20.142 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.137 * * * [progress]: [2/2] Setting up program. 0.142 * [progress]: [Phase 2 of 3] Improving. 0.142 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.142 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.142 * * [simplify]: iteration 0: 6 enodes 0.145 * * [simplify]: iteration 1: 11 enodes 0.147 * * [simplify]: iteration 2: 12 enodes 0.150 * * [simplify]: iteration complete: 12 enodes 0.151 * * [simplify]: Extracting #0: cost 1 inf + 0 0.151 * * [simplify]: Extracting #1: cost 4 inf + 0 0.151 * * [simplify]: Extracting #2: cost 6 inf + 0 0.151 * * [simplify]: Extracting #3: cost 4 inf + 183 0.151 * * [simplify]: Extracting #4: cost 0 inf + 560 0.151 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.157 * * [progress]: iteration 1 / 4 0.157 * * * [progress]: picking best candidate 0.161 * * * * [pick]: Picked # 0.161 * * * [progress]: localizing error 0.186 * * * [progress]: generating rewritten candidates 0.186 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.202 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.209 * * * [progress]: generating series expansions 0.209 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.209 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.209 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.209 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.209 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.209 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [taylor]: Taking taylor expansion of 1 in N 0.210 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (+ 0 1) into 1 0.211 * [backup-simplify]: Simplify (log 1) into 0 0.211 * [taylor]: Taking taylor expansion of (log N) in N 0.211 * [taylor]: Taking taylor expansion of N in N 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (log 1) into 0 0.212 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.212 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.212 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.212 * [taylor]: Taking taylor expansion of N in N 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of 1 in N 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (+ 0 1) into 1 0.213 * [backup-simplify]: Simplify (log 1) into 0 0.213 * [taylor]: Taking taylor expansion of (log N) in N 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (log 1) into 0 0.214 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.214 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.214 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.214 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.215 * [backup-simplify]: Simplify (+ 1 0) into 1 0.216 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.218 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.218 * [backup-simplify]: Simplify (+ 1 0) into 1 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.226 * [backup-simplify]: Simplify -1/2 into -1/2 0.226 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.226 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.226 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.226 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.226 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [taylor]: Taking taylor expansion of 1 in N 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (+ 1 0) into 1 0.228 * [backup-simplify]: Simplify (log 1) into 0 0.228 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.228 * [taylor]: Taking taylor expansion of N in N 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [backup-simplify]: Simplify (log 1) into 0 0.228 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 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 0.229 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.229 * [taylor]: Taking taylor expansion of N in N 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [taylor]: Taking taylor expansion of 1 in N 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify (log 1) into 0 0.230 * [taylor]: Taking taylor expansion of (log (/ 1 N)) 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 0.231 * [backup-simplify]: Simplify (log 1) into 0 0.231 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.232 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.232 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.232 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 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 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify (+ 1 0) into 1 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.246 * [backup-simplify]: Simplify -1/2 into -1/2 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [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 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [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 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.258 * [backup-simplify]: Simplify 1/3 into 1/3 0.259 * [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)))) 0.259 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.259 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.259 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.259 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.259 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.259 * [taylor]: Taking taylor expansion of 1 in N 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.259 * [taylor]: Taking taylor expansion of N in N 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [backup-simplify]: Simplify (- 1) into -1 0.260 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.260 * [backup-simplify]: Simplify (log -1) into (log -1) 0.260 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.261 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.261 * [taylor]: Taking taylor expansion of -1 in N 0.261 * [backup-simplify]: Simplify -1 into -1 0.261 * [taylor]: Taking taylor expansion of N in N 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (/ -1 1) into -1 0.271 * [backup-simplify]: Simplify (log -1) into (log -1) 0.271 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.271 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.271 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.271 * [taylor]: Taking taylor expansion of 1 in N 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.271 * [taylor]: Taking taylor expansion of N in N 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [backup-simplify]: Simplify (- 1) into -1 0.273 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.273 * [backup-simplify]: Simplify (log -1) into (log -1) 0.273 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.273 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.273 * [taylor]: Taking taylor expansion of -1 in N 0.273 * [backup-simplify]: Simplify -1 into -1 0.273 * [taylor]: Taking taylor expansion of N in N 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ -1 1) into -1 0.274 * [backup-simplify]: Simplify (log -1) into (log -1) 0.275 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.276 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.276 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.277 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 1 0) into 1 0.280 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ -1 0) into -1 0.283 * [backup-simplify]: Simplify -1 into -1 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.291 * [backup-simplify]: Simplify -1/2 into -1/2 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [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 0.