0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.080 * * * [progress]: [2/2] Setting up program. 0.085 * [progress]: [Phase 2 of 3] Improving. 0.085 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.085 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.086 * * [simplify]: iteration 1: (6 enodes) 0.089 * * [simplify]: iteration 2: (23 enodes) 0.095 * * [simplify]: iteration 3: (28 enodes) 0.103 * * [simplify]: Extracting #0: cost 1 inf + 0 0.103 * * [simplify]: Extracting #1: cost 5 inf + 0 0.103 * * [simplify]: Extracting #2: cost 10 inf + 0 0.103 * * [simplify]: Extracting #3: cost 11 inf + 1 0.103 * * [simplify]: Extracting #4: cost 6 inf + 228 0.103 * * [simplify]: Extracting #5: cost 1 inf + 896 0.104 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.104 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.109 * * [progress]: iteration 1 / 4 0.109 * * * [progress]: picking best candidate 0.114 * * * * [pick]: Picked # 0.114 * * * [progress]: localizing error 0.137 * * * [progress]: generating rewritten candidates 0.137 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.141 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.149 * * * [progress]: generating series expansions 0.150 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.150 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.150 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.150 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.150 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.150 * [taylor]: Taking taylor expansion of N in N 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of 1 in N 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (+ 0 1) into 1 0.151 * [backup-simplify]: Simplify (log 1) into 0 0.151 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.151 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of 1 in N 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (+ 0 1) into 1 0.151 * [backup-simplify]: Simplify (log 1) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.154 * [backup-simplify]: Simplify -1/2 into -1/2 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [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 0.157 * [backup-simplify]: Simplify 1/3 into 1/3 0.157 * [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))) 0.158 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.158 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.158 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.158 * [taylor]: Taking taylor expansion of N in N 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [taylor]: Taking taylor expansion of 1 in N 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [backup-simplify]: Simplify (log 1) into 0 0.168 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [taylor]: Taking taylor expansion of 1 in N 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.169 * [backup-simplify]: Simplify (log 1) into 0 0.170 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.170 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 1) into 1 0.171 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.171 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.174 * [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 0.175 * [backup-simplify]: Simplify (log -1) into (log -1) 0.175 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.175 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.175 * [taylor]: Taking taylor expansion of 1 in N 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [backup-simplify]: Simplify (- 1) into -1 0.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.176 * [backup-simplify]: Simplify (log -1) into (log -1) 0.177 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.177 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (- 0) into 0 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.179 * [backup-simplify]: Simplify -1 into -1 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.182 * [backup-simplify]: Simplify -1/2 into -1/2 0.183 * [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)))) 0.183 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.183 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.183 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.183 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.183 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.183 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [taylor]: Taking taylor expansion of 1 in N 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (+ 0 1) into 1 0.183 * [backup-simplify]: Simplify (log 1) into 0 0.184 * [taylor]: Taking taylor expansion of (log N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (log 1) into 0 0.184 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.184 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.184 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [taylor]: Taking taylor expansion of 1 in N 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (+ 0 1) into 1 0.184 * [backup-simplify]: Simplify (log 1) into 0 0.184 * [taylor]: Taking taylor expansion of (log N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (log 1) into 0 0.185 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.185 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.185 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.185 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.186 * [backup-simplify]: Simplify (+ 1 0) into 1 0.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.193 * [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 0.194 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.194 * [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 0.196 * [taylor]: Taking taylor expansion of 1 in N 0.196 * [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 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [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 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [taylor]: Taking taylor expansion of 1 in N 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (+ 1 0) into 1 0.199 * [backup-simplify]: Simplify (log 1) into 0 0.199 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [backup-simplify]: Simplify (log 1) into 0 0.200 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.201 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.201 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.201 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 1) into 1 0.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.206 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.216 * [backup-simplify]: Simplify -1/2 into -1/2 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [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 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.232 * [backup-simplify]: Simplify 1/3 into 1/3 0.233 * [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)))) 0.233 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.233 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.233 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.233 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.233 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.233 * [taylor]: Taking taylor expansion of 1 in N 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.233 * [taylor]: Taking taylor expansion of N in N 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [backup-simplify]: Simplify (- 1) into -1 0.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.235 * [backup-simplify]: Simplify (log -1) into (log -1) 0.235 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.235 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.235 * [taylor]: Taking taylor expansion of -1 in N 0.235 * [backup-simplify]: Simplify -1 into -1 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ -1 1) into -1 0.236 * [backup-simplify]: Simplify (log -1) into (log -1) 0.236 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.236 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.236 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.236 * [taylor]: Taking taylor expansion of 1 in N 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [backup-simplify]: Simplify (- 1) into -1 0.238 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.238 * [backup-simplify]: Simplify (log -1) into (log -1) 0.238 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.238 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.238 * [taylor]: Taking taylor expansion of -1 in N 0.238 * [backup-simplify]: Simplify -1 into -1 0.238 * [taylor]: Taking taylor expansion of N in N 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (/ -1 1) into -1 0.239 * [backup-simplify]: Simplify (log -1) into (log -1) 0.240 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.241 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.242 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.243 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 1 0) into 1 0.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ -1 0) into -1 0.249 * [backup-simplify]: Simplify -1 into -1 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.259 * [backup-simplify]: Simplify -1/2 into -1/2 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [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 0.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [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 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.274 * [backup-simplify]: Simplify -1/3 into -1/3 0.274 * [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)))) 0.274 * * * [progress]: simplifying candidates 0.274 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 16 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.275 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.275 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 27 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.277 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.278 * [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)))) 0.279 * * [simplify]: iteration 1: (97 enodes) 0.324 * * [simplify]: iteration 2: (368 enodes) 0.402 * * [simplify]: iteration 3: (645 enodes) 0.627 * * [simplify]: iteration 4: (1240 enodes) 1.124 * * [simplify]: Extracting #0: cost 43 inf + 0 1.125 * * [simplify]: Extracting #1: cost 290 inf + 0 1.127 * * [simplify]: Extracting #2: cost 686 inf + 1711 1.132 * * [simplify]: Extracting #3: cost 709 inf + 15309 1.146 * * [simplify]: Extracting #4: cost 397 inf + 76288 1.211 * * [simplify]: Extracting #5: cost 74 inf + 175529 1.264 * * [simplify]: Extracting #6: cost 0 inf + 211592 1.322 * [simplify]: Simplified to: (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) (log 1) (log (+ 1 N)) (log 1) (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 (+ 1 N)) (+ (log N) (log (+ 1 N)))) (* (log N) (log 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) (cbrt N)))) (- (log (+ 1 N)) (log (sqrt N))) (- (log (+ 1 N)) (log 1)) (- (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 1/3) 1/2) (* N N)) N) (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))) (+ (log N) (- (+ (/ 1 N) 0) (/ 1/2 (* N N)))) (- (- N (log N)) (* (* 1/2 N) N)) (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) 1.327 * * * [progress]: adding candidates to table 1.936 * * [progress]: iteration 2 / 4 1.936 * * * [progress]: picking best candidate 1.958 * * * * [pick]: Picked # 1.958 * * * [progress]: localizing error 1.979 * * * [progress]: generating rewritten candidates 1.979 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.986 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.014 * * * [progress]: generating series expansions 2.014 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.014 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 2.014 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 2.014 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.014 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.014 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.014 * [taylor]: Taking taylor expansion of N in N 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of 1 in N 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of N in N 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (+ 0 1) into 1 2.015 * [backup-simplify]: Simplify (/ 1 1) into 1 2.016 * [backup-simplify]: Simplify (log 1) into 0 2.016 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.016 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.016 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.016 * [taylor]: Taking taylor expansion of N in N 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [taylor]: Taking taylor expansion of 1 in N 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [taylor]: Taking taylor expansion of N in N 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.017 * [backup-simplify]: Simplify (+ 0 1) into 1 2.017 * [backup-simplify]: Simplify (/ 1 1) into 1 2.017 * [backup-simplify]: Simplify (log 1) into 0 2.018 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.018 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.019 * [backup-simplify]: Simplify (+ 1 0) into 1 2.020 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.026 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (+ 0 0) into 0 2.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.032 * [backup-simplify]: Simplify -1/2 into -1/2 2.032 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 2.032 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 2.033 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 2.033 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.033 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.033 * [taylor]: Taking taylor expansion of N in N 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.033 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.033 * [taylor]: Taking taylor expansion of N in N 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [taylor]: Taking taylor expansion of 1 in N 2.033 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (+ 1 0) into 1 2.034 * [backup-simplify]: Simplify (* 0 1) into 0 2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (+ 0 1) into 1 2.036 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.036 * [backup-simplify]: Simplify (log 1) into 0 2.036 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.036 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.036 * [taylor]: Taking taylor expansion of N in N 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.037 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.037 * [taylor]: Taking taylor expansion of N in N 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (/ 1 1) into 1 2.037 * [taylor]: Taking taylor expansion of 1 in N 2.037 * [backup-simplify]: Simplify 1 into 1 2.038 * [backup-simplify]: Simplify (+ 1 0) into 1 2.038 * [backup-simplify]: Simplify (* 0 1) into 0 2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (+ 0 1) into 1 2.040 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.040 * [backup-simplify]: Simplify (log 1) into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ 0 0) into 0 2.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.043 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.043 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (+ 0 0) into 0 2.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.048 * [backup-simplify]: Simplify -1/2 into -1/2 2.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (+ 0 0) into 0 2.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.055 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 2.056 * [backup-simplify]: Simplify 1/3 into 1/3 2.056 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.056 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 2.056 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 2.056 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.056 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.056 * [taylor]: Taking taylor expansion of -1 in N 2.056 * [backup-simplify]: Simplify -1 into -1 2.056 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.056 * [taylor]: Taking taylor expansion of N in N 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.057 * [taylor]: Taking taylor expansion of 1 in N 2.057 * [backup-simplify]: Simplify 1 into 1 2.057 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.057 * [taylor]: Taking taylor expansion of N in N 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (/ 1 1) into 1 2.057 * [backup-simplify]: Simplify (- 1) into -1 2.058 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.058 * [backup-simplify]: Simplify (* 0 -1) into 0 2.059 * [backup-simplify]: Simplify (* -1 0) into 0 2.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (- 0) into 0 2.060 * [backup-simplify]: Simplify (+ 1 0) into 1 2.061 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.062 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.062 * [backup-simplify]: Simplify (log 1) into 0 2.062 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.062 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.062 * [taylor]: Taking taylor expansion of -1 in N 2.063 * [backup-simplify]: Simplify -1 into -1 2.063 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.063 * [taylor]: Taking taylor expansion of 1 in N 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.063 * [taylor]: Taking taylor expansion of N in N 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (/ 1 1) into 1 2.064 * [backup-simplify]: Simplify (- 1) into -1 2.064 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.065 * [backup-simplify]: Simplify (* 0 -1) into 0 2.066 * [backup-simplify]: Simplify (* -1 0) into 0 2.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.067 * [backup-simplify]: Simplify (- 0) into 0 2.067 * [backup-simplify]: Simplify (+ 1 0) into 1 2.068 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.069 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.069 * [backup-simplify]: Simplify (log 1) into 0 2.069 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.071 * [backup-simplify]: Simplify (- 0) into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.073 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.074 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.074 * [backup-simplify]: Simplify -1 into -1 2.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (- 0) into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.076 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.078 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.078 * [backup-simplify]: Simplify -1/2 into -1/2 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (- 0) into 0 2.079 * [backup-simplify]: Simplify (+ 0 0) into 0 2.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.081 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.084 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 2.084 * [backup-simplify]: Simplify -1/3 into -1/3 2.084 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.084 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.085 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 2.085 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 2.085 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.085 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.085 * [taylor]: Taking taylor expansion of N in N 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.085 * [taylor]: Taking taylor expansion of 1 in N 2.085 * [backup-simplify]: Simplify 1 into 1 2.085 * [taylor]: Taking taylor expansion of N in N 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.085 * [backup-simplify]: Simplify (+ 0 1) into 1 2.085 * [backup-simplify]: Simplify (/ 1 1) into 1 2.085 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.085 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.085 * [taylor]: Taking taylor expansion of N in N 2.085 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [taylor]: Taking taylor expansion of 1 in N 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [taylor]: Taking taylor expansion of N in N 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (+ 0 1) into 1 2.086 * [backup-simplify]: Simplify (/ 1 1) into 1 2.086 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (+ 1 0) into 1 2.087 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.087 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (+ 0 0) into 0 2.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (+ 0 0) into 0 2.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify (+ 0 0) into 0 2.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify (+ 0 0) into 0 2.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify (+ 0 0) into 0 2.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 2.093 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 2.093 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 2.093 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.093 * [taylor]: Taking taylor expansion of N in N 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.093 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.093 * [taylor]: Taking taylor expansion of N in N 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.093 * [backup-simplify]: Simplify (/ 1 1) into 1 2.093 * [taylor]: Taking taylor expansion of 1 in N 2.093 * [backup-simplify]: Simplify 1 into 1 2.093 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.093 * [taylor]: Taking taylor expansion of N in N 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.093 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.093 * [taylor]: Taking taylor expansion of N in N 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (/ 1 1) into 1 2.094 * [taylor]: Taking taylor expansion of 1 in N 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (+ 1 0) into 1 2.094 * [backup-simplify]: Simplify (* 0 1) into 0 2.094 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (+ 0 1) into 1 2.095 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.095 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.096 * [backup-simplify]: Simplify (+ 0 0) into 0 2.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.097 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (+ 0 0) into 0 2.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (+ 0 0) into 0 2.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.101 * [backup-simplify]: Simplify (+ 0 0) into 0 2.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (+ 0 0) into 0 2.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (+ 0 0) into 0 2.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (+ 0 0) into 0 2.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 2.110 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 2.110 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 2.110 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.110 * [taylor]: Taking taylor expansion of -1 in N 2.110 * [backup-simplify]: Simplify -1 into -1 2.110 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.110 * [taylor]: Taking taylor expansion of N in N 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.110 * [taylor]: Taking taylor expansion of 1 in N 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.110 * [taylor]: Taking taylor expansion of N in N 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (/ 1 1) into 1 2.111 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.111 * [taylor]: Taking taylor expansion of -1 in N 2.111 * [backup-simplify]: Simplify -1 into -1 2.111 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.111 * [taylor]: Taking taylor expansion of N in N 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.111 * [taylor]: Taking taylor expansion of 1 in N 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.111 * [taylor]: Taking taylor expansion of N in N 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.112 * [backup-simplify]: Simplify (- 1) into -1 2.112 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.113 * [backup-simplify]: Simplify (* 0 -1) into 0 2.113 * [backup-simplify]: Simplify (* -1 0) into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (- 0) into 0 2.114 * [backup-simplify]: Simplify (+ 1 0) into 1 2.115 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.116 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.116 * [backup-simplify]: Simplify 1 into 1 2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify (- 0) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.119 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.119 * [backup-simplify]: Simplify -1 into -1 2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.121 * [backup-simplify]: Simplify (- 0) into 0 2.121 * [backup-simplify]: Simplify (+ 0 0) into 0 2.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.123 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (- 0) into 0 2.125 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.128 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.128 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (- 0) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.133 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.135 * [backup-simplify]: Simplify (- 0) into 0 2.135 * [backup-simplify]: Simplify (+ 0 0) into 0 2.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.138 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.140 * [backup-simplify]: Simplify (- 0) into 0 2.140 * [backup-simplify]: Simplify (+ 0 0) into 0 2.