28.443 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.074 * * * [progress]: [2/2] Setting up program. 0.078 * [progress]: [Phase 2 of 3] Improving. 0.078 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.079 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.079 * * [simplify]: iteration 0: 6 enodes 0.081 * * [simplify]: iteration 1: 11 enodes 0.083 * * [simplify]: iteration 2: 12 enodes 0.086 * * [simplify]: iteration complete: 12 enodes 0.086 * * [simplify]: Extracting #0: cost 1 inf + 0 0.086 * * [simplify]: Extracting #1: cost 4 inf + 0 0.086 * * [simplify]: Extracting #2: cost 6 inf + 0 0.086 * * [simplify]: Extracting #3: cost 4 inf + 183 0.087 * * [simplify]: Extracting #4: cost 0 inf + 560 0.087 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.108 * * [progress]: iteration 1 / 4 0.108 * * * [progress]: picking best candidate 0.112 * * * * [pick]: Picked # 0.112 * * * [progress]: localizing error 0.131 * * * [progress]: generating rewritten candidates 0.132 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.135 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.144 * * * [progress]: generating series expansions 0.144 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.144 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.144 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.144 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.144 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of 1 in N 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ 0 1) into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.145 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.145 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.145 * [taylor]: Taking taylor expansion of N in N 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [taylor]: Taking taylor expansion of 1 in N 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ 0 1) into 1 0.146 * [backup-simplify]: Simplify (log 1) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.149 * [backup-simplify]: Simplify -1/2 into -1/2 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [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 0.152 * [backup-simplify]: Simplify 1/3 into 1/3 0.152 * [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))) 0.152 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.152 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.152 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [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 0.153 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [backup-simplify]: Simplify (log 1) into 0 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 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [taylor]: Taking taylor expansion of 1 in N 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (+ 1 0) into 1 0.154 * [backup-simplify]: Simplify (log 1) into 0 0.155 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.155 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ 0 1) into 1 0.156 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.156 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.159 * [backup-simplify]: Simplify -1/2 into -1/2 0.159 * [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)))) 0.159 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.159 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.159 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.159 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.159 * [taylor]: Taking taylor expansion of 1 in N 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [backup-simplify]: Simplify (- 1) into -1 0.161 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.161 * [backup-simplify]: Simplify (log -1) into (log -1) 0.161 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.161 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.161 * [taylor]: Taking taylor expansion of 1 in N 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.161 * [taylor]: Taking taylor expansion of N in N 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify (- 1) into -1 0.163 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.163 * [backup-simplify]: Simplify (log -1) into (log -1) 0.164 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.164 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 1 0) into 1 0.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.167 * [backup-simplify]: Simplify -1 into -1 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.172 * [backup-simplify]: Simplify -1/2 into -1/2 0.173 * [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)))) 0.173 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.173 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.173 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.173 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.173 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.173 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of 1 in N 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (+ 0 1) into 1 0.174 * [backup-simplify]: Simplify (log 1) into 0 0.174 * [taylor]: Taking taylor expansion of (log N) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (log 1) into 0 0.175 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.175 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.175 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [taylor]: Taking taylor expansion of 1 in N 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (+ 0 1) into 1 0.176 * [backup-simplify]: Simplify (log 1) into 0 0.176 * [taylor]: Taking taylor expansion of (log N) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (log 1) into 0 0.177 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.177 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.177 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.177 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.177 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.187 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.188 * [backup-simplify]: Simplify -1/2 into -1/2 0.188 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.189 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.189 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.189 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.189 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of 1 in N 0.189 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify (log 1) into 0 0.190 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.190 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [backup-simplify]: Simplify (log 1) into 0 0.191 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.191 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.191 * [taylor]: Taking taylor expansion of N in N 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [taylor]: Taking taylor expansion of 1 in N 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (+ 1 0) into 1 0.193 * [backup-simplify]: Simplify (log 1) into 0 0.193 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.193 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify (log 1) into 0 0.194 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.195 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.195 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.195 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 1) into 1 0.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 1 0) into 1 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.209 * [backup-simplify]: Simplify (- 0) into 0 0.209 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.209 * [backup-simplify]: Simplify -1/2 into -1/2 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [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 0.217 * [backup-simplify]: Simplify (- (+ (* 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 0.231 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.231 * [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 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.231 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.232 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.232 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.232 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.232 * [taylor]: Taking taylor expansion of 1 in N 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [backup-simplify]: Simplify (- 1) into -1 0.233 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.233 * [backup-simplify]: Simplify (log -1) into (log -1) 0.233 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.233 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.234 * [taylor]: Taking taylor expansion of -1 in N 0.234 * [backup-simplify]: Simplify -1 into -1 0.234 * [taylor]: Taking taylor expansion of N in N 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ -1 1) into -1 0.234 * [backup-simplify]: Simplify (log -1) into (log -1) 0.234 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.234 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.235 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.235 * [taylor]: Taking taylor expansion of 1 in N 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [backup-simplify]: Simplify (- 1) into -1 0.236 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.236 * [backup-simplify]: Simplify (log -1) into (log -1) 0.236 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.236 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.236 * [taylor]: Taking taylor expansion of -1 in N 0.236 * [backup-simplify]: Simplify -1 into -1 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ -1 1) into -1 0.237 * [backup-simplify]: Simplify (log -1) into (log -1) 0.238 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.239 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.239 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.240 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (- 0) into 0 0.242 * [backup-simplify]: Simplify (+ 1 0) into 1 0.243 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ -1 0) into -1 0.246 * [backup-simplify]: Simplify -1 into -1 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.254 * [backup-simplify]: Simplify -1/2 into -1/2 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [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 0.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.266 * [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 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.267 * [backup-simplify]: Simplify -1/3 into -1/3 0.267 * [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)))) 0.268 * * * [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 # 0.268 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.268 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.268 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.268 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.268 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.268 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.268 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.268 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.268 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.268 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.268 * * * * [progress]: [ 16 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.268 * * * * [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 # 0.269 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 27 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.269 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.270 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.270 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.271 * [simplify]: Simplifying: (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log 1) (log (+ N 1)) (log 1) (log (+ N 1)) (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1)))) (log (- (* N N) (* 1 1))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (exp (log (+ N 1))) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (/ (+ N 1) N) (log (- (log (+ N 1)) (log N))) (exp (- (log (+ N 1)) (log N))) (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) (cbrt (- (log (+ N 1)) (log N))) (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (- (pow (log (+ N 1)) 3) (pow (log N) 3)) (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))) (- (log N)) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N)) (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N))) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1)) (log (sqrt N))) (- (log (+ N 1)) (log 1)) (- (log (cbrt (+ N 1))) (log N)) (- (log (sqrt (+ N 1))) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)) (+ (log (- N 1)) (log N)) (- (log N)) (real->posit16 (- (log (+ N 1)) (log N))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.272 * * [simplify]: iteration 0: 97 enodes 0.309 * * [simplify]: iteration 1: 200 enodes 0.388 * * [simplify]: iteration 2: 452 enodes 0.543 * * [simplify]: iteration 3: 1329 enodes 0.770 * * [simplify]: iteration 4: 2005 enodes 1.084 * * [simplify]: iteration complete: 2005 enodes 1.084 * * [simplify]: Extracting #0: cost 42 inf + 0 1.084 * * [simplify]: Extracting #1: cost 193 inf + 1 1.086 * * [simplify]: Extracting #2: cost 444 inf + 2095 1.091 * * [simplify]: Extracting #3: cost 336 inf + 37987 1.114 * * [simplify]: Extracting #4: cost 115 inf + 91733 1.142 * * [simplify]: Extracting #5: cost 49 inf + 114103 1.165 * * [simplify]: Extracting #6: cost 10 inf + 120200 1.185 * * [simplify]: Extracting #7: cost 0 inf + 123080 1.206 * [simplify]: Simplified to: (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (+ 1 N)) 0 (log (+ 1 N)) (log (+ (* (* N N) N) 1)) (log (+ (- 1 N) (* N N))) (log (- (* N N) 1)) (log (- N 1)) (log (+ 1 