21.081 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.097 * * * [progress]: [2/2] Setting up program. 0.101 * [progress]: [Phase 2 of 3] Improving. 0.101 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.101 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.101 * * [simplify]: iteration 0: 6 enodes 0.103 * * [simplify]: iteration 1: 11 enodes 0.106 * * [simplify]: iteration 2: 12 enodes 0.109 * * [simplify]: iteration complete: 12 enodes 0.109 * * [simplify]: Extracting #0: cost 1 inf + 0 0.109 * * [simplify]: Extracting #1: cost 4 inf + 0 0.109 * * [simplify]: Extracting #2: cost 6 inf + 0 0.109 * * [simplify]: Extracting #3: cost 4 inf + 183 0.109 * * [simplify]: Extracting #4: cost 0 inf + 560 0.109 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.110 * * [progress]: iteration 1 / 4 0.110 * * * [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) 0.144 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.159 * * * [progress]: generating series expansions 0.159 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.159 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.159 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.159 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.159 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of 1 in N 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (+ 0 1) into 1 0.160 * [backup-simplify]: Simplify (log 1) into 0 0.160 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.160 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.160 * [taylor]: Taking taylor expansion of N in N 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [taylor]: Taking taylor expansion of 1 in N 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (+ 0 1) into 1 0.160 * [backup-simplify]: Simplify (log 1) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ 1 0) into 1 0.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.164 * [backup-simplify]: Simplify -1/2 into -1/2 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [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 0.167 * [backup-simplify]: Simplify 1/3 into 1/3 0.167 * [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))) 0.168 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.168 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 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 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [taylor]: Taking taylor expansion of 1 in N 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (+ 1 0) into 1 0.169 * [backup-simplify]: Simplify (log 1) into 0 0.169 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [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 0.175 * [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 0.178 * [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 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.181 * [backup-simplify]: Simplify -1/2 into -1/2 0.182 * [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)))) 0.182 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.182 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.182 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.182 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.182 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.182 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of 1 in N 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (+ 0 1) into 1 0.183 * [backup-simplify]: Simplify (log 1) into 0 0.183 * [taylor]: Taking taylor expansion of (log N) 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 * [backup-simplify]: Simplify (log 1) into 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 0.184 * [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 0.184 * [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 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.184 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.184 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.184 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.185 * [backup-simplify]: Simplify (+ 1 0) into 1 0.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.195 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ 1 0) into 1 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.199 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.200 * [backup-simplify]: Simplify -1/2 into -1/2 0.200 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.200 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.200 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.200 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.200 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.201 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [taylor]: Taking taylor expansion of 1 in N 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (+ 1 0) into 1 0.202 * [backup-simplify]: Simplify (log 1) into 0 0.202 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (log 1) into 0 0.203 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.203 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [taylor]: Taking taylor expansion of 1 in N 0.203 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (+ 1 0) into 1 0.204 * [backup-simplify]: Simplify (log 1) into 0 0.204 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [backup-simplify]: Simplify (log 1) into 0 0.206 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.207 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.207 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.207 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ 0 1) into 1 0.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.212 * [backup-simplify]: Simplify (- 0) into 0 0.212 * [backup-simplify]: Simplify (+ 1 0) into 1 0.212 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.221 * [backup-simplify]: Simplify -1/2 into -1/2 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [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 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [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 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.235 * [backup-simplify]: Simplify 1/3 into 1/3 0.235 * [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)))) 0.235 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.235 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 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 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [backup-simplify]: Simplify (- 1) into -1 0.237 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.237 * [backup-simplify]: Simplify (log -1) into (log -1) 0.237 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.237 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.237 * [taylor]: Taking taylor expansion of -1 in N 0.237 * [backup-simplify]: Simplify -1 into -1 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (/ -1 1) into -1 0.238 * [backup-simplify]: Simplify (log -1) into (log -1) 0.238 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.238 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.238 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.239 * [taylor]: Taking taylor expansion of 1 in N 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.239 * [taylor]: Taking taylor expansion of N in N 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [backup-simplify]: Simplify (- 1) into -1 0.240 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.240 * [backup-simplify]: Simplify (log -1) into (log -1) 0.240 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.240 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.240 * [taylor]: Taking taylor expansion of -1 in N 0.240 * [backup-simplify]: Simplify -1 into -1 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ -1 1) into -1 0.241 * [backup-simplify]: Simplify (log -1) into (log -1) 0.242 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.243 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.243 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.244 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 1 0) into 1 0.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.248 * [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 0.250 * [backup-simplify]: Simplify (+ -1 0) into -1 0.250 * [backup-simplify]: Simplify -1 into -1 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (- 0) 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 0.267 * [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 0.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [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 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.275 * [backup-simplify]: Simplify -1/3 into -1/3 0.276 * [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)))) 0.276 * * * [progress]: simplifying candidates 0.276 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.276 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 16 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.277 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.277 * * * * [progress]: [ 27 / 49 ] simplifiying candidate # 0.278 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.278 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.278 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.278 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.278 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.278 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.278 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.278 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.278 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.278 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.278 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.278 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.278 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.278 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.278 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.278 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.278 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.279 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.279 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.279 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.279 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.279 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.280 * [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)))) 0.281 * * [simplify]: iteration 0: 97 enodes 0.326 * * [simplify]: iteration 1: 200 enodes 0.394 * * [simplify]: iteration 2: 452 enodes 0.569 * * [simplify]: iteration 3: 1329 enodes 1.413 * * [simplify]: iteration 4: 3749 enodes 2.491 * * [simplify]: iteration complete: 5001 enodes 2.491 * * [simplify]: Extracting #0: cost 41 inf + 0 2.491 * * [simplify]: Extracting #1: cost 232 inf + 1 2.494 * * [simplify]: Extracting #2: cost 658 inf + 2201 2.502 * * [simplify]: Extracting #3: cost 608 inf + 38354 2.529 * * [simplify]: Extracting #4: cost 373 inf + 98233 2.584 * * [simplify]: Extracting #5: cost 165 inf + 194562 2.626 * * [simplify]: Extracting #6: cost 32 inf + 218575 2.661 * * [simplify]: Extracting #7: cost 0 inf + 228567 2.723 * [simplify]: Simplified to: (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (+ 1 N)) 0 (log (+ 1 N)) (log (+ (* (* N N) N) 1)) (log (- (+ (* N N) 1) N)) (log (- (* N N) 1)) (log (- N 1)) (log (+ 1 N)) (log (log (+ 1 N))) (+ 1 N) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (log (+ 1 N))) (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N))) (real->posit16 (log (+ 1 N))) (/ (+ 1 N) N) (log (- (log (+ 1 N)) (log N))) (/ (+ 1 N) N) (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) (cbrt (- (log (+ 1 N)) (log N))) (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (- (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (* (log N) (* (log N) (log N)))) (+ (* (log (+ 1 N)) (+ (log (+ 1 N)) (log N))) (* (log N) (log N))) (- (log N)) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (+ (log (+ 1 N)) (log N)) (+ (sqrt (log (+ 1 N))) (sqrt (log N))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (- (log (+ 1 N)) (log (cbrt N))) (log (cbrt N))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (- (+ (* N N) 1) N)) (log N)) (+ (log N) (log (- N 1))) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (+ (* N (* N (+ (* N 1/3) -1/2))) N) (- (+ (/ 1 N) (log N)) (/ (/ 1/2 N) N)) (- (+ (/ 1 N) (log N)) (/ (/ 1/2 N) N)) (- (- N (log N)) (/ (* N N) 2)) (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) (- (/ 1 N) (* (/ (/ 1 N) N) (- 1/2 (/ 1/3 N)))) 2.727 * * * [progress]: adding candidates to table 2.993 * * [progress]: iteration 2 / 4 2.993 * * * [progress]: picking best candidate 3.004 * * * * [pick]: Picked # 3.005 * * * [progress]: localizing error 3.025 * * * [progress]: generating rewritten candidates 3.025 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.030 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.044 * * * [progress]: generating series expansions 3.044 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.044 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 3.044 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 3.044 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.044 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.044 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.044 * [taylor]: Taking taylor expansion of N in N 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 1 into 1 3.044 * [taylor]: Taking taylor expansion of 1 in N 3.044 * [backup-simplify]: Simplify 1 into 1 3.044 * [taylor]: Taking taylor expansion of N in N 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 1 into 1 3.045 * [backup-simplify]: Simplify (+ 0 1) into 1 3.045 * [backup-simplify]: Simplify (/ 1 1) into 1 3.046 * [backup-simplify]: Simplify (log 1) into 0 3.046 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.046 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.046 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.046 * [taylor]: Taking taylor expansion of N in N 3.046 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify 1 into 1 3.046 * [taylor]: Taking taylor expansion of 1 in N 3.046 * [backup-simplify]: Simplify 1 into 1 3.046 * [taylor]: Taking taylor expansion of N in N 3.046 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify 1 into 1 3.046 * [backup-simplify]: Simplify (+ 0 1) into 1 3.046 * [backup-simplify]: Simplify (/ 1 1) into 1 3.047 * [backup-simplify]: Simplify (log 1) into 0 3.047 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.047 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.047 * [backup-simplify]: Simplify (+ 1 0) into 1 3.048 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.049 * [backup-simplify]: Simplify 1 into 1 3.049 * [backup-simplify]: Simplify (+ 0 0) into 0 3.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.051 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.051 * [backup-simplify]: Simplify -1/2 into -1/2 3.051 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 3.051 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 3.051 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 3.051 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.051 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.051 * [taylor]: Taking taylor expansion of N in N 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 1 into 1 3.051 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.051 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.051 * [taylor]: Taking taylor expansion of N in N 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 1 into 1 3.051 * [backup-simplify]: Simplify (/ 1 1) into 1 3.051 * [taylor]: Taking taylor expansion of 1 in N 3.051 * [backup-simplify]: Simplify 1 into 1 3.052 * [backup-simplify]: Simplify (+ 1 0) into 1 3.052 * [backup-simplify]: Simplify (* 0 1) into 0 3.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.053 * [backup-simplify]: Simplify (+ 0 1) into 1 3.053 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.053 * [backup-simplify]: Simplify (log 1) into 0 3.053 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.053 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.054 * [taylor]: Taking taylor expansion of N in N 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.054 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.054 * [taylor]: Taking taylor expansion of N in N 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [backup-simplify]: Simplify (/ 1 1) into 1 3.054 * [taylor]: Taking taylor expansion of 1 in N 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [backup-simplify]: Simplify (+ 1 0) into 1 3.054 * [backup-simplify]: Simplify (* 0 1) into 0 3.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.055 * [backup-simplify]: Simplify (+ 0 1) into 1 3.056 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.056 * [backup-simplify]: Simplify (log 1) into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.057 * [backup-simplify]: Simplify (+ 0 0) into 0 3.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.058 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.058 * [backup-simplify]: Simplify 1 into 1 3.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.059 * [backup-simplify]: Simplify (+ 0 0) into 0 3.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.061 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.061 * [backup-simplify]: Simplify -1/2 into -1/2 3.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.062 * [backup-simplify]: Simplify (+ 0 0) into 0 3.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.067 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 3.067 * [backup-simplify]: Simplify 1/3 into 1/3 3.068 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.068 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 3.068 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 3.068 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.068 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.068 * [taylor]: Taking taylor expansion of -1 in N 3.068 * [backup-simplify]: Simplify -1 into -1 3.068 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.068 * [taylor]: Taking taylor expansion of N in N 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify 1 into 1 3.068 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.068 * [taylor]: Taking taylor expansion of 1 in N 3.068 * [backup-simplify]: Simplify 1 into 1 3.068 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.068 * [taylor]: Taking taylor expansion of N in N 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify 1 into 1 3.069 * [backup-simplify]: Simplify (/ 1 1) into 1 3.069 * [backup-simplify]: Simplify (- 1) into -1 3.