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.144 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 2.144 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.151 * [backup-simplify]: Simplify (- 0) into 0 2.152 * [backup-simplify]: Simplify (+ 0 0) into 0 2.154 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 2.156 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 2.156 * * * [progress]: simplifying candidates 2.156 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 2.156 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 2.156 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 2.156 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 2.156 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 2.156 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 2.156 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 2.156 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 2.156 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 2.157 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 2.157 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 2.158 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 2.158 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 2.159 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 2.159 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 2.159 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 2.159 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 2.159 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log 1) (log (/ (+ N 1) N)) (log (+ N 1)) (log (/ 1 N)) (log (+ N 1)) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (exp (log (/ (+ N 1) N))) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (- (log (+ N 1)) (log N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (/ (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (- (+ N 1)) (- N) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ N 1)) (sqrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1) (/ (cbrt (+ N 1)) N) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) 1) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (/ (+ N 1) 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (* N (+ (* N N) (- (* 1 1) (* N 1)))) (* N (- N 1)) (real->posit16 (/ (+ N 1) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 2.160 * * [simplify]: iteration 1: (102 enodes) 2.187 * * [simplify]: iteration 2: (400 enodes) 2.322 * * [simplify]: iteration 3: (798 enodes) 2.660 * * [simplify]: iteration 4: (1816 enodes) 3.994 * * [simplify]: Extracting #0: cost 65 inf + 0 3.996 * * [simplify]: Extracting #1: cost 363 inf + 2 4.001 * * [simplify]: Extracting #2: cost 828 inf + 3911 4.024 * * [simplify]: Extracting #3: cost 608 inf + 67799 4.074 * * [simplify]: Extracting #4: cost 191 inf + 158993 4.112 * * [simplify]: Extracting #5: cost 83 inf + 197128 4.180 * * [simplify]: Extracting #6: cost 7 inf + 240822 4.267 * * [simplify]: Extracting #7: cost 0 inf + 244972 4.334 * [simplify]: Simplified to: (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (+ (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N)))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log (+ 1 N)) (- (log N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 1 N) N) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- (- N) 1) (- N) (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (+ N (* (- (* N N) N) N)) (- (* N N) N) (real->posit16 (/ (+ 1 N) N)) (- (- N (log N)) (* N (* N 1/2))) (- (+ (/ 1 N) (/ 1/3 (* N (* N N)))) (/ 1/2 (* N N))) (- (+ (/ 1 N) (/ 1/3 (* N (* N N)))) (/ 1/2 (* N N))) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) 4.338 * * * [progress]: adding candidates to table 4.877 * * [progress]: iteration 3 / 4 4.877 * * * [progress]: picking best candidate 4.902 * * * * [pick]: Picked # 4.902 * * * [progress]: localizing error 4.974 * * * [progress]: generating rewritten candidates 4.974 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.034 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 5.045 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 5.066 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 5.115 * * * [progress]: generating series expansions 5.115 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.116 * [backup-simplify]: Simplify (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))) into (+ (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))))) 5.116 * [approximate]: Taking taylor expansion of (+ (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))))) in (N) around 0 5.116 * [taylor]: Taking taylor expansion of (+ (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))))) in N 5.116 * [taylor]: Taking taylor expansion of (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) in N 5.116 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 1/3) (sqrt (/ 1 N))) in N 5.116 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 5.116 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 5.116 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 5.116 * [taylor]: Taking taylor expansion of 1/3 in N 5.116 * [backup-simplify]: Simplify 1/3 into 1/3 5.116 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.116 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.116 * [taylor]: Taking taylor expansion of N in N 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 1 into 1 5.116 * [taylor]: Taking taylor expansion of 1 in N 5.116 * [backup-simplify]: Simplify 1 into 1 5.117 * [backup-simplify]: Simplify (+ 0 1) into 1 5.118 * [backup-simplify]: Simplify (log 1) into 0 5.118 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.119 * [backup-simplify]: Simplify (+ 1 0) into 1 5.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.120 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.121 * [backup-simplify]: Simplify (exp 0) into 1 5.121 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.121 * [taylor]: Taking taylor expansion of (/ 1 N) 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 (sqrt 0) into 0 5.123 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.124 * [backup-simplify]: Simplify (* 1 0) into 0 5.125 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 5.131 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1/3 0)) into (- +nan.0) 5.132 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.132 * [taylor]: Taking taylor expansion of (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))) in N 5.132 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in N 5.132 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 5.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 5.132 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 5.132 * [taylor]: Taking taylor expansion of 1/3 in N 5.132 * [backup-simplify]: Simplify 1/3 into 1/3 5.132 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 5.132 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 5.132 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.132 * [taylor]: Taking taylor expansion of N in N 5.132 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify 1 into 1 5.132 * [taylor]: Taking taylor expansion of 1 in N 5.132 * [backup-simplify]: Simplify 1 into 1 5.133 * [backup-simplify]: Simplify (+ 0 1) into 1 5.133 * [backup-simplify]: Simplify (* 1 1) into 1 5.133 * [backup-simplify]: Simplify (log 1) into 0 5.134 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.134 * [backup-simplify]: Simplify (+ 1 0) into 1 5.134 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.135 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 5.135 * [backup-simplify]: Simplify (exp 0) into 1 5.135 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.135 * [taylor]: Taking taylor expansion of N in N 5.135 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify 1 into 1 5.136 * [backup-simplify]: Simplify (/ 1 1) into 1 5.136 * [backup-simplify]: Simplify (sqrt 0) into 0 5.137 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.137 * [backup-simplify]: Simplify (* 1 0) into 0 5.138 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 5.139 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 2/3 0)) into (- +nan.0) 5.139 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.139 * [taylor]: Taking taylor expansion of (+ (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))))) in N 5.139 * [taylor]: Taking taylor expansion of (log (* (pow (+ N 1) 1/3) (sqrt (/ 1 N)))) in N 5.139 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 1/3) (sqrt (/ 1 N))) in N 5.139 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 5.139 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 5.139 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 5.139 * [taylor]: Taking taylor expansion of 1/3 in N 5.139 * [backup-simplify]: Simplify 1/3 into 1/3 5.139 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.139 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.139 * [taylor]: Taking taylor expansion of N in N 5.139 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify 1 into 1 5.139 * [taylor]: Taking taylor expansion of 1 in N 5.140 * [backup-simplify]: Simplify 1 into 1 5.140 * [backup-simplify]: Simplify (+ 0 1) into 1 5.140 * [backup-simplify]: Simplify (log 1) into 0 5.140 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.141 * [backup-simplify]: Simplify (+ 1 0) into 1 5.141 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.142 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.142 * [backup-simplify]: Simplify (exp 0) into 1 5.142 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.142 * [taylor]: Taking taylor expansion of N in N 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [backup-simplify]: Simplify 1 into 1 5.142 * [backup-simplify]: Simplify (/ 1 1) into 1 5.142 * [backup-simplify]: Simplify (sqrt 0) into 0 5.143 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.143 * [backup-simplify]: Simplify (* 1 0) into 0 5.144 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 5.145 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1/3 0)) into (- +nan.0) 5.146 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.146 * [taylor]: Taking taylor expansion of (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))) in N 5.146 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in N 5.146 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 5.146 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 5.146 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 5.146 * [taylor]: Taking taylor expansion of 1/3 in N 5.146 * [backup-simplify]: Simplify 1/3 into 1/3 5.146 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 5.146 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 5.146 * [taylor]: Taking taylor expansion of (+ N 1) 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 in N 5.146 * [backup-simplify]: Simplify 1 into 1 5.146 * [backup-simplify]: Simplify (+ 0 1) into 1 5.146 * [backup-simplify]: Simplify (* 1 1) into 1 5.147 * [backup-simplify]: Simplify (log 1) into 0 5.147 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.147 * [backup-simplify]: Simplify (+ 1 0) into 1 5.148 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.149 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 5.149 * [backup-simplify]: Simplify (exp 0) into 1 5.149 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.149 * [taylor]: Taking taylor expansion of N in N 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify 1 into 1 5.149 * [backup-simplify]: Simplify (/ 1 1) into 1 5.150 * [backup-simplify]: Simplify (sqrt 0) into 0 5.151 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.151 * [backup-simplify]: Simplify (* 1 0) into 0 5.151 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 5.152 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 2/3 0)) into (- +nan.0) 5.153 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.154 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (log (- +nan.0))) into (* 2 (log (- +nan.0))) 5.155 * [backup-simplify]: Simplify (* 2 (log (- +nan.0))) into (* 2 (log (- +nan.0))) 5.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.158 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.159 * [backup-simplify]: Simplify (+ 0 0) into 0 5.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.163 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 5.165 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 5.168 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1/3 +nan.0) (* -1/9 0))) into (- +nan.0) 5.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.180 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.181 * [backup-simplify]: Simplify (+ 0 0) into 0 5.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 5.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.185 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 0))) into -1/3 5.187 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into -1/9 5.191 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 2/3 +nan.0) (* -1/9 0))) into (- +nan.0) 5.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.200 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.201 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.207 * [backup-simplify]: Simplify (+ 0 0) into 0 5.212 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 5.214 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/9 5.219 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow 1/9 1) 1)))) into 5/81 5.224 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1/3 +nan.0) (+ (* -1/9 +nan.0) (* 5/81 0)))) into (- +nan.0) 5.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 5.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.248 * [backup-simplify]: Simplify (+ 0 0) into 0 5.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.254 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 2/3 5.256 * [backup-simplify]: Simplify (+ (* 1/3 2/3) (+ (* 0 -1) (+ (* 0 2) (* 0 0)))) into 2/9 5.266 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 3) 6)) (* (/ (pow 2/3 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow 2/9 1) 1)))) into 4/81 5.272 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 2/3 +nan.0) (+ (* -1/9 +nan.0) (* 4/81 0)))) into (- +nan.0) 5.290 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 5.290 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.291 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.293 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (* 2 (log (- +nan.0))))) into (- (* 2 (log (- +nan.0))) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 5.294 * [backup-simplify]: Simplify (+ (log (/ (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (sqrt (/ 1 N)))) (log (/ (cbrt (+ (/ 1 N) 1)) (sqrt (/ 1 N))))) into (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)))) 5.294 * [approximate]: Taking taylor expansion of (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)))) in (N) around 0 5.294 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)))) in N 5.294 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) in N 5.294 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in N 5.294 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.294 * [taylor]: Taking taylor expansion of N in N 5.294 * [backup-simplify]: Simplify 0 into 0 5.294 * [backup-simplify]: Simplify 1 into 1 5.294 * [backup-simplify]: Simplify (sqrt 0) into 0 5.296 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.296 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 5.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 5.296 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 5.296 * [taylor]: Taking taylor expansion of 1/3 in N 5.296 * [backup-simplify]: Simplify 1/3 into 1/3 5.296 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 5.296 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 5.296 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.296 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.296 * [taylor]: Taking taylor expansion of N in N 5.296 * [backup-simplify]: Simplify 0 into 0 5.296 * [backup-simplify]: Simplify 1 into 1 5.296 * [backup-simplify]: Simplify (/ 1 1) into 1 5.296 * [taylor]: Taking taylor expansion of 1 in N 5.296 * [backup-simplify]: Simplify 1 into 1 5.297 * [backup-simplify]: Simplify (+ 1 0) into 1 5.297 * [backup-simplify]: Simplify (* 1 1) into 1 5.297 * [backup-simplify]: Simplify (log 1) into 0 5.298 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.298 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.298 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.298 * [backup-simplify]: Simplify (* 0 (pow N -2/3)) into 0 5.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.299 * [backup-simplify]: Simplify (+ 0 1) into 1 5.299 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.300 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.300 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log N))))) into 2/3 5.301 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 5.301 * [backup-simplify]: Simplify (+ (* 0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.301 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) into (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 5.301 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3))) in N 5.301 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)) in N 5.301 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.301 * [taylor]: Taking taylor expansion of N in N 5.301 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify 1 into 1 5.301 * [backup-simplify]: Simplify (sqrt 0) into 0 5.302 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.302 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 5.302 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 5.302 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 5.302 * [taylor]: Taking taylor expansion of 1/3 in N 5.302 * [backup-simplify]: Simplify 1/3 into 1/3 5.302 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.302 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.302 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.302 * [taylor]: Taking taylor expansion of N in N 5.302 * [backup-simplify]: Simplify 0 into 0 5.302 * [backup-simplify]: Simplify 1 into 1 5.303 * [backup-simplify]: Simplify (/ 1 1) into 1 5.303 * [taylor]: Taking taylor expansion of 1 in N 5.303 * [backup-simplify]: Simplify 1 into 1 5.303 * [backup-simplify]: Simplify (+ 1 0) into 1 5.303 * [backup-simplify]: Simplify (log 1) into 0 5.304 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.304 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.304 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.304 * [backup-simplify]: Simplify (* 0 (pow N -1/3)) into 0 5.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.305 * [backup-simplify]: Simplify (+ 0 1) into 1 5.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.306 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.306 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 5.306 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 5.307 * [backup-simplify]: Simplify (+ (* 0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 5.307 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) into (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) 5.307 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)))) in N 5.307 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) in N 5.307 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in N 5.307 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.307 * [taylor]: Taking taylor expansion of N in N 5.307 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify 1 into 1 5.307 * [backup-simplify]: Simplify (sqrt 0) into 0 5.308 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.308 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 5.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 5.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 5.308 * [taylor]: Taking taylor expansion of 1/3 in N 5.308 * [backup-simplify]: Simplify 1/3 into 1/3 5.308 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 5.308 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 5.308 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.308 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.308 * [taylor]: Taking taylor expansion of N in N 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify 1 into 1 5.308 * [backup-simplify]: Simplify (/ 1 1) into 1 5.308 * [taylor]: Taking taylor expansion of 1 in N 5.308 * [backup-simplify]: Simplify 1 into 1 5.309 * [backup-simplify]: Simplify (+ 1 0) into 1 5.309 * [backup-simplify]: Simplify (* 1 1) into 1 5.309 * [backup-simplify]: Simplify (log 1) into 0 5.309 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.309 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.310 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.310 * [backup-simplify]: Simplify (* 0 (pow N -2/3)) into 0 5.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.310 * [backup-simplify]: Simplify (+ 0 1) into 1 5.311 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.312 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.312 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log N))))) into 2/3 5.313 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 5.313 * [backup-simplify]: Simplify (+ (* 0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.313 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) into (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 5.313 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3))) in N 5.313 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)) in N 5.313 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.313 * [taylor]: Taking taylor expansion of N in N 5.313 * [backup-simplify]: Simplify 0 into 0 5.313 * [backup-simplify]: Simplify 1 into 1 5.313 * [backup-simplify]: Simplify (sqrt 0) into 0 5.314 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.314 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 5.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 5.314 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 5.314 * [taylor]: Taking taylor expansion of 1/3 in N 5.314 * [backup-simplify]: Simplify 1/3 into 1/3 5.314 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.314 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.314 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.314 * [taylor]: Taking taylor expansion of N in N 5.314 * [backup-simplify]: Simplify 0 into 0 5.314 * [backup-simplify]: Simplify 1 into 1 5.315 * [backup-simplify]: Simplify (/ 1 1) into 1 5.315 * [taylor]: Taking taylor expansion of 1 in N 5.315 * [backup-simplify]: Simplify 1 into 1 5.315 * [backup-simplify]: Simplify (+ 1 0) into 1 5.315 * [backup-simplify]: Simplify (log 1) into 0 5.315 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.315 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.316 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.316 * [backup-simplify]: Simplify (* 0 (pow N -1/3)) into 0 5.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.316 * [backup-simplify]: Simplify (+ 0 1) into 1 5.317 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.317 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.318 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 5.318 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 5.318 * [backup-simplify]: Simplify (+ (* 0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 5.318 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) into (log (- (* +nan.0 (pow (/ 1 N) 1/3)))) 5.319 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) into (+ (log N) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) 5.319 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- (* +nan.0 (pow (/ 1 N) 1/3))))) into (+ (log N) (log (- (* +nan.0 (pow (/ 1 N) 1/3))))) 5.320 * [backup-simplify]: Simplify (+ (+ (log N) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) (+ (log N) (log (- (* +nan.0 (pow (/ 1 N) 1/3)))))) into (+ (* 2 (log N)) (+ (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) (log (- (* +nan.0 (pow (/ 1 N) 1/3)))))) 5.320 * [backup-simplify]: Simplify (+ (* 2 (log N)) (+ (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) (log (- (* +nan.0 (pow (/ 1 N) 1/3)))))) into (+ (* 2 (log N)) (+ (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) (log (- (* +nan.0 (pow (/ 1 N) 1/3)))))) 5.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.321 * [backup-simplify]: Simplify (+ 0 0) into 0 5.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 5.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.323 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.324 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 5.325 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.327 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.327 * [backup-simplify]: Simplify (+ (* 0 (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3)))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 1)))) 1) into +nan.0 5.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.328 * [backup-simplify]: Simplify (+ 0 0) into 0 5.331 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.331 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.332 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 5.334 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 5.337 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.338 * [backup-simplify]: Simplify (+ (* 0 (* -1/9 (pow (/ 1 N) 1/3))) (+ (* +nan.0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3)))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 5.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 N) 1/3)))) 1)) (pow (- (* +nan.0 (pow (/ 1 N) 1/3))) 1)))) 1) into +nan.0 5.339 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.339 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.341 * [backup-simplify]: Simplify (+ 0 0) into 0 5.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.347 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 2/3 5.347 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.349 * [backup-simplify]: Simplify (+ (* 1/3 2/3) (+ (* 0 -1) (+ (* 0 2) (* 0 (- (* 2 (log N))))))) into 2/9 5.352 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 3) 6)) (* (/ (pow 2/3 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 2/9 1) 1)))) into (* 4/81 (pow (/ 1 (pow N 2)) 1/3)) 5.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.358 * [backup-simplify]: Simplify (+ (* 0 (* 4/81 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.359 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 2)) (pow (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 1)))) 2) into +nan.0 5.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.360 * [backup-simplify]: Simplify (+ 0 0) into 0 5.365 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 5.366 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.368 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (log N)))))) into 1/9 5.371 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/6) 1) 1)) (* (/ (pow 1/9 1) 1)))) into (* 5/81 (pow (/ 1 N) 1/3)) 5.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.377 * [backup-simplify]: Simplify (+ (* 0 (* 5/81 (pow (/ 1 N) 1/3))) (+ (* +nan.0 (* -1/9 (pow (/ 1 N) 1/3))) (+ (* +nan.0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3))))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 5.378 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 N) 1/3)))) 2)) (pow (- (* +nan.0 (pow (/ 1 N) 1/3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (/ 1 N) 1/3)))) 1)) (pow (- (* +nan.0 (pow (/ 1 N) 1/3))) 1)))) 2) into +nan.0 5.378 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.379 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.380 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (* 2 (log (/ 1 N))) (+ (log (- (* +nan.0 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)))) (log (- (* +nan.0 (pow (/ 1 (/ 1 N)) 1/3)))))))) into (- (+ (* 2 (log (/ 1 N))) (+ (log (- (* +nan.0 (pow N 1/3)))) (log (- (* +nan.0 (pow (pow N 2) 1/3)))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.381 * [backup-simplify]: Simplify (+ (log (/ (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (sqrt (/ 1 (- N))))) (log (/ (cbrt (+ (/ 1 (- N)) 1)) (sqrt (/ 1 (- N)))))) into (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))))) 5.381 * [approximate]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))))) in (N) around 0 5.381 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))))) in N 5.381 * [taylor]: Taking taylor expansion of (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) in N 5.381 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 5.381 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 5.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 5.