0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.087 * * * [progress]: [2/2] Setting up program. 0.092 * [progress]: [Phase 2 of 3] Improving. 0.092 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.092 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.092 * * [simplify]: iteration 1: (6 enodes) 0.097 * * [simplify]: iteration 2: (23 enodes) 0.106 * * [simplify]: iteration 3: (28 enodes) 0.114 * * [simplify]: Extracting #0: cost 1 inf + 0 0.114 * * [simplify]: Extracting #1: cost 5 inf + 0 0.114 * * [simplify]: Extracting #2: cost 10 inf + 0 0.114 * * [simplify]: Extracting #3: cost 11 inf + 1 0.114 * * [simplify]: Extracting #4: cost 6 inf + 228 0.114 * * [simplify]: Extracting #5: cost 1 inf + 896 0.115 * * [simplify]: Extracting #6: cost 0 inf + 1118 0.115 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.120 * * [progress]: iteration 1 / 4 0.120 * * * [progress]: picking best candidate 0.125 * * * * [pick]: Picked # 0.125 * * * [progress]: localizing error 0.143 * * * [progress]: generating rewritten candidates 0.143 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.151 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.155 * * * [progress]: generating series expansions 0.155 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.155 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.155 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.155 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.155 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.155 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.155 * [taylor]: Taking taylor expansion of N in N 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [taylor]: Taking taylor expansion of 1 in N 0.155 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (+ 0 1) into 1 0.172 * [backup-simplify]: Simplify (log 1) into 0 0.172 * [taylor]: Taking taylor expansion of (log N) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (log 1) into 0 0.173 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.173 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.173 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of 1 in N 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (+ 0 1) into 1 0.173 * [backup-simplify]: Simplify (log 1) into 0 0.173 * [taylor]: Taking taylor expansion of (log N) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (log 1) into 0 0.174 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.174 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.174 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.174 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.175 * [backup-simplify]: Simplify (+ 1 0) into 1 0.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.177 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.177 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify (+ 1 0) into 1 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.182 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.182 * [backup-simplify]: Simplify -1/2 into -1/2 0.182 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.182 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.183 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.183 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.183 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.183 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 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 (+ 1 0) into 1 0.183 * [backup-simplify]: Simplify (log 1) into 0 0.183 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.183 * [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 (/ 1 1) into 1 0.184 * [backup-simplify]: Simplify (log 1) into 0 0.184 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.184 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.184 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of 1 in N 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (+ 1 0) into 1 0.185 * [backup-simplify]: Simplify (log 1) into 0 0.185 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [backup-simplify]: Simplify (log 1) into 0 0.186 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.186 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.186 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.186 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 1) into 1 0.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.189 * [backup-simplify]: Simplify (- 0) into 0 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.195 * [backup-simplify]: Simplify -1/2 into -1/2 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [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 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.207 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.207 * [backup-simplify]: Simplify 1/3 into 1/3 0.208 * [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)))) 0.208 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.208 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.208 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.208 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.208 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.208 * [taylor]: Taking taylor expansion of 1 in N 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [backup-simplify]: Simplify (- 1) into -1 0.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.210 * [backup-simplify]: Simplify (log -1) into (log -1) 0.210 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.210 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.210 * [taylor]: Taking taylor expansion of -1 in N 0.210 * [backup-simplify]: Simplify -1 into -1 0.210 * [taylor]: Taking taylor expansion of N in N 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ -1 1) into -1 0.211 * [backup-simplify]: Simplify (log -1) into (log -1) 0.211 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.211 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.211 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.211 * [taylor]: Taking taylor expansion of 1 in N 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.211 * [taylor]: Taking taylor expansion of N in N 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [backup-simplify]: Simplify (- 1) into -1 0.213 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.213 * [backup-simplify]: Simplify (log -1) into (log -1) 0.213 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.213 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.213 * [taylor]: Taking taylor expansion of -1 in N 0.213 * [backup-simplify]: Simplify -1 into -1 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ -1 1) into -1 0.214 * [backup-simplify]: Simplify (log -1) into (log -1) 0.215 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.216 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.216 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.217 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ 1 0) into 1 0.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ -1 0) into -1 0.224 * [backup-simplify]: Simplify -1 into -1 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.234 * [backup-simplify]: Simplify -1/2 into -1/2 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [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 0.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [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 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.247 * [backup-simplify]: Simplify -1/3 into -1/3 0.247 * [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)))) 0.247 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.248 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.248 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.248 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.248 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.248 * [taylor]: Taking taylor expansion of N in N 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of 1 in N 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (+ 0 1) into 1 0.248 * [backup-simplify]: Simplify (log 1) into 0 0.248 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.248 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.248 * [taylor]: Taking taylor expansion of N in N 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of 1 in N 0.248 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (+ 0 1) into 1 0.249 * [backup-simplify]: Simplify (log 1) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (+ 1 0) into 1 0.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.252 * [backup-simplify]: Simplify -1/2 into -1/2 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [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 0.256 * [backup-simplify]: Simplify 1/3 into 1/3 0.256 * [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))) 0.256 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.256 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.256 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.256 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.256 * [taylor]: Taking taylor expansion of N in N 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [taylor]: Taking taylor expansion of 1 in N 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (+ 1 0) into 1 0.258 * [backup-simplify]: Simplify (log 1) into 0 0.258 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.258 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.258 * [taylor]: Taking taylor expansion of N in N 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [taylor]: Taking taylor expansion of 1 in N 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (+ 1 0) into 1 0.259 * [backup-simplify]: Simplify (log 1) into 0 0.259 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.259 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 1) into 1 0.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.262 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.266 * [backup-simplify]: Simplify -1/2 into -1/2 0.267 * [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)))) 0.267 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.267 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.267 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.267 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.267 * [taylor]: Taking taylor expansion of 1 in N 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [backup-simplify]: Simplify (- 1) into -1 0.268 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.269 * [backup-simplify]: Simplify (log -1) into (log -1) 0.269 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.269 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.269 * [taylor]: Taking taylor expansion of 1 in N 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.269 * [taylor]: Taking taylor expansion of N in N 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [backup-simplify]: Simplify (- 1) into -1 0.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.270 * [backup-simplify]: Simplify (log -1) into (log -1) 0.271 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.272 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 1 0) into 1 0.274 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.274 * [backup-simplify]: Simplify -1 into -1 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.279 * [backup-simplify]: Simplify -1/2 into -1/2 0.280 * [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)))) 0.280 * * * [progress]: simplifying candidates 0.280 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.280 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.280 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.280 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.280 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.280 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.280 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.280 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.280 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.280 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.280 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 16 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.281 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.281 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.282 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.282 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.283 * [simplify]: Simplifying: (/ (+ 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))) (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 (+ (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 (* 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)))) 0.284 * * [simplify]: iteration 1: (97 enodes) 0.330 * * [simplify]: iteration 2: (369 enodes) 0.439 * * [simplify]: iteration 3: (631 enodes) 0.634 * * [simplify]: iteration 4: (1174 enodes) 1.443 * * [simplify]: Extracting #0: cost 41 inf + 0 1.443 * * [simplify]: Extracting #1: cost 228 inf + 1 1.445 * * [simplify]: Extracting #2: cost 496 inf + 3666 1.449 * * [simplify]: Extracting #3: cost 442 inf + 23009 1.465 * * [simplify]: Extracting #4: cost 156 inf + 93517 1.489 * * [simplify]: Extracting #5: cost 10 inf + 139110 1.511 * * [simplify]: Extracting #6: cost 0 inf + 141957 1.551 * [simplify]: Simplified to: (/ (+ 1 N) N) (log (- (log (+ 1 N)) (log N))) (/ (+ 1 N) N) (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) (cbrt (- (log (+ 1 N)) (log N))) (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (- (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (* (log N) (* (log N) (log N)))) (+ (* (log N) (+ (log (+ 1 N)) (log N))) (* (log (+ 1 N)) (log (+ 1 N)))) (- (log N)) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (+ (log (+ 1 N)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log (* (cbrt N) (cbrt N)))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (- 1 (- N (* N N)))) (log N)) (+ (log N) (log (- N 1))) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (+ 1 N)) 0 (log (+ 1 N)) (log (+ 1 (* N (* N N)))) (log (- 1 (- N (* N N)))) (log (- (* N N) 1)) (log (- N 1)) (log (+ 1 N)) (log (log (+ 1 N))) (+ 1 N) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (log (+ 1 N))) (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N))) (real->posit16 (log (+ 1 N))) (- (- N (log N)) (* (* N N) 1/2)) (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N 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))) 1.555 * * * [progress]: adding candidates to table 2.009 * * [progress]: iteration 2 / 4 2.009 * * * [progress]: picking best candidate 2.015 * * * * [pick]: Picked # 2.015 * * * [progress]: localizing error 2.036 * * * [progress]: generating rewritten candidates 2.036 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.144 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 2.151 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.172 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.199 * * * [progress]: generating series expansions 2.199 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.200 * [backup-simplify]: Simplify (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.200 * [approximate]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 2.200 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 2.200 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 2.200 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 2.200 * [taylor]: Taking taylor expansion of 1/3 in N 2.200 * [backup-simplify]: Simplify 1/3 into 1/3 2.200 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.200 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.200 * [taylor]: Taking taylor expansion of N in N 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 1 into 1 2.201 * [backup-simplify]: Simplify (* 1 1) into 1 2.202 * [backup-simplify]: Simplify (* 1 1) into 1 2.202 * [backup-simplify]: Simplify (/ 1 1) into 1 2.