17.959 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.109 * * * [progress]: [2/2] Setting up program. 0.111 * [progress]: [Phase 2 of 3] Improving. 0.111 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.111 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.111 * * [simplify]: iteration 0: 6 enodes 0.112 * * [simplify]: iteration 1: 11 enodes 0.114 * * [simplify]: iteration 2: 12 enodes 0.115 * * [simplify]: iteration complete: 12 enodes 0.115 * * [simplify]: Extracting #0: cost 1 inf + 0 0.115 * * [simplify]: Extracting #1: cost 4 inf + 0 0.115 * * [simplify]: Extracting #2: cost 6 inf + 0 0.115 * * [simplify]: Extracting #3: cost 4 inf + 183 0.115 * * [simplify]: Extracting #4: cost 0 inf + 560 0.115 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.116 * * [progress]: iteration 1 / 4 0.116 * * * [progress]: picking best candidate 0.118 * * * * [pick]: Picked # 0.118 * * * [progress]: localizing error 0.142 * * * [progress]: generating rewritten candidates 0.142 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.146 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.154 * * * [progress]: generating series expansions 0.155 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.155 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.155 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.155 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.155 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.155 * [taylor]: Taking taylor expansion of N in N 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [taylor]: Taking taylor expansion of 1 in N 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (+ 0 1) into 1 0.156 * [backup-simplify]: Simplify (log 1) into 0 0.156 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.156 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.156 * [taylor]: Taking taylor expansion of N in N 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [taylor]: Taking taylor expansion of 1 in N 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (+ 0 1) into 1 0.156 * [backup-simplify]: Simplify (log 1) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ 1 0) into 1 0.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.160 * [backup-simplify]: Simplify -1/2 into -1/2 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [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 0.163 * [backup-simplify]: Simplify 1/3 into 1/3 0.164 * [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))) 0.164 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.164 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.164 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of 1 in N 0.164 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.165 * [backup-simplify]: Simplify (log 1) into 0 0.165 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [taylor]: Taking taylor expansion of 1 in N 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (+ 1 0) into 1 0.166 * [backup-simplify]: Simplify (log 1) into 0 0.166 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.166 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ 0 1) into 1 0.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.174 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.174 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.174 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.174 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.174 * [taylor]: Taking taylor expansion of 1 in N 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify (- 1) into -1 0.175 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.176 * [backup-simplify]: Simplify (log -1) into (log -1) 0.176 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.176 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.176 * [taylor]: Taking taylor expansion of 1 in N 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [backup-simplify]: Simplify (- 1) into -1 0.177 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.178 * [backup-simplify]: Simplify (log -1) into (log -1) 0.179 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.179 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.182 * [backup-simplify]: Simplify -1 into -1 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.185 * [backup-simplify]: Simplify -1/2 into -1/2 0.186 * [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)))) 0.186 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.186 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.186 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.186 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.186 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.186 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of 1 in N 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (+ 0 1) into 1 0.186 * [backup-simplify]: Simplify (log 1) into 0 0.186 * [taylor]: Taking taylor expansion of (log N) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (log 1) into 0 0.187 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.187 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.187 * [taylor]: Taking taylor expansion of (+ N 1) 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 * [taylor]: Taking taylor expansion of 1 in N 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (+ 0 1) into 1 0.187 * [backup-simplify]: Simplify (log 1) into 0 0.187 * [taylor]: Taking taylor expansion of (log 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 0.188 * [backup-simplify]: Simplify (log 1) into 0 0.188 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.188 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.188 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.188 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.188 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.190 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify (+ 1 0) into 1 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.195 * [backup-simplify]: Simplify -1/2 into -1/2 0.195 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.195 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.195 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.195 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.195 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.195 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [taylor]: Taking taylor expansion of 1 in N 0.195 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (+ 1 0) into 1 0.196 * [backup-simplify]: Simplify (log 1) into 0 0.196 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [backup-simplify]: Simplify (log 1) into 0 0.197 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.197 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.197 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [taylor]: Taking taylor expansion of 1 in N 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (+ 1 0) into 1 0.198 * [backup-simplify]: Simplify (log 1) into 0 0.198 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [backup-simplify]: Simplify (log 1) into 0 0.198 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.199 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.199 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.199 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 1) into 1 0.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.202 * [backup-simplify]: Simplify (+ 1 0) into 1 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.207 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.208 * [backup-simplify]: Simplify -1/2 into -1/2 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [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 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [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 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.219 * [backup-simplify]: Simplify 1/3 into 1/3 0.219 * [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)))) 0.219 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.219 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.219 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.219 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.219 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.219 * [taylor]: Taking taylor expansion of 1 in N 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [backup-simplify]: Simplify (- 1) into -1 0.220 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.221 * [backup-simplify]: Simplify (log -1) into (log -1) 0.221 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.221 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.221 * [taylor]: Taking taylor expansion of -1 in N 0.221 * [backup-simplify]: Simplify -1 into -1 0.221 * [taylor]: Taking taylor expansion of N in N 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ -1 1) into -1 0.221 * [backup-simplify]: Simplify (log -1) into (log -1) 0.221 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.221 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.221 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.221 * [taylor]: Taking taylor expansion of 1 in N 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.221 * [taylor]: Taking taylor expansion of N in N 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [backup-simplify]: Simplify (- 1) into -1 0.222 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.222 * [backup-simplify]: Simplify (log -1) into (log -1) 0.222 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.223 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.223 * [taylor]: Taking taylor expansion of -1 in N 0.223 * [backup-simplify]: Simplify -1 into -1 0.223 * [taylor]: Taking taylor expansion of N in N 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ -1 1) into -1 0.223 * [backup-simplify]: Simplify (log -1) into (log -1) 0.224 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.224 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.225 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.225 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 1 0) into 1 0.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ -1 0) into -1 0.233 * [backup-simplify]: Simplify -1 into -1 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.239 * [backup-simplify]: Simplify -1/2 into -1/2 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 0.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [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 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.251 * [backup-simplify]: Simplify -1/3 into -1/3 0.251 * [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)))) 0.251 * * * [progress]: simplifying candidates 0.252 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.252 * * * * [progress]: [ 16 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.252 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 27 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.253 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.254 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.254 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.254 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.254 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.254 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.254 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.254 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.254 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.254 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.254 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.254 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.254 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.254 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.254 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.254 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.255 * [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)))) 0.257 * * [simplify]: iteration 0: 97 enodes 0.281 * * [simplify]: iteration 1: 200 enodes 0.361 * * [simplify]: iteration 2: 452 enodes 0.586 * * [simplify]: iteration 3: 1329 enodes 0.906 * * [simplify]: iteration complete: 2004 enodes 0.906 * * [simplify]: Extracting #0: cost 42 inf + 0 0.907 * * [simplify]: Extracting #1: cost 193 inf + 1 0.910 * * [simplify]: Extracting #2: cost 444 inf + 2095 0.928 * * [simplify]: Extracting #3: cost 336 inf + 37987 0.949 * * [simplify]: Extracting #4: cost 115 inf + 91733 0.971 * * [simplify]: Extracting #5: cost 49 inf + 114103 0.994 * * [simplify]: Extracting #6: cost 10 inf + 120200 1.021 * * [simplify]: Extracting #7: cost 0 inf + 123080 1.040 * [simplify]: Simplified to: (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (+ 1 N)) 0 (log (+ 1 N)) (log (+ (* (* N N) N) 1)) (log (+ (- 1 N) (* N N))) (log (- (* N N) 1)) (log (- N 1)) (log (+ 1 N)) (log (log (+ 1 N))) (+ 1 N) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (log (+ 1 N))) (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N))) (real->posit16 (log (+ 1 N))) (/ (+ 1 N) N) (log (- (log (+ 1 N)) (log N))) (/ (+ 1 N) N) (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) (cbrt (- (log (+ 1 N)) (log N))) (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (- (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (* (log N) (* (log N) (log N)))) (+ (* (log N) (+ (log (+ 1 N)) (log N))) (* (log (+ 1 N)) (log (+ 1 N)))) (- (log N)) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (+ (log N) (log (+ 1 N))) (+ (sqrt (log (+ 1 N))) (sqrt (log N))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (- (log (+ 1 N)) (log (cbrt N))) (log (cbrt N))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (+ (- 1 N) (* N N))) (log N)) (+ (log N) (log (- N 1))) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (+ (* (* N N) (- (* N 1/3) 1/2)) N) (- (+ (/ 1 N) (log N)) (* (/ 1/2 N) (/ 1 N))) (- (+ (/ 1 N) (+ 0 (log N))) (* (/ 1/2 N) (/ 1 N))) (- (- N (log N)) (* (* 1/2 N) N)) (+ (/ 1/3 (* (* N N) N)) (+ (/ 1 N) (/ -1/2 (* N N)))) (+ (/ 1/3 (* (* N N) N)) (+ (/ 1 N) (/ -1/2 (* N N)))) 1.042 * * * [progress]: adding candidates to table 1.688 * * [progress]: iteration 2 / 4 1.688 * * * [progress]: picking best candidate 1.699 * * * * [pick]: Picked # 1.699 * * * [progress]: localizing error 1.738 * * * [progress]: generating rewritten candidates 1.739 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.747 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 1.751 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.754 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.767 * * * [progress]: generating series expansions 1.767 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.767 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 1.767 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1.767 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.767 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.767 * [taylor]: Taking taylor expansion of N in N 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [taylor]: Taking taylor expansion of 1 in N 1.767 * [backup-simplify]: Simplify 1 into 1 1.768 * [backup-simplify]: Simplify (+ 0 1) into 1 1.768 * [backup-simplify]: Simplify (log 1) into 0 1.768 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.768 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.769 * [taylor]: Taking taylor expansion of N in N 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 1 into 1 1.769 * [taylor]: Taking taylor expansion of 1 in N 1.769 * [backup-simplify]: Simplify 1 into 1 1.769 * [backup-simplify]: Simplify (+ 0 1) into 1 1.769 * [backup-simplify]: Simplify (log 1) into 0 1.769 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify (+ 1 0) into 1 1.772 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.772 * [backup-simplify]: Simplify 1 into 1 1.772 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.774 * [backup-simplify]: Simplify -1/2 into -1/2 1.775 * [backup-simplify]: Simplify (+ 0 0) into 0 1.778 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1.778 * [backup-simplify]: Simplify 1/3 into 1/3 1.778 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1.778 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 1.778 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1.778 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.778 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.778 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.778 * [taylor]: Taking taylor expansion of N in N 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (/ 1 1) into 1 1.778 * [taylor]: Taking taylor expansion of 1 in N 1.778 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (+ 1 0) into 1 1.779 * [backup-simplify]: Simplify (log 1) into 0 1.779 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.779 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.779 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.779 * [taylor]: Taking taylor expansion of N in N 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (/ 1 1) into 1 1.779 * [taylor]: Taking taylor expansion of 1 in N 1.779 * [backup-simplify]: Simplify 1 into 1 1.780 * [backup-simplify]: Simplify (+ 1 0) into 1 1.780 * [backup-simplify]: Simplify (log 1) into 0 1.780 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.780 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (+ 0 1) into 1 1.782 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.782 * [backup-simplify]: Simplify 1 into 1 1.