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.070 * [backup-simplify]: Simplify (* 0 -1) into 0 3.070 * [backup-simplify]: Simplify (* -1 0) into 0 3.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.072 * [backup-simplify]: Simplify (- 0) into 0 3.072 * [backup-simplify]: Simplify (+ 1 0) into 1 3.073 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.073 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.074 * [backup-simplify]: Simplify (log 1) into 0 3.074 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.074 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.074 * [taylor]: Taking taylor expansion of -1 in N 3.074 * [backup-simplify]: Simplify -1 into -1 3.074 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.074 * [taylor]: Taking taylor expansion of N in N 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 1 into 1 3.074 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.074 * [taylor]: Taking taylor expansion of 1 in N 3.074 * [backup-simplify]: Simplify 1 into 1 3.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.074 * [taylor]: Taking taylor expansion of N in N 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 1 into 1 3.074 * [backup-simplify]: Simplify (/ 1 1) into 1 3.075 * [backup-simplify]: Simplify (- 1) into -1 3.075 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.076 * [backup-simplify]: Simplify (* 0 -1) into 0 3.076 * [backup-simplify]: Simplify (* -1 0) into 0 3.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.077 * [backup-simplify]: Simplify (- 0) into 0 3.078 * [backup-simplify]: Simplify (+ 1 0) into 1 3.078 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.079 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.079 * [backup-simplify]: Simplify (log 1) into 0 3.079 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.081 * [backup-simplify]: Simplify (- 0) into 0 3.081 * [backup-simplify]: Simplify (+ 0 0) into 0 3.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.083 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.085 * [backup-simplify]: Simplify -1 into -1 3.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (- 0) into 0 3.086 * [backup-simplify]: Simplify (+ 0 0) into 0 3.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.089 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.092 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.092 * [backup-simplify]: Simplify -1/2 into -1/2 3.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (- 0) into 0 3.094 * [backup-simplify]: Simplify (+ 0 0) into 0 3.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.097 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.103 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 3.103 * [backup-simplify]: Simplify -1/3 into -1/3 3.104 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.104 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.104 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 3.104 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 3.104 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.104 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.104 * [taylor]: Taking taylor expansion of N in N 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify 1 into 1 3.104 * [taylor]: Taking taylor expansion of 1 in N 3.104 * [backup-simplify]: Simplify 1 into 1 3.104 * [taylor]: Taking taylor expansion of N in N 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify 1 into 1 3.105 * [backup-simplify]: Simplify (+ 0 1) into 1 3.105 * [backup-simplify]: Simplify (/ 1 1) into 1 3.105 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.105 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.105 * [taylor]: Taking taylor expansion of N in N 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [taylor]: Taking taylor expansion of 1 in N 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [taylor]: Taking taylor expansion of N in N 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [backup-simplify]: Simplify (+ 0 1) into 1 3.107 * [backup-simplify]: Simplify (/ 1 1) into 1 3.107 * [backup-simplify]: Simplify 1 into 1 3.107 * [backup-simplify]: Simplify (+ 1 0) into 1 3.108 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.108 * [backup-simplify]: Simplify 1 into 1 3.109 * [backup-simplify]: Simplify (+ 0 0) into 0 3.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (+ 0 0) into 0 3.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify (+ 0 0) into 0 3.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify (+ 0 0) into 0 3.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.114 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify (+ 0 0) into 0 3.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.116 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify (+ 0 0) into 0 3.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 3.125 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 3.125 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 3.125 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.125 * [taylor]: Taking taylor expansion of N in N 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify 1 into 1 3.125 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.125 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.125 * [taylor]: Taking taylor expansion of N in N 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify 1 into 1 3.127 * [backup-simplify]: Simplify (/ 1 1) into 1 3.127 * [taylor]: Taking taylor expansion of 1 in N 3.127 * [backup-simplify]: Simplify 1 into 1 3.127 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.127 * [taylor]: Taking taylor expansion of N in N 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 1 into 1 3.127 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.127 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.127 * [taylor]: Taking taylor expansion of N in N 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 1 into 1 3.128 * [backup-simplify]: Simplify (/ 1 1) into 1 3.128 * [taylor]: Taking taylor expansion of 1 in N 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [backup-simplify]: Simplify (+ 1 0) into 1 3.128 * [backup-simplify]: Simplify (* 0 1) into 0 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.129 * [backup-simplify]: Simplify (+ 0 1) into 1 3.130 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.130 * [backup-simplify]: Simplify 1 into 1 3.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.131 * [backup-simplify]: Simplify (+ 0 0) into 0 3.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.132 * [backup-simplify]: Simplify 1 into 1 3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.133 * [backup-simplify]: Simplify (+ 0 0) into 0 3.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.133 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (+ 0 0) into 0 3.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (+ 0 0) into 0 3.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (+ 0 0) into 0 3.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [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 3.140 * [backup-simplify]: Simplify (+ 0 0) into 0 3.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 3.140 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.141 * [backup-simplify]: Simplify (+ 0 0) into 0 3.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 3.142 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 3.143 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 3.143 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 3.143 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.143 * [taylor]: Taking taylor expansion of -1 in N 3.143 * [backup-simplify]: Simplify -1 into -1 3.143 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.143 * [taylor]: Taking taylor expansion of N in N 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.143 * [taylor]: Taking taylor expansion of 1 in N 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.143 * [taylor]: Taking taylor expansion of N in N 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [backup-simplify]: Simplify (/ 1 1) into 1 3.143 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.143 * [taylor]: Taking taylor expansion of -1 in N 3.143 * [backup-simplify]: Simplify -1 into -1 3.143 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.143 * [taylor]: Taking taylor expansion of N in N 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.143 * [taylor]: Taking taylor expansion of 1 in N 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.143 * [taylor]: Taking taylor expansion of N in N 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 1 into 1 3.144 * [backup-simplify]: Simplify (/ 1 1) into 1 3.144 * [backup-simplify]: Simplify (- 1) into -1 3.144 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.145 * [backup-simplify]: Simplify (* 0 -1) into 0 3.145 * [backup-simplify]: Simplify (* -1 0) into 0 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.146 * [backup-simplify]: Simplify (- 0) into 0 3.146 * [backup-simplify]: Simplify (+ 1 0) into 1 3.146 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.147 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.147 * [backup-simplify]: Simplify 1 into 1 3.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.147 * [backup-simplify]: Simplify (- 0) into 0 3.148 * [backup-simplify]: Simplify (+ 0 0) into 0 3.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.149 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.149 * [backup-simplify]: Simplify -1 into -1 3.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (- 0) into 0 3.150 * [backup-simplify]: Simplify (+ 0 0) into 0 3.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.153 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.153 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.154 * [backup-simplify]: Simplify (- 0) into 0 3.154 * [backup-simplify]: Simplify (+ 0 0) into 0 3.155 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.156 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.156 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.157 * [backup-simplify]: Simplify (- 0) into 0 3.158 * [backup-simplify]: Simplify (+ 0 0) into 0 3.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 3.160 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.160 * [backup-simplify]: Simplify (- 0) into 0 3.161 * [backup-simplify]: Simplify (+ 0 0) into 0 3.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 3.163 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 3.163 * [backup-simplify]: Simplify 0 into 0 3.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.164 * [backup-simplify]: Simplify (- 0) into 0 3.164 * [backup-simplify]: Simplify (+ 0 0) into 0 3.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 3.166 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.167 * [backup-simplify]: Simplify (- 0) into 0 3.168 * [backup-simplify]: Simplify (+ 0 0) into 0 3.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 3.172 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 3.172 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 3.173 * * * [progress]: simplifying candidates 3.173 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 3.173 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 3.173 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 3.173 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 3.173 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 3.173 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 3.173 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 3.173 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 3.173 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 3.173 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 3.173 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 3.173 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 3.174 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 3.174 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 3.174 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 3.174 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 3.174 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 3.174 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 3.174 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 3.174 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 3.174 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 3.174 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 3.174 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 3.174 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 3.174 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 3.174 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 3.174 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 3.174 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 3.174 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 3.175 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 3.176 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 3.176 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 3.176 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 3.176 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 3.176 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 3.176 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 3.176 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 3.176 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 3.176 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 3.176 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 3.176 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 3.176 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 3.176 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 3.176 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 3.176 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 3.176 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 3.177 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 3.177 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 3.177 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 3.177 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 3.177 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 3.177 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 3.178 * [simplify]: Simplifying: (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 (+ 1 N))) (* (cbrt 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)) (cbrt (+ 1 N))) 1)) (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)) 1)) (log (/ (sqrt (+ 1 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log 1) (log (/ (+ 1 N) N)) (log (+ 1 N)) (log (/ 1 N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (exp (log (/ (+ 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)) (log N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (/ (* (* (+ 1 N) (+ 1 N)) (+ 1 N)) (* (* N N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- (+ 1 N)) (- N) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (/ (+ 1 N) 1) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (* 1 1) (- (* N N) (* 1 N)))) (* N (- 1 N)) (real->posit16 (/ (+ 1 N) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 3.180 * * [simplify]: iteration 0: 102 enodes 3.207 * * [simplify]: iteration 1: 233 enodes 3.298 * * [simplify]: iteration 2: 578 enodes 3.579 * * [simplify]: iteration 3: 2187 enodes 4.309 * * [simplify]: iteration complete: 5300 enodes 4.309 * * [simplify]: Extracting #0: cost 65 inf + 0 4.310 * * [simplify]: Extracting #1: cost 756 inf + 2 4.318 * * [simplify]: Extracting #2: cost 1734 inf + 5433 4.361 * * [simplify]: Extracting #3: cost 1883 inf + 94408 4.430 * * [simplify]: Extracting #4: cost 861 inf + 336335 4.531 * * [simplify]: Extracting #5: cost 122 inf + 569476 4.635 * * [simplify]: Extracting #6: cost 0 inf + 608229 4.733 * [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)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log (+ 1 N)) (- (log N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 1 N) N) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- -1 N) (- N) (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N)))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N)) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (/ (+ 1 N) (cbrt N)) (cbrt N)) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (+ (* N (- (* N N) N)) N) (* (- 1 N) N) (real->posit16 (/ (+ 1 N) N)) (- (+ N (* (* N N) -1/2)) (log N)) (+ (/ 1 N) (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2))) (+ (/ 1 N) (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 4.735 * * * [progress]: adding candidates to table 4.934 * * [progress]: iteration 3 / 4 4.934 * * * [progress]: picking best candidate 4.946 * * * * [pick]: Picked # 4.946 * * * [progress]: localizing error 4.982 * * * [progress]: generating rewritten candidates 4.982 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.990 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 5.004 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.015 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 5.029 * * * [progress]: generating series expansions 5.029 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.030 * [backup-simplify]: Simplify (log (sqrt (+ 1 N))) into (log (sqrt (+ N 1))) 5.030 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 5.030 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.030 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.030 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.030 * [taylor]: Taking taylor expansion of N in N 5.030 * [backup-simplify]: Simplify 0 into 0 5.030 * [backup-simplify]: Simplify 1 into 1 5.030 * [taylor]: Taking taylor expansion of 1 in N 5.030 * [backup-simplify]: Simplify 1 into 1 5.031 * [backup-simplify]: Simplify (+ 0 1) into 1 5.031 * [backup-simplify]: Simplify (sqrt 1) into 1 5.032 * [backup-simplify]: Simplify (+ 1 0) into 1 5.032 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.033 * [backup-simplify]: Simplify (log 1) into 0 5.033 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.033 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.033 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.033 * [taylor]: Taking taylor expansion of N in N 5.033 * [backup-simplify]: Simplify 0 into 0 5.033 * [backup-simplify]: Simplify 1 into 1 5.033 * [taylor]: Taking taylor expansion of 1 in N 5.033 * [backup-simplify]: Simplify 1 into 1 5.033 * [backup-simplify]: Simplify (+ 0 1) into 1 5.034 * [backup-simplify]: Simplify (sqrt 1) into 1 5.034 * [backup-simplify]: Simplify (+ 1 0) into 1 5.035 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.035 * [backup-simplify]: Simplify (log 1) into 0 5.035 * [backup-simplify]: Simplify 0 into 0 5.