23.528 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.109 * * * [progress]: [2/2] Setting up program. 0.113 * [progress]: [Phase 2 of 3] Improving. 0.113 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.114 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.114 * * [simplify]: iteration 1: (6 enodes) 0.116 * * [simplify]: iteration 2: (9 enodes) 0.118 * * [simplify]: iteration 3: (10 enodes) 0.121 * * [simplify]: Extracting #0: cost 1 inf + 0 0.121 * * [simplify]: Extracting #1: cost 4 inf + 0 0.121 * * [simplify]: Extracting #2: cost 6 inf + 0 0.121 * * [simplify]: Extracting #3: cost 6 inf + 1 0.121 * * [simplify]: Extracting #4: cost 0 inf + 560 0.122 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.123 * * [progress]: iteration 1 / 4 0.123 * * * [progress]: picking best candidate 0.127 * * * * [pick]: Picked # 0.127 * * * [progress]: localizing error 0.150 * * * [progress]: generating rewritten candidates 0.150 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.157 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.176 * * * [progress]: generating series expansions 0.176 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.181 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.181 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.182 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.182 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of 1 in N 0.182 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (+ 0 1) into 1 0.184 * [backup-simplify]: Simplify (log 1) into 0 0.184 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.184 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [taylor]: Taking taylor expansion of 1 in N 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (+ 0 1) into 1 0.185 * [backup-simplify]: Simplify (log 1) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [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 -1/2 into -1/2 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [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 0.198 * [backup-simplify]: Simplify 1/3 into 1/3 0.201 * [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))) 0.201 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.201 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.202 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [taylor]: Taking taylor expansion of 1 in N 0.203 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (+ 1 0) into 1 0.229 * [backup-simplify]: Simplify (log 1) into 0 0.229 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [taylor]: Taking taylor expansion of 1 in N 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (+ 1 0) into 1 0.231 * [backup-simplify]: Simplify (log 1) into 0 0.231 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.231 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ 0 1) into 1 0.234 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.234 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.238 * [backup-simplify]: Simplify -1/2 into -1/2 0.240 * [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)))) 0.240 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.240 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.240 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.240 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.240 * [taylor]: Taking taylor expansion of 1 in N 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [backup-simplify]: Simplify (- 1) into -1 0.241 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.242 * [backup-simplify]: Simplify (log -1) into (log -1) 0.242 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.242 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.242 * [taylor]: Taking taylor expansion of 1 in N 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.242 * [taylor]: Taking taylor expansion of N in N 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [backup-simplify]: Simplify (- 1) into -1 0.243 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.243 * [backup-simplify]: Simplify (log -1) into (log -1) 0.244 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.245 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 1 0) into 1 0.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.248 * [backup-simplify]: Simplify -1 into -1 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.253 * [backup-simplify]: Simplify -1/2 into -1/2 0.253 * [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)))) 0.254 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.254 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.254 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.254 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.254 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.254 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.254 * [taylor]: Taking taylor expansion of N in N 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [taylor]: Taking taylor expansion of 1 in N 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (+ 0 1) into 1 0.255 * [backup-simplify]: Simplify (log 1) into 0 0.255 * [taylor]: Taking taylor expansion of (log N) in N 0.255 * [taylor]: Taking taylor expansion of N in N 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (log 1) into 0 0.255 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.255 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.255 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.255 * [taylor]: Taking taylor expansion of N in N 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [taylor]: Taking taylor expansion of 1 in N 0.255 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (+ 0 1) into 1 0.256 * [backup-simplify]: Simplify (log 1) into 0 0.256 * [taylor]: Taking taylor expansion of (log 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 (log 1) into 0 0.257 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.257 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.257 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.257 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.258 * [backup-simplify]: Simplify (+ 1 0) into 1 0.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.259 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 1 0) into 1 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.263 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.264 * [backup-simplify]: Simplify -1/2 into -1/2 0.264 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.264 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.264 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.264 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.264 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.264 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.264 * [taylor]: Taking taylor expansion of N in N 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [taylor]: Taking taylor expansion of 1 in N 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (+ 1 0) into 1 0.265 * [backup-simplify]: Simplify (log 1) into 0 0.265 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.265 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.265 * [taylor]: Taking taylor expansion of N in N 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [backup-simplify]: Simplify (log 1) into 0 0.265 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.265 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.266 * [taylor]: Taking taylor expansion of N in N 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of 1 in N 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (+ 1 0) into 1 0.267 * [backup-simplify]: Simplify (log 1) into 0 0.267 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 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 0.267 * [backup-simplify]: Simplify (log 1) into 0 0.268 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.268 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.268 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.268 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ 0 1) into 1 0.