N)) (log (log (+ 1 N))) (+ 1 N) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (log (+ 1 N))) (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N))) (real->posit16 (log (+ 1 N))) (/ (+ 1 N) N) (log (- (log (+ 1 N)) (log N))) (/ (+ 1 N) N) (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) (cbrt (- (log (+ 1 N)) (log N))) (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (- (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (* (log N) (* (log N) (log N)))) (+ (* (log N) (+ (log (+ 1 N)) (log N))) (* (log (+ 1 N)) (log (+ 1 N)))) (- (log N)) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (+ (log N) (log (+ 1 N))) (+ (sqrt (log (+ 1 N))) (sqrt (log N))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (- (log (+ 1 N)) (log (cbrt N))) (log (cbrt N))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (+ (- 1 N) (* N N))) (log N)) (+ (log N) (log (- N 1))) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (+ (* (* N N) (- (* N 1/3) 1/2)) N) (- (+ (/ 1 N) (log N)) (* (/ 1/2 N) (/ 1 N))) (- (+ (/ 1 N) (+ 0 (log N))) (* (/ 1/2 N) (/ 1 N))) (- (- N (log N)) (* (* 1/2 N) N)) (+ (/ 1/3 (* (* N N) N)) (+ (/ 1 N) (/ -1/2 (* N N)))) (+ (/ 1/3 (* (* N N) N)) (+ (/ 1 N) (/ -1/2 (* N N)))) 1.210 * * * [progress]: adding candidates to table 1.592 * * [progress]: iteration 2 / 4 1.592 * * * [progress]: picking best candidate 1.598 * * * * [pick]: Picked # 1.598 * * * [progress]: localizing error 1.626 * * * [progress]: generating rewritten candidates 1.626 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.629 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.633 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.636 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.658 * * * [progress]: generating series expansions 1.658 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.659 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 1.659 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1.659 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.659 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.659 * [taylor]: Taking taylor expansion of N in N 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.659 * [taylor]: Taking taylor expansion of 1 in N 1.659 * [backup-simplify]: Simplify 1 into 1 1.660 * [backup-simplify]: Simplify (+ 0 1) into 1 1.660 * [backup-simplify]: Simplify (log 1) into 0 1.660 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.660 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.660 * [taylor]: Taking taylor expansion of N in N 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [taylor]: Taking taylor expansion of 1 in N 1.660 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (+ 0 1) into 1 1.661 * [backup-simplify]: Simplify (log 1) into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify (+ 1 0) into 1 1.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.664 * [backup-simplify]: Simplify 1 into 1 1.664 * [backup-simplify]: Simplify (+ 0 0) into 0 1.667 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.667 * [backup-simplify]: Simplify -1/2 into -1/2 1.668 * [backup-simplify]: Simplify (+ 0 0) into 0 1.673 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1.673 * [backup-simplify]: Simplify 1/3 into 1/3 1.674 * [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))) 1.674 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 1.674 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1.674 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.674 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.674 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.674 * [taylor]: Taking taylor expansion of N in N 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (/ 1 1) into 1 1.675 * [taylor]: Taking taylor expansion of 1 in N 1.675 * [backup-simplify]: Simplify 1 into 1 1.676 * [backup-simplify]: Simplify (+ 1 0) into 1 1.676 * [backup-simplify]: Simplify (log 1) into 0 1.676 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.676 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.676 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.676 * [taylor]: Taking taylor expansion of N in N 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (/ 1 1) into 1 1.677 * [taylor]: Taking taylor expansion of 1 in N 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (+ 1 0) into 1 1.677 * [backup-simplify]: Simplify (log 1) into 0 1.678 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.678 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.680 * [backup-simplify]: Simplify (+ 0 1) into 1 1.681 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.681 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.683 * [backup-simplify]: Simplify (+ 0 0) into 0 1.686 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.686 * [backup-simplify]: Simplify -1/2 into -1/2 1.686 * [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)))) 1.686 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 1.686 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1.686 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.686 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.686 * [taylor]: Taking taylor expansion of 1 in N 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.686 * [taylor]: Taking taylor expansion of N in N 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.687 * [backup-simplify]: Simplify (/ 1 1) into 1 1.687 * [backup-simplify]: Simplify (- 1) into -1 1.688 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.688 * [backup-simplify]: Simplify (log -1) into (log -1) 1.688 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.688 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.688 * [taylor]: Taking taylor expansion of 1 in N 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.688 * [taylor]: Taking taylor expansion of N in N 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.689 * [backup-simplify]: Simplify (/ 1 1) into 1 1.689 * [backup-simplify]: Simplify (- 1) into -1 1.690 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.690 * [backup-simplify]: Simplify (log -1) into (log -1) 1.691 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.691 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.692 * [backup-simplify]: Simplify (- 0) into 0 1.693 * [backup-simplify]: Simplify (+ 1 0) into 1 1.694 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.694 * [backup-simplify]: Simplify -1 into -1 1.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.695 * [backup-simplify]: Simplify (- 0) into 0 1.696 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.698 * [backup-simplify]: Simplify -1/2 into -1/2 1.699 * [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)))) 1.699 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.699 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 1.699 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1.699 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.699 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.699 * [taylor]: Taking taylor expansion of N in N 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 1 into 1 1.700 * [taylor]: Taking taylor expansion of 1 in N 1.700 * [backup-simplify]: Simplify 1 into 1 1.700 * [backup-simplify]: Simplify (+ 0 1) into 1 1.700 * [backup-simplify]: Simplify (log 1) into 0 1.700 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.700 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.700 * [taylor]: Taking taylor expansion of N in N 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 1 into 1 1.700 * [taylor]: Taking taylor expansion of 1 in N 1.700 * [backup-simplify]: Simplify 1 into 1 1.701 * [backup-simplify]: Simplify (+ 0 1) into 1 1.701 * [backup-simplify]: Simplify (log 1) into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify (+ 1 0) into 1 1.703 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.703 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (+ 0 0) into 0 1.706 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.706 * [backup-simplify]: Simplify -1/2 into -1/2 1.707 * [backup-simplify]: Simplify (+ 0 0) into 0 1.712 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1.712 * [backup-simplify]: Simplify 1/3 into 1/3 1.713 * [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))) 1.713 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 1.713 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1.713 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.713 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.713 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.713 * [taylor]: Taking taylor expansion of N in N 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 1 into 1 1.713 * [backup-simplify]: Simplify (/ 1 1) into 1 1.713 * [taylor]: Taking taylor expansion of 1 in N 1.713 * [backup-simplify]: Simplify 1 into 1 1.714 * [backup-simplify]: Simplify (+ 1 0) into 1 1.714 * [backup-simplify]: Simplify (log 1) into 0 1.714 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.714 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.714 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.714 * [taylor]: Taking taylor expansion of N in N 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 1 into 1 1.715 * [backup-simplify]: Simplify (/ 1 1) into 1 1.715 * [taylor]: Taking taylor expansion of 1 in N 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [backup-simplify]: Simplify (+ 1 0) into 1 1.716 * [backup-simplify]: Simplify (log 1) into 0 1.716 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.716 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (+ 0 1) into 1 1.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.719 * [backup-simplify]: Simplify 1 into 1 1.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.720 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.723 * [backup-simplify]: Simplify -1/2 into -1/2 1.723 * [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)))) 1.724 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 1.724 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1.724 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.724 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.724 * [taylor]: Taking taylor expansion of 1 in N 1.724 * [backup-simplify]: Simplify 1 into 1 1.724 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.724 * [taylor]: Taking taylor expansion of N in N 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.724 * [backup-simplify]: Simplify (/ 1 1) into 1 1.725 * [backup-simplify]: Simplify (- 1) into -1 1.725 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.726 * [backup-simplify]: Simplify (log -1) into (log -1) 1.726 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.726 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.726 * [taylor]: Taking taylor expansion of 1 in N 1.726 * [backup-simplify]: Simplify 1 into 1 1.726 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.726 * [taylor]: Taking taylor expansion of N in N 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 1 into 1 1.727 * [backup-simplify]: Simplify (/ 1 1) into 1 1.727 * [backup-simplify]: Simplify (- 1) into -1 1.728 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.728 * [backup-simplify]: Simplify (log -1) into (log -1) 1.729 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.729 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.730 * [backup-simplify]: Simplify (- 0) into 0 1.731 * [backup-simplify]: Simplify (+ 1 0) into 1 1.732 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.732 * [backup-simplify]: Simplify -1 into -1 1.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.734 * [backup-simplify]: Simplify (- 0) into 0 1.734 * [backup-simplify]: Simplify (+ 0 0) into 0 1.737 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.737 * [backup-simplify]: Simplify -1/2 into -1/2 1.738 * [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)))) 1.738 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.738 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 1.738 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1.738 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.738 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.738 * [taylor]: Taking taylor expansion of N in N 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [taylor]: Taking taylor expansion of 1 in N 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [backup-simplify]: Simplify (+ 0 1) into 1 1.739 * [backup-simplify]: Simplify (log 1) into 0 1.739 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.739 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.739 * [taylor]: Taking taylor expansion of N in N 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [taylor]: Taking taylor expansion of 1 in N 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [backup-simplify]: Simplify (+ 0 1) into 1 1.739 * [backup-simplify]: Simplify (log 1) into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (+ 1 0) into 1 1.740 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.740 * [backup-simplify]: Simplify 1 into 1 1.741 * [backup-simplify]: Simplify (+ 0 0) into 0 1.746 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.746 * [backup-simplify]: Simplify -1/2 into -1/2 1.746 * [backup-simplify]: Simplify (+ 0 0) into 0 1.750 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1.750 * [backup-simplify]: Simplify 1/3 into 1/3 1.750 * [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))) 1.750 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 1.750 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1.750 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.750 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.750 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.750 * [taylor]: Taking taylor expansion of N in N 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (/ 1 1) into 1 1.750 * [taylor]: Taking taylor expansion of 1 in N 1.750 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (+ 1 0) into 1 1.751 * [backup-simplify]: Simplify (log 1) into 0 1.751 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.751 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.751 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.751 * [taylor]: Taking taylor expansion of N in N 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (/ 1 1) into 1 1.751 * [taylor]: Taking taylor expansion of 1 in N 1.751 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (+ 1 0) into 1 1.752 * [backup-simplify]: Simplify (log 1) into 0 1.752 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.752 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify (+ 0 1) into 1 1.