21.783 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.078 * * * [progress]: [2/2] Setting up program. 0.081 * [progress]: [Phase 2 of 3] Improving. 0.081 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.081 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.081 * * [simplify]: iteration 0: 6 enodes 0.082 * * [simplify]: iteration 1: 11 enodes 0.083 * * [simplify]: iteration 2: 12 enodes 0.085 * * [simplify]: iteration complete: 12 enodes 0.085 * * [simplify]: Extracting #0: cost 1 inf + 0 0.085 * * [simplify]: Extracting #1: cost 4 inf + 0 0.085 * * [simplify]: Extracting #2: cost 6 inf + 0 0.085 * * [simplify]: Extracting #3: cost 4 inf + 183 0.085 * * [simplify]: Extracting #4: cost 0 inf + 560 0.085 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.086 * * [progress]: iteration 1 / 4 0.086 * * * [progress]: picking best candidate 0.090 * * * * [pick]: Picked # 0.090 * * * [progress]: localizing error 0.113 * * * [progress]: generating rewritten candidates 0.113 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.120 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.134 * * * [progress]: generating series expansions 0.134 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.134 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.134 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.134 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.134 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.134 * [taylor]: Taking taylor expansion of N in N 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of 1 in N 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (+ 0 1) into 1 0.135 * [backup-simplify]: Simplify (log 1) into 0 0.135 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.135 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of 1 in N 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (+ 0 1) into 1 0.136 * [backup-simplify]: Simplify (log 1) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ 1 0) into 1 0.138 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.140 * [backup-simplify]: Simplify -1/2 into -1/2 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [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 0.144 * [backup-simplify]: Simplify 1/3 into 1/3 0.144 * [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))) 0.144 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.144 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.144 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.144 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of 1 in N 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ 1 0) into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.145 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.145 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of 1 in N 0.145 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.146 * [backup-simplify]: Simplify (log 1) into 0 0.146 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.146 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 1) into 1 0.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.150 * [backup-simplify]: Simplify -1/2 into -1/2 0.150 * [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)))) 0.151 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.151 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.151 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.151 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.151 * [taylor]: Taking taylor expansion of 1 in N 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [backup-simplify]: Simplify (- 1) into -1 0.151 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.152 * [backup-simplify]: Simplify (log -1) into (log -1) 0.152 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.152 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.152 * [taylor]: Taking taylor expansion of 1 in N 0.152 * [backup-simplify]: Simplify 1 into 1 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 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [backup-simplify]: Simplify (- 1) into -1 0.153 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.153 * [backup-simplify]: Simplify (log -1) into (log -1) 0.153 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.154 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.168 * [backup-simplify]: Simplify -1 into -1 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (- 0) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.173 * [backup-simplify]: Simplify -1/2 into -1/2 0.174 * [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)))) 0.174 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.174 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.174 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.174 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.174 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.174 * [taylor]: Taking taylor expansion of (+ N 1) 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 0.174 * [taylor]: Taking taylor expansion of 1 in N 0.174 * [backup-simplify]: Simplify 1 into 1 0.176 * [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 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (log 1) into 0 0.177 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.177 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.177 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of 1 in N 0.177 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (+ 0 1) into 1 0.178 * [backup-simplify]: Simplify (log 1) into 0 0.178 * [taylor]: Taking taylor expansion of (log N) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (log 1) into 0 0.179 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.179 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.179 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.179 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify (+ 1 0) into 1 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [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 0.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.187 * [backup-simplify]: Simplify -1/2 into -1/2 0.187 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.187 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.187 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.187 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.187 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.187 * [taylor]: Taking taylor expansion of N in N 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [taylor]: Taking taylor expansion of 1 in N 0.187 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify (log 1) into 0 0.188 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [backup-simplify]: Simplify (log 1) into 0 0.188 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.188 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [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 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify (log 1) into 0 0.189 * [taylor]: Taking taylor expansion of (log (/ 1 N)) 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 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [backup-simplify]: Simplify (log 1) into 0 0.190 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.190 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.191 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.191 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 1) into 1 0.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ 1 0) into 1 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.199 * [backup-simplify]: Simplify -1/2 into -1/2 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [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 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [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 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.207 * [backup-simplify]: Simplify 1/3 into 1/3 0.207 * [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)))) 0.207 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.207 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.207 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.207 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.207 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.207 * [taylor]: Taking taylor expansion of 1 in N 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify (- 1) into -1 0.208 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.208 * [backup-simplify]: Simplify (log -1) into (log -1) 0.209 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.209 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.209 * [taylor]: Taking taylor expansion of -1 in N 0.209 * [backup-simplify]: Simplify -1 into -1 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ -1 1) into -1 0.209 * [backup-simplify]: Simplify (log -1) into (log -1) 0.209 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.209 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.209 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.209 * [taylor]: Taking taylor expansion of 1 in N 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [backup-simplify]: Simplify (- 1) into -1 0.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.210 * [backup-simplify]: Simplify (log -1) into (log -1) 0.210 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.210 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.210 * [taylor]: Taking taylor expansion of -1 in N 0.210 * [backup-simplify]: Simplify -1 into -1 0.210 * [taylor]: Taking taylor expansion of N in N 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ -1 1) into -1 0.211 * [backup-simplify]: Simplify (log -1) into (log -1) 0.212 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.212 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.212 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.213 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (- 0) into 0 0.214 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ -1 0) into -1 0.217 * [backup-simplify]: Simplify -1 into -1 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.222 * [backup-simplify]: Simplify -1/2 into -1/2 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [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 0.