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [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 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.305 * [backup-simplify]: Simplify -1/3 into -1/3 0.306 * [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)))) 0.306 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.306 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.306 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.306 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.306 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.306 * [taylor]: Taking taylor expansion of N in N 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of 1 in N 0.306 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (+ 0 1) into 1 0.307 * [backup-simplify]: Simplify (log 1) into 0 0.307 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.307 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.307 * [taylor]: Taking taylor expansion of N in N 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of 1 in N 0.307 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (+ 0 1) into 1 0.308 * [backup-simplify]: Simplify (log 1) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (+ 1 0) into 1 0.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.312 * [backup-simplify]: Simplify -1/2 into -1/2 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [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 0.318 * [backup-simplify]: Simplify 1/3 into 1/3 0.318 * [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))) 0.318 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.318 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.318 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.318 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.318 * [taylor]: Taking taylor expansion of N in N 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [taylor]: Taking taylor expansion of 1 in N 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (+ 1 0) into 1 0.319 * [backup-simplify]: Simplify (log 1) into 0 0.319 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.320 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.320 * [taylor]: Taking taylor expansion of N in N 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of 1 in N 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (+ 1 0) into 1 0.321 * [backup-simplify]: Simplify (log 1) into 0 0.321 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.321 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 1) into 1 0.323 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.323 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.327 * [backup-simplify]: Simplify -1/2 into -1/2 0.327 * [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)))) 0.328 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.328 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.328 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.328 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.328 * [taylor]: Taking taylor expansion of 1 in N 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.328 * [taylor]: Taking taylor expansion of N in N 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [backup-simplify]: Simplify (- 1) into -1 0.329 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.329 * [backup-simplify]: Simplify (log -1) into (log -1) 0.329 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.329 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.329 * [taylor]: Taking taylor expansion of 1 in N 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.329 * [taylor]: Taking taylor expansion of N in N 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [backup-simplify]: Simplify (- 1) into -1 0.331 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.331 * [backup-simplify]: Simplify (log -1) into (log -1) 0.332 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.332 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify (+ 1 0) into 1 0.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.335 * [backup-simplify]: Simplify -1 into -1 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.339 * [backup-simplify]: Simplify -1/2 into -1/2 0.339 * [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)))) 0.340 * * * [progress]: simplifying candidates 0.340 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.340 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.340 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.340 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.340 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.340 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.340 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.340 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.340 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.340 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.340 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.340 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.340 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.340 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.340 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.340 * * * * [progress]: [ 16 / 49 ] simplifiying candidate # 0.340 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.341 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.341 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.342 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.342 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.342 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.342 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.342 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.342 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.342 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.342 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.342 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.342 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.342 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.342 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.342 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.343 * [simplify]: Simplifying: (/ (+ N 1) N) (log (- (log (+ N 1)) (log N))) (exp (- (log (+ N 1)) (log N))) (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) (cbrt (- (log (+ N 1)) (log N))) (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (- (pow (log (+ N 1)) 3) (pow (log N) 3)) (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))) (- (log N)) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N)) (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N))) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1)) (log (sqrt N))) (- (log (+ N 1)) (log 1)) (- (log (cbrt (+ N 1))) (log N)) (- (log (sqrt (+ N 1))) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)) (+ (log (- N 1)) (log N)) (- (log N)) (real->posit16 (- (log (+ N 1)) (log N))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log 1) (log (+ N 1)) (log 1) (log (+ N 