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.756 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.756 * [backup-simplify]: Simplify -1/2 into -1/2 1.756 * [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)))) 1.756 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 1.756 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1.756 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.756 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.756 * [taylor]: Taking taylor expansion of 1 in N 1.756 * [backup-simplify]: Simplify 1 into 1 1.756 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.756 * [taylor]: Taking taylor expansion of N in N 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.757 * [backup-simplify]: Simplify (/ 1 1) into 1 1.757 * [backup-simplify]: Simplify (- 1) into -1 1.757 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.757 * [backup-simplify]: Simplify (log -1) into (log -1) 1.757 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.758 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.758 * [taylor]: Taking taylor expansion of 1 in N 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.758 * [taylor]: Taking taylor expansion of N in N 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify (/ 1 1) into 1 1.758 * [backup-simplify]: Simplify (- 1) into -1 1.758 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.759 * [backup-simplify]: Simplify (log -1) into (log -1) 1.759 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.759 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.760 * [backup-simplify]: Simplify (- 0) into 0 1.760 * [backup-simplify]: Simplify (+ 1 0) into 1 1.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.761 * [backup-simplify]: Simplify -1 into -1 1.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.762 * [backup-simplify]: Simplify (- 0) into 0 1.762 * [backup-simplify]: Simplify (+ 0 0) into 0 1.764 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.764 * [backup-simplify]: Simplify -1/2 into -1/2 1.764 * [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)))) 1.764 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.764 * [backup-simplify]: Simplify (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) into (- (pow (log (+ N 1)) 2) (pow (log N) 2)) 1.764 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1)) 2) (pow (log N) 2)) in (N) around 0 1.764 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1)) 2) (pow (log N) 2)) in N 1.764 * [taylor]: Taking taylor expansion of (pow (log (+ N 1)) 2) in N 1.765 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.765 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.765 * [taylor]: Taking taylor expansion of N in N 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [taylor]: Taking taylor expansion of 1 in N 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [backup-simplify]: Simplify (+ 0 1) into 1 1.765 * [backup-simplify]: Simplify (log 1) into 0 1.765 * [backup-simplify]: Simplify (+ 1 0) into 1 1.766 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.766 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 1.766 * [taylor]: Taking taylor expansion of (log N) in N 1.766 * [taylor]: Taking taylor expansion of N in N 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 1 into 1 1.766 * [backup-simplify]: Simplify (log 1) into 0 1.767 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.767 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1)) 2) (pow (log N) 2)) in N 1.767 * [taylor]: Taking taylor expansion of (pow (log (+ N 1)) 2) in N 1.767 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.767 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.767 * [taylor]: Taking taylor expansion of N in N 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [taylor]: Taking taylor expansion of 1 in N 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (+ 0 1) into 1 1.767 * [backup-simplify]: Simplify (log 1) into 0 1.768 * [backup-simplify]: Simplify (+ 1 0) into 1 1.768 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.768 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 1.768 * [taylor]: Taking taylor expansion of (log N) in N 1.768 * [taylor]: Taking taylor expansion of N in N 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 1 into 1 1.769 * [backup-simplify]: Simplify (log 1) into 0 1.769 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.769 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.769 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.769 * [backup-simplify]: Simplify (* (log N) (log N)) into (pow (log N) 2) 1.770 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 1.770 * [backup-simplify]: Simplify (+ 0 (- (pow (log N) 2))) into (- (pow (log N) 2)) 1.770 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 1.770 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.771 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.771 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.771 * [backup-simplify]: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 1.771 * [backup-simplify]: Simplify (- 0) into 0 1.772 * [backup-simplify]: Simplify (+ 0 0) into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify (* 1 1) into 1 1.772 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.774 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.774 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.774 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 1.774 * [backup-simplify]: Simplify (- 0) into 0 1.775 * [backup-simplify]: Simplify (+ 1 0) into 1 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [backup-simplify]: Simplify (+ 0 0) into 0 1.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.777 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 1.777 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.780 * [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 1.780 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.781 * [backup-simplify]: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 1.781 * [backup-simplify]: Simplify (- 0) into 0 1.781 * [backup-simplify]: Simplify (+ -1 0) into -1 1.782 * [backup-simplify]: Simplify -1 into -1 1.782 * [backup-simplify]: Simplify (+ (* -1 (pow N 3)) (+ (* 1 (pow N 2)) (- (pow (log N) 2)))) into (- (pow N 2) (+ (pow (log N) 2) (pow N 3))) 1.782 * [backup-simplify]: Simplify (- (* (log (+ (/ 1 N) 1)) (log (+ (/ 1 N) 1))) (* (log (/ 1 N)) (log (/ 1 N)))) into (- (pow (log (+ (/ 1 N) 1)) 2) (pow (log (/ 1 N)) 2)) 1.782 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1)) 2) (pow (log (/ 1 N)) 2)) in (N) around 0 1.782 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1)) 2) (pow (log (/ 1 N)) 2)) in N 1.782 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1)) 2) in N 1.782 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.782 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.782 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.782 * [taylor]: Taking taylor expansion of N in N 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 1 into 1 1.782 * [backup-simplify]: Simplify (/ 1 1) into 1 1.782 * [taylor]: Taking taylor expansion of 1 in N 1.782 * [backup-simplify]: Simplify 1 into 1 1.783 * [backup-simplify]: Simplify (+ 1 0) into 1 1.783 * [backup-simplify]: Simplify (log 1) into 0 1.783 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.783 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 1.783 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.783 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.783 * [taylor]: Taking taylor expansion of N in N 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [backup-simplify]: Simplify (log 1) into 0 1.784 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.784 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1)) 2) (pow (log (/ 1 N)) 2)) in N 1.784 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1)) 2) in N 1.784 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.784 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.784 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.784 * [taylor]: Taking taylor expansion of N in N 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [taylor]: Taking taylor expansion of 1 in N 1.784 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify (+ 1 0) into 1 1.785 * [backup-simplify]: Simplify (log 1) into 0 1.785 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.785 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 1.785 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.785 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.785 * [taylor]: Taking taylor expansion of N in N 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.786 * [backup-simplify]: Simplify (/ 1 1) into 1 1.786 * [backup-simplify]: Simplify (log 1) into 0 1.786 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.786 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.787 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.787 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 1.787 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.787 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.787 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 1.788 * [backup-simplify]: Simplify (- (pow (log N) 2)) into (- (pow (log N) 2)) 1.788 * [backup-simplify]: Simplify (+ (pow (log N) 2) (- (pow (log N) 2))) into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.789 * [backup-simplify]: Simplify (+ 0 1) into 1 1.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.790 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.790 * [backup-simplify]: Simplify (+ (* (- (log N)) 1) (* 1 (- (log N)))) into (- (* 2 (log N))) 1.790 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.791 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.792 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.792 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 1.792 * [backup-simplify]: Simplify (- 0) into 0 1.792 * [backup-simplify]: Simplify (+ (- (* 2 (log N))) 0) into (- (* 2 (log N))) 1.792 * [backup-simplify]: Simplify (- (* 2 (log N))) into (- (* 2 (log N))) 1.792 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.795 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.795 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.795 * [backup-simplify]: Simplify (+ (* (- (log N)) -1/2) (+ (* 1 1) (* -1/2 (- (log N))))) into (+ (log N) 1) 1.795 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.798 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.798 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 1.798 * [backup-simplify]: Simplify (- 0) into 0 1.798 * [backup-simplify]: Simplify (+ (+ (log N) 1) 0) into (+ (log N) 1) 1.798 * [backup-simplify]: Simplify (+ (log N) 1) into (+ (log N) 1) 1.799 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (+ 0 0) into 0 1.803 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1.803 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.804 * [backup-simplify]: Simplify (+ (* (- (log N)) 1/3) (+ (* 1 -1/2) (+ (* -1/2 1) (* 1/3 (- (log N)))))) into (- (+ (* 2/3 (log N)) 1)) 1.804 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.807 * [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 1.807 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.808 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 1.808 * [backup-simplify]: Simplify (- 0) into 0 1.808 * [backup-simplify]: Simplify (+ (- (+ (* 2/3 (log N)) 1)) 0) into (- (+ (* 2/3 (log N)) 1)) 1.808 * [backup-simplify]: Simplify (- (+ (* 2/3 (log N)) 1)) into (- (+ (* 2/3 (log N)) 1)) 1.809 * [backup-simplify]: Simplify (+ (* (- (+ (* 2/3 (log (/ 1 N))) 1)) (pow (/ 1 N) 3)) (+ (* (+ (log (/ 1 N)) 1) (pow (/ 1 N) 2)) (* (- (* 2 (log (/ 1 N)))) (/ 1 N)))) into (- (+ (/ 1 (pow N 2)) (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 (pow N 3)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 3))) (* 2 (/ (log (/ 1 N)) N))))) 1.809 * [backup-simplify]: Simplify (- (* (log (+ (/ 1 (- N)) 1)) (log (+ (/ 1 (- N)) 1))) (* (log (/ 1 (- N))) (log (/ 1 (- N))))) into (- (pow (log (- 1 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) 1.809 * [approximate]: Taking taylor expansion of (- (pow (log (- 1 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in (N) around 0 1.809 * [taylor]: Taking taylor expansion of (- (pow (log (- 1 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in N 1.809 * [taylor]: Taking taylor expansion of (pow (log (- 1 (/ 1 N))) 2) in N 1.809 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.809 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.809 * [taylor]: Taking taylor expansion of 1 in N 1.809 * [backup-simplify]: Simplify 1 into 1 1.809 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.809 * [taylor]: Taking taylor expansion of N in N 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.810 * [backup-simplify]: Simplify (/ 1 1) into 1 1.810 * [backup-simplify]: Simplify (- 1) into -1 1.810 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.810 * [backup-simplify]: Simplify (log -1) into (log -1) 1.811 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.811 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 1.811 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.811 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.811 * [taylor]: Taking taylor expansion of -1 in N 1.811 * [backup-simplify]: Simplify -1 into -1 1.811 * [taylor]: Taking taylor expansion of N in N 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.811 * [backup-simplify]: Simplify (/ -1 1) into -1 1.811 * [backup-simplify]: Simplify (log -1) into (log -1) 1.812 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.812 * [taylor]: Taking taylor expansion of (- (pow (log (- 1 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in N 1.812 * [taylor]: Taking taylor expansion of (pow (log (- 1 (/ 1 N))) 2) in N 1.812 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.812 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.812 * [taylor]: Taking taylor expansion of 1 in N 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.812 * [taylor]: Taking taylor expansion of N in N 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * [backup-simplify]: Simplify (/ 1 1) into 1 1.813 * [backup-simplify]: Simplify (- 1) into -1 1.813 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.813 * [backup-simplify]: Simplify (log -1) into (log -1) 1.814 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.814 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 1.814 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.814 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.814 * [taylor]: Taking taylor expansion of -1 in N 1.814 * [backup-simplify]: Simplify -1 into -1 1.814 * [taylor]: Taking taylor expansion of N in N 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [backup-simplify]: Simplify (/ -1 1) into -1 1.814 * [backup-simplify]: Simplify (log -1) into (log -1) 1.815 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.815 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.816 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.816 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 1.817 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.817 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.818 * [backup-simplify]: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) 1.818 * [backup-simplify]: Simplify (- (pow (- (log -1) (log N)) 2)) into (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2))) 1.819 * [backup-simplify]: Simplify (+ (pow (- (log -1) (log N)) 2) (- (* 2 (* (log N) (log -1))) (+ (pow (log N) 2) (pow (log -1) 2)))) into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.821 * [backup-simplify]: Simplify (- 0) into 0 1.821 * [backup-simplify]: Simplify (+ 1 0) into 1 1.822 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.822 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.823 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) 1.823 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.825 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1.825 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.826 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 1.826 * [backup-simplify]: Simplify (- 0) into 0 1.827 * [backup-simplify]: Simplify (+ (- (* 2 (log N)) (* 2 (log -1))) 0) into (- (* 2 (log N)) (* 2 (log -1))) 1.828 * [backup-simplify]: Simplify (- (* 2 (log N)) (* 2 (log -1))) into (- (* 2 (log N)) (* 2 (log -1))) 1.828 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.829 * [backup-simplify]: Simplify (- 0) into 0 1.829 * [backup-simplify]: Simplify (+ 0 0) into 0 1.835 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.837 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.838 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/2) (+ (* -1 -1) (* -1/2 (- (log -1) (log N))))) into (- (+ (log N) 1) (log -1)) 1.839 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1.844 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.846 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 1.846 * [backup-simplify]: Simplify (- 0) into 0 1.847 * [backup-simplify]: Simplify (+ (- (+ (log N) 1) (log -1)) 0) into (- (+ (log N) 1) (log -1)) 1.847 * [backup-simplify]: Simplify (- (+ (log N) 1) (log -1)) into (- (+ (log N) 1) (log -1)) 1.848 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.849 * [backup-simplify]: Simplify (- 0) into 0 1.850 * [backup-simplify]: Simplify (+ 0 0) into 0 1.855 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 1.856 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.858 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) -1/3) (+ (* -1 -1/2) (+ (* -1/2 -1) (* -1/3 (- (log -1) (log N)))))) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 1.859 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.864 * [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 1.865 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.866 * [backup-simplify]: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 1.866 * [backup-simplify]: Simplify (- 0) into 0 1.867 * [backup-simplify]: Simplify (+ (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 0) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 1.868 * [backup-simplify]: Simplify (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) into (- (+ (* 2/3 (log N)) 1) (* 2/3 (log -1))) 1.872 * [backup-simplify]: Simplify (+ (* (- (+ (* 2/3 (log (/ 1 (- N)))) 1) (* 2/3 (log -1))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (log (/ 1 (- N))) 1) (log -1)) (pow (/ 1 (- N)) 2)) (* (- (* 2 (log (/ 1 (- N)))) (* 2 (log -1))) (/ 1 (- N))))) into (- (+ (* 2 (/ (log -1) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ -1 N)) (pow N 2)) (* 2/3 (/ (log -1) (pow N 3)))))) (+ (/ 1 (pow N 3)) (+ (* 2/3 (/ (log (/ -1 N)) (pow N 3))) (+ (* 2 (/ (log (/ -1 N)) N)) (/ (log -1) (pow N 2)))))) 1.872 * * * [progress]: simplifying candidates 1.872 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 11 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 12 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 16 / 88 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N))))> 1.873 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 1.873 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 22 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 24 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 27 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 31 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 32 / 88 ] simplifiying candidate #real (real->posit16 (log (+ N 1))))) (* (log N) (log N))) (+ (log (+ N 1)) (log N))))> 1.874 * * * * [progress]: [ 33 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 36 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 42 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 1.874 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 1.875 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 1.875 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 1.875 * * * * [progress]: [ 47 / 88 ] simplifiying candidate # 1.875 * * * * [progress]: [ 48 / 88 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N))))> 1.875 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 1.875 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 1.875 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 1.875 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 1.875 * * * * [progress]: [ 53 / 88 ] simplifiying candidate # 1.875 * * * * [progress]: [ 54 / 88 ] simplifiying candidate # 1.875 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 1.875 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 1.875 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 1.875 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 1.875 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 1.875 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 75 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 76 / 88 ] simplifiying candidate #real (real->posit16 (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))))) (+ (log (+ N 1)) (log N))))> 1.876 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 1.876 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 1.877 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 1.877 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 1.877 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 1.877 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 1.877 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 1.877 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 1.877 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 1.878 * [simplify]: Simplifying: (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log 1) (log (+ N 1)) (log 1) (log (+ N 1)) (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1)))) (log (- (* N N) (* 1 1))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (exp (log (+ N 1))) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (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))) (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))) (/ (exp (* (log (+ N 1)) (log (+ N 1)))) (exp (* (log N) (log N)))) (log (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (exp (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (* (cbrt (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (cbrt (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))))) (cbrt (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (* (* (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (sqrt (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (sqrt (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (- (pow (* (log (+ N 1)) (log (+ N 1))) 3) (pow (* (log N) (log N)) 3)) (+ (* (* (log (+ N 1)) (log (+ N 1))) (* (log (+ N 1)) (log (+ N 1)))) (+ (* (* (log N) (log N)) (* (log N) (log N))) (* (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))))) (- (* (log N) (log N))) (- (* (* (log (+ N 1)) (log (+ N 1))) (* (log (+ N 1)) (log (+ N 1)))) (* (* (log N) (log N)) (* (log N) (log N)))) (+ (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log (* (cbrt N) (cbrt N))))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log (sqrt N)))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log 1))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log (* (cbrt N) (cbrt N))) (log N))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log (sqrt N)) (log N))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log 1) (log N))) (- (* (log (+ N 1)) (log (cbrt (+ N 1)))) (* (log N) (log N))) (- (* (log (+ N 1)) (log (sqrt (+ N 1)))) (* (log N) (log N))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (- (* (log (cbrt (+ N 1))) (log (+ N 1))) (* (log N) (log N))) (- (* (log (sqrt (+ N 1))) (log (+ N 1))) (* (log N) (log N))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (- (* (log N) (log N))) (real->posit16 (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ N (* 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)))) (- (pow N 2) (+ (pow (log N) 2) (pow N 3))) (- (+ (/ 1 (pow N 2)) (/ (log (/ 1 N)) (pow N 2))) (+ (/ 1 (pow N 3)) (+ (* 2/3 (/ (log (/ 1 N)) (pow N 3))) (* 2 (/ (log (/ 1 N)) N))))) (- (+ (* 2 (/ (log -1) N)) (+ (/ 1 (pow N 2)) (+ (/ (log (/ -1 N)) (pow N 2)) (* 2/3 (/ (log -1) (pow N 3)))))) (+ (/ 1 (pow N 3)) (+ (* 2/3 (/ (log (/ -1 N)) (pow N 3))) (+ (* 2 (/ (log (/ -1 N)) N)) (/ (log -1) (pow N 2)))))) 1.879 * * [simplify]: iteration 0: 138 enodes 1.925 * * [simplify]: iteration 1: 321 enodes 2.055 * * [simplify]: iteration 2: 859 enodes 2.265 * * [simplify]: iteration 3: 2012 enodes 2.678 * * [simplify]: iteration complete: 2012 enodes 2.678 * * [simplify]: Extracting #0: cost 42 inf + 0 2.679 * * [simplify]: Extracting #1: cost 343 inf + 1 2.681 * * [simplify]: Extracting #2: cost 713 inf + 159 2.690 * * [simplify]: Extracting #3: cost 776 inf + 9469 2.704 * * [simplify]: Extracting #4: cost 611 inf + 44027 2.738 * * [simplify]: Extracting #5: cost 340 inf + 132043 2.770 * * [simplify]: Extracting #6: cost 111 inf + 215476 2.856 * * [simplify]: Extracting #7: cost 23 inf + 273752 2.922 * * [simplify]: Extracting #8: cost 0 inf + 294599 3.018 * * [simplify]: Extracting #9: cost 0 inf + 294239 3.084 * [simplify]: Simplified to: (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) 0 (log (+ N 1)) 0 (log (+ N 1)) (log (+ (* (* N N) N) 1)) (log (+ (- 1 N) (* N N))) (log (+ -1 (* N N))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (+ 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))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) 0 (log (+ N 1)) 0 (log (+ N 1)) (log (+ (* (* N N) N) 1)) (log (+ (- 1 N) (* N N))) (log (+ -1 (* N N))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (+ 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))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) 0 (log (+ N 1)) 0 (log (+ N 1)) (log (+ (* (* N N) N) 1)) (log (+ (- 1 N) (* N N))) (log (+ -1 (* N N))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (+ 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))) (exp (* (- (log (+ N 1)) (log N)) (+ (log N) (log (+ N 1))))) (log (* (- (log (+ N 1)) (log N)) (+ (log N) (log (+ N 1))))) (exp (* (- (log (+ N 1)) (log N)) (+ (log N) (log (+ N 1))))) (* (cbrt (* (- (log (+ N 1)) (log N)) (+ (log N) (log (+ N 1))))) (cbrt (* (- (log (+ N 1)) (log N)) (+ (log N) (log (+ N 1)))))) (cbrt (* (- (log (+ N 1)) (log N)) (+ (log N) (log (+ N 1))))) (* (* (- (log (+ N 1)) (log N)) (+ (log N) (log (+ N 1)))) (* (* (- (log (+ N 1)) (log N)) (+ (log N) (log (+ N 1)))) (* (- (log (+ N 1)) (log N)) (+ (log N) (log (+ N 1)))))) (sqrt (* (- (log (+ N 1)) (log N)) (+ (log N) (log (+ N 1))))) (sqrt (* (- (log (+ N 1)) (log N)) (+ (log N) (log (+ N 1))))) (- (* (* (log (+ N 1)) (* (log (+ N 1)) (log (+ N 1)))) (* (log (+ N 1)) (* (log (+ N 1)) (log (+ N 1))))) (* (* (log N) (log N)) (* (* (log N) (log N)) (* (log N) (log N))))) (+ (* (* (log (+ N 1)) (log (+ N 1))) (* (log (+ N 1)) (log (+ N 1)))) (* (* (log N) (log N)) (+ (* (log N) (log N)) (* (log (+ N 1)) (log (+ N 1)))))) (* (log N) (- (log N))) (* (+ (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N)))) (+ (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log N) (log (+ N 1))) (- (log (+ N 1)) (log N)) (- (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log (cbrt N)))) (* (log N) (log (cbrt N)))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log (sqrt N)))) (* (log (+ N 1)) (log (+ N 1))) (- (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log (cbrt N)))) (* (log N) (log (cbrt N)))) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log (sqrt N)))) (* (log (+ N 1)) (log (+ N 1))) (- (* (log (+ N 1)) (log (cbrt (+ N 1)))) (* (log N) (log N))) (- (* (log (sqrt (+ 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 1)) (log (cbrt (+ N 1)))) (* (log N) (log N))) (- (* (log (sqrt (+ 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) (- (log N))) (real->posit16 (* (- (log (+ N 1)) (log N)) (+ (log N) (log (+ N 1))))) (+ N (* (* N N) (- (* 1/3 N) 1/2))) (+ (+ (log N) (/ -1/2 (* N N))) (/ 1 N)) (+ (- (- (+ (/ 1 N) (log -1)) (/ 1/2 (* N N))) (log -1)) (log N)) (+ N (* (* N N) (- (* 1/3 N) 1/2))) (+ (+ (log N) (/ -1/2 (* N N))) (/ 1 N)) (+ (- (- (+ (/ 1 N) (log -1)) (/ 1/2 (* N N))) (log -1)) (log N)) (+ N (* (* N N) (- (* 1/3 N) 1/2))) (+ (+ (log N) (/ -1/2 (* N N))) (/ 1 N)) (+ (- (- (+ (/ 1 N) (log -1)) (/ 1/2 (* N N))) (log -1)) (log N)) (- (- (* N N) (* (log N) (log N))) (* (* N N) N)) (+ (/ (- (log N)) (* N N)) (- (/ 1 (* N N)) (+ (* (/ (- (log N)) N) 2) (+ (/ (* (/ 2/3 N) (/ (- (log N)) N)) N) (/ (/ 1 N) (* N N)))))) (- (- (+ (+ (+ (/ 2/3 (/ (* (* N N) N) (log -1))) (/ 1 (* N N))) (/ (log (/ -1 N)) (* N N))) (+ (/ (* 2 (log -1)) N) (/ -1 (* (* N N) N)))) (/ 2/3 (/ (* (* N N) N) (log (/ -1 N))))) (+ (/ (log -1) (* N N)) (/ (* 2 (log (/ -1 N))) N))) 3.090 * * * [progress]: adding candidates to table 3.999 * * [progress]: iteration 3 / 4 3.999 * * * [progress]: picking best candidate 4.016 * * * * [pick]: Picked # 4.016 * * * [progress]: localizing error 4.024 * * * [progress]: generating rewritten candidates 4.024 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.028 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.046 * * * [progress]: generating series expansions 4.046 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.046 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 4.046 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 4.046 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 4.046 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.046 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.046 * [taylor]: Taking taylor expansion of N in N 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 1 into 1 4.047 * [taylor]: Taking taylor expansion of 1 in N 4.047 * [backup-simplify]: Simplify 1 into 1 4.047 * [taylor]: Taking taylor expansion of N in N 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 1 into 1 4.047 * [backup-simplify]: Simplify (+ 0 1) into 1 4.048 * [backup-simplify]: Simplify (/ 1 1) into 1 4.048 * [backup-simplify]: Simplify (log 1) into 0 4.048 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 4.048 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.048 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.048 * [taylor]: Taking taylor expansion of N in N 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.048 * [taylor]: Taking taylor expansion of 1 in N 4.048 * [backup-simplify]: Simplify 1 into 1 4.048 * [taylor]: Taking taylor expansion of N in N 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.049 * [backup-simplify]: Simplify (+ 0 1) into 1 4.049 * [backup-simplify]: Simplify (/ 1 1) into 1 4.050 * [backup-simplify]: Simplify (log 1) into 0 4.050 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.050 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.051 * [backup-simplify]: Simplify (+ 1 0) into 1 4.051 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 4.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.052 * [backup-simplify]: Simplify 1 into 1 4.052 * [backup-simplify]: Simplify (+ 0 0) into 0 4.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.054 * [backup-simplify]: Simplify -1/2 into -1/2 4.054 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 4.054 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 4.054 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 4.054 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 4.054 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.054 * [taylor]: Taking taylor expansion of N in N 4.054 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 1 into 1 4.055 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.055 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.055 * [taylor]: Taking taylor expansion of N in N 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 1 into 1 4.055 * [backup-simplify]: Simplify (/ 1 1) into 1 4.055 * [taylor]: Taking taylor expansion of 1 in N 4.055 * [backup-simplify]: Simplify 1 into 1 4.055 * [backup-simplify]: Simplify (+ 1 0) into 1 4.055 * [backup-simplify]: Simplify (* 0 1) into 0 4.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.056 * [backup-simplify]: Simplify (+ 0 1) into 1 4.057 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.057 * [backup-simplify]: Simplify (log 1) into 0 4.057 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 4.057 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.057 * [taylor]: Taking taylor expansion of N in N 4.057 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify 1 into 1 4.057 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.057 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.057 * [taylor]: Taking taylor expansion of N in N 4.057 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify 1 into 1 4.057 * [backup-simplify]: Simplify (/ 1 1) into 1 4.057 * [taylor]: Taking taylor expansion of 1 in N 4.057 * [backup-simplify]: Simplify 1 into 1 4.058 * [backup-simplify]: Simplify (+ 1 0) into 1 4.058 * [backup-simplify]: Simplify (* 0 1) into 0 4.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.059 * [backup-simplify]: Simplify (+ 0 1) into 1 4.059 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.059 * [backup-simplify]: Simplify (log 1) into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.060 * [backup-simplify]: Simplify (+ 0 0) into 0 4.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.062 * [backup-simplify]: Simplify 1 into 1 4.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.062 * [backup-simplify]: Simplify (+ 0 0) into 0 4.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 4.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.064 * [backup-simplify]: Simplify -1/2 into -1/2 4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.065 * [backup-simplify]: Simplify (+ 0 0) into 0 4.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 4.069 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 4.069 * [backup-simplify]: Simplify 1/3 into 1/3 4.069 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 4.069 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 4.069 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 4.069 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 4.070 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.070 * [taylor]: Taking taylor expansion of -1 in N 4.070 * [backup-simplify]: Simplify -1 into -1 4.070 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.070 * [taylor]: Taking taylor expansion of N in N 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify 1 into 1 4.070 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.070 * [taylor]: Taking taylor expansion of 1 in N 4.070 * [backup-simplify]: Simplify 1 into 1 4.070 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.070 * [taylor]: Taking taylor expansion of N in N 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify 1 into 1 4.070 * [backup-simplify]: Simplify (/ 1 1) into 1 4.070 * [backup-simplify]: Simplify (- 1) into -1 4.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.071 * [backup-simplify]: Simplify (* 0 -1) into 0 4.071 * [backup-simplify]: Simplify (* -1 0) into 0 4.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (- 0) into 0 4.072 * [backup-simplify]: Simplify (+ 1 0) into 1 4.072 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.073 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.073 * [backup-simplify]: Simplify (log 1) into 0 4.073 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 4.073 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.073 * [taylor]: Taking taylor expansion of -1 in N 4.073 * [backup-simplify]: Simplify -1 into -1 4.073 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.073 * [taylor]: Taking taylor expansion of N in N 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.073 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.073 * [taylor]: Taking taylor expansion of 1 in N 4.073 * [backup-simplify]: Simplify 1 into 1 4.073 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.073 * [taylor]: Taking taylor expansion of N in N 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.073 * [backup-simplify]: Simplify (/ 1 1) into 1 4.074 * [backup-simplify]: Simplify (- 1) into -1 4.074 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.074 * [backup-simplify]: Simplify (* 0 -1) into 0 4.074 * [backup-simplify]: Simplify (* -1 0) into 0 4.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.076 * [backup-simplify]: Simplify (- 0) into 0 4.076 * [backup-simplify]: Simplify (+ 1 0) into 1 4.077 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.077 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.078 * [backup-simplify]: Simplify (log 1) into 0 4.078 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.079 * [backup-simplify]: Simplify (- 0) into 0 4.080 * [backup-simplify]: Simplify (+ 0 0) into 0 4.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.081 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.083 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 4.083 * [backup-simplify]: Simplify -1 into -1 4.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.084 * [backup-simplify]: Simplify (- 0) into 0 4.085 * [backup-simplify]: Simplify (+ 0 0) into 0 4.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 4.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 4.090 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.090 * [backup-simplify]: Simplify -1/2 into -1/2 4.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.092 * [backup-simplify]: Simplify (- 0) into 0 4.092 * [backup-simplify]: Simplify (+ 0 0) into 0 4.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 4.095 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 4.100 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 4.100 * [backup-simplify]: Simplify -1/3 into -1/3 4.101 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 4.101 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.101 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 4.101 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 4.101 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.101 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.101 * [taylor]: Taking taylor expansion of N in N 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [taylor]: Taking taylor expansion of 1 in N 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [taylor]: Taking taylor expansion of N in N 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.102 * [backup-simplify]: Simplify (+ 0 1) into 1 4.102 * [backup-simplify]: Simplify (/ 1 1) into 1 4.102 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.102 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.102 * [taylor]: Taking taylor expansion of N in N 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 1 into 1 4.102 * [taylor]: Taking taylor expansion of 1 in N 4.102 * [backup-simplify]: Simplify 1 into 1 4.102 * [taylor]: Taking taylor expansion of N in N 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 1 into 1 4.109 * [backup-simplify]: Simplify (+ 0 1) into 1 4.109 * [backup-simplify]: Simplify (/ 1 1) into 1 4.109 * [backup-simplify]: Simplify 1 into 1 4.110 * [backup-simplify]: Simplify (+ 1 0) into 1 4.111 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (+ 0 0) into 0 4.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify (+ 0 0) into 0 4.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.113 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify (+ 0 0) into 0 4.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify (+ 0 0) into 0 4.