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [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 0.231 * [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 0.232 * [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)))) 0.232 * * * [progress]: simplifying candidates 0.232 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 16 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.232 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.232 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 27 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.233 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.233 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.234 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.234 * [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)))) 0.235 * * [simplify]: iteration 0: 97 enodes 0.256 * * [simplify]: iteration 1: 200 enodes 0.315 * * [simplify]: iteration 2: 452 enodes 0.473 * * [simplify]: iteration 3: 1329 enodes 1.311 * * [simplify]: iteration 4: 3749 enodes 2.325 * * [simplify]: iteration complete: 5001 enodes 2.325 * * [simplify]: Extracting #0: cost 41 inf + 0 2.326 * * [simplify]: Extracting #1: cost 232 inf + 1 2.328 * * [simplify]: Extracting #2: cost 658 inf + 2201 2.337 * * [simplify]: Extracting #3: cost 608 inf + 38354 2.360 * * [simplify]: Extracting #4: cost 373 inf + 98233 2.407 * * [simplify]: Extracting #5: cost 165 inf + 194562 2.452 * * [simplify]: Extracting #6: cost 32 inf + 218575 2.501 * * [simplify]: Extracting #7: cost 0 inf + 228567 2.560 * [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 (- (+ (* N N) 1) 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 (+ 1 N)) (+ (log (+ 1 N)) (log N))) (* (log N) (log N))) (- (log N)) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (+ (log (+ 1 N)) (log N)) (+ (sqrt (log (+ 1 N))) (sqrt (log N))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (- (log (+ 1 N)) (log (cbrt N))) (log (cbrt N))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (- (+ (* N N) 1) 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) N)) (- (+ (/ 1 N) (log N)) (/ (/ 1/2 N) N)) (- (- N (log N)) (/ (* N N) 2)) (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) 2.562 * * * [progress]: adding candidates to table 2.751 * * [progress]: iteration 2 / 4 2.751 * * * [progress]: picking best candidate 2.760 * * * * [pick]: Picked # 2.760 * * * [progress]: localizing error 2.778 * * * [progress]: generating rewritten candidates 2.778 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.788 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.808 * * * [progress]: generating series expansions 2.808 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.808 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 2.808 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 2.808 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.808 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.808 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.808 * [taylor]: Taking taylor expansion of N in N 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 1 into 1 2.808 * [taylor]: Taking taylor expansion of 1 in N 2.808 * [backup-simplify]: Simplify 1 into 1 2.808 * [taylor]: Taking taylor expansion of N in N 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 1 into 1 2.808 * [backup-simplify]: Simplify (+ 0 1) into 1 2.809 * [backup-simplify]: Simplify (/ 1 1) into 1 2.809 * [backup-simplify]: Simplify (log 1) into 0 2.809 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.809 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.809 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.809 * [taylor]: Taking taylor expansion of N in N 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [taylor]: Taking taylor expansion of 1 in N 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [taylor]: Taking taylor expansion of N in N 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify (+ 0 1) into 1 2.810 * [backup-simplify]: Simplify (/ 1 1) into 1 2.810 * [backup-simplify]: Simplify (log 1) into 0 2.810 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.810 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.811 * [backup-simplify]: Simplify (+ 1 0) into 1 2.811 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.812 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.812 * [backup-simplify]: Simplify 1 into 1 2.812 * [backup-simplify]: Simplify (+ 0 0) into 0 2.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.814 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.814 * [backup-simplify]: Simplify -1/2 into -1/2 2.815 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 2.815 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 2.815 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 2.815 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.815 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.815 * [taylor]: Taking taylor expansion of N in N 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.815 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.815 * [taylor]: Taking taylor expansion of N in N 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify (/ 1 1) into 1 2.815 * [taylor]: Taking taylor expansion of 1 in N 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify (+ 1 0) into 1 2.816 * [backup-simplify]: Simplify (* 0 1) into 0 2.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.816 * [backup-simplify]: Simplify (+ 0 1) into 1 2.817 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.817 * [backup-simplify]: Simplify (log 1) into 0 2.817 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.817 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.817 * [taylor]: Taking taylor expansion of N in N 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 1 into 1 2.817 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.817 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.817 * [taylor]: Taking taylor expansion of N in N 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 1 into 1 2.818 * [backup-simplify]: Simplify (/ 1 1) into 1 2.818 * [taylor]: Taking taylor expansion of 1 in N 2.818 * [backup-simplify]: Simplify 1 into 1 2.818 * [backup-simplify]: Simplify (+ 1 0) into 1 2.818 * [backup-simplify]: Simplify (* 0 1) into 0 2.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (+ 0 1) into 1 2.820 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.820 * [backup-simplify]: Simplify (log 1) into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (+ 0 0) into 0 2.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.824 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.824 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.826 * [backup-simplify]: Simplify (+ 0 0) into 0 2.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.830 * [backup-simplify]: Simplify -1/2 into -1/2 2.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.832 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.838 * [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 2.839 * [backup-simplify]: Simplify 1/3 into 1/3 2.839 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.839 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 2.839 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 2.839 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.839 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.840 * [taylor]: Taking taylor expansion of -1 in N 2.840 * [backup-simplify]: Simplify -1 into -1 2.840 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.840 * [taylor]: Taking taylor expansion of N in N 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.840 * [taylor]: Taking taylor expansion of 1 in N 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.840 * [taylor]: Taking taylor expansion of N in N 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify (/ 1 1) into 1 2.841 * [backup-simplify]: Simplify (- 1) into -1 2.841 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.841 * [backup-simplify]: Simplify (* 0 -1) into 0 2.842 * [backup-simplify]: Simplify (* -1 0) into 0 2.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.843 * [backup-simplify]: Simplify (- 0) into 0 2.843 * [backup-simplify]: Simplify (+ 1 0) into 1 2.844 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.845 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.845 * [backup-simplify]: Simplify (log 1) into 0 2.845 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.845 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.845 * [taylor]: Taking taylor expansion of -1 in N 2.845 * [backup-simplify]: Simplify -1 into -1 2.845 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.845 * [taylor]: Taking taylor expansion of N in N 2.845 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.846 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.846 * [taylor]: Taking taylor expansion of 1 in N 2.846 * [backup-simplify]: Simplify 1 into 1 2.846 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.846 * [taylor]: Taking taylor expansion of N in N 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.846 * [backup-simplify]: Simplify (/ 1 1) into 1 2.846 * [backup-simplify]: Simplify (- 1) into -1 2.847 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.847 * [backup-simplify]: Simplify (* 0 -1) into 0 2.848 * [backup-simplify]: Simplify (* -1 0) into 0 2.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.849 * [backup-simplify]: Simplify (- 0) into 0 2.849 * [backup-simplify]: Simplify (+ 1 0) into 1 2.850 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.851 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.851 * [backup-simplify]: Simplify (log 1) into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.853 * [backup-simplify]: Simplify (- 0) into 0 2.853 * [backup-simplify]: Simplify (+ 0 0) into 0 2.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.855 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.856 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.856 * [backup-simplify]: Simplify -1 into -1 2.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.858 * [backup-simplify]: Simplify (- 0) into 0 2.862 * [backup-simplify]: Simplify (+ 0 0) into 0 2.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.865 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.868 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.868 * [backup-simplify]: Simplify -1/2 into -1/2 2.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.871 * [backup-simplify]: Simplify (- 0) into 0 2.871 * [backup-simplify]: Simplify (+ 0 0) into 0 2.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.874 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.880 * [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 2.880 * [backup-simplify]: Simplify -1/3 into -1/3 2.881 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.881 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.881 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 2.881 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 2.881 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.881 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.881 * [taylor]: Taking taylor expansion of N in N 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 1 into 1 2.881 * [taylor]: Taking taylor expansion of 1 in N 2.881 * [backup-simplify]: Simplify 1 into 1 2.881 * [taylor]: Taking taylor expansion of N in N 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 1 into 1 2.882 * [backup-simplify]: Simplify (+ 0 1) into 1 2.882 * [backup-simplify]: Simplify (/ 1 1) into 1 2.882 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.882 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.882 * [taylor]: Taking taylor expansion of N in N 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 1 into 1 2.882 * [taylor]: Taking taylor expansion of 1 in N 2.882 * [backup-simplify]: Simplify 1 into 1 2.882 * [taylor]: Taking taylor expansion of N in N 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 1 into 1 2.883 * [backup-simplify]: Simplify (+ 0 1) into 1 2.883 * [backup-simplify]: Simplify (/ 1 1) into 1 2.883 * [backup-simplify]: Simplify 1 into 1 2.884 * [backup-simplify]: Simplify (+ 1 0) into 1 2.885 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.885 * [backup-simplify]: Simplify 1 into 1 2.885 * [backup-simplify]: Simplify (+ 0 0) into 0 2.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify (+ 0 0) into 0 2.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.887 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify (+ 0 0) into 0 2.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify (+ 0 0) into 0 2.