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.783 * [backup-simplify]: Simplify (+ 0 0) into 0 1.784 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.784 * [backup-simplify]: Simplify -1/2 into -1/2 1.785 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 1.785 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 1.785 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1.785 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.785 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.785 * [taylor]: Taking taylor expansion of 1 in N 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.785 * [taylor]: Taking taylor expansion of N in N 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify (/ 1 1) into 1 1.785 * [backup-simplify]: Simplify (- 1) into -1 1.786 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.786 * [backup-simplify]: Simplify (log -1) into (log -1) 1.786 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.786 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.786 * [taylor]: Taking taylor expansion of 1 in N 1.786 * [backup-simplify]: Simplify 1 into 1 1.786 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.786 * [taylor]: Taking taylor expansion of N in N 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify 1 into 1 1.786 * [backup-simplify]: Simplify (/ 1 1) into 1 1.786 * [backup-simplify]: Simplify (- 1) into -1 1.787 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.787 * [backup-simplify]: Simplify (log -1) into (log -1) 1.788 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.788 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.789 * [backup-simplify]: Simplify (- 0) into 0 1.789 * [backup-simplify]: Simplify (+ 1 0) into 1 1.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.790 * [backup-simplify]: Simplify -1 into -1 1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (- 0) into 0 1.791 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.792 * [backup-simplify]: Simplify -1/2 into -1/2 1.793 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 1.793 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 1.793 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 1.793 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1.793 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.793 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.793 * [taylor]: Taking taylor expansion of N in N 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 1 into 1 1.793 * [taylor]: Taking taylor expansion of 1 in N 1.793 * [backup-simplify]: Simplify 1 into 1 1.793 * [backup-simplify]: Simplify (+ 0 1) into 1 1.794 * [backup-simplify]: Simplify (log 1) into 0 1.794 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.794 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.794 * [taylor]: Taking taylor expansion of N in N 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [taylor]: Taking taylor expansion of 1 in N 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [backup-simplify]: Simplify (+ 0 1) into 1 1.794 * [backup-simplify]: Simplify (log 1) into 0 1.794 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify (+ 1 0) into 1 1.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.795 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (+ 0 0) into 0 1.797 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.797 * [backup-simplify]: Simplify -1/2 into -1/2 1.797 * [backup-simplify]: Simplify (+ 0 0) into 0 1.800 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1.800 * [backup-simplify]: Simplify 1/3 into 1/3 1.800 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1.801 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 1.801 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1.801 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.801 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.801 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.801 * [taylor]: Taking taylor expansion of N in N 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify 1 into 1 1.801 * [backup-simplify]: Simplify (/ 1 1) into 1 1.801 * [taylor]: Taking taylor expansion of 1 in N 1.801 * [backup-simplify]: Simplify 1 into 1 1.801 * [backup-simplify]: Simplify (+ 1 0) into 1 1.802 * [backup-simplify]: Simplify (log 1) into 0 1.802 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.802 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.802 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.802 * [taylor]: Taking taylor expansion of N in N 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify (/ 1 1) into 1 1.802 * [taylor]: Taking taylor expansion of 1 in N 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify (+ 1 0) into 1 1.802 * [backup-simplify]: Simplify (log 1) into 0 1.803 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.803 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.804 * [backup-simplify]: Simplify (+ 0 1) into 1 1.805 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.805 * [backup-simplify]: Simplify 1 into 1 1.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.810 * [backup-simplify]: Simplify -1/2 into -1/2 1.810 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 1.811 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 1.811 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1.811 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.811 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.811 * [taylor]: Taking taylor expansion of 1 in N 1.811 * [backup-simplify]: Simplify 1 into 1 1.811 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.811 * [taylor]: Taking taylor expansion of N in N 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.811 * [backup-simplify]: Simplify (/ 1 1) into 1 1.812 * [backup-simplify]: Simplify (- 1) into -1 1.813 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.813 * [backup-simplify]: Simplify (log -1) into (log -1) 1.813 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.813 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.813 * [taylor]: Taking taylor expansion of 1 in N 1.813 * [backup-simplify]: Simplify 1 into 1 1.813 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.813 * [taylor]: Taking taylor expansion of N in N 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify 1 into 1 1.814 * [backup-simplify]: Simplify (/ 1 1) into 1 1.814 * [backup-simplify]: Simplify (- 1) into -1 1.815 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.815 * [backup-simplify]: Simplify (log -1) into (log -1) 1.816 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.817 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.818 * [backup-simplify]: Simplify (- 0) into 0 1.819 * [backup-simplify]: Simplify (+ 1 0) into 1 1.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.820 * [backup-simplify]: Simplify -1 into -1 1.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (- 0) into 0 1.822 * [backup-simplify]: Simplify (+ 0 0) into 0 1.825 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.825 * [backup-simplify]: Simplify -1/2 into -1/2 1.826 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 1.826 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.826 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 1.826 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1.826 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.826 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.826 * [taylor]: Taking taylor expansion of N in N 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 1 into 1 1.827 * [taylor]: Taking taylor expansion of 1 in N 1.827 * [backup-simplify]: Simplify 1 into 1 1.827 * [backup-simplify]: Simplify (+ 0 1) into 1 1.828 * [backup-simplify]: Simplify (log 1) into 0 1.828 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.828 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.828 * [taylor]: Taking taylor expansion of N in N 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.828 * [taylor]: Taking taylor expansion of 1 in N 1.828 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (+ 0 1) into 1 1.829 * [backup-simplify]: Simplify (log 1) into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify (+ 1 0) into 1 1.831 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.831 * [backup-simplify]: Simplify 1 into 1 1.831 * [backup-simplify]: Simplify (+ 0 0) into 0 1.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.834 * [backup-simplify]: Simplify -1/2 into -1/2 1.835 * [backup-simplify]: Simplify (+ 0 0) into 0 1.840 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1.841 * [backup-simplify]: Simplify 1/3 into 1/3 1.841 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1.841 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 1.841 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1.841 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.841 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.841 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.841 * [taylor]: Taking taylor expansion of N in N 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.842 * [backup-simplify]: Simplify (/ 1 1) into 1 1.842 * [taylor]: Taking taylor expansion of 1 in N 1.842 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (+ 1 0) into 1 1.843 * [backup-simplify]: Simplify (log 1) into 0 1.843 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.843 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.843 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.843 * [taylor]: Taking taylor expansion of N in N 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.844 * [backup-simplify]: Simplify (/ 1 1) into 1 1.844 * [taylor]: Taking taylor expansion of 1 in N 1.844 * [backup-simplify]: Simplify 1 into 1 1.844 * [backup-simplify]: Simplify (+ 1 0) into 1 1.845 * [backup-simplify]: Simplify (log 1) into 0 1.846 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.846 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.848 * [backup-simplify]: Simplify (+ 0 1) into 1 1.850 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.850 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.855 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.855 * [backup-simplify]: Simplify -1/2 into -1/2 1.855 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 1.856 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 1.856 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1.856 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.856 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.856 * [taylor]: Taking taylor expansion of 1 in N 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.856 * [taylor]: Taking taylor expansion of N in N 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (/ 1 1) into 1 1.857 * [backup-simplify]: Simplify (- 1) into -1 1.857 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.858 * [backup-simplify]: Simplify (log -1) into (log -1) 1.858 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.858 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.858 * [taylor]: Taking taylor expansion of 1 in N 1.858 * [backup-simplify]: Simplify 1 into 1 1.858 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.858 * [taylor]: Taking taylor expansion of N in N 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (/ 1 1) into 1 1.859 * [backup-simplify]: Simplify (- 1) into -1 1.862 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.863 * [backup-simplify]: Simplify (log -1) into (log -1) 1.864 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.865 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 1.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.866 * [backup-simplify]: Simplify (- 0) into 0 1.866 * [backup-simplify]: Simplify (+ 1 0) into 1 1.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.868 * [backup-simplify]: Simplify -1 into -1 1.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.869 * [backup-simplify]: Simplify (- 0) into 0 1.870 * [backup-simplify]: Simplify (+ 0 0) into 0 1.872 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.872 * [backup-simplify]: Simplify -1/2 into -1/2 1.873 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 1.873 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.873 * [backup-simplify]: Simplify (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N)) into (- (log (+ N 1)) (log N)) 1.873 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 1.873 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1.873 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.873 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.873 * [taylor]: Taking taylor expansion of N in N 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [taylor]: Taking taylor expansion of 1 in N 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify (+ 0 1) into 1 1.874 * [backup-simplify]: Simplify (log 1) into 0 1.874 * [taylor]: Taking taylor expansion of (log N) in N 1.874 * [taylor]: Taking taylor expansion of N in N 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [backup-simplify]: Simplify (log 1) into 0 1.874 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1.874 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.874 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.874 * [taylor]: Taking taylor expansion of N in N 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [taylor]: Taking taylor expansion of 1 in N 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [backup-simplify]: Simplify (+ 0 1) into 1 1.875 * [backup-simplify]: Simplify (log 1) into 0 1.875 * [taylor]: Taking taylor expansion of (log N) in N 1.875 * [taylor]: Taking taylor expansion of N in N 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify (log 1) into 0 1.875 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.876 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.876 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 1.876 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.876 * [backup-simplify]: Simplify (+ 1 0) into 1 1.877 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.878 * [backup-simplify]: Simplify (- 0) into 0 1.878 * [backup-simplify]: Simplify (+ 1 0) into 1 1.878 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (+ 0 0) into 0 1.880 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.882 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.882 * [backup-simplify]: Simplify (- 0) into 0 1.882 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.882 * [backup-simplify]: Simplify -1/2 into -1/2 1.883 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1.883 * [backup-simplify]: Simplify (- (cbrt (* (* (log (+ (/ 1 N) 1)) (log (+ (/ 1 N) 1))) (log (+ (/ 1 N) 1)))) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 1.883 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 1.883 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1.883 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.883 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.883 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.883 * [taylor]: Taking taylor expansion of N in N 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ 1 1) into 1 1.883 * [taylor]: Taking taylor expansion of 1 in N 1.883 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (+ 1 0) into 1 1.884 * [backup-simplify]: Simplify (log 1) into 0 1.884 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.884 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.884 * [taylor]: Taking taylor expansion of N in N 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (/ 1 1) into 1 1.884 * [backup-simplify]: Simplify (log 1) into 0 1.884 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1.884 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.884 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.885 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.885 * [taylor]: Taking taylor expansion of N in N 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify (/ 1 1) into 1 1.885 * [taylor]: Taking taylor expansion of 1 in N 1.885 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify (+ 1 0) into 1 1.885 * [backup-simplify]: Simplify (log 1) into 0 1.885 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.885 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.885 * [taylor]: Taking taylor expansion of N in N 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 1 into 1 1.886 * [backup-simplify]: Simplify (/ 1 1) into 1 1.886 * [backup-simplify]: Simplify (log 1) into 0 1.886 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.887 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.887 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 1.887 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.887 * [backup-simplify]: Simplify (+ 0 1) into 1 1.888 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.890 * [backup-simplify]: Simplify (- 0) into 0 1.890 * [backup-simplify]: Simplify (+ 1 0) into 1 1.890 * [backup-simplify]: Simplify 1 into 1 1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.895 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.895 * [backup-simplify]: Simplify (- 0) into 0 1.895 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.895 * [backup-simplify]: Simplify -1/2 into -1/2 1.