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 1 0) into 1 0.271 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.276 * [backup-simplify]: Simplify -1/2 into -1/2 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [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 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [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 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.284 * [backup-simplify]: Simplify 1/3 into 1/3 0.284 * [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)))) 0.284 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.284 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.284 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.284 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.284 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.284 * [taylor]: Taking taylor expansion of 1 in N 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.284 * [taylor]: Taking taylor expansion of N in N 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [backup-simplify]: Simplify (- 1) into -1 0.285 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.285 * [backup-simplify]: Simplify (log -1) into (log -1) 0.285 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.285 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.285 * [taylor]: Taking taylor expansion of -1 in N 0.285 * [backup-simplify]: Simplify -1 into -1 0.285 * [taylor]: Taking taylor expansion of N in N 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ -1 1) into -1 0.286 * [backup-simplify]: Simplify (log -1) into (log -1) 0.286 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.286 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.286 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.286 * [taylor]: Taking taylor expansion of 1 in N 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.286 * [taylor]: Taking taylor expansion of N in N 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [backup-simplify]: Simplify (- 1) into -1 0.287 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.287 * [backup-simplify]: Simplify (log -1) into (log -1) 0.287 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.287 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.287 * [taylor]: Taking taylor expansion of -1 in N 0.287 * [backup-simplify]: Simplify -1 into -1 0.287 * [taylor]: Taking taylor expansion of N in N 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ -1 1) into -1 0.288 * [backup-simplify]: Simplify (log -1) into (log -1) 0.288 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.289 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.289 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.290 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.291 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ -1 0) into -1 0.293 * [backup-simplify]: Simplify -1 into -1 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.299 * [backup-simplify]: Simplify -1/2 into -1/2 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [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 0.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [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 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.307 * [backup-simplify]: Simplify -1/3 into -1/3 0.307 * [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)))) 0.307 * * * [progress]: simplifying candidates 0.307 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.307 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.307 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.307 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.307 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.307 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.307 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.307 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.307 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.307 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.307 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.307 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.307 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 16 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.308 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 27 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.308 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.309 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.309 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.309 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.309 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.309 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.309 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.309 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.309 * [simplify]: Simplifying: (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log 1) (log (+ N 1)) (log 1) (log (+ N 1)) (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1)))) (log (- (* N N) (* 1 1))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (exp (log (+ N 1))) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (/ (+ N 1) N) (log (- (log (+ N 1)) (log N))) (exp (- (log (+ N 1)) (log N))) (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) (cbrt (- (log (+ N 1)) (log N))) (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (- (pow (log (+ N 1)) 3) (pow (log N) 3)) (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))) (- (log N)) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N)) (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N))) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1)) (log (sqrt N))) (- (log (+ N 1)) (log 1)) (- (log (cbrt (+ N 1))) (log N)) (- (log (sqrt (+ N 1))) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)) (+ (log (- N 1)) (log N)) (- (log N)) (real->posit16 (- (log (+ N 1)) (log N))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.310 * * [simplify]: iteration 1: (97 enodes) 0.334 * * [simplify]: iteration 2: (194 enodes) 0.387 * * [simplify]: iteration 3: (416 enodes) 0.609 * * [simplify]: iteration 4: (1181 enodes) 2.079 * * [simplify]: Extracting #0: cost 41 inf + 0 2.080 * * [simplify]: Extracting #1: cost 292 inf + 1 2.082 * * [simplify]: Extracting #2: cost 656 inf + 365 2.091 * * [simplify]: Extracting #3: cost 473 inf + 34977 2.112 * * [simplify]: Extracting #4: cost 94 inf + 123136 2.161 * * [simplify]: Extracting #5: cost 3 inf + 152666 2.208 * * [simplify]: Extracting #6: cost 0 inf + 153606 2.236 * [simplify]: Simplified to: (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (+ 1 N)) 0 (log (+ 1 N)) (log (+ (* N (* N N)) 1)) (log (+ (- 1 N) (* N N))) (log (+ -1 (* N N))) (log (+ -1 N)) (log (+ 1 N)) (log (log (+ 1 N))) (+ 1 N) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (log (+ 1 N))) (* (* (log (+ 1 N)) (log (+ 1 N))) (log (+ 1 N))) (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N))) (real->posit16 (log (+ 1 N))) (/ (+ 1 N) N) (log (- (log (+ 1 N)) (log N))) (/ (+ 1 N) N) (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) (cbrt (- (log (+ 1 N)) (log N))) (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (- (* (* (log (+ 1 N)) (log (+ 1 N))) (log (+ 1 N))) (* (log N) (* (log N) (log N)))) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (* (log (+ 1 N)) (log (+ 1 N)))) (- (log N)) (* (+ (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (+ (log (+ 1 N)) (log N)) (+ (sqrt (log (+ 1 N))) (sqrt (log N))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (+ (- 1 N) (* N N))) (log N)) (+ (log N) (log (+ -1 N))) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (+ (* (+ (* N 1/3) -1/2) (* N N)) N) (- (/ -1/2 (* N N)) (- (log (/ 1 N)) (/ 1 N))) (- (/ -1/2 (* N N)) (- (log (/ 1 N)) (/ 1 N))) (- N (+ (log 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)))) 2.238 * * * [progress]: adding candidates to table 2.409 * * [progress]: iteration 2 / 4 2.409 * * * [progress]: picking best candidate 2.413 * * * * [pick]: Picked # 2.413 * * * [progress]: localizing error 2.422 * * * [progress]: generating rewritten candidates 2.422 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.427 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.456 * * * [progress]: generating series expansions 2.456 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.456 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 2.456 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 2.456 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.456 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.456 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.456 * [taylor]: Taking taylor expansion of N in N 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify 1 into 1 2.456 * [taylor]: Taking taylor expansion of 1 in N 2.456 * [backup-simplify]: Simplify 1 into 1 2.456 * [taylor]: Taking taylor expansion of N in N 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify 1 into 1 2.457 * [backup-simplify]: Simplify (+ 0 1) into 1 2.457 * [backup-simplify]: Simplify (/ 1 1) into 1 2.458 * [backup-simplify]: Simplify (log 1) into 0 2.458 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.458 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.458 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.458 * [taylor]: Taking taylor expansion of N in N 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [taylor]: Taking taylor expansion of 1 in N 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [taylor]: Taking taylor expansion of N in N 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [backup-simplify]: Simplify (+ 0 1) into 1 2.459 * [backup-simplify]: Simplify (/ 1 1) into 1 2.459 * [backup-simplify]: Simplify (log 1) into 0 2.460 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.460 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.460 * [backup-simplify]: Simplify (+ 1 0) into 1 2.462 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.463 * [backup-simplify]: Simplify 1 into 1 2.463 * [backup-simplify]: Simplify (+ 0 0) into 0 2.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.467 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.467 * [backup-simplify]: Simplify -1/2 into -1/2 2.467 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 2.468 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 2.468 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 2.468 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.468 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.468 * [taylor]: Taking taylor expansion of N in N 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 1 into 1 2.468 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.468 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.468 * [taylor]: Taking taylor expansion of N in N 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 1 into 1 2.468 * [backup-simplify]: Simplify (/ 1 1) into 1 2.468 * [taylor]: Taking taylor expansion of 1 in N 2.468 * [backup-simplify]: Simplify 1 into 1 2.469 * [backup-simplify]: Simplify (+ 1 0) into 1 2.469 * [backup-simplify]: Simplify (* 0 1) into 0 2.