.457 * * * * [progress]: [ 126 / 134 ] simplifiying candidate # 5.457 * * * * [progress]: [ 127 / 134 ] simplifiying candidate # 5.457 * * * * [progress]: [ 128 / 134 ] simplifiying candidate # 5.457 * * * * [progress]: [ 129 / 134 ] simplifiying candidate # 5.457 * * * * [progress]: [ 130 / 134 ] simplifiying candidate # 5.457 * * * * [progress]: [ 131 / 134 ] simplifiying candidate # 5.457 * * * * [progress]: [ 132 / 134 ] simplifiying candidate # 5.457 * * * * [progress]: [ 133 / 134 ] simplifiying candidate # 5.457 * * * * [progress]: [ 134 / 134 ] simplifiying candidate # 5.460 * [simplify]: Simplifying: (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ N 1) N)))) (log (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) (log (sqrt (cbrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1))) (log (sqrt (/ (cbrt (+ N 1)) N))) (log (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) 1))) (log (sqrt (/ (sqrt (+ N 1)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1) N))) (log (sqrt (+ N 1))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log 1) (log (sqrt (/ (+ N 1) N))) (log (sqrt (+ N 1))) (log (sqrt N)) (log (/ (+ N 1) N)) (log (sqrt (/ (+ N 1) N))) (log (/ (+ N 1) N)) (log (log (sqrt (/ (+ N 1) N)))) (exp (log (sqrt (/ (+ N 1) N)))) (* (cbrt (log (sqrt (/ (+ N 1) N)))) (cbrt (log (sqrt (/ (+ N 1) N))))) (cbrt (log (sqrt (/ (+ N 1) N)))) (* (* (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N)))) (sqrt (log (sqrt (/ (+ N 1) N)))) (sqrt (log (sqrt (/ (+ N 1) N)))) (real->posit16 (log (sqrt (/ (+ N 1) N)))) (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ N 1) N)))) (log (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) (log (sqrt (cbrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1))) (log (sqrt (/ (cbrt (+ N 1)) N))) (log (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) 1))) (log (sqrt (/ (sqrt (+ N 1)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1) N))) (log (sqrt (+ N 1))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log 1) (log (sqrt (/ (+ N 1) N))) (log (sqrt (+ N 1))) (log (sqrt N)) (log (/ (+ N 1) N)) (log (sqrt (/ (+ N 1) N))) (log (/ (+ N 1) N)) (log (log (sqrt (/ (+ N 1) N)))) (exp (log (sqrt (/ (+ N 1) N)))) (* (cbrt (log (sqrt (/ (+ N 1) N)))) (cbrt (log (sqrt (/ (+ N 1) N))))) (cbrt (log (sqrt (/ (+ N 1) N)))) (* (* (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N)))) (sqrt (log (sqrt (/ (+ N 1) N)))) (sqrt (log (sqrt (/ (+ N 1) N)))) (real->posit16 (log (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))) (exp (sqrt (/ (+ N 1) N))) (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N)))) (cbrt (sqrt (/ (+ N 1) N))) (* (* (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N))) (sqrt (/ (+ N 1) N))) (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (sqrt (cbrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (sqrt (/ (cbrt (+ N 1)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (sqrt (/ (cbrt (+ N 1)) N)) (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1)) (cbrt N))) (sqrt (/ (sqrt (+ N 1)) (sqrt N))) (sqrt (/ (sqrt (+ N 1)) (sqrt N))) (sqrt (/ (sqrt (+ N 1)) 1)) (sqrt (/ (sqrt (+ N 1)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1) N)) (sqrt 1) (sqrt (/ (+ N 1) N)) (sqrt (+ N 1)) (sqrt (/ 1 N)) (sqrt (+ N 1)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (real->posit16 (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (exp (sqrt (/ (+ N 1) N))) (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N)))) (cbrt (sqrt (/ (+ N 1) N))) (* (* (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N))) (sqrt (/ (+ N 1) N))) (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (sqrt (cbrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (sqrt (/ (cbrt (+ N 1)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (sqrt (/ (cbrt (+ N 1)) N)) (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1)) (cbrt N))) (sqrt (/ (sqrt (+ N 1)) (sqrt N))) (sqrt (/ (sqrt (+ N 1)) (sqrt N))) (sqrt (/ (sqrt (+ N 1)) 1)) (sqrt (/ (sqrt (+ N 1)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1) N)) (sqrt 1) (sqrt (/ (+ N 1) N)) (sqrt (+ N 1)) (sqrt (/ 1 N)) (sqrt (+ N 1)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (real->posit16 (sqrt (/ (+ N 1) N))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 5.463 * * [simplify]: iteration 0: 124 enodes 5.512 * * [simplify]: iteration 1: 202 enodes 5.588 * * [simplify]: iteration 2: 415 enodes 5.731 * * [simplify]: iteration 3: 1011 enodes 6.370 * * [simplify]: iteration 4: 3056 enodes 7.550 * * [simplify]: iteration complete: 5001 enodes 7.551 * * [simplify]: Extracting #0: cost 65 inf + 0 7.551 * * [simplify]: Extracting #1: cost 148 inf + 3 7.553 * * [simplify]: Extracting #2: cost 928 inf + 398 7.561 * * [simplify]: Extracting #3: cost 1000 inf + 33509 7.590 * * [simplify]: Extracting #4: cost 389 inf + 118544 7.630 * * [simplify]: Extracting #5: cost 191 inf + 181938 7.664 * * [simplify]: Extracting #6: cost 58 inf + 242767 7.715 * * [simplify]: Extracting #7: cost 8 inf + 257821 7.773 * * [simplify]: Extracting #8: cost 0 inf + 260096 7.846 * [simplify]: Simplified to: (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ 1 N) N)))) (log (fabs (cbrt (/ (+ 1 N) N)))) (log (sqrt (cbrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (fabs (/ (cbrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)))) (log (sqrt (/ (cbrt (+ 1 N)) (sqrt N)))) (log (fabs (cbrt (+ 1 N)))) (log (sqrt (/ (cbrt (+ 1 N)) N))) (log (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (/ (sqrt (+ 1 N)) N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1 N) (sqrt N)))) 0 (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1 N) (sqrt N)))) 0 (log (sqrt (/ (+ 1 N) N))) 0 (log (sqrt (/ (+ 1 N) N))) (log (sqrt (+ 1 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) 0 (log (sqrt (/ (+ 1 N) N))) (log (sqrt (+ 1 N))) (log (sqrt N)) (log (/ (+ 1 N) N)) (log (sqrt (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (log (sqrt (/ (+ 1 N) N)))) (sqrt (/ (+ 1 N) N)) (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N)))) (* (log (sqrt (/ (+ 1 N) N))) (* (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))))) (sqrt (log (sqrt (/ (+ 1 N) N)))) (sqrt (log (sqrt (/ (+ 1 N) N)))) (real->posit16 (log (sqrt (/ (+ 1 N) N)))) (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ 1 N) N)))) (log (fabs (cbrt (/ (+ 1 N) N)))) (log (sqrt (cbrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (fabs (/ (cbrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)))) (log (sqrt (/ (cbrt (+ 1 N)) (sqrt N)))) (log (fabs (cbrt (+ 1 N)))) (log (sqrt (/ (cbrt (+ 1 N)) N))) (log (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (/ (sqrt (+ 1 N)) N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1 N) (sqrt N)))) 0 (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1 N) (sqrt N)))) 0 (log (sqrt (/ (+ 1 N) N))) 0 (log (sqrt (/ (+ 1 N) N))) (log (sqrt (+ 1 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) 0 (log (sqrt (/ (+ 1 N) N))) (log (sqrt (+ 1 N))) (log (sqrt N)) (log (/ (+ 1 N) N)) (log (sqrt (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (log (sqrt (/ (+ 1 N) N)))) (sqrt (/ (+ 1 N) N)) (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N)))) (* (log (sqrt (/ (+ 1 N) N))) (* (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))))) (sqrt (log (sqrt (/ (+ 1 N) N)))) (sqrt (log (sqrt (/ (+ 1 N) N)))) (real->posit16 (log (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N))) (exp (sqrt (/ (+ 1 N) N))) (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N)))) (cbrt (sqrt (/ (+ 1 N) N))) (* (sqrt (/ (+ 1 N) N)) (/ (+ 1 N) N)) (fabs (cbrt (/ (+ 1 N) N))) (sqrt (cbrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (fabs (/ (cbrt (+ 1 N)) (cbrt N))) (sqrt (/ (cbrt (+ 1 N)) (cbrt N))) (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (sqrt (/ (cbrt (+ 1 N)) (sqrt N))) (fabs (cbrt (+ 1 N))) (sqrt (/ (cbrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ 1 N)) (cbrt N))) (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) (sqrt (sqrt (+ 1 N))) (sqrt (/ (sqrt (+ 1 N)) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ 1 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1 N) (sqrt N))) 1 (sqrt (/ (+ 1 N) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ 1 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1 N) (sqrt N))) 1 (sqrt (/ (+ 1 N) N)) 1 (sqrt (/ (+ 1 N) N)) (sqrt (+ 1 N)) (sqrt (/ 1 N)) (sqrt (+ 1 N)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (real->posit16 (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (exp (sqrt (/ (+ 1 N) N))) (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N)))) (cbrt (sqrt (/ (+ 1 N) N))) (* (sqrt (/ (+ 1 N) N)) (/ (+ 1 N) N)) (fabs (cbrt (/ (+ 1 N) N))) (sqrt (cbrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (fabs (/ (cbrt (+ 1 N)) (cbrt N))) (sqrt (/ (cbrt (+ 1 N)) (cbrt N))) (sqrt (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (sqrt (/ (cbrt (+ 1 N)) (sqrt N))) (fabs (cbrt (+ 1 N))) (sqrt (/ (cbrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ 1 N)) (cbrt N))) (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) (sqrt (sqrt (+ 1 N))) (sqrt (/ (sqrt (+ 1 N)) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ 1 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1 N) (sqrt N))) 1 (sqrt (/ (+ 1 N) N)) (sqrt (/ (/ 1 (cbrt N)) (cbrt N))) (sqrt (/ (+ 1 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1 N) (sqrt N))) 1 (sqrt (/ (+ 1 N) N)) 1 (sqrt (/ (+ 1 N) N)) (sqrt (+ 1 N)) (sqrt (/ 1 N)) (sqrt (+ 1 N)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (real->posit16 (sqrt (/ (+ 1 N) N))) (+ (log +nan.0) (- (* (* +nan.0 N) N) (* +nan.0 N))) (+ (/ (/ (/ 1/6 N) N) N) (+ (/ 1/2 N) (/ -1/4 (* N N)))) (+ (/ (/ (/ 1/6 N) N) N) (+ (/ 1/2 N) (/ -1/4 (* N N)))) (+ (log +nan.0) (- (* (* +nan.0 N) N) (* +nan.0 N))) (+ (/ (/ (/ 1/6 N) N) N) (+ (/ 1/2 N) (/ -1/4 (* N N)))) (+ (/ (/ (/ 1/6 N) N) N) (+ (/ 1/2 N) (/ -1/4 (* N N)))) (- (* (* +nan.0 N) N) (+ +nan.0 (* +nan.0 N))) (+ (/ -1/8 (* N N)) (+ (/ 1/2 N) 1)) (+ (/ -1/8 (* N N)) (+ (/ 1/2 N) 1)) (- (* (* +nan.0 N) N) (+ +nan.0 (* +nan.0 N))) (+ (/ -1/8 (* N N)) (+ (/ 1/2 N) 1)) (+ (/ -1/8 (* N N)) (+ (/ 1/2 N) 1)) 7.859 * * * [progress]: adding candidates to table 8.432 * * [progress]: iteration 4 / 4 8.432 * * * [progress]: picking best candidate 8.449 * * * * [pick]: Picked # 8.449 * * * [progress]: localizing error 8.488 * * * [progress]: generating rewritten candidates 8.488 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 8.496 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 8.503 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 8.514 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 8.544 * * * [progress]: generating series expansions 8.544 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 8.544 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1) N))) into (log (sqrt (/ (+ N 1) N))) 8.544 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 8.544 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 8.544 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 8.544 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.544 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.544 * [taylor]: Taking taylor expansion of N in N 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 1 into 1 8.544 * [taylor]: Taking taylor expansion of 1 in N 8.544 * [backup-simplify]: Simplify 1 into 1 8.544 * [taylor]: Taking taylor expansion of N in N 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 1 into 1 8.545 * [backup-simplify]: Simplify (+ 0 1) into 1 8.546 * [backup-simplify]: Simplify (/ 1 1) into 1 8.546 * [backup-simplify]: Simplify (sqrt 0) into 0 8.552 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.553 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.553 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 8.553 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 8.553 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.553 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.553 * [taylor]: Taking taylor expansion of N in N 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 1 into 1 8.553 * [taylor]: Taking taylor expansion of 1 in N 8.553 * [backup-simplify]: Simplify 1 into 1 8.553 * [taylor]: Taking taylor expansion of N in N 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 1 into 1 8.553 * [backup-simplify]: Simplify (+ 0 1) into 1 8.553 * [backup-simplify]: Simplify (/ 1 1) into 1 8.554 * [backup-simplify]: Simplify (sqrt 0) into 0 8.554 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.555 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.555 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.555 * [backup-simplify]: Simplify (+ 1 0) into 1 8.556 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.558 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.561 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.562 * [backup-simplify]: Simplify (+ 0 0) into 0 8.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.573 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 8.573 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.573 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 8.573 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 8.573 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 8.573 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 8.573 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 8.573 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.574 * [taylor]: Taking taylor expansion of N in N 8.574 * [backup-simplify]: Simplify 0 into 0 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.574 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.574 * [taylor]: Taking taylor expansion of N in N 8.574 * [backup-simplify]: Simplify 0 into 0 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [backup-simplify]: Simplify (/ 1 1) into 1 8.574 * [taylor]: Taking taylor expansion of 1 in N 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [backup-simplify]: Simplify (+ 1 0) into 1 8.575 * [backup-simplify]: Simplify (* 0 1) into 0 8.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.576 * [backup-simplify]: Simplify (+ 0 1) into 1 8.576 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.576 * [backup-simplify]: Simplify (sqrt 1) into 1 8.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.577 * [backup-simplify]: Simplify (+ 0 0) into 0 8.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.578 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.578 * [backup-simplify]: Simplify (log 1) into 0 8.578 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 8.578 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 8.578 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.578 * [taylor]: Taking taylor expansion of N in N 8.578 * [backup-simplify]: Simplify 0 into 0 8.578 * [backup-simplify]: Simplify 1 into 1 8.578 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.578 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.578 * [taylor]: Taking taylor expansion of N in N 8.578 * [backup-simplify]: Simplify 0 into 0 8.578 * [backup-simplify]: Simplify 1 into 1 8.579 * [backup-simplify]: Simplify (/ 1 1) into 1 8.579 * [taylor]: Taking taylor expansion of 1 in N 8.579 * [backup-simplify]: Simplify 1 into 1 8.579 * [backup-simplify]: Simplify (+ 1 0) into 1 8.579 * [backup-simplify]: Simplify (* 0 1) into 0 8.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.580 * [backup-simplify]: Simplify (+ 0 1) into 1 8.580 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.580 * [backup-simplify]: Simplify (sqrt 1) into 1 8.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.581 * [backup-simplify]: Simplify (+ 0 0) into 0 8.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.582 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.582 * [backup-simplify]: Simplify (log 1) into 0 8.582 * [backup-simplify]: Simplify 0 into 0 8.583 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 8.583 * [backup-simplify]: Simplify 1/2 into 1/2 8.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.584 * [backup-simplify]: Simplify (+ 0 0) into 0 8.585 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 8.585 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 8.587 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 8.587 * [backup-simplify]: Simplify -1/4 into -1/4 8.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.588 * [backup-simplify]: Simplify (+ 0 0) into 0 8.