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.906 * [backup-simplify]: Simplify (- 0) into 0 1.906 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 1.907 * [backup-simplify]: Simplify 1/3 into 1/3 1.907 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1.907 * [backup-simplify]: Simplify (- (cbrt (* (* (log (+ (/ 1 (- N)) 1)) (log (+ (/ 1 (- N)) 1))) (log (+ (/ 1 (- N)) 1)))) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 1.907 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 1.907 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1.907 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.907 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.908 * [taylor]: Taking taylor expansion of 1 in N 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.908 * [taylor]: Taking taylor expansion of N in N 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [backup-simplify]: Simplify (/ 1 1) into 1 1.909 * [backup-simplify]: Simplify (- 1) into -1 1.909 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.910 * [backup-simplify]: Simplify (log -1) into (log -1) 1.910 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.910 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.910 * [taylor]: Taking taylor expansion of -1 in N 1.910 * [backup-simplify]: Simplify -1 into -1 1.910 * [taylor]: Taking taylor expansion of N in N 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.910 * [backup-simplify]: Simplify (/ -1 1) into -1 1.911 * [backup-simplify]: Simplify (log -1) into (log -1) 1.911 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1.911 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.911 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.911 * [taylor]: Taking taylor expansion of 1 in N 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.911 * [taylor]: Taking taylor expansion of N in N 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (/ 1 1) into 1 1.912 * [backup-simplify]: Simplify (- 1) into -1 1.912 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.913 * [backup-simplify]: Simplify (log -1) into (log -1) 1.913 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.913 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.913 * [taylor]: Taking taylor expansion of -1 in N 1.913 * [backup-simplify]: Simplify -1 into -1 1.913 * [taylor]: Taking taylor expansion of N in N 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (/ -1 1) into -1 1.914 * [backup-simplify]: Simplify (log -1) into (log -1) 1.915 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.916 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.916 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1.917 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.919 * [backup-simplify]: Simplify (- 0) into 0 1.919 * [backup-simplify]: Simplify (+ 1 0) into 1 1.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1.923 * [backup-simplify]: Simplify (- 0) into 0 1.924 * [backup-simplify]: Simplify (+ -1 0) into -1 1.924 * [backup-simplify]: Simplify -1 into -1 1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify (- 0) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.927 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.929 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1.929 * [backup-simplify]: Simplify (- 0) into 0 1.930 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.930 * [backup-simplify]: Simplify -1/2 into -1/2 1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (- 0) into 0 1.931 * [backup-simplify]: Simplify (+ 0 0) into 0 1.934 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 1.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 1.938 * [backup-simplify]: Simplify (- 0) into 0 1.939 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 1.939 * [backup-simplify]: Simplify -1/3 into -1/3 1.939 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1.939 * * * [progress]: simplifying candidates 1.939 * * * * [progress]: [ 1 / 79 ] simplifiying candidate # 1.939 * * * * [progress]: [ 2 / 79 ] simplifiying candidate # 1.939 * * * * [progress]: [ 3 / 79 ] simplifiying candidate # 1.939 * * * * [progress]: [ 4 / 79 ] simplifiying candidate # 1.939 * * * * [progress]: [ 5 / 79 ] simplifiying candidate # 1.939 * * * * [progress]: [ 6 / 79 ] simplifiying candidate # 1.939 * * * * [progress]: [ 7 / 79 ] simplifiying candidate # 1.939 * * * * [progress]: [ 8 / 79 ] simplifiying candidate # 1.939 * * * * [progress]: [ 9 / 79 ] simplifiying candidate # 1.939 * * * * [progress]: [ 10 / 79 ] simplifiying candidate # 1.939 * * * * [progress]: [ 11 / 79 ] simplifiying candidate # 1.939 * * * * [progress]: [ 12 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 13 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 14 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 15 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 16 / 79 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))))) (log N)))> 1.940 * * * * [progress]: [ 17 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 18 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 19 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 20 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 21 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 22 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 23 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 24 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 25 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 26 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 27 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 28 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 29 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 30 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 31 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 32 / 79 ] simplifiying candidate #real (real->posit16 (log (+ N 1))))) (log (+ N 1)))) (log N)))> 1.940 * * * * [progress]: [ 33 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 34 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 35 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 36 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 37 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 38 / 79 ] simplifiying candidate # 1.940 * * * * [progress]: [ 39 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 40 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 41 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 42 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 43 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 44 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 45 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 46 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 47 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 48 / 79 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log (+ N 1))) (log (+ N 1)))) (log N)))> 1.941 * * * * [progress]: [ 49 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 50 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 51 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 52 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 53 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 54 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 55 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 56 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 57 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 58 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 59 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 60 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 61 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 62 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 63 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 64 / 79 ] simplifiying candidate # 1.941 * * * * [progress]: [ 65 / 79 ] simplifiying candidate # 1.942 * * * * [progress]: [ 66 / 79 ] simplifiying candidate # 1.942 * * * * [progress]: [ 67 / 79 ] simplifiying candidate #real (real->posit16 (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N)))))> 1.942 * * * * [progress]: [ 68 / 79 ] simplifiying candidate # 1.942 * * * * [progress]: [ 69 / 79 ] simplifiying candidate # 1.942 * * * * [progress]: [ 70 / 79 ] simplifiying candidate # 1.942 * * * * [progress]: [ 71 / 79 ] simplifiying candidate # 1.942 * * * * [progress]: [ 72 / 79 ] simplifiying candidate # 1.942 * * * * [progress]: [ 73 / 79 ] simplifiying candidate # 1.942 * * * * [progress]: [ 74 / 79 ] simplifiying candidate # 1.942 * * * * [progress]: [ 75 / 79 ] simplifiying candidate # 1.942 * * * * [progress]: [ 76 / 79 ] simplifiying candidate # 1.942 * * * * [progress]: [ 77 / 79 ] simplifiying candidate # 1.942 * * * * [progress]: [ 78 / 79 ] simplifiying candidate # 1.942 * * * * [progress]: [ 79 / 79 ] simplifiying candidate # 1.944 * [simplify]: Simplifying: (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log 1) (log (+ N 1)) (log 1) (log (+ N 1)) (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1)))) (log (- (* N N) (* 1 1))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (exp (log (+ N 1))) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log 1) (log (+ N 1)) (log 1) (log (+ N 1)) (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1)))) (log (- (* N N) (* 1 1))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (exp (log (+ N 1))) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log 1) (log (+ N 1)) (log 1) (log (+ N 1)) (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1)))) (log (- (* N N) (* 1 1))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (exp (log (+ N 1))) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (/ (exp (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))))) N) (log (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N))) (exp (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N))) (* (cbrt (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N))) (cbrt (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N)))) (cbrt (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N))) (* (* (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N)) (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N))) (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N))) (sqrt (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N))) (sqrt (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N))) (- (pow (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) 3) (pow (log N) 3)) (+ (* (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))))) (+ (* (log N) (log N)) (* (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N)))) (- (log N)) (- (* (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))))) (* (log N) (log N))) (+ (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N)) (+ (sqrt (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))))) (sqrt (log N))) (- (sqrt (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))))) (sqrt (log N))) (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N)) (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log N)) (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log (* (cbrt N) (cbrt N)))) (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log (sqrt N))) (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1)))) (log 1)) (- (log N)) (real->posit16 (- (cbrt (* (* (log (+ N 1)) (log (+ N 1))) (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 (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (- N (+ (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)))) 1.945 * * [simplify]: iteration 0: 97 enodes 1.978 * * [simplify]: iteration 1: 198 enodes 2.065 * * [simplify]: iteration 2: 458 enodes 2.273 * * [simplify]: iteration 3: 1419 enodes 2.686 * * [simplify]: iteration complete: 2019 enodes 2.686 * * [simplify]: Extracting #0: cost 37 inf + 0 2.687 * * [simplify]: Extracting #1: cost 178 inf + 1 2.689 * * [simplify]: Extracting #2: cost 441 inf + 1274 2.701 * * [simplify]: Extracting #3: cost 337 inf + 34319 2.722 * * [simplify]: Extracting #4: cost 148 inf + 71731 2.742 * * [simplify]: Extracting #5: cost 57 inf + 100095 2.762 * * [simplify]: Extracting #6: cost 17 inf + 108293 2.786 * * [simplify]: Extracting #7: cost 0 inf + 112816 2.819 * [simplify]: Simplified to: (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (+ 1 N)) 0 (log (+ 1 N)) (log (+ (* N (* N N)) 1)) (log (+ (- 1 N) (* N N))) (log (- (* N N) 1)) (log (- N 1)) (log (+ 1 N)) (log (log (+ 1 N))) (+ 1 N) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (log (+ 1 N))) (* (* (log (+ 1 N)) (log (+ 1 N))) (log (+ 1 N))) (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N))) (real->posit16 (log (+ 1 N))) (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (+ 1 N)) 0 (log (+ 1 N)) (log (+ (* N (* N N)) 1)) (log (+ (- 1 N) (* N N))) (log (- (* N N) 1)) (log (- N 1)) (log (+ 1 N)) (log (log (+ 1 N))) (+ 1 N) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (log (+ 1 N))) (* (* (log (+ 1 N)) (log (+ 1 N))) (log (+ 1 N))) (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N))) (real->posit16 (log (+ 1 N))) (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (+ 1 N)) 0 (log (+ 1 N)) (log (+ (* N (* N N)) 1)) (log (+ (- 1 N) (* N N))) (log (- (* N N) 1)) (log (- N 1)) (log (+ 1 N)) (log (log (+ 1 N))) (+ 1 N) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (log (+ 1 N))) (* (* (log (+ 1 N)) (log (+ 1 N))) (log (+ 1 N))) (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N))) (real->posit16 (log (+ 1 N))) (/ (+ 1 N) N) (log (- (log (+ 1 N)) (log N))) (/ (+ 1 N) N) (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) (cbrt (- (log (+ 1 N)) (log N))) (* (- (log (+ 1 N)) (log N)) (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)))) (sqrt (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (- (* (* (log (+ 1 N)) (log (+ 1 N))) (log (+ 1 N))) (* (* (log N) (log N)) (log N))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (* (log (+ 1 N)) (log (+ 1 N)))) (- (log N)) (* (+ (log N) (log (+ 1 N))) (- (log (+ 1 N)) (log N))) (+ (log N) (log (+ 1 N))) (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (+ N (* (* N N) (- (* N 1/3) 1/2))) (- (/ 1 N) (- (/ 1/2 (* N N)) (log N))) (- (/ 1 N) (- (/ 1/2 (* N N)) (log N))) (+ N (* (* N N) (- (* N 1/3) 1/2))) (- (/ 1 N) (- (/ 1/2 (* N N)) (log N))) (- (/ 1 N) (- (/ 1/2 (* N N)) (log N))) (+ N (* (* N N) (- (* N 1/3) 1/2))) (- (/ 1 N) (- (/ 1/2 (* N N)) (log N))) (- (/ 1 N) (- (/ 1/2 (* N N)) (log N))) (- (- N (log N)) (/ (* N N) 2)) (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) 2.831 * * * [progress]: adding candidates to table 3.186 * * [progress]: iteration 3 / 4 3.186 * * * [progress]: picking best candidate 3.189 * * * * [pick]: Picked # 3.189 * * * [progress]: localizing error 3.215 * * * [progress]: generating rewritten candidates 3.215 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.285 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 3.292 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.305 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.336 * * * [progress]: generating series expansions 3.336 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.336 * [backup-simplify]: Simplify (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.337 * [approximate]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 3.337 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 3.337 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 3.337 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 3.337 * [taylor]: Taking taylor expansion of 1/3 in N 3.337 * [backup-simplify]: Simplify 1/3 into 1/3 3.337 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.337 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.337 * [taylor]: Taking taylor expansion of N in N 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 1 into 1 3.338 * [backup-simplify]: Simplify (* 1 1) into 1 3.338 * [backup-simplify]: Simplify (* 1 1) into 1 3.338 * [backup-simplify]: Simplify (/ 1 1) into 1 3.338 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.338 * [taylor]: Taking taylor expansion of N in N 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 1 into 1 3.339 * [backup-simplify]: Simplify (/ 1 1) into 1 3.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 3.339 * [taylor]: Taking taylor expansion of 1/2 in N 3.339 * [backup-simplify]: Simplify 1/2 into 1/2 3.339 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.339 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.339 * [taylor]: Taking taylor expansion of N in N 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 1 into 1 3.339 * [backup-simplify]: Simplify (* 1 1) into 1 3.340 * [backup-simplify]: Simplify (/ 1 1) into 1 3.340 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 3.340 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 3.340 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 3.340 * [taylor]: Taking taylor expansion of 1/3 in N 3.340 * [backup-simplify]: Simplify 1/3 into 1/3 3.340 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.340 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.340 * [taylor]: Taking taylor expansion of N in N 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 1 into 1 3.340 * [backup-simplify]: Simplify (* 1 1) into 1 3.341 * [backup-simplify]: Simplify (* 1 1) into 1 3.341 * [backup-simplify]: Simplify (/ 1 1) into 1 3.341 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.341 * [taylor]: Taking taylor expansion of N in N 3.341 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify 1 into 1 3.342 * [backup-simplify]: Simplify (/ 1 1) into 1 3.342 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 3.342 * [taylor]: Taking taylor expansion of 1/2 in N 3.342 * [backup-simplify]: Simplify 1/2 into 1/2 3.342 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.342 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.342 * [taylor]: Taking taylor expansion of N in N 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 1 into 1 3.342 * [backup-simplify]: Simplify (* 1 1) into 1 3.343 * [backup-simplify]: Simplify (/ 1 1) into 1 3.343 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 3.344 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 3.344 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 3.344 * [backup-simplify]: Simplify 1/3 into 1/3 3.