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.471 * [backup-simplify]: Simplify (+ 0 1) into 1 2.471 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.472 * [backup-simplify]: Simplify (log 1) into 0 2.472 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.472 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.472 * [taylor]: Taking taylor expansion of N in N 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 1 into 1 2.472 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.472 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.472 * [taylor]: Taking taylor expansion of N in N 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 1 into 1 2.472 * [backup-simplify]: Simplify (/ 1 1) into 1 2.472 * [taylor]: Taking taylor expansion of 1 in N 2.472 * [backup-simplify]: Simplify 1 into 1 2.473 * [backup-simplify]: Simplify (+ 1 0) into 1 2.473 * [backup-simplify]: Simplify (* 0 1) into 0 2.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.475 * [backup-simplify]: Simplify (+ 0 1) into 1 2.475 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.476 * [backup-simplify]: Simplify (log 1) into 0 2.476 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.477 * [backup-simplify]: Simplify (+ 0 0) into 0 2.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.479 * [backup-simplify]: Simplify 1 into 1 2.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.481 * [backup-simplify]: Simplify (+ 0 0) into 0 2.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.485 * [backup-simplify]: Simplify -1/2 into -1/2 2.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.487 * [backup-simplify]: Simplify (+ 0 0) into 0 2.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.493 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 2.493 * [backup-simplify]: Simplify 1/3 into 1/3 2.493 * [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)))) 2.494 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 2.494 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 2.494 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.494 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.494 * [taylor]: Taking taylor expansion of -1 in N 2.494 * [backup-simplify]: Simplify -1 into -1 2.494 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.494 * [taylor]: Taking taylor expansion of N in N 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 1 into 1 2.494 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.494 * [taylor]: Taking taylor expansion of 1 in N 2.494 * [backup-simplify]: Simplify 1 into 1 2.494 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.494 * [taylor]: Taking taylor expansion of N in N 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 1 into 1 2.495 * [backup-simplify]: Simplify (/ 1 1) into 1 2.495 * [backup-simplify]: Simplify (- 1) into -1 2.495 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.496 * [backup-simplify]: Simplify (* 0 -1) into 0 2.496 * [backup-simplify]: Simplify (* -1 0) into 0 2.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.497 * [backup-simplify]: Simplify (- 0) into 0 2.498 * [backup-simplify]: Simplify (+ 1 0) into 1 2.498 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.499 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.499 * [backup-simplify]: Simplify (log 1) into 0 2.499 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.500 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.500 * [taylor]: Taking taylor expansion of -1 in N 2.500 * [backup-simplify]: Simplify -1 into -1 2.500 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.500 * [taylor]: Taking taylor expansion of N in N 2.500 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify 1 into 1 2.500 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.500 * [taylor]: Taking taylor expansion of 1 in N 2.500 * [backup-simplify]: Simplify 1 into 1 2.500 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.500 * [taylor]: Taking taylor expansion of N in N 2.500 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify 1 into 1 2.500 * [backup-simplify]: Simplify (/ 1 1) into 1 2.501 * [backup-simplify]: Simplify (- 1) into -1 2.501 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.501 * [backup-simplify]: Simplify (* 0 -1) into 0 2.502 * [backup-simplify]: Simplify (* -1 0) into 0 2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.503 * [backup-simplify]: Simplify (- 0) into 0 2.503 * [backup-simplify]: Simplify (+ 1 0) into 1 2.504 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.505 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.505 * [backup-simplify]: Simplify (log 1) into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.507 * [backup-simplify]: Simplify (- 0) into 0 2.507 * [backup-simplify]: Simplify (+ 0 0) into 0 2.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.509 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.511 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.511 * [backup-simplify]: Simplify -1 into -1 2.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.512 * [backup-simplify]: Simplify (- 0) into 0 2.513 * [backup-simplify]: Simplify (+ 0 0) into 0 2.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.515 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.518 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.518 * [backup-simplify]: Simplify -1/2 into -1/2 2.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.519 * [backup-simplify]: Simplify (- 0) into 0 2.520 * [backup-simplify]: Simplify (+ 0 0) into 0 2.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.522 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.525 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 2.525 * [backup-simplify]: Simplify -1/3 into -1/3 2.525 * [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)))) 2.525 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.525 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 2.525 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 2.525 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.525 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.525 * [taylor]: Taking taylor expansion of N in N 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 1 into 1 2.526 * [taylor]: Taking taylor expansion of 1 in N 2.526 * [backup-simplify]: Simplify 1 into 1 2.526 * [taylor]: Taking taylor expansion of N in N 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 1 into 1 2.526 * [backup-simplify]: Simplify (+ 0 1) into 1 2.526 * [backup-simplify]: Simplify (/ 1 1) into 1 2.526 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.526 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.526 * [taylor]: Taking taylor expansion of N in N 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 1 into 1 2.526 * [taylor]: Taking taylor expansion of 1 in N 2.526 * [backup-simplify]: Simplify 1 into 1 2.526 * [taylor]: Taking taylor expansion of N in N 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 1 into 1 2.527 * [backup-simplify]: Simplify (+ 0 1) into 1 2.527 * [backup-simplify]: Simplify (/ 1 1) into 1 2.527 * [backup-simplify]: Simplify 1 into 1 2.527 * [backup-simplify]: Simplify (+ 1 0) into 1 2.528 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.528 * [backup-simplify]: Simplify 1 into 1 2.528 * [backup-simplify]: Simplify (+ 0 0) into 0 2.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.528 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify (+ 0 0) into 0 2.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.529 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify (+ 0 0) into 0 2.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify (+ 0 0) into 0 2.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.531 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify (+ 0 0) into 0 2.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify (+ 0 0) into 0 2.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.533 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 2.533 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 2.533 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 2.533 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.533 * [taylor]: Taking taylor expansion of N in N 2.533 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.533 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.533 * [taylor]: Taking taylor expansion of N in N 2.533 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [backup-simplify]: Simplify (/ 1 1) into 1 2.533 * [taylor]: Taking taylor expansion of 1 in N 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.533 * [taylor]: Taking taylor expansion of N in N 2.533 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.533 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.533 * [taylor]: Taking taylor expansion of N in N 2.533 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify 1 into 1 2.534 * [backup-simplify]: Simplify (/ 1 1) into 1 2.534 * [taylor]: Taking taylor expansion of 1 in N 2.534 * [backup-simplify]: Simplify 1 into 1 2.534 * [backup-simplify]: Simplify (+ 1 0) into 1 2.534 * [backup-simplify]: Simplify (* 0 1) into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.535 * [backup-simplify]: Simplify (+ 0 1) into 1 2.535 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.535 * [backup-simplify]: Simplify 1 into 1 2.