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 8.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 8.592 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 8.592 * [backup-simplify]: Simplify 1/6 into 1/6 8.592 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 8.592 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 8.592 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 8.593 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 8.593 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 8.593 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.593 * [taylor]: Taking taylor expansion of -1 in N 8.593 * [backup-simplify]: Simplify -1 into -1 8.593 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.593 * [taylor]: Taking taylor expansion of N in N 8.593 * [backup-simplify]: Simplify 0 into 0 8.593 * [backup-simplify]: Simplify 1 into 1 8.593 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.593 * [taylor]: Taking taylor expansion of 1 in N 8.593 * [backup-simplify]: Simplify 1 into 1 8.593 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.593 * [taylor]: Taking taylor expansion of N in N 8.593 * [backup-simplify]: Simplify 0 into 0 8.593 * [backup-simplify]: Simplify 1 into 1 8.593 * [backup-simplify]: Simplify (/ 1 1) into 1 8.593 * [backup-simplify]: Simplify (- 1) into -1 8.594 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.594 * [backup-simplify]: Simplify (* 0 -1) into 0 8.594 * [backup-simplify]: Simplify (* -1 0) into 0 8.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.595 * [backup-simplify]: Simplify (- 0) into 0 8.595 * [backup-simplify]: Simplify (+ 1 0) into 1 8.595 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.596 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.596 * [backup-simplify]: Simplify (sqrt 1) into 1 8.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.597 * [backup-simplify]: Simplify (- 0) into 0 8.597 * [backup-simplify]: Simplify (+ 0 0) into 0 8.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.599 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.600 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 8.600 * [backup-simplify]: Simplify (log 1) into 0 8.600 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 8.600 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 8.600 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.600 * [taylor]: Taking taylor expansion of -1 in N 8.600 * [backup-simplify]: Simplify -1 into -1 8.600 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.600 * [taylor]: Taking taylor expansion of N in N 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 1 into 1 8.600 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.600 * [taylor]: Taking taylor expansion of 1 in N 8.600 * [backup-simplify]: Simplify 1 into 1 8.601 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.601 * [taylor]: Taking taylor expansion of N in N 8.601 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify 1 into 1 8.601 * [backup-simplify]: Simplify (/ 1 1) into 1 8.601 * [backup-simplify]: Simplify (- 1) into -1 8.602 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.602 * [backup-simplify]: Simplify (* 0 -1) into 0 8.603 * [backup-simplify]: Simplify (* -1 0) into 0 8.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.604 * [backup-simplify]: Simplify (- 0) into 0 8.604 * [backup-simplify]: Simplify (+ 1 0) into 1 8.605 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.605 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.606 * [backup-simplify]: Simplify (sqrt 1) into 1 8.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.607 * [backup-simplify]: Simplify (- 0) into 0 8.607 * [backup-simplify]: Simplify (+ 0 0) into 0 8.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.609 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.610 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 8.610 * [backup-simplify]: Simplify (log 1) into 0 8.611 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 8.612 * [backup-simplify]: Simplify -1/2 into -1/2 8.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.614 * [backup-simplify]: Simplify (- 0) into 0 8.614 * [backup-simplify]: Simplify (+ 0 0) into 0 8.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 8.617 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 8.618 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 8.621 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 8.621 * [backup-simplify]: Simplify -1/4 into -1/4 8.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.623 * [backup-simplify]: Simplify (- 0) into 0 8.623 * [backup-simplify]: Simplify (+ 0 0) into 0 8.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 8.626 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 8.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 8.633 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 8.633 * [backup-simplify]: Simplify -1/6 into -1/6 8.634 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 8.634 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 8.634 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 8.634 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 8.634 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 8.634 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.634 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.634 * [taylor]: Taking taylor expansion of N in N 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify 1 into 1 8.634 * [taylor]: Taking taylor expansion of 1 in N 8.634 * [backup-simplify]: Simplify 1 into 1 8.634 * [taylor]: Taking taylor expansion of N in N 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 1 into 1 8.635 * [backup-simplify]: Simplify (+ 0 1) into 1 8.635 * [backup-simplify]: Simplify (/ 1 1) into 1 8.636 * [backup-simplify]: Simplify (log 1) into 0 8.636 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 8.636 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.636 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.636 * [taylor]: Taking taylor expansion of N in N 8.636 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify 1 into 1 8.636 * [taylor]: Taking taylor expansion of 1 in N 8.636 * [backup-simplify]: Simplify 1 into 1 8.636 * [taylor]: Taking taylor expansion of N in N 8.636 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify 1 into 1 8.637 * [backup-simplify]: Simplify (+ 0 1) into 1 8.637 * [backup-simplify]: Simplify (/ 1 1) into 1 8.637 * [backup-simplify]: Simplify (log 1) into 0 8.638 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.638 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 8.638 * [backup-simplify]: Simplify (+ 1 0) into 1 8.639 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.641 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.641 * [backup-simplify]: Simplify 1 into 1 8.641 * [backup-simplify]: Simplify (+ 0 0) into 0 8.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.645 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.645 * [backup-simplify]: Simplify -1/2 into -1/2 8.645 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 8.645 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 8.646 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 8.646 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 8.646 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.646 * [taylor]: Taking taylor expansion of N in N 8.646 * [backup-simplify]: Simplify 0 into 0 8.646 * [backup-simplify]: Simplify 1 into 1 8.646 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.646 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.646 * [taylor]: Taking taylor expansion of N in N 8.646 * [backup-simplify]: Simplify 0 into 0 8.646 * [backup-simplify]: Simplify 1 into 1 8.646 * [backup-simplify]: Simplify (/ 1 1) into 1 8.646 * [taylor]: Taking taylor expansion of 1 in N 8.646 * [backup-simplify]: Simplify 1 into 1 8.647 * [backup-simplify]: Simplify (+ 1 0) into 1 8.647 * [backup-simplify]: Simplify (* 0 1) into 0 8.