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify (+ 0 0) into 0 2.892 * [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 2.892 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (+ 0 0) into 0 2.894 * [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 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 2.894 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 2.894 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 2.894 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.894 * [taylor]: Taking taylor expansion of N in N 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.894 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.894 * [taylor]: Taking taylor expansion of N in N 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.895 * [backup-simplify]: Simplify (/ 1 1) into 1 2.895 * [taylor]: Taking taylor expansion of 1 in N 2.895 * [backup-simplify]: Simplify 1 into 1 2.895 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.895 * [taylor]: Taking taylor expansion of N in N 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.895 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.895 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.895 * [taylor]: Taking taylor expansion of N in N 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.895 * [backup-simplify]: Simplify (/ 1 1) into 1 2.895 * [taylor]: Taking taylor expansion of 1 in N 2.895 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (+ 1 0) into 1 2.896 * [backup-simplify]: Simplify (* 0 1) into 0 2.896 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify (+ 0 1) into 1 2.898 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.898 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.900 * [backup-simplify]: Simplify (+ 0 0) into 0 2.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.901 * [backup-simplify]: Simplify 1 into 1 2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.902 * [backup-simplify]: Simplify (+ 0 0) into 0 2.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.905 * [backup-simplify]: Simplify (+ 0 0) into 0 2.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.907 * [backup-simplify]: Simplify (+ 0 0) into 0 2.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 2.909 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.910 * [backup-simplify]: Simplify (+ 0 0) into 0 2.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.913 * [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 2.913 * [backup-simplify]: Simplify (+ 0 0) into 0 2.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.916 * [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 2.917 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 2.919 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 2.919 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 2.919 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.919 * [taylor]: Taking taylor expansion of -1 in N 2.919 * [backup-simplify]: Simplify -1 into -1 2.919 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.919 * [taylor]: Taking taylor expansion of N in N 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 1 into 1 2.919 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.919 * [taylor]: Taking taylor expansion of 1 in N 2.919 * [backup-simplify]: Simplify 1 into 1 2.919 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.919 * [taylor]: Taking taylor expansion of N in N 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 1 into 1 2.920 * [backup-simplify]: Simplify (/ 1 1) into 1 2.920 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.920 * [taylor]: Taking taylor expansion of -1 in N 2.920 * [backup-simplify]: Simplify -1 into -1 2.920 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.920 * [taylor]: Taking taylor expansion of N in N 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 1 into 1 2.920 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.920 * [taylor]: Taking taylor expansion of 1 in N 2.920 * [backup-simplify]: Simplify 1 into 1 2.920 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.920 * [taylor]: Taking taylor expansion of N in N 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 1 into 1 2.920 * [backup-simplify]: Simplify (/ 1 1) into 1 2.921 * [backup-simplify]: Simplify (- 1) into -1 2.921 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.922 * [backup-simplify]: Simplify (* 0 -1) into 0 2.922 * [backup-simplify]: Simplify (* -1 0) into 0 2.922 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (- 0) into 0 2.924 * [backup-simplify]: Simplify (+ 1 0) into 1 2.925 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.925 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.925 * [backup-simplify]: Simplify 1 into 1 2.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.927 * [backup-simplify]: Simplify (- 0) into 0 2.927 * [backup-simplify]: Simplify (+ 0 0) into 0 2.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.929 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.929 * [backup-simplify]: Simplify -1 into -1 2.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (- 0) into 0 2.931 * [backup-simplify]: Simplify (+ 0 0) into 0 2.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.934 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.934 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.935 * [backup-simplify]: Simplify (- 0) into 0 2.935 * [backup-simplify]: Simplify (+ 0 0) into 0 2.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.938 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.940 * [backup-simplify]: Simplify (- 0) into 0 2.940 * [backup-simplify]: Simplify (+ 0 0) into 0 2.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.944 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.945 * [backup-simplify]: Simplify (- 0) into 0 2.945 * [backup-simplify]: Simplify (+ 0 0) into 0 2.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.949 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.951 * [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 2.951 * [backup-simplify]: Simplify (- 0) into 0 2.952 * [backup-simplify]: Simplify (+ 0 0) into 0 2.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.955 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.956 * [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 2.956 * [backup-simplify]: Simplify (- 0) into 0 2.957 * [backup-simplify]: Simplify (+ 0 0) into 0 2.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 2.959 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 2.959 * * * [progress]: simplifying candidates 2.960 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 2.960 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 2.961 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 2.961 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 2.962 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 2.962 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 2.962 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 2.962 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 2.962 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 2.962 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 2.962 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 2.962 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 2.962 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 2.962 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 2.962 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 2.962 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 2.962 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 2.962 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 2.963 * [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) 2.963 * * [simplify]: iteration 0: 102 enodes 2.991 * * [simplify]: iteration 1: 233 enodes 3.068 * * [simplify]: iteration 2: 620 enodes 3.401 * * [simplify]: iteration 3: 2563 enodes 4.216 * * [simplify]: iteration complete: 5021 enodes 4.216 * * [simplify]: Extracting #0: cost 65 inf + 0 4.217 * * [simplify]: Extracting #1: cost 811 inf + 2 4.237 * * [simplify]: Extracting #2: cost 1697 inf + 7911 4.263 * * [simplify]: Extracting #3: cost 1456 inf + 130242 4.332 * * [simplify]: Extracting #4: cost 392 inf + 384181 4.405 * * [simplify]: Extracting #5: cost 10 inf + 502968 4.494 * * [simplify]: Extracting #6: cost 0 inf + 506109 4.611 * [simplify]: Simplified to: (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log (+ 1 N)) (- (log N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 1 N) N) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- -1 N) (- N) (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N)))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (/ (+ 1 N) (cbrt N)) (cbrt N)) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (- 1 N) (* N N))) (* (- N 1) N) (real->posit16 (/ (+ 1 N) N)) (+ (- N (log N)) (* -1/2 (* N N))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* N (* N N))))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ 1/3 (* N (* N N))))) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) 4.616 * * * [progress]: adding candidates to table 4.877 * * [progress]: iteration 3 / 4 4.877 * * * [progress]: picking best candidate 4.884 * * * * [pick]: Picked # 4.884 * * * [progress]: localizing error 4.901 * * * [progress]: generating rewritten candidates 4.901 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.924 * * * [progress]: generating series expansions 4.924 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.924 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 4.924 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 4.924 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 4.924 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.924 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.924 * [taylor]: Taking taylor expansion of N in N 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.925 * [backup-simplify]: Simplify (/ 1 1) into 1 4.925 * [taylor]: Taking taylor expansion of 1 in N 4.925 * [backup-simplify]: Simplify 1 into 1 4.925 * [backup-simplify]: Simplify (+ 1 0) into 1 4.926 * [backup-simplify]: Simplify (log 1) into 0 4.926 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 4.926 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.926 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.926 * [taylor]: Taking taylor expansion of N in N 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 1 into 1 4.926 * [backup-simplify]: Simplify (/ 1 1) into 1 4.927 * [taylor]: Taking taylor expansion of 1 in N 4.927 * [backup-simplify]: Simplify 1 into 1 4.927 * [backup-simplify]: Simplify (+ 1 0) into 1 4.927 * [backup-simplify]: Simplify (log 1) into 0 4.928 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.928 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.929 * [backup-simplify]: Simplify (+ 0 1) into 1 4.931 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.931 * [backup-simplify]: Simplify 1 into 1 4.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.932 * [backup-simplify]: Simplify (+ 0 0) into 0 4.935 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.935 * [backup-simplify]: Simplify -1/2 into -1/2 4.936 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 4.936 * [backup-simplify]: Simplify (log (+ (/ 1 (/ 1 N)) 1)) into (log (+ N 1)) 4.936 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 4.936 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 4.936 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.936 * [taylor]: Taking taylor expansion of N in N 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [taylor]: Taking taylor expansion of 1 in N 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [backup-simplify]: Simplify (+ 0 1) into 1 4.937 * [backup-simplify]: Simplify (log 1) into 0 4.937 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 4.937 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.937 * [taylor]: Taking taylor expansion of N in N 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.937 * [taylor]: Taking taylor expansion of 1 in N 4.937 * [backup-simplify]: Simplify 1 into 1 4.937 * [backup-simplify]: Simplify (+ 0 1) into 1 4.938 * [backup-simplify]: Simplify (log 1) into 0 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify (+ 1 0) into 1 4.