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 5.381 * [taylor]: Taking taylor expansion of 1/3 in N 5.381 * [backup-simplify]: Simplify 1/3 into 1/3 5.381 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 5.381 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 5.381 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.381 * [taylor]: Taking taylor expansion of 1 in N 5.381 * [backup-simplify]: Simplify 1 into 1 5.381 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.381 * [taylor]: Taking taylor expansion of N in N 5.381 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify 1 into 1 5.382 * [backup-simplify]: Simplify (/ 1 1) into 1 5.382 * [backup-simplify]: Simplify (- 1) into -1 5.383 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.383 * [backup-simplify]: Simplify (* -1 -1) into 1 5.384 * [backup-simplify]: Simplify (log 1) into 0 5.384 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.384 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.385 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.385 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.385 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.385 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.385 * [taylor]: Taking taylor expansion of -1 in N 5.385 * [backup-simplify]: Simplify -1 into -1 5.385 * [taylor]: Taking taylor expansion of N in N 5.385 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify 1 into 1 5.385 * [backup-simplify]: Simplify (/ -1 1) into -1 5.386 * [backup-simplify]: Simplify (sqrt 0) into 0 5.387 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.388 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.388 * [backup-simplify]: Simplify (* (pow N -2/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 5.388 * [backup-simplify]: Simplify (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.388 * [taylor]: Taking taylor expansion of (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N))))) in N 5.388 * [taylor]: Taking taylor expansion of (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 5.388 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 5.388 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 5.388 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 5.388 * [taylor]: Taking taylor expansion of 1/3 in N 5.388 * [backup-simplify]: Simplify 1/3 into 1/3 5.388 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.388 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.388 * [taylor]: Taking taylor expansion of 1 in N 5.388 * [backup-simplify]: Simplify 1 into 1 5.388 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.388 * [taylor]: Taking taylor expansion of N in N 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 1 into 1 5.389 * [backup-simplify]: Simplify (/ 1 1) into 1 5.389 * [backup-simplify]: Simplify (- 1) into -1 5.390 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.390 * [backup-simplify]: Simplify (log -1) into (log -1) 5.391 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.391 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 5.392 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.392 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.392 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.392 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.392 * [taylor]: Taking taylor expansion of -1 in N 5.392 * [backup-simplify]: Simplify -1 into -1 5.392 * [taylor]: Taking taylor expansion of N in N 5.392 * [backup-simplify]: Simplify 0 into 0 5.392 * [backup-simplify]: Simplify 1 into 1 5.393 * [backup-simplify]: Simplify (/ -1 1) into -1 5.401 * [backup-simplify]: Simplify (sqrt 0) into 0 5.403 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.403 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.404 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) +nan.0) into (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 5.404 * [backup-simplify]: Simplify (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) into (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 5.404 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))))) in N 5.405 * [taylor]: Taking taylor expansion of (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) in N 5.405 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 5.405 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 5.405 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 5.405 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 5.405 * [taylor]: Taking taylor expansion of 1/3 in N 5.405 * [backup-simplify]: Simplify 1/3 into 1/3 5.405 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 5.405 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 5.405 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.405 * [taylor]: Taking taylor expansion of 1 in N 5.405 * [backup-simplify]: Simplify 1 into 1 5.405 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.405 * [taylor]: Taking taylor expansion of N in N 5.405 * [backup-simplify]: Simplify 0 into 0 5.405 * [backup-simplify]: Simplify 1 into 1 5.405 * [backup-simplify]: Simplify (/ 1 1) into 1 5.406 * [backup-simplify]: Simplify (- 1) into -1 5.406 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.407 * [backup-simplify]: Simplify (* -1 -1) into 1 5.407 * [backup-simplify]: Simplify (log 1) into 0 5.407 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.408 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.408 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.408 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.408 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.408 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.408 * [taylor]: Taking taylor expansion of -1 in N 5.408 * [backup-simplify]: Simplify -1 into -1 5.408 * [taylor]: Taking taylor expansion of N in N 5.408 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify 1 into 1 5.408 * [backup-simplify]: Simplify (/ -1 1) into -1 5.409 * [backup-simplify]: Simplify (sqrt 0) into 0 5.410 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.411 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.411 * [backup-simplify]: Simplify (* (pow N -2/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 5.411 * [backup-simplify]: Simplify (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.411 * [taylor]: Taking taylor expansion of (log (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N))))) in N 5.411 * [taylor]: Taking taylor expansion of (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 5.411 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 5.411 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 5.411 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 5.411 * [taylor]: Taking taylor expansion of 1/3 in N 5.411 * [backup-simplify]: Simplify 1/3 into 1/3 5.411 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.411 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.411 * [taylor]: Taking taylor expansion of 1 in N 5.411 * [backup-simplify]: Simplify 1 into 1 5.411 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.411 * [taylor]: Taking taylor expansion of N in N 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify 1 into 1 5.412 * [backup-simplify]: Simplify (/ 1 1) into 1 5.412 * [backup-simplify]: Simplify (- 1) into -1 5.413 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.413 * [backup-simplify]: Simplify (log -1) into (log -1) 5.414 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.414 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 5.415 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.415 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.415 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.415 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.415 * [taylor]: Taking taylor expansion of -1 in N 5.415 * [backup-simplify]: Simplify -1 into -1 5.415 * [taylor]: Taking taylor expansion of N in N 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 1 into 1 5.415 * [backup-simplify]: Simplify (/ -1 1) into -1 5.416 * [backup-simplify]: Simplify (sqrt 0) into 0 5.417 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.418 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.418 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) +nan.0) into (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 5.419 * [backup-simplify]: Simplify (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) into (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 5.420 * [backup-simplify]: Simplify (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) into (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) 5.420 * [backup-simplify]: Simplify (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) into (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) 5.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.424 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.426 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.428 * [backup-simplify]: Simplify (- 0) into 0 5.428 * [backup-simplify]: Simplify (+ 1 0) into 1 5.429 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 5.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 5.431 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.432 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 2 (log N))))) into (- 2/3) 5.433 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) 5.433 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (- +nan.0)) (* (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) +nan.0)) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 1)))) 1) into +nan.0 5.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.438 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.440 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.441 * [backup-simplify]: Simplify (- 0) into 0 5.442 * [backup-simplify]: Simplify (+ 1 0) into 1 5.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.444 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.445 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 5.446 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 5.448 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (- +nan.0)) (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) +nan.0)) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 5.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) 1)) (pow (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 1)))) 1) into +nan.0 5.449 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.450 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.459 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.460 * [backup-simplify]: Simplify (- 0) into 0 5.461 * [backup-simplify]: Simplify (+ 0 0) into 0 5.462 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 5.465 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.466 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.467 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 5.469 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.470 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (- +nan.0)) (+ (* (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) (- +nan.0)) (* (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) +nan.0))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.471 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 2)) (pow (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 1)))) 2) into +nan.0 5.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.480 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.481 * [backup-simplify]: Simplify (- 0) into 0 5.482 * [backup-simplify]: Simplify (+ 0 0) into 0 5.485 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.485 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.487 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 5.489 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 5.492 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (- +nan.0)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (- +nan.0)) (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) +nan.0))) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 5.494 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) 2)) (pow (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))))) 1)) (pow (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 1)))) 2) into +nan.0 5.494 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.495 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.496 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (* +nan.0 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))))))) into (- (+ (log (* +nan.0 (pow (pow N 2) 1/3))) (log (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ -1 N)))))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.496 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 5.497 * [backup-simplify]: Simplify (/ (cbrt (+ N 1)) (sqrt N)) into (* (pow (+ N 1) 1/3) (sqrt (/ 1 N))) 5.497 * [approximate]: Taking taylor expansion of (* (pow (+ N 1) 1/3) (sqrt (/ 1 N))) in (N) around 0 5.497 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 1/3) (sqrt (/ 1 N))) in N 5.497 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 5.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 5.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 5.497 * [taylor]: Taking taylor expansion of 1/3 in N 5.497 * [backup-simplify]: Simplify 1/3 into 1/3 5.497 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.497 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.497 * [taylor]: Taking taylor expansion of N in N 5.497 * [backup-simplify]: Simplify 0 into 0 5.497 * [backup-simplify]: Simplify 1 into 1 5.497 * [taylor]: Taking taylor expansion of 1 in N 5.497 * [backup-simplify]: Simplify 1 into 1 5.497 * [backup-simplify]: Simplify (+ 0 1) into 1 5.498 * [backup-simplify]: Simplify (log 1) into 0 5.498 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.499 * [backup-simplify]: Simplify (+ 1 0) into 1 5.500 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.501 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.501 * [backup-simplify]: Simplify (exp 0) into 1 5.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.501 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.501 * [taylor]: Taking taylor expansion of N in N 5.501 * [backup-simplify]: Simplify 0 into 0 5.501 * [backup-simplify]: Simplify 1 into 1 5.501 * [backup-simplify]: Simplify (/ 1 1) into 1 5.502 * [backup-simplify]: Simplify (sqrt 0) into 0 5.503 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.503 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 1/3) (sqrt (/ 1 N))) in N 5.503 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 5.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 5.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 5.503 * [taylor]: Taking taylor expansion of 1/3 in N 5.503 * [backup-simplify]: Simplify 1/3 into 1/3 5.503 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.503 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.503 * [taylor]: Taking taylor expansion of N in N 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [backup-simplify]: Simplify 1 into 1 5.503 * [taylor]: Taking taylor expansion of 1 in N 5.503 * [backup-simplify]: Simplify 1 into 1 5.504 * [backup-simplify]: Simplify (+ 0 1) into 1 5.504 * [backup-simplify]: Simplify (log 1) into 0 5.505 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.505 * [backup-simplify]: Simplify (+ 1 0) into 1 5.506 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.507 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.507 * [backup-simplify]: Simplify (exp 0) into 1 5.507 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.507 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.507 * [taylor]: Taking taylor expansion of N in N 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify 1 into 1 5.508 * [backup-simplify]: Simplify (/ 1 1) into 1 5.508 * [backup-simplify]: Simplify (sqrt 0) into 0 5.509 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.510 * [backup-simplify]: Simplify (* 1 0) into 0 5.510 * [backup-simplify]: Simplify 0 into 0 5.511 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 5.513 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1/3 0)) into (- +nan.0) 5.513 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.517 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.518 * [backup-simplify]: Simplify (+ 0 0) into 0 5.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.522 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 5.524 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 5.527 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1/3 +nan.0) (* -1/9 0))) into (- +nan.0) 5.527 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.533 * [backup-simplify]: Simplify (+ 0 0) into 0 5.538 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 5.539 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/9 5.548 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow 1/9 1) 1)))) into 5/81 5.551 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1/3 +nan.0) (+ (* -1/9 +nan.0) (* 5/81 0)))) into (- +nan.0) 5.552 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.553 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 5.553 * [backup-simplify]: Simplify (/ (cbrt (+ (/ 1 N) 1)) (sqrt (/ 1 N))) into (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)) 5.553 * [approximate]: Taking taylor expansion of (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)) in (N) around 0 5.553 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)) in N 5.553 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.553 * [taylor]: Taking taylor expansion of N in N 5.553 * [backup-simplify]: Simplify 0 into 0 5.553 * [backup-simplify]: Simplify 1 into 1 5.553 * [backup-simplify]: Simplify (sqrt 0) into 0 5.554 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.554 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 5.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 5.554 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 5.554 * [taylor]: Taking taylor expansion of 1/3 in N 5.554 * [backup-simplify]: Simplify 1/3 into 1/3 5.554 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.554 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.555 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.555 * [taylor]: Taking taylor expansion of N in N 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify 1 into 1 5.555 * [backup-simplify]: Simplify (/ 1 1) into 1 5.555 * [taylor]: Taking taylor expansion of 1 in N 5.555 * [backup-simplify]: Simplify 1 into 1 5.555 * [backup-simplify]: Simplify (+ 1 0) into 1 5.555 * [backup-simplify]: Simplify (log 1) into 0 5.556 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.556 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.556 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.556 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (+ (/ 1 N) 1) 1/3)) in N 5.556 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.556 * [taylor]: Taking taylor expansion of N in N 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify 1 into 1 5.556 * [backup-simplify]: Simplify (sqrt 0) into 0 5.557 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.557 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 5.557 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 5.557 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 5.557 * [taylor]: Taking taylor expansion of 1/3 in N 5.557 * [backup-simplify]: Simplify 1/3 into 1/3 5.557 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.557 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.557 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.557 * [taylor]: Taking taylor expansion of N in N 5.557 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify 1 into 1 5.558 * [backup-simplify]: Simplify (/ 1 1) into 1 5.558 * [taylor]: Taking taylor expansion of 1 in N 5.558 * [backup-simplify]: Simplify 1 into 1 5.558 * [backup-simplify]: Simplify (+ 1 0) into 1 5.559 * [backup-simplify]: Simplify (log 1) into 0 5.559 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.559 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 5.559 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 5.559 * [backup-simplify]: Simplify (* 0 (pow N -1/3)) into 0 5.559 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.560 * [backup-simplify]: Simplify (+ 0 1) into 1 5.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.561 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.562 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 5.563 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 5.563 * [backup-simplify]: Simplify (+ (* 0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 5.563 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 N) 1/3))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 5.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.564 * [backup-simplify]: Simplify (+ 0 0) into 0 5.565 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.566 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.566 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 5.567 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 5.569 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.569 * [backup-simplify]: Simplify (+ (* 0 (* -1/9 (pow (/ 1 N) 1/3))) (+ (* +nan.0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3)))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 5.569 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 N) 1/3))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 5.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.570 * [backup-simplify]: Simplify (+ 0 0) into 0 5.573 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 5.573 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.574 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (log N)))))) into 1/9 5.576 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/6) 1) 1)) (* (/ (pow 1/9 1) 1)))) into (* 5/81 (pow (/ 1 N) 1/3)) 5.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.578 * [backup-simplify]: Simplify (+ (* 0 (* 5/81 (pow (/ 1 N) 1/3))) (+ (* +nan.0 (* -1/9 (pow (/ 1 N) 1/3))) (+ (* +nan.0 (* 1/3 (pow (/ 1 N) 1/3))) (* +nan.0 (pow N -1/3))))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 5.579 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 N) 1/3))) into (- (* +nan.0 (pow (/ 1 N) 1/3))) 5.579 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (/ 1 (/ 1 N)) 1/3))) (pow (/ 1 N) 3)) (+ (* (- (* +nan.0 (pow (/ 1 (/ 1 N)) 1/3))) (pow (/ 1 N) 2)) (* (- (* +nan.0 (pow (/ 1 (/ 1 N)) 1/3))) (/ 1 N)))) into (- (+ (* +nan.0 (pow (/ 1 (pow N 5)) 1/3)) (- (+ (* +nan.0 (pow (/ 1 (pow N 8)) 1/3)) (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))))) 5.579 * [backup-simplify]: Simplify (/ (cbrt (+ (/ 1 (- N)) 1)) (sqrt (/ 1 (- N)))) into (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))) 5.579 * [approximate]: Taking taylor expansion of (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 5.579 * [taylor]: Taking taylor expansion of (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 5.579 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 5.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 5.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 5.579 * [taylor]: Taking taylor expansion of 1/3 in N 5.579 * [backup-simplify]: Simplify 1/3 into 1/3 5.579 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.579 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.579 * [taylor]: Taking taylor expansion of 1 in N 5.579 * [backup-simplify]: Simplify 1 into 1 5.579 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.579 * [taylor]: Taking taylor expansion of N in N 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify 1 into 1 5.580 * [backup-simplify]: Simplify (/ 1 1) into 1 5.580 * [backup-simplify]: Simplify (- 1) into -1 5.580 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.580 * [backup-simplify]: Simplify (log -1) into (log -1) 5.581 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.581 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 5.582 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.582 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.582 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.582 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.582 * [taylor]: Taking taylor expansion of -1 in N 5.582 * [backup-simplify]: Simplify -1 into -1 5.582 * [taylor]: Taking taylor expansion of N in N 5.582 * [backup-simplify]: Simplify 0 into 0 5.582 * [backup-simplify]: Simplify 1 into 1 5.582 * [backup-simplify]: Simplify (/ -1 1) into -1 5.582 * [backup-simplify]: Simplify (sqrt 0) into 0 5.583 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.583 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.583 * [taylor]: Taking taylor expansion of (* (pow (- 1 (/ 1 N)) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 5.583 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 1/3) in N 5.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 N))))) in N 5.583 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 N)))) in N 5.583 * [taylor]: Taking taylor expansion of 1/3 in N 5.583 * [backup-simplify]: Simplify 1/3 into 1/3 5.583 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 5.583 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.583 * [taylor]: Taking taylor expansion of 1 in N 5.583 * [backup-simplify]: Simplify 1 into 1 5.584 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.584 * [taylor]: Taking taylor expansion of N in N 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 1 into 1 5.584 * [backup-simplify]: Simplify (/ 1 1) into 1 5.584 * [backup-simplify]: Simplify (- 1) into -1 5.584 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.585 * [backup-simplify]: Simplify (log -1) into (log -1) 5.585 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.585 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) 5.586 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) 5.586 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.586 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.586 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.586 * [taylor]: Taking taylor expansion of -1 in N 5.586 * [backup-simplify]: Simplify -1 into -1 5.586 * [taylor]: Taking taylor expansion of N in N 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 1 into 1 5.586 * [backup-simplify]: Simplify (/ -1 1) into -1 5.586 * [backup-simplify]: Simplify (sqrt 0) into 0 5.587 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.587 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.588 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) +nan.0) into (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 5.588 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) into (* +nan.0 (exp (* 1/3 (- (log -1) (log N))))) 5.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.590 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.592 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.593 * [backup-simplify]: Simplify (- 0) into 0 5.593 * [backup-simplify]: Simplify (+ 1 0) into 1 5.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 5.594 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.595 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) 5.595 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) 5.596 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (- +nan.0)) (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) +nan.0)) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 5.597 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 5.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.602 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.603 * [backup-simplify]: Simplify (- 0) into 0 5.603 * [backup-simplify]: Simplify (+ 0 0) into 0 5.605 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 5.605 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 5.606 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) 5.607 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) 5.609 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (- +nan.0)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (- +nan.0)) (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) +nan.0))) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 5.609 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log N)))))) 5.611 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) (pow (/ 1 (- N)) 2)) (+ (* (- (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) (/ 1 (- N))) (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)) (- (+ (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ -1 N)))))) (- (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))))))) 5.611 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 5.611 * [backup-simplify]: Simplify (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) into (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) 5.611 * [approximate]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in (N) around 0 5.611 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in N 5.612 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 5.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 5.