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.347 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 3.348 * [backup-simplify]: Simplify (+ 0 0) into 0 3.348 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.348 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.349 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.349 * [backup-simplify]: Simplify -1/2 into -1/2 3.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.352 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 3.352 * [backup-simplify]: Simplify (+ 0 1) into 1 3.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.354 * [backup-simplify]: Simplify (- 0) into 0 3.354 * [backup-simplify]: Simplify (+ 1 0) into 1 3.354 * [backup-simplify]: Simplify 1 into 1 3.354 * [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)))) 3.355 * [backup-simplify]: Simplify (+ (/ 1/3 (* (* (/ 1 N) (/ 1 N)) (/ 1 N))) (- (/ 1 (/ 1 N)) (/ 1/2 (* (/ 1 N) (/ 1 N))))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 3.355 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 3.355 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 3.355 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 3.355 * [taylor]: Taking taylor expansion of N in N 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.355 * [taylor]: Taking taylor expansion of 1/3 in N 3.355 * [backup-simplify]: Simplify 1/3 into 1/3 3.355 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.355 * [taylor]: Taking taylor expansion of N in N 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.355 * [taylor]: Taking taylor expansion of 1/2 in N 3.355 * [backup-simplify]: Simplify 1/2 into 1/2 3.355 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.355 * [taylor]: Taking taylor expansion of N in N 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 3.355 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 3.355 * [taylor]: Taking taylor expansion of N in N 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.355 * [taylor]: Taking taylor expansion of 1/3 in N 3.355 * [backup-simplify]: Simplify 1/3 into 1/3 3.355 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.355 * [taylor]: Taking taylor expansion of N in N 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.355 * [taylor]: Taking taylor expansion of 1/2 in N 3.355 * [backup-simplify]: Simplify 1/2 into 1/2 3.355 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.355 * [taylor]: Taking taylor expansion of N in N 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (+ 0 0) into 0 3.356 * [backup-simplify]: Simplify (+ 0 0) into 0 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify (+ 1 0) into 1 3.357 * [backup-simplify]: Simplify (+ 1 0) into 1 3.357 * [backup-simplify]: Simplify 1 into 1 3.357 * [backup-simplify]: Simplify (+ 0 0) into 0 3.357 * [backup-simplify]: Simplify (* 1 1) into 1 3.357 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.358 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.358 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.358 * [backup-simplify]: Simplify -1/2 into -1/2 3.358 * [backup-simplify]: Simplify (* 1 1) into 1 3.359 * [backup-simplify]: Simplify (* 1 1) into 1 3.359 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 3.359 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 3.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.360 * [backup-simplify]: Simplify (- 0) into 0 3.361 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 3.361 * [backup-simplify]: Simplify 1/3 into 1/3 3.361 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.361 * [backup-simplify]: Simplify (+ (/ 1/3 (* (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))) (- (/ 1 (/ 1 (- N))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))))) into (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) 3.361 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in (N) around 0 3.361 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 3.361 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 3.361 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.361 * [taylor]: Taking taylor expansion of 1/2 in N 3.361 * [backup-simplify]: Simplify 1/2 into 1/2 3.361 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.361 * [taylor]: Taking taylor expansion of N in N 3.361 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 3.362 * [taylor]: Taking taylor expansion of N in N 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.362 * [taylor]: Taking taylor expansion of 1/3 in N 3.362 * [backup-simplify]: Simplify 1/3 into 1/3 3.362 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.362 * [taylor]: Taking taylor expansion of N in N 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 3.362 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 3.362 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.362 * [taylor]: Taking taylor expansion of 1/2 in N 3.362 * [backup-simplify]: Simplify 1/2 into 1/2 3.362 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.362 * [taylor]: Taking taylor expansion of N in N 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 3.362 * [taylor]: Taking taylor expansion of N in N 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.362 * [taylor]: Taking taylor expansion of 1/3 in N 3.362 * [backup-simplify]: Simplify 1/3 into 1/3 3.362 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.362 * [taylor]: Taking taylor expansion of N in N 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.364 * [backup-simplify]: Simplify (+ 0 0) into 0 3.364 * [backup-simplify]: Simplify (+ 0 0) into 0 3.364 * [backup-simplify]: Simplify (- 0) into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify (+ 1 0) into 1 3.365 * [backup-simplify]: Simplify (+ 0 1) into 1 3.365 * [backup-simplify]: Simplify (- 1) into -1 3.365 * [backup-simplify]: Simplify -1 into -1 3.365 * [backup-simplify]: Simplify (* 1 1) into 1 3.366 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.366 * [backup-simplify]: Simplify (+ 0 0) into 0 3.366 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.366 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.367 * [backup-simplify]: Simplify -1/2 into -1/2 3.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.368 * [backup-simplify]: Simplify (* 1 1) into 1 3.368 * [backup-simplify]: Simplify (* 1 1) into 1 3.368 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 3.368 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 3.369 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 3.369 * [backup-simplify]: Simplify (- 1/3) into -1/3 3.369 * [backup-simplify]: Simplify -1/3 into -1/3 3.369 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.369 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 3.369 * [backup-simplify]: Simplify (/ 1/2 (* N N)) into (/ 1/2 (pow N 2)) 3.369 * [approximate]: Taking taylor expansion of (/ 1/2 (pow N 2)) in (N) around 0 3.369 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 3.369 * [taylor]: Taking taylor expansion of 1/2 in N 3.369 * [backup-simplify]: Simplify 1/2 into 1/2 3.369 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.369 * [taylor]: Taking taylor expansion of N in N 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (* 1 1) into 1 3.370 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.370 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 3.370 * [taylor]: Taking taylor expansion of 1/2 in N 3.370 * [backup-simplify]: Simplify 1/2 into 1/2 3.370 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.370 * [taylor]: Taking taylor expansion of N in N 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (* 1 1) into 1 3.371 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.371 * [backup-simplify]: Simplify 1/2 into 1/2 3.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.375 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.377 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 3.379 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 N) (/ 1 N))) into (* 1/2 (pow N 2)) 3.379 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 3.379 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.379 * [taylor]: Taking taylor expansion of 1/2 in N 3.379 * [backup-simplify]: Simplify 1/2 into 1/2 3.379 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.379 * [taylor]: Taking taylor expansion of N in N 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify 1 into 1 3.379 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.379 * [taylor]: Taking taylor expansion of 1/2 in N 3.379 * [backup-simplify]: Simplify 1/2 into 1/2 3.379 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.379 * [taylor]: Taking taylor expansion of N in N 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify 1 into 1 3.379 * [backup-simplify]: Simplify (* 1 1) into 1 3.379 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.379 * [backup-simplify]: Simplify 1/2 into 1/2 3.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.380 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.383 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.389 * [backup-simplify]: Simplify 0 into 0 3.389 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 3.389 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/2 (pow N 2)) 3.389 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 3.390 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.390 * [taylor]: Taking taylor expansion of 1/2 in N 3.390 * [backup-simplify]: Simplify 1/2 into 1/2 3.390 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.390 * [taylor]: Taking taylor expansion of N in N 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify 1 into 1 3.390 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.390 * [taylor]: Taking taylor expansion of 1/2 in N 3.390 * [backup-simplify]: Simplify 1/2 into 1/2 3.390 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.390 * [taylor]: Taking taylor expansion of N in N 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify 1 into 1 3.390 * [backup-simplify]: Simplify (* 1 1) into 1 3.391 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.391 * [backup-simplify]: Simplify 1/2 into 1/2 3.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.392 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.394 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.399 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (- N)) 2)) into (/ 1/2 (pow N 2)) 3.406 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.406 * [backup-simplify]: Simplify (- (/ 1 N) (/ 1/2 (* N N))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 3.406 * [approximate]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 3.406 * [taylor]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in N 3.406 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.407 * [taylor]: Taking taylor expansion of N in N 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 1 into 1 3.407 * [backup-simplify]: Simplify (/ 1 1) into 1 3.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 3.407 * [taylor]: Taking taylor expansion of 1/2 in N 3.407 * [backup-simplify]: Simplify 1/2 into 1/2 3.407 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.407 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.407 * [taylor]: Taking taylor expansion of N in N 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 1 into 1 3.408 * [backup-simplify]: Simplify (* 1 1) into 1 3.408 * [backup-simplify]: Simplify (/ 1 1) into 1 3.408 * [taylor]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in N 3.408 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.408 * [taylor]: Taking taylor expansion of N in N 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 1 into 1 3.409 * [backup-simplify]: Simplify (/ 1 1) into 1 3.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 3.409 * [taylor]: Taking taylor expansion of 1/2 in N 3.409 * [backup-simplify]: Simplify 1/2 into 1/2 3.409 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.409 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.409 * [taylor]: Taking taylor expansion of N in N 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.409 * [backup-simplify]: Simplify (* 1 1) into 1 3.410 * [backup-simplify]: Simplify (/ 1 1) into 1 3.410 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.410 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.411 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.411 * [backup-simplify]: Simplify -1/2 into -1/2 3.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.414 * [backup-simplify]: Simplify (- 0) into 0 3.414 * [backup-simplify]: Simplify (+ 1 0) into 1 3.414 * [backup-simplify]: Simplify 1 into 1 3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.418 * [backup-simplify]: Simplify (- 0) into 0 3.419 * [backup-simplify]: Simplify (+ 0 0) into 0 3.419 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (- 0) into 0 3.424 * [backup-simplify]: Simplify (+ 0 0) into 0 3.424 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.429 * [backup-simplify]: Simplify (- 0) into 0 3.430 * [backup-simplify]: Simplify (+ 0 0) into 0 3.430 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.436 * [backup-simplify]: Simplify (- 0) into 0 3.436 * [backup-simplify]: Simplify (+ 0 0) into 0 3.436 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.443 * [backup-simplify]: Simplify (- 0) into 0 3.443 * [backup-simplify]: Simplify (+ 0 0) into 0 3.443 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.449 * [backup-simplify]: Simplify (- 0) into 0 3.449 * [backup-simplify]: Simplify (+ 0 0) into 0 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (* -1/2 (pow (/ 1 N) 2))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 3.450 * [backup-simplify]: Simplify (- (/ 1 (/ 1 N)) (/ 1/2 (* (/ 1 N) (/ 1 N)))) into (- N (* 1/2 (pow N 2))) 3.450 * [approximate]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in (N) around 0 3.450 * [taylor]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in N 3.450 * [taylor]: Taking taylor expansion of N in N 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.450 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.450 * [taylor]: Taking taylor expansion of 1/2 in N 3.450 * [backup-simplify]: Simplify 1/2 into 1/2 3.450 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.450 * [taylor]: Taking taylor expansion of N in N 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.450 * [taylor]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in N 3.450 * [taylor]: Taking taylor expansion of N in N 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.450 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.450 * [taylor]: Taking taylor expansion of 1/2 in N 3.450 * [backup-simplify]: Simplify 1/2 into 1/2 3.450 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.450 * [taylor]: Taking taylor expansion of N in N 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.450 * [backup-simplify]: Simplify (+ 0 0) into 0 3.450 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify (+ 1 0) into 1 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (* 1 1) into 1 3.451 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.452 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.452 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.452 * [backup-simplify]: Simplify -1/2 into -1/2 3.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.453 * [backup-simplify]: Simplify (- 0) into 0 3.453 * [backup-simplify]: Simplify (+ 0 0) into 0 3.453 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.455 * [backup-simplify]: Simplify (- 0) into 0 3.455 * [backup-simplify]: Simplify (+ 0 0) into 0 3.455 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.457 * [backup-simplify]: Simplify (- 0) into 0 3.457 * [backup-simplify]: Simplify (+ 0 0) into 0 3.457 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.459 * [backup-simplify]: Simplify (- 0) into 0 3.460 * [backup-simplify]: Simplify (+ 0 0) into 0 3.460 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.462 * [backup-simplify]: Simplify (- 0) into 0 3.463 * [backup-simplify]: Simplify (+ 0 0) into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.465 * [backup-simplify]: Simplify (- 0) into 0 3.465 * [backup-simplify]: Simplify (+ 0 0) into 0 3.465 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 3.466 * [backup-simplify]: Simplify (- (/ 1 (/ 1 (- N))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ N (* 1/2 (pow N 2)))) 3.466 * [approximate]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in (N) around 0 3.466 * [taylor]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in N 3.466 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 3.466 * [taylor]: Taking taylor expansion of N in N 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 1 into 1 3.466 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.466 * [taylor]: Taking taylor expansion of 1/2 in N 3.466 * [backup-simplify]: Simplify 1/2 into 1/2 3.466 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.466 * [taylor]: Taking taylor expansion of N in N 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 1 into 1 3.466 * [taylor]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in N 3.466 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 3.466 * [taylor]: Taking taylor expansion of N in N 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 1 into 1 3.466 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.466 * [taylor]: Taking taylor expansion of 1/2 in N 3.466 * [backup-simplify]: Simplify 1/2 into 1/2 3.466 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.466 * [taylor]: Taking taylor expansion of N in N 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 1 into 1 3.467 * [backup-simplify]: Simplify (+ 0 0) into 0 3.467 * [backup-simplify]: Simplify (- 0) into 0 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify (+ 1 0) into 1 3.467 * [backup-simplify]: Simplify (- 1) into -1 3.467 * [backup-simplify]: Simplify -1 into -1 3.468 * [backup-simplify]: Simplify (* 1 1) into 1 3.468 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.468 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.469 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.469 * [backup-simplify]: Simplify -1/2 into -1/2 3.