1)) (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1)))) (log (- (* N N) (* 1 1))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (exp (log (+ N 1))) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.344 * * [simplify]: iteration 0: 97 enodes 0.384 * * [simplify]: iteration 1: 199 enodes 0.473 * * [simplify]: iteration 2: 463 enodes 0.668 * * [simplify]: iteration 3: 1350 enodes 0.953 * * [simplify]: iteration 4: 2006 enodes 1.297 * * [simplify]: iteration complete: 2006 enodes 1.303 * * [simplify]: Extracting #0: cost 42 inf + 0 1.304 * * [simplify]: Extracting #1: cost 207 inf + 1 1.307 * * [simplify]: Extracting #2: cost 469 inf + 868 1.312 * * [simplify]: Extracting #3: cost 434 inf + 20839 1.324 * * [simplify]: Extracting #4: cost 137 inf + 89967 1.340 * * [simplify]: Extracting #5: cost 55 inf + 116652 1.358 * * [simplify]: Extracting #6: cost 14 inf + 123267 1.379 * * [simplify]: Extracting #7: cost 0 inf + 127159 1.397 * [simplify]: Simplified to: (/ (+ N 1) N) (log (- (log (+ N 1)) (log N))) (/ (+ N 1) N) (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) (cbrt (- (log (+ N 1)) (log N))) (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (- (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (* (* (log N) (log N)) (log N))) (+ (* (log N) (+ (log N) (log (+ N 1)))) (* (log (+ N 1)) (log (+ N 1)))) (- (log N)) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log N) (log (+ N 1))) (+ (sqrt (log N)) (sqrt (log (+ N 1)))) (- (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))) (log (cbrt N))) (- (log (+ N 1)) (log (sqrt N))) (log (+ N 1)) (- (log (cbrt (+ N 1))) (log N)) (- (log (sqrt (+ N 1))) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (+ (log (+ (- 1 N) (* N N))) (log N)) (+ (log N) (log (- N 1))) (- (log N)) (real->posit16 (- (log (+ N 1)) (log N))) (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) 0 (log (+ N 1)) 0 (log (+ N 1)) (log (+ 1 (* (* N N) N))) (log (+ (- 1 N) (* N N))) (log (+ -1 (* N N))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (+ N 1) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (+ (- N (log N)) (* (* N N) -1/2)) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ N (* (* N N) (- (* 1/3 N) 1/2))) (+ (+ (/ 1 N) (/ -1/2 (* N N))) (log N)) (+ (+ (+ 0 (log N)) (/ -1/2 (* N N))) (/ 1 N)) 1.399 * * * [progress]: adding candidates to table 1.728 * * [progress]: iteration 2 / 4 1.728 * * * [progress]: picking best candidate 1.736 * * * * [pick]: Picked # 1.736 * * * [progress]: localizing error 1.765 * * * [progress]: generating rewritten candidates 1.765 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.901 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.907 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.910 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.922 * * * [progress]: generating series expansions 1.922 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.923 * [backup-simplify]: Simplify (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1.923 * [approximate]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 1.923 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 1.923 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 1.923 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.923 * [taylor]: Taking taylor expansion of N in N 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.924 * [backup-simplify]: Simplify (/ 1 1) into 1 1.924 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 1.924 * [taylor]: Taking taylor expansion of 1/3 in N 1.924 * [backup-simplify]: Simplify 1/3 into 1/3 1.924 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.924 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.924 * [taylor]: Taking taylor expansion of N in N 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (* 1 1) into 1 1.926 * [backup-simplify]: Simplify (* 1 1) into 1 1.926 * [backup-simplify]: Simplify (/ 1 1) into 1 1.926 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 1.926 * [taylor]: Taking taylor expansion of 1/2 in N 1.926 * [backup-simplify]: Simplify 1/2 into 1/2 1.926 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.926 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.926 * [taylor]: Taking taylor expansion of N in N 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (* 1 1) into 1 1.927 * [backup-simplify]: Simplify (/ 1 1) into 1 1.927 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 1.927 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 1.927 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.927 * [taylor]: Taking taylor expansion of N in N 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (/ 1 1) into 1 1.928 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 1.928 * [taylor]: Taking taylor expansion of 1/3 in N 1.928 * [backup-simplify]: Simplify 1/3 into 1/3 1.928 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.928 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.928 * [taylor]: Taking taylor expansion of N in N 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (* 1 1) into 1 1.929 * [backup-simplify]: Simplify (* 1 1) into 1 1.929 * [backup-simplify]: Simplify (/ 1 1) into 1 1.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 1.929 * [taylor]: Taking taylor expansion of 1/2 in N 1.929 * [backup-simplify]: Simplify 1/2 into 1/2 1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.929 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.929 * [taylor]: Taking taylor expansion of N in N 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify 1 into 1 1.930 * [backup-simplify]: Simplify (* 1 1) into 1 1.930 * [backup-simplify]: Simplify (/ 1 1) into 1 1.931 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 1.931 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 1.931 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 1.931 * [backup-simplify]: Simplify 1/3 into 1/3 1.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.933 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1.933 * [backup-simplify]: Simplify (+ 0 0) into 0 1.933 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.934 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.934 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.934 * [backup-simplify]: Simplify -1/2 into -1/2 1.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1.936 * [backup-simplify]: Simplify (+ 1 0) into 1 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.938 * [backup-simplify]: Simplify (- 0) into 0 1.938 * [backup-simplify]: Simplify (+ 1 0) into 1 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 1.939 * [backup-simplify]: Simplify (+ (+ (/ -1/2 (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N))) (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N)))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1.939 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 1.939 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 1.939 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 1.939 * [taylor]: Taking taylor expansion of 1/3 in N 1.939 * [backup-simplify]: Simplify 1/3 into 1/3 1.939 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.939 * [taylor]: Taking taylor expansion of 1/2 in N 1.939 * [backup-simplify]: Simplify 1/2 into 1/2 1.939 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 1.939 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 1.939 * [taylor]: Taking taylor expansion of 1/3 in N 1.939 * [backup-simplify]: Simplify 1/3 into 1/3 1.939 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.939 * [taylor]: Taking taylor expansion of 1/2 in N 1.939 * [backup-simplify]: Simplify 1/2 into 1/2 1.939 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (+ 1 0) into 1 1.940 * [backup-simplify]: Simplify (+ 1 0) into 1 1.940 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (+ 0 0) into 0 1.941 * [backup-simplify]: Simplify (* 1 1) into 1 1.941 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.941 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.942 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.942 * [backup-simplify]: Simplify -1/2 into -1/2 1.942 * [backup-simplify]: Simplify (* 1 1) into 1 1.942 * [backup-simplify]: Simplify (* 1 1) into 1 1.942 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 1.943 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 1.