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 5.612 * [taylor]: Taking taylor expansion of 1/3 in N 5.612 * [backup-simplify]: Simplify 1/3 into 1/3 5.612 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 5.612 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 5.612 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.612 * [taylor]: Taking taylor expansion of N in N 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 1 into 1 5.612 * [taylor]: Taking taylor expansion of 1 in N 5.612 * [backup-simplify]: Simplify 1 into 1 5.612 * [backup-simplify]: Simplify (+ 0 1) into 1 5.613 * [backup-simplify]: Simplify (* 1 1) into 1 5.613 * [backup-simplify]: Simplify (log 1) into 0 5.613 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.614 * [backup-simplify]: Simplify (+ 1 0) into 1 5.614 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.616 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.617 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 5.617 * [backup-simplify]: Simplify (exp 0) into 1 5.617 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.617 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.617 * [taylor]: Taking taylor expansion of N in N 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.617 * [backup-simplify]: Simplify (/ 1 1) into 1 5.618 * [backup-simplify]: Simplify (sqrt 0) into 0 5.619 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.619 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in N 5.619 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 5.619 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 5.619 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 5.619 * [taylor]: Taking taylor expansion of 1/3 in N 5.619 * [backup-simplify]: Simplify 1/3 into 1/3 5.619 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 5.619 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 5.619 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.619 * [taylor]: Taking taylor expansion of N in N 5.619 * [backup-simplify]: Simplify 0 into 0 5.619 * [backup-simplify]: Simplify 1 into 1 5.619 * [taylor]: Taking taylor expansion of 1 in N 5.619 * [backup-simplify]: Simplify 1 into 1 5.620 * [backup-simplify]: Simplify (+ 0 1) into 1 5.620 * [backup-simplify]: Simplify (* 1 1) into 1 5.621 * [backup-simplify]: Simplify (log 1) into 0 5.621 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.621 * [backup-simplify]: Simplify (+ 1 0) into 1 5.622 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.623 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.624 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 5.624 * [backup-simplify]: Simplify (exp 0) into 1 5.624 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 5.624 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.624 * [taylor]: Taking taylor expansion of N in N 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.625 * [backup-simplify]: Simplify (/ 1 1) into 1 5.625 * [backup-simplify]: Simplify (sqrt 0) into 0 5.626 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.627 * [backup-simplify]: Simplify (* 1 0) into 0 5.627 * [backup-simplify]: Simplify 0 into 0 5.628 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 5.630 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 2/3 0)) into (- +nan.0) 5.630 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.634 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.634 * [backup-simplify]: Simplify (+ 0 0) into 0 5.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 5.638 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.639 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 0))) into -1/3 5.641 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into -1/9 5.645 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 2/3 +nan.0) (* -1/9 0))) into (- +nan.0) 5.645 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.656 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.656 * [backup-simplify]: Simplify (+ 0 0) into 0 5.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.662 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 2/3 5.664 * [backup-simplify]: Simplify (+ (* 1/3 2/3) (+ (* 0 -1) (+ (* 0 2) (* 0 0)))) into 2/9 5.667 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 3) 6)) (* (/ (pow 2/3 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow 2/9 1) 1)))) into 4/81 5.673 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 2/3 +nan.0) (+ (* -1/9 +nan.0) (* 4/81 0)))) into (- +nan.0) 5.674 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.675 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 5.675 * [backup-simplify]: Simplify (/ (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (sqrt (/ 1 N))) into (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) 5.675 * [approximate]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in (N) around 0 5.675 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in N 5.675 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.675 * [taylor]: Taking taylor expansion of N in N 5.675 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify 1 into 1 5.676 * [backup-simplify]: Simplify (sqrt 0) into 0 5.677 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.677 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 5.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 5.678 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 5.678 * [taylor]: Taking taylor expansion of 1/3 in N 5.678 * [backup-simplify]: Simplify 1/3 into 1/3 5.678 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 5.678 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 5.678 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.678 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.678 * [taylor]: Taking taylor expansion of N in N 5.678 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify 1 into 1 5.678 * [backup-simplify]: Simplify (/ 1 1) into 1 5.678 * [taylor]: Taking taylor expansion of 1 in N 5.678 * [backup-simplify]: Simplify 1 into 1 5.679 * [backup-simplify]: Simplify (+ 1 0) into 1 5.679 * [backup-simplify]: Simplify (* 1 1) into 1 5.679 * [backup-simplify]: Simplify (log 1) into 0 5.680 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.680 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.680 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.680 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in N 5.680 * [taylor]: Taking taylor expansion of (sqrt N) in N 5.680 * [taylor]: Taking taylor expansion of N in N 5.680 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify 1 into 1 5.681 * [backup-simplify]: Simplify (sqrt 0) into 0 5.682 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.682 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 5.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 5.682 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 5.682 * [taylor]: Taking taylor expansion of 1/3 in N 5.682 * [backup-simplify]: Simplify 1/3 into 1/3 5.682 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 5.682 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 5.682 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.682 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.682 * [taylor]: Taking taylor expansion of N in N 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify 1 into 1 5.683 * [backup-simplify]: Simplify (/ 1 1) into 1 5.683 * [taylor]: Taking taylor expansion of 1 in N 5.683 * [backup-simplify]: Simplify 1 into 1 5.683 * [backup-simplify]: Simplify (+ 1 0) into 1 5.683 * [backup-simplify]: Simplify (* 1 1) into 1 5.684 * [backup-simplify]: Simplify (log 1) into 0 5.684 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.684 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.684 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.685 * [backup-simplify]: Simplify (* 0 (pow N -2/3)) into 0 5.685 * [backup-simplify]: Simplify 0 into 0 5.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.686 * [backup-simplify]: Simplify (+ 0 1) into 1 5.686 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.688 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.689 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log N))))) into 2/3 5.690 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 5.690 * [backup-simplify]: Simplify (+ (* 0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.690 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.692 * [backup-simplify]: Simplify (+ 0 0) into 0 5.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 5.695 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.696 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.697 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 5.697 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.699 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.700 * [backup-simplify]: Simplify (+ (* 0 (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3)))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.700 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.701 * [backup-simplify]: Simplify (+ 0 0) into 0 5.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.704 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 2/3 5.704 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.705 * [backup-simplify]: Simplify (+ (* 1/3 2/3) (+ (* 0 -1) (+ (* 0 2) (* 0 (- (* 2 (log N))))))) into 2/9 5.707 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 3) 6)) (* (/ (pow 2/3 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 2/9 1) 1)))) into (* 4/81 (pow (/ 1 (pow N 2)) 1/3)) 5.709 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.710 * [backup-simplify]: Simplify (+ (* 0 (* 4/81 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.710 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.710 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 N) 2)) 1/3))) (pow (/ 1 N) 3)) (+ (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 N) 2)) 1/3))) (pow (/ 1 N) 2)) (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 N) 2)) 1/3))) (/ 1 N)))) into (- (+ (* +nan.0 (pow (/ 1 N) 1/3)) (- (+ (* +nan.0 (pow (/ 1 (pow N 7)) 1/3)) (- (* +nan.0 (pow (/ 1 (pow N 4)) 1/3))))))) 5.711 * [backup-simplify]: Simplify (/ (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (sqrt (/ 1 (- N)))) into (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) 5.711 * [approximate]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 5.711 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 5.711 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 5.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 5.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 5.711 * [taylor]: Taking taylor expansion of 1/3 in N 5.711 * [backup-simplify]: Simplify 1/3 into 1/3 5.711 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 5.711 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 5.711 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.711 * [taylor]: Taking taylor expansion of 1 in N 5.711 * [backup-simplify]: Simplify 1 into 1 5.711 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.711 * [taylor]: Taking taylor expansion of N in N 5.711 * [backup-simplify]: Simplify 0 into 0 5.711 * [backup-simplify]: Simplify 1 into 1 5.711 * [backup-simplify]: Simplify (/ 1 1) into 1 5.711 * [backup-simplify]: Simplify (- 1) into -1 5.712 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.712 * [backup-simplify]: Simplify (* -1 -1) into 1 5.712 * [backup-simplify]: Simplify (log 1) into 0 5.712 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.712 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.712 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.713 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.713 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.713 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.713 * [taylor]: Taking taylor expansion of -1 in N 5.713 * [backup-simplify]: Simplify -1 into -1 5.713 * [taylor]: Taking taylor expansion of N in N 5.713 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify 1 into 1 5.713 * [backup-simplify]: Simplify (/ -1 1) into -1 5.713 * [backup-simplify]: Simplify (sqrt 0) into 0 5.714 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.714 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.714 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 5.714 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 5.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 5.714 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 5.714 * [taylor]: Taking taylor expansion of 1/3 in N 5.714 * [backup-simplify]: Simplify 1/3 into 1/3 5.714 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 5.714 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 5.714 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.714 * [taylor]: Taking taylor expansion of 1 in N 5.714 * [backup-simplify]: Simplify 1 into 1 5.714 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.714 * [taylor]: Taking taylor expansion of N in N 5.714 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify 1 into 1 5.715 * [backup-simplify]: Simplify (/ 1 1) into 1 5.715 * [backup-simplify]: Simplify (- 1) into -1 5.715 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.715 * [backup-simplify]: Simplify (* -1 -1) into 1 5.716 * [backup-simplify]: Simplify (log 1) into 0 5.716 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.716 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.716 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.716 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 5.716 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.716 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.716 * [taylor]: Taking taylor expansion of -1 in N 5.716 * [backup-simplify]: Simplify -1 into -1 5.716 * [taylor]: Taking taylor expansion of N in N 5.716 * [backup-simplify]: Simplify 0 into 0 5.716 * [backup-simplify]: Simplify 1 into 1 5.717 * [backup-simplify]: Simplify (/ -1 1) into -1 5.717 * [backup-simplify]: Simplify (sqrt 0) into 0 5.718 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.718 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.718 * [backup-simplify]: Simplify (* (pow N -2/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 5.718 * [backup-simplify]: Simplify (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) into (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 5.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.720 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.722 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.722 * [backup-simplify]: Simplify (- 0) into 0 5.723 * [backup-simplify]: Simplify (+ 1 0) into 1 5.723 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 5.724 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 5.724 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.724 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 2 (log N))))) into (- 2/3) 5.725 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) 5.725 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (- +nan.0)) (* (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) +nan.0)) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.726 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.733 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.734 * [backup-simplify]: Simplify (- 0) into 0 5.734 * [backup-simplify]: Simplify (+ 0 0) into 0 5.735 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 5.738 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.739 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.739 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 5.741 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.743 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (- +nan.0)) (+ (* (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) (- +nan.0)) (* (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) +nan.0))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.743 * [backup-simplify]: Simplify (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 5.744 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3))) (pow (/ 1 (- N)) 2)) (+ (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3))) (/ 1 (- N))) (* +nan.0 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)))) into (- (+ (* +nan.0 (pow (pow N 2) 1/3)) (- (+ (* +nan.0 (pow (/ 1 N) 1/3)) (- (* +nan.0 (pow (/ 1 (pow N 4)) 1/3))))))) 5.744 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 5.744 * [backup-simplify]: Simplify (* (cbrt (+ N 1)) (cbrt (+ N 1))) into (pow (pow (+ N 1) 2) 1/3) 5.744 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in (N) around 0 5.744 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 5.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 5.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 5.744 * [taylor]: Taking taylor expansion of 1/3 in N 5.744 * [backup-simplify]: Simplify 1/3 into 1/3 5.744 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 5.744 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 5.744 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.744 * [taylor]: Taking taylor expansion of N in N 5.744 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify 1 into 1 5.744 * [taylor]: Taking taylor expansion of 1 in N 5.744 * [backup-simplify]: Simplify 1 into 1 5.745 * [backup-simplify]: Simplify (+ 0 1) into 1 5.745 * [backup-simplify]: Simplify (* 1 1) into 1 5.745 * [backup-simplify]: Simplify (log 1) into 0 5.746 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.746 * [backup-simplify]: Simplify (+ 1 0) into 1 5.747 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.748 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.749 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 5.749 * [backup-simplify]: Simplify (exp 0) into 1 5.749 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 5.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 5.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 5.749 * [taylor]: Taking taylor expansion of 1/3 in N 5.749 * [backup-simplify]: Simplify 1/3 into 1/3 5.749 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 5.749 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 5.749 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.749 * [taylor]: Taking taylor expansion of N in N 5.749 * [backup-simplify]: Simplify 0 into 0 5.749 * [backup-simplify]: Simplify 1 into 1 5.749 * [taylor]: Taking taylor expansion of 1 in N 5.749 * [backup-simplify]: Simplify 1 into 1 5.749 * [backup-simplify]: Simplify (+ 0 1) into 1 5.750 * [backup-simplify]: Simplify (* 1 1) into 1 5.750 * [backup-simplify]: Simplify (log 1) into 0 5.751 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.751 * [backup-simplify]: Simplify (+ 1 0) into 1 5.752 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.754 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 5.754 * [backup-simplify]: Simplify (exp 0) into 1 5.754 * [backup-simplify]: Simplify 1 into 1 5.755 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 5.755 * [backup-simplify]: Simplify 2/3 into 2/3 5.756 * [backup-simplify]: Simplify (+ 0 0) into 0 5.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 5.759 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.760 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 0))) into -1/3 5.762 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into -1/9 5.762 * [backup-simplify]: Simplify -1/9 into -1/9 5.763 * [backup-simplify]: Simplify (+ (* -1/9 (pow N 2)) (+ (* 2/3 N) 1)) into (- (+ (* 2/3 N) 1) (* 1/9 (pow N 2))) 5.763 * [backup-simplify]: Simplify (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) into (pow (pow (+ (/ 1 N) 1) 2) 1/3) 5.763 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in (N) around 0 5.763 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 5.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 5.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 5.763 * [taylor]: Taking taylor expansion of 1/3 in N 5.763 * [backup-simplify]: Simplify 1/3 into 1/3 5.763 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 5.763 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 5.763 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.763 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.763 * [taylor]: Taking taylor expansion of N in N 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.764 * [backup-simplify]: Simplify (/ 1 1) into 1 5.764 * [taylor]: Taking taylor expansion of 1 in N 5.764 * [backup-simplify]: Simplify 1 into 1 5.764 * [backup-simplify]: Simplify (+ 1 0) into 1 5.765 * [backup-simplify]: Simplify (* 1 1) into 1 5.765 * [backup-simplify]: Simplify (log 1) into 0 5.765 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.766 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.766 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.766 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 5.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 5.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 5.766 * [taylor]: Taking taylor expansion of 1/3 in N 5.766 * [backup-simplify]: Simplify 1/3 into 1/3 5.766 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 5.766 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 5.766 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.766 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.766 * [taylor]: Taking taylor expansion of N in N 5.766 * [backup-simplify]: Simplify 0 into 0 5.766 * [backup-simplify]: Simplify 1 into 1 5.766 * [backup-simplify]: Simplify (/ 1 1) into 1 5.766 * [taylor]: Taking taylor expansion of 1 in N 5.766 * [backup-simplify]: Simplify 1 into 1 5.767 * [backup-simplify]: Simplify (+ 1 0) into 1 5.767 * [backup-simplify]: Simplify (* 1 1) into 1 5.768 * [backup-simplify]: Simplify (log 1) into 0 5.768 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.768 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.768 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.768 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.770 * [backup-simplify]: Simplify (+ 0 1) into 1 5.770 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 5.772 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 5.772 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.773 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log N))))) into 2/3 5.773 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 5.774 * [backup-simplify]: Simplify (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 5.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.775 * [backup-simplify]: Simplify (+ 0 0) into 0 5.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 5.784 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.785 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.786 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 5.788 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.788 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.789 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 2/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 2/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) 5.789 * [backup-simplify]: Simplify (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) into (pow (pow (- 1 (/ 1 N)) 2) 1/3) 5.789 * [approximate]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in (N) around 0 5.789 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 5.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 5.789 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 5.789 * [taylor]: Taking taylor expansion of 1/3 in N 5.789 * [backup-simplify]: Simplify 1/3 into 1/3 5.789 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 5.789 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 5.789 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.789 * [taylor]: Taking taylor expansion of 1 in N 5.789 * [backup-simplify]: Simplify 1 into 1 5.789 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.789 * [taylor]: Taking taylor expansion of N in N 5.789 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify 1 into 1 5.790 * [backup-simplify]: Simplify (/ 1 1) into 1 5.790 * [backup-simplify]: Simplify (- 1) into -1 5.791 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.791 * [backup-simplify]: Simplify (* -1 -1) into 1 5.791 * [backup-simplify]: Simplify (log 1) into 0 5.792 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.792 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.792 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.792 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 5.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 5.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 5.792 * [taylor]: Taking taylor expansion of 1/3 in N 5.792 * [backup-simplify]: Simplify 1/3 into 1/3 5.792 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 5.792 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 5.792 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.792 * [taylor]: Taking taylor expansion of 1 in N 5.792 * [backup-simplify]: Simplify 1 into 1 5.792 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.792 * [taylor]: Taking taylor expansion of N in N 5.792 * [backup-simplify]: Simplify 0 into 0 5.793 * [backup-simplify]: Simplify 1 into 1 5.793 * [backup-simplify]: Simplify (/ 1 1) into 1 5.793 * [backup-simplify]: Simplify (- 1) into -1 5.794 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.794 * [backup-simplify]: Simplify (* -1 -1) into 1 5.795 * [backup-simplify]: Simplify (log 1) into 0 5.795 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.795 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 5.795 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 5.795 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 5.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.797 * [backup-simplify]: Simplify (- 0) into 0 5.797 * [backup-simplify]: Simplify (+ 1 0) into 1 5.798 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 5.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 5.799 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.800 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 2 (log N))))) into (- 2/3) 5.801 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) 5.801 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) 5.