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.470 * [backup-simplify]: Simplify (+ 0 0) into 0 3.470 * [backup-simplify]: Simplify (- 0) into 0 3.470 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.472 * [backup-simplify]: Simplify (+ 0 0) into 0 3.472 * [backup-simplify]: Simplify (- 0) into 0 3.472 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.474 * [backup-simplify]: Simplify (+ 0 0) into 0 3.474 * [backup-simplify]: Simplify (- 0) into 0 3.474 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.476 * [backup-simplify]: Simplify (+ 0 0) into 0 3.477 * [backup-simplify]: Simplify (- 0) into 0 3.477 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.480 * [backup-simplify]: Simplify (+ 0 0) into 0 3.481 * [backup-simplify]: Simplify (- 0) into 0 3.481 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.488 * [backup-simplify]: Simplify (+ 0 0) into 0 3.488 * [backup-simplify]: Simplify (- 0) into 0 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N)))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 3.488 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.489 * [backup-simplify]: Simplify (/ 1/3 (* (* N N) N)) into (/ 1/3 (pow N 3)) 3.489 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 3.489 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 3.489 * [taylor]: Taking taylor expansion of 1/3 in N 3.489 * [backup-simplify]: Simplify 1/3 into 1/3 3.489 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.489 * [taylor]: Taking taylor expansion of N in N 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 1 into 1 3.489 * [backup-simplify]: Simplify (* 1 1) into 1 3.490 * [backup-simplify]: Simplify (* 1 1) into 1 3.490 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 3.490 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 3.490 * [taylor]: Taking taylor expansion of 1/3 in N 3.490 * [backup-simplify]: Simplify 1/3 into 1/3 3.490 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.490 * [taylor]: Taking taylor expansion of N in N 3.490 * [backup-simplify]: Simplify 0 into 0 3.490 * [backup-simplify]: Simplify 1 into 1 3.491 * [backup-simplify]: Simplify (* 1 1) into 1 3.491 * [backup-simplify]: Simplify (* 1 1) into 1 3.492 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 3.492 * [backup-simplify]: Simplify 1/3 into 1/3 3.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.498 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.505 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.508 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.511 * [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 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 3.511 * [backup-simplify]: Simplify (/ 1/3 (* (* (/ 1 N) (/ 1 N)) (/ 1 N))) into (* 1/3 (pow N 3)) 3.511 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0 3.511 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.511 * [taylor]: Taking taylor expansion of 1/3 in N 3.511 * [backup-simplify]: Simplify 1/3 into 1/3 3.511 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.511 * [taylor]: Taking taylor expansion of N in N 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 1 into 1 3.511 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.511 * [taylor]: Taking taylor expansion of 1/3 in N 3.511 * [backup-simplify]: Simplify 1/3 into 1/3 3.511 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.511 * [taylor]: Taking taylor expansion of N in N 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 1 into 1 3.512 * [backup-simplify]: Simplify (* 1 1) into 1 3.512 * [backup-simplify]: Simplify (* 1 1) into 1 3.512 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 3.512 * [backup-simplify]: Simplify 1/3 into 1/3 3.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.513 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 3.513 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.515 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 3.515 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.517 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.519 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.519 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.522 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.525 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.525 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 3.526 * [backup-simplify]: Simplify (/ 1/3 (* (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))) into (* -1/3 (pow N 3)) 3.526 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0 3.526 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 3.526 * [taylor]: Taking taylor expansion of -1/3 in N 3.526 * [backup-simplify]: Simplify -1/3 into -1/3 3.526 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.526 * [taylor]: Taking taylor expansion of N in N 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 1 into 1 3.526 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 3.526 * [taylor]: Taking taylor expansion of -1/3 in N 3.526 * [backup-simplify]: Simplify -1/3 into -1/3 3.526 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.526 * [taylor]: Taking taylor expansion of N in N 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 1 into 1 3.526 * [backup-simplify]: Simplify (* 1 1) into 1 3.527 * [backup-simplify]: Simplify (* 1 1) into 1 3.527 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 3.527 * [backup-simplify]: Simplify -1/3 into -1/3 3.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.529 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 3.529 * [backup-simplify]: Simplify 0 into 0 3.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.530 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.533 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.533 * [backup-simplify]: Simplify 0 into 0 3.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.535 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.535 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.538 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.538 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.541 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (- N)) 3)) into (/ 1/3 (pow N 3)) 3.541 * * * [progress]: simplifying candidates 3.541 * * * * [progress]: [ 1 / 102 ] simplifiying candidate # 3.541 * * * * [progress]: [ 2 / 102 ] simplifiying candidate # 3.541 * * * * [progress]: [ 3 / 102 ] simplifiying candidate # 3.541 * * * * [progress]: [ 4 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 5 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 6 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 7 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 8 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 9 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 10 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 11 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 12 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 13 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 14 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 15 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 16 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 17 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 18 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 19 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 20 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 21 / 102 ] simplifiying candidate #real (real->posit16 (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))))))> 3.542 * * * * [progress]: [ 22 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 23 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 24 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 25 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 26 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 27 / 102 ] simplifiying candidate # 3.542 * * * * [progress]: [ 28 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 29 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 30 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 31 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 32 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 33 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 34 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 35 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 36 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 37 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 38 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 39 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 40 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 41 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 42 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 43 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 44 / 102 ] simplifiying candidate #real (real->posit16 (/ 1/2 (* N N)))))))> 3.543 * * * * [progress]: [ 45 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 46 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 47 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 48 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 49 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 50 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 51 / 102 ] simplifiying candidate # 3.543 * * * * [progress]: [ 52 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 53 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 54 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 55 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 56 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 57 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 58 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 59 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 60 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 61 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 62 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 63 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 64 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 65 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 66 / 102 ] simplifiying candidate #real (real->posit16 (- (/ 1 N) (/ 1/2 (* N N)))))))> 3.544 * * * * [progress]: [ 67 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 68 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 69 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 70 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 71 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 72 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 73 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 74 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 75 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 76 / 102 ] simplifiying candidate # 3.544 * * * * [progress]: [ 77 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 78 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 79 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 80 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 81 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 82 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 83 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 84 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 85 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 86 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 87 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 88 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 89 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 90 / 102 ] simplifiying candidate #real (real->posit16 (/ 1/3 (* (* N N) N)))) (- (/ 1 N) (/ 1/2 (* N N)))))> 3.545 * * * * [progress]: [ 91 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 92 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 93 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 94 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 95 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 96 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 97 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 98 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 99 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 100 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 101 / 102 ] simplifiying candidate # 3.545 * * * * [progress]: [ 102 / 102 ] simplifiying candidate # 3.546 * [simplify]: Simplifying: (* (exp (/ 1/3 (* (* N N) N))) (/ (exp (/ 1 N)) (exp (/ 1/2 (* N N))))) (* (exp (/ 1/3 (* (* N N) N))) (exp (- (/ 1 N) (/ 1/2 (* N N))))) (log (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (exp (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (* (cbrt (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (* (* (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (sqrt (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (sqrt (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (+ (* 1/3 (* N (* N N))) (* (* (* N N) N) (- (* 1 (* N N)) (* N 1/2)))) (* (* (* N N) N) (* N (* N N))) (+ (* 1/3 (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N)))))) (* (* (* N N) N) (- (pow (/ 1 N) 3) (pow (/ 1/2 (* N N)) 3)))) (* (* (* N N) N) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N)))))) (+ (* 1/3 (+ (/ 1 N) (/ 1/2 (* N N)))) (* (* (* N N) N) (- (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))))) (* (* (* N N) N) (+ (/ 1 N) (/ 1/2 (* N N)))) (+ (pow (/ 1/3 (* (* N N) N)) 3) (pow (- (/ 1 N) (/ 1/2 (* N N))) 3)) (+ (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N))) (- (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (* (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (- (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N))) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (- (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (real->posit16 (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (- (log 1/2) (+ (log N) (log N))) (- (log 1/2) (log (* N N))) (log (/ 1/2 (* N N))) (exp (/ 1/2 (* N N))) (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) (cbrt (/ 1/2 (* N N))) (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) (- 1/2) (- (* N N)) (/ (* (cbrt 1/2) (cbrt 1/2)) N) (/ (cbrt 1/2) N) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (/ 1 N) (/ 1/2 N) (/ 1 (* N N)) (/ (* N N) 1/2) (/ 1/2 N) (/ (* N N) (cbrt 1/2)) (/ (* N N) (sqrt 1/2)) (/ (* N N) 1/2) (real->posit16 (/ 1/2 (* N N))) (/ (exp (/ 1 N)) (exp (/ 1/2 (* N N)))) (log (- (/ 1 N) (/ 1/2 (* N N)))) (exp (- (/ 1 N) (/ 1/2 (* N N)))) (* (cbrt (- (/ 1 N) (/ 1/2 (* N N)))) (cbrt (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt (- (/ 1 N) (/ 1/2 (* N N)))) (* (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (- (/ 1 N) (/ 1/2 (* N N)))) (sqrt (- (/ 1 N) (/ 1/2 (* N N)))) (sqrt (- (/ 1 N) (/ 1/2 (* N N)))) (- (* 1 (* N N)) (* N 1/2)) (* N (* N N)) (- (pow (/ 1 N) 3) (pow (/ 1/2 (* N N)) 3)) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N))))) (- (/ 1/2 (* N N))) (- (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))) (+ (/ 1 N) (/ 1/2 (* N N))) (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (+ (sqrt (/ 1 N)) (/ (sqrt 1/2) N)) (- (sqrt (/ 1 N)) (/ (sqrt 1/2) N)) (+ (/ (sqrt 1) (sqrt N)) (sqrt (/ 1/2 (* N N)))) (- (/ (sqrt 1) (sqrt N)) (sqrt (/ 1/2 (* N N)))) (+ (/ (sqrt 1) (sqrt N)) (/ (sqrt 1/2) N)) (- (/ (sqrt 1) (sqrt N)) (/ (sqrt 1/2) N)) (+ (/ 1 (sqrt N)) (sqrt (/ 1/2 (* N N)))) (- (/ 1 (sqrt N)) (sqrt (/ 1/2 (* N N)))) (+ (/ 1 (sqrt N)) (/ (sqrt 1/2) N)) (- (/ 1 (sqrt N)) (/ (sqrt 1/2) N)) (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1/2 (* N N))) (real->posit16 (- (/ 1 N) (/ 1/2 (* N N)))) (- (log 1/3) (+ (+ (log N) (log N)) (log N))) (- (log 1/3) (+ (log (* N N)) (log N))) (- (log 1/3) (log (* (* N N) N))) (log (/ 1/3 (* (* N N) N))) (exp (/ 1/3 (* (* N N) N))) (/ (* (* 1/3 1/3) 1/3) (* (* (* (* N N) N) (* (* N N) N)) (* (* N N) N))) (/ (* (* 1/3 1/3) 1/3) (* (* (* (* N N) (* N N)) (* N N)) (* (* N N) N))) (/ (* (* 1/3 1/3) 1/3) (* (* (* (* N N) N) (* (* N N) N)) (* (* N N) N))) (* (cbrt (/ 1/3 (* (* N N) N))) (cbrt (/ 1/3 (* (* N N) N)))) (cbrt (/ 1/3 (* (* N