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.036 * [backup-simplify]: Simplify 1/2 into 1/2 5.037 * [backup-simplify]: Simplify (+ 0 0) into 0 5.037 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.039 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.039 * [backup-simplify]: Simplify -1/4 into -1/4 5.039 * [backup-simplify]: Simplify (+ 0 0) into 0 5.040 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.043 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 5.043 * [backup-simplify]: Simplify 1/6 into 1/6 5.043 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 5.043 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 N)))) into (log (sqrt (+ (/ 1 N) 1))) 5.043 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 5.043 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.043 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.044 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.044 * [taylor]: Taking taylor expansion of N in N 5.044 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify 1 into 1 5.044 * [backup-simplify]: Simplify (/ 1 1) into 1 5.044 * [taylor]: Taking taylor expansion of 1 in N 5.044 * [backup-simplify]: Simplify 1 into 1 5.044 * [backup-simplify]: Simplify (+ 1 0) into 1 5.044 * [backup-simplify]: Simplify (sqrt 0) into 0 5.045 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.046 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.046 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.046 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.046 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.046 * [taylor]: Taking taylor expansion of N in N 5.046 * [backup-simplify]: Simplify 0 into 0 5.046 * [backup-simplify]: Simplify 1 into 1 5.046 * [backup-simplify]: Simplify (/ 1 1) into 1 5.046 * [taylor]: Taking taylor expansion of 1 in N 5.046 * [backup-simplify]: Simplify 1 into 1 5.046 * [backup-simplify]: Simplify (+ 1 0) into 1 5.047 * [backup-simplify]: Simplify (sqrt 0) into 0 5.047 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.048 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.048 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.049 * [backup-simplify]: Simplify (+ 0 1) into 1 5.051 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.054 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.055 * [backup-simplify]: Simplify (+ 0 0) into 0 5.058 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.066 * [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 5.066 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.066 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.066 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 (- N))))) into (log (sqrt (- 1 (/ 1 N)))) 5.066 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 5.066 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.066 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.066 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.066 * [taylor]: Taking taylor expansion of 1 in N 5.066 * [backup-simplify]: Simplify 1 into 1 5.066 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.066 * [taylor]: Taking taylor expansion of N in N 5.066 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify 1 into 1 5.067 * [backup-simplify]: Simplify (/ 1 1) into 1 5.067 * [backup-simplify]: Simplify (- 1) into -1 5.067 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.067 * [backup-simplify]: Simplify (sqrt 0) into 0 5.068 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.068 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.069 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.069 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.069 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.069 * [taylor]: Taking taylor expansion of 1 in N 5.069 * [backup-simplify]: Simplify 1 into 1 5.069 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.069 * [taylor]: Taking taylor expansion of N in N 5.069 * [backup-simplify]: Simplify 0 into 0 5.069 * [backup-simplify]: Simplify 1 into 1 5.069 * [backup-simplify]: Simplify (/ 1 1) into 1 5.069 * [backup-simplify]: Simplify (- 1) into -1 5.069 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.070 * [backup-simplify]: Simplify (sqrt 0) into 0 5.071 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.071 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.071 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.072 * [backup-simplify]: Simplify (- 0) into 0 5.073 * [backup-simplify]: Simplify (+ 1 0) into 1 5.076 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.083 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.083 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.084 * [backup-simplify]: Simplify (- 0) into 0 5.084 * [backup-simplify]: Simplify (+ 0 0) into 0 5.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.096 * [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 5.096 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.096 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.096 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.097 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) into (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) 5.097 * [approximate]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in (N) around 0 5.097 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 5.097 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 5.097 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.097 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.097 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.097 * [taylor]: Taking taylor expansion of N in N 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify 1 into 1 5.097 * [taylor]: Taking taylor expansion of 1 in N 5.097 * [backup-simplify]: Simplify 1 into 1 5.097 * [backup-simplify]: Simplify (+ 0 1) into 1 5.098 * [backup-simplify]: Simplify (sqrt 1) into 1 5.098 * [backup-simplify]: Simplify (+ 1 0) into 1 5.098 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.098 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.098 * [taylor]: Taking taylor expansion of N in N 5.098 * [backup-simplify]: Simplify 0 into 0 5.098 * [backup-simplify]: Simplify 1 into 1 5.099 * [backup-simplify]: Simplify (/ 1 1) into 1 5.099 * [backup-simplify]: Simplify (* 1 1) into 1 5.099 * [backup-simplify]: Simplify (log 1) into 0 5.099 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.099 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.099 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.099 * [taylor]: Taking taylor expansion of N in N 5.099 * [backup-simplify]: Simplify 0 into 0 5.099 * [backup-simplify]: Simplify 1 into 1 5.099 * [taylor]: Taking taylor expansion of 1 in N 5.099 * [backup-simplify]: Simplify 1 into 1 5.100 * [backup-simplify]: Simplify (+ 0 1) into 1 5.100 * [backup-simplify]: Simplify (sqrt 1) into 1 5.100 * [backup-simplify]: Simplify (+ 1 0) into 1 5.100 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.101 * [backup-simplify]: Simplify (log 1) into 0 5.101 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 5.101 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 5.101 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.101 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.101 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.101 * [taylor]: Taking taylor expansion of N in N 5.101 * [backup-simplify]: Simplify 0 into 0 5.101 * [backup-simplify]: Simplify 1 into 1 5.101 * [taylor]: Taking taylor expansion of 1 in N 5.101 * [backup-simplify]: Simplify 1 into 1 5.101 * [backup-simplify]: Simplify (+ 0 1) into 1 5.101 * [backup-simplify]: Simplify (sqrt 1) into 1 5.102 * [backup-simplify]: Simplify (+ 1 0) into 1 5.102 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.102 * [taylor]: Taking taylor expansion of N in N 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 1 into 1 5.102 * [backup-simplify]: Simplify (/ 1 1) into 1 5.103 * [backup-simplify]: Simplify (* 1 1) into 1 5.103 * [backup-simplify]: Simplify (log 1) into 0 5.103 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.103 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.103 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.103 * [taylor]: Taking taylor expansion of N in N 5.103 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify 1 into 1 5.103 * [taylor]: Taking taylor expansion of 1 in N 5.103 * [backup-simplify]: Simplify 1 into 1 5.103 * [backup-simplify]: Simplify (+ 0 1) into 1 5.104 * [backup-simplify]: Simplify (sqrt 1) into 1 5.104 * [backup-simplify]: Simplify (+ 1 0) into 1 5.104 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.104 * [backup-simplify]: Simplify (log 1) into 0 5.105 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.105 * [backup-simplify]: Simplify (+ (- (log N)) 0) into (- (log N)) 5.105 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 5.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.107 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.107 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.108 * [backup-simplify]: Simplify 1 into 1 5.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.108 * [backup-simplify]: Simplify (+ 0 0) into 0 5.109 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 5.111 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.111 * [backup-simplify]: Simplify (+ 0 0) into 0 5.112 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.114 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.114 * [backup-simplify]: Simplify (+ -1/4 -1/4) into -1/2 5.114 * [backup-simplify]: Simplify -1/2 into -1/2 5.114 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 5.114 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 N)))) (log (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)))) into (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) 5.114 * [approximate]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in (N) around 0 5.114 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 5.114 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 5.114 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.114 * [taylor]: Taking taylor expansion of N in N 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 1 into 1 5.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.114 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.114 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.114 * [taylor]: Taking taylor expansion of N in N 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 1 into 1 5.121 * [backup-simplify]: Simplify (/ 1 1) into 1 5.121 * [taylor]: Taking taylor expansion of 1 in N 5.121 * [backup-simplify]: Simplify 1 into 1 5.122 * [backup-simplify]: Simplify (+ 1 0) into 1 5.122 * [backup-simplify]: Simplify (sqrt 0) into 0 5.124 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.124 * [backup-simplify]: Simplify (* 0 0) into 0 5.125 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.126 * [backup-simplify]: Simplify (+ 0 1) into 1 5.129 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.132 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.133 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.133 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.133 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.133 * [taylor]: Taking taylor expansion of N in N 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 1 into 1 5.134 * [backup-simplify]: Simplify (/ 1 1) into 1 5.134 * [taylor]: Taking taylor expansion of 1 in N 5.134 * [backup-simplify]: Simplify 1 into 1 5.134 * [backup-simplify]: Simplify (+ 1 0) into 1 5.135 * [backup-simplify]: Simplify (sqrt 0) into 0 5.136 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.136 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.137 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 5.137 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 5.137 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.137 * [taylor]: Taking taylor expansion of N in N 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 1 into 1 5.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.137 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.137 * [taylor]: Taking taylor expansion of N in N 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 1 into 1 5.137 * [backup-simplify]: Simplify (/ 1 1) into 1 5.137 * [taylor]: Taking taylor expansion of 1 in N 5.137 * [backup-simplify]: Simplify 1 into 1 5.138 * [backup-simplify]: Simplify (+ 1 0) into 1 5.138 * [backup-simplify]: Simplify (sqrt 0) into 0 5.140 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.140 * [backup-simplify]: Simplify (* 0 0) into 0 5.141 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.142 * [backup-simplify]: Simplify (+ 0 1) into 1 5.145 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.148 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.149 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.149 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.149 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) 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 5.149 * [taylor]: Taking taylor expansion of 1 in N 5.149 * [backup-simplify]: Simplify 1 into 1 5.150 * [backup-simplify]: Simplify (+ 1 0) into 1 5.150 * [backup-simplify]: Simplify (sqrt 0) into 0 5.152 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.152 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.153 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 5.155 * [backup-simplify]: Simplify (+ (+ (log (- +nan.0)) (log N)) (log +nan.0)) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 5.156 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 5.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.157 * [backup-simplify]: Simplify (+ 0 0) into 0 5.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.165 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.175 * [backup-simplify]: Simplify (+ 0 1) into 1 5.178 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.185 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.185 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.187 * [backup-simplify]: Simplify (+ 0 0) into 0 5.191 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.195 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.209 * [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 5.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.210 * [backup-simplify]: Simplify (+ 0 0) into 0 5.212 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.220 * [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 5.220 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.220 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.222 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log (/ 1 N)) (log +nan.0))))) into (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.222 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 (- N))))) (log (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))))) into (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) 5.222 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in (N) around 0 5.222 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 5.222 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.222 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.222 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.222 * [taylor]: Taking taylor expansion of 1 in N 5.222 * [backup-simplify]: Simplify 1 into 1 5.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.222 * [taylor]: Taking taylor expansion of N in N 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.223 * [backup-simplify]: Simplify (/ 1 1) into 1 5.223 * [backup-simplify]: Simplify (- 1) into -1 5.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.223 * [backup-simplify]: Simplify (sqrt 0) into 0 5.224 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.224 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.224 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 5.224 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.224 * [taylor]: Taking taylor expansion of -1 in N 5.225 * [backup-simplify]: Simplify -1 into -1 5.225 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.225 * [taylor]: Taking taylor expansion of N in N 5.225 * [backup-simplify]: Simplify 0 into 0 5.225 * [backup-simplify]: Simplify 1 into 1 5.225 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.225 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.225 * [taylor]: Taking taylor expansion of 1 in N 5.225 * [backup-simplify]: Simplify 1 into 1 5.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.225 * [taylor]: Taking taylor expansion of N in N 5.225 * [backup-simplify]: Simplify 0 into 0 5.225 * [backup-simplify]: Simplify 1 into 1 5.225 * [backup-simplify]: Simplify (/ 1 1) into 1 5.225 * [backup-simplify]: Simplify (- 1) into -1 5.225 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.226 * [backup-simplify]: Simplify (sqrt 0) into 0 5.226 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.227 * [backup-simplify]: Simplify (* 0 0) into 0 5.227 * [backup-simplify]: Simplify (* -1 0) into 0 5.227 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.228 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.229 * [backup-simplify]: Simplify (- 0) into 0 5.229 * [backup-simplify]: Simplify (+ 1 0) into 1 5.231 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.232 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.234 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.235 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.235 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 5.235 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.235 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.235 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.235 * [taylor]: Taking taylor expansion of 1 in N 5.235 * [backup-simplify]: Simplify 1 into 1 5.