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.940 * [backup-simplify]: Simplify 1 into 1 4.940 * [backup-simplify]: Simplify (+ 0 0) into 0 4.943 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.943 * [backup-simplify]: Simplify -1/2 into -1/2 4.944 * [backup-simplify]: Simplify (+ 0 0) into 0 4.949 * [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 4.949 * [backup-simplify]: Simplify 1/3 into 1/3 4.949 * [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)))) 4.949 * [backup-simplify]: Simplify (log (+ (/ 1 (/ 1 (- N))) 1)) into (log (- 1 N)) 4.949 * [approximate]: Taking taylor expansion of (log (- 1 N)) in (N) around 0 4.949 * [taylor]: Taking taylor expansion of (log (- 1 N)) in N 4.949 * [taylor]: Taking taylor expansion of (- 1 N) in N 4.949 * [taylor]: Taking taylor expansion of 1 in N 4.949 * [backup-simplify]: Simplify 1 into 1 4.950 * [taylor]: Taking taylor expansion of N in N 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 1 into 1 4.950 * [backup-simplify]: Simplify (- 0) into 0 4.950 * [backup-simplify]: Simplify (+ 1 0) into 1 4.951 * [backup-simplify]: Simplify (log 1) into 0 4.951 * [taylor]: Taking taylor expansion of (log (- 1 N)) in N 4.951 * [taylor]: Taking taylor expansion of (- 1 N) in N 4.951 * [taylor]: Taking taylor expansion of 1 in N 4.951 * [backup-simplify]: Simplify 1 into 1 4.951 * [taylor]: Taking taylor expansion of N in N 4.951 * [backup-simplify]: Simplify 0 into 0 4.951 * [backup-simplify]: Simplify 1 into 1 4.951 * [backup-simplify]: Simplify (- 0) into 0 4.952 * [backup-simplify]: Simplify (+ 1 0) into 1 4.952 * [backup-simplify]: Simplify (log 1) into 0 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify (- 1) into -1 4.953 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 4.954 * [backup-simplify]: Simplify -1 into -1 4.955 * [backup-simplify]: Simplify (- 0) into 0 4.955 * [backup-simplify]: Simplify (+ 0 0) into 0 4.958 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.958 * [backup-simplify]: Simplify -1/2 into -1/2 4.959 * [backup-simplify]: Simplify (- 0) into 0 4.959 * [backup-simplify]: Simplify (+ 0 0) into 0 4.969 * [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 4.969 * [backup-simplify]: Simplify -1/3 into -1/3 4.970 * [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)))) 4.970 * * * [progress]: simplifying candidates 4.970 * * * * [progress]: [ 1 / 20 ] simplifiying candidate # 4.970 * * * * [progress]: [ 2 / 20 ] simplifiying candidate # 4.970 * * * * [progress]: [ 3 / 20 ] simplifiying candidate # 4.970 * * * * [progress]: [ 4 / 20 ] simplifiying candidate # 4.970 * * * * [progress]: [ 5 / 20 ] simplifiying candidate # 4.970 * * * * [progress]: [ 6 / 20 ] simplifiying candidate # 4.970 * * * * [progress]: [ 7 / 20 ] simplifiying candidate # 4.970 * * * * [progress]: [ 8 / 20 ] simplifiying candidate # 4.970 * * * * [progress]: [ 9 / 20 ] simplifiying candidate # 4.970 * * * * [progress]: [ 10 / 20 ] simplifiying candidate # 4.970 * * * * [progress]: [ 11 / 20 ] simplifiying candidate # 4.970 * * * * [progress]: [ 12 / 20 ] simplifiying candidate # 4.970 * * * * [progress]: [ 13 / 20 ] simplifiying candidate # 4.970 * * * * [progress]: [ 14 / 20 ] simplifiying candidate # 4.971 * * * * [progress]: [ 15 / 20 ] simplifiying candidate # 4.971 * * * * [progress]: [ 16 / 20 ] simplifiying candidate # 4.971 * * * * [progress]: [ 17 / 20 ] simplifiying candidate #real (real->posit16 (log (+ (/ 1 N) 1)))))> 4.971 * * * * [progress]: [ 18 / 20 ] simplifiying candidate # 4.971 * * * * [progress]: [ 19 / 20 ] simplifiying candidate # 4.971 * * * * [progress]: [ 20 / 20 ] simplifiying candidate # 4.971 * [simplify]: Simplifying: (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1)))) (log (cbrt (+ (/ 1 N) 1))) (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (+ (/ 1 N) 1))) (log 1) (log (+ (/ 1 N) 1)) (log 1) (log (+ (/ 1 N) 1)) (log 1) (log (+ (/ 1 N) 1)) (log (+ (pow (/ 1 N) 3) (pow 1 3))) (log (+ (* (/ 1 N) (/ 1 N)) (- (* 1 1) (* (/ 1 N) 1)))) (log (- (* (/ 1 N) (/ 1 N)) (* 1 1))) (log (- (/ 1 N) 1)) (log (+ (/ 1 N) 1)) (log (log (+ (/ 1 N) 1))) (exp (log (+ (/ 1 N) 1))) (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (log (+ (/ 1 N) 1)))) (cbrt (log (+ (/ 1 N) 1))) (* (* (log (+ (/ 1 N) 1)) (log (+ (/ 1 N) 1))) (log (+ (/ 1 N) 1))) (sqrt (log (+ (/ 1 N) 1))) (sqrt (log (+ (/ 1 N) 1))) (real->posit16 (log (+ (/ 1 N) 1))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 4.972 * * [simplify]: iteration 0: 50 enodes 4.996 * * [simplify]: iteration 1: 107 enodes 5.058 * * [simplify]: iteration 2: 271 enodes 5.168 * * [simplify]: iteration 3: 645 enodes 5.773 * * [simplify]: iteration 4: 1949 enodes 6.971 * * [simplify]: iteration complete: 5000 enodes 6.971 * * [simplify]: Extracting #0: cost 18 inf + 0 6.971 * * [simplify]: Extracting #1: cost 114 inf + 1 6.975 * * [simplify]: Extracting #2: cost 791 inf + 1786 6.989 * * [simplify]: Extracting #3: cost 1002 inf + 26012 7.026 * * [simplify]: Extracting #4: cost 446 inf + 91533 7.086 * * [simplify]: Extracting #5: cost 194 inf + 164136 7.155 * * [simplify]: Extracting #6: cost 28 inf + 222142 7.198 * * [simplify]: Extracting #7: cost 0 inf + 226855 7.272 * [simplify]: Simplified to: (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1)))) (log (cbrt (+ (/ 1 N) 1))) (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (+ (/ 1 N) 1))) 0 (log (+ (/ 1 N) 1)) 0 (log (+ (/ 1 N) 1)) 0 (log (+ (/ 1 N) 1)) (log (+ 1 (/ (/ 1 N) (* N N)))) (log (+ 1 (* (/ 1 N) (- (/ 1 N) 1)))) (log (- (* (/ 1 N) (/ 1 N)) 1)) (log (- (/ 1 N) 1)) (log (+ (/ 1 N) 1)) (log (log (+ (/ 1 N) 1))) (+ (/ 1 N) 1) (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (log (+ (/ 1 N) 1)))) (cbrt (log (+ (/ 1 N) 1))) (* (log (+ (/ 1 N) 1)) (* (log (+ (/ 1 N) 1)) (log (+ (/ 1 N) 1)))) (sqrt (log (+ (/ 1 N) 1))) (sqrt (log (+ (/ 1 N) 1))) (real->posit16 (log (+ (/ 1 N) 1))) (- (+ N (* (* N N) -1/2)) (log N)) (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/3 (* (* N N) N))) (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/3 (* (* N N) N))) 7.274 * * * [progress]: adding candidates to table 7.352 * * [progress]: iteration 4 / 4 7.352 * * * [progress]: picking best candidate 7.354 * * * * [pick]: Picked # 7.354 * * * [progress]: localizing error 7.370 * * * [progress]: generating rewritten candidates 7.370 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 7.375 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 7.386 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 7.461 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 7.507 * * * [progress]: generating series expansions 7.507 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 7.507 * [backup-simplify]: Simplify (/ 1/3 N) into (/ 1/3 N) 7.508 * [approximate]: Taking taylor expansion of (/ 1/3 N) in (N) around 0 7.508 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 7.508 * [taylor]: Taking taylor expansion of 1/3 in N 7.508 * [backup-simplify]: Simplify 1/3 into 1/3 7.508 * [taylor]: Taking taylor expansion of N in N 7.508 * [backup-simplify]: Simplify 0 into 0 7.508 * [backup-simplify]: Simplify 1 into 1 7.509 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 7.509 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 7.509 * [taylor]: Taking taylor expansion of 1/3 in N 7.509 * [backup-simplify]: Simplify 1/3 into 1/3 7.509 * [taylor]: Taking taylor expansion of N in N 7.509 * [backup-simplify]: Simplify 0 into 0 7.509 * [backup-simplify]: Simplify 1 into 1 7.509 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 7.509 * [backup-simplify]: Simplify 1/3 into 1/3 7.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 7.510 * [backup-simplify]: Simplify 0 into 0 7.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.512 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.513 * [backup-simplify]: Simplify 0 into 0 7.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.514 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.515 * [backup-simplify]: Simplify 0 into 0 7.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.516 * [backup-simplify]: Simplify 0 into 0 7.517 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 7.517 * [backup-simplify]: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 7.517 * [approximate]: Taking taylor expansion of (* 1/3 N) in (N) around 0 7.517 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 7.517 * [taylor]: Taking taylor expansion of 1/3 in N 7.517 * [backup-simplify]: Simplify 1/3 into 1/3 7.517 * [taylor]: Taking taylor expansion of N in N 7.517 * [backup-simplify]: Simplify 0 into 0 7.517 * [backup-simplify]: Simplify 1 into 1 7.517 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 7.517 * [taylor]: Taking taylor expansion of 1/3 in N 7.517 * [backup-simplify]: Simplify 1/3 into 1/3 7.517 * [taylor]: Taking taylor expansion of N in N 7.517 * [backup-simplify]: Simplify 0 into 0 7.517 * [backup-simplify]: Simplify 1 into 1 7.518 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.518 * [backup-simplify]: Simplify 0 into 0 7.518 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 7.518 * [backup-simplify]: Simplify 1/3 into 1/3 7.519 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 7.519 * [backup-simplify]: Simplify 0 into 0 7.520 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.520 * [backup-simplify]: Simplify 0 into 0 7.521 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.521 * [backup-simplify]: Simplify 0 into 0 7.521 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.522 * [backup-simplify]: Simplify 0 into 0 7.522 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.523 * [backup-simplify]: Simplify 0 into 0 7.524 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.524 * [backup-simplify]: Simplify 0 into 0 7.524 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 7.524 * [backup-simplify]: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 7.524 * [approximate]: Taking taylor expansion of (* -1/3 N) in (N) around 0 7.524 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 7.524 * [taylor]: Taking taylor expansion of -1/3 in N 7.524 * [backup-simplify]: Simplify -1/3 into -1/3 7.524 * [taylor]: Taking taylor expansion of N in N 7.524 * [backup-simplify]: Simplify 0 into 0 7.524 * [backup-simplify]: Simplify 1 into 1 7.524 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 7.524 * [taylor]: Taking taylor expansion of -1/3 in N 7.524 * [backup-simplify]: Simplify -1/3 into -1/3 7.524 * [taylor]: Taking taylor expansion of N in N 7.524 * [backup-simplify]: Simplify 0 into 0 7.524 * [backup-simplify]: Simplify 1 into 1 7.524 * [backup-simplify]: Simplify (* -1/3 0) into 0 7.524 * [backup-simplify]: Simplify 0 into 0 7.525 * [backup-simplify]: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 7.525 * [backup-simplify]: Simplify -1/3 into -1/3 7.525 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 7.525 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.526 * [backup-simplify]: Simplify 0 into 0 7.527 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.527 * [backup-simplify]: Simplify 0 into 0 7.528 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.528 * [backup-simplify]: Simplify 0 into 0 7.529 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.529 * [backup-simplify]: Simplify 0 into 0 7.530 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.530 * [backup-simplify]: Simplify 0 into 0 7.530 * [backup-simplify]: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 7.530 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 7.530 * [backup-simplify]: Simplify (/ (/ 1 N) N) into (/ 1 (pow N 2)) 7.530 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 7.530 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.530 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.530 * [taylor]: Taking taylor expansion of N in N 7.530 * [backup-simplify]: Simplify 0 into 0 7.530 * [backup-simplify]: Simplify 1 into 1 7.531 * [backup-simplify]: Simplify (* 1 1) into 1 7.531 * [backup-simplify]: Simplify (/ 1 1) into 1 7.531 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.531 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.531 * [taylor]: Taking taylor expansion of N in N 7.531 * [backup-simplify]: Simplify 0 into 0 7.531 * [backup-simplify]: Simplify 1 into 1 7.531 * [backup-simplify]: Simplify (* 1 1) into 1 7.531 * [backup-simplify]: Simplify (/ 1 1) into 1 7.532 * [backup-simplify]: Simplify 1 into 1 7.