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.803 * [backup-simplify]: Simplify (- 0) into 0 5.803 * [backup-simplify]: Simplify (+ 0 0) into 0 5.804 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 5.807 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 5.808 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 5.808 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 5.810 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.810 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 5.811 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -2/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (- (+ (* 2/3 (pow (/ 1 N) 1/3)) (pow (/ -1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) 5.811 * * * [progress]: simplifying candidates 5.811 * * * * [progress]: [ 1 / 246 ] simplifiying candidate # 5.811 * * * * [progress]: [ 2 / 246 ] simplifiying candidate # 5.811 * * * * [progress]: [ 3 / 246 ] simplifiying candidate # 5.811 * * * * [progress]: [ 4 / 246 ] simplifiying candidate # 5.812 * * * * [progress]: [ 5 / 246 ] simplifiying candidate # 5.812 * * * * [progress]: [ 6 / 246 ] simplifiying candidate # 5.812 * * * * [progress]: [ 7 / 246 ] simplifiying candidate # 5.812 * * * * [progress]: [ 8 / 246 ] simplifiying candidate # 5.812 * * * * [progress]: [ 9 / 246 ] simplifiying candidate # 5.812 * * * * [progress]: [ 10 / 246 ] simplifiying candidate # 5.812 * * * * [progress]: [ 11 / 246 ] simplifiying candidate # 5.812 * * * * [progress]: [ 12 / 246 ] simplifiying candidate # 5.812 * * * * [progress]: [ 13 / 246 ] simplifiying candidate # 5.812 * * * * [progress]: [ 14 / 246 ] simplifiying candidate # 5.812 * * * * [progress]: [ 15 / 246 ] simplifiying candidate # 5.812 * * * * [progress]: [ 16 / 246 ] simplifiying candidate # 5.812 * * * * [progress]: [ 17 / 246 ] simplifiying candidate # 5.812 * * * * [progress]: [ 18 / 246 ] simplifiying candidate # 5.813 * * * * [progress]: [ 19 / 246 ] simplifiying candidate # 5.813 * * * * [progress]: [ 20 / 246 ] simplifiying candidate # 5.813 * * * * [progress]: [ 21 / 246 ] simplifiying candidate # 5.813 * * * * [progress]: [ 22 / 246 ] simplifiying candidate # 5.813 * * * * [progress]: [ 23 / 246 ] simplifiying candidate # 5.813 * * * * [progress]: [ 24 / 246 ] simplifiying candidate # 5.813 * * * * [progress]: [ 25 / 246 ] simplifiying candidate # 5.813 * * * * [progress]: [ 26 / 246 ] simplifiying candidate # 5.813 * * * * [progress]: [ 27 / 246 ] simplifiying candidate # 5.813 * * * * [progress]: [ 28 / 246 ] simplifiying candidate # 5.813 * * * * [progress]: [ 29 / 246 ] simplifiying candidate # 5.813 * * * * [progress]: [ 30 / 246 ] simplifiying candidate # 5.813 * * * * [progress]: [ 31 / 246 ] simplifiying candidate # 5.814 * * * * [progress]: [ 32 / 246 ] simplifiying candidate # 5.814 * * * * [progress]: [ 33 / 246 ] simplifiying candidate # 5.814 * * * * [progress]: [ 34 / 246 ] simplifiying candidate # 5.814 * * * * [progress]: [ 35 / 246 ] simplifiying candidate # 5.814 * * * * [progress]: [ 36 / 246 ] simplifiying candidate # 5.814 * * * * [progress]: [ 37 / 246 ] simplifiying candidate # 5.814 * * * * [progress]: [ 38 / 246 ] simplifiying candidate # 5.814 * * * * [progress]: [ 39 / 246 ] simplifiying candidate # 5.814 * * * * [progress]: [ 40 / 246 ] simplifiying candidate # 5.814 * * * * [progress]: [ 41 / 246 ] simplifiying candidate # 5.814 * * * * [progress]: [ 42 / 246 ] simplifiying candidate # 5.814 * * * * [progress]: [ 43 / 246 ] simplifiying candidate # 5.814 * * * * [progress]: [ 44 / 246 ] simplifiying candidate # 5.814 * * * * [progress]: [ 45 / 246 ] simplifiying candidate # 5.815 * * * * [progress]: [ 46 / 246 ] simplifiying candidate # 5.815 * * * * [progress]: [ 47 / 246 ] simplifiying candidate # 5.815 * * * * [progress]: [ 48 / 246 ] simplifiying candidate # 5.815 * * * * [progress]: [ 49 / 246 ] simplifiying candidate # 5.815 * * * * [progress]: [ 50 / 246 ] simplifiying candidate # 5.815 * * * * [progress]: [ 51 / 246 ] simplifiying candidate # 5.815 * * * * [progress]: [ 52 / 246 ] simplifiying candidate # 5.815 * * * * [progress]: [ 53 / 246 ] simplifiying candidate # 5.815 * * * * [progress]: [ 54 / 246 ] simplifiying candidate # 5.815 * * * * [progress]: [ 55 / 246 ] simplifiying candidate # 5.815 * * * * [progress]: [ 56 / 246 ] simplifiying candidate # 5.815 * * * * [progress]: [ 57 / 246 ] simplifiying candidate # 5.815 * * * * [progress]: [ 58 / 246 ] simplifiying candidate # 5.815 * * * * [progress]: [ 59 / 246 ] simplifiying candidate # 5.815 * * * * [progress]: [ 60 / 246 ] simplifiying candidate # 5.816 * * * * [progress]: [ 61 / 246 ] simplifiying candidate # 5.816 * * * * [progress]: [ 62 / 246 ] simplifiying candidate # 5.816 * * * * [progress]: [ 63 / 246 ] simplifiying candidate # 5.816 * * * * [progress]: [ 64 / 246 ] simplifiying candidate # 5.816 * * * * [progress]: [ 65 / 246 ] simplifiying candidate # 5.816 * * * * [progress]: [ 66 / 246 ] simplifiying candidate # 5.816 * * * * [progress]: [ 67 / 246 ] simplifiying candidate # 5.816 * * * * [progress]: [ 68 / 246 ] simplifiying candidate # 5.816 * * * * [progress]: [ 69 / 246 ] simplifiying candidate # 5.816 * * * * [progress]: [ 70 / 246 ] simplifiying candidate # 5.816 * * * * [progress]: [ 71 / 246 ] simplifiying candidate # 5.816 * * * * [progress]: [ 72 / 246 ] simplifiying candidate # 5.816 * * * * [progress]: [ 73 / 246 ] simplifiying candidate #real (real->posit16 (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))))))> 5.816 * * * * [progress]: [ 74 / 246 ] simplifiying candidate # 5.817 * * * * [progress]: [ 75 / 246 ] simplifiying candidate # 5.817 * * * * [progress]: [ 76 / 246 ] simplifiying candidate # 5.817 * * * * [progress]: [ 77 / 246 ] simplifiying candidate # 5.817 * * * * [progress]: [ 78 / 246 ] simplifiying candidate # 5.817 * * * * [progress]: [ 79 / 246 ] simplifiying candidate # 5.817 * * * * [progress]: [ 80 / 246 ] simplifiying candidate # 5.817 * * * * [progress]: [ 81 / 246 ] simplifiying candidate # 5.817 * * * * [progress]: [ 82 / 246 ] simplifiying candidate # 5.817 * * * * [progress]: [ 83 / 246 ] simplifiying candidate # 5.817 * * * * [progress]: [ 84 / 246 ] simplifiying candidate # 5.817 * * * * [progress]: [ 85 / 246 ] simplifiying candidate # 5.817 * * * * [progress]: [ 86 / 246 ] simplifiying candidate # 5.817 * * * * [progress]: [ 87 / 246 ] simplifiying candidate # 5.817 * * * * [progress]: [ 88 / 246 ] simplifiying candidate # 5.818 * * * * [progress]: [ 89 / 246 ] simplifiying candidate # 5.818 * * * * [progress]: [ 90 / 246 ] simplifiying candidate # 5.818 * * * * [progress]: [ 91 / 246 ] simplifiying candidate # 5.818 * * * * [progress]: [ 92 / 246 ] simplifiying candidate # 5.818 * * * * [progress]: [ 93 / 246 ] simplifiying candidate # 5.818 * * * * [progress]: [ 94 / 246 ] simplifiying candidate # 5.818 * * * * [progress]: [ 95 / 246 ] simplifiying candidate # 5.818 * * * * [progress]: [ 96 / 246 ] simplifiying candidate # 5.818 * * * * [progress]: [ 97 / 246 ] simplifiying candidate # 5.818 * * * * [progress]: [ 98 / 246 ] simplifiying candidate # 5.818 * * * * [progress]: [ 99 / 246 ] simplifiying candidate # 5.818 * * * * [progress]: [ 100 / 246 ] simplifiying candidate # 5.818 * * * * [progress]: [ 101 / 246 ] simplifiying candidate # 5.819 * * * * [progress]: [ 102 / 246 ] simplifiying candidate # 5.819 * * * * [progress]: [ 103 / 246 ] simplifiying candidate # 5.819 * * * * [progress]: [ 104 / 246 ] simplifiying candidate # 5.819 * * * * [progress]: [ 105 / 246 ] simplifiying candidate # 5.819 * * * * [progress]: [ 106 / 246 ] simplifiying candidate # 5.819 * * * * [progress]: [ 107 / 246 ] simplifiying candidate # 5.819 * * * * [progress]: [ 108 / 246 ] simplifiying candidate # 5.819 * * * * [progress]: [ 109 / 246 ] simplifiying candidate # 5.819 * * * * [progress]: [ 110 / 246 ] simplifiying candidate # 5.819 * * * * [progress]: [ 111 / 246 ] simplifiying candidate # 5.819 * * * * [progress]: [ 112 / 246 ] simplifiying candidate # 5.819 * * * * [progress]: [ 113 / 246 ] simplifiying candidate # 5.819 * * * * [progress]: [ 114 / 246 ] simplifiying candidate # 5.820 * * * * [progress]: [ 115 / 246 ] simplifiying candidate # 5.820 * * * * [progress]: [ 116 / 246 ] simplifiying candidate # 5.820 * * * * [progress]: [ 117 / 246 ] simplifiying candidate # 5.820 * * * * [progress]: [ 118 / 246 ] simplifiying candidate # 5.820 * * * * [progress]: [ 119 / 246 ] simplifiying candidate # 5.820 * * * * [progress]: [ 120 / 246 ] simplifiying candidate # 5.820 * * * * [progress]: [ 121 / 246 ] simplifiying candidate # 5.820 * * * * [progress]: [ 122 / 246 ] simplifiying candidate # 5.820 * * * * [progress]: [ 123 / 246 ] simplifiying candidate # 5.820 * * * * [progress]: [ 124 / 246 ] simplifiying candidate # 5.820 * * * * [progress]: [ 125 / 246 ] simplifiying candidate # 5.820 * * * * [progress]: [ 126 / 246 ] simplifiying candidate # 5.820 * * * * [progress]: [ 127 / 246 ] simplifiying candidate # 5.820 * * * * [progress]: [ 128 / 246 ] simplifiying candidate # 5.821 * * * * [progress]: [ 129 / 246 ] simplifiying candidate # 5.821 * * * * [progress]: [ 130 / 246 ] simplifiying candidate # 5.821 * * * * [progress]: [ 131 / 246 ] simplifiying candidate # 5.821 * * * * [progress]: [ 132 / 246 ] simplifiying candidate # 5.821 * * * * [progress]: [ 133 / 246 ] simplifiying candidate # 5.821 * * * * [progress]: [ 134 / 246 ] simplifiying candidate # 5.821 * * * * [progress]: [ 135 / 246 ] simplifiying candidate # 5.821 * * * * [progress]: [ 136 / 246 ] simplifiying candidate # 5.821 * * * * [progress]: [ 137 / 246 ] simplifiying candidate # 5.821 * * * * [progress]: [ 138 / 246 ] simplifiying candidate # 5.821 * * * * [progress]: [ 139 / 246 ] simplifiying candidate # 5.821 * * * * [progress]: [ 140 / 246 ] simplifiying candidate # 5.821 * * * * [progress]: [ 141 / 246 ] simplifiying candidate # 5.821 * * * * [progress]: [ 142 / 246 ] simplifiying candidate # 5.822 * * * * [progress]: [ 143 / 246 ] simplifiying candidate # 5.822 * * * * [progress]: [ 144 / 246 ] simplifiying candidate #real (real->posit16 (/ (cbrt (+ N 1)) (sqrt N)))))))> 5.822 * * * * [progress]: [ 145 / 246 ] simplifiying candidate # 5.822 * * * * [progress]: [ 146 / 246 ] simplifiying candidate # 5.822 * * * * [progress]: [ 147 / 246 ] simplifiying candidate # 5.822 * * * * [progress]: [ 148 / 246 ] simplifiying candidate # 5.822 * * * * [progress]: [ 149 / 246 ] simplifiying candidate # 5.822 * * * * [progress]: [ 150 / 246 ] simplifiying candidate # 5.822 * * * * [progress]: [ 151 / 246 ] simplifiying candidate # 5.822 * * * * [progress]: [ 152 / 246 ] simplifiying candidate # 5.822 * * * * [progress]: [ 153 / 246 ] simplifiying candidate # 5.822 * * * * [progress]: [ 154 / 246 ] simplifiying candidate # 5.822 * * * * [progress]: [ 155 / 246 ] simplifiying candidate # 5.823 * * * * [progress]: [ 156 / 246 ] simplifiying candidate 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[progress]: [ 172 / 246 ] simplifiying candidate # 5.824 * * * * [progress]: [ 173 / 246 ] simplifiying candidate # 5.824 * * * * [progress]: [ 174 / 246 ] simplifiying candidate # 5.824 * * * * [progress]: [ 175 / 246 ] simplifiying candidate # 5.824 * * * * [progress]: [ 176 / 246 ] simplifiying candidate # 5.824 * * * * [progress]: [ 177 / 246 ] simplifiying candidate # 5.824 * * * * [progress]: [ 178 / 246 ] simplifiying candidate # 5.824 * * * * [progress]: [ 179 / 246 ] simplifiying candidate # 5.824 * * * * [progress]: [ 180 / 246 ] simplifiying candidate #real (real->posit16 (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))))) (log (/ (cbrt (+ N 1)) (sqrt N)))))> 5.824 * * * * [progress]: [ 181 / 246 ] simplifiying candidate # 5.824 * * * * [progress]: [ 182 / 246 ] simplifiying candidate # 5.825 * * * * [progress]: [ 183 / 246 ] simplifiying candidate # 5.825 * * * * [progress]: [ 184 / 246 ] simplifiying candidate # 5.825 * * * * [progress]: [ 185 / 246 ] simplifiying candidate # 5.825 * * * * [progress]: [ 186 / 246 ] simplifiying candidate # 5.825 * * * * [progress]: [ 187 / 246 ] simplifiying candidate # 5.825 * * * * [progress]: [ 188 / 246 ] simplifiying candidate # 5.825 * * * * [progress]: [ 189 / 246 ] simplifiying candidate # 5.825 * * * * [progress]: [ 190 / 246 ] simplifiying candidate # 5.825 * * * * [progress]: [ 191 / 246 ] simplifiying candidate # 5.825 * * * * [progress]: [ 192 / 246 ] simplifiying candidate # 5.825 * * * * [progress]: [ 193 / 246 ] simplifiying candidate # 5.825 * * * * [progress]: [ 194 / 246 ] simplifiying candidate # 5.825 * * * * [progress]: [ 195 / 246 ] simplifiying candidate # 5.825 * * * * [progress]: [ 196 / 246 ] simplifiying candidate # 5.826 * * * * [progress]: [ 197 / 246 ] simplifiying candidate # 5.826 * * * * [progress]: [ 198 / 246 ] simplifiying candidate # 5.826 * * * * [progress]: [ 199 / 246 ] simplifiying candidate # 5.826 * * * * [progress]: [ 200 / 246 ] simplifiying candidate # 5.826 * * * * [progress]: [ 201 / 246 ] simplifiying candidate # 5.826 * * * * [progress]: [ 202 / 246 ] simplifiying candidate # 5.826 * * * * [progress]: [ 203 / 246 ] simplifiying candidate # 5.826 * * * * [progress]: [ 204 / 246 ] simplifiying candidate # 5.826 * * * * [progress]: [ 205 / 246 ] simplifiying candidate # 5.826 * * * * [progress]: [ 206 / 246 ] simplifiying candidate # 5.826 * * * * [progress]: [ 207 / 246 ] simplifiying candidate # 5.826 * * * * [progress]: [ 208 / 246 ] simplifiying candidate # 5.826 * * * * [progress]: [ 209 / 246 ] simplifiying candidate # 5.827 * * * * [progress]: [ 210 / 246 ] simplifiying candidate # 5.827 * * * * [progress]: [ 211 / 246 ] simplifiying candidate # 5.827 * * * * [progress]: [ 212 / 246 ] simplifiying candidate # 5.827 * * * * [progress]: [ 213 / 246 ] simplifiying candidate # 5.827 * * * * [progress]: [ 214 / 246 ] simplifiying candidate # 5.827 * * * * [progress]: [ 215 / 246 ] simplifiying candidate # 5.827 * * * * [progress]: [ 216 / 246 ] simplifiying candidate # 5.827 * * * * [progress]: [ 217 / 246 ] simplifiying candidate # 5.827 * * * * [progress]: [ 218 / 246 ] simplifiying candidate # 5.827 * * * * [progress]: [ 219 / 246 ] simplifiying candidate # 5.827 * * * * [progress]: [ 220 / 246 ] simplifiying candidate # 5.827 * * * * [progress]: [ 221 / 246 ] simplifiying candidate # 5.827 * * * * [progress]: [ 222 / 246 ] simplifiying candidate # 5.827 * * * * [progress]: [ 223 / 246 ] simplifiying candidate # 5.828 * * * * [progress]: [ 224 / 246 ] simplifiying candidate # 5.828 * * * * [progress]: [ 225 / 246 ] simplifiying candidate # 5.828 * * * * [progress]: [ 226 / 246 ] simplifiying candidate # 5.828 * * * * [progress]: [ 227 / 246 ] simplifiying candidate # 5.828 * * * * [progress]: [ 228 / 246 ] simplifiying candidate # 5.828 * * * * [progress]: [ 229 / 246 ] simplifiying candidate # 5.828 * * * * [progress]: [ 230 / 246 ] simplifiying candidate # 5.828 * * * * [progress]: [ 231 / 246 ] simplifiying candidate # 5.828 * * * * [progress]: [ 232 / 246 ] simplifiying candidate # 5.828 * * * * [progress]: [ 233 / 246 ] simplifiying candidate #real (real->posit16 (* (cbrt (+ N 1)) (cbrt (+ N 1))))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))))> 5.828 * * * * [progress]: [ 234 / 246 ] simplifiying candidate # 5.828 * * * * [progress]: [ 235 / 246 ] simplifiying candidate # 5.828 * * * * [progress]: [ 236 / 246 ] simplifiying candidate # 5.828 * * * * [progress]: [ 237 / 246 ] simplifiying candidate # 5.828 * * * * [progress]: [ 238 / 246 ] simplifiying candidate # 5.828 * * * * [progress]: [ 239 / 246 ] simplifiying candidate # 5.829 * * * * [progress]: [ 240 / 246 ] simplifiying candidate # 5.829 * * * * [progress]: [ 241 / 246 ] simplifiying candidate # 5.829 * * * * [progress]: [ 242 / 246 ] simplifiying candidate # 5.829 * * * * [progress]: [ 243 / 246 ] simplifiying candidate # 5.829 * * * * [progress]: [ 244 / 246 ] simplifiying candidate # 5.829 * * * * [progress]: [ 245 / 246 ] simplifiying candidate # 5.829 * * * * [progress]: [ 246 / 246 ] simplifiying candidate # 5.831 * [simplify]: Simplifying: (* (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ N 1)) (sqrt N))) (log (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))))) (exp (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))))) (* (cbrt (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))))) (cbrt (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))))) (cbrt (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))))) (* (* (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N)))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))))) (sqrt (+ (log (/ (* (cbrt (+ N 1)) 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1 N))) (cbrt (sqrt (+ 1 N)))) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (* (cbrt (sqrt (+ 1 N))) (sqrt (cbrt (+ 1 N)))) (* (cbrt (sqrt (+ 1 N))) (sqrt (cbrt (+ 1 N)))) (* (cbrt (sqrt (+ 1 N))) (sqrt (cbrt (+ 1 N)))) (* (cbrt (sqrt (+ 1 N))) (sqrt (cbrt (+ 1 N)))) (cbrt (+ 1 N)) (cbrt (+ 1 N)) (* 2 1/3) 2 (* (cbrt (+ 1 N)) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (* (cbrt (sqrt (+ 1 N))) (cbrt (+ 1 N))) (* (cbrt 1) (cbrt (+ 1 N))) (* (cbrt 1) (cbrt (+ 1 N))) (* (* (cbrt (+ 1 N)) (cbrt (cbrt (+ 1 N)))) (cbrt (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) (sqrt (cbrt (+ 1 N)))) (cbrt (+ 1 N)) (* (cbrt (+ 1 N)) (cbrt (cbrt (+ 1 N)))) (* (cbrt (sqrt (+ 1 N))) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) (cbrt (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) (sqrt (cbrt (+ 1 N)))) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) (cbrt (+ 1 (* N (* N N))))) (* (cbrt (- (* N N) 1)) (cbrt (+ 1 N))) (* (cbrt (+ 1 N)) (cbrt (+ 1 (* N (* N N))))) (* (cbrt (- (* N N) 1)) (cbrt (+ 1 N))) (real->posit16 (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (- (* 2 (log (- +nan.0))) (* +nan.0 (- N (* N N)))) (- (+ (log (* (- +nan.0) (cbrt N))) (+ (log (* (- +nan.0) (cbrt (* N N)))) (- (* (log N) 2)))) (- (/ +nan.0 (* N N)) (/ +nan.0 N))) (- (+ (+ (+ (* 1/3 (log (* N N))) (log +nan.0)) (log +nan.0)) (* (+ (- (log -1) (log -1)) (log N)) 1/3)) (- (/ +nan.0 (* N N)) (/ +nan.0 N))) (- (+ (* +nan.0 (- N (* N N))) +nan.0)) (+ (* (cbrt (/ 1 (pow N 5))) (- +nan.0)) (* +nan.0 (- (cbrt (/ 1 (pow N 8))) (cbrt (/ (/ 1 N) N))))) (+ (- (/ +nan.0 (/ N (exp (* (+ (- (log -1) (log -1)) (log N)) 1/3))))) (* +nan.0 (- (exp (* (+ (- (log -1) (log -1)) (log N)) 1/3)) (/ (exp (* (+ (- (log -1) (log -1)) (log N)) 1/3)) (* N N))))) (- (+ (* +nan.0 (- N (* N N))) +nan.0)) (+ (* (cbrt (/ 1 N)) (- +nan.0)) (* +nan.0 (- (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 (pow N 4)))))) (+ (* (- +nan.0) (cbrt (* N N))) (* +nan.0 (- (cbrt (/ 1 N)) (cbrt (/ 1 (pow N 4)))))) (- (+ 1 (* 2/3 N)) (* 1/9 (* N N))) (+ (pow (/ 1 N) -2/3) (- (* 2/3 (cbrt (/ 1 N))) (* (cbrt (/ 1 (pow N 4))) 1/9))) (+ (pow (/ -1 N) -2/3) (- (* 2/3 (cbrt (/ 1 N))) (* (cbrt (/ 1 (pow N 4))) 1/9))) 7.564 * * * [progress]: adding candidates to table 10.819 * * [progress]: iteration 4 / 4 10.819 * * * [progress]: picking best candidate 10.848 * * * * [pick]: Picked # 10.848 * * * [progress]: localizing error 10.930 * * * [progress]: generating rewritten candidates 10.930 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 11.393 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 11.395 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 2) 11.397 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 1) 11.404 * * * [progress]: generating series expansions 11.404 * * * * [progress]: [ 1 / 4 ] generating series at (2) 11.404 * [backup-simplify]: Simplify (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))) into (+ (log (* (pow (+ N 1) 1/3) (pow (/ 1 N) 1/6))) (+ (log (pow (/ 1 N) 1/3)) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))))) 11.404 * [approximate]: Taking taylor expansion of (+ (log (* (pow (+ N 1) 1/3) (pow (/ 1 N) 1/6))) (+ (log (pow (/ 1 N) 1/3)) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))))) in (N) around 0 11.404 * [taylor]: Taking taylor expansion of (+ (log (* (pow (+ N 1) 1/3) (pow (/ 1 N) 1/6))) (+ (log (pow (/ 1 N) 1/3)) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))))) in N 11.405 * [taylor]: Taking taylor expansion of (log (* (pow (+ N 1) 1/3) (pow (/ 1 N) 1/6))) in N 11.405 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 1/3) (pow (/ 1 N) 1/6)) in N 11.405 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 11.405 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 11.405 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 11.405 * [taylor]: Taking taylor expansion of 1/3 in N 11.405 * [backup-simplify]: Simplify 1/3 into 1/3 11.405 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 11.405 * [taylor]: Taking taylor expansion of (+ N 1) in N 11.405 * [taylor]: Taking taylor expansion of N in N 11.405 * [backup-simplify]: Simplify 0 into 0 11.405 * [backup-simplify]: Simplify 1 into 1 11.405 * [taylor]: Taking taylor expansion of 1 in N 11.405 * [backup-simplify]: Simplify 1 into 1 11.406 * [backup-simplify]: Simplify (+ 0 1) into 1 11.406 * [backup-simplify]: Simplify (log 1) into 0 11.407 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.409 * [backup-simplify]: Simplify (+ 1 0) into 1 11.410 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 11.411 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 11.411 * [backup-simplify]: Simplify (exp 0) into 1 11.411 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 11.411 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 11.411 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 11.411 * [taylor]: Taking taylor expansion of 1/6 in N 11.411 * [backup-simplify]: Simplify 1/6 into 1/6 11.411 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.411 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.411 * [taylor]: Taking taylor expansion of N in N 11.411 * [backup-simplify]: Simplify 0 into 0 11.411 * [backup-simplify]: Simplify 1 into 1 11.412 * [backup-simplify]: Simplify (/ 1 1) into 1 11.412 * [backup-simplify]: Simplify (log 1) into 0 11.413 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.413 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 11.413 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 11.413 * [backup-simplify]: Simplify (* 1 (pow N -1/6)) into (pow (/ 1 N) 1/6) 11.413 * [backup-simplify]: Simplify (log (pow (/ 1 N) 1/6)) into (log (pow (/ 1 N) 1/6)) 11.413 * [taylor]: Taking taylor expansion of (+ (log (pow (/ 1 N) 1/3)) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))))) in N 11.413 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 11.413 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 11.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 11.413 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 11.413 * [taylor]: Taking taylor expansion of 1/3 in N 11.413 * [backup-simplify]: Simplify 1/3 into 1/3 11.413 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.413 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.413 * [taylor]: Taking taylor expansion of N in N 11.413 * [backup-simplify]: Simplify 0 into 0 11.413 * [backup-simplify]: Simplify 1 into 1 11.414 * [backup-simplify]: Simplify (/ 1 1) into 1 11.414 * [backup-simplify]: Simplify (log 1) into 0 11.415 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.415 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 11.415 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 11.415 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 11.415 * [taylor]: Taking taylor expansion of (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))) in N 11.415 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in N 11.415 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 11.415 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 11.415 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 11.415 * [taylor]: Taking taylor expansion of 1/3 in N 11.415 * [backup-simplify]: Simplify 1/3 into 1/3 11.415 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 11.415 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 11.415 * [taylor]: Taking taylor expansion of (+ N 1) in N 11.415 * [taylor]: Taking taylor expansion of N in N 11.415 * [backup-simplify]: Simplify 0 into 0 11.415 * [backup-simplify]: Simplify 1 into 1 11.415 * [taylor]: Taking taylor expansion of 1 in N 11.415 * [backup-simplify]: Simplify 1 into 1 11.416 * [backup-simplify]: Simplify (+ 0 1) into 1 11.416 * [backup-simplify]: Simplify (* 1 1) into 1 11.417 * [backup-simplify]: Simplify (log 1) into 0 11.417 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.418 * [backup-simplify]: Simplify (+ 1 0) into 1 11.418 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 11.420 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 11.420 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 11.421 * [backup-simplify]: Simplify (exp 0) into 1 11.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 11.421 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.421 * [taylor]: Taking taylor expansion of N in N 11.421 * [backup-simplify]: Simplify 0 into 0 11.421 * [backup-simplify]: Simplify 1 into 1 11.421 * [backup-simplify]: Simplify (/ 1 1) into 1 11.421 * [backup-simplify]: Simplify (sqrt 0) into 0 11.422 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.422 * [backup-simplify]: Simplify (* 1 0) into 0 11.423 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 11.424 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 2/3 0)) into (- +nan.0) 11.425 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 11.425 * [taylor]: Taking taylor expansion of (+ (log (* (pow (+ N 1) 1/3) (pow (/ 1 N) 1/6))) (+ (log (pow (/ 1 N) 1/3)) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))))) in N 11.425 * [taylor]: Taking taylor expansion of (log (* (pow (+ N 1) 1/3) (pow (/ 1 N) 1/6))) in N 11.425 * [taylor]: Taking taylor expansion of (* (pow (+ N 1) 1/3) (pow (/ 1 N) 1/6)) in N 11.425 * [taylor]: Taking taylor expansion of (pow (+ N 1) 1/3) in N 11.425 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N 11.425 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N 11.425 * [taylor]: Taking taylor expansion of 1/3 in N 11.425 * [backup-simplify]: Simplify 1/3 into 1/3 11.425 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 11.425 * [taylor]: Taking taylor expansion of (+ N 1) in N 11.425 * [taylor]: Taking taylor expansion of N in N 11.425 * [backup-simplify]: Simplify 0 into 0 11.425 * [backup-simplify]: Simplify 1 into 1 11.425 * [taylor]: Taking taylor expansion of 1 in N 11.425 * [backup-simplify]: Simplify 1 into 1 11.425 * [backup-simplify]: Simplify (+ 0 1) into 1 11.425 * [backup-simplify]: Simplify (log 1) into 0 11.426 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.426 * [backup-simplify]: Simplify (+ 1 0) into 1 11.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 11.427 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 11.427 * [backup-simplify]: Simplify (exp 0) into 1 11.427 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 11.427 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 11.427 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 11.428 * [taylor]: Taking taylor expansion of 1/6 in N 11.428 * [backup-simplify]: Simplify 1/6 into 1/6 11.428 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.428 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.428 * [taylor]: Taking taylor expansion of N in N 11.428 * [backup-simplify]: Simplify 0 into 0 11.428 * [backup-simplify]: Simplify 1 into 1 11.428 * [backup-simplify]: Simplify (/ 1 1) into 1 11.428 * [backup-simplify]: Simplify (log 1) into 0 11.428 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.428 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 11.429 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 11.429 * [backup-simplify]: Simplify (* 1 (pow N -1/6)) into (pow (/ 1 N) 1/6) 11.429 * [backup-simplify]: Simplify (log (pow (/ 1 N) 1/6)) into (log (pow (/ 1 N) 1/6)) 11.429 * [taylor]: Taking taylor expansion of (+ (log (pow (/ 1 N) 1/3)) (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))))) in N 11.429 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 11.429 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 11.429 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 11.429 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 11.429 * [taylor]: Taking taylor expansion of 1/3 in N 11.429 * [backup-simplify]: Simplify 1/3 into 1/3 11.429 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.429 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.429 * [taylor]: Taking taylor expansion of N in N 11.429 * [backup-simplify]: Simplify 0 into 0 11.429 * [backup-simplify]: Simplify 1 into 1 11.429 * [backup-simplify]: Simplify (/ 1 1) into 1 11.429 * [backup-simplify]: Simplify (log 1) into 0 11.430 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.430 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 11.430 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 11.430 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 11.430 * [taylor]: Taking taylor expansion of (log (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N)))) in N 11.430 * [taylor]: Taking taylor expansion of (* (pow (pow (+ N 1) 2) 1/3) (sqrt (/ 1 N))) in N 11.430 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1) 2) 1/3) in N 11.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1) 2)))) in N 11.430 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1) 2))) in N 11.430 * [taylor]: Taking taylor expansion of 1/3 in N 11.430 * [backup-simplify]: Simplify 1/3 into 1/3 11.430 * [taylor]: Taking taylor expansion of (log (pow (+ N 1) 2)) in N 11.430 * [taylor]: Taking taylor expansion of (pow (+ N 1) 2) in N 11.430 * [taylor]: Taking taylor expansion of (+ N 1) in N 11.430 * [taylor]: Taking taylor expansion of N in N 11.430 * [backup-simplify]: Simplify 0 into 0 11.430 * [backup-simplify]: Simplify 1 into 1 11.430 * [taylor]: Taking taylor expansion of 1 in N 11.430 * [backup-simplify]: Simplify 1 into 1 11.430 * [backup-simplify]: Simplify (+ 0 1) into 1 11.431 * [backup-simplify]: Simplify (* 1 1) into 1 11.431 * [backup-simplify]: Simplify (log 1) into 0 11.431 * [backup-simplify]: Simplify (* 1/3 0) into 0 11.431 * [backup-simplify]: Simplify (+ 1 0) into 1 11.432 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 11.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 11.433 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 11.433 * [backup-simplify]: Simplify (exp 0) into 1 11.