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (+ 0 0) into 0 4.118 * [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 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify (+ 0 0) into 0 4.119 * [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 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 4.120 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 4.120 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 4.120 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.120 * [taylor]: Taking taylor expansion of N in N 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 1 into 1 4.120 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.120 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.120 * [taylor]: Taking taylor expansion of N in N 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 1 into 1 4.120 * [backup-simplify]: Simplify (/ 1 1) into 1 4.120 * [taylor]: Taking taylor expansion of 1 in N 4.120 * [backup-simplify]: Simplify 1 into 1 4.120 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.120 * [taylor]: Taking taylor expansion of N in N 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 1 into 1 4.120 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.120 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.121 * [taylor]: Taking taylor expansion of N in N 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 1 into 1 4.121 * [backup-simplify]: Simplify (/ 1 1) into 1 4.121 * [taylor]: Taking taylor expansion of 1 in N 4.121 * [backup-simplify]: Simplify 1 into 1 4.121 * [backup-simplify]: Simplify (+ 1 0) into 1 4.122 * [backup-simplify]: Simplify (* 0 1) into 0 4.122 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.123 * [backup-simplify]: Simplify (+ 0 1) into 1 4.124 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.124 * [backup-simplify]: Simplify 1 into 1 4.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.125 * [backup-simplify]: Simplify (+ 0 0) into 0 4.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.126 * [backup-simplify]: Simplify 1 into 1 4.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.127 * [backup-simplify]: Simplify (+ 0 0) into 0 4.129 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 4.129 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.130 * [backup-simplify]: Simplify (+ 0 0) into 0 4.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.133 * [backup-simplify]: Simplify (+ 0 0) into 0 4.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 4.134 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (+ 0 0) into 0 4.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 4.137 * [backup-simplify]: Simplify 0 into 0 4.138 * [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 4.139 * [backup-simplify]: Simplify (+ 0 0) into 0 4.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 4.141 * [backup-simplify]: Simplify 0 into 0 4.142 * [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 4.142 * [backup-simplify]: Simplify (+ 0 0) into 0 4.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 4.145 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 4.145 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 4.145 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.145 * [taylor]: Taking taylor expansion of -1 in N 4.145 * [backup-simplify]: Simplify -1 into -1 4.145 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.145 * [taylor]: Taking taylor expansion of N in N 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 1 into 1 4.145 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.145 * [taylor]: Taking taylor expansion of 1 in N 4.145 * [backup-simplify]: Simplify 1 into 1 4.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.145 * [taylor]: Taking taylor expansion of N in N 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 1 into 1 4.145 * [backup-simplify]: Simplify (/ 1 1) into 1 4.145 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.145 * [taylor]: Taking taylor expansion of -1 in N 4.145 * [backup-simplify]: Simplify -1 into -1 4.145 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.145 * [taylor]: Taking taylor expansion of N in N 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 1 into 1 4.146 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.146 * [taylor]: Taking taylor expansion of 1 in N 4.146 * [backup-simplify]: Simplify 1 into 1 4.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.146 * [taylor]: Taking taylor expansion of N in N 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 1 into 1 4.146 * [backup-simplify]: Simplify (/ 1 1) into 1 4.147 * [backup-simplify]: Simplify (- 1) into -1 4.147 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.147 * [backup-simplify]: Simplify (* 0 -1) into 0 4.148 * [backup-simplify]: Simplify (* -1 0) into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.149 * [backup-simplify]: Simplify (- 0) into 0 4.149 * [backup-simplify]: Simplify (+ 1 0) into 1 4.150 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.151 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.151 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.152 * [backup-simplify]: Simplify (- 0) into 0 4.153 * [backup-simplify]: Simplify (+ 0 0) into 0 4.154 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.155 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.155 * [backup-simplify]: Simplify -1 into -1 4.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.156 * [backup-simplify]: Simplify (- 0) into 0 4.156 * [backup-simplify]: Simplify (+ 0 0) into 0 4.158 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 4.159 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 4.159 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.160 * [backup-simplify]: Simplify (- 0) into 0 4.161 * [backup-simplify]: Simplify (+ 0 0) into 0 4.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 4.164 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 4.164 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (- 0) into 0 4.165 * [backup-simplify]: Simplify (+ 0 0) into 0 4.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 4.169 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.171 * [backup-simplify]: Simplify (- 0) into 0 4.171 * [backup-simplify]: Simplify (+ 0 0) into 0 4.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 4.175 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 4.175 * [backup-simplify]: Simplify 0 into 0 4.176 * [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 4.177 * [backup-simplify]: Simplify (- 0) into 0 4.177 * [backup-simplify]: Simplify (+ 0 0) into 0 4.179 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 4.181 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 4.181 * [backup-simplify]: Simplify 0 into 0 4.182 * [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 4.183 * [backup-simplify]: Simplify (- 0) into 0 4.183 * [backup-simplify]: Simplify (+ 0 0) into 0 4.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 4.187 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 4.188 * * * [progress]: simplifying candidates 4.188 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 4.188 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 4.188 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 4.188 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 4.188 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 4.188 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 4.188 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 4.188 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 4.188 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 4.188 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 4.188 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 4.188 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 4.188 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 4.188 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 4.188 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 4.188 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 4.189 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 4.189 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 4.190 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 4.191 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 4.191 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 4.191 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 4.191 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 4.191 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 4.191 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 4.191 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 4.191 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 4.191 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 4.191 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 4.191 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 4.191 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 4.191 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 4.191 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 4.192 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 4.192 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 4.193 * [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) 4.194 * * [simplify]: iteration 0: 102 enodes 4.237 * * [simplify]: iteration 1: 233 enodes 4.322 * * [simplify]: iteration 2: 620 enodes 4.533 * * [simplify]: iteration 3: 2000 enodes 4.996 * * [simplify]: iteration complete: 2000 enodes 4.996 * * [simplify]: Extracting #0: cost 66 inf + 0 4.997 * * [simplify]: Extracting #1: cost 319 inf + 2 5.001 * * [simplify]: Extracting #2: cost 729 inf + 490 5.013 * * [simplify]: Extracting #3: cost 517 inf + 38625 5.038 * * [simplify]: Extracting #4: cost 94 inf + 114118 5.058 * * [simplify]: Extracting #5: cost 8 inf + 130573 5.091 * * [simplify]: Extracting #6: cost 0 inf + 132597 5.115 * [simplify]: Simplified to: (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (+ (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (cbrt (+ N 1)) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1))))) (log (/ (cbrt (+ N 1)) (sqrt N))) (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) (log (/ (cbrt (+ N 1)) N)) (log (/ (/ (sqrt (+ N 1)) (cbrt N)) (cbrt N))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N)) (- (- (log (cbrt N))) (log (cbrt N))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) (- (- (log (cbrt N))) (log (cbrt N))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) 0 (log (/ (+ N 1) N)) (log (+ N 1)) (- (log N)) (log (+ N 1)) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (/ (+ N 1) N) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (log (/ (+ N 1) N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (+ (- N) -1) (- N) (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1)))) (/ (cbrt (+ N 1)) (sqrt N)) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (cbrt (+ N 1)) N) (/ (/ (sqrt (+ N 1)) (cbrt N)) (cbrt N)) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (sqrt (+ N 1)) (/ (sqrt (+ N 1)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (+ N 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (* N (+ (- 1 N) (* N N))) (* (+ -1 N) N) (real->posit16 (/ (+ N 1) 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)) 5.118 * * * [progress]: adding candidates to table 5.566 * * [progress]: iteration 4 / 4 5.566 * * * [progress]: picking best candidate 5.588 * * * * [pick]: Picked # 5.588 * * * [progress]: localizing error 5.639 * * * [progress]: generating rewritten candidates 5.639 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 5.645 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) 5.652 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1) 5.664 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1 2) 5.672 * * * [progress]: generating series expansions 5.672 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.672 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 5.672 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 5.672 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.672 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.672 * [taylor]: Taking taylor expansion of N in N 5.672 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify 1 into 1 5.672 * [taylor]: Taking taylor expansion of 1 in N 5.672 * [backup-simplify]: Simplify 1 into 1 5.673 * [backup-simplify]: Simplify (+ 0 1) into 1 5.674 * [backup-simplify]: Simplify (log 1) into 0 5.674 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.674 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.674 * [taylor]: Taking taylor expansion of N in N 5.674 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify 1 into 1 5.674 * [taylor]: Taking taylor expansion of 1 in N 5.674 * [backup-simplify]: Simplify 1 into 1 5.674 * [backup-simplify]: Simplify (+ 0 1) into 1 5.675 * [backup-simplify]: Simplify (log 1) into 0 5.675 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify (+ 1 0) into 1 5.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.677 * [backup-simplify]: Simplify 1 into 1 5.677 * [backup-simplify]: Simplify (+ 0 0) into 0 5.680 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.680 * [backup-simplify]: Simplify -1/2 into -1/2 5.681 * [backup-simplify]: Simplify (+ 0 0) into 0 5.686 * [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 5.686 * [backup-simplify]: Simplify 1/3 into 1/3 5.686 * [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))) 5.686 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 5.686 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 5.686 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.687 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.687 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.687 * [taylor]: Taking taylor expansion of N in N 5.687 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify 1 into 1 5.687 * [backup-simplify]: Simplify (/ 1 1) into 1 5.687 * [taylor]: Taking taylor expansion of 1 in N 5.687 * [backup-simplify]: Simplify 1 into 1 5.688 * [backup-simplify]: Simplify (+ 1 0) into 1 5.688 * [backup-simplify]: Simplify (log 1) into 0 5.688 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.688 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.688 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.688 * [taylor]: Taking taylor expansion of N in N 5.688 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify 1 into 1 5.689 * [backup-simplify]: Simplify (/ 1 1) into 1 5.689 * [taylor]: Taking taylor expansion of 1 in N 5.689 * [backup-simplify]: Simplify 1 into 1 5.689 * [backup-simplify]: Simplify (+ 1 0) into 1 5.690 * [backup-simplify]: Simplify (log 1) into 0 5.690 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.690 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.692 * [backup-simplify]: Simplify (+ 0 1) into 1 5.693 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.693 * [backup-simplify]: Simplify 1 into 1 5.