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.532 * [backup-simplify]: Simplify 0 into 0 7.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.534 * [backup-simplify]: Simplify 0 into 0 7.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.535 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.537 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.538 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 7.540 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (/ 1 N)) into (pow N 2) 7.540 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 7.540 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.540 * [taylor]: Taking taylor expansion of N in N 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 1 into 1 7.540 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.540 * [taylor]: Taking taylor expansion of N in N 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 1 into 1 7.540 * [backup-simplify]: Simplify (* 1 1) into 1 7.540 * [backup-simplify]: Simplify 1 into 1 7.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.544 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 7.545 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) into (pow N 2) 7.545 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 7.545 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.545 * [taylor]: Taking taylor expansion of N in N 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify 1 into 1 7.545 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.545 * [taylor]: Taking taylor expansion of N in N 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify 1 into 1 7.546 * [backup-simplify]: Simplify (* 1 1) into 1 7.546 * [backup-simplify]: Simplify 1 into 1 7.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.546 * [backup-simplify]: Simplify 0 into 0 7.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.547 * [backup-simplify]: Simplify 0 into 0 7.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.547 * [backup-simplify]: Simplify 0 into 0 7.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.548 * [backup-simplify]: Simplify 0 into 0 7.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.549 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.550 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 7.550 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 7.550 * [backup-simplify]: Simplify (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))) into (/ (- 1/2 (* 1/3 (/ 1 N))) (pow N 2)) 7.550 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/3 (/ 1 N))) (pow N 2)) in (N) around 0 7.550 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/3 (/ 1 N))) (pow N 2)) in N 7.550 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/3 (/ 1 N))) in N 7.550 * [taylor]: Taking taylor expansion of 1/2 in N 7.550 * [backup-simplify]: Simplify 1/2 into 1/2 7.550 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 7.550 * [taylor]: Taking taylor expansion of 1/3 in N 7.550 * [backup-simplify]: Simplify 1/3 into 1/3 7.550 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.551 * [taylor]: Taking taylor expansion of N in N 7.551 * [backup-simplify]: Simplify 0 into 0 7.551 * [backup-simplify]: Simplify 1 into 1 7.551 * [backup-simplify]: Simplify (/ 1 1) into 1 7.551 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.551 * [taylor]: Taking taylor expansion of N in N 7.551 * [backup-simplify]: Simplify 0 into 0 7.551 * [backup-simplify]: Simplify 1 into 1 7.552 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 7.552 * [backup-simplify]: Simplify (- 1/3) into -1/3 7.552 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 7.553 * [backup-simplify]: Simplify (* 1 1) into 1 7.553 * [backup-simplify]: Simplify (/ -1/3 1) into -1/3 7.553 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/3 (/ 1 N))) (pow N 2)) in N 7.553 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/3 (/ 1 N))) in N 7.554 * [taylor]: Taking taylor expansion of 1/2 in N 7.554 * [backup-simplify]: Simplify 1/2 into 1/2 7.554 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 N)) in N 7.554 * [taylor]: Taking taylor expansion of 1/3 in N 7.554 * [backup-simplify]: Simplify 1/3 into 1/3 7.554 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.554 * [taylor]: Taking taylor expansion of N in N 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify 1 into 1 7.555 * [backup-simplify]: Simplify (/ 1 1) into 1 7.555 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.555 * [taylor]: Taking taylor expansion of N in N 7.555 * [backup-simplify]: Simplify 0 into 0 7.555 * [backup-simplify]: Simplify 1 into 1 7.555 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 7.556 * [backup-simplify]: Simplify (- 1/3) into -1/3 7.556 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 7.557 * [backup-simplify]: Simplify (* 1 1) into 1 7.557 * [backup-simplify]: Simplify (/ -1/3 1) into -1/3 7.557 * [backup-simplify]: Simplify -1/3 into -1/3 7.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.559 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 7.560 * [backup-simplify]: Simplify (- 0) into 0 7.560 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.562 * [backup-simplify]: Simplify (- (/ 1/2 1) (+ (* -1/3 (/ 0 1)))) into 1/2 7.562 * [backup-simplify]: Simplify 1/2 into 1/2 7.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.564 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 7.564 * [backup-simplify]: Simplify (- 0) into 0 7.565 * [backup-simplify]: Simplify (+ 0 0) into 0 7.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 1/2 (/ 0 1)))) into 0 7.567 * [backup-simplify]: Simplify 0 into 0 7.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.569 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.570 * [backup-simplify]: Simplify (- 0) into 0 7.570 * [backup-simplify]: Simplify (+ 0 0) into 0 7.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.573 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.575 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.576 * [backup-simplify]: Simplify (- 0) into 0 7.576 * [backup-simplify]: Simplify (+ 0 0) into 0 7.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.579 * [backup-simplify]: Simplify 0 into 0 7.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.582 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.582 * [backup-simplify]: Simplify (- 0) into 0 7.583 * [backup-simplify]: Simplify (+ 0 0) into 0 7.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.585 * [backup-simplify]: Simplify 0 into 0 7.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.588 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.589 * [backup-simplify]: Simplify (- 0) into 0 7.589 * [backup-simplify]: Simplify (+ 0 0) into 0 7.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.596 * [backup-simplify]: Simplify 0 into 0 7.597 * [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 7.599 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.600 * [backup-simplify]: Simplify (- 0) into 0 7.600 * [backup-simplify]: Simplify (+ 0 0) into 0 7.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.603 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify (+ (* 1/2 (pow (/ 1 N) 2)) (* -1/3 (pow (/ 1 N) 3))) into (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) 7.604 * [backup-simplify]: Simplify (* (/ (/ 1 (/ 1 N)) (/ 1 N)) (- 1/2 (/ 1/3 (/ 1 N)))) into (* (- 1/2 (* 1/3 N)) (pow N 2)) 7.604 * [approximate]: Taking taylor expansion of (* (- 1/2 (* 1/3 N)) (pow N 2)) in (N) around 0 7.604 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/3 N)) (pow N 2)) in N 7.604 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/3 N)) in N 7.604 * [taylor]: Taking taylor expansion of 1/2 in N 7.604 * [backup-simplify]: Simplify 1/2 into 1/2 7.604 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 7.604 * [taylor]: Taking taylor expansion of 1/3 in N 7.604 * [backup-simplify]: Simplify 1/3 into 1/3 7.604 * [taylor]: Taking taylor expansion of N in N 7.604 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify 1 into 1 7.604 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.604 * [taylor]: Taking taylor expansion of N in N 7.604 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify 1 into 1 7.604 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/3 N)) (pow N 2)) in N 7.604 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/3 N)) in N 7.604 * [taylor]: Taking taylor expansion of 1/2 in N 7.604 * [backup-simplify]: Simplify 1/2 into 1/2 7.604 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 7.604 * [taylor]: Taking taylor expansion of 1/3 in N 7.604 * [backup-simplify]: Simplify 1/3 into 1/3 7.604 * [taylor]: Taking taylor expansion of N in N 7.604 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 1 into 1 7.605 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.605 * [taylor]: Taking taylor expansion of N in N 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 1 into 1 7.605 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.606 * [backup-simplify]: Simplify (- 0) into 0 7.606 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.606 * [backup-simplify]: Simplify (* 1 1) into 1 7.607 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.607 * [backup-simplify]: Simplify 1/2 into 1/2 7.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.608 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 7.609 * [backup-simplify]: Simplify (- 1/3) into -1/3 7.609 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 7.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/3 1)) into -1/3 7.610 * [backup-simplify]: Simplify -1/3 into -1/3 7.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.612 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 7.612 * [backup-simplify]: Simplify (- 0) into 0 7.613 * [backup-simplify]: Simplify (+ 0 0) into 0 7.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/3 0) (* 0 1))) into 0 7.614 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.616 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.617 * [backup-simplify]: Simplify (- 0) into 0 7.617 * [backup-simplify]: Simplify (+ 0 0) into 0 7.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/3 0) (+ (* 0 0) (* 0 1)))) into 0 7.618 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.621 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.621 * [backup-simplify]: Simplify (- 0) into 0 7.622 * [backup-simplify]: Simplify (+ 0 0) into 0 7.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.623 * [backup-simplify]: Simplify 0 into 0 7.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.626 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.627 * [backup-simplify]: Simplify (- 0) into 0 7.627 * [backup-simplify]: Simplify (+ 0 0) into 0 7.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.629 * [backup-simplify]: Simplify 0 into 0 7.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.633 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.633 * [backup-simplify]: Simplify (- 0) into 0 7.634 * [backup-simplify]: Simplify (+ 0 0) into 0 7.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.636 * [backup-simplify]: Simplify 0 into 0 7.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.640 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.640 * [backup-simplify]: Simplify (- 0) into 0 7.640 * [backup-simplify]: Simplify (+ 0 0) into 0 7.