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 11.433 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.433 * [taylor]: Taking taylor expansion of N in N 11.433 * [backup-simplify]: Simplify 0 into 0 11.433 * [backup-simplify]: Simplify 1 into 1 11.433 * [backup-simplify]: Simplify (/ 1 1) into 1 11.433 * [backup-simplify]: Simplify (sqrt 0) into 0 11.434 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.435 * [backup-simplify]: Simplify (* 1 0) into 0 11.435 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 11.436 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 2/3 0)) into (- +nan.0) 11.437 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 11.438 * [backup-simplify]: Simplify (+ (log (pow N -1/3)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log (pow N -1/3))) 11.438 * [backup-simplify]: Simplify (+ (log (pow (/ 1 N) 1/6)) (+ (log (- +nan.0)) (log (pow N -1/3)))) into (+ (log (- +nan.0)) (+ (log (pow N -1/3)) (log (pow (/ 1 N) 1/6)))) 11.439 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log (pow N -1/3)) (log (pow (/ 1 N) 1/6)))) into (+ (log (- +nan.0)) (+ (log (pow N -1/3)) (log (pow (/ 1 N) 1/6)))) 11.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.440 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.441 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log N)))) into 0 11.441 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 11.442 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 11.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/3 (pow N -1/6))) into (* 1/3 (pow (/ 1 N) 1/6)) 11.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/6))) 1)) (pow (pow (/ 1 N) 1/6) 1)))) 1) into 1/3 11.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.444 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.444 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.444 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 11.445 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 11.445 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N -1/3) 1)))) 1) into 0 11.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.448 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.448 * [backup-simplify]: Simplify (+ 0 0) into 0 11.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 11.450 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 11.451 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 0))) into -1/3 11.452 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into -1/9 11.455 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 2/3 +nan.0) (* -1/9 0))) into (- +nan.0) 11.468 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 11.469 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0) 11.470 * [backup-simplify]: Simplify (+ 1/3 (- +nan.0)) into (- +nan.0) 11.470 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.473 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.474 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.475 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 11.476 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.477 * [backup-simplify]: Simplify (+ 0 0) into 0 11.479 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 11.480 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 11.482 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 11.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/3 0) (* -1/9 (pow N -1/6)))) into (- (* 1/9 (pow (/ 1 N) 1/6))) 11.483 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/6))) 2)) (pow (pow (/ 1 N) 1/6) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/9 (pow (/ 1 N) 1/6)))) 1)) (pow (pow (/ 1 N) 1/6) 1)))) 2) into -1/6 11.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.487 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.487 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.488 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 11.489 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.491 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N -1/3) 1)))) 2) into 0 11.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.496 * [backup-simplify]: Simplify (+ 0 0) into 0 11.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 11.501 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 2/3 11.503 * [backup-simplify]: Simplify (+ (* 1/3 2/3) (+ (* 0 -1) (+ (* 0 2) (* 0 0)))) into 2/9 11.506 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 3) 6)) (* (/ (pow 2/3 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow 2/9 1) 1)))) into 4/81 11.511 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 2/3 +nan.0) (+ (* -1/9 +nan.0) (* 4/81 0)))) into (- +nan.0) 11.529 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 11.529 * [backup-simplify]: Simplify (+ 0 +nan.0) into (- +nan.0) 11.531 * [backup-simplify]: Simplify (+ -1/6 (- +nan.0)) into (- +nan.0) 11.531 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.533 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (+ (log (- +nan.0)) (+ (log (pow N -1/3)) (log (pow (/ 1 N) 1/6)))))) into (- (+ (log (- +nan.0)) (+ (log (pow N -1/3)) (log (pow (/ 1 N) 1/6)))) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) 11.534 * [backup-simplify]: Simplify (+ (+ (log (/ (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (sqrt (/ 1 N)))) (log (/ 1 (* (cbrt (sqrt (/ 1 N))) (cbrt (sqrt (/ 1 N))))))) (log (/ (cbrt (+ (/ 1 N) 1)) (cbrt (sqrt (/ 1 N)))))) into (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/3))) (log (pow N 1/3)))) 11.534 * [approximate]: Taking taylor expansion of (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/3))) (log (pow N 1/3)))) in (N) around 0 11.534 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/3))) (log (pow N 1/3)))) in N 11.534 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) in N 11.535 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in N 11.535 * [taylor]: Taking taylor expansion of (sqrt N) in N 11.535 * [taylor]: Taking taylor expansion of N in N 11.535 * [backup-simplify]: Simplify 0 into 0 11.535 * [backup-simplify]: Simplify 1 into 1 11.535 * [backup-simplify]: Simplify (sqrt 0) into 0 11.537 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.537 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 11.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 11.537 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 11.537 * [taylor]: Taking taylor expansion of 1/3 in N 11.537 * [backup-simplify]: Simplify 1/3 into 1/3 11.537 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 11.537 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 11.537 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 11.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.537 * [taylor]: Taking taylor expansion of N in N 11.537 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify 1 into 1 11.537 * [backup-simplify]: Simplify (/ 1 1) into 1 11.537 * [taylor]: Taking taylor expansion of 1 in N 11.537 * [backup-simplify]: Simplify 1 into 1 11.538 * [backup-simplify]: Simplify (+ 1 0) into 1 11.538 * [backup-simplify]: Simplify (* 1 1) into 1 11.539 * [backup-simplify]: Simplify (log 1) into 0 11.539 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 11.539 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 11.539 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 11.539 * [backup-simplify]: Simplify (* 0 (pow N -2/3)) into 0 11.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.541 * [backup-simplify]: Simplify (+ 0 1) into 1 11.541 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 11.543 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 11.543 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 11.544 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log N))))) into 2/3 11.545 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 11.545 * [backup-simplify]: Simplify (+ (* 0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 11.545 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) into (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 11.545 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/3))) (log (pow N 1/3))) in N 11.545 * [taylor]: Taking taylor expansion of (log (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/3))) in N 11.545 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/3)) in N 11.545 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 11.545 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 11.545 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 11.545 * [taylor]: Taking taylor expansion of 1/6 in N 11.545 * [backup-simplify]: Simplify 1/6 into 1/6 11.545 * [taylor]: Taking taylor expansion of (log N) in N 11.545 * [taylor]: Taking taylor expansion of N in N 11.545 * [backup-simplify]: Simplify 0 into 0 11.545 * [backup-simplify]: Simplify 1 into 1 11.545 * [backup-simplify]: Simplify (log 1) into 0 11.546 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.546 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 11.546 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 11.546 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 11.546 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 11.546 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 11.546 * [taylor]: Taking taylor expansion of 1/3 in N 11.546 * [backup-simplify]: Simplify 1/3 into 1/3 11.546 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 11.546 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 11.546 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.546 * [taylor]: Taking taylor expansion of N in N 11.546 * [backup-simplify]: Simplify 0 into 0 11.546 * [backup-simplify]: Simplify 1 into 1 11.546 * [backup-simplify]: Simplify (/ 1 1) into 1 11.546 * [taylor]: Taking taylor expansion of 1 in N 11.546 * [backup-simplify]: Simplify 1 into 1 11.546 * [backup-simplify]: Simplify (+ 1 0) into 1 11.547 * [backup-simplify]: Simplify (log 1) into 0 11.547 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.547 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 11.547 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 11.547 * [backup-simplify]: Simplify (* (pow N 1/6) (pow N -1/3)) into (pow (/ 1 N) 1/6) 11.547 * [backup-simplify]: Simplify (log (pow (/ 1 N) 1/6)) into (log (pow (/ 1 N) 1/6)) 11.547 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 11.547 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 11.547 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 11.547 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 11.547 * [taylor]: Taking taylor expansion of 1/3 in N 11.547 * [backup-simplify]: Simplify 1/3 into 1/3 11.547 * [taylor]: Taking taylor expansion of (log N) in N 11.547 * [taylor]: Taking taylor expansion of N in N 11.547 * [backup-simplify]: Simplify 0 into 0 11.547 * [backup-simplify]: Simplify 1 into 1 11.548 * [backup-simplify]: Simplify (log 1) into 0 11.548 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.548 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 11.548 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 11.548 * [backup-simplify]: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) 11.548 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/3))) (log (pow N 1/3)))) in N 11.548 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3))) in N 11.548 * [taylor]: Taking taylor expansion of (* (sqrt N) (pow (pow (+ (/ 1 N) 1) 2) 1/3)) in N 11.548 * [taylor]: Taking taylor expansion of (sqrt N) in N 11.548 * [taylor]: Taking taylor expansion of N in N 11.548 * [backup-simplify]: Simplify 0 into 0 11.548 * [backup-simplify]: Simplify 1 into 1 11.548 * [backup-simplify]: Simplify (sqrt 0) into 0 11.549 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.549 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1) 2) 1/3) in N 11.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1) 2)))) in N 11.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1) 2))) in N 11.550 * [taylor]: Taking taylor expansion of 1/3 in N 11.550 * [backup-simplify]: Simplify 1/3 into 1/3 11.550 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1) 2)) in N 11.550 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 2) in N 11.550 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 11.550 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.550 * [taylor]: Taking taylor expansion of N in N 11.550 * [backup-simplify]: Simplify 0 into 0 11.550 * [backup-simplify]: Simplify 1 into 1 11.550 * [backup-simplify]: Simplify (/ 1 1) into 1 11.550 * [taylor]: Taking taylor expansion of 1 in N 11.550 * [backup-simplify]: Simplify 1 into 1 11.550 * [backup-simplify]: Simplify (+ 1 0) into 1 11.550 * [backup-simplify]: Simplify (* 1 1) into 1 11.551 * [backup-simplify]: Simplify (log 1) into 0 11.551 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 11.551 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 11.551 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 11.551 * [backup-simplify]: Simplify (* 0 (pow N -2/3)) into 0 11.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.552 * [backup-simplify]: Simplify (+ 0 1) into 1 11.552 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 11.553 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 11.553 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 11.554 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log N))))) into 2/3 11.554 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) 11.554 * [backup-simplify]: Simplify (+ (* 0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 11.554 * [backup-simplify]: Simplify (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) into (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 11.554 * [taylor]: Taking taylor expansion of (+ (log (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/3))) (log (pow N 1/3))) in N 11.555 * [taylor]: Taking taylor expansion of (log (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/3))) in N 11.555 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1) 1/3)) in N 11.555 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 11.555 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 11.555 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 11.555 * [taylor]: Taking taylor expansion of 1/6 in N 11.555 * [backup-simplify]: Simplify 1/6 into 1/6 11.555 * [taylor]: Taking taylor expansion of (log N) in N 11.555 * [taylor]: Taking taylor expansion of N in N 11.555 * [backup-simplify]: Simplify 0 into 0 11.555 * [backup-simplify]: Simplify 1 into 1 11.555 * [backup-simplify]: Simplify (log 1) into 0 11.555 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.555 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 11.555 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 11.555 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1) 1/3) in N 11.555 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N 11.555 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N 11.555 * [taylor]: Taking taylor expansion of 1/3 in N 11.555 * [backup-simplify]: Simplify 1/3 into 1/3 11.555 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 11.555 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 11.555 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.555 * [taylor]: Taking taylor expansion of N in N 11.555 * [backup-simplify]: Simplify 0 into 0 11.555 * [backup-simplify]: Simplify 1 into 1 11.556 * [backup-simplify]: Simplify (/ 1 1) into 1 11.556 * [taylor]: Taking taylor expansion of 1 in N 11.556 * [backup-simplify]: Simplify 1 into 1 11.556 * [backup-simplify]: Simplify (+ 1 0) into 1 11.556 * [backup-simplify]: Simplify (log 1) into 0 11.557 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.557 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 11.557 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 11.557 * [backup-simplify]: Simplify (* (pow N 1/6) (pow N -1/3)) into (pow (/ 1 N) 1/6) 11.557 * [backup-simplify]: Simplify (log (pow (/ 1 N) 1/6)) into (log (pow (/ 1 N) 1/6)) 11.557 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 11.557 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 11.557 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 11.557 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 11.557 * [taylor]: Taking taylor expansion of 1/3 in N 11.557 * [backup-simplify]: Simplify 1/3 into 1/3 11.557 * [taylor]: Taking taylor expansion of (log N) in N 11.557 * [taylor]: Taking taylor expansion of N in N 11.557 * [backup-simplify]: Simplify 0 into 0 11.557 * [backup-simplify]: Simplify 1 into 1 11.557 * [backup-simplify]: Simplify (log 1) into 0 11.558 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.558 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 11.558 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 11.558 * [backup-simplify]: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) 11.558 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) into (+ (log N) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) 11.558 * [backup-simplify]: Simplify (+ (log (pow (/ 1 N) 1/6)) (log (pow N 1/3))) into (+ (log (pow N 1/3)) (log (pow (/ 1 N) 1/6))) 11.559 * [backup-simplify]: Simplify (+ (+ (log N) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) (+ (log (pow N 1/3)) (log (pow (/ 1 N) 1/6)))) into (+ (log (pow (/ 1 N) 1/6)) (+ (log N) (+ (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) (log (pow N 1/3))))) 11.559 * [backup-simplify]: Simplify (+ (log (pow (/ 1 N) 1/6)) (+ (log N) (+ (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) (log (pow N 1/3))))) into (+ (log N) (+ (log (pow (/ 1 N) 1/6)) (+ (log (pow N 1/3)) (log (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))))) 11.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.560 * [backup-simplify]: Simplify (+ 0 0) into 0 11.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 11.562 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 11.562 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 11.563 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 11.564 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 11.565 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.566 * [backup-simplify]: Simplify (+ (* 0 (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3)))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 11.566 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 1)))) 1) into +nan.0 11.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.567 * [backup-simplify]: Simplify (+ 0 1) into 1 11.568 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 11.568 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.568 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 11.569 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) 11.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.570 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.570 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log N))) into 0 11.571 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 11.571 * [backup-simplify]: Simplify (+ (* (pow N 1/6) (* 1/3 (pow (/ 1 N) 1/3))) (* 0 (pow N -1/3))) into (* 1/3 (pow (/ 1 N) 1/6)) 11.571 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/6))) 1)) (pow (pow (/ 1 N) 1/6) 1)))) 1) into 1/3 11.572 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.572 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.573 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 11.573 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 11.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N 1/3) 1)))) 1) into 0 11.574 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 11.574 * [backup-simplify]: Simplify (+ +nan.0 1/3) into (- +nan.0) 11.575 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.575 * [backup-simplify]: Simplify (+ 0 0) into 0 11.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 11.579 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2) 1) (pow (* 2 1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 2/3 11.579 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 11.580 * [backup-simplify]: Simplify (+ (* 1/3 2/3) (+ (* 0 -1) (+ (* 0 2) (* 0 (- (* 2 (log N))))))) into 2/9 11.582 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 2/3 3) 6)) (* (/ (pow 2/3 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 2/9 1) 1)))) into (* 4/81 (pow (/ 1 (pow N 2)) 1/3)) 11.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.590 * [backup-simplify]: Simplify (+ (* 0 (* 4/81 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* +nan.0 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) (* +nan.0 (pow N -2/3))))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 11.591 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 2)) (pow (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 1)))) 2) into +nan.0 11.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.593 * [backup-simplify]: Simplify (+ 0 0) into 0 11.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 11.596 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.597 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) 11.599 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) 11.602 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.603 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.604 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log N)))) into 0 11.606 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.606 * [backup-simplify]: Simplify (+ (* (pow N 1/6) (* -1/9 (pow (/ 1 N) 1/3))) (+ (* 0 (* 1/3 (pow (/ 1 N) 1/3))) (* 0 (pow N -1/3)))) into (- (* 1/9 (pow (/ 1 N) 1/6))) 11.607 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/6))) 2)) (pow (pow (/ 1 N) 1/6) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/9 (pow (/ 1 N) 1/6)))) 1)) (pow (pow (/ 1 N) 1/6) 1)))) 2) into -1/6 11.610 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.610 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.611 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 11.613 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.615 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N 1/3) 1)))) 2) into 0 11.615 * [backup-simplify]: Simplify (+ -1/6 0) into -1/6 11.616 * [backup-simplify]: Simplify (+ +nan.0 -1/6) into (- +nan.0) 11.616 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.618 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (/ 1 N)) (+ (log (pow (/ 1 (/ 1 N)) 1/6)) (+ (log (pow (/ 1 N) 1/3)) (log (- (* +nan.0 (pow (/ 1 (pow (/ 1 N) 2)) 1/3))))))))) into (- (+ (log (/ 1 N)) (+ (log (pow (/ 1 N) 1/3)) (+ (log (pow N 1/6)) (log (- (* +nan.0 (pow (pow N 2) 1/3))))))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 11.619 * [backup-simplify]: Simplify (+ (+ (log (/ (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (sqrt (/ 1 (- N))))) (log (/ 1 (* (cbrt (sqrt (/ 1 (- N)))) (cbrt (sqrt (/ 1 (- N)))))))) (log (/ (cbrt (+ (/ 1 (- N)) 1)) (cbrt (sqrt (/ 1 (- N))))))) into (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (+ (log (pow (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) 1/3)) (log (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3)))) 11.619 * [approximate]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (+ (log (pow (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) 1/3)) (log (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3)))) in (N) around 0 11.619 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (+ (log (pow (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) 1/3)) (log (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3)))) in N 11.619 * [taylor]: Taking taylor expansion of (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) in N 11.619 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 11.619 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 11.619 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 11.619 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 11.619 * [taylor]: Taking taylor expansion of 1/3 in N 11.619 * [backup-simplify]: Simplify 1/3 into 1/3 11.619 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 11.619 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 11.619 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 11.619 * [taylor]: Taking taylor expansion of 1 in N 11.619 * [backup-simplify]: Simplify 1 into 1 11.619 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.619 * [taylor]: Taking taylor expansion of N in N 11.619 * [backup-simplify]: Simplify 0 into 0 11.619 * [backup-simplify]: Simplify 1 into 1 11.620 * [backup-simplify]: Simplify (/ 1 1) into 1 11.620 * [backup-simplify]: Simplify (- 1) into -1 11.620 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.621 * [backup-simplify]: Simplify (* -1 -1) into 1 11.621 * [backup-simplify]: Simplify (log 1) into 0 11.622 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 11.622 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 11.622 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 11.622 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 11.622 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 11.622 * [taylor]: Taking taylor expansion of (/ -1 N) in N 11.622 * [taylor]: Taking taylor expansion of -1 in N 11.622 * [backup-simplify]: Simplify -1 into -1 11.622 * [taylor]: Taking taylor expansion of N in N 11.622 * [backup-simplify]: Simplify 0 into 0 11.622 * [backup-simplify]: Simplify 1 into 1 11.623 * [backup-simplify]: Simplify (/ -1 1) into -1 11.623 * [backup-simplify]: Simplify (sqrt 0) into 0 11.624 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.625 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.625 * [backup-simplify]: Simplify (* (pow N -2/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 11.625 * [backup-simplify]: Simplify (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 11.625 * [taylor]: Taking taylor expansion of (+ (log (pow (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) 1/3)) (log (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3))) in N 11.625 * [taylor]: Taking taylor expansion of (log (pow (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) 1/3)) in N 11.625 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 11.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))))) in N 11.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))))) in N 11.625 * [taylor]: Taking taylor expansion of 1/3 in N 11.625 * [backup-simplify]: Simplify 1/3 into 1/3 11.625 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) in N 11.625 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 11.625 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 11.625 * [taylor]: Taking taylor expansion of 1 in N 11.625 * [backup-simplify]: Simplify 1 into 1 11.625 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.625 * [taylor]: Taking taylor expansion of N in N 11.625 * [backup-simplify]: Simplify 0 into 0 11.625 * [backup-simplify]: Simplify 1 into 1 11.626 * [backup-simplify]: Simplify (/ 1 1) into 1 11.626 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 11.626 * [taylor]: Taking taylor expansion of (/ -1 N) in N 11.626 * [taylor]: Taking taylor expansion of -1 in N 11.626 * [backup-simplify]: Simplify -1 into -1 11.626 * [taylor]: Taking taylor expansion of N in N 11.626 * [backup-simplify]: Simplify 0 into 0 11.626 * [backup-simplify]: Simplify 1 into 1 11.626 * [backup-simplify]: Simplify (/ -1 1) into -1 11.626 * [backup-simplify]: Simplify (sqrt 0) into 0 11.627 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.627 * [backup-simplify]: Simplify (- 1) into -1 11.627 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.628 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 11.628 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 11.629 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 11.629 * [backup-simplify]: Simplify (* 1/3 (- (log +nan.0) (log N))) into (* 1/3 (- (log +nan.0) (log N))) 11.629 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (log N)))) into (exp (* 1/3 (- (log +nan.0) (log N)))) 11.629 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log +nan.0) (log N))))) into (* 1/3 (- (log +nan.0) (log N))) 11.629 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3)) in N 11.630 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3) in N 11.