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.235 * [taylor]: Taking taylor expansion of N in N 5.235 * [backup-simplify]: Simplify 0 into 0 5.235 * [backup-simplify]: Simplify 1 into 1 5.235 * [backup-simplify]: Simplify (/ 1 1) into 1 5.235 * [backup-simplify]: Simplify (- 1) into -1 5.236 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.236 * [backup-simplify]: Simplify (sqrt 0) into 0 5.237 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.237 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.237 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 5.237 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.237 * [taylor]: Taking taylor expansion of -1 in N 5.237 * [backup-simplify]: Simplify -1 into -1 5.237 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.237 * [taylor]: Taking taylor expansion of N in N 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [backup-simplify]: Simplify 1 into 1 5.237 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.237 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.237 * [taylor]: Taking taylor expansion of 1 in N 5.237 * [backup-simplify]: Simplify 1 into 1 5.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.237 * [taylor]: Taking taylor expansion of N in N 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [backup-simplify]: Simplify 1 into 1 5.238 * [backup-simplify]: Simplify (/ 1 1) into 1 5.238 * [backup-simplify]: Simplify (- 1) into -1 5.243 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.244 * [backup-simplify]: Simplify (sqrt 0) into 0 5.246 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.246 * [backup-simplify]: Simplify (* 0 0) into 0 5.246 * [backup-simplify]: Simplify (* -1 0) into 0 5.247 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.248 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.249 * [backup-simplify]: Simplify (- 0) into 0 5.250 * [backup-simplify]: Simplify (+ 1 0) into 1 5.253 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.256 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.258 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.259 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.260 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 5.262 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 5.263 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 5.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.264 * [backup-simplify]: Simplify (- 0) into 0 5.264 * [backup-simplify]: Simplify (+ 1 0) into 1 5.267 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.274 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.275 * [backup-simplify]: Simplify (- 0) into 0 5.276 * [backup-simplify]: Simplify (+ 0 0) into 0 5.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.285 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.288 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 5.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.297 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.297 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.298 * [backup-simplify]: Simplify (- 0) into 0 5.299 * [backup-simplify]: Simplify (+ 0 0) into 0 5.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.311 * [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 5.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.312 * [backup-simplify]: Simplify (- 0) into 0 5.312 * [backup-simplify]: Simplify (+ 0 0) into 0 5.315 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.317 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.319 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 5.329 * [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 5.330 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.330 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.331 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.332 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.332 * [backup-simplify]: Simplify (/ (sqrt (+ 1 N)) N) into (* (sqrt (+ N 1)) (/ 1 N)) 5.332 * [approximate]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in (N) around 0 5.332 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.332 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.332 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.332 * [taylor]: Taking taylor expansion of N in N 5.332 * [backup-simplify]: Simplify 0 into 0 5.332 * [backup-simplify]: Simplify 1 into 1 5.332 * [taylor]: Taking taylor expansion of 1 in N 5.332 * [backup-simplify]: Simplify 1 into 1 5.332 * [backup-simplify]: Simplify (+ 0 1) into 1 5.333 * [backup-simplify]: Simplify (sqrt 1) into 1 5.333 * [backup-simplify]: Simplify (+ 1 0) into 1 5.334 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.334 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.334 * [taylor]: Taking taylor expansion of N in N 5.334 * [backup-simplify]: Simplify 0 into 0 5.334 * [backup-simplify]: Simplify 1 into 1 5.334 * [backup-simplify]: Simplify (/ 1 1) into 1 5.334 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.334 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.335 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.335 * [taylor]: Taking taylor expansion of N in N 5.335 * [backup-simplify]: Simplify 0 into 0 5.335 * [backup-simplify]: Simplify 1 into 1 5.335 * [taylor]: Taking taylor expansion of 1 in N 5.335 * [backup-simplify]: Simplify 1 into 1 5.335 * [backup-simplify]: Simplify (+ 0 1) into 1 5.335 * [backup-simplify]: Simplify (sqrt 1) into 1 5.336 * [backup-simplify]: Simplify (+ 1 0) into 1 5.337 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.337 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.337 * [taylor]: Taking taylor expansion of N in N 5.337 * [backup-simplify]: Simplify 0 into 0 5.337 * [backup-simplify]: Simplify 1 into 1 5.337 * [backup-simplify]: Simplify (/ 1 1) into 1 5.337 * [backup-simplify]: Simplify (* 1 1) into 1 5.338 * [backup-simplify]: Simplify 1 into 1 5.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 5.339 * [backup-simplify]: Simplify 1/2 into 1/2 5.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.340 * [backup-simplify]: Simplify (+ 0 0) into 0 5.341 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 5.343 * [backup-simplify]: Simplify -1/8 into -1/8 5.343 * [backup-simplify]: Simplify (+ (* -1/8 N) (+ 1/2 (* 1 (/ 1 N)))) into (- (+ (/ 1 N) 1/2) (* 1/8 N)) 5.343 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1))) 5.343 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in (N) around 0 5.343 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.343 * [taylor]: Taking taylor expansion of N in N 5.343 * [backup-simplify]: Simplify 0 into 0 5.343 * [backup-simplify]: Simplify 1 into 1 5.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.343 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.343 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.343 * [taylor]: Taking taylor expansion of N in N 5.343 * [backup-simplify]: Simplify 0 into 0 5.343 * [backup-simplify]: Simplify 1 into 1 5.344 * [backup-simplify]: Simplify (/ 1 1) into 1 5.344 * [taylor]: Taking taylor expansion of 1 in N 5.344 * [backup-simplify]: Simplify 1 into 1 5.345 * [backup-simplify]: Simplify (+ 1 0) into 1 5.345 * [backup-simplify]: Simplify (sqrt 0) into 0 5.346 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.347 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.347 * [taylor]: Taking taylor expansion of N in N 5.347 * [backup-simplify]: Simplify 0 into 0 5.347 * [backup-simplify]: Simplify 1 into 1 5.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.347 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.347 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.347 * [taylor]: Taking taylor expansion of N in N 5.347 * [backup-simplify]: Simplify 0 into 0 5.347 * [backup-simplify]: Simplify 1 into 1 5.347 * [backup-simplify]: Simplify (/ 1 1) into 1 5.347 * [taylor]: Taking taylor expansion of 1 in N 5.347 * [backup-simplify]: Simplify 1 into 1 5.348 * [backup-simplify]: Simplify (+ 1 0) into 1 5.348 * [backup-simplify]: Simplify (sqrt 0) into 0 5.349 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.350 * [backup-simplify]: Simplify (* 0 0) into 0 5.350 * [backup-simplify]: Simplify 0 into 0 5.350 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.350 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.352 * [backup-simplify]: Simplify (+ 0 1) into 1 5.355 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.358 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.358 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.359 * [backup-simplify]: Simplify (+ 0 0) into 0 5.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.373 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.374 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.375 * [backup-simplify]: Simplify (+ 0 0) into 0 5.380 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.384 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.385 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.386 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 5.386 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1 (/ 1 N))))) 5.386 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in (N) around 0 5.386 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.387 * [taylor]: Taking taylor expansion of -1 in N 5.387 * [backup-simplify]: Simplify -1 into -1 5.387 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.387 * [taylor]: Taking taylor expansion of N in N 5.387 * [backup-simplify]: Simplify 0 into 0 5.387 * [backup-simplify]: Simplify 1 into 1 5.387 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.387 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.387 * [taylor]: Taking taylor expansion of 1 in N 5.387 * [backup-simplify]: Simplify 1 into 1 5.387 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.387 * [taylor]: Taking taylor expansion of N in N 5.387 * [backup-simplify]: Simplify 0 into 0 5.387 * [backup-simplify]: Simplify 1 into 1 5.387 * [backup-simplify]: Simplify (/ 1 1) into 1 5.388 * [backup-simplify]: Simplify (- 1) into -1 5.388 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.389 * [backup-simplify]: Simplify (sqrt 0) into 0 5.390 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.390 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.390 * [taylor]: Taking taylor expansion of -1 in N 5.390 * [backup-simplify]: Simplify -1 into -1 5.390 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.390 * [taylor]: Taking taylor expansion of N in N 5.390 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify 1 into 1 5.390 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.390 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.390 * [taylor]: Taking taylor expansion of 1 in N 5.390 * [backup-simplify]: Simplify 1 into 1 5.390 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.390 * [taylor]: Taking taylor expansion of N in N 5.390 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify 1 into 1 5.391 * [backup-simplify]: Simplify (/ 1 1) into 1 5.391 * [backup-simplify]: Simplify (- 1) into -1 5.391 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.392 * [backup-simplify]: Simplify (sqrt 0) into 0 5.393 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.394 * [backup-simplify]: Simplify (* 0 0) into 0 5.394 * [backup-simplify]: Simplify (* -1 0) into 0 5.394 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.396 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.396 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.397 * [backup-simplify]: Simplify (- 0) into 0 5.398 * [backup-simplify]: Simplify (+ 1 0) into 1 5.401 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.404 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.406 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.407 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.408 * [backup-simplify]: Simplify (- 0) into 0 5.409 * [backup-simplify]: Simplify (+ 0 0) into 0 5.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.418 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.421 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 5.421 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.423 * [backup-simplify]: Simplify (- 0) into 0 5.423 * [backup-simplify]: Simplify (+ 0 0) into 0 5.428 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.433 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.436 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 5.437 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.438 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 5.439 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 5.439 * [backup-simplify]: Simplify (sqrt (+ 1 N)) into (sqrt (+ N 1)) 5.439 * [approximate]: Taking taylor expansion of (sqrt (+ N 1)) in (N) around 0 5.439 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.439 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.439 * [taylor]: Taking taylor expansion of N in N 5.439 * [backup-simplify]: Simplify 0 into 0 5.439 * [backup-simplify]: Simplify 1 into 1 5.439 * [taylor]: Taking taylor expansion of 1 in N 5.439 * [backup-simplify]: Simplify 1 into 1 5.440 * [backup-simplify]: Simplify (+ 0 1) into 1 5.440 * [backup-simplify]: Simplify (sqrt 1) into 1 5.441 * [backup-simplify]: Simplify (+ 1 0) into 1 5.442 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.442 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.442 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.442 * [taylor]: Taking taylor expansion of N in N 5.442 * [backup-simplify]: Simplify 0 into 0 5.442 * [backup-simplify]: Simplify 1 into 1 5.442 * [taylor]: Taking taylor expansion of 1 in N 5.442 * [backup-simplify]: Simplify 1 into 1 5.443 * [backup-simplify]: Simplify (+ 0 1) into 1 5.443 * [backup-simplify]: Simplify (sqrt 1) into 1 5.443 * [backup-simplify]: Simplify (+ 1 0) into 1 5.444 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.444 * [backup-simplify]: Simplify 1 into 1 5.444 * [backup-simplify]: Simplify 1/2 into 1/2 5.445 * [backup-simplify]: Simplify (+ 0 0) into 0 5.446 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.447 * [backup-simplify]: Simplify -1/8 into -1/8 5.447 * [backup-simplify]: Simplify (+ (* -1/8 (pow N 2)) (+ (* 1/2 N) 1)) into (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) 5.447 * [backup-simplify]: Simplify (sqrt (+ 1 (/ 1 N))) into (sqrt (+ (/ 1 N) 1)) 5.447 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in (N) around 0 5.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.447 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.447 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.447 * [taylor]: Taking taylor expansion of N in N 5.447 * [backup-simplify]: Simplify 0 into 0 5.447 * [backup-simplify]: Simplify 1 into 1 5.448 * [backup-simplify]: Simplify (/ 1 1) into 1 5.448 * [taylor]: Taking taylor expansion of 1 in N 5.448 * [backup-simplify]: Simplify 1 into 1 5.448 * [backup-simplify]: Simplify (+ 1 0) into 1 5.449 * [backup-simplify]: Simplify (sqrt 0) into 0 5.450 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.450 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.450 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.450 * [taylor]: Taking taylor expansion of N in N 5.450 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify 1 into 1 5.451 * [backup-simplify]: Simplify (/ 1 1) into 1 5.451 * [taylor]: Taking taylor expansion of 1 in N 5.451 * [backup-simplify]: Simplify 1 into 1 5.451 * [backup-simplify]: Simplify (+ 1 0) into 1 5.452 * [backup-simplify]: Simplify (sqrt 0) into 0 5.453 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.453 * [backup-simplify]: Simplify 0 into 0 5.453 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.454 * [backup-simplify]: Simplify (+ 0 1) into 1 5.457 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.457 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.459 * [backup-simplify]: Simplify (+ 0 0) into 0 5.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.463 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.463 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.463 * [backup-simplify]: Simplify (sqrt (+ 1 (/ 1 (- N)))) into (sqrt (- 1 (/ 1 N))) 5.463 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in (N) around 0 5.463 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.463 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.463 * [taylor]: Taking taylor expansion of 1 in N 5.463 * [backup-simplify]: Simplify 1 into 1 5.463 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.463 * [taylor]: Taking taylor expansion of N in N 5.464 * [backup-simplify]: Simplify 0 into 0 5.464 * [backup-simplify]: Simplify 1 into 1 5.464 * [backup-simplify]: Simplify (/ 1 1) into 1 5.464 * [backup-simplify]: Simplify (- 1) into -1 5.465 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.465 * [backup-simplify]: Simplify (sqrt 0) into 0 5.466 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.466 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.466 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.466 * [taylor]: Taking taylor expansion of 1 in N 5.467 * [backup-simplify]: Simplify 1 into 1 5.467 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.467 * [taylor]: Taking taylor expansion of N in N 5.467 * [backup-simplify]: Simplify 0 into 0 5.467 * [backup-simplify]: Simplify 1 into 1 5.467 * [backup-simplify]: Simplify (/ 1 1) into 1 5.467 * [backup-simplify]: Simplify (- 1) into -1 5.468 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.468 * [backup-simplify]: Simplify (sqrt 0) into 0 5.469 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.470 * [backup-simplify]: Simplify 0 into 0 5.470 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.471 * [backup-simplify]: Simplify (- 0) into 0 5.471 * [backup-simplify]: Simplify (+ 1 0) into 1 5.474 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.474 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.476 * [backup-simplify]: Simplify (- 0) into 0 5.476 * [backup-simplify]: Simplify (+ 0 0) into 0 5.