N) N))) (* (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N))) (/ 1/3 (* (* N N) N))) (sqrt (/ 1/3 (* (* N N) N))) (sqrt (/ 1/3 (* (* N N) N))) (- 1/3) (- (* (* N N) N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (* N N)) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* N N)) (/ (sqrt 1/3) N) (/ 1 (* N N)) (/ 1/3 N) (/ 1 (* (* N N) N)) (/ (* (* N N) N) 1/3) (/ 1/3 (* N N)) (/ (* (* N N) N) (cbrt 1/3)) (/ (* (* N N) N) (sqrt 1/3)) (/ (* (* N N) N) 1/3) (real->posit16 (/ 1/3 (* (* N N) N))) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (/ 1/2 (pow N 2)) (/ 1/2 (pow N 2)) (/ 1/2 (pow N 2)) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) 3.548 * * [simplify]: iteration 0: 168 enodes 3.634 * * [simplify]: iteration 1: 449 enodes 3.920 * * [simplify]: iteration 2: 1629 enodes 4.341 * * [simplify]: iteration complete: 2036 enodes 4.342 * * [simplify]: Extracting #0: cost 82 inf + 0 4.344 * * [simplify]: Extracting #1: cost 462 inf + 2 4.349 * * [simplify]: Extracting #2: cost 689 inf + 8508 4.370 * * [simplify]: Extracting #3: cost 327 inf + 72814 4.392 * * [simplify]: Extracting #4: cost 92 inf + 126094 4.447 * * [simplify]: Extracting #5: cost 7 inf + 154486 4.476 * * [simplify]: Extracting #6: cost 0 inf + 157391 4.508 * [simplify]: Simplified to: (exp (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (exp (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (log (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (exp (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (* (cbrt (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (cbrt (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ 1/3 (* (* N N) N)))))) (cbrt (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (* (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ 1/3 (* (* N N) N)))) (* (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ 1/3 (* (* N N) N)))) (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ 1/3 (* (* N N) N)))))) (sqrt (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (sqrt (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (+ (* (* (* N N) N) 1/3) (* (* (* N N) N) (+ (* N N) (* N -1/2)))) (* (* (* N N) (* N N)) (* N N)) (+ (/ 1/3 (* N N)) (+ (* (* (/ 1/2 (* N N)) (+ (/ 1/2 (* N N)) (/ 1 N))) 1/3) (* (* (* N N) N) (- (/ 1 (* (* N N) N)) (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))))))) (* (+ (/ (/ 1 N) N) (* (/ 1/2 (* N N)) (+ (/ 1/2 (* N N)) (/ 1 N)))) (* (* N N) N)) (+ (/ 1/3 N) (+ (* 1/3 (/ 1/2 (* N N))) (* (* (* N N) N) (* (- (/ 1 N) (/ 1/2 (* N N))) (+ (/ 1/2 (* N N)) (/ 1 N)))))) (* (* (* N N) N) (+ (/ 1/2 (* N N)) (/ 1 N))) (+ (* (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (- (/ 1 N) (/ 1/2 (* N N)))) (* (/ 1/3 (* (* N N) N)) (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N))))) (+ (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N))) (* (- (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/3 (* (* N N) N))) (- (/ 1 N) (/ 1/2 (* N N))))) (- (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N))) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (- (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ 1/3 (* (* N N) N)))) (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ 1/3 (* (* N N) N)))) (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ 1/3 (* (* N N) N)))) (+ (/ 1 N) (/ 1/3 (* (* N N) N))) (+ (/ 1 N) (/ 1/3 (* (* N N) N))) (+ (/ 1 N) (/ 1/3 (* (* N N) N))) (real->posit16 (+ (/ 1 N) (+ (/ -1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (log (/ 1/2 (* N N))) (log (/ 1/2 (* N N))) (log (/ 1/2 (* N N))) (exp (/ 1/2 (* N N))) (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))) (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) (cbrt (/ 1/2 (* N N))) (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) -1/2 (* (- N) N) (/ (cbrt 1/2) (/ N (cbrt 1/2))) (/ (cbrt 1/2) N) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (/ 1 N) (/ 1/2 N) (/ (/ 1 N) N) (/ (* N N) 1/2) (/ 1/2 N) (/ (* N N) (cbrt 1/2)) (/ N (/ (sqrt 1/2) N)) (/ (* N N) 1/2) (real->posit16 (/ 1/2 (* N N))) (exp (- (/ 1 N) (/ 1/2 (* N N)))) (log (- (/ 1 N) (/ 1/2 (* N N)))) (exp (- (/ 1 N) (/ 1/2 (* N N)))) (* (cbrt (- (/ 1 N) (/ 1/2 (* N N)))) (cbrt (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt (- (/ 1 N) (/ 1/2 (* N N)))) (* (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (- (/ 1 N) (/ 1/2 (* N N)))) (sqrt (- (/ 1 N) (/ 1/2 (* N N)))) (sqrt (- (/ 1 N) (/ 1/2 (* N N)))) (+ (* N N) (* N -1/2)) (* (* N N) N) (- (/ 1 (* (* N N) N)) (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N)))) (+ (/ (/ 1 N) N) (* (/ 1/2 (* N N)) (+ (/ 1/2 (* N N)) (/ 1 N)))) (/ -1/2 (* N N)) (* (- (/ 1 N) (/ 1/2 (* N N))) (+ (/ 1/2 (* N N)) (/ 1 N))) (+ (/ 1/2 (* N N)) (/ 1 N)) (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (+ (/ (sqrt 1/2) N) (sqrt (/ 1 N))) (- (sqrt (/ 1 N)) (/ (sqrt 1/2) N)) (+ (/ 1 (sqrt N)) (sqrt (/ 1/2 (* N N)))) (- (/ 1 (sqrt N)) (sqrt (/ 1/2 (* N N)))) (+ (/ 1 (sqrt N)) (/ (sqrt 1/2) N)) (- (/ 1 (sqrt N)) (/ (sqrt 1/2) N)) (+ (/ 1 (sqrt N)) (sqrt (/ 1/2 (* N N)))) (- (/ 1 (sqrt N)) (sqrt (/ 1/2 (* N N)))) (+ (/ 1 (sqrt N)) (/ (sqrt 1/2) N)) (- (/ 1 (sqrt N)) (/ (sqrt 1/2) N)) (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))) (/ -1/2 (* N N)) (real->posit16 (- (/ 1 N) (/ 1/2 (* N N)))) (log (/ 1/3 (* (* N N) N))) (log (/ 1/3 (* (* N N) N))) (log (/ 1/3 (* (* N N) N))) (log (/ 1/3 (* (* N N) N))) (exp (/ 1/3 (* (* N N) N))) (* (/ 1/3 (* (* N N) N)) (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N)))) (* (/ 1/3 (* (* N N) N)) (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N)))) (* (/ 1/3 (* (* N N) N)) (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N)))) (* (cbrt (/ 1/3 (* (* N N) N))) (cbrt (/ 1/3 (* (* N N) N)))) (cbrt (/ 1/3 (* (* N N) N))) (* (/ 1/3 (* (* N N) N)) (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N)))) (sqrt (/ 1/3 (* (* N N) N))) (sqrt (/ 1/3 (* (* N N) N))) -1/3 (- (* (* N N) N)) (* (/ (cbrt 1/3) N) (/ (cbrt 1/3) N)) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* N N)) (/ (sqrt 1/3) N) (/ (/ 1 N) N) (/ 1/3 N) (/ 1 (* (* N N) N)) (/ (* (* N N) N) 1/3) (/ 1/3 (* N N)) (/ (* (* N N) N) (cbrt 1/3)) (/ (* (* N N) N) (sqrt 1/3)) (/ (* (* N N) N) 1/3) (real->posit16 (/ 1/3 (* (* N N) N))) (- (+ (/ 1 N) (/ 1/3 (* (* N N) N))) (/ 1/2 (* N N))) (- (+ (/ 1 N) (/ 1/3 (* (* N N) N))) (/ 1/2 (* N N))) (- (+ (/ 1 N) (/ 1/3 (* (* N N) N))) (/ 1/2 (* N N))) (/ 1/2 (* N N)) (/ 1/2 (* N N)) (/ 1/2 (* N N)) (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N)) 4.521 * * * [progress]: adding candidates to table 4.845 * * [progress]: iteration 4 / 4 4.845 * * * [progress]: picking best candidate 4.852 * * * * [pick]: Picked # 4.852 * * * [progress]: localizing error 4.887 * * * [progress]: generating rewritten candidates 4.887 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 4.892 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 4.897 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.960 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1) 4.973 * * * [progress]: generating series expansions 4.973 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 4.973 * [backup-simplify]: Simplify (sqrt (/ 1/2 (* N N))) into (/ (sqrt 1/2) N) 4.973 * [approximate]: Taking taylor expansion of (/ (sqrt 1/2) N) in (N) around 0 4.973 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 4.973 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.973 * [taylor]: Taking taylor expansion of 1/2 in N 4.973 * [backup-simplify]: Simplify 1/2 into 1/2 4.974 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.975 * [taylor]: Taking taylor expansion of N in N 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify 1 into 1 4.976 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 4.976 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 4.976 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.976 * [taylor]: Taking taylor expansion of 1/2 in N 4.976 * [backup-simplify]: Simplify 1/2 into 1/2 4.976 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.977 * [taylor]: Taking taylor expansion of N in N 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify 1 into 1 4.978 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 4.978 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 4.979 * [backup-simplify]: Simplify 0 into 0 4.980 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.982 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.984 * [backup-simplify]: Simplify 0 into 0 4.985 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.986 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.989 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.991 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify (* (sqrt 1/2) (/ 1 N)) into (/ (sqrt 1/2) N) 4.992 * [backup-simplify]: Simplify (sqrt (/ 1/2 (* (/ 1 N) (/ 1 N)))) into (* N (sqrt 1/2)) 4.992 * [approximate]: Taking taylor expansion of (* N (sqrt 1/2)) in (N) around 0 4.992 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.992 * [taylor]: Taking taylor expansion of N in N 4.992 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify 1 into 1 4.992 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.992 * [taylor]: Taking taylor expansion of 1/2 in N 4.992 * [backup-simplify]: Simplify 1/2 into 1/2 4.992 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.993 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.993 * [taylor]: Taking taylor expansion of N in N 4.993 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify 1 into 1 4.993 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.993 * [taylor]: Taking taylor expansion of 1/2 in N 4.993 * [backup-simplify]: Simplify 1/2 into 1/2 4.994 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.995 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 4.995 * [backup-simplify]: Simplify 0 into 0 4.997 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 4.997 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.999 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 5.000 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 5.003 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 5.006 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 5.009 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))))) into 0 5.012 * [backup-simplify]: Simplify 0 into 0 5.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))))) into 0 5.015 * [backup-simplify]: Simplify 0 into 0 5.016 * [backup-simplify]: Simplify (* (sqrt 1/2) (/ 1 N)) into (/ (sqrt 1/2) N) 5.016 * [backup-simplify]: Simplify (sqrt (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N))))) into (* N (sqrt 1/2)) 5.016 * [approximate]: Taking taylor expansion of (* N (sqrt 1/2)) in (N) around 0 5.016 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.016 * [taylor]: Taking taylor expansion of N in N 5.016 * [backup-simplify]: Simplify 0 into 0 5.016 * [backup-simplify]: Simplify 1 into 1 5.016 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.016 * [taylor]: Taking taylor expansion of 1/2 in N 5.016 * [backup-simplify]: Simplify 1/2 into 1/2 5.017 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.018 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.018 * [taylor]: Taking taylor expansion of N in N 5.018 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify 1 into 1 5.018 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.018 * [taylor]: Taking taylor expansion of 1/2 in N 5.018 * [backup-simplify]: Simplify 1/2 into 1/2 5.018 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.020 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 5.020 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 5.023 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.024 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 5.025 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 5.027 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 5.030 * [backup-simplify]: Simplify 0 into 0 5.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 5.033 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))))) into 0 5.036 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))))) into 0 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify (* (sqrt 1/2) (/ 1 (- N))) into (* -1 (/ (sqrt 1/2) N)) 5.040 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 5.040 * [backup-simplify]: Simplify (sqrt (/ 1/2 (* N N))) into (/ (sqrt 1/2) N) 5.040 * [approximate]: Taking taylor expansion of (/ (sqrt 1/2) N) in (N) around 0 5.040 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 5.040 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.040 * [taylor]: Taking taylor expansion of 1/2 in N 5.040 * [backup-simplify]: Simplify 1/2 into 1/2 5.041 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.041 * [taylor]: Taking taylor expansion of N in N 5.041 * [backup-simplify]: Simplify 0 into 0 5.041 * [backup-simplify]: Simplify 1 into 1 5.042 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 5.042 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 5.042 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.042 * [taylor]: Taking taylor expansion of 1/2 in N 5.042 * [backup-simplify]: Simplify 1/2 into 1/2 5.043 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.043 * [taylor]: Taking taylor expansion of N in N 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 1 into 1 5.044 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 5.044 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 5.045 * [backup-simplify]: Simplify 0 into 0 5.046 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.047 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.049 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.052 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.056 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify (* (sqrt 1/2) (/ 1 N)) into (/ (sqrt 1/2) N) 5.057 * [backup-simplify]: Simplify (sqrt (/ 1/2 (* (/ 1 N) (/ 1 N)))) into (* N (sqrt 1/2)) 5.057 * [approximate]: Taking taylor expansion of (* N (sqrt 1/2)) in (N) around 0 5.058 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.058 * [taylor]: Taking taylor expansion of N in N 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.058 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.058 * [taylor]: Taking taylor expansion of 1/2 in N 5.058 * [backup-simplify]: Simplify 1/2 into 1/2 5.058 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.059 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.059 * [taylor]: Taking taylor expansion of N in N 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify 1 into 1 5.059 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.059 * [taylor]: Taking taylor expansion of 1/2 in N 5.059 * [backup-simplify]: Simplify 1/2 into 1/2 5.059 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.061 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 5.061 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 5.063 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.064 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 5.065 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 5.068 * [backup-simplify]: Simplify 0 into 0 5.069 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 5.073 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 5.077 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))))) into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))))) into 0 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify (* (sqrt 1/2) (/ 1 N)) into (/ (sqrt 1/2) N) 5.086 * [backup-simplify]: Simplify (sqrt (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N))))) into (* N (sqrt 1/2)) 5.086 * [approximate]: Taking taylor expansion of (* N (sqrt 1/2)) in (N) around 0 5.086 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.086 * [taylor]: Taking taylor expansion of N in N 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify 1 into 1 5.086 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.086 * [taylor]: Taking taylor expansion of 1/2 in N 5.086 * [backup-simplify]: Simplify 1/2 into 1/2 5.087 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.087 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.087 * [taylor]: Taking taylor expansion of N in N 5.087 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 1 into 1 5.088 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.088 * [taylor]: Taking taylor expansion of 1/2 in N 5.088 * [backup-simplify]: Simplify 1/2 into 1/2 5.088 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.090 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 5.090 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 5.093 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.095 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 5.096 * [backup-simplify]: Simplify 0 into 0 5.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 5.099 * [backup-simplify]: Simplify 0 into 0 5.101 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 5.103 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 5.105 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))))) into 0 5.110 * [backup-simplify]: Simplify 0 into 0 5.