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.944 * [backup-simplify]: Simplify (- 0) into 0 1.944 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 1.944 * [backup-simplify]: Simplify 1/3 into 1/3 1.945 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1.945 * [backup-simplify]: Simplify (+ (+ (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N)))) (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) 1.945 * [approximate]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in (N) around 0 1.945 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 1.945 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 1.945 * [taylor]: Taking taylor expansion of N in N 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 1.945 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.945 * [taylor]: Taking taylor expansion of 1/2 in N 1.945 * [backup-simplify]: Simplify 1/2 into 1/2 1.945 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.945 * [taylor]: Taking taylor expansion of N in N 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 1.945 * [taylor]: Taking taylor expansion of 1/3 in N 1.945 * [backup-simplify]: Simplify 1/3 into 1/3 1.945 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.945 * [taylor]: Taking taylor expansion of N in N 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 1.945 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 1.945 * [taylor]: Taking taylor expansion of N in N 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 1.945 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.945 * [taylor]: Taking taylor expansion of 1/2 in N 1.945 * [backup-simplify]: Simplify 1/2 into 1/2 1.945 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.945 * [taylor]: Taking taylor expansion of N in N 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 1.945 * [taylor]: Taking taylor expansion of 1/3 in N 1.945 * [backup-simplify]: Simplify 1/3 into 1/3 1.945 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.946 * [taylor]: Taking taylor expansion of N in N 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (- 0) into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (+ 1 0) into 1 1.947 * [backup-simplify]: Simplify (- 1) into -1 1.947 * [backup-simplify]: Simplify -1 into -1 1.947 * [backup-simplify]: Simplify (* 1 1) into 1 1.947 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.947 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.948 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.948 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.948 * [backup-simplify]: Simplify -1/2 into -1/2 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.949 * [backup-simplify]: Simplify (* 1 1) into 1 1.949 * [backup-simplify]: Simplify (* 1 1) into 1 1.949 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 1.950 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 1.950 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 1.950 * [backup-simplify]: Simplify (- 1/3) into -1/3 1.950 * [backup-simplify]: Simplify -1/3 into -1/3 1.951 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1.951 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.951 * [backup-simplify]: Simplify (/ -1/2 (* N N)) into (/ -1/2 (pow N 2)) 1.951 * [approximate]: Taking taylor expansion of (/ -1/2 (pow N 2)) in (N) around 0 1.951 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 1.951 * [taylor]: Taking taylor expansion of -1/2 in N 1.951 * [backup-simplify]: Simplify -1/2 into -1/2 1.951 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.951 * [taylor]: Taking taylor expansion of N in N 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (* 1 1) into 1 1.951 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.951 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 1.951 * [taylor]: Taking taylor expansion of -1/2 in N 1.951 * [backup-simplify]: Simplify -1/2 into -1/2 1.951 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.951 * [taylor]: Taking taylor expansion of N in N 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.952 * [backup-simplify]: Simplify (* 1 1) into 1 1.952 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.952 * [backup-simplify]: Simplify -1/2 into -1/2 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.959 * [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 1.959 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 1.960 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 N) (/ 1 N))) into (* -1/2 (pow N 2)) 1.960 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 1.960 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 1.960 * [taylor]: Taking taylor expansion of -1/2 in N 1.960 * [backup-simplify]: Simplify -1/2 into -1/2 1.960 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.960 * [taylor]: Taking taylor expansion of N in N 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 1.960 * [taylor]: Taking taylor expansion of -1/2 in N 1.960 * [backup-simplify]: Simplify -1/2 into -1/2 1.960 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.960 * [taylor]: Taking taylor expansion of N in N 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (* 1 1) into 1 1.960 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.960 * [backup-simplify]: Simplify -1/2 into -1/2 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.961 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.962 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.964 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.965 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.967 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.968 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 1.969 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/2 (pow N 2)) 1.969 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 1.969 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 1.969 * [taylor]: Taking taylor expansion of -1/2 in N 1.969 * [backup-simplify]: Simplify -1/2 into -1/2 1.969 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.969 * [taylor]: Taking taylor expansion of N in N 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 1.969 * [taylor]: Taking taylor expansion of -1/2 in N 1.969 * [backup-simplify]: Simplify -1/2 into -1/2 1.969 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.969 * [taylor]: Taking taylor expansion of N in N 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (* 1 1) into 1 1.970 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 1.970 * [backup-simplify]: Simplify -1/2 into -1/2 1.