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.694 * [backup-simplify]: Simplify (+ 0 0) into 0 5.697 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.697 * [backup-simplify]: Simplify -1/2 into -1/2 5.698 * [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)))) 5.698 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 5.698 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 5.698 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.698 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.698 * [taylor]: Taking taylor expansion of 1 in N 5.698 * [backup-simplify]: Simplify 1 into 1 5.698 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.698 * [taylor]: Taking taylor expansion of N in N 5.698 * [backup-simplify]: Simplify 0 into 0 5.698 * [backup-simplify]: Simplify 1 into 1 5.699 * [backup-simplify]: Simplify (/ 1 1) into 1 5.699 * [backup-simplify]: Simplify (- 1) into -1 5.699 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.700 * [backup-simplify]: Simplify (log -1) into (log -1) 5.700 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.700 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.700 * [taylor]: Taking taylor expansion of 1 in N 5.700 * [backup-simplify]: Simplify 1 into 1 5.700 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.700 * [taylor]: Taking taylor expansion of N in N 5.700 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify 1 into 1 5.700 * [backup-simplify]: Simplify (/ 1 1) into 1 5.701 * [backup-simplify]: Simplify (- 1) into -1 5.701 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.702 * [backup-simplify]: Simplify (log -1) into (log -1) 5.703 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.703 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.704 * [backup-simplify]: Simplify (- 0) into 0 5.705 * [backup-simplify]: Simplify (+ 1 0) into 1 5.706 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.706 * [backup-simplify]: Simplify -1 into -1 5.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.708 * [backup-simplify]: Simplify (- 0) into 0 5.708 * [backup-simplify]: Simplify (+ 0 0) into 0 5.711 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.711 * [backup-simplify]: Simplify -1/2 into -1/2 5.712 * [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)))) 5.712 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2) 5.712 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 5.712 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 5.712 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.712 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.712 * [taylor]: Taking taylor expansion of N in N 5.712 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify 1 into 1 5.712 * [taylor]: Taking taylor expansion of 1 in N 5.712 * [backup-simplify]: Simplify 1 into 1 5.713 * [backup-simplify]: Simplify (+ 0 1) into 1 5.713 * [backup-simplify]: Simplify (log 1) into 0 5.713 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.713 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.713 * [taylor]: Taking taylor expansion of N in N 5.713 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify 1 into 1 5.713 * [taylor]: Taking taylor expansion of 1 in N 5.713 * [backup-simplify]: Simplify 1 into 1 5.714 * [backup-simplify]: Simplify (+ 0 1) into 1 5.714 * [backup-simplify]: Simplify (log 1) into 0 5.714 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify (+ 1 0) into 1 5.716 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.716 * [backup-simplify]: Simplify 1 into 1 5.716 * [backup-simplify]: Simplify (+ 0 0) into 0 5.719 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.719 * [backup-simplify]: Simplify -1/2 into -1/2 5.720 * [backup-simplify]: Simplify (+ 0 0) into 0 5.724 * [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 5.724 * [backup-simplify]: Simplify 1/3 into 1/3 5.724 * [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))) 5.724 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 5.724 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 5.724 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.724 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.724 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.724 * [taylor]: Taking taylor expansion of N in N 5.724 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify 1 into 1 5.724 * [backup-simplify]: Simplify (/ 1 1) into 1 5.725 * [taylor]: Taking taylor expansion of 1 in N 5.725 * [backup-simplify]: Simplify 1 into 1 5.725 * [backup-simplify]: Simplify (+ 1 0) into 1 5.725 * [backup-simplify]: Simplify (log 1) into 0 5.725 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.725 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.725 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.725 * [taylor]: Taking taylor expansion of N in N 5.725 * [backup-simplify]: Simplify 0 into 0 5.725 * [backup-simplify]: Simplify 1 into 1 5.726 * [backup-simplify]: Simplify (/ 1 1) into 1 5.726 * [taylor]: Taking taylor expansion of 1 in N 5.726 * [backup-simplify]: Simplify 1 into 1 5.726 * [backup-simplify]: Simplify (+ 1 0) into 1 5.726 * [backup-simplify]: Simplify (log 1) into 0 5.727 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.727 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.727 * [backup-simplify]: Simplify (+ 0 1) into 1 5.728 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.728 * [backup-simplify]: Simplify 1 into 1 5.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.729 * [backup-simplify]: Simplify (+ 0 0) into 0 5.731 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.731 * [backup-simplify]: Simplify -1/2 into -1/2 5.731 * [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)))) 5.731 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 5.731 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 5.731 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.731 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.731 * [taylor]: Taking taylor expansion of 1 in N 5.731 * [backup-simplify]: Simplify 1 into 1 5.731 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.731 * [taylor]: Taking taylor expansion of N in N 5.731 * [backup-simplify]: Simplify 0 into 0 5.731 * [backup-simplify]: Simplify 1 into 1 5.731 * [backup-simplify]: Simplify (/ 1 1) into 1 5.732 * [backup-simplify]: Simplify (- 1) into -1 5.732 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.732 * [backup-simplify]: Simplify (log -1) into (log -1) 5.732 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.732 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.732 * [taylor]: Taking taylor expansion of 1 in N 5.732 * [backup-simplify]: Simplify 1 into 1 5.732 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.732 * [taylor]: Taking taylor expansion of N in N 5.732 * [backup-simplify]: Simplify 0 into 0 5.732 * [backup-simplify]: Simplify 1 into 1 5.732 * [backup-simplify]: Simplify (/ 1 1) into 1 5.733 * [backup-simplify]: Simplify (- 1) into -1 5.733 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.733 * [backup-simplify]: Simplify (log -1) into (log -1) 5.734 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.734 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.735 * [backup-simplify]: Simplify (- 0) into 0 5.735 * [backup-simplify]: Simplify (+ 1 0) into 1 5.736 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.736 * [backup-simplify]: Simplify -1 into -1 5.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.736 * [backup-simplify]: Simplify (- 0) into 0 5.737 * [backup-simplify]: Simplify (+ 0 0) into 0 5.738 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.738 * [backup-simplify]: Simplify -1/2 into -1/2 5.739 * [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)))) 5.739 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1) 5.739 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 5.739 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 5.739 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.739 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.739 * [taylor]: Taking taylor expansion of N in N 5.739 * [backup-simplify]: Simplify 0 into 0 5.739 * [backup-simplify]: Simplify 1 into 1 5.739 * [taylor]: Taking taylor expansion of 1 in N 5.739 * [backup-simplify]: Simplify 1 into 1 5.739 * [backup-simplify]: Simplify (+ 0 1) into 1 5.740 * [backup-simplify]: Simplify (log 1) into 0 5.740 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.740 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.740 * [taylor]: Taking taylor expansion of N in N 5.740 * [backup-simplify]: Simplify 0 into 0 5.740 * [backup-simplify]: Simplify 1 into 1 5.740 * [taylor]: Taking taylor expansion of 1 in N 5.740 * [backup-simplify]: Simplify 1 into 1 5.740 * [backup-simplify]: Simplify (+ 0 1) into 1 5.740 * [backup-simplify]: Simplify (log 1) into 0 5.740 * [backup-simplify]: Simplify 0 into 0 5.741 * [backup-simplify]: Simplify (+ 1 0) into 1 5.741 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.741 * [backup-simplify]: Simplify 1 into 1 5.742 * [backup-simplify]: Simplify (+ 0 0) into 0 5.743 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.743 * [backup-simplify]: Simplify -1/2 into -1/2 5.743 * [backup-simplify]: Simplify (+ 0 0) into 0 5.746 * [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 5.746 * [backup-simplify]: Simplify 1/3 into 1/3 5.746 * [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))) 5.746 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 5.746 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 5.746 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.746 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.746 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.746 * [taylor]: Taking taylor expansion of N in N 5.746 * [backup-simplify]: Simplify 0 into 0 5.746 * [backup-simplify]: Simplify 1 into 1 5.747 * [backup-simplify]: Simplify (/ 1 1) into 1 5.747 * [taylor]: Taking taylor expansion of 1 in N 5.747 * [backup-simplify]: Simplify 1 into 1 5.747 * [backup-simplify]: Simplify (+ 1 0) into 1 5.747 * [backup-simplify]: Simplify (log 1) into 0 5.747 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.747 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.747 * [taylor]: Taking taylor expansion of N in N 5.747 * [backup-simplify]: Simplify 0 into 0 5.747 * [backup-simplify]: Simplify 1 into 1 5.748 * [backup-simplify]: Simplify (/ 1 1) into 1 5.748 * [taylor]: Taking taylor expansion of 1 in N 5.748 * [backup-simplify]: Simplify 1 into 1 5.748 * [backup-simplify]: Simplify (+ 1 0) into 1 5.748 * [backup-simplify]: Simplify (log 1) into 0 5.749 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.749 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.749 * [backup-simplify]: Simplify (+ 0 1) into 1 5.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.750 * [backup-simplify]: Simplify 1 into 1 5.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.751 * [backup-simplify]: Simplify (+ 0 0) into 0 5.754 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.754 * [backup-simplify]: Simplify -1/2 into -1/2 5.754 * [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)))) 5.754 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 5.754 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 5.754 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.754 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.754 * [taylor]: Taking taylor expansion of 1 in N 5.754 * [backup-simplify]: Simplify 1 into 1 5.754 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.754 * [taylor]: Taking taylor expansion of N in N 5.754 * [backup-simplify]: Simplify 0 into 0 5.755 * [backup-simplify]: Simplify 1 into 1 5.755 * [backup-simplify]: Simplify (/ 1 1) into 1 5.755 * [backup-simplify]: Simplify (- 1) into -1 5.756 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.756 * [backup-simplify]: Simplify (log -1) into (log -1) 5.756 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.756 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.756 * [taylor]: Taking taylor expansion of 1 in N 5.756 * [backup-simplify]: Simplify 1 into 1 5.756 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.756 * [taylor]: Taking taylor expansion of N in N 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify 1 into 1 5.757 * [backup-simplify]: Simplify (/ 1 1) into 1 5.757 * [backup-simplify]: Simplify (- 1) into -1 5.758 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.758 * [backup-simplify]: Simplify (log -1) into (log -1) 5.759 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.759 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 5.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.760 * [backup-simplify]: Simplify (- 0) into 0 5.761 * [backup-simplify]: Simplify (+ 1 0) into 1 5.762 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.762 * [backup-simplify]: Simplify -1 into -1 5.