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.643 * [backup-simplify]: Simplify 0 into 0 7.643 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 N) 3)) (* 1/2 (pow (/ 1 N) 2))) into (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) 7.643 * [backup-simplify]: Simplify (* (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) (- 1/2 (/ 1/3 (/ 1 (- N))))) into (* (pow N 2) (+ (* 1/3 N) 1/2)) 7.643 * [approximate]: Taking taylor expansion of (* (pow N 2) (+ (* 1/3 N) 1/2)) in (N) around 0 7.644 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 1/3 N) 1/2)) in N 7.644 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.644 * [taylor]: Taking taylor expansion of N in N 7.644 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify 1 into 1 7.644 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 7.644 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 7.644 * [taylor]: Taking taylor expansion of 1/3 in N 7.644 * [backup-simplify]: Simplify 1/3 into 1/3 7.644 * [taylor]: Taking taylor expansion of N in N 7.644 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify 1 into 1 7.644 * [taylor]: Taking taylor expansion of 1/2 in N 7.644 * [backup-simplify]: Simplify 1/2 into 1/2 7.644 * [taylor]: Taking taylor expansion of (* (pow N 2) (+ (* 1/3 N) 1/2)) in N 7.644 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.644 * [taylor]: Taking taylor expansion of N in N 7.644 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify 1 into 1 7.644 * [taylor]: Taking taylor expansion of (+ (* 1/3 N) 1/2) in N 7.644 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 7.644 * [taylor]: Taking taylor expansion of 1/3 in N 7.644 * [backup-simplify]: Simplify 1/3 into 1/3 7.644 * [taylor]: Taking taylor expansion of N in N 7.644 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify 1 into 1 7.644 * [taylor]: Taking taylor expansion of 1/2 in N 7.644 * [backup-simplify]: Simplify 1/2 into 1/2 7.645 * [backup-simplify]: Simplify (* 1 1) into 1 7.645 * [backup-simplify]: Simplify (* 1/3 0) into 0 7.646 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.646 * [backup-simplify]: Simplify (* 1 1/2) into 1/2 7.646 * [backup-simplify]: Simplify 1/2 into 1/2 7.647 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 7.647 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 7.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.649 * [backup-simplify]: Simplify (+ (* 1 1/3) (* 0 1/2)) into 1/3 7.649 * [backup-simplify]: Simplify 1/3 into 1/3 7.650 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 7.650 * [backup-simplify]: Simplify (+ 0 0) into 0 7.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (* 0 1/2))) into 0 7.652 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.654 * [backup-simplify]: Simplify (+ 0 0) into 0 7.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1/3) (* 0 1/2)))) into 0 7.657 * [backup-simplify]: Simplify 0 into 0 7.658 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.659 * [backup-simplify]: Simplify (+ 0 0) into 0 7.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (* 0 1/2))))) into 0 7.662 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.664 * [backup-simplify]: Simplify (+ 0 0) into 0 7.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (* 0 1/2)))))) into 0 7.667 * [backup-simplify]: Simplify 0 into 0 7.669 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.669 * [backup-simplify]: Simplify (+ 0 0) into 0 7.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (* 0 1/2))))))) into 0 7.673 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.676 * [backup-simplify]: Simplify (+ 0 0) into 0 7.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (* 0 1/2)))))))) into 0 7.680 * [backup-simplify]: Simplify 0 into 0 7.680 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 (- N)) 3)) (* 1/2 (pow (/ 1 (- N)) 2))) into (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) 7.680 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.681 * [backup-simplify]: Simplify (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 7.681 * [approximate]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 7.681 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 7.681 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 7.681 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.681 * [taylor]: Taking taylor expansion of N in N 7.681 * [backup-simplify]: Simplify 0 into 0 7.681 * [backup-simplify]: Simplify 1 into 1 7.681 * [backup-simplify]: Simplify (/ 1 1) into 1 7.681 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 7.681 * [taylor]: Taking taylor expansion of 1/3 in N 7.681 * [backup-simplify]: Simplify 1/3 into 1/3 7.682 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.682 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.682 * [taylor]: Taking taylor expansion of N in N 7.682 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify 1 into 1 7.682 * [backup-simplify]: Simplify (* 1 1) into 1 7.683 * [backup-simplify]: Simplify (* 1 1) into 1 7.683 * [backup-simplify]: Simplify (/ 1 1) into 1 7.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 7.683 * [taylor]: Taking taylor expansion of 1/2 in N 7.683 * [backup-simplify]: Simplify 1/2 into 1/2 7.683 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.683 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.683 * [taylor]: Taking taylor expansion of N in N 7.683 * [backup-simplify]: Simplify 0 into 0 7.683 * [backup-simplify]: Simplify 1 into 1 7.684 * [backup-simplify]: Simplify (* 1 1) into 1 7.684 * [backup-simplify]: Simplify (/ 1 1) into 1 7.684 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 7.684 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 7.684 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.684 * [taylor]: Taking taylor expansion of N in N 7.684 * [backup-simplify]: Simplify 0 into 0 7.684 * [backup-simplify]: Simplify 1 into 1 7.685 * [backup-simplify]: Simplify (/ 1 1) into 1 7.685 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 7.685 * [taylor]: Taking taylor expansion of 1/3 in N 7.685 * [backup-simplify]: Simplify 1/3 into 1/3 7.685 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.685 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.685 * [taylor]: Taking taylor expansion of N in N 7.685 * [backup-simplify]: Simplify 0 into 0 7.685 * [backup-simplify]: Simplify 1 into 1 7.685 * [backup-simplify]: Simplify (* 1 1) into 1 7.686 * [backup-simplify]: Simplify (* 1 1) into 1 7.686 * [backup-simplify]: Simplify (/ 1 1) into 1 7.686 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 7.686 * [taylor]: Taking taylor expansion of 1/2 in N 7.686 * [backup-simplify]: Simplify 1/2 into 1/2 7.686 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.686 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.686 * [taylor]: Taking taylor expansion of N in N 7.686 * [backup-simplify]: Simplify 0 into 0 7.686 * [backup-simplify]: Simplify 1 into 1 7.687 * [backup-simplify]: Simplify (* 1 1) into 1 7.687 * [backup-simplify]: Simplify (/ 1 1) into 1 7.688 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 7.688 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 7.689 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 7.689 * [backup-simplify]: Simplify 1/3 into 1/3 7.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.692 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 7.692 * [backup-simplify]: Simplify (+ 0 0) into 0 7.693 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.693 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.694 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 7.694 * [backup-simplify]: Simplify -1/2 into -1/2 7.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.698 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 7.698 * [backup-simplify]: Simplify (+ 1 0) into 1 7.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.701 * [backup-simplify]: Simplify (- 0) into 0 7.701 * [backup-simplify]: Simplify (+ 1 0) into 1 7.701 * [backup-simplify]: Simplify 1 into 1 7.702 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 7.702 * [backup-simplify]: Simplify (- (/ 1 (/ 1 N)) (* (/ (/ 1 (/ 1 N)) (/ 1 N)) (- 1/2 (/ 1/3 (/ 1 N))))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 7.702 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 7.702 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 7.702 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 7.702 * [taylor]: Taking taylor expansion of N in N 7.702 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify 1 into 1 7.702 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 7.703 * [taylor]: Taking taylor expansion of 1/3 in N 7.703 * [backup-simplify]: Simplify 1/3 into 1/3 7.703 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.703 * [taylor]: Taking taylor expansion of N in N 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 1 into 1 7.703 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 7.703 * [taylor]: Taking taylor expansion of 1/2 in N 7.703 * [backup-simplify]: Simplify 1/2 into 1/2 7.703 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.703 * [taylor]: Taking taylor expansion of N in N 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 1 into 1 7.703 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 7.703 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 7.703 * [taylor]: Taking taylor expansion of N in N 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 1 into 1 7.703 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 7.703 * [taylor]: Taking taylor expansion of 1/3 in N 7.703 * [backup-simplify]: Simplify 1/3 into 1/3 7.703 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.703 * [taylor]: Taking taylor expansion of N in N 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 1 into 1 7.703 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 7.703 * [taylor]: Taking taylor expansion of 1/2 in N 7.703 * [backup-simplify]: Simplify 1/2 into 1/2 7.703 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.703 * [taylor]: Taking taylor expansion of N in N 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 1 into 1 7.704 * [backup-simplify]: Simplify (+ 0 0) into 0 7.704 * [backup-simplify]: Simplify (+ 0 0) into 0 7.704 * [backup-simplify]: Simplify 0 into 0 7.705 * [backup-simplify]: Simplify (+ 1 0) into 1 7.705 * [backup-simplify]: Simplify (+ 1 0) into 1 7.705 * [backup-simplify]: Simplify 1 into 1 7.706 * [backup-simplify]: Simplify (+ 0 0) into 0 7.706 * [backup-simplify]: Simplify (* 1 1) into 1 7.706 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.707 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.707 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 7.707 * [backup-simplify]: Simplify -1/2 into -1/2 7.708 * [backup-simplify]: Simplify (* 1 1) into 1 7.708 * [backup-simplify]: Simplify (* 1 1) into 1 7.708 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 7.709 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 7.