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.480 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.480 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.481 * * * [progress]: simplifying candidates 5.481 * * * * [progress]: [ 1 / 147 ] simplifiying candidate # 5.481 * * * * [progress]: [ 2 / 147 ] simplifiying candidate # 5.481 * * * * [progress]: [ 3 / 147 ] simplifiying candidate # 5.481 * * * * [progress]: [ 4 / 147 ] simplifiying candidate # 5.481 * * * * [progress]: [ 5 / 147 ] simplifiying candidate # 5.481 * * * * [progress]: [ 6 / 147 ] simplifiying candidate # 5.481 * * * * [progress]: [ 7 / 147 ] simplifiying candidate # 5.481 * * * * [progress]: [ 8 / 147 ] simplifiying candidate # 5.481 * * * * [progress]: [ 9 / 147 ] simplifiying candidate # 5.481 * * * * [progress]: [ 10 / 147 ] simplifiying candidate # 5.481 * * * * [progress]: [ 11 / 147 ] simplifiying candidate # 5.481 * * * * [progress]: [ 12 / 147 ] simplifiying candidate # 5.481 * * * * [progress]: [ 13 / 147 ] simplifiying candidate # 5.482 * * * * [progress]: [ 14 / 147 ] simplifiying candidate # 5.482 * * * * [progress]: [ 15 / 147 ] simplifiying candidate # 5.482 * * * * [progress]: [ 16 / 147 ] simplifiying candidate # 5.482 * * * * [progress]: [ 17 / 147 ] simplifiying candidate # 5.482 * * * * [progress]: [ 18 / 147 ] simplifiying candidate # 5.482 * * * * [progress]: [ 19 / 147 ] simplifiying candidate # 5.482 * * * * [progress]: [ 20 / 147 ] simplifiying candidate # 5.482 * * * * [progress]: [ 21 / 147 ] simplifiying candidate #real (real->posit16 (log (sqrt (+ 1 N))))) (log (/ (sqrt (+ 1 N)) N))))> 5.482 * * * * [progress]: [ 22 / 147 ] simplifiying candidate # 5.482 * * * * [progress]: [ 23 / 147 ] simplifiying candidate # 5.482 * * * * [progress]: [ 24 / 147 ] simplifiying candidate # 5.482 * * * * [progress]: [ 25 / 147 ] simplifiying candidate # 5.482 * * * * [progress]: [ 26 / 147 ] simplifiying candidate # 5.482 * * * * [progress]: [ 27 / 147 ] simplifiying candidate # 5.482 * * * * [progress]: [ 28 / 147 ] simplifiying candidate # 5.482 * * * * [progress]: [ 29 / 147 ] simplifiying candidate # 5.482 * * * * [progress]: [ 30 / 147 ] simplifiying candidate # 5.483 * * * * [progress]: [ 31 / 147 ] simplifiying candidate # 5.483 * * * * [progress]: [ 32 / 147 ] simplifiying candidate # 5.483 * * * * [progress]: [ 33 / 147 ] simplifiying candidate # 5.483 * * * * [progress]: [ 34 / 147 ] simplifiying candidate # 5.483 * * * * [progress]: [ 35 / 147 ] simplifiying candidate # 5.483 * * * * [progress]: [ 36 / 147 ] simplifiying candidate # 5.483 * * * * [progress]: [ 37 / 147 ] simplifiying candidate # 5.483 * * * * [progress]: [ 38 / 147 ] simplifiying candidate # 5.483 * * * * [progress]: [ 39 / 147 ] simplifiying candidate # 5.483 * * * * [progress]: [ 40 / 147 ] simplifiying candidate # 5.483 * * * * [progress]: [ 41 / 147 ] simplifiying candidate # 5.483 * * * * [progress]: [ 42 / 147 ] simplifiying candidate # 5.483 * * * * [progress]: [ 43 / 147 ] simplifiying candidate # 5.483 * * * * [progress]: [ 44 / 147 ] simplifiying candidate # 5.484 * * * * [progress]: [ 45 / 147 ] simplifiying candidate # 5.484 * * * * [progress]: [ 46 / 147 ] simplifiying candidate # 5.484 * * * * [progress]: [ 47 / 147 ] simplifiying candidate # 5.484 * * * * [progress]: [ 48 / 147 ] simplifiying candidate # 5.484 * * * * [progress]: [ 49 / 147 ] simplifiying candidate # 5.484 * * * * [progress]: [ 50 / 147 ] simplifiying candidate # 5.484 * * * * [progress]: [ 51 / 147 ] simplifiying candidate # 5.484 * * * * [progress]: [ 52 / 147 ] simplifiying candidate # 5.484 * * * * [progress]: [ 53 / 147 ] simplifiying candidate # 5.484 * * * * [progress]: [ 54 / 147 ] simplifiying candidate # 5.484 * * * * [progress]: [ 55 / 147 ] simplifiying candidate # 5.484 * * * * [progress]: [ 56 / 147 ] simplifiying candidate # 5.484 * * * * [progress]: [ 57 / 147 ] simplifiying candidate # 5.484 * * * * [progress]: [ 58 / 147 ] simplifiying candidate # 5.484 * * * * [progress]: [ 59 / 147 ] simplifiying candidate # 5.485 * * * * [progress]: [ 60 / 147 ] simplifiying candidate # 5.485 * * * * [progress]: [ 61 / 147 ] simplifiying candidate # 5.485 * * * * [progress]: [ 62 / 147 ] simplifiying candidate # 5.485 * * * * [progress]: [ 63 / 147 ] simplifiying candidate # 5.485 * * * * [progress]: [ 64 / 147 ] simplifiying candidate # 5.485 * * * * [progress]: [ 65 / 147 ] simplifiying candidate # 5.485 * * * * [progress]: [ 66 / 147 ] simplifiying candidate # 5.485 * * * * [progress]: [ 67 / 147 ] simplifiying candidate # 5.485 * * * * [progress]: [ 68 / 147 ] simplifiying candidate # 5.485 * * * * [progress]: [ 69 / 147 ] simplifiying candidate # 5.485 * * * * [progress]: [ 70 / 147 ] simplifiying candidate # 5.485 * * * * [progress]: [ 71 / 147 ] simplifiying candidate #real (real->posit16 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))))> 5.485 * * * * [progress]: [ 72 / 147 ] simplifiying candidate # 5.485 * * * * [progress]: [ 73 / 147 ] simplifiying candidate # 5.485 * * * * [progress]: [ 74 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 75 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 76 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 77 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 78 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 79 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 80 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 81 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 82 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 83 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 84 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 85 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 86 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 87 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 88 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 89 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 90 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 91 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 92 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 93 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 94 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 95 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 96 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 97 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 98 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 99 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 100 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 101 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 102 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 103 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 104 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 105 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 106 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 107 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 108 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 109 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 110 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 111 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 112 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 113 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 114 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 115 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 116 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 117 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 118 / 147 ] simplifiying candidate #real (real->posit16 (/ (sqrt (+ 1 N)) N))))))> 5.488 * * * * [progress]: [ 119 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 120 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 121 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 122 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 123 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 124 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 125 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 126 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 127 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 128 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 129 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 130 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 131 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 132 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 133 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 134 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 135 / 147 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 N)))) N))))> 5.489 * * * * [progress]: [ 136 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 137 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 138 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 139 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 140 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 141 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 142 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 143 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 144 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 145 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 146 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 147 / 147 ] simplifiying candidate # 5.491 * [simplify]: Simplifying: (log (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log 1) (log (sqrt (+ 1 N))) (log (sqrt (+ (pow 1 3) (pow N 3)))) (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (sqrt (- (* 1 1) (* N N)))) (log (sqrt (- 1 N))) (log (+ 1 N)) (log (sqrt (+ 1 N))) (log (+ 1 N)) (log (log (sqrt (+ 1 N)))) (exp (log (sqrt (+ 1 N)))) (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt 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(* (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (- (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)))) (- (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))))) (+ (log (sqrt (+ 1 N))) (log (sqrt (/ (sqrt (+ 1 N)) N)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt 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(log (sqrt (+ 1 N))) (log 1)) (+ (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (+ (log (cbrt (sqrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (cbrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (sqrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (sqrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (- (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (/ (sqrt (+ 1 N)) N))) (- (log (sqrt (- 1 N))) (log (/ (sqrt (+ 1 N)) N))) (real->posit16 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (- (log (sqrt (+ 1 N))) (log N)) (log (/ (sqrt (+ 1 N)) N)) (exp (/ (sqrt (+ 1 N)) N)) (/ (* (* (sqrt (+ 1 N)) (sqrt (+ 1 N))) (sqrt (+ 1 N))) (* (* N N) N)) (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))) (cbrt (/ (sqrt (+ 1 N)) N)) (* (* (/ (sqrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) N)) (/ (sqrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) N)) (- (sqrt (+ 1 N))) (- N) (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ 1 N))) (cbrt N)) (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)) (/ (cbrt (sqrt (+ 1 N))) (sqrt N)) (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) 1) (/ (cbrt (sqrt (+ 1 N))) N) (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ 1 N))) (cbrt N)) (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt N)) (/ (sqrt (cbrt (+ 1 N))) (sqrt N)) (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1) (/ (sqrt (cbrt (+ 1 N))) N) (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) 1) (/ (sqrt (sqrt (+ 1 N))) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ 1 N)) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ 1 N)) N) (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) 1) (/ (sqrt (sqrt (+ 1 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ 1 1) (/ (sqrt (+ 1 N)) N) (/ 1 N) (/ N (sqrt (+ 1 N))) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ N (cbrt (sqrt (+ 1 N)))) (/ N (sqrt (cbrt (+ 1 N)))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (* N (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (* N (sqrt (- 1 N))) (real->posit16 (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N))) (exp (sqrt (+ 1 N))) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (cbrt (sqrt (+ 1 N))) (* (* (sqrt (+ 1 N)) (sqrt (+ 1 N))) (sqrt (+ 1 N))) (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt (cbrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt 1) (sqrt (+ 1 N)) (sqrt 1) (sqrt (+ 1 N)) (sqrt (+ (pow 1 3) (pow N 3))) (sqrt (+ (* 1 1) (- (* N N) (* 1 N)))) (sqrt (- (* 1 1) (* N N))) (sqrt (- 1 N)) (/ 1 2) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (real->posit16 (sqrt (+ 1 N))) (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (/ 1 N) 1/2) (* 1/8 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.493 * * [simplify]: iteration 0: 215 enodes 5.573 * * [simplify]: iteration 1: 454 enodes 5.748 * * [simplify]: iteration 2: 1162 enodes 6.693 * * [simplify]: iteration 3: 4618 enodes 7.767 * * [simplify]: iteration complete: 5004 enodes 7.767 * * [simplify]: Extracting #0: cost 108 inf + 0 7.768 * * [simplify]: Extracting #1: cost 709 inf + 3 7.774 * * [simplify]: Extracting #2: cost 1583 inf + 628 7.794 * * [simplify]: Extracting #3: cost 1419 inf + 29318 7.848 * * [simplify]: Extracting #4: cost 655 inf + 213196 7.945 * * [simplify]: Extracting #5: cost 91 inf + 405828 8.068 * * [simplify]: Extracting #6: cost 0 inf + 436532 8.184 * [simplify]: Simplified to: (+ (log (cbrt (sqrt (+ N 1)))) (log (cbrt (sqrt (+ N 1))))) (log (cbrt (sqrt (+ N 1)))) (log (fabs (cbrt (+ N 1)))) (log (sqrt (cbrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) 0 (log (sqrt (+ N 1))) 0 (log (sqrt (+ N 1))) (log (sqrt (sqrt (+ N 1)))) (log (sqrt (sqrt (+ N 1)))) 0 (log (sqrt (+ N 1))) (log (sqrt (+ 1 (* N (* N N))))) (log (sqrt (- (* N N) (- N 1)))) (log (sqrt (- 1 (* N N)))) (log (sqrt (- 1 N))) (log (+ N 1)) (log (sqrt (+ N 1))) (log (+ N 1)) (log (log (sqrt (+ N 1)))) (sqrt (+ N 1)) (* (cbrt (log (sqrt (+ N 1)))) (cbrt (log (sqrt (+ N 1))))) (cbrt (log (sqrt (+ N 1)))) (* (log (sqrt (+ N 1))) (* (log (sqrt (+ N 1))) (log (sqrt (+ N 1))))) (sqrt (log (sqrt (+ N 1)))) (sqrt (log (sqrt (+ N 1)))) (real->posit16 (log (sqrt (+ N 1)))) (/ (+ N 1) N) (log (- (log (+ N 1)) (log N))) (/ (+ N 1) 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))) (+ (* (log (sqrt (+ N 1))) (* (log (sqrt (+ N 1))) (log (sqrt (+ N 1))))) (* (log (/ (sqrt (+ N 1)) N)) (* (log (/ (sqrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) N))))) (- (+ (* (log (/ (sqrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) N))) (* (log (sqrt (+ N 1))) (log (sqrt (+ N 1))))) (* (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N)))) (* (- (log (+ N 1)) (log N)) (+ 0 (log N))) (+ 0 (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (+ (+ (log (cbrt (/ (sqrt (+ N 1)) N))) (log (sqrt (+ N 1)))) (log (cbrt (/ (sqrt (+ N 1)) N)))) (+ (log (sqrt (+ N 1))) (log (sqrt (/ (sqrt (+ N 1)) N)))) (+ (log (sqrt (+ N 1))) (+ (log (/ (cbrt (sqrt (+ N 1))) (cbrt N))) (log (/ (cbrt (sqrt (+ N 1))) (cbrt N))))) (+ (log (sqrt (+ N 1))) (log (/ (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (sqrt N)))) (+ (+ (log (cbrt (sqrt (+ N 1)))) (log (sqrt (+ N 1)))) (log (cbrt (sqrt (+ N 1))))) (+ (log (/ (fabs (cbrt 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(* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (/ (cbrt (sqrt (+ N 1))) N) (/ (fabs (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ N 1))) (cbrt N)) (/ (fabs (cbrt (+ N 1))) (sqrt N)) (/ (sqrt (cbrt (+ N 1))) (sqrt N)) (fabs (cbrt (+ N 1))) (/ (sqrt (cbrt (+ N 1))) N) (/ (/ (sqrt (sqrt (+ N 1))) (cbrt N)) (cbrt N)) (/ (sqrt (sqrt (+ N 1))) (cbrt N)) (/ (sqrt (sqrt (+ N 1))) (sqrt N)) (/ (sqrt (sqrt (+ N 1))) (sqrt N)) (sqrt (sqrt (+ N 1))) (/ (sqrt (sqrt (+ N 1))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) 1 (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) 1 (/ (sqrt (+ N 1)) N) (/ (/ (sqrt (sqrt (+ N 1))) (cbrt N)) (cbrt N)) (/ (sqrt (sqrt (+ N 1))) (cbrt N)) (/ (sqrt (sqrt (+ N 1))) (sqrt N)) (/ (sqrt (sqrt (+ N 1))) (sqrt N)) (sqrt (sqrt (+ N 1))) (/ (sqrt (sqrt (+ N 1))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) 1 (/ (sqrt (+ N 1)) N) (/ 1 N) (/ N (sqrt (+ N 1))) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (sqrt N)) (sqrt (+ N 1)) (/ N (cbrt (sqrt (+ N 1)))) (/ N (sqrt (cbrt (+ N 1)))) (/ N (sqrt (sqrt (+ N 1)))) (/ N (sqrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (sqrt (sqrt (+ N 1)))) (/ N (sqrt (+ N 1))) (* (sqrt (- (* N N) (- N 1))) N) (* (sqrt (- 1 N)) N) (real->posit16 (/ (sqrt (+ N 1)) N)) (log (sqrt (+ N 1))) (exp (sqrt (+ N 1))) (* (cbrt (sqrt (+ N 1))) (cbrt (sqrt (+ N 1)))) (cbrt (sqrt (+ N 1))) (* (+ N 1) (sqrt (+ N 1))) (fabs (cbrt (+ N 1))) (sqrt (cbrt (+ N 1))) (sqrt (sqrt (+ N 1))) (sqrt (sqrt (+ N 1))) 1 (sqrt (+ N 1)) 1 (sqrt (+ N 1)) (sqrt (+ 1 (* N (* N N)))) (sqrt (- (* N N) (- N 1))) (sqrt (- 1 (* N N))) (sqrt (- 1 N)) 1/2 (sqrt (sqrt (+ N 1))) (sqrt (sqrt (+ N 1))) (real->posit16 (sqrt (+ N 1))) (+ (* N (+ (* (* N N) 1/6) 1/2)) (* -1/4 (* N N))) (+ (/ +nan.0 N) (- (log +nan.0) (/ (/ +nan.0 N) N))) (+ (/ +nan.0 N) (- (log +nan.0) (/ (/ +nan.0 N) N))) (- (- N (log N)) (* 1/2 (* N N))) (- (- (+ (log (- +nan.0)) (log +nan.0)) (log N)) (- (/ (/ +nan.0 N) N) (/ +nan.0 N))) (+ (log (- +nan.0)) (+ (log (/ -1 N)) (+ (/ +nan.0 N) (- (log +nan.0) (/ (/ +nan.0 N) N))))) (- (+ (/ 1 N) 1/2) (* 1/8 N)) (- (+ (- (/ (/ +nan.0 N) N)) (/ (/ +nan.0 N) (* N N))) (/ +nan.0 N)) (- (+ (- (/ (/ +nan.0 N) N)) (/ (/ +nan.0 N) (* N N))) (/ +nan.0 N)) (+ (* (* N N) -1/8) (+ (* 1/2 N) 1)) (- (- (/ +nan.0 N) (/ (/ +nan.0 N) N)) +nan.0) (- (- (/ +nan.0 N) (/ (/ +nan.0 N) N)) +nan.0) 8.202 * * * [progress]: adding candidates to table 8.790 * * [progress]: iteration 4 / 4 8.790 * * * [progress]: picking best candidate 8.794 * * * * [pick]: Picked # 8.794 * * * [progress]: localizing error 8.831 * * * [progress]: generating rewritten candidates 8.831 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 8.838 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 8.845 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 8.852 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 8.856 * * * [progress]: generating series expansions 8.856 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 8.856 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 8.856 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 8.856 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 8.856 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.856 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.856 * [taylor]: Taking taylor expansion of N in N 8.856 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify 1 into 1 8.856 * [taylor]: Taking taylor expansion of 1 in N 8.856 * [backup-simplify]: Simplify 1 into 1 8.856 * [taylor]: Taking taylor expansion of N in N 8.856 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify 1 into 1 8.857 * [backup-simplify]: Simplify (+ 0 1) into 1 8.857 * [backup-simplify]: Simplify (/ 1 1) into 1 8.858 * [backup-simplify]: Simplify (log 1) into 0 8.858 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 8.858 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.858 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.858 * [taylor]: Taking taylor expansion of N in N 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 1 into 1 8.858 * [taylor]: Taking taylor expansion of 1 in N 8.858 * [backup-simplify]: Simplify 1 into 1 8.858 * [taylor]: Taking taylor expansion of N in N 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 1 into 1 8.859 * [backup-simplify]: Simplify (+ 0 1) into 1 8.859 * [backup-simplify]: Simplify (/ 1 1) into 1 8.859 * [backup-simplify]: Simplify (log 1) into 0 8.860 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.860 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 8.860 * [backup-simplify]: Simplify (+ 1 0) into 1 8.860 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.861 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.861 * [backup-simplify]: Simplify 1 into 1 8.861 * [backup-simplify]: Simplify (+ 0 0) into 0 8.