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.202 * [taylor]: Taking taylor expansion of N in N 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [backup-simplify]: Simplify (/ 1 1) into 1 2.202 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 2.203 * [taylor]: Taking taylor expansion of 1/2 in N 2.203 * [backup-simplify]: Simplify 1/2 into 1/2 2.203 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.203 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.203 * [taylor]: Taking taylor expansion of N in N 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 1 into 1 2.203 * [backup-simplify]: Simplify (* 1 1) into 1 2.203 * [backup-simplify]: Simplify (/ 1 1) into 1 2.203 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 2.203 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 2.203 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 2.203 * [taylor]: Taking taylor expansion of 1/3 in N 2.204 * [backup-simplify]: Simplify 1/3 into 1/3 2.204 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.204 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.204 * [taylor]: Taking taylor expansion of N in N 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify 1 into 1 2.204 * [backup-simplify]: Simplify (* 1 1) into 1 2.204 * [backup-simplify]: Simplify (* 1 1) into 1 2.205 * [backup-simplify]: Simplify (/ 1 1) into 1 2.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.205 * [taylor]: Taking taylor expansion of N in N 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [backup-simplify]: Simplify (/ 1 1) into 1 2.205 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 2.205 * [taylor]: Taking taylor expansion of 1/2 in N 2.205 * [backup-simplify]: Simplify 1/2 into 1/2 2.205 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.205 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.205 * [taylor]: Taking taylor expansion of N in N 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 1 into 1 2.206 * [backup-simplify]: Simplify (* 1 1) into 1 2.206 * [backup-simplify]: Simplify (/ 1 1) into 1 2.207 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.207 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.207 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.208 * [backup-simplify]: Simplify 1/3 into 1/3 2.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.211 * [backup-simplify]: Simplify (+ 0 0) into 0 2.211 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.212 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.212 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.212 * [backup-simplify]: Simplify -1/2 into -1/2 2.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.216 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.216 * [backup-simplify]: Simplify (+ 0 1) into 1 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.219 * [backup-simplify]: Simplify (- 0) into 0 2.219 * [backup-simplify]: Simplify (+ 1 0) into 1 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 2.220 * [backup-simplify]: Simplify (+ (/ 1/3 (* (/ 1 N) (* (/ 1 N) (/ 1 N)))) (- (/ 1 (/ 1 N)) (/ 1/2 (* (/ 1 N) (/ 1 N))))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 2.220 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 2.220 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 2.220 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 2.220 * [taylor]: Taking taylor expansion of N in N 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.220 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.220 * [taylor]: Taking taylor expansion of 1/3 in N 2.220 * [backup-simplify]: Simplify 1/3 into 1/3 2.220 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.220 * [taylor]: Taking taylor expansion of N in N 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.220 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.220 * [taylor]: Taking taylor expansion of 1/2 in N 2.220 * [backup-simplify]: Simplify 1/2 into 1/2 2.220 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.220 * [taylor]: Taking taylor expansion of N in N 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.220 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 2.220 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 2.220 * [taylor]: Taking taylor expansion of N in N 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.221 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.221 * [taylor]: Taking taylor expansion of 1/3 in N 2.221 * [backup-simplify]: Simplify 1/3 into 1/3 2.221 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.221 * [taylor]: Taking taylor expansion of N in N 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.221 * [taylor]: Taking taylor expansion of 1/2 in N 2.221 * [backup-simplify]: Simplify 1/2 into 1/2 2.221 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.221 * [taylor]: Taking taylor expansion of N in N 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify (+ 1 0) into 1 2.223 * [backup-simplify]: Simplify (+ 1 0) into 1 2.223 * [backup-simplify]: Simplify 1 into 1 2.223 * [backup-simplify]: Simplify (+ 0 0) into 0 2.223 * [backup-simplify]: Simplify (* 1 1) into 1 2.224 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.224 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.225 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.225 * [backup-simplify]: Simplify -1/2 into -1/2 2.225 * [backup-simplify]: Simplify (* 1 1) into 1 2.225 * [backup-simplify]: Simplify (* 1 1) into 1 2.226 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.226 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.228 * [backup-simplify]: Simplify (- 0) into 0 2.229 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.229 * [backup-simplify]: Simplify 1/3 into 1/3 2.229 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.230 * [backup-simplify]: Simplify (+ (/ 1/3 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))) (- (/ 1 (/ 1 (- N))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))))) into (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) 2.230 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in (N) around 0 2.230 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 2.230 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 2.230 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.230 * [taylor]: Taking taylor expansion of 1/2 in N 2.230 * [backup-simplify]: Simplify 1/2 into 1/2 2.230 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.230 * [taylor]: Taking taylor expansion of N in N 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 2.230 * [taylor]: Taking taylor expansion of N in N 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.230 * [taylor]: Taking taylor expansion of 1/3 in N 2.230 * [backup-simplify]: Simplify 1/3 into 1/3 2.231 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 2.231 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 2.231 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.231 * [taylor]: Taking taylor expansion of 1/2 in N 2.231 * [backup-simplify]: Simplify 1/2 into 1/2 2.231 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.231 * [taylor]: Taking taylor expansion of 1/3 in N 2.231 * [backup-simplify]: Simplify 1/3 into 1/3 2.231 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.231 * [taylor]: Taking taylor expansion of N in N 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (+ 0 0) into 0 2.232 * [backup-simplify]: Simplify (+ 0 0) into 0 2.232 * [backup-simplify]: Simplify (- 0) into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (+ 1 0) into 1 2.233 * [backup-simplify]: Simplify (+ 0 1) into 1 2.234 * [backup-simplify]: Simplify (- 1) into -1 2.234 * [backup-simplify]: Simplify -1 into -1 2.234 * [backup-simplify]: Simplify (* 1 1) into 1 2.234 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.235 * [backup-simplify]: Simplify (+ 0 0) into 0 2.235 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.236 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.236 * [backup-simplify]: Simplify -1/2 into -1/2 2.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.237 * [backup-simplify]: Simplify (* 1 1) into 1 2.238 * [backup-simplify]: Simplify (* 1 1) into 1 2.238 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.239 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.239 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.240 * [backup-simplify]: Simplify (- 1/3) into -1/3 2.240 * [backup-simplify]: Simplify -1/3 into -1/3 2.240 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.240 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 2.240 * [backup-simplify]: Simplify (/ 1/2 (* N N)) into (/ 1/2 (pow N 2)) 2.240 * [approximate]: Taking taylor expansion of (/ 1/2 (pow N 2)) in (N) around 0 2.240 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 2.240 * [taylor]: Taking taylor expansion of 1/2 in N 2.240 * [backup-simplify]: Simplify 1/2 into 1/2 2.240 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.240 * [taylor]: Taking taylor expansion of N in N 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 1 into 1 2.241 * [backup-simplify]: Simplify (* 1 1) into 1 2.241 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.241 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 2.241 * [taylor]: Taking taylor expansion of 1/2 in N 2.241 * [backup-simplify]: Simplify 1/2 into 1/2 2.241 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.241 * [taylor]: Taking taylor expansion of N in N 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 1 into 1 2.242 * [backup-simplify]: Simplify (* 1 1) into 1 2.242 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.242 * [backup-simplify]: Simplify 1/2 into 1/2 2.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.244 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.251 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.253 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.256 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 2.257 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 N) (/ 1 N))) into (* 1/2 (pow N 2)) 2.257 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 2.257 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.257 * [taylor]: Taking taylor expansion of 1/2 in N 2.257 * [backup-simplify]: Simplify 1/2 into 1/2 2.257 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.257 * [taylor]: Taking taylor expansion of N in N 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 1 into 1 2.257 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.257 * [taylor]: Taking taylor expansion of 1/2 in N 2.257 * [backup-simplify]: Simplify 1/2 into 1/2 2.257 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.257 * [taylor]: Taking taylor expansion of N in N 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 1 into 1 2.257 * [backup-simplify]: Simplify (* 1 1) into 1 2.258 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.258 * [backup-simplify]: Simplify 1/2 into 1/2 2.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.259 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.261 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.272 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 2.276 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/2 (pow N 2)) 2.276 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 2.276 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.276 * [taylor]: Taking taylor expansion of 1/2 in N 2.276 * [backup-simplify]: Simplify 1/2 into 1/2 2.276 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.276 * [taylor]: Taking taylor expansion of N in N 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.276 * [taylor]: Taking taylor expansion of 1/2 in N 2.276 * [backup-simplify]: Simplify 1/2 into 1/2 2.276 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.276 * [taylor]: Taking taylor expansion of N in N 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.277 * [backup-simplify]: Simplify (* 1 1) into 1 2.277 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.277 * [backup-simplify]: Simplify 1/2 into 1/2 2.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.279 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.290 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (- N)) 2)) into (/ 1/2 (pow N 2)) 2.292 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.292 * [backup-simplify]: Simplify (/ 1/3 (* N (* N N))) into (/ 1/3 (pow N 3)) 2.292 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 2.292 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 2.292 * [taylor]: Taking taylor expansion of 1/3 in N 2.292 * [backup-simplify]: Simplify 1/3 into 1/3 2.292 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.292 * [taylor]: Taking taylor expansion of N in N 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (* 1 1) into 1 2.293 * [backup-simplify]: Simplify (* 1 1) into 1 2.293 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.293 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 2.293 * [taylor]: Taking taylor expansion of 1/3 in N 2.293 * [backup-simplify]: Simplify 1/3 into 1/3 2.293 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.293 * [taylor]: Taking taylor expansion of N in N 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (* 1 1) into 1 2.294 * [backup-simplify]: Simplify (* 1 1) into 1 2.294 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.294 * [backup-simplify]: Simplify 1/3 into 1/3 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 2.295 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 2.306 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 N) (* (/ 1 N) (/ 1 N)))) into (* 1/3 (pow N 3)) 2.306 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0 2.306 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.306 * [taylor]: Taking taylor expansion of 1/3 in N 2.306 * [backup-simplify]: Simplify 1/3 into 1/3 2.306 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.306 * [taylor]: Taking taylor expansion of N in N 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.306 * [taylor]: Taking taylor expansion of 1/3 in N 2.306 * [backup-simplify]: Simplify 1/3 into 1/3 2.306 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.306 * [taylor]: Taking taylor expansion of N in N 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [backup-simplify]: Simplify (* 1 1) into 1 2.306 * [backup-simplify]: Simplify (* 1 1) into 1 2.307 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.307 * [backup-simplify]: Simplify 1/3 into 1/3 2.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.308 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.310 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.311 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.314 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.316 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.316 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.319 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 2.320 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))) into (* -1/3 (pow N 3)) 2.320 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0 2.320 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 2.320 * [taylor]: Taking taylor expansion of -1/3 in N 2.320 * [backup-simplify]: Simplify -1/3 into -1/3 2.320 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.320 * [taylor]: Taking taylor expansion of N in N 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 1 into 1 2.320 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 2.320 * [taylor]: Taking taylor expansion of -1/3 in N 2.320 * [backup-simplify]: Simplify -1/3 into -1/3 2.320 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.320 * [taylor]: Taking taylor expansion of N in N 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 1 into 1 2.320 * [backup-simplify]: Simplify (* 1 1) into 1 2.321 * [backup-simplify]: Simplify (* 1 1) into 1 2.321 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 2.321 * [backup-simplify]: Simplify -1/3 into -1/3 2.