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))))) into 0 5.113 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify (* (sqrt 1/2) (/ 1 (- N))) into (* -1 (/ (sqrt 1/2) N)) 5.114 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.114 * [backup-simplify]: Simplify (+ (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (/ (pow (sqrt 1/2) 2) (pow N 2))) 5.114 * [approximate]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (/ (pow (sqrt 1/2) 2) (pow N 2))) in (N) around 0 5.114 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (/ (pow (sqrt 1/2) 2) (pow N 2))) in N 5.114 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 5.114 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.114 * [taylor]: Taking taylor expansion of N in N 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 1 into 1 5.115 * [backup-simplify]: Simplify (/ 1 1) into 1 5.115 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 5.115 * [taylor]: Taking taylor expansion of 1/3 in N 5.115 * [backup-simplify]: Simplify 1/3 into 1/3 5.115 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.115 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.115 * [taylor]: Taking taylor expansion of N in N 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 1 into 1 5.115 * [backup-simplify]: Simplify (* 1 1) into 1 5.116 * [backup-simplify]: Simplify (* 1 1) into 1 5.116 * [backup-simplify]: Simplify (/ 1 1) into 1 5.116 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (pow N 2)) in N 5.116 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.116 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.116 * [taylor]: Taking taylor expansion of 1/2 in N 5.116 * [backup-simplify]: Simplify 1/2 into 1/2 5.117 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.117 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.117 * [taylor]: Taking taylor expansion of N in N 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 1 into 1 5.118 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 5.119 * [backup-simplify]: Simplify (* 1 1) into 1 5.120 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 5.120 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (/ (pow (sqrt 1/2) 2) (pow N 2))) in N 5.120 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 5.120 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.120 * [taylor]: Taking taylor expansion of N in N 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 1 into 1 5.121 * [backup-simplify]: Simplify (/ 1 1) into 1 5.121 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 5.121 * [taylor]: Taking taylor expansion of 1/3 in N 5.121 * [backup-simplify]: Simplify 1/3 into 1/3 5.121 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.121 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.121 * [taylor]: Taking taylor expansion of N in N 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 1 into 1 5.121 * [backup-simplify]: Simplify (* 1 1) into 1 5.122 * [backup-simplify]: Simplify (* 1 1) into 1 5.122 * [backup-simplify]: Simplify (/ 1 1) into 1 5.122 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (pow N 2)) in N 5.122 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.122 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.122 * [taylor]: Taking taylor expansion of 1/2 in N 5.122 * [backup-simplify]: Simplify 1/2 into 1/2 5.123 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.123 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.123 * [taylor]: Taking taylor expansion of N in N 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify 1 into 1 5.124 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 5.125 * [backup-simplify]: Simplify (* 1 1) into 1 5.126 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 5.127 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.127 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 5.127 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.127 * [backup-simplify]: Simplify 1/3 into 1/3 5.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.130 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 5.130 * [backup-simplify]: Simplify (+ 0 0) into 0 5.132 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 5.134 * [backup-simplify]: Simplify (+ 0 (- (pow (sqrt 1/2) 2))) into (- (pow (sqrt 1/2) 2)) 5.135 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 5.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.139 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 5.139 * [backup-simplify]: Simplify (+ 1 0) into 1 5.140 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 5.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)))) into 0 5.142 * [backup-simplify]: Simplify (- 0) into 0 5.142 * [backup-simplify]: Simplify (+ 1 0) into 1 5.142 * [backup-simplify]: Simplify 1 into 1 5.144 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* (- (pow (sqrt 1/2) 2)) (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (/ (pow (sqrt 1/2) 2) (pow N 2))) 5.145 * [backup-simplify]: Simplify (+ (/ 1/3 (* (* (/ 1 N) (/ 1 N)) (/ 1 N))) (* (+ (sqrt (/ 1 (/ 1 N))) (sqrt (/ 1/2 (* (/ 1 N) (/ 1 N))))) (- (sqrt (/ 1 (/ 1 N))) (sqrt (/ 1/2 (* (/ 1 N) (/ 1 N))))))) into (- (+ N (* 1/3 (pow N 3))) (* (pow N 2) (pow (sqrt 1/2) 2))) 5.145 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* (pow N 2) (pow (sqrt 1/2) 2))) in (N) around 0 5.145 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 5.145 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 5.145 * [taylor]: Taking taylor expansion of N in N 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.145 * [taylor]: Taking taylor expansion of 1/3 in N 5.145 * [backup-simplify]: Simplify 1/3 into 1/3 5.145 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.145 * [taylor]: Taking taylor expansion of N in N 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 5.145 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.145 * [taylor]: Taking taylor expansion of N in N 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.145 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.145 * [taylor]: Taking taylor expansion of 1/2 in N 5.145 * [backup-simplify]: Simplify 1/2 into 1/2 5.146 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.146 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 5.146 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 5.146 * [taylor]: Taking taylor expansion of N in N 5.146 * [backup-simplify]: Simplify 0 into 0 5.146 * [backup-simplify]: Simplify 1 into 1 5.146 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.146 * [taylor]: Taking taylor expansion of 1/3 in N 5.147 * [backup-simplify]: Simplify 1/3 into 1/3 5.147 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.147 * [taylor]: Taking taylor expansion of N in N 5.147 * [backup-simplify]: Simplify 0 into 0 5.147 * [backup-simplify]: Simplify 1 into 1 5.147 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 5.147 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.147 * [taylor]: Taking taylor expansion of N in N 5.147 * [backup-simplify]: Simplify 0 into 0 5.147 * [backup-simplify]: Simplify 1 into 1 5.147 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.147 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.147 * [taylor]: Taking taylor expansion of 1/2 in N 5.147 * [backup-simplify]: Simplify 1/2 into 1/2 5.147 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.148 * [backup-simplify]: Simplify (+ 0 0) into 0 5.149 * [backup-simplify]: Simplify (+ 0 0) into 0 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify (+ 1 0) into 1 5.149 * [backup-simplify]: Simplify (+ 1 0) into 1 5.149 * [backup-simplify]: Simplify 1 into 1 5.150 * [backup-simplify]: Simplify (+ 0 0) into 0 5.150 * [backup-simplify]: Simplify (* 1 1) into 1 5.151 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 5.153 * [backup-simplify]: Simplify (* 1 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 5.154 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 5.156 * [backup-simplify]: Simplify (+ 0 (- (pow (sqrt 1/2) 2))) into (- (pow (sqrt 1/2) 2)) 5.158 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 5.158 * [backup-simplify]: Simplify (* 1 1) into 1 5.158 * [backup-simplify]: Simplify (* 1 1) into 1 5.159 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.159 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 5.160 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 5.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 1/2) 2))) into 0 5.162 * [backup-simplify]: Simplify (- 0) into 0 5.162 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.162 * [backup-simplify]: Simplify 1/3 into 1/3 5.164 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* (- (pow (sqrt 1/2) 2)) (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (/ (pow (sqrt 1/2) 2) (pow N 2))) 5.165 * [backup-simplify]: Simplify (+ (/ 1/3 (* (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))) (* (+ (sqrt (/ 1 (/ 1 (- N)))) (sqrt (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))))) (- (sqrt (/ 1 (/ 1 (- N)))) (sqrt (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))))))) into (- (pow (sqrt (* -1 N)) 2) (+ (* 1/3 (pow N 3)) (* (pow N 2) (pow (sqrt 1/2) 2)))) 5.165 * [approximate]: Taking taylor expansion of (- (pow (sqrt (* -1 N)) 2) (+ (* 1/3 (pow N 3)) (* (pow N 2) (pow (sqrt 1/2) 2)))) in (N) around 0 5.165 * [taylor]: Taking taylor expansion of (- (pow (sqrt (* -1 N)) 2) (+ (* 1/3 (pow N 3)) (* (pow N 2) (pow (sqrt 1/2) 2)))) in N 5.165 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 N)) 2) in N 5.165 * [taylor]: Taking taylor expansion of (sqrt (* -1 N)) in N 5.165 * [taylor]: Taking taylor expansion of (* -1 N) in N 5.165 * [taylor]: Taking taylor expansion of -1 in N 5.165 * [backup-simplify]: Simplify -1 into -1 5.165 * [taylor]: Taking taylor expansion of N in N 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify 1 into 1 5.165 * [backup-simplify]: Simplify (* -1 0) into 0 5.166 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 5.166 * [backup-simplify]: Simplify (sqrt 0) into 0 5.168 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.168 * [taylor]: Taking taylor expansion of (+ (* 1/3 (pow N 3)) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 5.168 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.168 * [taylor]: Taking taylor expansion of 1/3 in N 5.168 * [backup-simplify]: Simplify 1/3 into 1/3 5.168 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.168 * [taylor]: Taking taylor expansion of N in N 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 1 into 1 5.168 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 5.168 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.168 * [taylor]: Taking taylor expansion of N in N 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify 1 into 1 5.169 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.169 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.169 * [taylor]: Taking taylor expansion of 1/2 in N 5.169 * [backup-simplify]: Simplify 1/2 into 1/2 5.169 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.170 * [taylor]: Taking taylor expansion of (- (pow (sqrt (* -1 N)) 2) (+ (* 1/3 (pow N 3)) (* (pow N 2) (pow (sqrt 1/2) 2)))) in N 5.170 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 N)) 2) in N 5.170 * [taylor]: Taking taylor expansion of (sqrt (* -1 N)) in N 5.170 * [taylor]: Taking taylor expansion of (* -1 N) in N 5.170 * [taylor]: Taking taylor expansion of -1 in N 5.170 * [backup-simplify]: Simplify -1 into -1 5.170 * [taylor]: Taking taylor expansion of N in N 5.170 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify 1 into 1 5.170 * [backup-simplify]: Simplify (* -1 0) into 0 5.171 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 5.171 * [backup-simplify]: Simplify (sqrt 0) into 0 5.173 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.173 * [taylor]: Taking taylor expansion of (+ (* 1/3 (pow N 3)) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 5.173 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.173 * [taylor]: Taking taylor expansion of 1/3 in N 5.173 * [backup-simplify]: Simplify 1/3 into 1/3 5.173 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.173 * [taylor]: Taking taylor expansion of N in N 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify 1 into 1 5.173 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 5.173 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.173 * [taylor]: Taking taylor expansion of N in N 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify 1 into 1 5.173 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.173 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.173 * [taylor]: Taking taylor expansion of 1/2 in N 5.173 * [backup-simplify]: Simplify 1/2 into 1/2 5.174 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.175 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 5.175 * [backup-simplify]: Simplify (* 1 1) into 1 5.176 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 5.178 * [backup-simplify]: Simplify (* 1 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 5.179 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 5.180 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 5.183 * [backup-simplify]: Simplify (+ +nan.0 (- (pow (sqrt 1/2) 2))) into (- (+ (pow (sqrt 1/2) 2) (- +nan.0))) 5.185 * [backup-simplify]: Simplify (- (+ (pow (sqrt 1/2) 2) (- +nan.0))) into (- (+ (pow (sqrt 1/2) 2) (- +nan.0))) 5.186 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 5.189 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.190 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 5.191 * [backup-simplify]: Simplify (* 1 1) into 1 5.191 * [backup-simplify]: Simplify (* 1 1) into 1 5.191 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.192 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 5.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 1/2) 2))) into 0 5.193 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.193 * [backup-simplify]: Simplify (- 1/3) into -1/3 5.194 * [backup-simplify]: Simplify (+ (- +nan.0) -1/3) into (- +nan.0) 5.194 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.195 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.199 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 5.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.200 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 5.201 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.201 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 5.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 5.205 * [backup-simplify]: Simplify (+ 0 0) into 0 5.205 * [backup-simplify]: Simplify (- 0) into 0 5.206 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 5.206 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.209 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 4)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (* (- (+ (pow (sqrt 1/2) 2) (- +nan.0))) (pow (/ 1 (- N)) 2)))) into (- (+ (* +nan.0 (/ 1 (pow N 4))) (- (/ (pow (sqrt 1/2) 2) (pow N 2)) (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 (pow N 2)))))))) 5.209 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1) 5.209 * [backup-simplify]: Simplify (/ 1/2 (* N N)) into (/ 1/2 (pow N 2)) 5.209 * [approximate]: Taking taylor expansion of (/ 1/2 (pow N 2)) in (N) around 0 5.209 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 5.209 * [taylor]: Taking taylor expansion of 1/2 in N 5.209 * [backup-simplify]: Simplify 1/2 into 1/2 5.209 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.209 * [taylor]: Taking taylor expansion of N in N 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 1 into 1 5.209 * [backup-simplify]: Simplify (* 1 1) into 1 5.210 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.210 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 5.210 * [taylor]: Taking taylor expansion of 1/2 in N 5.210 * [backup-simplify]: Simplify 1/2 into 1/2 5.210 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.210 * [taylor]: Taking taylor expansion of N in N 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 1 into 1 5.210 * [backup-simplify]: Simplify (* 1 1) into 1 5.210 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.210 * [backup-simplify]: Simplify 1/2 into 1/2 5.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.211 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.214 * [backup-simplify]: Simplify 0 into 0 5.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.215 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.218 * [backup-simplify]: Simplify 0 into 0 5.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.220 * [backup-simplify]: Simplify 0 into 0 5.220 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 5.220 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 N) (/ 1 N))) into (* 1/2 (pow N 2)) 5.220 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 5.220 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.220 * [taylor]: Taking taylor expansion of 1/2 in N 5.221 * [backup-simplify]: Simplify 1/2 into 1/2 5.221 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.221 * [taylor]: Taking taylor expansion of N in N 5.221 * [backup-simplify]: Simplify 0 into 0 5.221 * [backup-simplify]: Simplify 1 into 1 5.221 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.221 * [taylor]: Taking taylor expansion of 1/2 in N 5.221 * [backup-simplify]: Simplify 1/2 into 1/2 5.221 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.221 * [taylor]: Taking taylor expansion of N in N 5.221 * [backup-simplify]: Simplify 0 into 0 5.221 * [backup-simplify]: Simplify 1 into 1 5.221 * [backup-simplify]: Simplify (* 1 1) into 1 5.222 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.222 * [backup-simplify]: Simplify 1/2 into 1/2 5.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.223 * [backup-simplify]: Simplify 0 into 0 5.