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.536 * [backup-simplify]: Simplify (+ 0 0) into 0 2.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.537 * [backup-simplify]: Simplify 1 into 1 2.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.538 * [backup-simplify]: Simplify (+ 0 0) into 0 2.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.539 * [backup-simplify]: Simplify (+ 0 0) into 0 2.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.540 * [backup-simplify]: Simplify (+ 0 0) into 0 2.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 2.541 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.542 * [backup-simplify]: Simplify (+ 0 0) into 0 2.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 2.543 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.544 * [backup-simplify]: Simplify (+ 0 0) into 0 2.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.546 * [backup-simplify]: Simplify (+ 0 0) into 0 2.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 2.547 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 2.547 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 2.547 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.547 * [taylor]: Taking taylor expansion of -1 in N 2.547 * [backup-simplify]: Simplify -1 into -1 2.547 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.547 * [taylor]: Taking taylor expansion of N in N 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify 1 into 1 2.547 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.547 * [taylor]: Taking taylor expansion of 1 in N 2.547 * [backup-simplify]: Simplify 1 into 1 2.547 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.547 * [taylor]: Taking taylor expansion of N in N 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify 1 into 1 2.547 * [backup-simplify]: Simplify (/ 1 1) into 1 2.547 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.547 * [taylor]: Taking taylor expansion of -1 in N 2.547 * [backup-simplify]: Simplify -1 into -1 2.547 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.547 * [taylor]: Taking taylor expansion of N in N 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify 1 into 1 2.547 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.547 * [taylor]: Taking taylor expansion of 1 in N 2.548 * [backup-simplify]: Simplify 1 into 1 2.548 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.548 * [taylor]: Taking taylor expansion of N in N 2.548 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify 1 into 1 2.548 * [backup-simplify]: Simplify (/ 1 1) into 1 2.548 * [backup-simplify]: Simplify (- 1) into -1 2.548 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.549 * [backup-simplify]: Simplify (* 0 -1) into 0 2.549 * [backup-simplify]: Simplify (* -1 0) into 0 2.549 * [backup-simplify]: Simplify 0 into 0 2.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.550 * [backup-simplify]: Simplify (- 0) into 0 2.550 * [backup-simplify]: Simplify (+ 1 0) into 1 2.550 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.551 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.551 * [backup-simplify]: Simplify 1 into 1 2.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.551 * [backup-simplify]: Simplify (- 0) into 0 2.552 * [backup-simplify]: Simplify (+ 0 0) into 0 2.552 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.553 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.553 * [backup-simplify]: Simplify -1 into -1 2.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.554 * [backup-simplify]: Simplify (- 0) into 0 2.555 * [backup-simplify]: Simplify (+ 0 0) into 0 2.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.560 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.560 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.562 * [backup-simplify]: Simplify (- 0) into 0 2.562 * [backup-simplify]: Simplify (+ 0 0) into 0 2.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.565 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.565 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.567 * [backup-simplify]: Simplify (- 0) into 0 2.567 * [backup-simplify]: Simplify (+ 0 0) into 0 2.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 2.570 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.571 * [backup-simplify]: Simplify (- 0) into 0 2.571 * [backup-simplify]: Simplify (+ 0 0) into 0 2.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 2.573 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 2.573 * [backup-simplify]: Simplify 0 into 0 2.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.574 * [backup-simplify]: Simplify (- 0) into 0 2.574 * [backup-simplify]: Simplify (+ 0 0) into 0 2.575 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 2.577 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.578 * [backup-simplify]: Simplify (- 0) into 0 2.578 * [backup-simplify]: Simplify (+ 0 0) into 0 2.579 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 2.580 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 2.580 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 2.581 * * * [progress]: simplifying candidates 2.581 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 2.581 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 2.582 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 2.582 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 2.583 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 2.583 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 2.583 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 2.583 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 2.583 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 2.583 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 2.583 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 2.583 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 2.583 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 2.583 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 2.583 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 2.583 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 2.583 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 2.583 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 2.583 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 2.584 * [simplify]: Simplifying: (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log 1) (log (/ (+ 1 N) N)) (log (+ 1 N)) (log (/ 1 N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (exp (log (/ (+ 1 N) N))) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (- (log (+ 1 N)) (log N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (/ (* (* (+ 1 N) (+ 1 N)) (+ 1 N)) (* (* N N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- (+ 1 N)) (- N) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (/ (+ 1 N) 1) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (* 1 1) (- (* N N) (* 1 N)))) (* N (- 1 N)) (real->posit16 (/ (+ 1 N) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 2.584 * * [simplify]: iteration 1: (102 enodes) 2.623 * * [simplify]: iteration 2: (222 enodes) 2.703 * * [simplify]: iteration 3: (490 enodes) 3.117 * * [simplify]: iteration 4: (1427 enodes) 5.000 * * [simplify]: Extracting #0: cost 64 inf + 0 5.001 * * [simplify]: Extracting #1: cost 610 inf + 2 5.005 * * [simplify]: Extracting #2: cost 1264 inf + 4613 5.028 * * [simplify]: Extracting #3: cost 656 inf + 123370 5.091 * * [simplify]: Extracting #4: cost 62 inf + 288096 5.170 * * [simplify]: Extracting #5: cost 2 inf + 310347 5.272 * * [simplify]: Extracting #6: cost 0 inf + 311383 5.374 * [simplify]: Simplified to: (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (+ (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (cbrt (+ N 1)) (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))) (log (cbrt (+ N 1)))) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) 0 (log (/ (+ N 1) N)) (log (+ N 1)) (- (log N)) (log (+ N 1)) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (/ (+ 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) N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) 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)) (- -1 N) (- N) (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (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))) (/ (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)) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (+ N 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (+ (* N (* N N)) (- N (* N N))) (- N (* N N)) (real->posit16 (/ (+ N 1) N)) (- (* (* N N) -1/2) (- (log N) N)) (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N))))) (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N))))) (/ (+ N 1) N) (/ (+ N 1) N) (/ (+ N 1) N) 5.379 * * * [progress]: adding candidates to table 5.640 * * [progress]: iteration 3 / 4 5.640 * * * [progress]: picking best candidate 5.642 * * * * [pick]: Picked # 5.642 * * * [progress]: localizing error 5.660 * * * [progress]: generating rewritten candidates 5.661 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.723 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 