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.323 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 2.323 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.326 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.326 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.329 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.333 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.333 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.338 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.343 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.343 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (- N)) 3)) into (/ 1/3 (pow N 3)) 2.343 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.343 * [backup-simplify]: Simplify (* N (* N N)) into (pow N 3) 2.343 * [approximate]: Taking taylor expansion of (pow N 3) in (N) around 0 2.343 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.343 * [taylor]: Taking taylor expansion of N in N 2.343 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify 1 into 1 2.343 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.343 * [taylor]: Taking taylor expansion of N in N 2.343 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify 1 into 1 2.344 * [backup-simplify]: Simplify (* 1 1) into 1 2.344 * [backup-simplify]: Simplify (* 1 1) into 1 2.344 * [backup-simplify]: Simplify 1 into 1 2.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.348 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.350 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.352 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.355 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify (* 1 (pow N 3)) into (pow N 3) 2.358 * [backup-simplify]: Simplify (* (/ 1 N) (* (/ 1 N) (/ 1 N))) into (/ 1 (pow N 3)) 2.358 * [approximate]: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.358 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.358 * [taylor]: Taking taylor expansion of N in N 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify 1 into 1 2.359 * [backup-simplify]: Simplify (* 1 1) into 1 2.359 * [backup-simplify]: Simplify (* 1 1) into 1 2.359 * [backup-simplify]: Simplify (/ 1 1) into 1 2.359 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.359 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.359 * [taylor]: Taking taylor expansion of N in N 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.360 * [backup-simplify]: Simplify (* 1 1) into 1 2.360 * [backup-simplify]: Simplify (* 1 1) into 1 2.360 * [backup-simplify]: Simplify (/ 1 1) into 1 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 N)) 3)) into (pow N 3) 2.372 * [backup-simplify]: Simplify (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))) into (/ -1 (pow N 3)) 2.372 * [approximate]: Taking taylor expansion of (/ -1 (pow N 3)) in (N) around 0 2.372 * [taylor]: Taking taylor expansion of (/ -1 (pow N 3)) in N 2.372 * [taylor]: Taking taylor expansion of -1 in N 2.372 * [backup-simplify]: Simplify -1 into -1 2.372 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.372 * [taylor]: Taking taylor expansion of N in N 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.372 * [backup-simplify]: Simplify (* 1 1) into 1 2.372 * [backup-simplify]: Simplify (* 1 1) into 1 2.372 * [backup-simplify]: Simplify (/ -1 1) into -1 2.372 * [taylor]: Taking taylor expansion of (/ -1 (pow N 3)) in N 2.372 * [taylor]: Taking taylor expansion of -1 in N 2.373 * [backup-simplify]: Simplify -1 into -1 2.373 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.373 * [taylor]: Taking taylor expansion of N in N 2.373 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify 1 into 1 2.373 * [backup-simplify]: Simplify (* 1 1) into 1 2.373 * [backup-simplify]: Simplify (* 1 1) into 1 2.373 * [backup-simplify]: Simplify (/ -1 1) into -1 2.373 * [backup-simplify]: Simplify -1 into -1 2.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.382 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.384 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- N))) 3)) into (pow N 3) 2.387 * * * [progress]: simplifying candidates 2.387 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 2.388 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 2.388 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 2.388 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 2.388 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 2.388 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 2.388 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 2.388 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 2.388 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 2.388 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 2.388 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 2.388 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 2.388 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 2.388 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 2.388 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 2.389 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 2.389 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 2.389 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 2.389 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 2.389 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 2.389 * * * * [progress]: [ 21 / 105 ] simplifiying candidate #real (real->posit16 (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))))))> 2.389 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 2.389 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 2.389 * * * * [progress]: [ 24 / 105 ] simplifiying candidate # 2.389 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 2.389 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 2.389 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 2.389 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 2.389 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 2.389 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 2.389 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 2.390 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 2.390 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 2.390 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 2.390 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 2.390 * * * * [progress]: [ 36 / 105 ] simplifiying candidate # 2.390 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 2.390 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 2.390 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 2.390 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 2.390 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 2.390 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 2.390 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 2.390 * * * * [progress]: [ 44 / 105 ] simplifiying candidate #real (real->posit16 (/ 1/2 (* N N)))))))> 2.390 * * * * [progress]: [ 45 / 105 ] simplifiying candidate # 2.390 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 2.390 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 2.391 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 2.391 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 2.391 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 2.391 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 2.391 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 2.391 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 2.391 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 2.391 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 2.391 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 2.391 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 2.391 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 2.391 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 2.391 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 2.391 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 2.391 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 2.391 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 2.392 * * * * [progress]: [ 64 / 105 ] simplifiying candidate # 2.392 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 2.392 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 2.392 * * * * [progress]: [ 67 / 105 ] simplifiying candidate # 2.392 * * * * [progress]: [ 68 / 105 ] simplifiying candidate #real (real->posit16 (/ 1/3 (* N (* N N))))) (- (/ 1 N) (/ 1/2 (* N N)))))> 2.392 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 2.392 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 2.392 * * * * [progress]: [ 71 / 105 ] simplifiying candidate # 2.392 * * * * [progress]: [ 72 / 105 ] simplifiying candidate # 2.392 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 2.392 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 2.392 * * * * [progress]: [ 75 / 105 ] simplifiying candidate # 2.392 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 2.392 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 2.392 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 2.392 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 2.392 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 2.393 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 2.393 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 2.393 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 2.393 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 2.393 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 2.393 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 2.393 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 2.393 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 2.393 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 2.393 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 2.393 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 2.393 * * * * [progress]: [ 92 / 105 ] simplifiying candidate #real (real->posit16 (* N (* N N))))) (- (/ 1 N) (/ 1/2 (* N N)))))> 2.393 * * * * [progress]: [ 93 / 105 ] simplifiying candidate # 2.393 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 2.393 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 2.393 * * * * [progress]: [ 96 / 105 ] simplifiying candidate # 2.393 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 2.394 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 2.394 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 2.394 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 2.394 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 2.394 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 2.394 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 2.394 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 2.394 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 2.395 * [simplify]: Simplifying: (* (exp (/ 1/3 (* N (* N N)))) (/ (exp (/ 1 N)) (exp (/ 1/2 (* N N))))) (* (exp (/ 1/3 (* N (* N N)))) (exp (- (/ 1 N) (/ 1/2 (* N N))))) (log (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (exp (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (* (cbrt (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (* (* (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (sqrt (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (sqrt (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (+ (* 1/3 (* N (* N N))) (* (* N (* N N)) (- (* 1 (* N N)) (* N 1/2)))) (* (* N (* N N)) (* N (* N N))) (+ (* 1/3 (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N)))))) (* (* N (* N N)) (- (pow (/ 1 N) 3) (pow (/ 1/2 (* N N)) 3)))) (* (* N (* N N)) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N)))))) (+ (* 1/3 (+ (/ 1 N) (/ 1/2 (* N N)))) (* (* N (* N N)) (- (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))))) (* (* N (* N N)) (+ (/ 1 N) (/ 1/2 (* N N)))) (+ (pow (/ 1/3 (* N (* N N))) 3) (pow (- (/ 1 N) (/ 1/2 (* N N))) 3)) (+ (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))) (- (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (* (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))))) (- (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (- (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ 1/3 (* N (* N N))) (/ 1 N)) (+ (/ 1/3 (* N (* N N))) (/ 1 N)) (+ (/ 1/3 (* N (* N N))) (/ 1 N)) (real->posit16 (+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (- (log 1/2) (+ (log N) (log N))) (- (log 1/2) (log (* N N))) (log (/ 1/2 (* N N))) (exp (/ 1/2 (* N N))) (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) (cbrt (/ 1/2 (* N N))) (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) (- 1/2) (- (* N N)) (/ (* (cbrt 1/2) (cbrt 1/2)) N) (/ (cbrt 1/2) N) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (/ 1 N) (/ 1/2 N) (/ 1 (* N N)) (/ (* N N) 1/2) (/ 1/2 N) (/ (* N N) (cbrt 1/2)) (/ (* N N) (sqrt 1/2)) (/ (* N N) 1/2) (real->posit16 (/ 1/2 (* N N))) (- (log 1/3) (+ (log N) (+ (log N) (log N)))) (- (log 1/3) (+ (log N) (log (* N N)))) (- (log 1/3) (log (* N (* N N)))) (log (/ 1/3 (* N (* N N)))) (exp (/ 1/3 (* N (* N N)))) (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N)))) (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) N) (* (* (* N N) (* N N)) (* N N)))) (/ (* (* 1/3 1/3) 1/3) (* (* (* N (* N N)) (* N (* N N))) (* N (* N N)))) (* (cbrt (/ 1/3 (* N (* N N)))) (cbrt (/ 1/3 (* N (* N N))))) (cbrt (/ 1/3 (* N (* N N)))) (* (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))) (/ 1/3 (* N (* N N)))) (sqrt (/ 1/3 (* N (* N N)))) (sqrt (/ 1/3 (* N (* N N)))) (- 1/3) (- (* N (* N N))) (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ (cbrt 1/3) (* N N)) (/ (sqrt 1/3) N) (/ (sqrt 1/3) (* N N)) (/ 1 N) (/ 1/3 (* N N)) (/ 1 (* N (* N N))) (/ (* N (* N N)) 1/3) (/ 1/3 N) (/ (* N (* N N)) (cbrt 1/3)) (/ (* N (* N N)) (sqrt 1/3)) (/ (* N (* N N)) 1/3) (real->posit16 (/ 1/3 (* N (* N N)))) (+ 1 (+ 1 1)) (+ 1 2) (+ 1 (+ 1 1)) (+ 1 (* 2 1)) (* N (* N N)) (* N (* N N)) (+ (log N) (+ (log N) (log N))) (+ (log N) (log (* N N))) (log (* N (* N N))) (exp (* N (* N N))) (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N))) (* (* (* N N) N) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (* N (* N N))) (cbrt (* N (* N N)))) (cbrt (* N (* N N))) (* (* (* N (* N N)) (* N (* N N))) (* N (* N N))) (sqrt (* N (* N N))) (sqrt (* N (* N N))) (* (sqrt N) N) (* (sqrt N) N) (* N N) (* (cbrt N) (* N N)) (* (sqrt N) (* N N)) (* N (* N N)) (real->posit16 (* N (* N N))) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (/ 1/2 (pow N 2)) (/ 1/2 (pow N 2)) (/ 1/2 (pow N 2)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (pow N 3) (pow N 3) (pow N 3) 2.398 * * [simplify]: iteration 1: (160 enodes) 2.461 * * [simplify]: iteration 2: (708 enodes) 2.779 * * [simplify]: iteration 3: (1800 enodes) 4.226 * * [simplify]: Extracting #0: cost 70 inf + 0 4.228 * * [simplify]: Extracting #1: cost 599 inf + 4 4.235 * * [simplify]: Extracting #2: cost 1480 inf + 16485 4.295 * * [simplify]: Extracting #3: cost 1282 inf + 130847 4.453 * * [simplify]: Extracting #4: cost 333 inf + 451186 4.618 * * [simplify]: Extracting #5: cost 8 inf + 576260 4.792 * * [simplify]: Extracting #6: cost 0 inf + 578033 4.964 * * [simplify]: Extracting #7: cost 0 inf + 577753 5.165 * * [simplify]: Extracting #8: cost 0 inf + 577593 5.357 * [simplify]: Simplified to: (exp (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N)))) (exp (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N)))) (log (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N)))) (exp (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N)))) (* (cbrt (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N)))) (cbrt (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N))))) (cbrt (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N)))) (* (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N))) (* (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N))) (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N))))) (sqrt (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N)))) (sqrt (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N)))) (* (* (* N N) N) (+ 1/3 (* (- N 1/2) N))) (* (* N N) (* (* N N) (* N N))) (+ (+ 1 (* (* (* N N) N) (- (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N)))))) (+ (/ 1/3 (* N N)) (* (/ 1/2 (* N N)) (* 1/3 (+ (/ 1 N) (/ 1/2 (* N N))))))) (* (* (* N N) N) (+ (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (+ (/ 1 N) (/ 1/2 (* N N)))))) (+ (* 1/3 (+ (/ 1 N) (/ 1/2 (* N N)))) (* (* (* N N) N) (- (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))))) (+ (/ (* (* N N) N) N) (/ (* (* N N) N) (/ (* N N) 1/2))) (+ (* (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (- (/ 1 N) (/ 1/2 (* N N)))) (/ 1/27 (* (* (* (* N N) (* N N)) N) (* (* N N) (* N N))))) (- (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (* (/ 1/3 (* (* N N) N)) (- (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/3 (* (* N N) N))))) (- (/ 1/9 (* (* N N) (* (* N N) (* N N)))) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (+ (/ 1/2 (* N N)) (- (/ 1/3 (* (* N N) N)) (/ 1 N))) (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N))) (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N))) (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N))) (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (real->posit16 (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N)))) (log (/ 1/2 (* N N))) (log (/ 1/2 (* N N))) (log (/ 1/2 (* N N))) (exp (/ 1/2 (* N N))) (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))) (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) (cbrt (/ 1/2 (* N N))) (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) -1/2 (* (- N) N) (/ (cbrt 1/2) (/ N (cbrt 1/2))) (/ (cbrt 1/2) N) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (/ 1 N) (/ 1/2 N) (* (/ 1 N) (/ 1 N)) (/ (* N N) 1/2) (/ 1/2 N) (/ (* N N) (cbrt 1/2)) (/ N (/ (sqrt 1/2) N)) (/ (* N N) 1/2) (real->posit16 (/ 1/2 (* N N))) (log (/ 1/3 (* (* N N) N))) (log (/ 1/3 (* (* N N) N))) (log (/ 1/3 (* (* N N) N))) (log (/ 1/3 (* (* N N) N))) (exp (/ 1/3 (* (* N N) N))) (/ 1/27 (* (* (* (* N N) (* N N)) N) (* (* N N) (* N N)))) (/ 1/27 (* (* (* (* N N) (* N N)) N) (* (* N N) (* N N)))) (/ 1/27 (* (* (* (* N N) (* N N)) N) (* (* N N) (* N N)))) (* (cbrt (/ 1/3 (* (* N N) N))) (cbrt (/ 1/3 (* (* N N) N)))) (cbrt (/ 1/3 (* (* N N) N))) (/ 1/27 (* (* (* (* N N) (* N N)) N) (* (* N N) (* N N)))) (sqrt (/ 1/3 (* (* N N) N))) (sqrt (/ 1/3 (* (* N N) N))) -1/3 (* (- N) (* N N)) (/ (cbrt 1/3) (/ N (cbrt 1/3))) (/ (cbrt 1/3) (* N N)) (/ (sqrt 1/3) N) (/ (sqrt 1/3) (* N N)) (/ 1 N) (/ 1/3 (* N N)) (/ (* (/ 1 N) (/ 1 N)) N) (/ (* (* N N) N) 1/3) (/ 1/3 N) (/ N (/ (cbrt 1/3) (* N N))) (/ (* (* N N) N) (sqrt 1/3)) (/ (* (* N N) N) 1/3) (real->posit16 (/ 1/3 (* (* N N) N))) 3 3 3 3 (* (* N N) N) (* (* N N) N) (* 3 (log N)) (* 3 (log N)) (* 3 (log N)) (exp (* (* N N) N)) (* (* (* (* N N) (* N N)) N) (* (* N N) (* N N))) (* (* (* (* N N) (* N N)) N) (* (* N N) (* N N))) (* N N) N (* (* (* (* N N) (* N N)) N) (* (* N N) (* N N))) (sqrt (* (* N N) N)) (sqrt (* (* N N) N)) (* (sqrt N) N) (* (sqrt N) N) (* N N) (* N (* N (cbrt N))) (* (sqrt N) (* N N)) (* (* N N) N) (real->posit16 (* (* N N) N)) (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N))) (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N))) (+ (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ -1/2 (* N N))) (/ 1/2 (* N N)) (/ 1/2 (* N N)) (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N)) (* (* N N) N) (* (* N N) N) (* (* N N) N) 5.364 * * * [progress]: adding candidates to table 6.210 * * [progress]: iteration 3 / 4 6.210 * * * [progress]: picking best candidate 6.223 * * * * [pick]: Picked # 6.223 * * * [progress]: localizing error 6.240 * * * [progress]: generating rewritten candidates 6.240 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.247 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.275 * * * [progress]: generating series expansions 6.275 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.275 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 6.275 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 6.275 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.275 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.275 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.276 * [taylor]: Taking taylor expansion of N in N 6.276 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify 1 into 1 6.276 * [taylor]: Taking taylor expansion of 1 in N 6.276 * [backup-simplify]: Simplify 1 into 1 6.276 * [taylor]: Taking taylor expansion of N in N 6.276 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify 1 into 1 6.276 * [backup-simplify]: Simplify (+ 0 1) into 1 6.277 * [backup-simplify]: Simplify (/ 1 1) into 1 6.277 * [backup-simplify]: Simplify (log 1) into 0 6.277 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.277 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.277 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.277 * [taylor]: Taking taylor expansion of N in N 6.277 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify 1 into 1 6.277 * [taylor]: Taking taylor expansion of 1 in N 6.277 * [backup-simplify]: Simplify 1 into 1 6.278 * [taylor]: Taking taylor expansion of N in N 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify 1 into 1 6.278 * [backup-simplify]: Simplify (+ 0 1) into 1 6.278 * [backup-simplify]: Simplify (/ 1 1) into 1 6.279 * [backup-simplify]: Simplify (log 1) into 0 6.279 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.279 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 6.280 * [backup-simplify]: Simplify (+ 1 0) into 1 6.281 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.283 * [backup-simplify]: Simplify 1 into 1 6.283 * [backup-simplify]: Simplify (+ 0 0) into 0 6.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.287 * [backup-simplify]: Simplify -1/2 into -1/2 6.287 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 6.287 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 6.287 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 6.287 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.287 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.287 * [taylor]: Taking taylor expansion of N in N 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify 1 into 1 6.288 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.288 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.288 * [taylor]: Taking taylor expansion of N in N 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify 1 into 1 6.288 * [backup-simplify]: Simplify (/ 1 1) into 1 6.288 * [taylor]: Taking taylor expansion of 1 in N 6.288 * [backup-simplify]: Simplify 1 into 1 6.289 * [backup-simplify]: Simplify (+ 1 0) into 1 6.289 * [backup-simplify]: Simplify (* 0 1) into 0 6.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.290 * [backup-simplify]: Simplify (+ 0 1) into 1 6.291 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.291 * [backup-simplify]: Simplify (log 1) into 0 6.291 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.292 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.292 * [taylor]: Taking taylor expansion of N in N 6.292 * [backup-simplify]: Simplify 0 into 0 6.292 * [backup-simplify]: Simplify 1 into 1 6.292 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.292 * [taylor]: Taking taylor expansion of N in N 6.292 * [backup-simplify]: Simplify 0 into 0 6.292 * [backup-simplify]: Simplify 1 into 1 6.292 * [backup-simplify]: Simplify (/ 1 1) into 1 6.292 * [taylor]: Taking taylor expansion of 1 in N 6.292 * [backup-simplify]: Simplify 1 into 1 6.293 * [backup-simplify]: Simplify (+ 1 0) into 1 6.293 * [backup-simplify]: Simplify (* 0 1) into 0 6.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.294 * [backup-simplify]: Simplify (+ 0 1) into 1 6.295 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.296 * [backup-simplify]: Simplify (log 1) into 0 6.296 * [backup-simplify]: Simplify 0 into 0 6.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.297 * [backup-simplify]: Simplify (+ 0 0) into 0 6.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.299 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.299 * [backup-simplify]: Simplify 1 into 1 6.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.301 * [backup-simplify]: Simplify (+ 0 0) into 0 6.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.305 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.305 * [backup-simplify]: Simplify -1/2 into -1/2 6.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.306 * [backup-simplify]: Simplify (+ 0 0) into 0 6.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 6.318 * [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 6.318 * [backup-simplify]: Simplify 1/3 into 1/3 6.319 * [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)))) 6.319 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 6.319 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 6.319 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 6.319 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.319 * [taylor]: Taking taylor expansion of -1 in N 6.319 * [backup-simplify]: Simplify -1 into -1 6.319 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.319 * [taylor]: Taking taylor expansion of N in N 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify 1 into 1 6.319 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.319 * [taylor]: Taking taylor expansion of 1 in N 6.319 * [backup-simplify]: Simplify 1 into 1 6.319 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.319 * [taylor]: Taking taylor expansion of N in N 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify 1 into 1 6.320 * [backup-simplify]: Simplify (/ 1 1) into 1 6.320 * [backup-simplify]: Simplify (- 1) into -1 6.321 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.321 * [backup-simplify]: Simplify (* 0 -1) into 0 6.322 * [backup-simplify]: Simplify (* -1 0) into 0 6.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.323 * [backup-simplify]: Simplify (- 0) into 0 6.323 * [backup-simplify]: Simplify (+ 1 0) into 1 6.324 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.325 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.325 * [backup-simplify]: Simplify (log 1) into 0 6.325 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 6.325 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.325 * [taylor]: Taking taylor expansion of -1 in N 6.325 * [backup-simplify]: Simplify -1 into -1 6.325 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.325 * [taylor]: Taking taylor expansion of N in N 6.325 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify 1 into 1 6.325 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.325 * [taylor]: Taking taylor expansion of 1 in N 6.325 * [backup-simplify]: Simplify 1 into 1 6.325 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.325 * [taylor]: Taking taylor expansion of N in N 6.325 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify 1 into 1 6.326 * [backup-simplify]: Simplify (/ 1 1) into 1 6.326 * [backup-simplify]: Simplify (- 1) into -1 6.326 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.327 * [backup-simplify]: Simplify (* 0 -1) into 0 6.327 * [backup-simplify]: Simplify (* -1 0) into 0 6.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.328 * [backup-simplify]: Simplify (- 0) into 0 6.329 * [backup-simplify]: Simplify (+ 1 0) into 1 6.330 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.330 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.331 * [backup-simplify]: Simplify (log 1) into 0 6.331 * [backup-simplify]: Simplify 0 into 0 6.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.332 * [backup-simplify]: Simplify (- 0) into 0 6.333 * [backup-simplify]: Simplify (+ 0 0) into 0 6.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.335 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 6.336 * [backup-simplify]: Simplify -1 into -1 6.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.337 * [backup-simplify]: Simplify (- 0) into 0 6.338 * [backup-simplify]: Simplify (+ 0 0) into 0 6.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.340 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 6.343 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.343 * [backup-simplify]: Simplify -1/2 into -1/2 6.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.345 * [backup-simplify]: Simplify (- 0) into 0 6.346 * [backup-simplify]: Simplify (+ 0 0) into 0 6.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 6.349 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 6.355 * [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 6.355 * [backup-simplify]: Simplify -1/3 into -1/3 6.356 * [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)))) 6.356 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.356 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 6.356 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 6.356 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.356 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.356 * [taylor]: Taking taylor expansion of N in N 6.356 * [backup-simplify]: Simplify 0 into 0 6.356 * [backup-simplify]: Simplify 1 into 1 6.356 * [taylor]: Taking taylor expansion of 1 in N 6.356 * [backup-simplify]: Simplify 1 into 1 6.356 * [taylor]: Taking taylor expansion of N in N 6.356 * [backup-simplify]: Simplify 0 into 0 6.356 * [backup-simplify]: Simplify 1 into 1 6.357 * [backup-simplify]: Simplify (+ 0 1) into 1 6.357 * [backup-simplify]: Simplify (/ 1 1) into 1 6.357 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.357 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.357 * [taylor]: Taking taylor expansion of N in N 6.357 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify 1 into 1 6.357 * [taylor]: Taking taylor expansion of 1 in N 6.357 * [backup-simplify]: Simplify 1 into 1 6.357 * [taylor]: Taking taylor expansion of N in N 6.357 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify 1 into 1 6.358 * [backup-simplify]: Simplify (+ 0 1) into 1 6.358 * [backup-simplify]: Simplify (/ 1 1) into 1 6.358 * [backup-simplify]: Simplify 1 into 1 6.359 * [backup-simplify]: Simplify (+ 1 0) into 1 6.359 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.360 * [backup-simplify]: Simplify 1 into 1 6.360 * [backup-simplify]: Simplify (+ 0 0) into 0 6.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify (+ 0 0) into 0 6.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.362 * [backup-simplify]: Simplify 0 into 0 6.362 * [backup-simplify]: Simplify (+ 0 0) into 0 6.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.363 * [backup-simplify]: Simplify 0 into 0 6.363 * [backup-simplify]: Simplify (+ 0 0) into 0 6.