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.648 * [backup-simplify]: Simplify (+ 0 1) into 1 8.649 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.650 * [backup-simplify]: Simplify (log 1) into 0 8.650 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 8.650 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.650 * [taylor]: Taking taylor expansion of N in N 8.650 * [backup-simplify]: Simplify 0 into 0 8.650 * [backup-simplify]: Simplify 1 into 1 8.650 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.650 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.650 * [taylor]: Taking taylor expansion of N in N 8.650 * [backup-simplify]: Simplify 0 into 0 8.650 * [backup-simplify]: Simplify 1 into 1 8.650 * [backup-simplify]: Simplify (/ 1 1) into 1 8.650 * [taylor]: Taking taylor expansion of 1 in N 8.650 * [backup-simplify]: Simplify 1 into 1 8.651 * [backup-simplify]: Simplify (+ 1 0) into 1 8.651 * [backup-simplify]: Simplify (* 0 1) into 0 8.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.652 * [backup-simplify]: Simplify (+ 0 1) into 1 8.653 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.653 * [backup-simplify]: Simplify (log 1) into 0 8.654 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.655 * [backup-simplify]: Simplify (+ 0 0) into 0 8.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.657 * [backup-simplify]: Simplify 1 into 1 8.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.659 * [backup-simplify]: Simplify (+ 0 0) into 0 8.660 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 8.662 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.663 * [backup-simplify]: Simplify -1/2 into -1/2 8.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.664 * [backup-simplify]: Simplify (+ 0 0) into 0 8.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 8.678 * [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 8.678 * [backup-simplify]: Simplify 1/3 into 1/3 8.678 * [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)))) 8.679 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 8.679 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 8.679 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 8.679 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.679 * [taylor]: Taking taylor expansion of -1 in N 8.679 * [backup-simplify]: Simplify -1 into -1 8.679 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.679 * [taylor]: Taking taylor expansion of N in N 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.679 * [taylor]: Taking taylor expansion of 1 in N 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.679 * [taylor]: Taking taylor expansion of N in N 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 1 into 1 8.680 * [backup-simplify]: Simplify (/ 1 1) into 1 8.680 * [backup-simplify]: Simplify (- 1) into -1 8.681 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.681 * [backup-simplify]: Simplify (* 0 -1) into 0 8.681 * [backup-simplify]: Simplify (* -1 0) into 0 8.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.683 * [backup-simplify]: Simplify (- 0) into 0 8.683 * [backup-simplify]: Simplify (+ 1 0) into 1 8.684 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.685 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.685 * [backup-simplify]: Simplify (log 1) into 0 8.685 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 8.685 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.685 * [taylor]: Taking taylor expansion of -1 in N 8.685 * [backup-simplify]: Simplify -1 into -1 8.685 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.685 * [taylor]: Taking taylor expansion of N in N 8.685 * [backup-simplify]: Simplify 0 into 0 8.685 * [backup-simplify]: Simplify 1 into 1 8.685 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.685 * [taylor]: Taking taylor expansion of 1 in N 8.685 * [backup-simplify]: Simplify 1 into 1 8.685 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.685 * [taylor]: Taking taylor expansion of N in N 8.685 * [backup-simplify]: Simplify 0 into 0 8.685 * [backup-simplify]: Simplify 1 into 1 8.686 * [backup-simplify]: Simplify (/ 1 1) into 1 8.686 * [backup-simplify]: Simplify (- 1) into -1 8.687 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.687 * [backup-simplify]: Simplify (* 0 -1) into 0 8.687 * [backup-simplify]: Simplify (* -1 0) into 0 8.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.689 * [backup-simplify]: Simplify (- 0) into 0 8.689 * [backup-simplify]: Simplify (+ 1 0) into 1 8.690 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.691 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.691 * [backup-simplify]: Simplify (log 1) into 0 8.691 * [backup-simplify]: Simplify 0 into 0 8.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.692 * [backup-simplify]: Simplify (- 0) into 0 8.693 * [backup-simplify]: Simplify (+ 0 0) into 0 8.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.695 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.696 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 8.696 * [backup-simplify]: Simplify -1 into -1 8.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.698 * [backup-simplify]: Simplify (- 0) into 0 8.698 * [backup-simplify]: Simplify (+ 0 0) into 0 8.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 8.701 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 8.704 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.704 * [backup-simplify]: Simplify -1/2 into -1/2 8.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.706 * [backup-simplify]: Simplify (- 0) into 0 8.706 * [backup-simplify]: Simplify (+ 0 0) into 0 8.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 8.709 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 8.715 * [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 8.715 * [backup-simplify]: Simplify -1/3 into -1/3 8.716 * [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)))) 8.716 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 8.716 * [backup-simplify]: Simplify (sqrt (/ (+ N 1) N)) into (sqrt (/ (+ N 1) N)) 8.716 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 8.716 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 8.716 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.716 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.716 * [taylor]: Taking taylor expansion of N in N 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 1 into 1 8.716 * [taylor]: Taking taylor expansion of 1 in N 8.716 * [backup-simplify]: Simplify 1 into 1 8.716 * [taylor]: Taking taylor expansion of N in N 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 1 into 1 8.717 * [backup-simplify]: Simplify (+ 0 1) into 1 8.717 * [backup-simplify]: Simplify (/ 1 1) into 1 8.718 * [backup-simplify]: Simplify (sqrt 0) into 0 8.719 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.719 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 8.719 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.719 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.719 * [taylor]: Taking taylor expansion of N in N 8.719 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify 1 into 1 8.719 * [taylor]: Taking taylor expansion of 1 in N 8.719 * [backup-simplify]: Simplify 1 into 1 8.719 * [taylor]: Taking taylor expansion of N in N 8.719 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 1 into 1 8.720 * [backup-simplify]: Simplify (+ 0 1) into 1 8.720 * [backup-simplify]: Simplify (/ 1 1) into 1 8.721 * [backup-simplify]: Simplify (sqrt 0) into 0 8.722 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.722 * [backup-simplify]: Simplify 0 into 0 8.722 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.723 * [backup-simplify]: Simplify (+ 1 0) into 1 8.724 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.727 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.727 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.727 * [backup-simplify]: Simplify (+ 0 0) into 0 8.