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.764 * [backup-simplify]: Simplify (- 0) into 0 5.764 * [backup-simplify]: Simplify (+ 0 0) into 0 5.767 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.767 * [backup-simplify]: Simplify -1/2 into -1/2 5.767 * [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)))) 5.767 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1 2) 5.767 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 5.767 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 5.767 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.767 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.767 * [taylor]: Taking taylor expansion of N in N 5.767 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify 1 into 1 5.767 * [taylor]: Taking taylor expansion of 1 in N 5.768 * [backup-simplify]: Simplify 1 into 1 5.768 * [backup-simplify]: Simplify (+ 0 1) into 1 5.768 * [backup-simplify]: Simplify (log 1) into 0 5.768 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.768 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.768 * [taylor]: Taking taylor expansion of N in N 5.768 * [backup-simplify]: Simplify 0 into 0 5.768 * [backup-simplify]: Simplify 1 into 1 5.768 * [taylor]: Taking taylor expansion of 1 in N 5.768 * [backup-simplify]: Simplify 1 into 1 5.768 * [backup-simplify]: Simplify (+ 0 1) into 1 5.769 * [backup-simplify]: Simplify (log 1) into 0 5.769 * [backup-simplify]: Simplify 0 into 0 5.769 * [backup-simplify]: Simplify (+ 1 0) into 1 5.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.770 * [backup-simplify]: Simplify 1 into 1 5.770 * [backup-simplify]: Simplify (+ 0 0) into 0 5.771 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.772 * [backup-simplify]: Simplify -1/2 into -1/2 5.772 * [backup-simplify]: Simplify (+ 0 0) into 0 5.774 * [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 5.774 * [backup-simplify]: Simplify 1/3 into 1/3 5.775 * [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))) 5.775 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 5.775 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 5.775 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.775 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.775 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.775 * [taylor]: Taking taylor expansion of N in N 5.775 * [backup-simplify]: Simplify 0 into 0 5.775 * [backup-simplify]: Simplify 1 into 1 5.775 * [backup-simplify]: Simplify (/ 1 1) into 1 5.775 * [taylor]: Taking taylor expansion of 1 in N 5.775 * [backup-simplify]: Simplify 1 into 1 5.775 * [backup-simplify]: Simplify (+ 1 0) into 1 5.776 * [backup-simplify]: Simplify (log 1) into 0 5.776 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.776 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.776 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.776 * [taylor]: Taking taylor expansion of N in N 5.776 * [backup-simplify]: Simplify 0 into 0 5.776 * [backup-simplify]: Simplify 1 into 1 5.776 * [backup-simplify]: Simplify (/ 1 1) into 1 5.776 * [taylor]: Taking taylor expansion of 1 in N 5.776 * [backup-simplify]: Simplify 1 into 1 5.776 * [backup-simplify]: Simplify (+ 1 0) into 1 5.777 * [backup-simplify]: Simplify (log 1) into 0 5.777 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.777 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.778 * [backup-simplify]: Simplify (+ 0 1) into 1 6.171 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.171 * [backup-simplify]: Simplify 1 into 1 6.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.172 * [backup-simplify]: Simplify (+ 0 0) into 0 6.174 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.174 * [backup-simplify]: Simplify -1/2 into -1/2 6.174 * [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)))) 6.174 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 6.174 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 6.174 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 6.174 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.174 * [taylor]: Taking taylor expansion of 1 in N 6.174 * [backup-simplify]: Simplify 1 into 1 6.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.174 * [taylor]: Taking taylor expansion of N in N 6.174 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify 1 into 1 6.175 * [backup-simplify]: Simplify (/ 1 1) into 1 6.175 * [backup-simplify]: Simplify (- 1) into -1 6.175 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.175 * [backup-simplify]: Simplify (log -1) into (log -1) 6.175 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 6.175 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.175 * [taylor]: Taking taylor expansion of 1 in N 6.175 * [backup-simplify]: Simplify 1 into 1 6.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.175 * [taylor]: Taking taylor expansion of N in N 6.175 * [backup-simplify]: Simplify 0 into 0 6.175 * [backup-simplify]: Simplify 1 into 1 6.176 * [backup-simplify]: Simplify (/ 1 1) into 1 6.176 * [backup-simplify]: Simplify (- 1) into -1 6.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.176 * [backup-simplify]: Simplify (log -1) into (log -1) 6.177 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 6.177 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 6.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.178 * [backup-simplify]: Simplify (- 0) into 0 6.178 * [backup-simplify]: Simplify (+ 1 0) into 1 6.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 6.180 * [backup-simplify]: Simplify -1 into -1 6.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.181 * [backup-simplify]: Simplify (- 0) into 0 6.183 * [backup-simplify]: Simplify (+ 0 0) into 0 6.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 6.186 * [backup-simplify]: Simplify -1/2 into -1/2 6.187 * [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)))) 6.187 * * * [progress]: simplifying candidates 6.187 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 6.187 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 6.187 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 6.187 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 6.188 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 6.188 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 6.188 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 6.188 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 6.188 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 6.188 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 6.188 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 6.188 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 6.188 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 6.188 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 6.188 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 6.188 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N))))> 6.188 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 6.189 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 6.189 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 6.189 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 6.189 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 6.189 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 6.189 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 6.189 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 6.189 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 6.189 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 6.189 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 6.189 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 6.189 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 6.189 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 6.189 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 6.190 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (log (+ N 1))))) (* (log N) (log N))))) (+ (log (+ N 1)) (log N))))> 6.190 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 6.190 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 6.190 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 6.190 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 6.190 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 6.190 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 6.190 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 6.190 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 6.190 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 6.190 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 6.190 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 6.190 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 6.191 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 6.191 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 6.191 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 6.191 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log (+ N 1))) (* (log N) (log N))))) (+ (log (+ N 1)) (log N))))> 6.191 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 6.191 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 6.191 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 6.191 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 6.191 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 6.191 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 6.191 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 6.191 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 6.191 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 6.192 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 6.192 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 6.192 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 6.192 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 6.192 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 6.192 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 6.192 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (log (+ N 1))))) (* (log N) (log N))))) (cbrt (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))))) (+ (log (+ N 1)) (log N))))> 6.192 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 6.192 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 6.192 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 6.192 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 6.192 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 6.192 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 6.192 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 6.192 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 6.193 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 6.193 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 6.193 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 6.193 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 6.194 * [simplify]: Simplifying: (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log 1) (log (+ N 1)) (log 1) (log (+ N 1)) (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1)))) (log (- (* N N) (* 1 1))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (exp (log (+ N 1))) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (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))) (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))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log 1) (log (+ N 1)) (log 1) (log (+ N 1)) (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1)))) (log (- (* N N) (* 1 1))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (exp (log (+ N 1))) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ N (* 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)))) 6.195 * * [simplify]: iteration 0: 55 enodes 6.208 * * [simplify]: iteration 1: 110 enodes 6.243 * * [simplify]: iteration 2: 236 enodes 6.319 * * [simplify]: iteration 3: 528 enodes 6.563 * * [simplify]: iteration 4: 1366 enodes 6.853 * * [simplify]: iteration 5: 2003 enodes 7.301 * * [simplify]: iteration complete: 2003 enodes 7.301 * * [simplify]: Extracting #0: cost 18 inf + 0 7.302 * * [simplify]: Extracting #1: cost 120 inf + 1 7.304 * * [simplify]: Extracting #2: cost 464 inf + 727 7.310 * * [simplify]: Extracting #3: cost 443 inf + 9264 7.324 * * [simplify]: Extracting #4: cost 209 inf + 36947 7.352 * * [simplify]: Extracting #5: cost 62 inf + 73591 7.382 * * [simplify]: Extracting #6: cost 48 inf + 80985 7.419 * * [simplify]: Extracting #7: cost 10 inf + 86377 7.450 * * [simplify]: Extracting #8: cost 0 inf + 88907 7.476 * [simplify]: Simplified to: (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) 0 (log (+ N 1)) 0 (log (+ N 1)) (log (+ (* (* N N) N) 1)) (log (+ 1 (- (* N N) N))) (log (+ -1 (* N N))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (+ 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))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) 0 (log (+ N 1)) 0 (log (+ N 1)) (log (+ (* (* N N) N) 1)) (log (+ 1 (- (* N N) N))) (log (+ -1 (* N N))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (+ 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))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) 0 (log (+ N 1)) 0 (log (+ N 1)) (log (+ (* (* N N) N) 1)) (log (+ 1 (- (* N N) N))) (log (+ -1 (* N N))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (+ 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))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) 0 (log (+ N 1)) 0 (log (+ N 1)) (log (+ (* (* N N) N) 1)) (log (+ 1 (- (* N N) N))) (log (+ -1 (* N N))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (+ 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 N) (- (* N 1/3) 1/2)) N) (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) (+ (* (* N N) (- (* N 1/3) 1/2)) N) (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) (+ (* (* N N) (- (* N 1/3) 1/2)) N) (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) (+ (* (* N N) (- (* N 1/3) 1/2)) N) (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) 7.486 * * * [progress]: adding candidates to table 8.476 * [progress]: [Phase 3 of 3] Extracting. 8.477 * * [regime]: Finding splitpoints for: (# # # # # #) 8.479 * * * [regime-changes]: Trying 1 branch expressions: (N) 8.479 * * * * [regimes]: Trying to branch on N from (# # # # # #) 8.546 * * * [regime]: Found split indices: #