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.364 * [backup-simplify]: Simplify 0 into 0 6.364 * [backup-simplify]: Simplify (+ 0 0) into 0 6.365 * [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 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify (+ 0 0) into 0 6.365 * [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 6.366 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 6.366 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 6.366 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 6.366 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.366 * [taylor]: Taking taylor expansion of N in N 6.366 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify 1 into 1 6.366 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.366 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.366 * [taylor]: Taking taylor expansion of N in N 6.366 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify 1 into 1 6.366 * [backup-simplify]: Simplify (/ 1 1) into 1 6.366 * [taylor]: Taking taylor expansion of 1 in N 6.366 * [backup-simplify]: Simplify 1 into 1 6.366 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.366 * [taylor]: Taking taylor expansion of N in N 6.366 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify 1 into 1 6.366 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.366 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.366 * [taylor]: Taking taylor expansion of N in N 6.366 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify 1 into 1 6.367 * [backup-simplify]: Simplify (/ 1 1) into 1 6.367 * [taylor]: Taking taylor expansion of 1 in N 6.367 * [backup-simplify]: Simplify 1 into 1 6.367 * [backup-simplify]: Simplify (+ 1 0) into 1 6.367 * [backup-simplify]: Simplify (* 0 1) into 0 6.367 * [backup-simplify]: Simplify 0 into 0 6.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.368 * [backup-simplify]: Simplify (+ 0 1) into 1 6.368 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.368 * [backup-simplify]: Simplify 1 into 1 6.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.369 * [backup-simplify]: Simplify (+ 0 0) into 0 6.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.370 * [backup-simplify]: Simplify 1 into 1 6.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.370 * [backup-simplify]: Simplify (+ 0 0) into 0 6.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.371 * [backup-simplify]: Simplify 0 into 0 6.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.372 * [backup-simplify]: Simplify (+ 0 0) into 0 6.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 6.373 * [backup-simplify]: Simplify 0 into 0 6.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.373 * [backup-simplify]: Simplify (+ 0 0) into 0 6.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 6.374 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.375 * [backup-simplify]: Simplify (+ 0 0) into 0 6.376 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 6.376 * [backup-simplify]: Simplify 0 into 0 6.377 * [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 6.377 * [backup-simplify]: Simplify (+ 0 0) into 0 6.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 6.378 * [backup-simplify]: Simplify 0 into 0 6.378 * [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 6.379 * [backup-simplify]: Simplify (+ 0 0) into 0 6.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 6.380 * [backup-simplify]: Simplify 0 into 0 6.380 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 6.380 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 6.380 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 6.380 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.380 * [taylor]: Taking taylor expansion of -1 in N 6.380 * [backup-simplify]: Simplify -1 into -1 6.380 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.380 * [taylor]: Taking taylor expansion of N in N 6.380 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify 1 into 1 6.381 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.381 * [taylor]: Taking taylor expansion of 1 in N 6.381 * [backup-simplify]: Simplify 1 into 1 6.381 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.381 * [taylor]: Taking taylor expansion of N in N 6.381 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify 1 into 1 6.381 * [backup-simplify]: Simplify (/ 1 1) into 1 6.381 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.381 * [taylor]: Taking taylor expansion of -1 in N 6.381 * [backup-simplify]: Simplify -1 into -1 6.381 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.381 * [taylor]: Taking taylor expansion of N in N 6.381 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify 1 into 1 6.381 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.381 * [taylor]: Taking taylor expansion of 1 in N 6.381 * [backup-simplify]: Simplify 1 into 1 6.381 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.381 * [taylor]: Taking taylor expansion of N in N 6.381 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify 1 into 1 6.381 * [backup-simplify]: Simplify (/ 1 1) into 1 6.382 * [backup-simplify]: Simplify (- 1) into -1 6.382 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.382 * [backup-simplify]: Simplify (* 0 -1) into 0 6.383 * [backup-simplify]: Simplify (* -1 0) into 0 6.383 * [backup-simplify]: Simplify 0 into 0 6.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.383 * [backup-simplify]: Simplify (- 0) into 0 6.384 * [backup-simplify]: Simplify (+ 1 0) into 1 6.384 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.384 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.384 * [backup-simplify]: Simplify 1 into 1 6.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.385 * [backup-simplify]: Simplify (- 0) into 0 6.385 * [backup-simplify]: Simplify (+ 0 0) into 0 6.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.387 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.387 * [backup-simplify]: Simplify -1 into -1 6.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.388 * [backup-simplify]: Simplify (- 0) into 0 6.388 * [backup-simplify]: Simplify (+ 0 0) into 0 6.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.389 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 6.389 * [backup-simplify]: Simplify 0 into 0 6.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.390 * [backup-simplify]: Simplify (- 0) into 0 6.390 * [backup-simplify]: Simplify (+ 0 0) into 0 6.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 6.392 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 6.392 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.393 * [backup-simplify]: Simplify (- 0) into 0 6.393 * [backup-simplify]: Simplify (+ 0 0) into 0 6.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 6.396 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 6.396 * [backup-simplify]: Simplify 0 into 0 6.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.397 * [backup-simplify]: Simplify (- 0) into 0 6.398 * [backup-simplify]: Simplify (+ 0 0) into 0 6.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 6.401 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 6.401 * [backup-simplify]: Simplify 0 into 0 6.402 * [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 6.403 * [backup-simplify]: Simplify (- 0) into 0 6.403 * [backup-simplify]: Simplify (+ 0 0) into 0 6.405 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 6.407 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 6.407 * [backup-simplify]: Simplify 0 into 0 6.409 * [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 6.409 * [backup-simplify]: Simplify (- 0) into 0 6.409 * [backup-simplify]: Simplify (+ 0 0) into 0 6.412 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 6.414 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 6.414 * [backup-simplify]: Simplify 0 into 0 6.414 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 6.414 * * * [progress]: simplifying candidates 6.414 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 6.414 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 6.414 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 6.415 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 6.416 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 6.416 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 6.416 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 6.416 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 6.416 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 6.416 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 6.416 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 6.416 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 6.416 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 6.416 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 6.416 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 6.416 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 6.416 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 6.416 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 6.416 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 6.416 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 6.416 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 6.417 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 6.418 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 6.418 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 6.418 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 6.418 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 6.418 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 6.418 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 6.418 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 6.418 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 6.418 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 6.418 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 6.418 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 6.418 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 6.418 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 6.418 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 6.419 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log 1) (log (/ (+ N 1) N)) (log (+ N 1)) (log (/ 1 N)) (log (+ N 1)) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (exp (log (/ (+ N 1) N))) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (- (log (+ N 1)) (log N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (/ (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (- (+ N 1)) (- N) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ N 1)) (sqrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1) (/ (cbrt (+ N 1)) N) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) 1) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (/ (+ N 1) 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (* N (+ (* N N) (- (* 1 1) (* N 1)))) (* N (- N 1)) (real->posit16 (/ (+ N 1) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 6.421 * * [simplify]: iteration 1: (102 enodes) 6.449 * * [simplify]: iteration 2: (402 enodes) 6.536 * * [simplify]: iteration 3: (734 enodes) 6.762 * * [simplify]: iteration 4: (1521 enodes) 7.645 * * [simplify]: Extracting #0: cost 65 inf + 0 7.645 * * [simplify]: Extracting #1: cost 341 inf + 2 7.648 * * [simplify]: Extracting #2: cost 758 inf + 2304 7.658 * * [simplify]: Extracting #3: cost 594 inf + 45006 7.710 * * [simplify]: Extracting #4: cost 209 inf + 136866 7.763 * * [simplify]: Extracting #5: cost 23 inf + 206019 7.808 * * [simplify]: Extracting #6: cost 0 inf + 214119 7.866 * [simplify]: Simplified to: (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (+ (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (- (- (log (cbrt N))) (log (cbrt N))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (- (- (log (cbrt N))) (log (cbrt N))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log (+ 1 N)) (- (log N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 1 N) N) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (/ (+ 1 N) N) (* (/ (+ 1 N) N) (/ (+ 1 N) N))) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- -1 N) (- N) (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (+ N (* (- (* N N) N) N)) (- (* N N) N) (real->posit16 (/ (+ 1 N) N)) (+ (- N (log N)) (* N (* N -1/2))) (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N))))) (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N))))) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) 7.872 * * * [progress]: adding candidates to table 8.332 * * [progress]: iteration 4 / 4 8.332 * * * [progress]: picking best candidate 8.342 * * * * [pick]: Picked # 8.342 * * * [progress]: localizing error 8.356 * * * [progress]: generating rewritten candidates 8.356 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.360 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.364 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 8.369 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 8.376 * * * [progress]: generating series expansions 8.376 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.376 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1) N))) into (log (sqrt (/ (+ N 1) N))) 8.376 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 8.376 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 8.377 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 8.377 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.377 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.377 * [taylor]: Taking taylor expansion of N in N 8.377 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify 1 into 1 8.377 * [taylor]: Taking taylor expansion of 1 in N 8.377 * [backup-simplify]: Simplify 1 into 1 8.377 * [taylor]: Taking taylor expansion of N in N 8.377 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify 1 into 1 8.377 * [backup-simplify]: Simplify (+ 0 1) into 1 8.377 * [backup-simplify]: Simplify (/ 1 1) into 1 8.378 * [backup-simplify]: Simplify (sqrt 0) into 0 8.379 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.379 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.379 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 8.379 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 8.379 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.379 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.379 * [taylor]: Taking taylor expansion of N in N 8.379 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify 1 into 1 8.379 * [taylor]: Taking taylor expansion of 1 in N 8.379 * [backup-simplify]: Simplify 1 into 1 8.379 * [taylor]: Taking taylor expansion of N in N 8.379 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify 1 into 1 8.379 * [backup-simplify]: Simplify (+ 0 1) into 1 8.380 * [backup-simplify]: Simplify (/ 1 1) into 1 8.380 * [backup-simplify]: Simplify (sqrt 0) into 0 8.381 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.381 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.381 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.382 * [backup-simplify]: Simplify (+ 1 0) into 1 8.382 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.384 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.388 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.388 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.388 * [backup-simplify]: Simplify (+ 0 0) into 0 8.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.404 * [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 8.405 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.405 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 8.405 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 8.405 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 8.405 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 8.405 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 8.405 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.405 * [taylor]: Taking taylor expansion of N in N 8.405 * [backup-simplify]: Simplify 0 into 0 8.406 * [backup-simplify]: Simplify 1 into 1 8.406 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.406 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.406 * [taylor]: Taking taylor expansion of N in N 8.406 * [backup-simplify]: Simplify 0 into 0 8.406 * [backup-simplify]: Simplify 1 into 1 8.406 * [backup-simplify]: Simplify (/ 1 1) into 1 8.406 * [taylor]: Taking taylor expansion of 1 in N 8.406 * [backup-simplify]: Simplify 1 into 1 8.407 * [backup-simplify]: Simplify (+ 1 0) into 1 8.407 * [backup-simplify]: Simplify (* 0 1) into 0 8.