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.970 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.971 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.974 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.976 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.978 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 (- N)) 2)) into (/ -1/2 (pow N 2)) 1.978 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.978 * [backup-simplify]: Simplify (/ 1/3 N) into (/ 1/3 N) 1.978 * [approximate]: Taking taylor expansion of (/ 1/3 N) in (N) around 0 1.978 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 1.978 * [taylor]: Taking taylor expansion of 1/3 in N 1.978 * [backup-simplify]: Simplify 1/3 into 1/3 1.978 * [taylor]: Taking taylor expansion of N in N 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 1.978 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 1.978 * [taylor]: Taking taylor expansion of 1/3 in N 1.978 * [backup-simplify]: Simplify 1/3 into 1/3 1.978 * [taylor]: Taking taylor expansion of N in N 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 1.979 * [backup-simplify]: Simplify 1/3 into 1/3 1.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.981 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [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 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 1.983 * [backup-simplify]: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 1.983 * [approximate]: Taking taylor expansion of (* 1/3 N) in (N) around 0 1.983 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 1.983 * [taylor]: Taking taylor expansion of 1/3 in N 1.983 * [backup-simplify]: Simplify 1/3 into 1/3 1.983 * [taylor]: Taking taylor expansion of N in N 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 1.983 * [taylor]: Taking taylor expansion of 1/3 in N 1.983 * [backup-simplify]: Simplify 1/3 into 1/3 1.983 * [taylor]: Taking taylor expansion of N in N 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (* 1/3 0) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1.984 * [backup-simplify]: Simplify 1/3 into 1/3 1.984 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.985 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 1.989 * [backup-simplify]: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 1.989 * [approximate]: Taking taylor expansion of (* -1/3 N) in (N) around 0 1.989 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 1.989 * [taylor]: Taking taylor expansion of -1/3 in N 1.989 * [backup-simplify]: Simplify -1/3 into -1/3 1.989 * [taylor]: Taking taylor expansion of N in N 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 1.989 * [taylor]: Taking taylor expansion of -1/3 in N 1.989 * [backup-simplify]: Simplify -1/3 into -1/3 1.989 * [taylor]: Taking taylor expansion of N in N 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (* -1/3 0) into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 1.990 * [backup-simplify]: Simplify -1/3 into -1/3 1.991 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 1.996 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.996 * [backup-simplify]: Simplify (/ (/ 1/3 N) (* N N)) into (/ 1/3 (pow N 3)) 1.996 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 1.996 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 1.996 * [taylor]: Taking taylor expansion of 1/3 in N 1.996 * [backup-simplify]: Simplify 1/3 into 1/3 1.996 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.996 * [taylor]: Taking taylor expansion of N in N 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (* 1 1) into 1 1.999 * [backup-simplify]: Simplify (* 1 1) into 1 1.999 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 1.999 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 1.999 * [taylor]: Taking taylor expansion of 1/3 in N 1.999 * [backup-simplify]: Simplify 1/3 into 1/3 1.999 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.999 * [taylor]: Taking taylor expansion of N in N 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (* 1 1) into 1 2.000 * [backup-simplify]: Simplify (* 1 1) into 1 2.000 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.000 * [backup-simplify]: Simplify 1/3 into 1/3 2.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 2.012 * [backup-simplify]: Simplify (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (* 1/3 (pow N 3)) 2.012 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0 2.012 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.012 * [taylor]: Taking taylor expansion of 1/3 in N 2.012 * [backup-simplify]: Simplify 1/3 into 1/3 2.012 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.012 * [taylor]: Taking taylor expansion of N in N 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.012 * [taylor]: Taking taylor expansion of 1/3 in N 2.012 * [backup-simplify]: Simplify 1/3 into 1/3 2.012 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.012 * [taylor]: Taking taylor expansion of N in N 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (* 1 1) into 1 2.013 * [backup-simplify]: Simplify (* 1 1) into 1 2.013 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.013 * [backup-simplify]: Simplify 1/3 into 1/3 2.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.014 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.014 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.016 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.022 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.025 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 2.028 * [backup-simplify]: Simplify (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/3 (pow N 3)) 2.028 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0 2.028 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 2.028 * [taylor]: Taking taylor expansion of -1/3 in N 2.028 * [backup-simplify]: Simplify -1/3 into -1/3 2.028 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.028 * [taylor]: Taking taylor expansion of N in N 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 2.028 * [taylor]: Taking taylor expansion of -1/3 in N 2.028 * [backup-simplify]: Simplify -1/3 into -1/3 2.028 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.028 * [taylor]: Taking taylor expansion of N in N 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (* 1 1) into 1 2.029 * [backup-simplify]: Simplify (* 1 1) into 1 2.030 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 2.030 * [backup-simplify]: Simplify -1/3 into -1/3 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.031 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.033 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.036 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.038 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.041 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.043 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.043 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (- N)) 3)) into (/ 1/3 (pow N 3)) 2.044 * * * [progress]: simplifying candidates 2.044 * * * * [progress]: [ 1 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 2 