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt (/ -1 N)) 2))))) in N 11.630 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt (/ -1 N)) 2)))) in N 11.630 * [taylor]: Taking taylor expansion of 1/3 in N 11.630 * [backup-simplify]: Simplify 1/3 into 1/3 11.630 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt (/ -1 N)) 2))) in N 11.630 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (/ -1 N)) 2)) in N 11.630 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N 11.630 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 11.630 * [taylor]: Taking taylor expansion of (/ -1 N) in N 11.630 * [taylor]: Taking taylor expansion of -1 in N 11.630 * [backup-simplify]: Simplify -1 into -1 11.630 * [taylor]: Taking taylor expansion of N in N 11.630 * [backup-simplify]: Simplify 0 into 0 11.630 * [backup-simplify]: Simplify 1 into 1 11.630 * [backup-simplify]: Simplify (/ -1 1) into -1 11.630 * [backup-simplify]: Simplify (sqrt 0) into 0 11.631 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.631 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.632 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.632 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 11.632 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 11.633 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 11.634 * [backup-simplify]: Simplify (log (pow +nan.0 1/3)) into (log (pow +nan.0 1/3)) 11.634 * [taylor]: Taking taylor expansion of (+ (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) (+ (log (pow (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) 1/3)) (log (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3)))) in N 11.634 * [taylor]: Taking taylor expansion of (log (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N))))) in N 11.634 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 N)) 2) 1/3) (/ 1 (sqrt (/ -1 N)))) in N 11.634 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 N)) 2) 1/3) in N 11.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 N)) 2)))) in N 11.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 N)) 2))) in N 11.634 * [taylor]: Taking taylor expansion of 1/3 in N 11.634 * [backup-simplify]: Simplify 1/3 into 1/3 11.634 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 N)) 2)) in N 11.634 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 N)) 2) in N 11.634 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 11.634 * [taylor]: Taking taylor expansion of 1 in N 11.634 * [backup-simplify]: Simplify 1 into 1 11.634 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.634 * [taylor]: Taking taylor expansion of N in N 11.634 * [backup-simplify]: Simplify 0 into 0 11.634 * [backup-simplify]: Simplify 1 into 1 11.635 * [backup-simplify]: Simplify (/ 1 1) into 1 11.635 * [backup-simplify]: Simplify (- 1) into -1 11.635 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.635 * [backup-simplify]: Simplify (* -1 -1) into 1 11.636 * [backup-simplify]: Simplify (log 1) into 0 11.636 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 11.636 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 11.636 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 11.636 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 11.636 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 11.636 * [taylor]: Taking taylor expansion of (/ -1 N) in N 11.636 * [taylor]: Taking taylor expansion of -1 in N 11.636 * [backup-simplify]: Simplify -1 into -1 11.636 * [taylor]: Taking taylor expansion of N in N 11.636 * [backup-simplify]: Simplify 0 into 0 11.636 * [backup-simplify]: Simplify 1 into 1 11.636 * [backup-simplify]: Simplify (/ -1 1) into -1 11.637 * [backup-simplify]: Simplify (sqrt 0) into 0 11.637 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.638 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.638 * [backup-simplify]: Simplify (* (pow N -2/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 11.638 * [backup-simplify]: Simplify (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) into (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 11.638 * [taylor]: Taking taylor expansion of (+ (log (pow (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) 1/3)) (log (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3))) in N 11.638 * [taylor]: Taking taylor expansion of (log (pow (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) 1/3)) in N 11.638 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 11.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))))) in N 11.638 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))))) in N 11.638 * [taylor]: Taking taylor expansion of 1/3 in N 11.638 * [backup-simplify]: Simplify 1/3 into 1/3 11.638 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) in N 11.638 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 11.638 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 11.638 * [taylor]: Taking taylor expansion of 1 in N 11.638 * [backup-simplify]: Simplify 1 into 1 11.638 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.638 * [taylor]: Taking taylor expansion of N in N 11.638 * [backup-simplify]: Simplify 0 into 0 11.638 * [backup-simplify]: Simplify 1 into 1 11.638 * [backup-simplify]: Simplify (/ 1 1) into 1 11.638 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 11.639 * [taylor]: Taking taylor expansion of (/ -1 N) in N 11.639 * [taylor]: Taking taylor expansion of -1 in N 11.639 * [backup-simplify]: Simplify -1 into -1 11.639 * [taylor]: Taking taylor expansion of N in N 11.639 * [backup-simplify]: Simplify 0 into 0 11.639 * [backup-simplify]: Simplify 1 into 1 11.639 * [backup-simplify]: Simplify (/ -1 1) into -1 11.639 * [backup-simplify]: Simplify (sqrt 0) into 0 11.640 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.640 * [backup-simplify]: Simplify (- 1) into -1 11.640 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.641 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 11.641 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 11.642 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 11.642 * [backup-simplify]: Simplify (* 1/3 (- (log +nan.0) (log N))) into (* 1/3 (- (log +nan.0) (log N))) 11.642 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (log N)))) into (exp (* 1/3 (- (log +nan.0) (log N)))) 11.642 * [backup-simplify]: Simplify (log (exp (* 1/3 (- (log +nan.0) (log N))))) into (* 1/3 (- (log +nan.0) (log N))) 11.642 * [taylor]: Taking taylor expansion of (log (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3)) in N 11.643 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt (/ -1 N)) 2)) 1/3) in N 11.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sqrt (/ -1 N)) 2))))) in N 11.643 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sqrt (/ -1 N)) 2)))) in N 11.643 * [taylor]: Taking taylor expansion of 1/3 in N 11.643 * [backup-simplify]: Simplify 1/3 into 1/3 11.643 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt (/ -1 N)) 2))) in N 11.643 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (/ -1 N)) 2)) in N 11.643 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N 11.643 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 11.643 * [taylor]: Taking taylor expansion of (/ -1 N) in N 11.643 * [taylor]: Taking taylor expansion of -1 in N 11.643 * [backup-simplify]: Simplify -1 into -1 11.643 * [taylor]: Taking taylor expansion of N in N 11.643 * [backup-simplify]: Simplify 0 into 0 11.643 * [backup-simplify]: Simplify 1 into 1 11.643 * [backup-simplify]: Simplify (/ -1 1) into -1 11.643 * [backup-simplify]: Simplify (sqrt 0) into 0 11.644 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.644 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.645 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.645 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 11.645 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 11.646 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 11.647 * [backup-simplify]: Simplify (log (pow +nan.0 1/3)) into (log (pow +nan.0 1/3)) 11.648 * [backup-simplify]: Simplify (+ (* 1/3 (- (log +nan.0) (log N))) (log (pow +nan.0 1/3))) into (- (+ (* 1/3 (log +nan.0)) (log (pow +nan.0 1/3))) (* 1/3 (log N))) 11.650 * [backup-simplify]: Simplify (+ (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) (- (+ (* 1/3 (log +nan.0)) (log (pow +nan.0 1/3))) (* 1/3 (log N)))) into (- (+ (* 1/3 (log +nan.0)) (+ (log (pow +nan.0 1/3)) (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) (* 1/3 (log N))) 11.651 * [backup-simplify]: Simplify (- (+ (* 1/3 (log +nan.0)) (+ (log (pow +nan.0 1/3)) (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) (* 1/3 (log N))) into (- (+ (* 1/3 (log +nan.0)) (+ (log (pow +nan.0 1/3)) (log (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))))) (* 1/3 (log N))) 11.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.655 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.657 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 11.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.658 * [backup-simplify]: Simplify (- 0) into 0 11.659 * [backup-simplify]: Simplify (+ 1 0) into 1 11.659 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2 11.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 11.661 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 11.662 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 2 (log N))))) into (- 2/3) 11.663 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) 11.663 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (- +nan.0)) (* (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) +nan.0)) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 11.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 1)))) 1) into +nan.0 11.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.665 * [backup-simplify]: Simplify (- 0) into 0 11.666 * [backup-simplify]: Simplify (+ 1 0) into 1 11.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.669 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.672 * [backup-simplify]: Simplify (- (/ 1 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 11.680 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 11.681 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 11.682 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (- (log +nan.0) (log N)))) into (- +nan.0) 11.686 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log +nan.0) (log N)))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) 11.687 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N)))))) 1)) (pow (exp (* 1/3 (- (log +nan.0) (log N)))) 1)))) 1) into +nan.0 11.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.692 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.693 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 11.697 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 11.705 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 11.707 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (log +nan.0))) into (- +nan.0) 11.713 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 11.730 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (pow +nan.0 1/3))) 1)) (pow (pow +nan.0 1/3) 1)))) 1) into +nan.0 11.731 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.732 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 11.733 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.742 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 11.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.743 * [backup-simplify]: Simplify (- 0) into 0 11.744 * [backup-simplify]: Simplify (+ 0 0) into 0 11.745 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 11.747 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1 11.748 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 11.749 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 2 (log N)))))) into (- 1/3) 11.751 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) 11.752 * [backup-simplify]: Simplify (+ (* (pow N -2/3) (- +nan.0)) (+ (* (* -2/3 (pow (/ 1 (pow N 2)) 1/3)) (- +nan.0)) (* (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) +nan.0))) into (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3))) 11.753 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 2)) (pow (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (* +nan.0 (pow (/ 1 (pow N 2)) 1/3)) 1)))) 2) into +nan.0 11.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.755 * [backup-simplify]: Simplify (- 0) into 0 11.755 * [backup-simplify]: Simplify (+ 0 0) into 0 11.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.760 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.765 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 11.782 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 11.782 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 11.784 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (- (log +nan.0) (log N))))) into (- +nan.0) 11.790 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log +nan.0) (log N)))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) 11.793 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N)))))) 2)) (pow (exp (* 1/3 (- (log +nan.0) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N)))))) 1)) (pow (exp (* 1/3 (- (log +nan.0) (log N)))) 1)))) 2) into +nan.0 11.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.801 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 11.806 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 11.823 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 11.825 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (log +nan.0)))) into (- +nan.0) 11.836 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 11.860 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (pow +nan.0 1/3))) 2)) (pow (pow +nan.0 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* +nan.0 (pow +nan.0 1/3))) 1)) (pow (pow +nan.0 1/3) 1)))) 2) into +nan.0 11.861 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.862 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 11.862 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.873 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- (+ (* 1/3 (log +nan.0)) (+ (log (pow +nan.0 1/3)) (log (* +nan.0 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3))))) (* 1/3 (log (/ 1 (- N))))))) into (- (+ (log (* +nan.0 (pow (pow N 2) 1/3))) (+ (* 1/3 (log +nan.0)) (log (pow +nan.0 1/3)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* 1/3 (log (/ -1 N))) (* +nan.0 (/ 1 N))))) 11.874 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 11.874 * [backup-simplify]: Simplify (cbrt (sqrt N)) into (pow N 1/6) 11.874 * [approximate]: Taking taylor expansion of (pow N 1/6) in (N) around 0 11.874 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 11.874 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 11.874 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 11.874 * [taylor]: Taking taylor expansion of 1/6 in N 11.874 * [backup-simplify]: Simplify 1/6 into 1/6 11.874 * [taylor]: Taking taylor expansion of (log N) in N 11.874 * [taylor]: Taking taylor expansion of N in N 11.874 * [backup-simplify]: Simplify 0 into 0 11.874 * [backup-simplify]: Simplify 1 into 1 11.875 * [backup-simplify]: Simplify (log 1) into 0 11.875 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.875 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 11.875 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 11.875 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 11.875 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 11.875 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 11.875 * [taylor]: Taking taylor expansion of 1/6 in N 11.875 * [backup-simplify]: Simplify 1/6 into 1/6 11.876 * [taylor]: Taking taylor expansion of (log N) in N 11.876 * [taylor]: Taking taylor expansion of N in N 11.876 * [backup-simplify]: Simplify 0 into 0 11.876 * [backup-simplify]: Simplify 1 into 1 11.876 * [backup-simplify]: Simplify (log 1) into 0 11.876 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.877 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 11.877 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 11.877 * [backup-simplify]: Simplify (pow N 1/6) into (pow N 1/6) 11.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.879 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.879 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log N))) into 0 11.880 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 11.880 * [backup-simplify]: Simplify 0 into 0 11.883 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.884 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.885 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log N)))) into 0 11.886 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.886 * [backup-simplify]: Simplify 0 into 0 11.892 * [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 11.892 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.894 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 11.895 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.895 * [backup-simplify]: Simplify 0 into 0 11.907 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 11.908 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.909 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 11.912 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.912 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 11.932 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.934 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 11.938 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.938 * [backup-simplify]: Simplify 0 into 0 11.963 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 11.963 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 11.965 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 11.968 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.968 * [backup-simplify]: Simplify 0 into 0 11.969 * [backup-simplify]: Simplify (pow N 1/6) into (pow N 1/6) 11.969 * [backup-simplify]: Simplify (cbrt (sqrt (/ 1 N))) into (pow (/ 1 N) 1/6) 11.969 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/6) in (N) around 0 11.969 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 11.969 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 11.969 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 11.969 * [taylor]: Taking taylor expansion of 1/6 in N 11.969 * [backup-simplify]: Simplify 1/6 into 1/6 11.969 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.969 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.969 * [taylor]: Taking taylor expansion of N in N 11.969 * [backup-simplify]: Simplify 0 into 0 11.969 * [backup-simplify]: Simplify 1 into 1 11.969 * [backup-simplify]: Simplify (/ 1 1) into 1 11.969 * [backup-simplify]: Simplify (log 1) into 0 11.970 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.970 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 11.970 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 11.970 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 11.970 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 11.970 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 11.970 * [taylor]: Taking taylor expansion of 1/6 in N 11.970 * [backup-simplify]: Simplify 1/6 into 1/6 11.970 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 11.970 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.970 * [taylor]: Taking taylor expansion of N in N 11.970 * [backup-simplify]: Simplify 0 into 0 11.970 * [backup-simplify]: Simplify 1 into 1 11.970 * [backup-simplify]: Simplify (/ 1 1) into 1 11.971 * [backup-simplify]: Simplify (log 1) into 0 11.971 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.971 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 11.971 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 11.971 * [backup-simplify]: Simplify (pow N -1/6) into (pow N -1/6) 11.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.972 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.973 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.973 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log N)))) into 0 11.974 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 11.974 * [backup-simplify]: Simplify 0 into 0 11.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.976 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.976 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.977 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 11.978 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.978 * [backup-simplify]: Simplify 0 into 0 11.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.981 * [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 11.981 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.982 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 11.983 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.983 * [backup-simplify]: Simplify 0 into 0 11.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.995 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 11.996 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 11.997 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 12.000 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.000 * [backup-simplify]: Simplify 0 into 0 12.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.020 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.021 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.023 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 12.027 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.027 * [backup-simplify]: Simplify 0 into 0 12.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.058 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.059 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.061 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 12.068 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.068 * [backup-simplify]: Simplify 0 into 0 12.068 * [backup-simplify]: Simplify (pow (/ 1 N) -1/6) into (pow (/ 1 N) -1/6) 12.069 * [backup-simplify]: Simplify (cbrt (sqrt (/ 1 (- N)))) into (pow (sqrt (/ -1 N)) 1/3) 12.069 * [approximate]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in (N) around 0 12.069 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in N 12.069 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt (/ -1 N))))) in N 12.069 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt (/ -1 N)))) in N 12.069 * [taylor]: Taking taylor expansion of 1/3 in N 12.069 * [backup-simplify]: Simplify 1/3 into 1/3 12.069 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 12.069 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 12.069 * [taylor]: Taking taylor expansion of (/ -1 N) in N 12.069 * [taylor]: Taking taylor expansion of -1 in N 12.069 * [backup-simplify]: Simplify -1 into -1 12.069 * [taylor]: Taking taylor expansion of N in N 12.069 * [backup-simplify]: Simplify 0 into 0 12.069 * [backup-simplify]: Simplify 1 into 1 12.070 * [backup-simplify]: Simplify (/ -1 1) into -1 12.070 * [backup-simplify]: Simplify (sqrt 0) into 0 12.072 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.072 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 12.073 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 12.075 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 12.075 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in N 12.075 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt (/ -1 N))))) in N 12.075 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt (/ -1 N)))) in N 12.075 * [taylor]: Taking taylor expansion of 1/3 in N 12.075 * [backup-simplify]: Simplify 1/3 into 1/3 12.075 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 12.075 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 12.075 * [taylor]: Taking taylor expansion of (/ -1 N) in N 12.075 * [taylor]: Taking taylor expansion of -1 in N 12.075 * [backup-simplify]: Simplify -1 into -1 12.075 * [taylor]: Taking taylor expansion of N in N 12.075 * [backup-simplify]: Simplify 0 into 0 12.076 * [backup-simplify]: Simplify 1 into 1 12.076 * [backup-simplify]: Simplify (/ -1 1) into -1 12.076 * [backup-simplify]: Simplify (sqrt 0) into 0 12.078 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.078 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 12.079 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 12.081 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 12.081 * [backup-simplify]: Simplify (pow +nan.0 1/3) into (pow +nan.0 1/3) 12.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.085 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 12.090 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (log +nan.0))) into (- +nan.0) 12.093 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 12.094 * [backup-simplify]: Simplify (* +nan.0 (pow +nan.0 1/3)) into (* +nan.0 (pow +nan.0 1/3)) 12.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.105 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 12.107 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (log +nan.0)))) into (- +nan.0) 12.112 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 12.113 * [backup-simplify]: Simplify (* +nan.0 (pow +nan.0 1/3)) into (* +nan.0 (pow +nan.0 1/3)) 12.122 * [backup-simplify]: Simplify (+ (* (* +nan.0 (pow +nan.0 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* +nan.0 (pow +nan.0 1/3)) (/ 1 (- N))) (pow +nan.0 1/3))) into (- (pow +nan.0 1/3) (+ (* +nan.0 (* (/ 1 N) (pow +nan.0 1/3))) (- (* +nan.0 (* (/ 1 (pow N 2)) (pow +nan.0 1/3)))))) 12.122 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 2) 12.122 * [backup-simplify]: Simplify (cbrt (sqrt N)) into (pow N 1/6) 12.123 * [approximate]: Taking taylor expansion of (pow N 1/6) in (N) around 0 12.123 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 12.123 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 12.123 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 12.123 * [taylor]: Taking taylor expansion of 1/6 in N 12.123 * [backup-simplify]: Simplify 1/6 into 1/6 12.123 * [taylor]: Taking taylor expansion of (log N) in N 12.123 * [taylor]: Taking taylor expansion of N in N 12.123 * [backup-simplify]: Simplify 0 into 0 12.123 * [backup-simplify]: Simplify 1 into 1 12.123 * [backup-simplify]: Simplify (log 1) into 0 12.124 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.124 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 12.124 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 12.124 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 12.124 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 12.124 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 12.124 * [taylor]: Taking taylor expansion of 1/6 in N 12.124 * [backup-simplify]: Simplify 1/6 into 1/6 12.124 * [taylor]: Taking taylor expansion of (log N) in N 12.124 * [taylor]: Taking taylor expansion of N in N 12.124 * [backup-simplify]: Simplify 0 into 0 12.124 * [backup-simplify]: Simplify 1 into 1 12.124 * [backup-simplify]: Simplify (log 1) into 0 12.125 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.125 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 12.125 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 12.125 * [backup-simplify]: Simplify (pow N 1/6) into (pow N 1/6) 12.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.127 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.127 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log N))) into 0 12.128 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 12.128 * [backup-simplify]: Simplify 0 into 0 12.