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.408 * [backup-simplify]: Simplify (+ 0 1) into 1 8.409 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.409 * [backup-simplify]: Simplify (sqrt 1) into 1 8.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.411 * [backup-simplify]: Simplify (+ 0 0) into 0 8.412 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.412 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.413 * [backup-simplify]: Simplify (log 1) into 0 8.413 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 8.413 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 8.413 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.413 * [taylor]: Taking taylor expansion of N in N 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 1 into 1 8.413 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.413 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.413 * [taylor]: Taking taylor expansion of N in N 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 1 into 1 8.413 * [backup-simplify]: Simplify (/ 1 1) into 1 8.413 * [taylor]: Taking taylor expansion of 1 in N 8.413 * [backup-simplify]: Simplify 1 into 1 8.414 * [backup-simplify]: Simplify (+ 1 0) into 1 8.414 * [backup-simplify]: Simplify (* 0 1) into 0 8.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.415 * [backup-simplify]: Simplify (+ 0 1) into 1 8.416 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.416 * [backup-simplify]: Simplify (sqrt 1) into 1 8.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.418 * [backup-simplify]: Simplify (+ 0 0) into 0 8.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.419 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.420 * [backup-simplify]: Simplify (log 1) into 0 8.420 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 8.421 * [backup-simplify]: Simplify 1/2 into 1/2 8.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.423 * [backup-simplify]: Simplify (+ 0 0) into 0 8.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 8.425 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 8.428 * [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 8.428 * [backup-simplify]: Simplify -1/4 into -1/4 8.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.430 * [backup-simplify]: Simplify (+ 0 0) into 0 8.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 8.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 8.438 * [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 8.438 * [backup-simplify]: Simplify 1/6 into 1/6 8.439 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 8.439 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 8.439 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 8.439 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 8.439 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 8.439 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.439 * [taylor]: Taking taylor expansion of -1 in N 8.439 * [backup-simplify]: Simplify -1 into -1 8.439 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.439 * [taylor]: Taking taylor expansion of N in N 8.439 * [backup-simplify]: Simplify 0 into 0 8.439 * [backup-simplify]: Simplify 1 into 1 8.439 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.439 * [taylor]: Taking taylor expansion of 1 in N 8.439 * [backup-simplify]: Simplify 1 into 1 8.439 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.439 * [taylor]: Taking taylor expansion of N in N 8.439 * [backup-simplify]: Simplify 0 into 0 8.439 * [backup-simplify]: Simplify 1 into 1 8.440 * [backup-simplify]: Simplify (/ 1 1) into 1 8.440 * [backup-simplify]: Simplify (- 1) into -1 8.440 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.441 * [backup-simplify]: Simplify (* 0 -1) into 0 8.441 * [backup-simplify]: Simplify (* -1 0) into 0 8.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.443 * [backup-simplify]: Simplify (- 0) into 0 8.443 * [backup-simplify]: Simplify (+ 1 0) into 1 8.444 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.445 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.445 * [backup-simplify]: Simplify (sqrt 1) into 1 8.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.446 * [backup-simplify]: Simplify (- 0) into 0 8.447 * [backup-simplify]: Simplify (+ 0 0) into 0 8.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.449 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.449 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 8.450 * [backup-simplify]: Simplify (log 1) into 0 8.450 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 8.450 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 8.450 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.450 * [taylor]: Taking taylor expansion of -1 in N 8.450 * [backup-simplify]: Simplify -1 into -1 8.450 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.450 * [taylor]: Taking taylor expansion of N in N 8.450 * [backup-simplify]: Simplify 0 into 0 8.450 * [backup-simplify]: Simplify 1 into 1 8.450 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.450 * [taylor]: Taking taylor expansion of 1 in N 8.450 * [backup-simplify]: Simplify 1 into 1 8.450 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.450 * [taylor]: Taking taylor expansion of N in N 8.450 * [backup-simplify]: Simplify 0 into 0 8.450 * [backup-simplify]: Simplify 1 into 1 8.450 * [backup-simplify]: Simplify (/ 1 1) into 1 8.451 * [backup-simplify]: Simplify (- 1) into -1 8.451 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.452 * [backup-simplify]: Simplify (* 0 -1) into 0 8.452 * [backup-simplify]: Simplify (* -1 0) into 0 8.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.453 * [backup-simplify]: Simplify (- 0) into 0 8.454 * [backup-simplify]: Simplify (+ 1 0) into 1 8.454 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.455 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.455 * [backup-simplify]: Simplify (sqrt 1) into 1 8.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.456 * [backup-simplify]: Simplify (- 0) into 0 8.457 * [backup-simplify]: Simplify (+ 0 0) into 0 8.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.459 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.459 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 8.460 * [backup-simplify]: Simplify (log 1) into 0 8.460 * [backup-simplify]: Simplify 0 into 0 8.461 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 8.461 * [backup-simplify]: Simplify -1/2 into -1/2 8.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.462 * [backup-simplify]: Simplify (- 0) into 0 8.463 * [backup-simplify]: Simplify (+ 0 0) into 0 8.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 8.465 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 8.466 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 8.470 * [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 8.470 * [backup-simplify]: Simplify -1/4 into -1/4 8.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.471 * [backup-simplify]: Simplify (- 0) into 0 8.472 * [backup-simplify]: Simplify (+ 0 0) into 0 8.474 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 8.475 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 8.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 8.483 * [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 8.483 * [backup-simplify]: Simplify -1/6 into -1/6 8.484 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 8.484 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.484 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1) N))) into (log (sqrt (/ (+ N 1) N))) 8.484 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 8.484 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 8.484 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 8.484 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.484 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.484 * [taylor]: Taking taylor expansion of N in N 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify 1 into 1 8.484 * [taylor]: Taking taylor expansion of 1 in N 8.484 * [backup-simplify]: Simplify 1 into 1 8.484 * [taylor]: Taking taylor expansion of N in N 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify 1 into 1 8.485 * [backup-simplify]: Simplify (+ 0 1) into 1 8.486 * [backup-simplify]: Simplify (/ 1 1) into 1 8.487 * [backup-simplify]: Simplify (sqrt 0) into 0 8.489 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.489 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.489 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 8.489 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 8.490 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.490 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.490 * [taylor]: Taking taylor expansion of N in N 8.490 * [backup-simplify]: Simplify 0 into 0 8.490 * [backup-simplify]: Simplify 1 into 1 8.490 * [taylor]: Taking taylor expansion of 1 in N 8.490 * [backup-simplify]: Simplify 1 into 1 8.490 * [taylor]: Taking taylor expansion of N in N 8.490 * [backup-simplify]: Simplify 0 into 0 8.490 * [backup-simplify]: Simplify 1 into 1 8.490 * [backup-simplify]: Simplify (+ 0 1) into 1 8.491 * [backup-simplify]: Simplify (/ 1 1) into 1 8.491 * [backup-simplify]: Simplify (sqrt 0) into 0 8.493 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.493 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.493 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 8.494 * [backup-simplify]: Simplify (+ 1 0) into 1 8.495 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.498 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 8.502 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.502 * [backup-simplify]: Simplify (+ 0 0) into 0 8.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.513 * [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 8.513 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.514 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 8.514 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 8.514 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 8.514 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 8.514 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 8.514 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.514 * [taylor]: Taking taylor expansion of N in N 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 1 into 1 8.514 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.514 * [taylor]: Taking taylor expansion of N in N 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 1 into 1 8.514 * [backup-simplify]: Simplify (/ 1 1) into 1 8.514 * [taylor]: Taking taylor expansion of 1 in N 8.514 * [backup-simplify]: Simplify 1 into 1 8.514 * [backup-simplify]: Simplify (+ 1 0) into 1 8.515 * [backup-simplify]: Simplify (* 0 1) into 0 8.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.515 * [backup-simplify]: Simplify (+ 0 1) into 1 8.516 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.516 * [backup-simplify]: Simplify (sqrt 1) into 1 8.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.517 * [backup-simplify]: Simplify (+ 0 0) into 0 8.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.518 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.518 * [backup-simplify]: Simplify (log 1) into 0 8.518 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 8.518 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 8.518 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.518 * [taylor]: Taking taylor expansion of N in N 8.518 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify 1 into 1 8.518 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.518 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.518 * [taylor]: Taking taylor expansion of N in N 8.518 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify 1 into 1 8.519 * [backup-simplify]: Simplify (/ 1 1) into 1 8.519 * [taylor]: Taking taylor expansion of 1 in N 8.519 * [backup-simplify]: Simplify 1 into 1 8.519 * [backup-simplify]: Simplify (+ 1 0) into 1 8.519 * [backup-simplify]: Simplify (* 0 1) into 0 8.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.520 * [backup-simplify]: Simplify (+ 0 1) into 1 8.520 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.521 * [backup-simplify]: Simplify (sqrt 1) into 1 8.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.521 * [backup-simplify]: Simplify (+ 0 0) into 0 8.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.522 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.523 * [backup-simplify]: Simplify (log 1) into 0 8.523 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 8.524 * [backup-simplify]: Simplify 1/2 into 1/2 8.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.524 * [backup-simplify]: Simplify (+ 0 0) into 0 8.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 8.526 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 8.527 * [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 8.527 * [backup-simplify]: Simplify -1/4 into -1/4 8.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.528 * [backup-simplify]: Simplify (+ 0 0) into 0 8.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 8.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 8.539 * [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 8.539 * [backup-simplify]: Simplify 1/6 into 1/6 8.539 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 8.540 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 8.540 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 8.540 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 8.540 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 8.540 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.540 * [taylor]: Taking taylor expansion of -1 in N 8.540 * [backup-simplify]: Simplify -1 into -1 8.540 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.540 * [taylor]: Taking taylor expansion of N in N 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 1 into 1 8.540 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.540 * [taylor]: Taking taylor expansion of 1 in N 8.540 * [backup-simplify]: Simplify 1 into 1 8.540 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.540 * [taylor]: Taking taylor expansion of N in N 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 1 into 1 8.541 * [backup-simplify]: Simplify (/ 1 1) into 1 8.541 * [backup-simplify]: Simplify (- 1) into -1 8.542 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.542 * [backup-simplify]: Simplify (* 0 -1) into 0 8.543 * [backup-simplify]: Simplify (* -1 0) into 0 8.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.544 * [backup-simplify]: Simplify (- 0) into 0 8.545 * [backup-simplify]: Simplify (+ 1 0) into 1 8.545 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.546 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.546 * [backup-simplify]: Simplify (sqrt 1) into 1 8.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.548 * [backup-simplify]: Simplify (- 0) into 0 8.548 * [backup-simplify]: Simplify (+ 0 0) into 0 8.549 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.550 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.551 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 8.551 * [backup-simplify]: Simplify (log 1) into 0 8.551 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 8.551 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 8.551 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.551 * [taylor]: Taking taylor expansion of -1 in N 8.552 * [backup-simplify]: Simplify -1 into -1 8.552 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.552 * [taylor]: Taking taylor expansion of N in N 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify 1 into 1 8.552 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.552 * [taylor]: Taking taylor expansion of 1 in N 8.552 * [backup-simplify]: Simplify 1 into 1 8.552 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.552 * [taylor]: Taking taylor expansion of N in N 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify 1 into 1 8.552 * [backup-simplify]: Simplify (/ 1 1) into 1 8.553 * [backup-simplify]: Simplify (- 1) into -1 8.553 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.553 * [backup-simplify]: Simplify (* 0 -1) into 0 8.554 * [backup-simplify]: Simplify (* -1 0) into 0 8.