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.732 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.732 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 8.732 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 8.732 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 8.732 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 8.732 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.732 * [taylor]: Taking taylor expansion of N in N 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify 1 into 1 8.732 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.732 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.732 * [taylor]: Taking taylor expansion of N in N 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify 1 into 1 8.733 * [backup-simplify]: Simplify (/ 1 1) into 1 8.733 * [taylor]: Taking taylor expansion of 1 in N 8.733 * [backup-simplify]: Simplify 1 into 1 8.733 * [backup-simplify]: Simplify (+ 1 0) into 1 8.733 * [backup-simplify]: Simplify (* 0 1) into 0 8.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.734 * [backup-simplify]: Simplify (+ 0 1) into 1 8.735 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.735 * [backup-simplify]: Simplify (sqrt 1) into 1 8.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.736 * [backup-simplify]: Simplify (+ 0 0) into 0 8.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.736 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.736 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 8.736 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.737 * [taylor]: Taking taylor expansion of N in N 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify 1 into 1 8.737 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.737 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.737 * [taylor]: Taking taylor expansion of N in N 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify 1 into 1 8.737 * [backup-simplify]: Simplify (/ 1 1) into 1 8.737 * [taylor]: Taking taylor expansion of 1 in N 8.737 * [backup-simplify]: Simplify 1 into 1 8.737 * [backup-simplify]: Simplify (+ 1 0) into 1 8.737 * [backup-simplify]: Simplify (* 0 1) into 0 8.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.738 * [backup-simplify]: Simplify (+ 0 1) into 1 8.738 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.739 * [backup-simplify]: Simplify (sqrt 1) into 1 8.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.739 * [backup-simplify]: Simplify (+ 0 0) into 0 8.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.740 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.740 * [backup-simplify]: Simplify 1 into 1 8.740 * [backup-simplify]: Simplify 1/2 into 1/2 8.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.741 * [backup-simplify]: Simplify (+ 0 0) into 0 8.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 8.742 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 8.742 * [backup-simplify]: Simplify -1/8 into -1/8 8.743 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 8.743 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 8.743 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 8.743 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 8.743 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.743 * [taylor]: Taking taylor expansion of -1 in N 8.743 * [backup-simplify]: Simplify -1 into -1 8.743 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.743 * [taylor]: Taking taylor expansion of N in N 8.743 * [backup-simplify]: Simplify 0 into 0 8.743 * [backup-simplify]: Simplify 1 into 1 8.743 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.743 * [taylor]: Taking taylor expansion of 1 in N 8.743 * [backup-simplify]: Simplify 1 into 1 8.743 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.743 * [taylor]: Taking taylor expansion of N in N 8.743 * [backup-simplify]: Simplify 0 into 0 8.743 * [backup-simplify]: Simplify 1 into 1 8.743 * [backup-simplify]: Simplify (/ 1 1) into 1 8.743 * [backup-simplify]: Simplify (- 1) into -1 8.744 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.744 * [backup-simplify]: Simplify (* 0 -1) into 0 8.744 * [backup-simplify]: Simplify (* -1 0) into 0 8.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.745 * [backup-simplify]: Simplify (- 0) into 0 8.745 * [backup-simplify]: Simplify (+ 1 0) into 1 8.746 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.746 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.746 * [backup-simplify]: Simplify (sqrt 1) into 1 8.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.747 * [backup-simplify]: Simplify (- 0) into 0 8.747 * [backup-simplify]: Simplify (+ 0 0) into 0 8.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.748 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.749 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 8.749 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 8.749 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.749 * [taylor]: Taking taylor expansion of -1 in N 8.749 * [backup-simplify]: Simplify -1 into -1 8.749 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.749 * [taylor]: Taking taylor expansion of N in N 8.749 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify 1 into 1 8.749 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.749 * [taylor]: Taking taylor expansion of 1 in N 8.749 * [backup-simplify]: Simplify 1 into 1 8.749 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.749 * [taylor]: Taking taylor expansion of N in N 8.749 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify 1 into 1 8.749 * [backup-simplify]: Simplify (/ 1 1) into 1 8.749 * [backup-simplify]: Simplify (- 1) into -1 8.750 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.750 * [backup-simplify]: Simplify (* 0 -1) into 0 8.750 * [backup-simplify]: Simplify (* -1 0) into 0 8.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.751 * [backup-simplify]: Simplify (- 0) into 0 8.751 * [backup-simplify]: Simplify (+ 1 0) into 1 8.752 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.752 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.752 * [backup-simplify]: Simplify (sqrt 1) into 1 8.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.753 * [backup-simplify]: Simplify (- 0) into 0 8.753 * [backup-simplify]: Simplify (+ 0 0) into 0 8.754 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.754 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.755 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 8.755 * [backup-simplify]: Simplify 1 into 1 8.755 * [backup-simplify]: Simplify -1/2 into -1/2 8.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.756 * [backup-simplify]: Simplify (- 0) into 0 8.756 * [backup-simplify]: Simplify (+ 0 0) into 0 8.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 8.757 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 8.758 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 8.758 * [backup-simplify]: Simplify -1/8 into -1/8 8.758 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 8.758 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 8.759 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 8.759 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 8.759 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.759 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.759 * [taylor]: Taking taylor expansion of N in N 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [taylor]: Taking taylor expansion of 1 in N 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [taylor]: Taking taylor expansion of N in N 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [backup-simplify]: Simplify (+ 0 1) into 1 8.759 * [backup-simplify]: Simplify (/ 1 1) into 1 8.759 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.759 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.759 * [taylor]: Taking taylor expansion of N in N 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [taylor]: Taking taylor expansion of 1 in N 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [taylor]: Taking taylor expansion of N in N 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.760 * [backup-simplify]: Simplify (+ 0 1) into 1 8.760 * [backup-simplify]: Simplify (/ 1 1) into 1 8.760 * [backup-simplify]: Simplify 1 into 1 8.760 * [backup-simplify]: Simplify (+ 1 0) into 1 8.761 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.761 * [backup-simplify]: Simplify 1 into 1 8.761 * [backup-simplify]: Simplify (+ 0 0) into 0 8.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.762 * [backup-simplify]: Simplify 0 into 0 8.762 * [backup-simplify]: Simplify (+ 0 0) into 0 8.