5.738 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.744 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 5.760 * * * [progress]: generating series expansions 5.760 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.760 * [backup-simplify]: Simplify (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N)))) into (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) 5.760 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) in (N) around 0 5.760 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) in N 5.760 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 5.760 * [taylor]: Taking taylor expansion of 1/2 in N 5.760 * [backup-simplify]: Simplify 1/2 into 1/2 5.760 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.760 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.760 * [taylor]: Taking taylor expansion of N in N 5.760 * [backup-simplify]: Simplify 0 into 0 5.760 * [backup-simplify]: Simplify 1 into 1 5.761 * [backup-simplify]: Simplify (* 1 1) into 1 5.761 * [backup-simplify]: Simplify (/ 1 1) into 1 5.761 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 5.761 * [taylor]: Taking taylor expansion of 1/3 in N 5.761 * [backup-simplify]: Simplify 1/3 into 1/3 5.762 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.762 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.762 * [taylor]: Taking taylor expansion of N in N 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 1 into 1 5.762 * [backup-simplify]: Simplify (* 1 1) into 1 5.762 * [backup-simplify]: Simplify (* 1 1) into 1 5.762 * [backup-simplify]: Simplify (/ 1 1) into 1 5.763 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) in N 5.763 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 5.763 * [taylor]: Taking taylor expansion of 1/2 in N 5.763 * [backup-simplify]: Simplify 1/2 into 1/2 5.763 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.763 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.763 * [taylor]: Taking taylor expansion of N in N 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.763 * [backup-simplify]: Simplify (* 1 1) into 1 5.763 * [backup-simplify]: Simplify (/ 1 1) into 1 5.763 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 5.763 * [taylor]: Taking taylor expansion of 1/3 in N 5.763 * [backup-simplify]: Simplify 1/3 into 1/3 5.763 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.763 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.763 * [taylor]: Taking taylor expansion of N in N 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.764 * [backup-simplify]: Simplify (* 1 1) into 1 5.764 * [backup-simplify]: Simplify (* 1 1) into 1 5.764 * [backup-simplify]: Simplify (/ 1 1) into 1 5.764 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.765 * [backup-simplify]: Simplify (- 1/3) into -1/3 5.765 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 5.765 * [backup-simplify]: Simplify -1/3 into -1/3 5.765 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.770 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 5.771 * [backup-simplify]: Simplify (- 0) into 0 5.771 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.771 * [backup-simplify]: Simplify 1/2 into 1/2 5.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.777 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 5.777 * [backup-simplify]: Simplify (- 0) into 0 5.777 * [backup-simplify]: Simplify (+ 0 0) into 0 5.777 * [backup-simplify]: Simplify 0 into 0 5.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.784 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.784 * [backup-simplify]: Simplify (- 0) into 0 5.784 * [backup-simplify]: Simplify (+ 0 0) into 0 5.784 * [backup-simplify]: Simplify 0 into 0 5.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.791 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.792 * [backup-simplify]: Simplify (- 0) into 0 5.792 * [backup-simplify]: Simplify (+ 0 0) into 0 5.792 * [backup-simplify]: Simplify 0 into 0 5.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.800 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.800 * [backup-simplify]: Simplify (- 0) into 0 5.800 * [backup-simplify]: Simplify (+ 0 0) into 0 5.800 * [backup-simplify]: Simplify 0 into 0 5.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.809 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.809 * [backup-simplify]: Simplify (- 0) into 0 5.810 * [backup-simplify]: Simplify (+ 0 0) into 0 5.810 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.819 * [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 5.821 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.822 * [backup-simplify]: Simplify (- 0) into 0 5.822 * [backup-simplify]: Simplify (+ 0 0) into 0 5.822 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify (+ (* 1/2 (pow (/ 1 N) 2)) (* -1/3 (pow (/ 1 N) 3))) into (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) 5.823 * [backup-simplify]: Simplify (- (/ 1/2 (* (/ 1 N) (/ 1 N))) (/ 1/3 (* (/ 1 N) (* (/ 1 N) (/ 1 N))))) into (- (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) 5.823 * [approximate]: Taking taylor expansion of (- (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in (N) around 0 5.823 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 5.823 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.823 * [taylor]: Taking taylor expansion of 1/2 in N 5.823 * [backup-simplify]: Simplify 1/2 into 1/2 5.823 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.823 * [taylor]: Taking taylor expansion of N in N 5.823 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify 1 into 1 5.823 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.823 * [taylor]: Taking taylor expansion of 1/3 in N 5.823 * [backup-simplify]: Simplify 1/3 into 1/3 5.823 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.823 * [taylor]: Taking taylor expansion of N in N 5.823 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify 1 into 1 5.823 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 5.823 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.823 * [taylor]: Taking taylor expansion of 1/2 in N 5.823 * [backup-simplify]: Simplify 1/2 into 1/2 5.823 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.823 * [taylor]: Taking taylor expansion of N in N 5.823 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify 1 into 1 5.823 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.823 * [taylor]: Taking taylor expansion of 1/3 in N 5.823 * [backup-simplify]: Simplify 1/3 into 1/3 5.824 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.824 * [taylor]: Taking taylor expansion of N in N 5.824 * [backup-simplify]: Simplify 0 into 0 5.824 * [backup-simplify]: Simplify 1 into 1 5.824 * [backup-simplify]: Simplify (* 1 1) into 1 5.825 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.825 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.825 * [backup-simplify]: Simplify 1/2 into 1/2 5.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.827 * [backup-simplify]: Simplify (* 1 1) into 1 5.827 * [backup-simplify]: Simplify (* 1 1) into 1 5.827 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.828 * [backup-simplify]: Simplify (- 1/3) into -1/3 5.828 * [backup-simplify]: Simplify (+ 0 -1/3) into -1/3 5.828 * [backup-simplify]: Simplify -1/3 into -1/3 5.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.832 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 5.832 * [backup-simplify]: Simplify (- 0) into 0 5.832 * [backup-simplify]: Simplify (+ 0 0) into 0 5.832 * [backup-simplify]: Simplify 0 into 0 5.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.838 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 5.838 * [backup-simplify]: Simplify (- 0) into 0 5.839 * [backup-simplify]: Simplify (+ 0 0) into 0 5.839 * [backup-simplify]: Simplify 0 into 0 5.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.844 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.844 * [backup-simplify]: Simplify (- 0) into 0 5.845 * [backup-simplify]: Simplify (+ 0 0) into 0 5.845 * [backup-simplify]: Simplify 0 into 0 5.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.851 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.851 * [backup-simplify]: Simplify (- 0) into 0 5.852 * [backup-simplify]: Simplify (+ 0 0) into 0 5.852 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.859 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.859 * [backup-simplify]: Simplify (- 0) into 0 5.860 * [backup-simplify]: Simplify (+ 0 0) into 0 5.860 * [backup-simplify]: Simplify 0 into 0 5.