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.555 * [backup-simplify]: Simplify (- 0) into 0 8.555 * [backup-simplify]: Simplify (+ 1 0) into 1 8.556 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.557 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.557 * [backup-simplify]: Simplify (sqrt 1) into 1 8.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.559 * [backup-simplify]: Simplify (- 0) into 0 8.559 * [backup-simplify]: Simplify (+ 0 0) into 0 8.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.561 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.562 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 8.562 * [backup-simplify]: Simplify (log 1) into 0 8.562 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 8.564 * [backup-simplify]: Simplify -1/2 into -1/2 8.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.566 * [backup-simplify]: Simplify (- 0) into 0 8.566 * [backup-simplify]: Simplify (+ 0 0) into 0 8.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 8.568 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 8.568 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 8.570 * [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 8.570 * [backup-simplify]: Simplify -1/4 into -1/4 8.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.571 * [backup-simplify]: Simplify (- 0) into 0 8.571 * [backup-simplify]: Simplify (+ 0 0) into 0 8.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 8.573 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 8.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 8.577 * [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 8.577 * [backup-simplify]: Simplify -1/6 into -1/6 8.577 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 8.577 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 8.577 * [backup-simplify]: Simplify (sqrt (/ (+ N 1) N)) into (sqrt (/ (+ N 1) N)) 8.577 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 8.577 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 8.577 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.577 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.577 * [taylor]: Taking taylor expansion of N in N 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 1 into 1 8.577 * [taylor]: Taking taylor expansion of 1 in N 8.577 * [backup-simplify]: Simplify 1 into 1 8.577 * [taylor]: Taking taylor expansion of N in N 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 1 into 1 8.578 * [backup-simplify]: Simplify (+ 0 1) into 1 8.578 * [backup-simplify]: Simplify (/ 1 1) into 1 8.578 * [backup-simplify]: Simplify (sqrt 0) into 0 8.579 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.579 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 8.579 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.579 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.579 * [taylor]: Taking taylor expansion of N in N 8.579 * [backup-simplify]: Simplify 0 into 0 8.579 * [backup-simplify]: Simplify 1 into 1 8.579 * [taylor]: Taking taylor expansion of 1 in N 8.579 * [backup-simplify]: Simplify 1 into 1 8.579 * [taylor]: Taking taylor expansion of N in N 8.579 * [backup-simplify]: Simplify 0 into 0 8.579 * [backup-simplify]: Simplify 1 into 1 8.580 * [backup-simplify]: Simplify (+ 0 1) into 1 8.580 * [backup-simplify]: Simplify (/ 1 1) into 1 8.580 * [backup-simplify]: Simplify (sqrt 0) into 0 8.581 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.581 * [backup-simplify]: Simplify 0 into 0 8.581 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.581 * [backup-simplify]: Simplify (+ 1 0) into 1 8.582 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.584 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.584 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.584 * [backup-simplify]: Simplify (+ 0 0) into 0 8.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.587 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.587 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 8.587 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 8.587 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 8.587 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 8.587 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.587 * [taylor]: Taking taylor expansion of N in N 8.587 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify 1 into 1 8.587 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.587 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.587 * [taylor]: Taking taylor expansion of N in N 8.587 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify 1 into 1 8.588 * [backup-simplify]: Simplify (/ 1 1) into 1 8.588 * [taylor]: Taking taylor expansion of 1 in N 8.588 * [backup-simplify]: Simplify 1 into 1 8.588 * [backup-simplify]: Simplify (+ 1 0) into 1 8.588 * [backup-simplify]: Simplify (* 0 1) into 0 8.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.589 * [backup-simplify]: Simplify (+ 0 1) into 1 8.589 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.590 * [backup-simplify]: Simplify (sqrt 1) into 1 8.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.591 * [backup-simplify]: Simplify (+ 0 0) into 0 8.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.592 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.592 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 8.592 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.592 * [taylor]: Taking taylor expansion of N in N 8.592 * [backup-simplify]: Simplify 0 into 0 8.592 * [backup-simplify]: Simplify 1 into 1 8.592 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.592 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.592 * [taylor]: Taking taylor expansion of N in N 8.592 * [backup-simplify]: Simplify 0 into 0 8.592 * [backup-simplify]: Simplify 1 into 1 8.593 * [backup-simplify]: Simplify (/ 1 1) into 1 8.593 * [taylor]: Taking taylor expansion of 1 in N 8.593 * [backup-simplify]: Simplify 1 into 1 8.593 * [backup-simplify]: Simplify (+ 1 0) into 1 8.594 * [backup-simplify]: Simplify (* 0 1) into 0 8.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.595 * [backup-simplify]: Simplify (+ 0 1) into 1 8.596 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.596 * [backup-simplify]: Simplify (sqrt 1) into 1 8.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.598 * [backup-simplify]: Simplify (+ 0 0) into 0 8.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.599 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.599 * [backup-simplify]: Simplify 1 into 1 8.599 * [backup-simplify]: Simplify 1/2 into 1/2 8.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.601 * [backup-simplify]: Simplify (+ 0 0) into 0 8.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 8.603 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 8.603 * [backup-simplify]: Simplify -1/8 into -1/8 8.603 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 8.604 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 8.604 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 8.604 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 8.604 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.604 * [taylor]: Taking taylor expansion of -1 in N 8.604 * [backup-simplify]: Simplify -1 into -1 8.604 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.604 * [taylor]: Taking taylor expansion of N in N 8.604 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify 1 into 1 8.604 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.604 * [taylor]: Taking taylor expansion of 1 in N 8.604 * [backup-simplify]: Simplify 1 into 1 8.604 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.604 * [taylor]: Taking taylor expansion of N in N 8.604 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify 1 into 1 8.605 * [backup-simplify]: Simplify (/ 1 1) into 1 8.605 * [backup-simplify]: Simplify (- 1) into -1 8.606 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.606 * [backup-simplify]: Simplify (* 0 -1) into 0 8.607 * [backup-simplify]: Simplify (* -1 0) into 0 8.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.608 * [backup-simplify]: Simplify (- 0) into 0 8.608 * [backup-simplify]: Simplify (+ 1 0) into 1 8.609 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.610 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.610 * [backup-simplify]: Simplify (sqrt 1) into 1 8.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.611 * [backup-simplify]: Simplify (- 0) into 0 8.612 * [backup-simplify]: Simplify (+ 0 0) into 0 8.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.614 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.615 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 8.615 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 8.615 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.615 * [taylor]: Taking taylor expansion of -1 in N 8.615 * [backup-simplify]: Simplify -1 into -1 8.615 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.615 * [taylor]: Taking taylor expansion of N in N 8.615 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify 1 into 1 8.615 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.615 * [taylor]: Taking taylor expansion of 1 in N 8.615 * [backup-simplify]: Simplify 1 into 1 8.615 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.615 * [taylor]: Taking taylor expansion of N in N 8.615 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify 1 into 1 8.616 * [backup-simplify]: Simplify (/ 1 1) into 1 8.616 * [backup-simplify]: Simplify (- 1) into -1 8.616 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.617 * [backup-simplify]: Simplify (* 0 -1) into 0 8.617 * [backup-simplify]: Simplify (* -1 0) into 0 8.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.618 * [backup-simplify]: Simplify (- 0) into 0 8.619 * [backup-simplify]: Simplify (+ 1 0) into 1 8.620 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.620 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.621 * [backup-simplify]: Simplify (sqrt 1) into 1 8.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.622 * [backup-simplify]: Simplify (- 0) into 0 8.622 * [backup-simplify]: Simplify (+ 0 0) into 0 8.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.625 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.625 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 8.625 * [backup-simplify]: Simplify 1 into 1 8.625 * [backup-simplify]: Simplify -1/2 into -1/2 8.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.627 * [backup-simplify]: Simplify (- 0) into 0 8.627 * [backup-simplify]: Simplify (+ 0 0) into 0 8.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 8.630 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 8.631 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 8.631 * [backup-simplify]: Simplify -1/8 into -1/8 8.632 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 8.632 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 8.632 * [backup-simplify]: Simplify (sqrt (/ (+ N 1) N)) into (sqrt (/ (+ N 1) N)) 8.632 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 8.632 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 8.632 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.632 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.632 * [taylor]: Taking taylor expansion of N in N 8.632 * [backup-simplify]: Simplify 0 into 0 8.632 * [backup-simplify]: Simplify 1 into 1 8.632 * [taylor]: Taking taylor expansion of 1 in N 8.632 * [backup-simplify]: Simplify 1 into 1 8.632 * [taylor]: Taking taylor expansion of N in N 8.632 * [backup-simplify]: Simplify 0 into 0 8.632 * [backup-simplify]: Simplify 1 into 1 8.633 * [backup-simplify]: Simplify (+ 0 1) into 1 8.633 * [backup-simplify]: Simplify (/ 1 1) into 1 8.634 * [backup-simplify]: Simplify (sqrt 0) into 0 8.635 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.635 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 8.635 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.635 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.636 * [taylor]: Taking taylor expansion of N in N 8.636 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify 1 into 1 8.636 * [taylor]: Taking taylor expansion of 1 in N 8.636 * [backup-simplify]: Simplify 1 into 1 8.636 * [taylor]: Taking taylor expansion of N in N 8.636 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify 1 into 1 8.636 * [backup-simplify]: Simplify (+ 0 1) into 1 8.637 * [backup-simplify]: Simplify (/ 1 1) into 1 8.637 * [backup-simplify]: Simplify (sqrt 0) into 0 8.638 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.638 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.639 * [backup-simplify]: Simplify (+ 1 0) into 1 8.639 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.641 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.642 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.642 * [backup-simplify]: Simplify (+ 0 0) into 0 8.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.645 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.645 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 8.645 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 8.645 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 8.645 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 8.645 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.645 * [taylor]: Taking taylor expansion of N in N 8.645 * [backup-simplify]: Simplify 0 into 0 8.645 * [backup-simplify]: Simplify 1 into 1 8.645 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.645 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.645 * [taylor]: Taking taylor expansion of N in N 8.645 * [backup-simplify]: Simplify 0 into 0 8.645 * [backup-simplify]: Simplify 1 into 1 8.645 * [backup-simplify]: Simplify (/ 1 1) into 1 8.645 * [taylor]: Taking taylor expansion of 1 in N 8.645 * [backup-simplify]: Simplify 1 into 1 8.646 * [backup-simplify]: Simplify (+ 1 0) into 1 8.646 * [backup-simplify]: Simplify (* 0 1) into 0 8.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.647 * [backup-simplify]: Simplify (+ 0 1) into 1 8.647 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.647 * [backup-simplify]: Simplify (sqrt 1) into 1 8.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.648 * [backup-simplify]: Simplify (+ 0 0) into 0 8.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.649 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.649 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 8.649 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.649 * [taylor]: Taking taylor expansion of N in N 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify 1 into 1 8.649 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.649 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.649 * [taylor]: Taking taylor expansion of N in N 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify 1 into 1 8.649 * [backup-simplify]: Simplify (/ 1 1) into 1 8.649 * [taylor]: Taking taylor expansion of 1 in N 8.650 * [backup-simplify]: Simplify 1 into 1 8.650 * [backup-simplify]: Simplify (+ 1 0) into 1 8.650 * [backup-simplify]: Simplify (* 0 1) into 0 8.