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.130 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.131 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log N)))) into 0 12.132 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.132 * [backup-simplify]: Simplify 0 into 0 12.135 * [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 12.135 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.136 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 12.137 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.137 * [backup-simplify]: Simplify 0 into 0 12.143 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.144 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.145 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 12.146 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.146 * [backup-simplify]: Simplify 0 into 0 12.156 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.157 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.159 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 12.163 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.163 * [backup-simplify]: Simplify 0 into 0 12.190 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.191 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.192 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 12.196 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.196 * [backup-simplify]: Simplify 0 into 0 12.196 * [backup-simplify]: Simplify (pow N 1/6) into (pow N 1/6) 12.196 * [backup-simplify]: Simplify (cbrt (sqrt (/ 1 N))) into (pow (/ 1 N) 1/6) 12.196 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/6) in (N) around 0 12.196 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 12.196 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 12.196 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 12.196 * [taylor]: Taking taylor expansion of 1/6 in N 12.196 * [backup-simplify]: Simplify 1/6 into 1/6 12.196 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 12.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.196 * [taylor]: Taking taylor expansion of N in N 12.196 * [backup-simplify]: Simplify 0 into 0 12.196 * [backup-simplify]: Simplify 1 into 1 12.196 * [backup-simplify]: Simplify (/ 1 1) into 1 12.197 * [backup-simplify]: Simplify (log 1) into 0 12.197 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.197 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 12.197 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 12.197 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 12.197 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 12.197 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 12.197 * [taylor]: Taking taylor expansion of 1/6 in N 12.197 * [backup-simplify]: Simplify 1/6 into 1/6 12.197 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 12.197 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.197 * [taylor]: Taking taylor expansion of N in N 12.197 * [backup-simplify]: Simplify 0 into 0 12.197 * [backup-simplify]: Simplify 1 into 1 12.198 * [backup-simplify]: Simplify (/ 1 1) into 1 12.198 * [backup-simplify]: Simplify (log 1) into 0 12.198 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.198 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 12.198 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 12.198 * [backup-simplify]: Simplify (pow N -1/6) into (pow N -1/6) 12.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.200 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.200 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log N)))) into 0 12.201 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 12.201 * [backup-simplify]: Simplify 0 into 0 12.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.203 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.203 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.204 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 12.205 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.205 * [backup-simplify]: Simplify 0 into 0 12.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.208 * [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 12.208 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.209 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 12.210 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.210 * [backup-simplify]: Simplify 0 into 0 12.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.217 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.218 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.220 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 12.231 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.231 * [backup-simplify]: Simplify 0 into 0 12.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.243 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.243 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.245 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 12.247 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.247 * [backup-simplify]: Simplify 0 into 0 12.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.270 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.270 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.273 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 12.279 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.279 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify (pow (/ 1 N) -1/6) into (pow (/ 1 N) -1/6) 12.279 * [backup-simplify]: Simplify (cbrt (sqrt (/ 1 (- N)))) into (pow (sqrt (/ -1 N)) 1/3) 12.279 * [approximate]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in (N) around 0 12.279 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in N 12.279 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt (/ -1 N))))) in N 12.279 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt (/ -1 N)))) in N 12.280 * [taylor]: Taking taylor expansion of 1/3 in N 12.280 * [backup-simplify]: Simplify 1/3 into 1/3 12.280 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 12.280 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 12.280 * [taylor]: Taking taylor expansion of (/ -1 N) in N 12.280 * [taylor]: Taking taylor expansion of -1 in N 12.280 * [backup-simplify]: Simplify -1 into -1 12.280 * [taylor]: Taking taylor expansion of N in N 12.280 * [backup-simplify]: Simplify 0 into 0 12.280 * [backup-simplify]: Simplify 1 into 1 12.280 * [backup-simplify]: Simplify (/ -1 1) into -1 12.281 * [backup-simplify]: Simplify (sqrt 0) into 0 12.282 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.283 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 12.284 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 12.285 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 12.285 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in N 12.285 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt (/ -1 N))))) in N 12.285 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt (/ -1 N)))) in N 12.285 * [taylor]: Taking taylor expansion of 1/3 in N 12.285 * [backup-simplify]: Simplify 1/3 into 1/3 12.285 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 12.285 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 12.285 * [taylor]: Taking taylor expansion of (/ -1 N) in N 12.285 * [taylor]: Taking taylor expansion of -1 in N 12.286 * [backup-simplify]: Simplify -1 into -1 12.286 * [taylor]: Taking taylor expansion of N in N 12.286 * [backup-simplify]: Simplify 0 into 0 12.286 * [backup-simplify]: Simplify 1 into 1 12.286 * [backup-simplify]: Simplify (/ -1 1) into -1 12.286 * [backup-simplify]: Simplify (sqrt 0) into 0 12.288 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.288 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 12.289 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 12.291 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 12.292 * [backup-simplify]: Simplify (pow +nan.0 1/3) into (pow +nan.0 1/3) 12.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.296 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 12.301 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (log +nan.0))) into (- +nan.0) 12.305 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 12.305 * [backup-simplify]: Simplify (* +nan.0 (pow +nan.0 1/3)) into (* +nan.0 (pow +nan.0 1/3)) 12.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.317 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 12.318 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (log +nan.0)))) into (- +nan.0) 12.324 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 12.324 * [backup-simplify]: Simplify (* +nan.0 (pow +nan.0 1/3)) into (* +nan.0 (pow +nan.0 1/3)) 12.326 * [backup-simplify]: Simplify (+ (* (* +nan.0 (pow +nan.0 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* +nan.0 (pow +nan.0 1/3)) (/ 1 (- N))) (pow +nan.0 1/3))) into (- (pow +nan.0 1/3) (+ (* +nan.0 (* (/ 1 N) (pow +nan.0 1/3))) (- (* +nan.0 (* (/ 1 (pow N 2)) (pow +nan.0 1/3)))))) 12.326 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 1) 12.326 * [backup-simplify]: Simplify (cbrt (sqrt N)) into (pow N 1/6) 12.326 * [approximate]: Taking taylor expansion of (pow N 1/6) in (N) around 0 12.326 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 12.326 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 12.326 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 12.326 * [taylor]: Taking taylor expansion of 1/6 in N 12.326 * [backup-simplify]: Simplify 1/6 into 1/6 12.326 * [taylor]: Taking taylor expansion of (log N) in N 12.326 * [taylor]: Taking taylor expansion of N in N 12.326 * [backup-simplify]: Simplify 0 into 0 12.326 * [backup-simplify]: Simplify 1 into 1 12.327 * [backup-simplify]: Simplify (log 1) into 0 12.327 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.327 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 12.327 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 12.327 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 12.327 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 12.327 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 12.327 * [taylor]: Taking taylor expansion of 1/6 in N 12.327 * [backup-simplify]: Simplify 1/6 into 1/6 12.327 * [taylor]: Taking taylor expansion of (log N) in N 12.327 * [taylor]: Taking taylor expansion of N in N 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify 1 into 1 12.327 * [backup-simplify]: Simplify (log 1) into 0 12.328 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.328 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 12.328 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 12.328 * [backup-simplify]: Simplify (pow N 1/6) into (pow N 1/6) 12.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.329 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.336 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log N))) into 0 12.338 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 12.338 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.341 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.342 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log N)))) into 0 12.344 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.344 * [backup-simplify]: Simplify 0 into 0 12.349 * [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 12.350 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.351 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 12.353 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.353 * [backup-simplify]: Simplify 0 into 0 12.365 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.366 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.368 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 12.371 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.371 * [backup-simplify]: Simplify 0 into 0 12.390 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.391 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.393 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 12.397 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.397 * [backup-simplify]: Simplify 0 into 0 12.432 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.433 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 12.436 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 12.442 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.442 * [backup-simplify]: Simplify 0 into 0 12.442 * [backup-simplify]: Simplify (pow N 1/6) into (pow N 1/6) 12.442 * [backup-simplify]: Simplify (cbrt (sqrt (/ 1 N))) into (pow (/ 1 N) 1/6) 12.442 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/6) in (N) around 0 12.442 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 12.442 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 12.442 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 12.442 * [taylor]: Taking taylor expansion of 1/6 in N 12.442 * [backup-simplify]: Simplify 1/6 into 1/6 12.442 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 12.442 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.442 * [taylor]: Taking taylor expansion of N in N 12.442 * [backup-simplify]: Simplify 0 into 0 12.442 * [backup-simplify]: Simplify 1 into 1 12.443 * [backup-simplify]: Simplify (/ 1 1) into 1 12.443 * [backup-simplify]: Simplify (log 1) into 0 12.444 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.444 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 12.444 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 12.444 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 12.444 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 12.444 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 12.444 * [taylor]: Taking taylor expansion of 1/6 in N 12.444 * [backup-simplify]: Simplify 1/6 into 1/6 12.444 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 12.444 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.444 * [taylor]: Taking taylor expansion of N in N 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 1 into 1 12.445 * [backup-simplify]: Simplify (/ 1 1) into 1 12.445 * [backup-simplify]: Simplify (log 1) into 0 12.446 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.446 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 12.446 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 12.446 * [backup-simplify]: Simplify (pow N -1/6) into (pow N -1/6) 12.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.448 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.449 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.449 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log N)))) into 0 12.450 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 12.450 * [backup-simplify]: Simplify 0 into 0 12.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.455 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.455 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.456 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 12.458 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.458 * [backup-simplify]: Simplify 0 into 0 12.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.464 * [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 12.465 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.466 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 12.468 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.468 * [backup-simplify]: Simplify 0 into 0 12.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.482 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.483 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.485 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 12.488 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.488 * [backup-simplify]: Simplify 0 into 0 12.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.515 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.516 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.518 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 12.522 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.522 * [backup-simplify]: Simplify 0 into 0 12.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.558 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.559 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 12.561 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 12.566 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.566 * [backup-simplify]: Simplify 0 into 0 12.566 * [backup-simplify]: Simplify (pow (/ 1 N) -1/6) into (pow (/ 1 N) -1/6) 12.566 * [backup-simplify]: Simplify (cbrt (sqrt (/ 1 (- N)))) into (pow (sqrt (/ -1 N)) 1/3) 12.567 * [approximate]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in (N) around 0 12.567 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in N 12.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt (/ -1 N))))) in N 12.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt (/ -1 N)))) in N 12.567 * [taylor]: Taking taylor expansion of 1/3 in N 12.567 * [backup-simplify]: Simplify 1/3 into 1/3 12.567 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 12.567 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 12.567 * [taylor]: Taking taylor expansion of (/ -1 N) in N 12.567 * [taylor]: Taking taylor expansion of -1 in N 12.567 * [backup-simplify]: Simplify -1 into -1 12.567 * [taylor]: Taking taylor expansion of N in N 12.567 * [backup-simplify]: Simplify 0 into 0 12.567 * [backup-simplify]: Simplify 1 into 1 12.567 * [backup-simplify]: Simplify (/ -1 1) into -1 12.567 * [backup-simplify]: Simplify (sqrt 0) into 0 12.568 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.569 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 12.569 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 12.570 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 12.570 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 1/3) in N 12.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt (/ -1 N))))) in N 12.570 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt (/ -1 N)))) in N 12.570 * [taylor]: Taking taylor expansion of 1/3 in N 12.570 * [backup-simplify]: Simplify 1/3 into 1/3 12.570 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 12.570 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 12.570 * [taylor]: Taking taylor expansion of (/ -1 N) in N 12.570 * [taylor]: Taking taylor expansion of -1 in N 12.570 * [backup-simplify]: Simplify -1 into -1 12.570 * [taylor]: Taking taylor expansion of N in N 12.570 * [backup-simplify]: Simplify 0 into 0 12.570 * [backup-simplify]: Simplify 1 into 1 12.571 * [backup-simplify]: Simplify (/ -1 1) into -1 12.571 * [backup-simplify]: Simplify (sqrt 0) into 0 12.572 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.572 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 12.572 * [backup-simplify]: Simplify (* 1/3 (log +nan.0)) into (* 1/3 (log +nan.0)) 12.573 * [backup-simplify]: Simplify (exp (* 1/3 (log +nan.0))) into (pow +nan.0 1/3) 12.574 * [backup-simplify]: Simplify (pow +nan.0 1/3) into (pow +nan.0 1/3) 12.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.576 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 12.581 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (log +nan.0))) into (- +nan.0) 12.585 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 12.585 * [backup-simplify]: Simplify (* +nan.0 (pow +nan.0 1/3)) into (* +nan.0 (pow +nan.0 1/3)) 12.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.597 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 12.599 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (log +nan.0)))) into (- +nan.0) 12.609 * [backup-simplify]: Simplify (* (exp (* 1/3 (log +nan.0))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) 12.611 * [backup-simplify]: Simplify (* +nan.0 (pow +nan.0 1/3)) into (* +nan.0 (pow +nan.0 1/3)) 12.613 * [backup-simplify]: Simplify (+ (* (* +nan.0 (pow +nan.0 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* +nan.0 (pow +nan.0 1/3)) (/ 1 (- N))) (pow +nan.0 1/3))) into (- (pow +nan.0 1/3) (+ (* +nan.0 (* (/ 1 N) (pow +nan.0 1/3))) (- (* +nan.0 (* (/ 1 (pow N 2)) (pow +nan.0 1/3)))))) 12.613 * * * [progress]: simplifying candidates 12.613 * * * * [progress]: [ 1 / 153 ] simplifiying candidate # 12.614 * * * * [progress]: [ 2 / 153 ] simplifiying candidate # 12.614 * * * * [progress]: [ 3 / 153 ] simplifiying candidate # 12.614 * * * * [progress]: [ 4 / 153 ] simplifiying candidate # 12.614 * * * * [progress]: [ 5 / 153 ] simplifiying candidate # 12.614 * * * * [progress]: [ 6 / 153 ] simplifiying candidate # 12.614 * * * * [progress]: [ 7 / 153 ] simplifiying candidate # 12.614 * * * * [progress]: [ 8 / 153 ] simplifiying candidate # 12.614 * * * * [progress]: [ 9 / 153 ] simplifiying candidate # 12.614 * * * * [progress]: [ 10 / 153 ] simplifiying candidate # 12.614 * * * * [progress]: [ 11 / 153 ] 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12.619 * * * * [progress]: [ 73 / 153 ] simplifiying candidate # 12.620 * * * * [progress]: [ 74 / 153 ] simplifiying candidate # 12.620 * * * * [progress]: [ 75 / 153 ] simplifiying candidate # 12.620 * * * * [progress]: [ 76 / 153 ] simplifiying candidate # 12.620 * * * * [progress]: [ 77 / 153 ] simplifiying candidate # 12.620 * * * * [progress]: [ 78 / 153 ] simplifiying candidate # 12.620 * * * * [progress]: [ 79 / 153 ] simplifiying candidate # 12.620 * * * * [progress]: [ 80 / 153 ] simplifiying candidate # 12.620 * * * * [progress]: [ 81 / 153 ] simplifiying candidate # 12.620 * * * * [progress]: [ 82 / 153 ] simplifiying candidate # 12.620 * * * * [progress]: [ 83 / 153 ] simplifiying candidate # 12.620 * * * * [progress]: [ 84 / 153 ] simplifiying candidate # 12.620 * * * * [progress]: [ 85 / 153 ] simplifiying candidate # 12.621 * * * * [progress]: [ 86 / 153 ] simplifiying candidate # 12.621 * * * * [progress]: [ 87 / 153 ] simplifiying candidate # 12.621 * * * * [progress]: [ 88 / 153 ] simplifiying candidate # 12.621 * * * * [progress]: [ 89 / 153 ] simplifiying candidate # 12.621 * * * * [progress]: [ 90 / 153 ] simplifiying candidate # 12.621 * * * * [progress]: [ 91 / 153 ] simplifiying candidate # 12.621 * * * * [progress]: [ 92 / 153 ] simplifiying candidate # 12.621 * * * * [progress]: [ 93 / 153 ] simplifiying candidate # 12.621 * * * * [progress]: [ 94 / 153 ] simplifiying candidate # 12.621 * * * * [progress]: [ 95 / 153 ] simplifiying candidate #real (real->posit16 (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))))))> 12.621 * * * * [progress]: [ 96 / 153 ] simplifiying candidate # 12.621 * * * * [progress]: [ 97 / 153 ] simplifiying candidate # 12.621 * * * * [progress]: [ 98 / 153 ] simplifiying candidate # 12.621 * * * * [progress]: [ 99 / 153 ] simplifiying candidate # 12.622 * * * * [progress]: [ 100 / 153 ] simplifiying candidate # 12.622 * * * * [progress]: [ 101 / 153 ] simplifiying candidate # 12.622 * * * * [progress]: [ 102 / 153 ] simplifiying candidate # 12.622 * * * * [progress]: [ 103 / 153 ] simplifiying candidate # 12.622 * * * * [progress]: [ 104 / 153 ] simplifiying candidate # 12.622 * * * * [progress]: [ 105 / 153 ] simplifiying candidate # 12.622 * * * * [progress]: [ 106 / 153 ] simplifiying candidate # 12.622 * * * * [progress]: [ 107 / 153 ] simplifiying candidate # 12.622 * * * * [progress]: [ 108 / 153 ] simplifiying candidate # 12.622 * * * * [progress]: [ 109 / 153 ] simplifiying candidate # 12.622 * * * * [progress]: [ 110 / 153 ] simplifiying candidate # 12.622 * * * * [progress]: [ 111 / 153 ] simplifiying candidate #real (real->posit16 (cbrt (sqrt N))))))))> 12.622 * * * * [progress]: [ 112 / 153 ] simplifiying candidate # 12.622 * * * * [progress]: [ 113 / 153 ] simplifiying candidate # 12.623 * * * * [progress]: [ 114 / 153 ] simplifiying candidate # 12.623 * * * * [progress]: [ 115 / 153 ] simplifiying candidate # 12.623 * * * * [progress]: [ 116 / 153 ] simplifiying candidate # 12.623 * * * * [progress]: [ 117 / 153 ] simplifiying candidate # 12.623 * * * * [progress]: [ 118 / 153 ] simplifiying candidate # 12.623 * * * * [progress]: [ 119 / 153 ] simplifiying candidate # 12.623 * * * * [progress]: [ 120 / 153 ] simplifiying candidate # 12.623 * * * * [progress]: [ 121 / 153 ] simplifiying candidate # 12.623 * * * * [progress]: [ 122 / 153 ] simplifiying candidate # 12.623 * * * * [progress]: [ 123 / 153 ] simplifiying candidate # 12.623 * * * * [progress]: [ 124 / 153 ] simplifiying candidate # 12.623 * * * * [progress]: [ 125 / 153 ] simplifiying candidate # 12.623 * * * * [progress]: [ 126 / 153 ] simplifiying candidate #real (real->posit16 (cbrt (sqrt N)))))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))))> 12.623 * * * * [progress]: [ 127 / 153 ] simplifiying candidate # 12.624 * * * * [progress]: [ 128 / 153 ] simplifiying candidate # 12.624 * * * * [progress]: [ 129 / 153 ] simplifiying candidate # 12.624 * * * * [progress]: [ 130 / 153 ] simplifiying candidate # 12.624 * * * * [progress]: [ 131 / 153 ] simplifiying candidate # 12.624 * * * * [progress]: [ 132 / 153 ] simplifiying candidate # 12.624 * * * * [progress]: [ 133 / 153 ] simplifiying candidate # 12.624 * * * * [progress]: [ 134 / 153 ] simplifiying candidate # 12.624 * * * * [progress]: [ 135 / 153 ] simplifiying candidate # 12.624 * * * * [progress]: [ 136 / 153 ] simplifiying candidate # 12.624 * * * * [progress]: [ 137 / 153 ] simplifiying candidate # 12.624 * * * * [progress]: [ 138 / 153 ] simplifiying candidate # 12.624 * * * * [progress]: [ 139 / 153 ] simplifiying candidate # 12.624 * * * * [progress]: [ 140 / 153 ] simplifiying candidate # 12.624 * * * * [progress]: [ 141 / 153 ] simplifiying candidate #real (real->posit16 (cbrt (sqrt N)))) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))))> 12.624 * * * * [progress]: [ 142 / 153 ] simplifiying candidate # 12.625 * * * * [progress]: [ 143 / 153 ] simplifiying candidate # 12.625 * * * * [progress]: [ 144 / 153 ] simplifiying candidate # 12.625 * * * * [progress]: [ 145 / 153 ] simplifiying candidate # 12.625 * * * * [progress]: [ 146 / 153 ] simplifiying candidate # 12.625 * * * * [progress]: [ 147 / 153 ] simplifiying candidate # 12.625 * * * * [progress]: [ 148 / 153 ] simplifiying candidate # 12.625 * * * * [progress]: [ 149 / 153 ] simplifiying candidate # 12.625 * * * * [progress]: [ 150 / 153 ] simplifiying candidate # 12.625 * * * * [progress]: [ 151 / 153 ] simplifiying candidate # 12.625 * * * * [progress]: [ 152 / 153 ] simplifiying candidate # 12.625 * * * * [progress]: [ 153 / 153 ] simplifiying candidate # 12.632 * [simplify]: Simplifying: (* (* (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (/ (cbrt (+ N 1)) (cbrt (sqrt N)))) (* (exp (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N))))))) (/ (cbrt (+ N 1)) (cbrt (sqrt N)))) (log (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N)))))) (exp (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N)))))) (* (cbrt (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N)))))) (cbrt (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))))) (cbrt (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N)))))) (* (* (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N)))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N)))))) (sqrt (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N)))))) (sqrt (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N)))))) (+ (pow (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) 3) (pow (log (/ (cbrt (+ N 1)) (cbrt (sqrt N)))) 3)) (+ (* (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N))))))) (- (* (log (/ (cbrt (+ N 1)) (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))) (* (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))))) (- (* (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N))))))) (* (log (/ (cbrt (+ N 1)) (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N)))))) (- (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (+ N 1)) (cbrt (sqrt N))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (* (cbrt (/ (cbrt (+ N 1)) (cbrt (sqrt N)))) (cbrt (/ (cbrt (+ N 1)) (cbrt (sqrt N))))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (sqrt (/ (cbrt (+ N 1)) (cbrt (sqrt N)))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (* (cbrt (sqrt N)) (cbrt (sqrt N))))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (sqrt (* (cbrt N) (cbrt N))))))) (+ (+ (log (/ (* (cbrt (+ N 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(log (/ (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (sqrt (cbrt (sqrt N)))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (sqrt (+ N 1))) (cbrt (* (cbrt (sqrt N)) (cbrt (sqrt N))))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (sqrt (+ N 1))) (cbrt (sqrt (* (cbrt N) (cbrt N))))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (sqrt (+ N 1))) (cbrt (sqrt (sqrt N)))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (log (/ (cbrt (sqrt (+ N 1))) (cbrt (sqrt 1))))) (+ (+ (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ 1 (* (cbrt 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