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 3 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 4 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 5 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 6 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 7 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 8 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 9 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 10 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 11 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 12 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 13 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 14 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 15 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 16 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 17 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 18 / 129 ] simplifiying candidate # 2.044 * * * * [progress]: [ 19 / 129 ] simplifiying candidate #real (real->posit16 (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))))))> 2.044 * * * * [progress]: [ 20 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 21 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 22 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 23 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 24 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 25 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 26 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 27 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 28 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 29 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 30 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 31 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 32 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 33 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 34 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 35 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 36 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 37 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 38 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 39 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 40 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 41 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 42 / 129 ] simplifiying candidate #real (real->posit16 (/ -1/2 (* N N)))) (/ 1 N)) (/ (/ 1/3 N) (* N N))))> 2.045 * * * * [progress]: [ 43 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 44 / 129 ] simplifiying candidate # 2.045 * * * * [progress]: [ 45 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 46 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 47 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 48 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 49 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 50 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 51 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 52 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 53 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 54 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 55 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 56 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 57 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 58 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 59 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 60 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 61 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 62 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 63 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 64 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 65 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 66 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 67 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 68 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 69 / 129 ] simplifiying candidate # 2.046 * * * * [progress]: [ 70 / 129 ] simplifiying candidate #real (real->posit16 (/ 1/3 N))) (* N N))))> 2.047 * * * * [progress]: [ 71 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 72 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 73 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 74 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 75 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 76 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 77 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 78 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 79 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 80 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 81 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 82 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 83 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 84 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 85 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 86 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 87 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 88 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 89 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 90 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 91 / 129 ] simplifiying candidate # 2.047 * * * * [progress]: [ 92 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 93 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 94 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 95 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 96 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 97 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 98 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 99 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 100 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 101 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 102 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 103 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 104 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 105 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 106 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 107 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 108 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 109 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 110 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 111 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 112 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 113 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 114 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 115 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 116 / 129 ] simplifiying candidate # 2.048 * * * * [progress]: [ 117 / 129 ] simplifiying candidate #real (real->posit16 (/ (/ 1/3 N) (* N N))))))> 2.049 * * * * [progress]: [ 118 / 129 ] simplifiying candidate # 2.049 * * * * [progress]: [ 119 / 129 ] simplifiying candidate # 2.049 * * * * [progress]: [ 120 / 129 ] simplifiying candidate # 2.049 * * * * [progress]: [ 121 / 129 ] simplifiying candidate # 2.049 * * * * [progress]: [ 122 / 129 ] simplifiying candidate # 2.049 * * * * [progress]: [ 123 / 129 ] simplifiying candidate # 2.049 * * * * [progress]: [ 