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.651 * [backup-simplify]: Simplify (+ 0 1) into 1 8.651 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.651 * [backup-simplify]: Simplify (sqrt 1) into 1 8.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.652 * [backup-simplify]: Simplify (+ 0 0) into 0 8.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.655 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 8.655 * [backup-simplify]: Simplify 1 into 1 8.655 * [backup-simplify]: Simplify 1/2 into 1/2 8.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.656 * [backup-simplify]: Simplify (+ 0 0) into 0 8.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 8.657 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 8.658 * [backup-simplify]: Simplify -1/8 into -1/8 8.658 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 8.658 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 8.658 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 8.658 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 8.658 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.658 * [taylor]: Taking taylor expansion of -1 in N 8.658 * [backup-simplify]: Simplify -1 into -1 8.658 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.658 * [taylor]: Taking taylor expansion of N in N 8.658 * [backup-simplify]: Simplify 0 into 0 8.658 * [backup-simplify]: Simplify 1 into 1 8.658 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.658 * [taylor]: Taking taylor expansion of 1 in N 8.658 * [backup-simplify]: Simplify 1 into 1 8.658 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.658 * [taylor]: Taking taylor expansion of N in N 8.658 * [backup-simplify]: Simplify 0 into 0 8.658 * [backup-simplify]: Simplify 1 into 1 8.658 * [backup-simplify]: Simplify (/ 1 1) into 1 8.659 * [backup-simplify]: Simplify (- 1) into -1 8.659 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.659 * [backup-simplify]: Simplify (* 0 -1) into 0 8.660 * [backup-simplify]: Simplify (* -1 0) into 0 8.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.660 * [backup-simplify]: Simplify (- 0) into 0 8.660 * [backup-simplify]: Simplify (+ 1 0) into 1 8.661 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.661 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.662 * [backup-simplify]: Simplify (sqrt 1) into 1 8.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.662 * [backup-simplify]: Simplify (- 0) into 0 8.663 * [backup-simplify]: Simplify (+ 0 0) into 0 8.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.664 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.664 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 8.664 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 8.664 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.664 * [taylor]: Taking taylor expansion of -1 in N 8.664 * [backup-simplify]: Simplify -1 into -1 8.664 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.664 * [taylor]: Taking taylor expansion of N in N 8.664 * [backup-simplify]: Simplify 0 into 0 8.664 * [backup-simplify]: Simplify 1 into 1 8.664 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.664 * [taylor]: Taking taylor expansion of 1 in N 8.664 * [backup-simplify]: Simplify 1 into 1 8.664 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.664 * [taylor]: Taking taylor expansion of N in N 8.664 * [backup-simplify]: Simplify 0 into 0 8.664 * [backup-simplify]: Simplify 1 into 1 8.665 * [backup-simplify]: Simplify (/ 1 1) into 1 8.665 * [backup-simplify]: Simplify (- 1) into -1 8.665 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.665 * [backup-simplify]: Simplify (* 0 -1) into 0 8.666 * [backup-simplify]: Simplify (* -1 0) into 0 8.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.666 * [backup-simplify]: Simplify (- 0) into 0 8.667 * [backup-simplify]: Simplify (+ 1 0) into 1 8.667 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.667 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.668 * [backup-simplify]: Simplify (sqrt 1) into 1 8.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.669 * [backup-simplify]: Simplify (- 0) into 0 8.669 * [backup-simplify]: Simplify (+ 0 0) into 0 8.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.670 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.670 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 8.670 * [backup-simplify]: Simplify 1 into 1 8.670 * [backup-simplify]: Simplify -1/2 into -1/2 8.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.671 * [backup-simplify]: Simplify (- 0) into 0 8.672 * [backup-simplify]: Simplify (+ 0 0) into 0 8.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 8.673 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 8.674 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 8.674 * [backup-simplify]: Simplify -1/8 into -1/8 8.674 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 8.674 * * * [progress]: simplifying candidates 8.674 * * * * [progress]: [ 1 / 134 ] simplifiying candidate # 8.674 * * * * [progress]: [ 2 / 134 ] simplifiying candidate # 8.674 * * * * [progress]: [ 3 / 134 ] simplifiying candidate # 8.674 * * * * [progress]: [ 4 / 134 ] simplifiying candidate # 8.674 * * * * [progress]: [ 5 / 134 ] simplifiying candidate # 8.674 * * * * [progress]: [ 6 / 134 ] simplifiying candidate # 8.674 * * * * [progress]: [ 7 / 134 ] simplifiying candidate # 8.674 * * * * [progress]: [ 8 / 134 ] simplifiying candidate # 8.674 * * * * [progress]: [ 9 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 10 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 11 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 12 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 13 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 14 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 15 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 16 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 17 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 18 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 19 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 20 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 21 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 22 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 23 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 24 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 25 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 26 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 27 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 28 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 29 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 30 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 31 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 32 / 134 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ (+ N 1) N)))))))> 8.675 * * * * [progress]: [ 33 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 34 / 134 ] simplifiying candidate # 8.675 * * * * [progress]: [ 35 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 36 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 37 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 38 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 39 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 40 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 41 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 42 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 43 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 44 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 45 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 46 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 47 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 48 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 49 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 50 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 51 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 52 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 53 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 54 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 55 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 56 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 57 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 58 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 59 / 134 ] simplifiying candidate # 8.676 * * * * [progress]: [ 60 / 134 ] simplifiying candidate # 8.677 * * * * [progress]: [ 61 / 134 ] simplifiying candidate # 8.677 * * * * [progress]: [ 62 / 134 ] simplifiying candidate # 8.677 * * * * [progress]: [ 63 / 134 ] simplifiying candidate # 8.677 * * * * [progress]: [ 64 / 134 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N)))))> 8.677 * * * * [progress]: [ 65 / 134 ] simplifiying candidate # 8.677 * * * * [progress]: [ 66 / 134 ] simplifiying candidate # 8.677 * * * * [progress]: [ 67 / 134 ] simplifiying candidate # 8.677 * * * * [progress]: [ 68 / 134 ] simplifiying candidate # 8.677 * * * * [progress]: [ 69 / 134 ] simplifiying candidate # 8.677 * * * * [progress]: [ 70 / 134 ] simplifiying candidate # 8.677 * * * * [progress]: [ 71 / 134 ] simplifiying candidate # 8.677 * * * * [progress]: [ 72 / 134 ] simplifiying candidate # 8.677 * * * * [progress]: [ 73 / 134 ] simplifiying candidate # 8.677 * * * * [progress]: [ 74 / 134 ] simplifiying candidate # 8.677 * * * * [progress]: 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8.678 * * * * [progress]: [ 91 / 134 ] simplifiying candidate # 8.678 * * * * [progress]: [ 92 / 134 ] simplifiying candidate # 8.678 * * * * [progress]: [ 93 / 134 ] simplifiying candidate #real (real->posit16 (sqrt (/ (+ N 1) N)))))))> 8.678 * * * * [progress]: [ 94 / 134 ] simplifiying candidate # 8.678 * * * * [progress]: [ 95 / 134 ] simplifiying candidate # 8.678 * * * * [progress]: [ 96 / 134 ] simplifiying candidate # 8.678 * * * * [progress]: [ 97 / 134 ] simplifiying candidate # 8.678 * * * * [progress]: [ 98 / 134 ] simplifiying candidate # 8.678 * * * * [progress]: [ 99 / 134 ] simplifiying candidate # 8.678 * * * * [progress]: [ 100 / 134 ] simplifiying candidate # 8.678 * * * * [progress]: [ 101 / 134 ] simplifiying candidate # 8.678 * * * * [progress]: [ 102 / 134 ] simplifiying candidate # 8.678 * * * * [progress]: [ 103 / 134 ] simplifiying candidate # 8.678 * * * * [progress]: [ 104 / 134 ] simplifiying candidate # 8.678 * * * * [progress]: [ 105 / 134 ] simplifiying candidate # 8.679 * * * * [progress]: [ 106 / 134 ] simplifiying candidate # 8.679 * * * * [progress]: [ 107 / 134 ] simplifiying candidate # 8.679 * * * * [progress]: [ 108 / 134 ] simplifiying candidate # 8.679 * * * * [progress]: [ 109 / 134 ] simplifiying candidate # 8.679 * * * * [progress]: [ 110 / 134 ] simplifiying candidate # 8.679 * * * * [progress]: [ 111 / 134 ] simplifiying candidate # 8.679 * * * * [progress]: [ 112 / 134 ] simplifiying candidate # 8.679 * * * * [progress]: [ 113 / 134 ] simplifiying candidate # 8.679 * * * * [progress]: [ 114 / 134 ] simplifiying candidate # 8.679 * * * * [progress]: [ 115 / 134 ] simplifiying candidate # 8.679 * * * * [progress]: [ 116 / 134 ] simplifiying candidate # 8.679 * * * * [progress]: [ 117 / 134 ] simplifiying candidate # 8.679 * * * * [progress]: [ 118 / 134 ] simplifiying candidate # 8.679 * * * * [progress]: [ 119 / 134 ] simplifiying candidate # 8.679 * * * * [progress]: [ 120 / 134 ] simplifiying candidate # 8.680 * * * * [progress]: [ 121 / 134 ] simplifiying candidate # 8.680 * * * * [progress]: [ 122 / 134 ] simplifiying candidate #real (real->posit16 (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N)))))> 8.680 * * * * [progress]: [ 123 / 134 ] simplifiying candidate # 8.680 * * * * [progress]: [ 124 / 134 ] simplifiying candidate # 8.680 * * * * [progress]: [ 125 / 134 ] simplifiying candidate # 8.680 * * * * [progress]: [ 126 / 134 ] simplifiying candidate # 8.680 * * * * [progress]: [ 127 / 134 ] simplifiying candidate # 8.680 * * * * [progress]: [ 128 / 134 ] simplifiying candidate # 8.680 * * * * [progress]: [ 129 / 134 ] simplifiying candidate # 8.680 * * * * [progress]: [ 130 / 134 ] simplifiying candidate # 8.680 * * * * [progress]: [ 131 / 134 ] simplifiying candidate # 8.680 * * * * [progress]: [ 132 / 134 ] simplifiying candidate # 8.680 * * * * [progress]: [ 133 / 134 ] simplifiying candidate # 8.680 * * * * [progress]: [ 134 / 134 ] simplifiying candidate # 8.683 * [simplify]: Simplifying: (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ N 1) N)))) (log (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) (log (sqrt (cbrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1))) (log (sqrt (/ (cbrt (+ N 1)) N))) (log (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) 1))) (log (sqrt (/ (sqrt (+ N 1)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1) N))) (log (sqrt (+ N 1))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log 1) (log (sqrt (/ (+ N 1) N))) (log (sqrt (+ N 1))) (log (sqrt N)) (log (/ (+ N 1) N)) (log (sqrt (/ (+ N 1) N))) (log (/ (+ N 1) N)) (log (log (sqrt (/ (+ N 1) N)))) (exp (log (sqrt (/ (+ N 1) N)))) (* (cbrt (log (sqrt (/ (+ N 1) N)))) (cbrt (log (sqrt (/ (+ N 1) N))))) (cbrt (log (sqrt (/ (+ N 1) N)))) (* (* (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N)))) (sqrt (log (sqrt (/ (+ N 1) N)))) (sqrt (log (sqrt (/ (+ N 1) N)))) (real->posit16 (log (sqrt (/ (+ N 1) N)))) (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ N 1) N)))) (log (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 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N))) (log (sqrt (/ (+ N 1) N))) (exp (sqrt (/ (+ N 1) N))) (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N)))) (cbrt (sqrt (/ (+ N 1) N))) (* (* (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N))) (sqrt (/ (+ N 1) N))) (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (sqrt (cbrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (sqrt (/ (cbrt (+ N 1)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 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)) 1)) (sqrt (/ (sqrt (+ N 1)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1) N)) (sqrt 1) (sqrt (/ (+ N 1) N)) (sqrt (+ N 1)) (sqrt (/ 1 N)) (sqrt (+ N 1)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (real->posit16 (sqrt (/ (+ N 1) N))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 8.686 * * [simplify]: iteration 1: (124 enodes) 8.728 * * [simplify]: iteration 2: (430 enodes) 8.808 * * [simplify]: iteration 3: (605 enodes) 8.916 * * [simplify]: iteration 4: (811 enodes) 9.090 * * [simplify]: iteration 5: (1157 enodes) 9.419 * * [simplify]: iteration 6: (1709 enodes) 10.012 * * [simplify]: Extracting #0: cost 65 inf + 0 10.013 * * [simplify]: Extracting #1: cost 228 inf + 3 10.016 * * [simplify]: Extracting #2: cost 514 inf + 1398 10.034 * * [simplify]: Extracting #3: cost 580 inf + 16696 10.049 * * [simplify]: Extracting #4: cost 368 inf + 54099 10.069 * * [simplify]: Extracting #5: cost 118 inf + 151031 10.112 * * [simplify]: Extracting #6: cost 9 inf + 213561 10.141 * * [simplify]: Extracting #7: cost 0 inf + 219117 10.196 * [simplify]: Simplified to: (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ 1 N) N)))) (log (fabs (cbrt (/ (+ 1 N) N)))) (log (sqrt (cbrt (/ (+ 1 N) N)))) (log 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-1/2 N))) (+ 1 (- (/ -1/8 (* N N)) (/ -1/2 N))) 10.210 * * * [progress]: adding candidates to table 11.449 * [progress]: [Phase 3 of 3] Extracting. 11.449 * * [regime]: Finding splitpoints for: (# # # # #) 11.451 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.451 * * * * [regimes]: Trying to branch on N from (# # # # #) 11.523 * * * [regime]: Found split indices: #