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.867 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.867 * [backup-simplify]: Simplify (- 0) into 0 5.867 * [backup-simplify]: Simplify (+ 0 0) into 0 5.868 * [backup-simplify]: Simplify 0 into 0 5.868 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 N) 3)) (* 1/2 (pow (/ 1 N) 2))) into (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) 5.868 * [backup-simplify]: Simplify (- (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1/3 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))))) into (+ (* 1/3 (pow N 3)) (* 1/2 (pow N 2))) 5.868 * [approximate]: Taking taylor expansion of (+ (* 1/3 (pow N 3)) (* 1/2 (pow N 2))) in (N) around 0 5.868 * [taylor]: Taking taylor expansion of (+ (* 1/3 (pow N 3)) (* 1/2 (pow N 2))) in N 5.868 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.868 * [taylor]: Taking taylor expansion of 1/3 in N 5.868 * [backup-simplify]: Simplify 1/3 into 1/3 5.868 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.868 * [taylor]: Taking taylor expansion of N in N 5.868 * [backup-simplify]: Simplify 0 into 0 5.868 * [backup-simplify]: Simplify 1 into 1 5.868 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.868 * [taylor]: Taking taylor expansion of 1/2 in N 5.869 * [backup-simplify]: Simplify 1/2 into 1/2 5.869 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.869 * [taylor]: Taking taylor expansion of N in N 5.869 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify 1 into 1 5.869 * [taylor]: Taking taylor expansion of (+ (* 1/3 (pow N 3)) (* 1/2 (pow N 2))) in N 5.869 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.869 * [taylor]: Taking taylor expansion of 1/3 in N 5.869 * [backup-simplify]: Simplify 1/3 into 1/3 5.869 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.869 * [taylor]: Taking taylor expansion of N in N 5.869 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify 1 into 1 5.869 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.869 * [taylor]: Taking taylor expansion of 1/2 in N 5.869 * [backup-simplify]: Simplify 1/2 into 1/2 5.869 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.869 * [taylor]: Taking taylor expansion of N in N 5.869 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify 1 into 1 5.869 * [backup-simplify]: Simplify (* 1 1) into 1 5.870 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.870 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.870 * [backup-simplify]: Simplify 1/2 into 1/2 5.871 * [backup-simplify]: Simplify (* 1 1) into 1 5.871 * [backup-simplify]: Simplify (* 1 1) into 1 5.871 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.873 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.873 * [backup-simplify]: Simplify 1/3 into 1/3 5.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.875 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 5.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.877 * [backup-simplify]: Simplify (+ 0 0) into 0 5.877 * [backup-simplify]: Simplify 0 into 0 5.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.879 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 5.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.882 * [backup-simplify]: Simplify (+ 0 0) into 0 5.882 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.885 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.888 * [backup-simplify]: Simplify (+ 0 0) into 0 5.888 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.890 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.892 * [backup-simplify]: Simplify (+ 0 0) into 0 5.892 * [backup-simplify]: Simplify 0 into 0 5.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.894 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.900 * [backup-simplify]: Simplify (+ 0 0) into 0 5.900 * [backup-simplify]: Simplify 0 into 0 5.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.903 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.905 * [backup-simplify]: Simplify (+ 0 0) into 0 5.905 * [backup-simplify]: Simplify 0 into 0 5.905 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 (- N)) 3)) (* 1/2 (pow (/ 1 (- N)) 2))) into (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) 5.905 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 5.905 * [backup-simplify]: Simplify (/ 1/3 (* N (* N N))) into (/ 1/3 (pow N 3)) 5.905 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 5.905 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 5.905 * [taylor]: Taking taylor expansion of 1/3 in N 5.906 * [backup-simplify]: Simplify 1/3 into 1/3 5.906 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.906 * [taylor]: Taking taylor expansion of N in N 5.906 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify 1 into 1 5.906 * [backup-simplify]: Simplify (* 1 1) into 1 5.906 * [backup-simplify]: Simplify (* 1 1) into 1 5.906 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 5.906 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 5.906 * [taylor]: Taking taylor expansion of 1/3 in N 5.906 * [backup-simplify]: Simplify 1/3 into 1/3 5.906 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.906 * [taylor]: Taking taylor expansion of N in N 5.906 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify 1 into 1 5.907 * [backup-simplify]: Simplify (* 1 1) into 1 5.907 * [backup-simplify]: Simplify (* 1 1) into 1 5.907 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 5.907 * [backup-simplify]: Simplify 1/3 into 1/3 5.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 5.909 * [backup-simplify]: Simplify 0 into 0 5.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.910 * [backup-simplify]: Simplify 0 into 0 5.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.912 * [backup-simplify]: Simplify 0 into 0 5.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.914 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.917 * [backup-simplify]: Simplify 0 into 0 5.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.921 * [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 5.921 * [backup-simplify]: Simplify 0 into 0 5.921 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 5.921 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 N) (* (/ 1 N) (/ 1 N)))) into (* 1/3 (pow N 3)) 5.921 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0 5.921 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.922 * [taylor]: Taking taylor expansion of 1/3 in N 5.922 * [backup-simplify]: Simplify 1/3 into 1/3 5.922 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.922 * [taylor]: Taking taylor expansion of N in N 5.922 * [backup-simplify]: Simplify 0 into 0 5.922 * [backup-simplify]: Simplify 1 into 1 5.922 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 5.922 * [taylor]: Taking taylor expansion of 1/3 in N 5.922 * [backup-simplify]: Simplify 1/3 into 1/3 5.922 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.922 * [taylor]: Taking taylor expansion of N in N 5.922 * [backup-simplify]: Simplify 0 into 0 5.922 * [backup-simplify]: Simplify 1 into 1 5.922 * [backup-simplify]: Simplify (* 1 1) into 1 5.923 * [backup-simplify]: Simplify (* 1 1) into 1 5.923 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.923 * [backup-simplify]: Simplify 1/3 into 1/3 5.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.925 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 5.925 * [backup-simplify]: Simplify 0 into 0 5.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.928 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 5.928 * [backup-simplify]: Simplify 0 into 0 5.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.931 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.931 * [backup-simplify]: Simplify 0 into 0 5.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.935 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.935 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.939 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.940 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.945 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.945 * [backup-simplify]: Simplify 0 into 0 5.945 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 5.945 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))) into (* -1/3 (pow N 3)) 5.945 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0 5.945 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 5.945 * [taylor]: Taking taylor expansion of -1/3 in N 5.945 * [backup-simplify]: Simplify -1/3 into -1/3 5.945 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.945 * [taylor]: Taking taylor expansion of N in N 5.945 * [backup-simplify]: Simplify 0 into 0 5.945 * [backup-simplify]: Simplify 1 into 1 5.945 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 5.945 * [taylor]: Taking taylor expansion of -1/3 in N 5.945 * [backup-simplify]: Simplify -1/3 into -1/3 5.945 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.945 * [taylor]: Taking taylor expansion of N in N 5.945 * [backup-simplify]: Simplify 0 into 0 5.945 * [backup-simplify]: Simplify 1 into 1 5.946 * [backup-simplify]: Simplify (* 1 1) into 1 5.946 * [backup-simplify]: Simplify (* 1 1) into 1 5.947 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 5.947 * [backup-simplify]: Simplify -1/3 into -1/3 5.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.949 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 5.949 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.952 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 5.952 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.955 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.955 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.959 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.959 * [backup-simplify]: Simplify 0 into 0 5.