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.863 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.863 * [backup-simplify]: Simplify -1/2 into -1/2 8.864 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 8.864 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 8.864 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 8.864 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 8.864 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.864 * [taylor]: Taking taylor expansion of N in N 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify 1 into 1 8.864 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.864 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.864 * [taylor]: Taking taylor expansion of N in N 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify 1 into 1 8.864 * [backup-simplify]: Simplify (/ 1 1) into 1 8.864 * [taylor]: Taking taylor expansion of 1 in N 8.864 * [backup-simplify]: Simplify 1 into 1 8.864 * [backup-simplify]: Simplify (+ 1 0) into 1 8.865 * [backup-simplify]: Simplify (* 0 1) into 0 8.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.866 * [backup-simplify]: Simplify (+ 0 1) into 1 8.866 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.866 * [backup-simplify]: Simplify (log 1) into 0 8.866 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 8.866 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.866 * [taylor]: Taking taylor expansion of N in N 8.866 * [backup-simplify]: Simplify 0 into 0 8.866 * [backup-simplify]: Simplify 1 into 1 8.866 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.866 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.866 * [taylor]: Taking taylor expansion of N in N 8.866 * [backup-simplify]: Simplify 0 into 0 8.866 * [backup-simplify]: Simplify 1 into 1 8.867 * [backup-simplify]: Simplify (/ 1 1) into 1 8.867 * [taylor]: Taking taylor expansion of 1 in N 8.867 * [backup-simplify]: Simplify 1 into 1 8.867 * [backup-simplify]: Simplify (+ 1 0) into 1 8.867 * [backup-simplify]: Simplify (* 0 1) into 0 8.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.868 * [backup-simplify]: Simplify (+ 0 1) into 1 8.868 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.869 * [backup-simplify]: Simplify (log 1) into 0 8.869 * [backup-simplify]: Simplify 0 into 0 8.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.870 * [backup-simplify]: Simplify (+ 0 0) into 0 8.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.871 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.871 * [backup-simplify]: Simplify 1 into 1 8.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.872 * [backup-simplify]: Simplify (+ 0 0) into 0 8.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 8.874 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.874 * [backup-simplify]: Simplify -1/2 into -1/2 8.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.875 * [backup-simplify]: Simplify (+ 0 0) into 0 8.875 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 8.884 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 8.884 * [backup-simplify]: Simplify 1/3 into 1/3 8.884 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 8.884 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 8.884 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 8.884 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 8.884 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.884 * [taylor]: Taking taylor expansion of -1 in N 8.884 * [backup-simplify]: Simplify -1 into -1 8.884 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.884 * [taylor]: Taking taylor expansion of N in N 8.884 * [backup-simplify]: Simplify 0 into 0 8.884 * [backup-simplify]: Simplify 1 into 1 8.884 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.884 * [taylor]: Taking taylor expansion of 1 in N 8.884 * [backup-simplify]: Simplify 1 into 1 8.884 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.884 * [taylor]: Taking taylor expansion of N in N 8.884 * [backup-simplify]: Simplify 0 into 0 8.884 * [backup-simplify]: Simplify 1 into 1 8.885 * [backup-simplify]: Simplify (/ 1 1) into 1 8.885 * [backup-simplify]: Simplify (- 1) into -1 8.885 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.886 * [backup-simplify]: Simplify (* 0 -1) into 0 8.886 * [backup-simplify]: Simplify (* -1 0) into 0 8.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.887 * [backup-simplify]: Simplify (- 0) into 0 8.887 * [backup-simplify]: Simplify (+ 1 0) into 1 8.887 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.888 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.888 * [backup-simplify]: Simplify (log 1) into 0 8.888 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 8.888 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.888 * [taylor]: Taking taylor expansion of -1 in N 8.888 * [backup-simplify]: Simplify -1 into -1 8.888 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.888 * [taylor]: Taking taylor expansion of N in N 8.888 * [backup-simplify]: Simplify 0 into 0 8.888 * [backup-simplify]: Simplify 1 into 1 8.888 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.888 * [taylor]: Taking taylor expansion of 1 in N 8.888 * [backup-simplify]: Simplify 1 into 1 8.888 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.888 * [taylor]: Taking taylor expansion of N in N 8.888 * [backup-simplify]: Simplify 0 into 0 8.888 * [backup-simplify]: Simplify 1 into 1 8.888 * [backup-simplify]: Simplify (/ 1 1) into 1 8.889 * [backup-simplify]: Simplify (- 1) into -1 8.889 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.889 * [backup-simplify]: Simplify (* 0 -1) into 0 8.889 * [backup-simplify]: Simplify (* -1 0) into 0 8.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.890 * [backup-simplify]: Simplify (- 0) into 0 8.890 * [backup-simplify]: Simplify (+ 1 0) into 1 8.891 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.891 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.892 * [backup-simplify]: Simplify (log 1) into 0 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.892 * [backup-simplify]: Simplify (- 0) into 0 8.893 * [backup-simplify]: Simplify (+ 0 0) into 0 8.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.894 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.895 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 8.895 * [backup-simplify]: Simplify -1 into -1 8.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.896 * [backup-simplify]: Simplify (- 0) into 0 8.896 * [backup-simplify]: Simplify (+ 0 0) into 0 8.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 8.898 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 8.899 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.899 * [backup-simplify]: Simplify -1/2 into -1/2 8.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.900 * [backup-simplify]: Simplify (- 0) into 0 8.900 * [backup-simplify]: Simplify (+ 0 0) into 0 8.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 8.902 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 8.905 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 8.905 * [backup-simplify]: Simplify -1/3 into -1/3 8.905 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 8.905 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 8.905 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 8.905 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 8.905 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 8.905 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.905 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.905 * [taylor]: Taking taylor expansion of N in N 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify 1 into 1 8.905 * [taylor]: Taking taylor expansion of 1 in N 8.905 * [backup-simplify]: Simplify 1 into 1 8.905 * [taylor]: Taking taylor expansion of N in N 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify 1 into 1 8.905 * [backup-simplify]: Simplify (+ 0 1) into 1 8.906 * [backup-simplify]: Simplify (/ 1 1) into 1 8.906 * [backup-simplify]: Simplify (log 1) into 0 8.906 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 8.906 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.906 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.906 * [taylor]: Taking taylor expansion of N in N 8.906 * [backup-simplify]: Simplify 0 into 0 8.906 * [backup-simplify]: Simplify 1 into 1 8.906 * [taylor]: Taking taylor expansion of 1 in N 8.906 * [backup-simplify]: Simplify 1 into 1 8.906 * [taylor]: Taking taylor expansion of N in N 8.906 * [backup-simplify]: Simplify 0 into 0 8.906 * [backup-simplify]: Simplify 1 into 1 8.906 * [backup-simplify]: Simplify (+ 0 1) into 1 8.907 * [backup-simplify]: Simplify (/ 1 1) into 1 8.907 * [backup-simplify]: Simplify (log 1) into 0 8.907 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.907 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 8.908 * [backup-simplify]: Simplify (+ 1 0) into 1 8.908 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.909 * [backup-simplify]: Simplify 1 into 1 8.909 * [backup-simplify]: Simplify (+ 0 0) into 0 8.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.911 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.911 * [backup-simplify]: Simplify -1/2 into -1/2 8.911 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 8.911 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 8.911 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 8.911 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 8.911 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.911 * [taylor]: Taking taylor expansion of N in N 8.911 * [backup-simplify]: Simplify 0 into 0 8.911 * [backup-simplify]: Simplify 1 into 1 8.911 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.911 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.911 * [taylor]: Taking taylor expansion of N in N 8.912 * [backup-simplify]: Simplify 0 into 0 8.912 * [backup-simplify]: Simplify 1 into 1 8.912 * [backup-simplify]: Simplify (/ 1 1) into 1 8.912 * [taylor]: Taking taylor expansion of 1 in N 8.912 * [backup-simplify]: Simplify 1 into 1 8.912 * [backup-simplify]: Simplify (+ 1 0) into 1 8.912 * [backup-simplify]: Simplify (* 0 1) into 0 8.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.913 * [backup-simplify]: Simplify (+ 0 1) into 1 8.913 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.914 * [backup-simplify]: Simplify (log 1) into 0 8.914 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 8.914 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.914 * [taylor]: Taking taylor expansion of N in N 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [backup-simplify]: Simplify 1 into 1 8.914 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.914 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.914 * [taylor]: Taking taylor expansion of N in N 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [backup-simplify]: Simplify 1 into 1 8.914 * [backup-simplify]: Simplify (/ 1 1) into 1 8.914 * [taylor]: Taking taylor expansion of 1 in N 8.914 * [backup-simplify]: Simplify 1 into 1 8.914 * [backup-simplify]: Simplify (+ 1 0) into 1 8.915 * [backup-simplify]: Simplify (* 0 1) into 0 8.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.916 * [backup-simplify]: Simplify (+ 0 1) into 1 8.916 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.916 * [backup-simplify]: Simplify (log 1) into 0 8.916 * [backup-simplify]: Simplify 0 into 0 8.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.917 * [backup-simplify]: Simplify (+ 0 0) into 0 8.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.918 * [backup-simplify]: Simplify 1 into 1 8.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.919 * [backup-simplify]: Simplify (+ 0 0) into 0 8.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 8.921 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.921 * [backup-simplify]: Simplify -1/2 into -1/2 8.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.922 * [backup-simplify]: Simplify (+ 0 0) into 0 8.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 8.925 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 8.926 * [backup-simplify]: Simplify 1/3 into 1/3 8.926 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 8.926 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 8.926 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 8.926 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 8.926 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.926 * [taylor]: Taking taylor expansion of -1 in N 8.926 * [backup-simplify]: Simplify -1 into -1 8.926 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.926 * [taylor]: Taking taylor expansion of N in N 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 1 into 1 8.926 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.926 * [taylor]: Taking taylor expansion of 1 in N 8.926 * [backup-simplify]: Simplify 1 into 1 8.926 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.926 * [taylor]: Taking taylor expansion of N in N 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 1 into 1 8.926 * [backup-simplify]: Simplify (/ 1 1) into 1 8.927 * [backup-simplify]: Simplify (- 1) into -1 8.927 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.927 * [backup-simplify]: Simplify (* 0 -1) into 0 8.927 * [backup-simplify]: Simplify (* -1 0) into 0 8.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.928 * [backup-simplify]: Simplify (- 0) into 0 8.928 * [backup-simplify]: Simplify (+ 1 0) into 1 8.929 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.929 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.929 * [backup-simplify]: Simplify (log 1) into 0 8.929 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 8.929 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.929 * [taylor]: Taking taylor expansion of -1 in N 8.930 * [backup-simplify]: Simplify -1 into -1 8.930 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.930 * [taylor]: Taking taylor expansion of N in N 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.930 * [taylor]: Taking taylor expansion of 1 in N 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.930 * [taylor]: Taking taylor expansion of N in N 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [backup-simplify]: Simplify (/ 1 1) into 1 8.930 * [backup-simplify]: Simplify (- 1) into -1 8.930 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.931 * [backup-simplify]: Simplify (* 0 -1) into 0 8.931 * [backup-simplify]: Simplify (* -1 0) into 0 8.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.932 * [backup-simplify]: Simplify (- 0) into 0 8.932 * [backup-simplify]: Simplify (+ 1 0) into 1 8.933 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.934 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.934 * [backup-simplify]: Simplify (log 1) into 0 8.934 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.935 * [backup-simplify]: Simplify (- 0) into 0 8.936 * [backup-simplify]: Simplify (+ 0 0) into 0 8.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.938 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.939 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 8.939 * [backup-simplify]: Simplify -1 into -1 8.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.941 * [backup-simplify]: Simplify (- 0) into 0 8.941 * [backup-simplify]: Simplify (+ 0 0) into 0 8.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 8.944 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 8.946 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.946 * [backup-simplify]: Simplify -1/2 into -1/2 8.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.948 * [backup-simplify]: Simplify (- 0) into 0 8.948 * [backup-simplify]: Simplify (+ 0 0) into 0 8.