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.764 * [backup-simplify]: Simplify 0 into 0 8.764 * [backup-simplify]: Simplify (+ 0 0) into 0 8.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.765 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify (+ 0 0) into 0 8.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.767 * [backup-simplify]: Simplify 0 into 0 8.767 * [backup-simplify]: Simplify (+ 0 0) into 0 8.768 * [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 8.768 * [backup-simplify]: Simplify 0 into 0 8.769 * [backup-simplify]: Simplify (+ 0 0) into 0 8.770 * [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 8.770 * [backup-simplify]: Simplify 0 into 0 8.770 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 8.770 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 8.770 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 8.770 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.770 * [taylor]: Taking taylor expansion of N in N 8.770 * [backup-simplify]: Simplify 0 into 0 8.770 * [backup-simplify]: Simplify 1 into 1 8.770 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.770 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.770 * [taylor]: Taking taylor expansion of N in N 8.770 * [backup-simplify]: Simplify 0 into 0 8.770 * [backup-simplify]: Simplify 1 into 1 8.771 * [backup-simplify]: Simplify (/ 1 1) into 1 8.771 * [taylor]: Taking taylor expansion of 1 in N 8.771 * [backup-simplify]: Simplify 1 into 1 8.771 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.771 * [taylor]: Taking taylor expansion of N in N 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 1 into 1 8.771 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.771 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.771 * [taylor]: Taking taylor expansion of N in N 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 1 into 1 8.771 * [backup-simplify]: Simplify (/ 1 1) into 1 8.771 * [taylor]: Taking taylor expansion of 1 in N 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [backup-simplify]: Simplify (+ 1 0) into 1 8.772 * [backup-simplify]: Simplify (* 0 1) into 0 8.772 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.774 * [backup-simplify]: Simplify (+ 0 1) into 1 8.775 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.775 * [backup-simplify]: Simplify 1 into 1 8.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.776 * [backup-simplify]: Simplify (+ 0 0) into 0 8.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.777 * [backup-simplify]: Simplify 1 into 1 8.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.778 * [backup-simplify]: Simplify (+ 0 0) into 0 8.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 8.780 * [backup-simplify]: Simplify 0 into 0 8.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.781 * [backup-simplify]: Simplify (+ 0 0) into 0 8.782 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 8.782 * [backup-simplify]: Simplify 0 into 0 8.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.783 * [backup-simplify]: Simplify (+ 0 0) into 0 8.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 8.785 * [backup-simplify]: Simplify 0 into 0 8.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.786 * [backup-simplify]: Simplify (+ 0 0) into 0 8.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 8.788 * [backup-simplify]: Simplify 0 into 0 8.789 * [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 8.789 * [backup-simplify]: Simplify (+ 0 0) into 0 8.791 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 8.791 * [backup-simplify]: Simplify 0 into 0 8.792 * [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 8.792 * [backup-simplify]: Simplify (+ 0 0) into 0 8.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 8.794 * [backup-simplify]: Simplify 0 into 0 8.794 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 8.794 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 8.794 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 8.794 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.794 * [taylor]: Taking taylor expansion of -1 in N 8.795 * [backup-simplify]: Simplify -1 into -1 8.795 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.795 * [taylor]: Taking taylor expansion of N in N 8.795 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify 1 into 1 8.795 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.795 * [taylor]: Taking taylor expansion of 1 in N 8.795 * [backup-simplify]: Simplify 1 into 1 8.795 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.795 * [taylor]: Taking taylor expansion of N in N 8.795 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify 1 into 1 8.795 * [backup-simplify]: Simplify (/ 1 1) into 1 8.795 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.795 * [taylor]: Taking taylor expansion of -1 in N 8.795 * [backup-simplify]: Simplify -1 into -1 8.795 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.795 * [taylor]: Taking taylor expansion of N in N 8.795 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify 1 into 1 8.795 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.795 * [taylor]: Taking taylor expansion of 1 in N 8.795 * [backup-simplify]: Simplify 1 into 1 8.795 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.795 * [taylor]: Taking taylor expansion of N in N 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 1 into 1 8.796 * [backup-simplify]: Simplify (/ 1 1) into 1 8.796 * [backup-simplify]: Simplify (- 1) into -1 8.797 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.797 * [backup-simplify]: Simplify (* 0 -1) into 0 8.798 * [backup-simplify]: Simplify (* -1 0) into 0 8.798 * [backup-simplify]: Simplify 0 into 0 8.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.799 * [backup-simplify]: Simplify (- 0) into 0 8.800 * [backup-simplify]: Simplify (+ 1 0) into 1 8.800 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.801 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.801 * [backup-simplify]: Simplify 1 into 1 8.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.808 * [backup-simplify]: Simplify (- 0) into 0 8.809 * [backup-simplify]: Simplify (+ 0 0) into 0 8.810 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.811 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.811 * [backup-simplify]: Simplify -1 into -1 8.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.813 * [backup-simplify]: Simplify (- 0) into 0 8.813 * [backup-simplify]: Simplify (+ 0 0) into 0 8.815 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 8.816 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 8.816 * [backup-simplify]: Simplify 0 into 0 8.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.817 * [backup-simplify]: Simplify (- 0) into 0 8.818 * [backup-simplify]: Simplify (+ 0 0) into 0 8.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 8.821 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 8.821 * [backup-simplify]: Simplify 0 into 0 8.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.822 * [backup-simplify]: Simplify (- 0) into 0 8.822 * [backup-simplify]: Simplify (+ 0 0) into 0 8.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 8.826 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 8.826 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.827 * [backup-simplify]: Simplify (- 0) into 0 8.828 * [backup-simplify]: Simplify (+ 0 0) into 0 8.829 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 8.831 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 8.831 * [backup-simplify]: Simplify 0 into 0 8.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.833 * [backup-simplify]: Simplify (- 0) into 0 8.833 * [backup-simplify]: Simplify (+ 0 0) into 0 8.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 8.838 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 8.838 * [backup-simplify]: Simplify 0 into 0 8.839 * [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 8.839 * [backup-simplify]: Simplify (- 0) into 0 8.840 * [backup-simplify]: Simplify (+ 0 0) into 0 8.