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.963 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.963 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.967 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.967 * [backup-simplify]: Simplify 0 into 0 5.967 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (- N)) 3)) into (/ 1/3 (pow N 3)) 5.967 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.967 * [backup-simplify]: Simplify (/ 1/2 (* N N)) into (/ 1/2 (pow N 2)) 5.967 * [approximate]: Taking taylor expansion of (/ 1/2 (pow N 2)) in (N) around 0 5.967 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 5.967 * [taylor]: Taking taylor expansion of 1/2 in N 5.967 * [backup-simplify]: Simplify 1/2 into 1/2 5.967 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.967 * [taylor]: Taking taylor expansion of N in N 5.967 * [backup-simplify]: Simplify 0 into 0 5.967 * [backup-simplify]: Simplify 1 into 1 5.968 * [backup-simplify]: Simplify (* 1 1) into 1 5.968 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.968 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 5.968 * [taylor]: Taking taylor expansion of 1/2 in N 5.968 * [backup-simplify]: Simplify 1/2 into 1/2 5.968 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.968 * [taylor]: Taking taylor expansion of N in N 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify 1 into 1 5.968 * [backup-simplify]: Simplify (* 1 1) into 1 5.968 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.968 * [backup-simplify]: Simplify 1/2 into 1/2 5.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.969 * [backup-simplify]: Simplify 0 into 0 5.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.971 * [backup-simplify]: Simplify 0 into 0 5.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.972 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.973 * [backup-simplify]: Simplify 0 into 0 5.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.975 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.976 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 5.976 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 N) (/ 1 N))) into (* 1/2 (pow N 2)) 5.976 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 5.976 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.976 * [taylor]: Taking taylor expansion of 1/2 in N 5.976 * [backup-simplify]: Simplify 1/2 into 1/2 5.976 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.976 * [taylor]: Taking taylor expansion of N in N 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.977 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.977 * [taylor]: Taking taylor expansion of 1/2 in N 5.977 * [backup-simplify]: Simplify 1/2 into 1/2 5.977 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.977 * [taylor]: Taking taylor expansion of N in N 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.977 * [backup-simplify]: Simplify (* 1 1) into 1 5.977 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.978 * [backup-simplify]: Simplify 1/2 into 1/2 5.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.979 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.980 * [backup-simplify]: Simplify 0 into 0 5.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.981 * [backup-simplify]: Simplify 0 into 0 5.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.983 * [backup-simplify]: Simplify 0 into 0 5.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.985 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.986 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 5.987 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/2 (pow N 2)) 5.987 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 5.987 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.987 * [taylor]: Taking taylor expansion of 1/2 in N 5.987 * [backup-simplify]: Simplify 1/2 into 1/2 5.987 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.987 * [taylor]: Taking taylor expansion of N in N 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 5.987 * [taylor]: Taking taylor expansion of 1/2 in N 5.987 * [backup-simplify]: Simplify 1/2 into 1/2 5.987 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.987 * [taylor]: Taking taylor expansion of N in N 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [backup-simplify]: Simplify (* 1 1) into 1 5.988 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.988 * [backup-simplify]: Simplify 1/2 into 1/2 5.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.988 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.991 * [backup-simplify]: Simplify 0 into 0 5.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.992 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.994 * [backup-simplify]: Simplify 0 into 0 5.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.998 * [backup-simplify]: Simplify 0 into 0 5.998 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (- N)) 2)) into (/ 1/2 (pow N 2)) 5.998 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 5.998 * [backup-simplify]: Simplify (* N (* N N)) into (pow N 3) 5.998 * [approximate]: Taking taylor expansion of (pow N 3) in (N) around 0 5.998 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.998 * [taylor]: Taking taylor expansion of N in N 5.998 * [backup-simplify]: Simplify 0 into 0 5.998 * [backup-simplify]: Simplify 1 into 1 5.998 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.998 * [taylor]: Taking taylor expansion of N in N 5.998 * [backup-simplify]: Simplify 0 into 0 5.998 * [backup-simplify]: Simplify 1 into 1 5.999 * [backup-simplify]: Simplify (* 1 1) into 1 5.999 * [backup-simplify]: Simplify (* 1 1) into 1 5.999 * [backup-simplify]: Simplify 1 into 1 6.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.000 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.002 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.004 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.006 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.009 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.017 * [backup-simplify]: Simplify 0 into 0 6.017 * [backup-simplify]: Simplify (* 1 (pow N 3)) into (pow N 3) 6.017 * [backup-simplify]: Simplify (* (/ 1 N) (* (/ 1 N) (/ 1 N))) into (/ 1 (pow N 3)) 6.017 * [approximate]: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0 6.017 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.017 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.017 * [taylor]: Taking taylor expansion of N in N 6.017 * [backup-simplify]: Simplify 0 into 0 6.017 * [backup-simplify]: Simplify 1 into 1 6.018 * [backup-simplify]: Simplify (* 1 1) into 1 6.018 * [backup-simplify]: Simplify (* 1 1) into 1 6.019 * [backup-simplify]: Simplify (/ 1 1) into 1 6.019 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.019 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.019 * [taylor]: Taking taylor expansion of N in N 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify 1 into 1 6.019 * [backup-simplify]: Simplify (* 1 1) into 1 6.020 * [backup-simplify]: Simplify (* 1 1) into 1 6.020 * [backup-simplify]: Simplify (/ 1 1) into 1 6.020 * [backup-simplify]: Simplify 1 into 1 6.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.022 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.025 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.028 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.031 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.033 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.035 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 N)) 3)) into (pow N 3) 6.036 * [backup-simplify]: Simplify (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))) into (/ -1 (pow N 3)) 6.036 * [approximate]: Taking taylor expansion of (/ -1 (pow N 3)) in (N) around 0 6.036 * [taylor]: Taking taylor expansion of (/ -1 (pow N 3)) in N 6.036 * [taylor]: Taking taylor expansion of -1 in N 6.036 * [backup-simplify]: Simplify -1 into -1 6.036 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.036 * [taylor]: Taking taylor expansion of N in N 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify 1 into 1 6.036 * [backup-simplify]: Simplify (* 1 1) into 1 6.036 * [backup-simplify]: Simplify (* 1 1) into 1 6.037 * [backup-simplify]: Simplify (/ -1 1) into -1 6.037 * [taylor]: Taking taylor expansion of (/ -1 (pow N 3)) in N 6.037 * [taylor]: Taking taylor expansion of -1 in N 6.037 * [backup-simplify]: Simplify -1 into -1 6.037 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.037 * [taylor]: Taking taylor expansion of N in N 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 1 into 1 6.037 * [backup-simplify]: Simplify (* 1 1) into 1 6.037 * [backup-simplify]: Simplify (* 1 1) into 1 6.037 * [backup-simplify]: Simplify (/ -1 1) into -1 6.038 * [backup-simplify]: Simplify -1 into -1 6.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.039 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.041 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.044 * [backup-simplify]: Simplify 0 into 0 6.