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 8.951 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 8.956 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 8.957 * [backup-simplify]: Simplify -1/3 into -1/3 8.957 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 8.957 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 8.957 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 8.957 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 8.957 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 8.957 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.957 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.957 * [taylor]: Taking taylor expansion of N in N 8.957 * [backup-simplify]: Simplify 0 into 0 8.957 * [backup-simplify]: Simplify 1 into 1 8.958 * [taylor]: Taking taylor expansion of 1 in N 8.958 * [backup-simplify]: Simplify 1 into 1 8.958 * [taylor]: Taking taylor expansion of N in N 8.958 * [backup-simplify]: Simplify 0 into 0 8.958 * [backup-simplify]: Simplify 1 into 1 8.958 * [backup-simplify]: Simplify (+ 0 1) into 1 8.959 * [backup-simplify]: Simplify (/ 1 1) into 1 8.959 * [backup-simplify]: Simplify (log 1) into 0 8.959 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 8.959 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.959 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.959 * [taylor]: Taking taylor expansion of N in N 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify 1 into 1 8.959 * [taylor]: Taking taylor expansion of 1 in N 8.959 * [backup-simplify]: Simplify 1 into 1 8.959 * [taylor]: Taking taylor expansion of N in N 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify 1 into 1 8.960 * [backup-simplify]: Simplify (+ 0 1) into 1 8.960 * [backup-simplify]: Simplify (/ 1 1) into 1 8.960 * [backup-simplify]: Simplify (log 1) into 0 8.961 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.961 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 8.961 * [backup-simplify]: Simplify (+ 1 0) into 1 8.962 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.964 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.964 * [backup-simplify]: Simplify 1 into 1 8.964 * [backup-simplify]: Simplify (+ 0 0) into 0 8.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.968 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.968 * [backup-simplify]: Simplify -1/2 into -1/2 8.968 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 8.969 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 8.969 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 8.969 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 8.969 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.969 * [taylor]: Taking taylor expansion of N in N 8.969 * [backup-simplify]: Simplify 0 into 0 8.969 * [backup-simplify]: Simplify 1 into 1 8.969 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.969 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.969 * [taylor]: Taking taylor expansion of N in N 8.969 * [backup-simplify]: Simplify 0 into 0 8.969 * [backup-simplify]: Simplify 1 into 1 8.969 * [backup-simplify]: Simplify (/ 1 1) into 1 8.969 * [taylor]: Taking taylor expansion of 1 in N 8.969 * [backup-simplify]: Simplify 1 into 1 8.970 * [backup-simplify]: Simplify (+ 1 0) into 1 8.970 * [backup-simplify]: Simplify (* 0 1) into 0 8.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.972 * [backup-simplify]: Simplify (+ 0 1) into 1 8.973 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.973 * [backup-simplify]: Simplify (log 1) into 0 8.973 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 8.973 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.973 * [taylor]: Taking taylor expansion of N in N 8.973 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify 1 into 1 8.973 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.973 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.973 * [taylor]: Taking taylor expansion of N in N 8.973 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify 1 into 1 8.974 * [backup-simplify]: Simplify (/ 1 1) into 1 8.974 * [taylor]: Taking taylor expansion of 1 in N 8.974 * [backup-simplify]: Simplify 1 into 1 8.974 * [backup-simplify]: Simplify (+ 1 0) into 1 8.975 * [backup-simplify]: Simplify (* 0 1) into 0 8.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.976 * [backup-simplify]: Simplify (+ 0 1) into 1 8.976 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.976 * [backup-simplify]: Simplify (log 1) into 0 8.976 * [backup-simplify]: Simplify 0 into 0 8.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.977 * [backup-simplify]: Simplify (+ 0 0) into 0 8.978 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.978 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.978 * [backup-simplify]: Simplify 1 into 1 8.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.979 * [backup-simplify]: Simplify (+ 0 0) into 0 8.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 8.981 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.981 * [backup-simplify]: Simplify -1/2 into -1/2 8.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.982 * [backup-simplify]: Simplify (+ 0 0) into 0 8.983 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 8.990 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 8.991 * [backup-simplify]: Simplify 1/3 into 1/3 8.991 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 8.991 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 8.991 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 8.991 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 8.991 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.991 * [taylor]: Taking taylor expansion of -1 in N 8.991 * [backup-simplify]: Simplify -1 into -1 8.991 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.991 * [taylor]: Taking taylor expansion of N in N 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify 1 into 1 8.991 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.991 * [taylor]: Taking taylor expansion of 1 in N 8.991 * [backup-simplify]: Simplify 1 into 1 8.991 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.991 * [taylor]: Taking taylor expansion of N in N 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify 1 into 1 8.992 * [backup-simplify]: Simplify (/ 1 1) into 1 8.992 * [backup-simplify]: Simplify (- 1) into -1 8.993 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.993 * [backup-simplify]: Simplify (* 0 -1) into 0 8.993 * [backup-simplify]: Simplify (* -1 0) into 0 8.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.994 * [backup-simplify]: Simplify (- 0) into 0 8.994 * [backup-simplify]: Simplify (+ 1 0) into 1 8.995 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.995 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.995 * [backup-simplify]: Simplify (log 1) into 0 8.995 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 8.996 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.996 * [taylor]: Taking taylor expansion of -1 in N 8.996 * [backup-simplify]: Simplify -1 into -1 8.997 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.997 * [taylor]: Taking taylor expansion of N in N 8.997 * [backup-simplify]: Simplify 0 into 0 8.997 * [backup-simplify]: Simplify 1 into 1 8.997 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.997 * [taylor]: Taking taylor expansion of 1 in N 8.997 * [backup-simplify]: Simplify 1 into 1 8.997 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.997 * [taylor]: Taking taylor expansion of N in N 8.997 * [backup-simplify]: Simplify 0 into 0 8.997 * [backup-simplify]: Simplify 1 into 1 8.997 * [backup-simplify]: Simplify (/ 1 1) into 1 8.997 * [backup-simplify]: Simplify (- 1) into -1 8.997 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.998 * [backup-simplify]: Simplify (* 0 -1) into 0 8.998 * [backup-simplify]: Simplify (* -1 0) into 0 8.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.999 * [backup-simplify]: Simplify (- 0) into 0 8.999 * [backup-simplify]: Simplify (+ 1 0) into 1 8.999 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.000 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.000 * [backup-simplify]: Simplify (log 1) into 0 9.000 * [backup-simplify]: Simplify 0 into 0 9.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.001 * [backup-simplify]: Simplify (- 0) into 0 9.001 * [backup-simplify]: Simplify (+ 0 0) into 0 9.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 9.002 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 9.003 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 9.003 * [backup-simplify]: Simplify -1 into -1 9.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.004 * [backup-simplify]: Simplify (- 0) into 0 9.005 * [backup-simplify]: Simplify (+ 0 0) into 0 9.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 9.007 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 9.010 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.010 * [backup-simplify]: Simplify -1/2 into -1/2 9.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.012 * [backup-simplify]: Simplify (- 0) into 0 9.012 * [backup-simplify]: Simplify (+ 0 0) into 0 9.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 9.015 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 9.020 * [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 9.021 * [backup-simplify]: Simplify -1/3 into -1/3 9.021 * [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)))) 9.021 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 9.021 * [backup-simplify]: Simplify (cbrt (log (/ (+ 1 N) N))) into (pow (log (/ (+ N 1) N)) 1/3) 9.021 * [approximate]: Taking taylor expansion of (pow (log (/ (+ N 1) N)) 1/3) in (N) around 0 9.021 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1) N)) 1/3) in N 9.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (/ (+ N 1) N))))) in N 9.022 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (/ (+ N 1) N)))) in N 9.022 * [taylor]: Taking taylor expansion of 1/3 in N 9.022 * [backup-simplify]: Simplify 1/3 into 1/3 9.022 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1) N))) in N 9.022 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 9.022 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.022 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.022 * [taylor]: Taking taylor expansion of N in N 9.022 * [backup-simplify]: Simplify 0 into 0 9.022 * [backup-simplify]: Simplify 1 into 1 9.022 * [taylor]: Taking taylor expansion of 1 in N 9.022 * [backup-simplify]: Simplify 1 into 1 9.022 * [taylor]: Taking taylor expansion of N in N 9.022 * [backup-simplify]: Simplify 0 into 0 9.022 * [backup-simplify]: Simplify 1 into 1 9.022 * [backup-simplify]: Simplify (+ 0 1) into 1 9.023 * [backup-simplify]: Simplify (/ 1 1) into 1 9.023 * [backup-simplify]: Simplify (log 1) into 0 9.024 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.024 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.024 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 9.024 * [backup-simplify]: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 9.025 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 9.025 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1) N)) 1/3) in N 9.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (/ (+ N 1) N))))) in N 9.025 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (/ (+ N 1) N)))) in N 9.025 * [taylor]: Taking taylor expansion of 1/3 in N 9.025 * [backup-simplify]: Simplify 1/3 into 1/3 9.025 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1) N))) in N 9.025 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 9.025 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.025 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.025 * [taylor]: Taking taylor expansion of N in N 9.025 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify 1 into 1 9.025 * [taylor]: Taking taylor expansion of 1 in N 9.025 * [backup-simplify]: Simplify 1 into 1 9.025 * [taylor]: Taking taylor expansion of N in N 9.025 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify 1 into 1 9.025 * [backup-simplify]: Simplify (+ 0 1) into 1 9.026 * [backup-simplify]: Simplify (/ 1 1) into 1 9.026 * [backup-simplify]: Simplify (log 1) into 0 9.027 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.027 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.027 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 9.027 * [backup-simplify]: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 9.027 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 9.028 * [backup-simplify]: Simplify (pow (- (log N)) 1/3) into (pow (- (log N)) 1/3) 9.028 * [backup-simplify]: Simplify (+ 1 0) into 1 9.029 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.030 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.031 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.031 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) 9.032 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 1/3 (/ 1 (log N)))) 9.032 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) 9.032 * [backup-simplify]: Simplify (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) into (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) 9.033 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.033 * [backup-simplify]: Simplify (+ 0 0) into 0 9.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.037 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.037 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.039 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 9.039 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) 9.040 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) 9.040 * [backup-simplify]: Simplify (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) into (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) 9.041 * [backup-simplify]: Simplify (+ (* (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) (pow N 2)) (+ (* (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) N) (pow (- (log N)) 1/3))) into (- (+ (pow (- (log N)) 1/3) (* 1/6 (* (pow (/ -1 (pow (log N) 2)) 1/3) (pow N 2)))) (+ (* 1/9 (* (pow (/ -1 (pow (log N) 5)) 1/3) (pow N 2))) (* 1/3 (* (pow (/ -1 (pow (log N) 2)) 1/3) N)))) 9.041 * [backup-simplify]: Simplify (cbrt (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (pow (log (* N (+ (/ 1 N) 1))) 1/3) 9.042 * [approximate]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1))) 1/3) in (N) around 0 9.042 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1))) 1/3) in N 9.042 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* N (+ (/ 1 N) 1)))))) in N 9.042 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* N (+ (/ 1 N) 1))))) in N 9.042 * [taylor]: Taking taylor expansion of 1/3 in N 9.042 * [backup-simplify]: Simplify 1/3 into 1/3 9.042 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1)))) in N 9.042 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 9.042 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.042 * [taylor]: Taking taylor expansion of N in N 9.042 * [backup-simplify]: Simplify 0 into 0 9.042 * [backup-simplify]: Simplify 1 into 1 9.042 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.042 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.042 * [taylor]: Taking taylor expansion of N in N 9.042 * [backup-simplify]: Simplify 0 into 0 9.042 * [backup-simplify]: Simplify 1 into 1 9.042 * [backup-simplify]: Simplify (/ 1 1) into 1 9.042 * [taylor]: Taking taylor expansion of 1 in N 9.042 * [backup-simplify]: Simplify 1 into 1 9.043 * [backup-simplify]: Simplify (+ 1 0) into 1 9.043 * [backup-simplify]: Simplify (* 0 1) into 0 9.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.045 * [backup-simplify]: Simplify (+ 0 1) into 1 9.045 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.046 * [backup-simplify]: Simplify (log 1) into 0 9.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.047 * [backup-simplify]: Simplify (+ 0 0) into 0 9.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.050 * [backup-simplify]: Simplify (log 1) into 0 9.050 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.050 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 9.050 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 9.050 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1))) 1/3) in N 9.050 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* N (+ (/ 1 N) 1)))))) in N 9.050 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* N (+ (/ 1 N) 1))))) in N 9.050 * [taylor]: Taking taylor expansion of 1/3 in N 9.050 * [backup-simplify]: Simplify 1/3 into 1/3 9.050 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1)))) in N 9.050 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 9.050 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.050 * [taylor]: Taking taylor expansion of N in N 9.050 * [backup-simplify]: Simplify 0 into 0 9.050 * [backup-simplify]: Simplify 1 into 1 9.050 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.050 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.050 * [taylor]: Taking taylor expansion of N in N 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify 1 into 1 9.051 * [backup-simplify]: Simplify (/ 1 1) into 1 9.051 * [taylor]: Taking taylor expansion of 1 in N 9.051 * [backup-simplify]: Simplify 1 into 1 9.051 * [backup-simplify]: Simplify (+ 1 0) into 1 9.052 * [backup-simplify]: Simplify (* 0 1) into 0 9.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.053 * [backup-simplify]: Simplify (+ 0 1) into 1 9.054 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.054 * [backup-simplify]: Simplify (log 1) into 0 9.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.055 * [backup-simplify]: Simplify (+ 0 0) into 0 9.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.058 * [backup-simplify]: Simplify (log 1) into 0 9.058 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.058 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 9.058 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 9.058 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 9.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.060 * [backup-simplify]: Simplify (+ 0 0) into 0 9.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.065 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 9.066 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.066 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 9.067 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 9.067 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 9.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.069 * [backup-simplify]: Simplify (+ 0 0) into 0 9.