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 8.844 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 8.844 * [backup-simplify]: Simplify 0 into 0 8.844 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 8.844 * * * [progress]: simplifying candidates 8.844 * * * * [progress]: [ 1 / 135 ] simplifiying candidate # 8.845 * * * * [progress]: [ 2 / 135 ] simplifiying candidate # 8.845 * * * * [progress]: [ 3 / 135 ] simplifiying candidate # 8.845 * * * * [progress]: [ 4 / 135 ] simplifiying candidate # 8.845 * * * * [progress]: [ 5 / 135 ] simplifiying candidate # 8.845 * * * * [progress]: [ 6 / 135 ] simplifiying candidate # 8.845 * * * * [progress]: [ 7 / 135 ] simplifiying candidate # 8.845 * * * * [progress]: [ 8 / 135 ] simplifiying candidate # 8.845 * * * * [progress]: [ 9 / 135 ] simplifiying candidate # 8.845 * * * * [progress]: [ 10 / 135 ] simplifiying candidate # 8.845 * * * * [progress]: [ 11 / 135 ] simplifiying candidate # 8.845 * * * * [progress]: [ 12 / 135 ] simplifiying candidate # 8.845 * * * * [progress]: [ 13 / 135 ] simplifiying candidate # 8.845 * * * * [progress]: [ 14 / 135 ] simplifiying candidate # 8.846 * * * * [progress]: [ 15 / 135 ] simplifiying candidate # 8.846 * * * * [progress]: [ 16 / 135 ] simplifiying candidate # 8.846 * * * * [progress]: [ 17 / 135 ] simplifiying candidate # 8.846 * * * * [progress]: [ 18 / 135 ] simplifiying candidate # 8.846 * * * * [progress]: [ 19 / 135 ] simplifiying candidate # 8.846 * * * * [progress]: [ 20 / 135 ] simplifiying candidate # 8.846 * * * * [progress]: [ 21 / 135 ] simplifiying candidate # 8.846 * * * * [progress]: [ 22 / 135 ] simplifiying candidate # 8.846 * * * * [progress]: [ 23 / 135 ] simplifiying candidate # 8.846 * * * * [progress]: [ 24 / 135 ] simplifiying candidate # 8.846 * * * * [progress]: [ 25 / 135 ] simplifiying candidate # 8.846 * * * * [progress]: [ 26 / 135 ] simplifiying candidate # 8.846 * * * * [progress]: [ 27 / 135 ] simplifiying candidate # 8.846 * * * * [progress]: [ 28 / 135 ] simplifiying candidate # 8.846 * * * * [progress]: [ 29 / 135 ] simplifiying candidate # 8.846 * * * * [progress]: [ 30 / 135 ] simplifiying candidate # 8.847 * * * * [progress]: [ 31 / 135 ] simplifiying candidate # 8.847 * * * * [progress]: [ 32 / 135 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ (+ N 1) N))))) (* 1/2 (log (/ (+ N 1) N)))))> 8.847 * * * * [progress]: [ 33 / 135 ] simplifiying candidate # 8.847 * * * * [progress]: [ 34 / 135 ] simplifiying candidate # 8.847 * * * * [progress]: [ 35 / 135 ] simplifiying candidate # 8.847 * * * * [progress]: [ 36 / 135 ] simplifiying candidate # 8.847 * * * * [progress]: [ 37 / 135 ] simplifiying candidate # 8.847 * * * * [progress]: [ 38 / 135 ] simplifiying candidate # 8.847 * * * * [progress]: [ 39 / 135 ] simplifiying candidate # 8.847 * * * * [progress]: [ 40 / 135 ] simplifiying candidate # 8.847 * * * * [progress]: [ 41 / 135 ] simplifiying candidate # 8.847 * * * * [progress]: [ 42 / 135 ] simplifiying candidate # 8.847 * * * * [progress]: [ 43 / 135 ] simplifiying candidate # 8.847 * * * * [progress]: [ 44 / 135 ] simplifiying candidate # 8.847 * * * * [progress]: [ 45 / 135 ] simplifiying candidate # 8.848 * * * * [progress]: [ 46 / 135 ] simplifiying candidate # 8.848 * * * * [progress]: [ 47 / 135 ] simplifiying candidate # 8.848 * * * * [progress]: [ 48 / 135 ] simplifiying candidate # 8.848 * * * * [progress]: [ 49 / 135 ] simplifiying candidate # 8.848 * * * * [progress]: [ 50 / 135 ] simplifiying candidate # 8.848 * * * * [progress]: [ 51 / 135 ] simplifiying candidate # 8.848 * * * * [progress]: [ 52 / 135 ] simplifiying candidate # 8.848 * * * * [progress]: [ 53 / 135 ] simplifiying candidate # 8.848 * * * * [progress]: [ 54 / 135 ] simplifiying candidate # 8.848 * * * * [progress]: [ 55 / 135 ] simplifiying candidate # 8.848 * * * * [progress]: [ 56 / 135 ] simplifiying candidate # 8.848 * * * * [progress]: [ 57 / 135 ] simplifiying candidate # 8.848 * * * * [progress]: [ 58 / 135 ] simplifiying candidate # 8.848 * * * * [progress]: [ 59 / 135 ] simplifiying candidate # 8.848 * * * * [progress]: [ 60 / 135 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))))> 8.848 * * * * [progress]: [ 61 / 135 ] simplifiying candidate # 8.849 * * * * [progress]: [ 62 / 135 ] simplifiying candidate # 8.849 * * * * [progress]: [ 63 / 135 ] simplifiying candidate # 8.849 * * * * [progress]: [ 64 / 135 ] simplifiying candidate # 8.849 * * * * [progress]: [ 65 / 135 ] simplifiying candidate # 8.849 * * * * [progress]: [ 66 / 135 ] simplifiying candidate # 8.849 * * * * [progress]: [ 67 / 135 ] simplifiying candidate # 8.849 * * * * [progress]: [ 68 / 135 ] simplifiying candidate # 8.849 * * * * [progress]: [ 69 / 135 ] simplifiying candidate # 8.849 * * * * [progress]: [ 70 / 135 ] simplifiying candidate # 8.849 * * * * [progress]: [ 71 / 135 ] simplifiying candidate # 8.849 * * * * [progress]: [ 72 / 135 ] simplifiying candidate # 8.849 * * * * [progress]: [ 73 / 135 ] simplifiying candidate # 8.849 * * * * [progress]: [ 74 / 135 ] simplifiying candidate # 8.849 * * * * [progress]: [ 75 / 135 ] simplifiying candidate # 8.849 * * * * [progress]: [ 76 / 135 ] simplifiying candidate # 8.850 * * * * [progress]: [ 77 / 135 ] simplifiying candidate # 8.850 * * * * [progress]: [ 78 / 135 ] simplifiying candidate # 8.850 * * * * [progress]: [ 79 / 135 ] simplifiying candidate # 8.850 * * * * [progress]: [ 80 / 135 ] simplifiying candidate # 8.850 * * * * [progress]: [ 81 / 135 ] simplifiying candidate # 8.850 * * * * [progress]: [ 82 / 135 ] simplifiying candidate # 8.850 * * * * [progress]: [ 83 / 135 ] simplifiying candidate # 8.850 * * * * [progress]: [ 84 / 135 ] simplifiying candidate # 8.850 * * * * [progress]: [ 85 / 135 ] simplifiying candidate # 8.850 * * * * [progress]: [ 86 / 135 ] simplifiying candidate # 8.850 * * * * [progress]: [ 87 / 135 ] simplifiying candidate # 8.850 * * * * [progress]: [ 88 / 135 ] simplifiying candidate # 8.850 * * * * [progress]: [ 89 / 135 ] simplifiying candidate #real (real->posit16 (sqrt (/ (+ N 1) N))))) (* 1/2 (log (/ (+ N 1) N)))))> 8.850 * * * * [progress]: [ 90 / 135 ] simplifiying candidate # 8.850 * * * * [progress]: [ 91 / 135 ] simplifiying candidate # 8.850 * * * * [progress]: [ 92 / 135 ] simplifiying candidate # 8.851 * * * * [progress]: [ 93 / 135 ] simplifiying candidate # 8.851 * * * * [progress]: [ 94 / 135 ] simplifiying candidate # 8.851 * * * * [progress]: [ 95 / 135 ] simplifiying candidate # 8.851 * * * * [progress]: [ 96 / 135 ] simplifiying candidate # 8.851 * * * * [progress]: [ 97 / 135 ] simplifiying candidate # 8.851 * * * * [progress]: [ 98 / 135 ] simplifiying candidate # 8.851 * * * * [progress]: [ 99 / 135 ] simplifiying candidate # 8.851 * * * * [progress]: [ 100 / 135 ] simplifiying candidate # 8.851 * * * * [progress]: [ 101 / 135 ] simplifiying candidate # 8.851 * * * * [progress]: [ 102 / 135 ] simplifiying candidate # 8.851 * * * * [progress]: [ 103 / 135 ] simplifiying candidate # 8.851 * * * * [progress]: [ 104 / 135 ] simplifiying candidate # 8.851 * * * * [progress]: [ 105 / 135 ] simplifiying candidate # 8.851 * * * * [progress]: [ 106 / 135 ] simplifiying candidate # 8.851 * * * * [progress]: [ 107 / 135 ] simplifiying candidate # 8.852 * * * * [progress]: [ 108 / 135 ] simplifiying candidate # 8.852 * * * * [progress]: [ 109 / 135 ] simplifiying candidate # 8.852 * * * * [progress]: [ 110 / 135 ] simplifiying candidate # 8.852 * * * * [progress]: [ 111 / 135 ] simplifiying candidate # 8.852 * * * * [progress]: [ 112 / 135 ] simplifiying candidate # 8.852 * * * * [progress]: [ 113 / 135 ] simplifiying candidate # 8.852 * * * * [progress]: [ 114 / 135 ] simplifiying candidate # 8.852 * * * * [progress]: [ 115 / 135 ] simplifiying candidate # 8.852 * * * * [progress]: [ 116 / 135 ] simplifiying candidate # 8.852 * * * * [progress]: [ 117 / 135 ] simplifiying candidate # 8.852 * * * * [progress]: [ 118 / 135 ] simplifiying candidate # 8.852 * * * * [progress]: [ 119 / 135 ] simplifiying candidate # 8.852 * * * * [progress]: [ 120 / 135 ] simplifiying candidate # 8.852 * * * * [progress]: [ 121 / 135 ] simplifiying candidate # 8.852 * * * * [progress]: [ 122 / 135 ] simplifiying candidate # 8.852 * * * * [progress]: [ 123 / 135 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))))> 8.853 * * * * [progress]: [ 124 / 135 ] simplifiying candidate # 8.853 * * * * [progress]: [ 125 / 135 ] simplifiying candidate # 8.853 * * * * [progress]: [ 126 / 135 ] simplifiying candidate # 8.853 * * * * [progress]: [ 127 / 135 ] simplifiying candidate # 8.853 * * * * [progress]: [ 128 / 135 ] simplifiying candidate # 8.853 * * * * [progress]: [ 129 / 135 ] simplifiying candidate # 8.853 * * * * [progress]: [ 130 / 135 ] simplifiying candidate # 8.853 * * * * [progress]: [ 131 / 135 ] simplifiying candidate # 8.853 * * * * [progress]: [ 132 / 135 ] simplifiying candidate # 8.853 * * * * [progress]: [ 133 / 135 ] simplifiying candidate # 8.853 * * * * [progress]: [ 134 / 135 ] simplifiying candidate # 8.853 * * * * [progress]: [ 135 / 135 ] simplifiying candidate # 8.856 * [simplify]: Simplifying: (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ N 1) N)))) (log (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) (log (sqrt (cbrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1))) (log (sqrt (/ (cbrt (+ N 1)) N))) (log (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) 1))) (log (sqrt (/ (sqrt (+ N 1)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1) N))) (log (sqrt (+ N 1))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log 1) (log (sqrt (/ (+ N 1) N))) (log (sqrt (+ N 1))) (log (sqrt N)) (log (/ (+ N 1) N)) (log (sqrt (/ (+ N 1) N))) (log (/ (+ N 1) N)) (log (log (sqrt (/ (+ N 1) N)))) (exp (log (sqrt (/ (+ N 1) N)))) (* (cbrt (log (sqrt (/ (+ N 1) N)))) (cbrt (log (sqrt (/ (+ N 1) N))))) (cbrt (log (sqrt (/ (+ N 1) N)))) (* (* (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N)))) (sqrt (log (sqrt (/ (+ N 1) N)))) (sqrt (log (sqrt (/ (+ N 1) N)))) (real->posit16 (log (sqrt (/ (+ N 1) N)))) (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log 1) (log (/ (+ N 1) N)) (log (+ N 1)) (log (/ 1 N)) (log (+ N 1)) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (exp (log (/ (+ N 1) N))) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (exp (sqrt (/ (+ N 1) N))) (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N)))) (cbrt (sqrt (/ (+ N 1) N))) (* (* (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N))) (sqrt (/ (+ N 1) N))) (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (sqrt (cbrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (sqrt (/ (cbrt (+ N 1)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (sqrt (/ (cbrt (+ N 1)) N)) (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1)) (cbrt N))) (sqrt (/ (sqrt (+ N 1)) (sqrt N))) (sqrt (/ (sqrt (+ N 1)) (sqrt N))) (sqrt (/ (sqrt (+ N 1)) 1)) (sqrt (/ (sqrt (+ N 1)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1) N)) (sqrt 1) (sqrt (/ (+ N 1) N)) (sqrt (+ N 1)) (sqrt (/ 1 N)) (sqrt (+ N 1)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (real->posit16 (sqrt (/ (+ N 1) N))) (- (log (+ N 1)) (log N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (/ (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (- (+ N 1)) (- N) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ N 1)) (sqrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1) (/ (cbrt (+ N 1)) N) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) 1) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (/ (+ N 1) 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (* N (+ (* N N) (- (* 1 1) (* N 1)))) (* N (- N 1)) (real->posit16 (/ (+ N 1) N)) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- 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)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 8.859 * * [simplify]: iteration 0: 186 enodes 8.920 * * [simplify]: iteration 1: 363 enodes 9.074 * * [simplify]: iteration 2: 900 enodes 9.493 * * [simplify]: iteration 3: 3273 enodes 10.614 * * [simplify]: iteration complete: 5001 enodes 10.614 * * [simplify]: Extracting #0: cost 123 inf + 0 10.616 * * [simplify]: Extracting #1: cost 990 inf + 3 10.621 * * [simplify]: Extracting #2: cost 1805 inf + 7121 10.641 * * [simplify]: Extracting #3: cost 1231 inf + 129792 10.699 * * [simplify]: Extracting #4: cost 381 inf + 294255 10.773 * * [simplify]: Extracting #5: cost 32 inf + 404468 10.879 * * [simplify]: Extracting #6: cost 0 inf + 417445 10.957 * [simplify]: Simplified to: (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ 1 N) N)))) (log (fabs (cbrt (/ (+ 1 N) N)))) (log (sqrt (cbrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (fabs (/ (cbrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ 1 N)) (cbrt N)))) (log (sqrt (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N))))) (log (sqrt (/ (cbrt (+ 1 N)) (sqrt N)))) (log (fabs (cbrt (+ 1 N)))) (log (sqrt (/ (cbrt (+ 1 N)) N))) (log (sqrt (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (/ (sqrt (+ 1 N)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1 N) (sqrt N)))) 0 (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1 N) (sqrt N)))) 0 (log (sqrt (/ (+ 1 N) N))) 0 (log (sqrt (/ (+ 1 N) N))) (log (sqrt (+ 1 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) 0 (log (sqrt (/ (+ 1 N) N))) (log (sqrt (+ 1 N))) (log (sqrt N)) (log (/ (+ 1 N) N)) (log (sqrt (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (log (sqrt (/ (+ 1 N) N)))) (sqrt (/ (+ 1 N) N)) (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N)))) (* (log (sqrt (/ (+ 1 N) N))) (* (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))))) (sqrt (log (sqrt (/ (+ 1 N) N)))) (sqrt (log (sqrt (/ (+ 1 N) N)))) (real->posit16 (log (sqrt (/ (+ 1 N) N)))) (+ (log (cbrt (/ (+ 1 N) N))) (log (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (+ (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 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))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (- (+ (log (cbrt N)) (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (- (+ (log (cbrt N)) (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log (+ 1 N)) (- (log N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 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 (sqrt (/ (+ 1 N) N))) (exp (sqrt (/ (+ 1 N) N))) (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N)))) (cbrt (sqrt (/ (+ 1 N) N))) (* (/ (+ 1 N) N) (sqrt (/ (+ 1 N) N))) (fabs (cbrt (/ (+ 1 N) N))) (sqrt (cbrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (fabs (/ (cbrt (+ 1 N)) (cbrt N))) (sqrt (/ (cbrt (+ 1 N)) (cbrt N))) (sqrt (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N)))) (sqrt (/ (cbrt (+ 1 N)) (sqrt N))) (fabs (cbrt (+ 1 N))) (sqrt (/ (cbrt (+ 1 N)) N)) (sqrt (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N))) (sqrt (/ (sqrt (+ 1 N)) (cbrt N))) (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) (sqrt (/ (sqrt (+ 1 N)) (sqrt N))) (sqrt (sqrt (+ 1 N))) (sqrt (/ (sqrt (+ 1 N)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ 1 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1 N) (sqrt N))) 1 (sqrt (/ (+ 1 N) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ 1 N) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ 1 N) (sqrt N))) 1 (sqrt (/ (+ 1 N) N)) 1 (sqrt (/ (+ 1 N) N)) (sqrt (+ 1 N)) (sqrt (/ 1 N)) (sqrt (+ 1 N)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ 1 N) N))) (sqrt (sqrt (/ (+ 1 N) N))) (real->posit16 (sqrt (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 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 N)) (/ (cbrt (+ 1 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))) (/ (cbrt (+ 1 N)) N) (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N)) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* (+ (* N N) (- 1 N)) N) (* N (+ -1 N)) (real->posit16 (/ (+ 1 N) N)) (- (log +nan.0) (* (- N (* N N)) +nan.0)) (- (+ (/ 1/2 N) (/ (/ 1/6 N) (* N N))) (/ (/ 1/4 N) N)) (- (+ (/ 1/2 N) (/ (/ 1/6 N) (* N N))) (/ (/ 1/4 N) N)) (- (- N (log N)) (/ (* N N) 2)) (+ (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N))) (/ 1 N)) (+ (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N))) (/ 1 N)) (- (- (* N (* N +nan.0)) (* N +nan.0)) +nan.0) (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) 10.980 * * * [progress]: adding candidates to table 11.646 * [progress]: [Phase 3 of 3] Extracting. 11.646 * * [regime]: Finding splitpoints for: (# # # # #) 11.647 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.647 * * * * [regimes]: Trying to branch on N from (# # # # #) 11.713 * * * [regime]: Found split indices: #