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.711 * [backup-simplify]: Simplify (- 0) into 0 7.711 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 7.711 * [backup-simplify]: Simplify 1/3 into 1/3 7.712 * [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)))) 7.712 * [backup-simplify]: Simplify (- (/ 1 (/ 1 (- N))) (* (/ (/ 1 (/ 1 (- N))) (/ 1 (- N))) (- 1/2 (/ 1/3 (/ 1 (- N)))))) into (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) 7.712 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in (N) around 0 7.712 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 7.712 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 7.712 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 7.712 * [taylor]: Taking taylor expansion of 1/2 in N 7.712 * [backup-simplify]: Simplify 1/2 into 1/2 7.712 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.713 * [taylor]: Taking taylor expansion of N in N 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify 1 into 1 7.713 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 7.713 * [taylor]: Taking taylor expansion of N in N 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify 1 into 1 7.713 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 7.713 * [taylor]: Taking taylor expansion of 1/3 in N 7.713 * [backup-simplify]: Simplify 1/3 into 1/3 7.713 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.713 * [taylor]: Taking taylor expansion of N in N 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify 1 into 1 7.713 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 7.713 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 7.713 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 7.713 * [taylor]: Taking taylor expansion of 1/2 in N 7.713 * [backup-simplify]: Simplify 1/2 into 1/2 7.713 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.713 * [taylor]: Taking taylor expansion of N in N 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify 1 into 1 7.713 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 7.713 * [taylor]: Taking taylor expansion of N in N 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify 1 into 1 7.713 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 7.713 * [taylor]: Taking taylor expansion of 1/3 in N 7.713 * [backup-simplify]: Simplify 1/3 into 1/3 7.713 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.713 * [taylor]: Taking taylor expansion of N in N 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify 1 into 1 7.714 * [backup-simplify]: Simplify (+ 0 0) into 0 7.714 * [backup-simplify]: Simplify (+ 0 0) into 0 7.715 * [backup-simplify]: Simplify (- 0) into 0 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify (+ 1 0) into 1 7.716 * [backup-simplify]: Simplify (+ 0 1) into 1 7.716 * [backup-simplify]: Simplify (- 1) into -1 7.716 * [backup-simplify]: Simplify -1 into -1 7.716 * [backup-simplify]: Simplify (* 1 1) into 1 7.717 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.717 * [backup-simplify]: Simplify (+ 0 0) into 0 7.718 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.718 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.718 * [backup-simplify]: Simplify -1/2 into -1/2 7.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.720 * [backup-simplify]: Simplify (* 1 1) into 1 7.720 * [backup-simplify]: Simplify (* 1 1) into 1 7.721 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 7.721 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 7.722 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 7.722 * [backup-simplify]: Simplify (- 1/3) into -1/3 7.722 * [backup-simplify]: Simplify -1/3 into -1/3 7.723 * [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)))) 7.723 * * * [progress]: simplifying candidates 7.723 * * * * [progress]: [ 1 / 219 ] simplifiying candidate # 7.723 * * * * [progress]: [ 2 / 219 ] simplifiying candidate # 7.723 * * * * [progress]: [ 3 / 219 ] simplifiying candidate # 7.723 * * * * [progress]: [ 4 / 219 ] simplifiying candidate # 7.723 * * * * [progress]: [ 5 / 219 ] simplifiying candidate # 7.723 * * * * [progress]: [ 6 / 219 ] simplifiying candidate # 7.724 * * * * [progress]: [ 7 / 219 ] simplifiying candidate # 7.724 * * * * [progress]: [ 8 / 219 ] simplifiying candidate # 7.724 * * * * [progress]: [ 9 / 219 ] simplifiying candidate # 7.724 * * * * [progress]: [ 10 / 219 ] simplifiying candidate # 7.724 * * * * [progress]: [ 11 / 219 ] simplifiying candidate # 7.724 * * * * [progress]: [ 12 / 219 ] simplifiying candidate # 7.724 * * * * [progress]: [ 13 / 219 ] simplifiying candidate # 7.724 * * * * [progress]: [ 14 / 219 ] simplifiying candidate # 7.724 * * * * [progress]: [ 15 / 219 ] simplifiying candidate # 7.724 * * * * [progress]: [ 16 / 219 ] simplifiying candidate # 7.724 * * * * [progress]: [ 17 / 219 ] simplifiying candidate # 7.724 * * * * [progress]: [ 18 / 219 ] simplifiying candidate # 7.724 * * * * [progress]: [ 19 / 219 ] simplifiying candidate # 7.724 * * * * [progress]: [ 20 / 219 ] simplifiying candidate # 7.725 * * * * [progress]: [ 21 / 219 ] simplifiying candidate # 7.725 * * * * [progress]: [ 22 / 219 ] simplifiying candidate # 7.725 * * * * [progress]: [ 23 / 219 ] simplifiying candidate # 7.725 * * * * [progress]: [ 24 / 219 ] simplifiying candidate # 7.725 * * * * [progress]: [ 25 / 219 ] simplifiying candidate # 7.725 * * * * [progress]: [ 26 / 219 ] simplifiying candidate # 7.725 * * * * [progress]: [ 27 / 219 ] simplifiying candidate # 7.725 * * * * [progress]: [ 28 / 219 ] simplifiying candidate #real (real->posit16 (/ 1/3 N)))))))> 7.725 * * * * [progress]: [ 29 / 219 ] simplifiying candidate # 7.725 * * * * [progress]: [ 30 / 219 ] simplifiying candidate # 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N)))))))> 7.736 * * * * [progress]: [ 184 / 219 ] simplifiying candidate # 7.736 * * * * [progress]: [ 185 / 219 ] simplifiying candidate # 7.736 * * * * [progress]: [ 186 / 219 ] simplifiying candidate # 7.736 * * * * [progress]: [ 187 / 219 ] simplifiying candidate # 7.736 * * * * [progress]: [ 188 / 219 ] simplifiying candidate # 7.736 * * * * [progress]: [ 189 / 219 ] simplifiying candidate # 7.736 * * * * [progress]: [ 190 / 219 ] simplifiying candidate # 7.736 * * * * [progress]: [ 191 / 219 ] simplifiying candidate # 7.736 * * * * [progress]: [ 192 / 219 ] simplifiying candidate # 7.736 * * * * [progress]: [ 193 / 219 ] simplifiying candidate # 7.736 * * * * [progress]: [ 194 / 219 ] simplifiying candidate # 7.737 * * * * [progress]: [ 195 / 219 ] simplifiying candidate # 7.737 * * * * [progress]: [ 196 / 219 ] simplifiying candidate # 7.737 * * * * [progress]: [ 197 / 219 ] simplifiying candidate # 7.737 * * * * [progress]: [ 198 / 219 ] simplifiying candidate # 7.737 * * * * 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219 ] simplifiying candidate # 7.738 * * * * [progress]: [ 214 / 219 ] simplifiying candidate # 7.738 * * * * [progress]: [ 215 / 219 ] simplifiying candidate # 7.738 * * * * [progress]: [ 216 / 219 ] simplifiying candidate # 7.738 * * * * [progress]: [ 217 / 219 ] simplifiying candidate # 7.738 * * * * [progress]: [ 218 / 219 ] simplifiying candidate # 7.738 * * * * [progress]: [ 219 / 219 ] simplifiying candidate # 7.742 * [simplify]: Simplifying: (- (log 1/3) (log N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- 1/3) (- N) (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (/ 1 1) (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) (/ 1/3 1) (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 N)) (- -1 1) (- (- 1) 1) (- (- (log N)) (log N)) (- (- 0 (log N)) (log N)) (- (- (log 1) (log N)) (log N)) (- (log (/ 1 N)) (log N)) (log (/ (/ 1 N) N)) (exp (/ (/ 1 N) N)) (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* N N) N)) (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* N N) N)) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (cbrt (/ (/ 1 N) N)) (* (* (/ (/ 1 N) N) (/ (/ 1 N) N)) (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) (sqrt (/ (/ 1 N) N)) (- (/ 1 N)) (- N) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (sqrt N)) (/ (cbrt (/ 1 N)) (sqrt N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) 1) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) 1) (/ (sqrt (/ 1 N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (cbrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (cbrt 1) (cbrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) 1) (/ (/ (cbrt 1) (cbrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) (sqrt N)) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) (sqrt N)) (/ (/ (cbrt 1) (sqrt N)) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) 1) (/ (/ (cbrt 1) (sqrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt N) (cbrt N))) (/ (/ (cbrt 1) N) (cbrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt N)) (/ (/ (cbrt 1) N) (sqrt N)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1) (/ (/ (cbrt 1) N) N) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (cbrt N)) (cbrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ (sqrt 1) (cbrt N)) (sqrt N)) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) 1) (/ (/ (sqrt 1) (cbrt N)) N) (/ (/ (sqrt 1) (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) (sqrt N)) (cbrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (/ (/ (sqrt 1) (sqrt N)) 1) (/ (/ (sqrt 1) (sqrt N)) N) (/ (/ (sqrt 1) 1) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 1) N) (cbrt N)) (/ (/ (sqrt 1) 1) (sqrt N)) (/ (/ (sqrt 1) N) (sqrt N)) (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt 1) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) (sqrt N)) (/ (/ 1 (cbrt N)) (sqrt N)) (/ (/ 1 (* (cbrt N) (cbrt N))) 1) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) (sqrt N)) (/ (/ 1 (sqrt N)) 1) (/ (/ 1 (sqrt N)) N) (/ (/ 1 1) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ (/ 1 1) (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ (/ 1 1) 1) (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 1) (/ (/ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 1) (/ (/ 1 N) N) (/ 1 N) (/ N (/ 1 N)) (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ (/ 1 N) (sqrt N)) (/ (/ 1 N) 1) (/ N (cbrt (/ 1 N))) (/ N (sqrt (/ 1 N))) (/ N (/ (cbrt 1) (cbrt N))) (/ N (/ (cbrt 1) (sqrt N))) (/ N (/ (cbrt 1) N)) (/ N (/ (sqrt 1) (cbrt N))) (/ N (/ (sqrt 1) (sqrt N))) (/ N (/ (sqrt 1) N)) (/ N (/ 1 (cbrt N))) (/ N (/ 1 (sqrt N))) (/ N (/ 1 N)) (/ N (/ 1 N)) (/ N (/ 1 N)) (* N N) (real->posit16 (/ (/ 1 N) N)) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))) (+ (- (- (log N)) (log N)) (log (- 1/2 (/ 1/3 N)))) (+ (- (- 0 (log N)) (log N)) (log (- 1/2 (/ 1/3 N)))) (+ (- (- (log 1) (log N)) (log N)) (log (- 1/2 (/ 1/3 N)))) (+ (- (log (/ 1 N)) (log N)) (log (- 1/2 (/ 1/3 N)))) (+ (log (/ (/ 1 N) N)) (log (- 1/2 (/ 1/3 N)))) (log (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (exp (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (* (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* N N) N)) (* (* (- 1/2 (/ 1/3 N)) (- 1/2 (/ 1/3 N))) (- 1/2 (/ 1/3 N)))) (* (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* N N) N)) (* (* (- 1/2 (/ 1/3 N)) (- 1/2 (/ 1/3 N))) (- 1/2 (/ 1/3 N)))) (* (* (* (/ (/ 1 N) N) (/ (/ 1 N) N)) (/ (/ 1 N) N)) (* (* (- 1/2 (/ 1/3 N)) (- 1/2 (/ 1/3 N))) (- 1/2 (/ 1/3 N)))) (* (cbrt (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (cbrt (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))))) (cbrt (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (* (* (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (sqrt (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (sqrt (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (* (/ 1 N) (- (pow 1/2 3) (pow (/ 1/3 N) 3))) (* N (+ (* 1/2 1/2) (+ (* (/ 1/3 N) (/ 1/3 N)) (* 1/2 (/ 1/3 N))))) (* (/ 1 N) (- (* 1/2 1/2) (* (/ 1/3 N) (/ 1/3 N)))) (* N (+ 1/2 (/ 1/3 N))) (* (sqrt (/ (/ 1 N) N)) (sqrt (- 1/2 (/ 1/3 N)))) (* (sqrt (/ (/ 1 N) N)) (sqrt (- 1/2 (/ 1/3 N)))) (* (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (- 1/2 (/ 1/3 N)))) (* (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (- 1/2 (/ 1/3 N)))) (* (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (sqrt (- 1/2 (/ 1/3 N)))) (* (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (sqrt (- 1/2 (/ 1/3 N)))) (* (/ (/ 1 (sqrt N)) (sqrt N)) (sqrt (- 1/2 (/ 1/3 N)))) (* (/ (/ 1 (sqrt N)) (sqrt N)) (sqrt (- 1/2 (/ 1/3 N)))) (* (/ 1 N) (sqrt (- 1/2 (/ 1/3 N)))) (* (/ 1 N) (sqrt (- 1/2 (/ 1/3 N)))) (* (/ (/ 1 N) N) 1/2) (* (/ (/ 1 N) N) (- (/ 1/3 N))) (* (/ (/ 1 N) N) 1/2) (* (/ (/ 1 N) N) (- (/ 1/3 N))) (* 1/2 (/ (/ 1 N) N)) (* (- (/ 1/3 N)) (/ (/ 1 N) N)) (* 1/2 (/ (/ 1 N) N)) (* (- (/ 1/3 N)) (/ (/ 1 N) N)) (* (/ (/ 1 N) N) (* (cbrt (- 1/2 (/ 1/3 N))) (cbrt (- 1/2 (/ 1/3 N))))) (* (/ (/ 1 N) N) (sqrt (- 1/2 (/ 1/3 N)))) (* (/ (/ 1 N) N) 1) (* (/ (/ 1 N) N) (+ (sqrt 1/2) (sqrt (/ 1/3 N)))) (* (/ (/ 1 N) N) (+ (sqrt 1/2) (/ (sqrt 1/3) (sqrt N)))) (* (/ (/ 1 N) N) 1) (* (cbrt (/ (/ 1 N) N)) (- 1/2 (/ 1/3 N))) (* (sqrt (/ (/ 1 N) N)) (- 1/2 (/ 1/3 N))) (* (/ (cbrt (/ 1 N)) (cbrt N)) (- 1/2 (/ 1/3 N))) (* (/ (cbrt (/ 1 N)) (sqrt N)) (- 1/2 (/ 1/3 N))) (* (/ (cbrt (/ 1 N)) N) (- 1/2 (/ 1/3 N))) (* (/ (sqrt (/ 1 N)) (cbrt N)) (- 1/2 (/ 1/3 