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 9.075 * [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 9.079 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 9.079 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.080 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 9.082 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 9.082 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 9.083 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 9.083 * [backup-simplify]: Simplify (cbrt (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (pow (log (* -1 (* N (- 1 (/ 1 N))))) 1/3) 9.083 * [approximate]: Taking taylor expansion of (pow (log (* -1 (* N (- 1 (/ 1 N))))) 1/3) in (N) around 0 9.083 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1 (/ 1 N))))) 1/3) in N 9.083 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* -1 (* N (- 1 (/ 1 N)))))))) in N 9.083 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* -1 (* N (- 1 (/ 1 N))))))) in N 9.083 * [taylor]: Taking taylor expansion of 1/3 in N 9.083 * [backup-simplify]: Simplify 1/3 into 1/3 9.083 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1 (/ 1 N)))))) in N 9.083 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 9.083 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.083 * [taylor]: Taking taylor expansion of -1 in N 9.083 * [backup-simplify]: Simplify -1 into -1 9.083 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.084 * [taylor]: Taking taylor expansion of N in N 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify 1 into 1 9.084 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.084 * [taylor]: Taking taylor expansion of 1 in N 9.084 * [backup-simplify]: Simplify 1 into 1 9.084 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.084 * [taylor]: Taking taylor expansion of N in N 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify 1 into 1 9.084 * [backup-simplify]: Simplify (/ 1 1) into 1 9.085 * [backup-simplify]: Simplify (- 1) into -1 9.085 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.085 * [backup-simplify]: Simplify (* 0 -1) into 0 9.086 * [backup-simplify]: Simplify (* -1 0) into 0 9.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.087 * [backup-simplify]: Simplify (- 0) into 0 9.088 * [backup-simplify]: Simplify (+ 1 0) into 1 9.088 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.089 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.089 * [backup-simplify]: Simplify (log 1) into 0 9.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.091 * [backup-simplify]: Simplify (- 0) into 0 9.091 * [backup-simplify]: Simplify (+ 0 0) into 0 9.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 9.093 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 9.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 9.095 * [backup-simplify]: Simplify (log -1) into (log -1) 9.096 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 9.096 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 9.097 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 9.097 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1 (/ 1 N))))) 1/3) in N 9.097 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* -1 (* N (- 1 (/ 1 N)))))))) in N 9.097 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* -1 (* N (- 1 (/ 1 N))))))) in N 9.097 * [taylor]: Taking taylor expansion of 1/3 in N 9.097 * [backup-simplify]: Simplify 1/3 into 1/3 9.097 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1 (/ 1 N)))))) in N 9.097 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 9.097 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.097 * [taylor]: Taking taylor expansion of -1 in N 9.097 * [backup-simplify]: Simplify -1 into -1 9.097 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.097 * [taylor]: Taking taylor expansion of N in N 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify 1 into 1 9.097 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.097 * [taylor]: Taking taylor expansion of 1 in N 9.097 * [backup-simplify]: Simplify 1 into 1 9.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.097 * [taylor]: Taking taylor expansion of N in N 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify 1 into 1 9.098 * [backup-simplify]: Simplify (/ 1 1) into 1 9.098 * [backup-simplify]: Simplify (- 1) into -1 9.098 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.099 * [backup-simplify]: Simplify (* 0 -1) into 0 9.099 * [backup-simplify]: Simplify (* -1 0) into 0 9.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.101 * [backup-simplify]: Simplify (- 0) into 0 9.101 * [backup-simplify]: Simplify (+ 1 0) into 1 9.102 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.102 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.103 * [backup-simplify]: Simplify (log 1) into 0 9.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.104 * [backup-simplify]: Simplify (- 0) into 0 9.104 * [backup-simplify]: Simplify (+ 0 0) into 0 9.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 9.106 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 9.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 9.108 * [backup-simplify]: Simplify (log -1) into (log -1) 9.109 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 9.109 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 9.110 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 9.110 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 9.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.112 * [backup-simplify]: Simplify (- 0) into 0 9.112 * [backup-simplify]: Simplify (+ 0 0) into 0 9.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 9.115 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 9.117 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 9.120 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 9.121 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 9.122 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 9.123 * [backup-simplify]: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 9.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.124 * [backup-simplify]: Simplify (- 0) into 0 9.124 * [backup-simplify]: Simplify (+ 0 0) into 0 9.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 9.127 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 9.140 * [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 9.144 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 9.145 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 9.146 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 9.148 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 9.149 * [backup-simplify]: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 9.151 * [backup-simplify]: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) 9.151 * * * [progress]: simplifying candidates 9.151 * * * * [progress]: [ 1 / 109 ] simplifiying candidate # 9.151 * * * * [progress]: [ 2 / 109 ] simplifiying candidate # 9.151 * * * * [progress]: [ 3 / 109 ] simplifiying candidate # 9.151 * * * * [progress]: [ 4 / 109 ] simplifiying candidate # 9.151 * * * * [progress]: [ 5 / 109 ] simplifiying candidate # 9.151 * * * * [progress]: [ 6 / 109 ] simplifiying candidate # 9.151 * * * * [progress]: [ 7 / 109 ] simplifiying candidate # 9.151 * * * * [progress]: [ 8 / 109 ] simplifiying candidate # 9.151 * * * * [progress]: [ 9 / 109 ] simplifiying candidate # 9.152 * * * * [progress]: [ 10 / 109 ] simplifiying candidate # 9.152 * * * * [progress]: [ 11 / 109 ] simplifiying candidate # 9.152 * * * * [progress]: [ 12 / 109 ] simplifiying candidate # 9.152 * * * * [progress]: [ 13 / 109 ] simplifiying candidate # 9.152 * * * * [progress]: [ 14 / 109 ] simplifiying candidate # 9.152 * * * * [progress]: [ 15 / 109 ] simplifiying candidate # 9.152 * * * * [progress]: [ 16 / 109 ] simplifiying candidate # 9.152 * * * * [progress]: [ 17 / 109 ] simplifiying candidate # 9.152 * * * * [progress]: [ 18 / 109 ] simplifiying candidate # 9.152 * * * * [progress]: [ 19 / 109 ] simplifiying candidate # 9.152 * * * * [progress]: [ 20 / 109 ] simplifiying candidate # 9.152 * * * * [progress]: [ 21 / 109 ] simplifiying candidate # 9.152 * * * * [progress]: [ 22 / 109 ] simplifiying candidate # 9.152 * * * * [progress]: [ 23 / 109 ] simplifiying candidate # 9.153 * * * * [progress]: [ 24 / 109 ] simplifiying candidate # 9.153 * * * * [progress]: [ 25 / 109 ] simplifiying candidate # 9.153 * * * * [progress]: [ 26 / 109 ] simplifiying candidate # 9.153 * * * * [progress]: [ 27 / 109 ] simplifiying candidate # 9.153 * * * * [progress]: [ 28 / 109 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))))> 9.153 * * * * [progress]: [ 29 / 109 ] simplifiying candidate # 9.153 * * * * [progress]: [ 30 / 109 ] simplifiying candidate # 9.153 * * * * [progress]: [ 31 / 109 ] simplifiying candidate # 9.153 * * * * [progress]: [ 32 / 109 ] simplifiying candidate # 9.153 * * * * [progress]: [ 33 / 109 ] simplifiying candidate # 9.153 * * * * [progress]: [ 34 / 109 ] simplifiying candidate # 9.153 * * * * [progress]: [ 35 / 109 ] simplifiying candidate # 9.153 * * * * [progress]: [ 36 / 109 ] simplifiying candidate # 9.153 * * * * [progress]: [ 37 / 109 ] simplifiying candidate # 9.153 * * * * [progress]: [ 38 / 109 ] simplifiying candidate # 9.154 * * * * [progress]: [ 39 / 109 ] simplifiying candidate # 9.154 * * * * [progress]: [ 40 / 109 ] simplifiying candidate # 9.154 * * * * [progress]: [ 41 / 109 ] simplifiying candidate # 9.154 * * * * [progress]: [ 42 / 109 ] simplifiying candidate # 9.154 * * * * [progress]: [ 43 / 109 ] simplifiying candidate # 9.154 * * * * [progress]: [ 44 / 109 ] simplifiying candidate # 9.154 * * * * [progress]: [ 45 / 109 ] simplifiying candidate # 9.154 * * * * [progress]: [ 46 / 109 ] simplifiying candidate # 9.154 * * * * [progress]: [ 47 / 109 ] simplifiying candidate # 9.154 * * * * [progress]: [ 48 / 109 ] simplifiying candidate # 9.154 * * * * [progress]: [ 49 / 109 ] simplifiying candidate # 9.154 * * * * [progress]: [ 50 / 109 ] simplifiying candidate # 9.154 * * * * [progress]: [ 51 / 109 ] simplifiying candidate # 9.154 * * * * [progress]: [ 52 / 109 ] simplifiying candidate # 9.154 * * * * [progress]: [ 53 / 109 ] simplifiying candidate # 9.155 * * * * [progress]: [ 54 / 109 ] simplifiying candidate # 9.155 * * * * [progress]: [ 55 / 109 ] simplifiying candidate # 9.155 * * * * [progress]: [ 56 / 109 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))) (cbrt (log (/ (+ 1 N) N)))))> 9.155 * * * * [progress]: [ 57 / 109 ] simplifiying candidate # 9.155 * * * * [progress]: [ 58 / 109 ] simplifiying candidate # 9.155 * * * * [progress]: [ 59 / 109 ] simplifiying candidate # 9.155 * * * * [progress]: [ 60 / 109 ] simplifiying candidate # 9.155 * * * * [progress]: [ 61 / 109 ] simplifiying candidate # 9.155 * * * * [progress]: [ 62 / 109 ] simplifiying candidate # 9.155 * * * * [progress]: [ 63 / 109 ] simplifiying candidate # 9.155 * * * * [progress]: [ 64 / 109 ] simplifiying candidate # 9.155 * * * * [progress]: [ 65 / 109 ] simplifiying candidate # 9.155 * * * * [progress]: [ 66 / 109 ] simplifiying candidate # 9.155 * * * * [progress]: [ 67 / 109 ] simplifiying candidate # 9.156 * * * * [progress]: [ 68 / 109 ] simplifiying candidate # 9.156 * * * * [progress]: [ 69 / 109 ] simplifiying candidate # 9.156 * * * * [progress]: [ 70 / 109 ] simplifiying candidate # 9.156 * * * * [progress]: [ 71 / 109 ] simplifiying candidate # 9.156 * * * * [progress]: [ 72 / 109 ] simplifiying candidate # 9.156 * * * * [progress]: [ 73 / 109 ] simplifiying candidate # 9.156 * * * * [progress]: [ 74 / 109 ] simplifiying candidate # 9.156 * * * * [progress]: [ 75 / 109 ] simplifiying candidate # 9.156 * * * * [progress]: [ 76 / 109 ] simplifiying candidate # 9.156 * * * * [progress]: [ 77 / 109 ] simplifiying candidate # 9.156 * * * * [progress]: [ 78 / 109 ] simplifiying candidate # 9.156 * * * * [progress]: [ 79 / 109 ] simplifiying candidate # 9.156 * * * * [progress]: [ 80 / 109 ] simplifiying candidate # 9.156 * * * * [progress]: [ 81 / 109 ] simplifiying candidate # 9.156 * * * * [progress]: [ 82 / 109 ] simplifiying candidate # 9.156 * * * * [progress]: [ 83 / 109 ] simplifiying candidate # 9.157 * * * * [progress]: [ 84 / 109 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N))))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N)))))> 9.157 * * * * [progress]: [ 85 / 109 ] simplifiying candidate # 9.157 * * * * [progress]: [ 86 / 109 ] simplifiying candidate # 9.157 * * * * [progress]: [ 87 / 109 ] simplifiying candidate # 9.157 * * * * [progress]: [ 88 / 109 ] simplifiying candidate # 9.157 * * * * [progress]: [ 89 / 109 ] simplifiying candidate # 9.157 * * * * [progress]: [ 90 / 109 ] simplifiying candidate # 9.157 * * * * [progress]: [ 91 / 109 ] simplifiying candidate # 9.157 * * * * [progress]: [ 92 / 109 ] simplifiying candidate # 9.157 * * * * [progress]: [ 93 / 109 ] simplifiying candidate # 9.157 * * * * [progress]: [ 94 / 109 ] simplifiying candidate # 9.157 * * * * [progress]: [ 95 / 109 ] simplifiying candidate # 9.157 * * * * [progress]: [ 96 / 109 ] simplifiying candidate # 9.157 * * * * [progress]: [ 97 / 109 ] simplifiying candidate #real (real->posit16 (cbrt (log (/ (+ 1 N) N)))))))> 9.157 * * * * [progress]: [ 98 / 109 ] simplifiying candidate # 9.158 * * * * [progress]: [ 99 / 109 ] simplifiying candidate # 9.158 * * * * [progress]: [ 100 / 109 ] simplifiying candidate # 9.158 * * * * [progress]: [ 101 / 109 ] simplifiying candidate # 9.158 * * * * [progress]: [ 102 / 109 ] simplifiying candidate # 9.158 * * * * [progress]: [ 103 / 109 ] simplifiying candidate # 9.158 * * * * [progress]: [ 104 / 109 ] simplifiying candidate # 9.158 * * * * [progress]: [ 105 / 109 ] simplifiying candidate # 9.158 * * * * [progress]: [ 106 / 109 ] simplifiying candidate # 9.158 * * * * [progress]: [ 107 / 109 ] simplifiying candidate # 9.158 * * * * [progress]: [ 108 / 109 ] simplifiying candidate # 9.158 * * * * [progress]: [ 109 / 109 ] simplifiying candidate # 9.160 * [simplify]: Simplifying: (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 (+ 1 N))) (* (cbrt 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)) (cbrt (+ 1 N))) 1)) (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)) 1)) (log (/ (sqrt (+ 1 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log 1) (log (/ (+ 1 N) N)) (log (+ 1 N)) (log (/ 1 N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (exp (log (/ (+ 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 (* (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 (+ 1 N))) (* (cbrt 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)) (cbrt (+ 1 N))) 1)) (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)) 1)) (log (/ (sqrt (+ 1 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log 1) (log (/ (+ 1 N) N)) (log (+ 1 N)) (log (/ 1 N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (exp (log (/ (+ 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 (* (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 (+ 1 N))) (* (cbrt 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)) (cbrt (+ 1 N))) 1)) (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)) 1)) (log (/ (sqrt (+ 1 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log 1) (log (/ (+ 1 N) N)) (log (+ 1 N)) (log (/ 1 N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (exp (log (/ (+ 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 (cbrt (log (/ (+ 1 N) N)))) (exp (cbrt (log (/ (+ 1 N) N)))) (cbrt 1) (cbrt (log (/ (+ 1 N) N))) (cbrt (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N))))) (cbrt (cbrt (log (/ (+ 1 N) N)))) (cbrt (sqrt (log (/ (+ 1 N) N)))) (cbrt (sqrt (log (/ (+ 1 N) N)))) (cbrt 1) (cbrt (log (/ (+ 1 N) N))) (* (cbrt (cbrt (log (/ (+ 1 N) N)))) (cbrt (cbrt (log (/ (+ 1 N) N))))) (cbrt (cbrt (log (/ (+ 1 N) N)))) (* (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N)))) (sqrt (cbrt (log (/ (+ 1 N) N)))) (sqrt (cbrt (log (/ (+ 1 N) N)))) (real->posit16 (cbrt (log (/ (+ 1 N) 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)))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- N (+ (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)))) (- (+ (pow (- (log N)) 1/3) (* 1/6 (* (pow (/ -1 (pow (log N) 2)) 1/3) (pow N 2)))) (+ (* 1/9 (* (pow (/ -1 (pow (log N) 5)) 1/3) (pow N 2))) (* 1/3 (* (pow (/ -1 (pow (log N) 2)) 1/3) N)))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) 9.163 * * [simplify]: iteration 0: 134 enodes 9.219 * * [simplify]: iteration 1: 290 enodes 9.361 * * [simplify]: iteration 2: 723 enodes 9.751 * * [simplify]: iteration 3: 2246 enodes 10.445 * * [simplify]: iteration complete: 5000 enodes 10.446 * * [simplify]: Extracting #0: cost 44 inf + 0 10.446 * * [simplify]: Extracting #1: cost 256 inf + 2 10.448 * * [simplify]: Extracting #2: cost 862 inf + 1339 10.456 * * [simplify]: Extracting #3: cost 1328 inf + 31188 10.485 * * [simplify]: Extracting #4: cost 916 inf + 117315 10.533 * * [simplify]: Extracting #5: cost 677 inf + 199817 10.590 * * [simplify]: Extracting #6: cost 406 inf + 302964 10.672 * * [simplify]: Extracting #7: cost 206 inf + 379112 10.764 * * [simplify]: Extracting #8: cost 92 inf + 440236 10.875 * * [simplify]: Extracting #9: cost 13 inf + 484201 10.973 * * [simplify]: Extracting #10: cost 0 inf + 487994 11.079 * * [simplify]: Extracting #11: cost 0 inf + 486791 11.172 * [simplify]: Simplified to: (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (+ (log (/ 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(sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (+ (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (cbrt (+ N 1)) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1))))) (log (/ (cbrt (+ N 1)) (sqrt N))) (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N)) (- (+ (log (cbrt N)) (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) (- (+ (log (cbrt N)) (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) 0 (log (/ (+ N 1) N)) (log (+ N 1)) (- (log N)) 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N 1) N)))) (sqrt (cbrt (log (/ (+ N 1) N)))) (real->posit16 (cbrt (log (/ (+ N 1) N)))) (- (- N (log N)) (* (* N N) 1/2)) (+ (* (/ 1 (* N N)) (+ (/ 1/3 N) -1/2)) (/ 1 N)) (+ (* (/ 1 (* N N)) (+ (/ 1/3 N) -1/2)) (/ 1 N)) (- (- N (log N)) (* (* N N) 1/2)) (+ (* (/ 1 (* N N)) (+ (/ 1/3 N) -1/2)) (/ 1 N)) (+ (* (/ 1 (* N N)) (+ (/ 1/3 N) -1/2)) (/ 1 N)) (- (- N (log N)) (* (* N N) 1/2)) (+ (* (/ 1 (* N N)) (+ (/ 1/3 N) -1/2)) (/ 1 N)) (+ (* (/ 1 (* N N)) (+ (/ 1/3 N) -1/2)) (/ 1 N)) (+ (+ (cbrt (- (log N))) (* (cbrt (/ (/ -1 (log N)) (log N))) (- (* 1/6 (* N N)) (* N 1/3)))) (* (* (* N N) -1/9) (cbrt (/ -1 (pow (log N) 5))))) (- (* (cbrt (/ 1 (pow N 7))) 1/12) (- (* (cbrt (/ (/ 1 (* N N)) (* N N))) 1/6) (cbrt (/ 1 N)))) (+ (* (/ (cbrt (/ -1 N)) (/ N (cbrt -1))) (+ (/ 1/12 N) -1/6)) (* (cbrt -1) (cbrt (/ -1 N)))) 11.184 * * * [progress]: adding candidates to table 11.653 * [progress]: [Phase 3 of 3] Extracting. 11.653 * * [regime]: Finding splitpoints for: (# # # # #) 11.654 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.654 * * * * [regimes]: Trying to branch on N from (# # # # #) 11.718 * * * [regime]: Found split indices: #