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.225 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.227 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.229 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.232 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.235 * [backup-simplify]: Simplify 0 into 0 5.235 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 5.235 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/2 (pow N 2)) 5.235 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 5.235 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.235 * [taylor]: Taking taylor expansion of 1/2 in N 5.235 * [backup-simplify]: Simplify 1/2 into 1/2 5.235 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.235 * [taylor]: Taking taylor expansion of N in N 5.235 * [backup-simplify]: Simplify 0 into 0 5.235 * [backup-simplify]: Simplify 1 into 1 5.235 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.235 * [taylor]: Taking taylor expansion of 1/2 in N 5.235 * [backup-simplify]: Simplify 1/2 into 1/2 5.235 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.236 * [taylor]: Taking taylor expansion of N in N 5.236 * [backup-simplify]: Simplify 0 into 0 5.236 * [backup-simplify]: Simplify 1 into 1 5.236 * [backup-simplify]: Simplify (* 1 1) into 1 5.236 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.236 * [backup-simplify]: Simplify 1/2 into 1/2 5.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.237 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.238 * [backup-simplify]: Simplify 0 into 0 5.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.240 * [backup-simplify]: Simplify 0 into 0 5.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.242 * [backup-simplify]: Simplify 0 into 0 5.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.243 * [backup-simplify]: Simplify 0 into 0 5.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.245 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (- N)) 2)) into (/ 1/2 (pow N 2)) 5.246 * * * [progress]: simplifying candidates 5.246 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 5.246 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 5.246 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 5.246 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 5.246 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 5.246 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 5.246 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 5.246 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 5.246 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 20 / 105 ] simplifiying candidate #real (real->posit16 (sqrt (/ 1/2 (* N N)))))))))> 5.247 * * * * [progress]: [ 21 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 24 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 5.247 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 36 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 40 / 105 ] simplifiying candidate #real (real->posit16 (sqrt (/ 1/2 (* N N)))))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))))> 5.248 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 45 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 5.248 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 67 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 68 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 5.249 * * * * [progress]: [ 70 / 105 ] simplifiying candidate #real (real->posit16 (+ (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))))))> 5.249 * * * * [progress]: [ 71 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 72 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 92 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 93 / 105 ] simplifiying candidate #real (real->posit16 (/ 1/2 (* N N)))))))))> 5.250 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 5.250 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 5.251 * * * * [progress]: [ 96 / 105 ] simplifiying candidate # 5.251 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 5.251 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 5.251 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 5.251 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 5.251 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 5.251 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 5.251 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 5.251 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 5.251 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 5.252 * [simplify]: Simplifying: (log (sqrt (/ 1/2 (* N N)))) (exp (sqrt (/ 1/2 (* N N)))) (* (cbrt (sqrt (/ 1/2 (* N N)))) (cbrt (sqrt (/ 1/2 (* N N))))) (cbrt (sqrt (/ 1/2 (* N N)))) (* (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (sqrt (/ 1/2 (* N N)))) (sqrt (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N))))) (sqrt (cbrt (/ 1/2 (* N N)))) (sqrt (sqrt (/ 1/2 (* N N)))) (sqrt (sqrt (/ 1/2 (* N N)))) (sqrt (/ (* (cbrt 1/2) (cbrt 1/2)) N)) (sqrt (/ (cbrt 1/2) N)) (sqrt (/ (sqrt 1/2) N)) (sqrt (/ (sqrt 1/2) N)) (sqrt (/ 1 N)) (sqrt (/ 1/2 N)) (sqrt 1) (sqrt (/ 1/2 (* N N))) (sqrt 1/2) (sqrt (/ 1 (* N N))) (sqrt 1/2) (sqrt (* N N)) (/ 1 2) (sqrt (sqrt (/ 1/2 (* N N)))) (sqrt (sqrt (/ 1/2 (* N N)))) (real->posit16 (sqrt (/ 1/2 (* N N)))) (log (sqrt (/ 1/2 (* N N)))) (exp (sqrt (/ 1/2 (* N N)))) (* (cbrt (sqrt (/ 1/2 (* N N)))) (cbrt (sqrt (/ 1/2 (* N N))))) (cbrt (sqrt (/ 1/2 (* N N)))) (* (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (sqrt (/ 1/2 (* N N)))) (sqrt (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N))))) (sqrt (cbrt (/ 1/2 (* N N)))) (sqrt (sqrt (/ 1/2 (* N N)))) (sqrt (sqrt (/ 1/2 (* N N)))) (sqrt (/ (* (cbrt 1/2) (cbrt 1/2)) N)) (sqrt (/ (cbrt 1/2) N)) (sqrt (/ (sqrt 1/2) N)) (sqrt (/ (sqrt 1/2) N)) (sqrt (/ 1 N)) (sqrt (/ 1/2 N)) (sqrt 1) (sqrt (/ 1/2 (* N N))) (sqrt 1/2) (sqrt (/ 1 (* N N))) (sqrt 1/2) (sqrt (* N N)) (/ 1 2) (sqrt (sqrt (/ 1/2 (* N N)))) (sqrt (sqrt (/ 1/2 (* N N)))) (real->posit16 (sqrt (/ 1/2 (* N N)))) (* (exp (/ 1/3 (* (* N N) N))) (exp (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (log (+ (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (exp (+ (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (* (cbrt (+ (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (cbrt (+ (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))))) (cbrt (+ (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (* (* (+ (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))) (+ (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (+ (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (sqrt (+ (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (sqrt (+ (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (+ (* 1/3 (* (* (sqrt N) (sqrt (* N N))) (* (sqrt N) (sqrt (* N N))))) (* (* (* N N) N) (* (+ (* (sqrt 1) (sqrt (* N N))) (* (sqrt N) (sqrt 1/2))) (- (* (sqrt 1) (sqrt (* N N))) (* (sqrt N) (sqrt 1/2)))))) (* (* (* N N) N) (* (* (sqrt N) (sqrt (* N N))) (* (sqrt N) (sqrt (* N N))))) (+ (* 1/3 (* (* (sqrt N) (sqrt (* N N))) (+ (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (+ (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))))) (* (* (* N N) N) (* (+ (* (sqrt 1) (sqrt (* N N))) (* (sqrt N) (sqrt 1/2))) (- (pow (sqrt (/ 1 N)) 3) (pow (sqrt (/ 1/2 (* N N))) 3))))) (* (* (* N N) N) (* (* (sqrt N) (sqrt (* N N))) (+ (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (+ (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))))) (+ (* 1/3 (* (* (sqrt N) (sqrt (* N N))) (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))) (* (* (* N N) N) (* (+ (* (sqrt 1) (sqrt (* N N))) (* (sqrt N) (sqrt 1/2))) (- (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))))))) (* (* (* N N) N) (* (* (sqrt N) (sqrt (* N N))) (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))) (+ (* 1/3 (* (+ (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (- (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))) (* (sqrt N) (sqrt (* N N))))) (* (* (* N N) N) (* (+ (pow (sqrt (/ 1 N)) 3) (pow (sqrt (/ 1/2 (* N N))) 3)) (- (* (sqrt 1) (sqrt (* N N))) (* (sqrt N) (sqrt 1/2)))))) (* (* (* N N) N) (* (+ (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (- (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))) (* (sqrt N) (sqrt (* N N))))) (+ (* 1/3 (* (+ (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (- (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))) (+ (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (+ (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))))) (* (* (* N N) N) (* (+ (pow (sqrt (/ 1 N)) 3) (pow (sqrt (/ 1/2 (* N N))) 3)) (- (pow (sqrt (/ 1 N)) 3) (pow (sqrt (/ 1/2 (* N N))) 3))))) (* (* (* N N) N) (* (+ (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (- (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))) (+ (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (+ (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))))) (+ (* 1/3 (* (+ (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (- (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))) (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))) (* (* (* N N) N) (* (+ (pow (sqrt (/ 1 N)) 3) (pow (sqrt (/ 1/2 (* N N))) 3)) (- (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))))))) (* (* (* N N) N) (* (+ (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (- (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))) (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))) (+ (* 1/3 (* (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (* (sqrt N) (sqrt (* N N))))) (* (* (* N N) N) (* (- (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))))) (- (* (sqrt 1) (sqrt (* N N))) (* (sqrt N) (sqrt 1/2)))))) (* (* (* N N) N) (* (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (* (sqrt N) (sqrt (* N N))))) (+ (* 1/3 (* (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (+ (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (+ (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))))) (* (* (* N N) N) (* (- (* (sqrt (/ 1 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(/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (* (* (* N N) N) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (pow (sqrt (/ 1 N)) 3) (pow (sqrt (/ 1/2 (* N N))) 3))))) (* (* (* N N) N) (+ (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (+ (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (+ (* 1/3 (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))) (* (* (* N N) N) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))))))) (* (* (* N N) N) (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))) (+ (* 1/3 (* (sqrt N) (sqrt (* N N)))) (* (* (* N N) N) (* (+ (* (sqrt 1) (sqrt (* N N))) (* (sqrt N) (sqrt 1/2))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (* (* (* N N) N) (* (sqrt N) (sqrt (* N N)))) (+ (* 1/3 (+ (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (- (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (* (* (* N N) N) (* (+ (pow (sqrt (/ 1 N)) 3) (pow (sqrt (/ 1/2 (* N N))) 3)) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (* (* (* N N) N) (+ (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (- (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))) (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (+ (* 1/3 (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))) (* (* (* N N) N) (* (- (* (sqrt (/ 1 N)) (sqrt (/ 1 N))) (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (* (* (* N N) N) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))) (+ (pow (/ 1/3 (* (* N N) N)) 3) (pow (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))) 3)) (+ (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N))) (- (* (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))) (* (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))))) (- (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N))) (* (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (- (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))) (+ (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (sqrt (/ 1 N)))) (+ (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (sqrt (/ 1 N)))) (+ (/ 1/3 (* (* N N) N)) (* (sqrt (/ 1 N)) (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))) (+ (/ 1/3 (* (* N N) N)) (* (sqrt (/ 1 N)) (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))))) (real->posit16 (+ (/ 1/3 (* (* N N) N)) (* (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))))) (- (log 1/2) (+ (log N) (log N))) (- (log 1/2) (log (* N N))) (log (/ 1/2 (* N N))) (exp (/ 1/2 (* N N))) (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) (cbrt (/ 1/2 (* N N))) (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) (- 1/2) (- (* N N)) (/ (* (cbrt 1/2) (cbrt 1/2)) N) (/ (cbrt 1/2) N) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (/ 1 N) (/ 1/2 N) (/ 1 (* N N)) (/ (* N N) 1/2) (/ 1/2 N) (/ (* N N) (cbrt 1/2)) (/ (* N N) (sqrt 1/2)) (/ (* N N) 1/2) (real->posit16 (/ 1/2 (* N N))) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (* -1 (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (* -1 (/ (sqrt 1/2) N)) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (/ (pow (sqrt 1/2) 2) (pow N 2))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (/ (pow (sqrt 1/2) 2) (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 4))) (- (/ (pow (sqrt 1/2) 2) (pow N 2)) (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 (pow N 2)))))))) (/ 1/2 (pow N 2)) (/ 1/2 (pow N 2)) (/ 1/2 (pow N 2)) 5.255 * * [simplify]: iteration 0: 218 enodes 5.323 * * [simplify]: iteration 1: 668 enodes 5.491 * * [simplify]: iteration complete: 2000 enodes 5.491 * * [simplify]: Extracting #0: cost 84 inf + 0 5.492 * * [simplify]: Extracting #1: cost 335 inf + 3 5.494 * * [simplify]: Extracting #2: cost 789 inf + 1984 5.498 * * [simplify]: Extracting #3: cost 898 inf + 17766 5.519 * * [simplify]: Extracting #4: cost 499 inf + 139581 5.574 * * [simplify]: Extracting #5: cost 62 inf + 305583 5.633 * * [simplify]: Extracting #6: cost 4 inf + 331884 5.711 * * [simplify]: Extracting #7: cost 2 inf + 331968 5.784 * * [simplify]: Extracting #8: cost 0 inf + 332636 5.864 * [simplify]: Simplified to: (log (sqrt (/ 1/2 (* N N)))) (exp (sqrt (/ 1/2 (* N N)))) (* (cbrt (sqrt (/ 1/2 (* N N)))) (cbrt (sqrt (/ 1/2 (* N N))))) (cbrt (sqrt (/ 1/2 (* N N)))) (* (sqrt (/ 1/2 (* N N))) (/ 1/2 (* N N))) (fabs (cbrt (/ 1/2 (* N N)))) (sqrt (cbrt (/ 1/2 (* N N)))) (sqrt (sqrt (/ 1/2 (* N N)))) (sqrt (sqrt (/ 1/2 (* N N)))) (sqrt (/ (cbrt 1/2) (/ N (cbrt 1/2)))) (sqrt (/ (cbrt 1/2) N)) (sqrt (/ 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N N))))) (exp (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (* (cbrt (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (* (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) (* (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (sqrt (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (sqrt (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (+ (* (* (* N N) N) 1/3) (* (* (+ (* (sqrt 1/2) (sqrt N)) (fabs N)) (- (fabs N) (* (sqrt 1/2) (sqrt N)))) (* (* N N) N))) (* (* (* N N) N) (* (* N N) N)) (+ (* (* (* N N) N) (* (- (* (sqrt (/ 1 N)) (/ 1 N)) (* (sqrt (/ 1/2 (* N N))) (/ 1/2 (* N N)))) (+ (* (sqrt 1/2) (sqrt N)) (fabs N)))) (* (* (* 1/3 (sqrt N)) (fabs N)) (+ (+ (/ 1/2 (* N N)) (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N))))) (/ 1 N)))) (* (* (* (* N N) N) (* (fabs N) (sqrt N))) (+ (+ (/ 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N) N))) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/3 (* (* N N) N))))) (- (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N))) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (- (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1/3 (* (* N N) N)) (+ (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (/ 1 N))) (+ (/ 1/3 (* (* N N) N)) (+ (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (/ 1 N))) (+ (/ 1/3 (* (* N N) N)) (+ (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (/ 1 N))) (+ (/ 1/3 (* (* N N) N)) (+ (* (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (/ 1 N))) (real->posit16 (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (log (/ 1/2 (* N N))) (log (/ 1/2 (* N N))) (log (/ 1/2 (* N N))) (exp (/ 1/2 (* N N))) (/ 1/8 (* (* (* N N) N) (* (* N N) N))) (/ 1/8 (* (* (* N N) N) (* (* N N) N))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) (cbrt (/ 1/2 (* N N))) (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) -1/2 (- (* N N)) (/ (cbrt 1/2) (/ N (cbrt 1/2))) (/ (cbrt 1/2) N) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (/ 1 N) (/ 1/2 N) (/ (/ 1 N) N) (/ (* N N) 1/2) (/ 1/2 N) (/ (* N N) (cbrt 1/2)) (/ (* N N) (sqrt 1/2)) (/ (* N N) 1/2) (real->posit16 (/ 1/2 (* N N))) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (- (/ (sqrt 1/2) N)) (+ (/ 1 N) (- (/ 1/3 (* (* N N) N)) (/ 1/2 (* N N)))) (+ (/ 1/3 (* (* N N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) (- (+ (/ +nan.0 (* (* N N) (* N N))) (- (/ 1/2 (* N N)) (- (/ +nan.0 (* (* N N) N)) (/ +nan.0 (* N N)))))) (/ 1/2 (* N N)) (/ 1/2 (* N N)) (/ 1/2 (* N N)) 5.887 * * * [progress]: adding candidates to table 6.361 * [progress]: [Phase 3 of 3] Extracting. 6.361 * * [regime]: Finding splitpoints for: (# # # #) 6.362 * * * [regime-changes]: Trying 1 branch expressions: (N) 6.362 * * * * [regimes]: Trying to branch on N from (# # # #) 6.402 * * * [regime]: Found split indices: #