N))) (* (/ (sqrt (/ 1 N)) (sqrt N)) (- 1/2 (/ 1/3 N))) (* (/ (sqrt (/ 1 N)) N) (- 1/2 (/ 1/3 N))) (* (/ (/ (cbrt 1) (cbrt N)) (cbrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ (cbrt 1) (cbrt N)) (sqrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ (cbrt 1) (cbrt N)) N) (- 1/2 (/ 1/3 N))) (* (/ (/ (cbrt 1) (sqrt N)) (cbrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ (cbrt 1) (sqrt N)) (sqrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ (cbrt 1) (sqrt N)) N) (- 1/2 (/ 1/3 N))) (* (/ (/ (cbrt 1) N) (cbrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ (cbrt 1) N) (sqrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ (cbrt 1) N) N) (- 1/2 (/ 1/3 N))) (* (/ (/ (sqrt 1) (cbrt N)) (cbrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ (sqrt 1) (cbrt N)) (sqrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ (sqrt 1) (cbrt N)) N) (- 1/2 (/ 1/3 N))) (* (/ (/ (sqrt 1) (sqrt N)) (cbrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ (sqrt 1) (sqrt N)) (sqrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ (sqrt 1) (sqrt N)) N) (- 1/2 (/ 1/3 N))) (* (/ (/ (sqrt 1) N) (cbrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ (sqrt 1) N) (sqrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ (sqrt 1) N) N) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 (cbrt N)) (cbrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 (cbrt N)) (sqrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 (cbrt N)) N) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 (sqrt N)) (cbrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 (sqrt N)) (sqrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 (sqrt N)) N) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 N) (cbrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 N) (sqrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 N) (cbrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 N) (sqrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 N) (cbrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 N) (sqrt N)) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))) (* (/ 1 N) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 N) N) (- (pow 1/2 3) (pow (/ 1/3 N) 3))) (* (/ (/ 1 N) N) (- (* 1/2 1/2) (* (/ 1/3 N) (/ 1/3 N)))) (* (/ 1 N) (- 1/2 (/ 1/3 N))) (real->posit16 (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (/ (exp (/ 1 N)) (exp (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))))) (log (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))))) (exp (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))))) (* (cbrt (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))))) (cbrt (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))))) (cbrt (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))))) (* (* (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))))) (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))))) (sqrt (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))))) (sqrt (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))))) (- 1 (* (/ 1 N) (- 1/2 (/ 1/3 N)))) (- (* 1 (* N (+ (* 1/2 1/2) (+ (* (/ 1/3 N) (/ 1/3 N)) (* 1/2 (/ 1/3 N)))))) (* N (* (/ 1 N) (- (pow 1/2 3) (pow (/ 1/3 N) 3))))) (* N (* N (+ (* 1/2 1/2) (+ (* (/ 1/3 N) (/ 1/3 N)) (* 1/2 (/ 1/3 N)))))) (- (* 1 (* N (+ 1/2 (/ 1/3 N)))) (* N (* (/ 1 N) (- (* 1/2 1/2) (* (/ 1/3 N) (/ 1/3 N)))))) (* N (* N (+ 1/2 (/ 1/3 N)))) (- (* 1 (+ (* 1/2 1/2) (+ (* (/ 1/3 N) (/ 1/3 N)) (* 1/2 (/ 1/3 N))))) (* N (* (/ (/ 1 N) N) (- (pow 1/2 3) (pow (/ 1/3 N) 3))))) (* N (+ (* 1/2 1/2) (+ (* (/ 1/3 N) (/ 1/3 N)) (* 1/2 (/ 1/3 N))))) (- (* 1 (+ 1/2 (/ 1/3 N))) (* N (* (/ (/ 1 N) N) (- (* 1/2 1/2) (* (/ 1/3 N) (/ 1/3 N)))))) (* N (+ 1/2 (/ 1/3 N))) (- (* 1 N) (* N (* (/ 1 N) (- 1/2 (/ 1/3 N))))) (* N N) (- (pow (/ 1 N) 3) (pow (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))) 3)) (+ (* (/ 1 N) (/ 1 N)) (+ (* (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (* (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))))) (- (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (- (* (/ 1 N) (/ 1 N)) (* (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))))) (+ (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (- (/ 1 N) (* (/ (/ 1 N) N) 1/2)) (- (/ 1 N) (* (/ (/ 1 N) N) 1/2)) (- (/ 1 N) (* 1/2 (/ (/ 1 N) N))) (- (/ 1 N) (* 1/2 (/ (/ 1 N) N))) (- (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (real->posit16 (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N))))) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 7.745 * * [simplify]: iteration 0: 320 enodes 7.938 * * [simplify]: iteration 1: 891 enodes 8.364 * * [simplify]: iteration 2: 2916 enodes 9.256 * * [simplify]: iteration complete: 5003 enodes 9.256 * * [simplify]: Extracting #0: cost 135 inf + 0 9.258 * * [simplify]: Extracting #1: cost 985 inf + 45 9.264 * * [simplify]: Extracting #2: cost 1687 inf + 5252 9.303 * * [simplify]: Extracting #3: cost 987 inf + 120185 9.393 * * [simplify]: Extracting #4: cost 273 inf + 265363 9.477 * * [simplify]: Extracting #5: cost 12 inf + 333592 9.569 * * [simplify]: Extracting #6: cost 0 inf + 337267 9.649 * [simplify]: Simplified to: (log (/ 1/3 N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (* (/ 1/3 N) (* (/ 1/3 N) (/ 1/3 N))) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (/ 1/3 N) (* (/ 1/3 N) (/ 1/3 N))) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) -1/3 (- N) (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (* (/ (cbrt 1/3) (sqrt N)) (cbrt 1/3)) (/ (cbrt 1/3) (sqrt N)) (* (cbrt 1/3) (cbrt 1/3)) (/ (cbrt 1/3) N) (/ (/ (sqrt 1/3) (cbrt N)) (cbrt N)) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (sqrt 1/3) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) 1 (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ (/ 1/3 (cbrt N)) (cbrt N)) (/ 1/3 (sqrt N)) 1/3 (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 N)) -2 -2 (- (- (log N)) (log N)) (- (- (log N)) (log N)) (- (- (log N)) (log N)) (- (- (log N)) (log N)) (- (- (log N)) (log N)) (exp (/ 1 (* N N))) (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N))) (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N))) (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (cbrt (/ 1 (* N N))) (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N))) (fabs (/ 1 N)) (fabs (/ 1 N)) (/ -1 N) (- N) (* (/ (cbrt (/ 1 N)) (cbrt N)) (/ (cbrt (/ 1 N)) (cbrt N))) (/ (cbrt (/ 1 N)) (cbrt N)) (* (cbrt (/ 1 N)) (/ (cbrt (/ 1 N)) (sqrt N))) (/ (cbrt (/ 1 N)) (sqrt N)) (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (/ 1 N)) (cbrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (/ (sqrt (/ 1 N)) (sqrt N)) (sqrt (/ 1 N)) (/ (sqrt (/ 1 N)) N) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ 1 (* N (sqrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ 1 (* (cbrt N) N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ 1 (* N (sqrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ 1 (* (cbrt N) N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 (* (* (cbrt N) (cbrt N)) (* (cbrt N) (cbrt N)))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ (/ 1 (sqrt N)) (* (cbrt N) (cbrt N))) (/ (/ 1 (sqrt N)) (cbrt N)) (/ 1 N) (/ 1 N) (/ 1 (sqrt N)) (/ 1 (* N (sqrt N))) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt N)) N) 1 (/ 1 (* N N)) (/ 1 (* (cbrt N) (cbrt N))) (/ (/ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (/ 1 (sqrt 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N))) (* (cbrt (/ (+ (/ -1/3 N) 1/2) (* N N))) (cbrt (/ (+ (/ -1/3 N) 1/2) (* N N)))) (cbrt (/ (+ (/ -1/3 N) 1/2) (* N N))) (* (* (/ (+ (/ -1/3 N) 1/2) (* N N)) (/ (+ (/ -1/3 N) 1/2) (* N N))) (/ (+ (/ -1/3 N) 1/2) (* N N))) (sqrt (/ (+ (/ -1/3 N) 1/2) (* N N))) (sqrt (/ (+ (/ -1/3 N) 1/2) (* N N))) (/ (- 1/8 (* (/ 1/3 N) (* (/ 1/3 N) (/ 1/3 N)))) N) (* (+ 1/4 (* (/ 1/3 N) (+ 1/2 (/ 1/3 N)))) N) (/ (- 1/4 (* (/ 1/3 N) (/ 1/3 N))) N) (* (+ 1/2 (/ 1/3 N)) N) (* (sqrt (+ (/ -1/3 N) 1/2)) (fabs (/ 1 N))) (* (sqrt (+ (/ -1/3 N) 1/2)) (fabs (/ 1 N))) (/ (* (sqrt (/ 1 N)) (sqrt (+ (/ -1/3 N) 1/2))) (sqrt N)) (/ (* (sqrt (/ 1 N)) (sqrt (+ (/ -1/3 N) 1/2))) (sqrt N)) (/ (sqrt (+ (/ -1/3 N) 1/2)) N) (/ (sqrt (+ (/ -1/3 N) 1/2)) N) (/ (sqrt (+ (/ -1/3 N) 1/2)) N) (/ (sqrt (+ (/ -1/3 N) 1/2)) N) (/ (sqrt (+ (/ -1/3 N) 1/2)) N) (/ (sqrt (+ (/ -1/3 N) 1/2)) N) (/ 1/2 (* N N)) (/ (/ -1/3 N) (* N N)) (/ 1/2 (* N N)) (/ (/ -1/3 N) (* N N)) (/ 1/2 (* N N)) (/ (/ -1/3 N) (* N N)) (/ 1/2 (* N N)) (/ (/ -1/3 N) (* N N)) (/ (* (cbrt (+ (/ -1/3 N) 1/2)) (cbrt (+ (/ -1/3 N) 1/2))) (* N N)) (/ (sqrt (+ (/ -1/3 N) 1/2)) (* N N)) (/ 1 (* N N)) (/ (+ (sqrt (/ 1/3 N)) (sqrt 1/2)) (* N N)) (/ (+ (sqrt 1/2) (/ (sqrt 1/3) (sqrt N))) (* N N)) (/ 1 (* N N)) (* (cbrt (/ 1 (* N N))) (+ (/ -1/3 N) 1/2)) (* (fabs (/ 1 N)) (+ (/ -1/3 N) 1/2)) (/ (cbrt (/ 1 N)) (/ (cbrt N) (+ (/ -1/3 N) 1/2))) (* (/ (+ (/ -1/3 N) 1/2) (sqrt N)) (cbrt (/ 1 N))) (/ (* (+ (/ -1/3 N) 1/2) (cbrt (/ 1 N))) N) (/ (* (sqrt (/ 1 N)) (+ (/ -1/3 N) 1/2)) (cbrt N)) (/ (sqrt (/ 1 N)) (/ (sqrt N) (+ (/ -1/3 N) 1/2))) (/ (sqrt (/ 1 N)) (/ N (+ (/ -1/3 N) 1/2))) (/ (/ (+ (/ -1/3 N) 1/2) (cbrt N)) (cbrt N)) (/ (+ (/ -1/3 N) 1/2) (* (cbrt N) (sqrt N))) (/ (+ (/ -1/3 N) 1/2) (* N (cbrt N))) (/ (+ (/ -1/3 N) 1/2) (* (sqrt N) (cbrt N))) (/ (+ (/ -1/3 N) 1/2) N) (/ (+ (/ -1/3 N) 1/2) (* N (sqrt N))) (/ (+ (/ -1/3 N) 1/2) (* (cbrt N) N)) (/ (/ (+ (/ -1/3 N) 1/2) N) (sqrt N)) (/ (+ (/ -1/3 N) 1/2) (* N N)) (/ (/ (+ (/ -1/3 N) 1/2) (cbrt N)) 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N) (/ 1/3 N))) (* N N)) (/ (+ (/ -1/3 N) 1/2) N) (real->posit16 (/ (+ (/ -1/3 N) 1/2) (* N N))) (exp (- (/ 1 N) (/ (+ (/ -1/3 N) 1/2) (* N N)))) (log (- (/ 1 N) (/ (+ (/ -1/3 N) 1/2) (* N N)))) (exp (- (/ 1 N) (/ (+ (/ -1/3 N) 1/2) (* N N)))) (* (cbrt (- (/ 1 N) (/ (+ (/ -1/3 N) 1/2) (* N N)))) (cbrt (- (/ 1 N) (/ (+ (/ -1/3 N) 1/2) (* N N))))) (cbrt (- (/ 1 N) (/ (+ (/ -1/3 N) 1/2) (* N N)))) (* (* (- (/ 1 N) (/ (+ (/ -1/3 N) 1/2) (* N N))) (- (/ 1 N) (/ (+ (/ -1/3 N) 1/2) (* N N)))) (- (/ 1 N) (/ (+ (/ -1/3 N) 1/2) (* N N)))) (sqrt (- (/ 1 N) (/ (+ (/ -1/3 N) 1/2) (* N N)))) (sqrt (- (/ 1 N) (/ (+ (/ -1/3 N) 1/2) (* N N)))) (- 1 (/ (+ (/ -1/3 N) 1/2) N)) (- (* (+ 1/4 (* (/ 1/3 N) (+ 1/2 (/ 1/3 N)))) N) (* (/ (- 1/8 (* (/ 1/3 N) (* (/ 1/3 N) (/ 1/3 N)))) N) N)) (* N (* N (+ 1/4 (* (/ 1/3 N) (+ 1/2 (/ 1/3 N)))))) (- (* (+ 1/2 (/ 1/3 N)) N) (/ (* N (- 1/4 (* (/ 1/3 N) (/ 1/3 N)))) N)) (* N (* (+ 1/2 (/ 1/3 N)) N)) (- (+ 1/4 (* (/ 1/3 N) (+ 1/2 (/ 1/3 N)))) (* (/ N (* N N)) (- 1/8 (* (/ 1/3 N) (* (/ 1/3 N) (/ 1/3 N)))))) (* (+ 1/4 (* (/ 1/3 N) (+ 1/2 (/ 1/3 N)))) N) (- (+ 1/2 (/ 1/3 N)) (* (/ N (* N N)) (- 1/4 (* (/ 1/3 N) (/ 1/3 N))))) (* (+ 1/2 (/ 1/3 N)) N) (- N (* N (/ (+ (/ -1/3 N) 1/2) N))) (* N N) (- (/ (/ 1 N) (* N N)) (* (* (/ (+ (/ -1/3 N) 1/2) (* N N)) (/ (+ (/ -1/3 N) 1/2) (* N N))) (/ (+ (/ -1/3 N) 1/2) (* N N)))) (+ (+ (/ (/ (+ (/ -1/3 N) 1/2) (* N N)) N) (* (/ (+ (/ -1/3 N) 1/2) (* N N)) (/ (+ (/ -1/3 N) 1/2) (* N N)))) (/ 1 (* N N))) (/ (+ -1/2 (/ 1/3 N)) (* N N)) (- (/ 1 (* N N)) (* (/ (+ (/ -1/3 N) 1/2) (* N N)) (/ (+ (/ -1/3 N) 1/2) (* N N)))) (+ (/ 1 N) (/ (+ (/ -1/3 N) 1/2) (* N N))) (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))) (/ (+ -1/2 (/ 1/3 N)) (* N N)) (real->posit16 (- (/ 1 N) (/ (+ (/ -1/3 N) 1/2) (* N N)))) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ (+ (/ -1/3 N) 1/2) (* N N)) (/ (+ (/ -1/3 N) 1/2) (* N N)) (/ (+ (/ -1/3 N) 1/2) (* N N)) (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))) (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))) (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))) 9.665 * * * [progress]: adding candidates to table 10.394 * [progress]: [Phase 3 of 3] Extracting. 10.394 * * [regime]: Finding splitpoints for: (# # #) 10.394 * * * [regime-changes]: Trying 1 branch expressions: (N) 10.394 * * * * [regimes]: Trying to branch on N from (# # #) 10.430 * * * [regime]: Found split indices: #