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.046 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.049 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.052 * [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 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- N))) 3)) into (pow N 3) 6.056 * * * [progress]: simplifying candidates 6.056 * * * * [progress]: [ 1 / 101 ] simplifiying candidate # 6.056 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 6.056 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 16 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 18 / 101 ] simplifiying candidate #real (real->posit16 (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N))))))))> 6.057 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 23 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 6.057 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 28 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 29 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 30 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 31 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 32 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 33 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 34 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 35 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 36 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 37 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 38 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 39 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 40 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 41 / 101 ] simplifiying candidate # 6.058 * * * * [progress]: [ 42 / 101 ] simplifiying candidate #real (real->posit16 (/ 1/3 (* N (* N N))))))))> 6.058 * * * * [progress]: [ 43 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 45 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 46 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 47 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 48 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 49 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 50 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 51 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 52 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 53 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 54 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 55 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 56 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 57 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 58 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 59 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 60 / 101 ] simplifiying candidate # 6.059 * * * * [progress]: [ 61 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 62 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 63 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 64 / 101 ] simplifiying candidate #real (real->posit16 (/ 1/2 (* N N)))) (/ 1/3 (* N (* N N))))))> 6.060 * * * * [progress]: [ 65 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 66 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 67 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 68 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 69 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 70 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 71 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 72 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 73 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 74 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 75 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 76 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 77 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 6.060 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 88 / 101 ] simplifiying candidate #real (real->posit16 (* N (* N N))))))))> 6.061 * * * * [progress]: [ 89 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 98 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 6.061 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 6.062 * [simplify]: Simplifying: (/ (exp (/ 1/2 (* N N))) (exp (/ 1/3 (* N (* N N))))) (log (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N))))) (exp (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N))))) (* (cbrt (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N))))) (cbrt (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N)))))) (cbrt (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N))))) (* (* (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N)))) (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N))))) (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N))))) (sqrt (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N))))) (sqrt (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N))))) (- (* 1/2 (* N (* N N))) (* (* N N) 1/3)) (* (* N N) (* N (* N N))) (- (pow (/ 1/2 (* N N)) 3) (pow (/ 1/3 (* N (* N N))) 3)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (+ (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))) (* (/ 1/2 (* N N)) (/ 1/3 (* N (* N N)))))) (- (/ 1/3 (* N (* N N)))) (- (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N))))) (+ (/ 1/2 (* N N)) (/ 1/3 (* N (* N N)))) (+ (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/3 (* N (* N N))))) (- (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/3 (* N (* N N))))) (+ (/ (sqrt 1/2) N) (sqrt (/ 1/3 (* N (* N N))))) (- (/ (sqrt 1/2) N) (sqrt (/ 1/3 (* N (* N N))))) (- (/ 1/2 N) (/ 1/3 (* N N))) (- (/ 1/2 (* N N)) (/ 1/3 (* N (* N N)))) (- (/ 1/3 (* N (* N N)))) (real->posit16 (- (/ 1/2 (* N N)) (/ 1/3 (* N (* 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)))) (- (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))) (+ 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))) (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (/ 1/2 (pow N 2)) (/ 1/2 (pow N 2)) (/ 1/2 (pow N 2)) (pow N 3) (pow N 3) (pow N 3) 6.064 * * [simplify]: iteration 1: (137 enodes) 6.140 * * [simplify]: iteration 2: (327 enodes) 6.324 * * [simplify]: iteration 3: (989 enodes) 8.903 * * [simplify]: Extracting #0: cost 71 inf + 0 8.904 * * [simplify]: Extracting #1: cost 663 inf + 4 8.914 * * [simplify]: Extracting #2: cost 1295 inf + 18749 8.957 * * [simplify]: Extracting #3: cost 642 inf + 134720 9.015 * * [simplify]: Extracting #4: cost 52 inf + 291885 9.081 * * [simplify]: Extracting #5: cost 0 inf + 308333 9.165 * * [simplify]: Extracting #6: cost 0 inf + 308175 9.235 * [simplify]: Simplified to: (exp (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N)))) (log (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N)))) (exp (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N)))) (* (cbrt (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N)))) (cbrt (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N))))) (cbrt (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N)))) (* (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N))) (* (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N))) (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N))))) (sqrt (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N)))) (sqrt (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N)))) (* (* N N) (+ (* 1/2 N) -1/3)) (* (* (* N N) (* N N)) N) (+ (/ -1/27 (* (* N (* N N)) (* (* N (* N N)) (* N (* N N))))) (/ (/ 1/8 (* N N)) (* (* N N) (* 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)))) (/ -1/3 (* N (* N N))) (- (/ (/ 1/4 (* N N)) (* N N)) (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)))) (+ (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N))) (+ (sqrt (/ (/ 1/3 N) (* N N))) (sqrt (/ (/ 1/2 N) N))) (- (sqrt (/ (/ 1/2 N) N)) (sqrt (/ (/ 1/3 N) (* N N)))) (+ (sqrt (/ (/ 1/3 N) (* N N))) (/ (sqrt 1/2) N)) (- (/ (sqrt 1/2) N) (sqrt (/ (/ 1/3 N) (* N N)))) (+ (/ (/ -1/3 N) N) (/ 1/2 N)) (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N))) (/ -1/3 (* N (* N N))) (real->posit16 (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N)))) (log (/ (/ 1/3 N) (* N N))) (log (/ (/ 1/3 N) (* N N))) (log (/ (/ 1/3 N) (* N N))) (log (/ (/ 1/3 N) (* N N))) (exp (/ (/ 1/3 N) (* N N))) (* (/ (/ 1/3 N) (* N N)) (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)))) (* (/ (/ 1/3 N) (* N N)) (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)))) (* (/ (/ 1/3 N) (* N N)) (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)))) (* (cbrt (/ (/ 1/3 N) (* N N))) (cbrt (/ (/ 1/3 N) (* N N)))) (cbrt (/ (/ 1/3 N) (* N N))) (* (/ (/ 1/3 N) (* N N)) (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)))) (sqrt (/ (/ 1/3 N) (* N N))) (sqrt (/ (/ 1/3 N) (* N N))) -1/3 (* (- N) (* N N)) (/ (cbrt 1/3) (/ N (cbrt 1/3))) (/ (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 1/3) (* N N)) (/ 1/3 N) (/ (* N (* N N)) (cbrt 1/3)) (/ (* N (* N N)) (sqrt 1/3)) (* (/ N 1/3) (* N N)) (real->posit16 (/ (/ 1/3 N) (* N N))) (log (/ (/ 1/2 N) N)) (log (/ (/ 1/2 N) N)) (log (/ (/ 1/2 N) N)) (exp (/ (/ 1/2 N) N)) (/ (/ 1/8 (* N N)) (* (* N N) (* N N))) (/ (/ 1/8 (* N N)) (* (* N N) (* N N))) (* (cbrt (/ (/ 1/2 N) N)) (cbrt (/ (/ 1/2 N) N))) (cbrt (/ (/ 1/2 N) N)) (/ (/ 1/8 (* N N)) (* (* N N) (* 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 (/ 1/2 N)) (/ 1/2 N) (/ (* N N) (cbrt 1/2)) (/ N (/ (sqrt 1/2) N)) (/ N (/ 1/2 N)) (real->posit16 (/ (/ 1/2 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))) (* N (sqrt N)) (* N (sqrt N)) (* N N) (* (cbrt N) (* N N)) (* (sqrt N) (* N N)) (* N (* N N)) (real->posit16 (* N (* N N))) (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N))) (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N))) (- (/ (/ 1/2 N) N) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)) (/ (/ 1/2 N) N) (/ (/ 1/2 N) N) (/ (/ 1/2 N) N) (* N (* N N)) (* N (* N N)) (* N (* N N)) 9.246 * * * [progress]: adding candidates to table 9.571 * [progress]: [Phase 3 of 3] Extracting. 9.571 * * [regime]: Finding splitpoints for: (# #) 9.572 * * * [regime-changes]: Trying 1 branch expressions: (N) 9.572 * * * * [regimes]: Trying to branch on N from (# #) 9.611 * * * [regime]: Found split indices: #