124 / 129 ] simplifiying candidate # 2.049 * * * * [progress]: [ 125 / 129 ] simplifiying candidate # 2.049 * * * * [progress]: [ 126 / 129 ] simplifiying candidate # 2.049 * * * * [progress]: [ 127 / 129 ] simplifiying candidate # 2.049 * * * * [progress]: [ 128 / 129 ] simplifiying candidate # 2.049 * * * * [progress]: [ 129 / 129 ] simplifiying candidate # 2.050 * [simplify]: Simplifying: (* (* (exp (/ -1/2 (* N N))) (exp (/ 1 N))) (exp (/ (/ 1/3 N) (* N N)))) (* (exp (+ (/ -1/2 (* N N)) (/ 1 N))) (exp (/ (/ 1/3 N) (* N N)))) (log (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (exp (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (* (cbrt (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (cbrt (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (* (* (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (sqrt (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (sqrt (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N)))) (+ (* (+ (* -1/2 N) (* (* N N) 1)) (* N N)) (* (* (* N N) N) (/ 1/3 N))) (* (* (* N N) N) (* N N)) (+ (* (+ (pow (/ -1/2 (* N N)) 3) (pow (/ 1 N) 3)) (* N N)) (* (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ 1 N)))) (/ 1/3 N))) (* (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ 1 N)))) (* N N)) (+ (* (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ 1 N))) (* N N)) (* (- (/ -1/2 (* N N)) (/ 1 N)) (/ 1/3 N))) (* (- (/ -1/2 (* N N)) (/ 1 N)) (* N N)) (+ (pow (+ (/ -1/2 (* N N)) (/ 1 N)) 3) (pow (/ (/ 1/3 N) (* N N)) 3)) (+ (* (+ (/ -1/2 (* N N)) (/ 1 N)) (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))))) (- (* (+ (/ -1/2 (* N N)) (/ 1 N)) (+ (/ -1/2 (* N N)) (/ 1 N))) (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)))) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (+ (/ 1 N) (/ (/ 1/3 N) (* N N))) (real->posit16 (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 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))) (- (log 1/3) (log N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (* (* 1/3 1/3) 1/3) (* (* N N) N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) (- 1/3) (- N) (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) (/ (cbrt 1/3) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) 1) (/ (cbrt 1/3) N) (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) 1) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) (/ 1 1) (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) (/ 1/3 1) (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 N)) (- (- (log 1/3) (log N)) (+ (log N) (log N))) (- (- (log 1/3) (log N)) (log (* N N))) (- (log (/ 1/3 N)) (+ (log N) (log N))) (- (log (/ 1/3 N)) (log (* 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 N) (/ 1/3 N)) (/ 1/3 N)) (* (* (* N N) N) (* (* N N) N))) (/ (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 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 N)) (cbrt (/ 1/3 N))) N) (/ (cbrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) (* (cbrt N) (cbrt N))) N) (/ (/ (cbrt 1/3) (cbrt N)) N) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) N) (/ (/ (cbrt 1/3) (sqrt N)) N) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) 1) N) (/ (/ (cbrt 1/3) N) N) (/ (/ (sqrt 1/3) (* (cbrt N) (cbrt N))) N) (/ (/ (sqrt 1/3) (cbrt N)) N) (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (/ (sqrt 1/3) 1) N) (/ (/ (sqrt 1/3) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 1/3 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 1/3 (sqrt N)) N) (/ (/ 1 1) N) (/ (/ 1/3 N) N) (/ 1 N) (/ (/ 1/3 N) N) (/ 1/3 N) (/ (/ 1 N) N) (/ 1 (* N N)) (/ (* N N) (/ 1/3 N)) (/ (/ 1/3 N) N) (/ (* N N) (cbrt (/ 1/3 N))) (/ (* N N) (sqrt (/ 1/3 N))) (/ (* N N) (/ (cbrt 1/3) (cbrt N))) (/ (* N N) (/ (cbrt 1/3) (sqrt N))) (/ (* N N) (/ (cbrt 1/3) N)) (/ (* N N) (/ (sqrt 1/3) (cbrt N))) (/ (* N N) (/ (sqrt 1/3) (sqrt N))) (/ (* N N) (/ (sqrt 1/3) N)) (/ (* N N) (/ 1/3 (cbrt N))) (/ (* N N) (/ 1/3 (sqrt N))) (/ (* N N) (/ 1/3 N)) (/ (* N N) (/ 1/3 N)) (/ (* N N) (/ 1 N)) (* (* N N) N) (real->posit16 (/ (/ 1/3 N) (* N N))) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (/ -1/2 (pow N 2)) (/ -1/2 (pow N 2)) (/ -1/2 (pow N 2)) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) 2.052 * * [simplify]: iteration 0: 200 enodes 2.105 * * [simplify]: iteration 1: 535 enodes 2.413 * * [simplify]: iteration 2: 1848 enodes 2.827 * * [simplify]: iteration 3: 2002 enodes 3.314 * * [simplify]: iteration complete: 2002 enodes 3.314 * * [simplify]: Extracting #0: cost 108 inf + 0 3.316 * * [simplify]: Extracting #1: cost 433 inf + 4 3.331 * * [simplify]: Extracting #2: cost 598 inf + 11714 3.361 * * [simplify]: Extracting #3: cost 217 inf + 92951 3.400 * * [simplify]: Extracting #4: cost 26 inf + 143596 3.437 * * [simplify]: Extracting #5: cost 2 inf + 150674 3.497 * * [simplify]: Extracting #6: cost 0 inf + 151362 3.555 * [simplify]: Simplified to: (exp (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (exp (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (log (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (exp (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (* (cbrt (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (cbrt (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)))) (cbrt (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (* (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)) (* (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)) (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)))) (sqrt (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (sqrt (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (+ (* (+ (* -1/2 N) (* N N)) (* N N)) (* (* (* N N) N) (/ 1/3 N))) (* (* (* N N) (* N N)) N) (+ (* (+ (/ (/ 1/4 (* N N)) (* N N)) (- (* (/ 1 N) (/ 1 N)) (/ (/ (/ -1/2 N) N) N))) (/ 1/3 N)) (* (* N N) (+ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (/ -1/8 (* (* (* N N) (* N N)) (* N N)))))) (* (+ (* (/ 1 N) (- (/ 1 N) (/ (/ -1/2 N) N))) (/ (/ 1/4 (* N N)) (* N N))) (* N N)) (+ (* (/ 1/3 N) (- (/ (/ -1/2 N) N) (/ 1 N))) (* (* N N) (- (/ (/ 1/4 (* N N)) (* N N)) (* (/ 1 N) (/ 1 N))))) (* (* N N) (- (/ (/ -1/2 N) N) (/ 1 N))) (+ (* (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N)) (/ (/ (/ 1/3 N) N) N)) (* (* (+ (/ (/ -1/2 N) N) (/ 1 N)) (+ (/ (/ -1/2 N) N) (/ 1 N))) (+ (/ (/ -1/2 N) N) (/ 1 N)))) (+ (* (+ (/ (/ -1/2 N) N) (/ 1 N)) (+ (/ (/ -1/2 N) N) (/ 1 N))) (* (/ (/ (/ 1/3 N) N) N) (- (/ (/ (/ 1/3 N) N) N) (+ (/ (/ -1/2 N) N) (/ 1 N))))) (- (* (+ (/ (/ -1/2 N) N) (/ 1 N)) (+ (/ (/ -1/2 N) N) (/ 1 N))) (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N))) (+ (- (/ 1 N) (/ (/ (/ 1/3 N) N) N)) (/ (/ -1/2 N) N)) (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)) (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)) (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)) (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (real->posit16 (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N))) (log (/ (/ -1/2 N) N)) (log (/ (/ -1/2 N) N)) (log (/ (/ -1/2 N) N)) (exp (/ (/ -1/2 N) N)) (/ -1/8 (* (* (* N N) (* N N)) (* N N))) (/ -1/8 (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ (/ -1/2 N) N)) (cbrt (/ (/ -1/2 N) N))) (cbrt (/ (/ -1/2 N) N)) (/ -1/8 (* (* (* N N) (* N N)) (* N N))) (sqrt (/ (/ -1/2 N) N)) (sqrt (/ (/ -1/2 N) N)) 1/2 (- (* N N)) (/ (cbrt -1/2) (/ N (cbrt -1/2))) (/ (cbrt -1/2) N) (/ (sqrt -1/2) N) (/ (sqrt -1/2) N) (/ 1 N) (/ -1/2 N) (* (/ 1 N) (/ 1 N)) (/ (* N N) -1/2) (/ -1/2 N) (/ (* N N) (cbrt -1/2)) (/ (* N N) (sqrt -1/2)) (/ (* N N) -1/2) (real->posit16 (/ (/ -1/2 N) N)) (log (/ 1/3 N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) (sqrt (/ 1/3 N)) (sqrt (/ 1/3 N)) -1/3 (- N) (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) (/ (cbrt 1/3) (cbrt N)) (* (/ (cbrt 1/3) (sqrt N)) (cbrt 1/3)) (/ (cbrt 1/3) (sqrt N)) (* (cbrt 1/3) (cbrt 1/3)) (/ (cbrt 1/3) N) (/ (/ (sqrt 1/3) (cbrt N)) (cbrt N)) (/ (sqrt 1/3) (cbrt N)) (/ (sqrt 1/3) (sqrt N)) (/ (sqrt 1/3) (sqrt N)) (sqrt 1/3) (/ (sqrt 1/3) N) (/ 1 (* (cbrt N) (cbrt N))) (/ 1/3 (cbrt N)) (/ 1 (sqrt N)) (/ 1/3 (sqrt N)) 1 (/ 1/3 N) (/ 1 N) (/ N 1/3) (/ 1/3 (* (cbrt N) (cbrt N))) (/ 1/3 (sqrt N)) 1/3 (/ N (cbrt 1/3)) (/ N (sqrt 1/3)) (/ N 1/3) (real->posit16 (/ 1/3 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)) (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)) (* (* (/ (/ (/ 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)) (/ N (cbrt (/ 1/3 N)))) (/ (cbrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (* (/ (cbrt 1/3) (cbrt N)) (/ (cbrt 1/3) (cbrt N))) N) (/ (/ (cbrt 1/3) N) (cbrt N)) (* (/ (cbrt 1/3) N) (/ (cbrt 1/3) (sqrt N))) (/ (/ (cbrt 1/3) N) (sqrt N)) (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ (cbrt 1/3) (* N N)) (/ (sqrt 1/3) (* (* N (cbrt N)) (cbrt N))) (/ (/ (sqrt 1/3) (cbrt N)) N) (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (/ (sqrt 1/3) (sqrt N)) N) (/ (sqrt 1/3) N) (/ (sqrt 1/3) (* N N)) (/ 1 (* (* N (cbrt N)) (cbrt N))) (/ (/ 1/3 (cbrt N)) N) (/ 1 (* N (sqrt N))) (/ 1/3 (* N (sqrt N))) (/ 1 N) (/ (/ 1/3 N) N) (/ 1 N) (/ (/ 1/3 N) N) (/ 1/3 N) (* (/ 1 N) (/ 1 N)) (* (/ 1 N) (/ 1 N)) (/ N (/ (/ 1/3 N) N)) (/ (/ 1/3 N) N) (/ (* N N) (cbrt (/ 1/3 N))) (* (/ N (sqrt (/ 1/3 N))) N) (/ (* N N) (/ (cbrt 1/3) (cbrt N))) (/ N (/ (/ (cbrt 1/3) N) (sqrt N))) (/ (* (* N N) N) (cbrt 1/3)) (* (/ (* N N) (sqrt 1/3)) (cbrt N)) (/ (* N N) (/ (sqrt 1/3) (sqrt N))) (/ (* (* N N) N) (sqrt 1/3)) (* (/ (* N N) 1/3) (cbrt N)) (* (/ (* N N) 1/3) (sqrt N)) (/ N (/ (/ 1/3 N) N)) (/ N (/ (/ 1/3 N) N)) (* (* N N) N) (* (* N N) N) (real->posit16 (/ (/ (/ 1/3 N) N) N)) (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)) (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)) (+ (+ (/ (/ (/ 1/3 N) N) N) (/ 1 N)) (/ (/ -1/2 N) N)) (/ (/ -1/2 N) N) (/ (/ -1/2 N) N) (/ (/ -1/2 N) N) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N) 3.571 * * * [progress]: adding candidates to table 4.648 * * [progress]: iteration 3 / 4 4.648 * * * [progress]: picking best candidate 4.665 * * * * [pick]: Picked # 4.665 * * * [progress]: localizing error 4.684 * * * [progress]: generating rewritten candidates 4.684 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.692 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.712 * * * [progress]: generating series expansions 4.712 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.712 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 4.712 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 4.712 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 4.712 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.712 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.712 * [taylor]: Taking taylor expansion of N in N 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 1 into 1 4.712 * [taylor]: Taking taylor expansion of 1 in N 4.712 * [backup-simplify]: Simplify 1 into 1 4.712 * [taylor]: Taking taylor expansion of N in N 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 1 into 1 4.713 * [backup-simplify]: Simplify (+ 0 1) into 1 4.713 * [backup-simplify]: Simplify (/ 1 1) into 1 4.713 * [backup-simplify]: Simplify (log 1) into 0 4.713 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 4.713 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.713 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.713 * [taylor]: Taking taylor expansion of N in N 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [taylor]: Taking taylor expansion of 1 in N 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [taylor]: Taking taylor expansion of N in N 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify 1 into 1 4.714 * [backup-simplify]: Simplify (+ 0 1) into 1 4.714 * [backup-simplify]: Simplify (/ 1 1) into 1 4.714 * [backup-simplify]: Simplify (log 1) into 0 4.714 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.715 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.715 * [backup-simplify]: Simplify (+ 1 0) into 1 4.715 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 4.716 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.716 * [backup-simplify]: Simplify 1 into 1 4.716 * [backup-simplify]: Simplify (+ 0 0) into 0 4.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.718 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.718 * [backup-simplify]: Simplify -1/2 into -1/2 4.718 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 4.719 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 4.719 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 4.719 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 4.719 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.719 * [taylor]: Taking taylor expansion of N in N 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 1 into 1 4.719 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.719 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.719 * [taylor]: Taking taylor expansion of N in N 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 1 into 1 4.719 * [backup-simplify]: Simplify (/ 1 1) into 1 4.719 * [taylor]: Taking taylor expansion of 1 in N 4.719 * [backup-simplify]: Simplify 1 into 1 4.719 * [backup-simplify]: Simplify (+ 1 0) into 1 4.720 * [backup-simplify]: Simplify (* 0 1) into 0 4.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.720 * [backup-simplify]: Simplify (+ 0 1) into 1 4.721 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.721 * [backup-simplify]: Simplify (log 1) into 0 4.721 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 4.721 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.721 * [taylor]: Taking taylor expansion of N in N 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 1 into 1 4.721 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.721 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.721 * [taylor]: Taking taylor expansion of N in N 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 1 into 1 4.721 * [backup-simplify]: Simplify (/ 1 1) into 1 4.721 * [taylor]: Taking taylor expansion of 1 in N 4.722 * [backup-simplify]: Simplify 1 into 1 4.722 * [backup-simplify]: Simplify (+ 1 0) into 1 4.722 * [backup-simplify]: Simplify (* 0 1) into 0 4.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.723 * [backup-simplify]: Simplify (+ 0 1) into 1 4.729 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.729 * [backup-simplify]: Simplify (log 1) into 0 4.729 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.731 * [backup-simplify]: Simplify (+ 0 0) into 0 4.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.733 * [backup-simplify]: Simplify 1 into 1 4.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.734 * [backup-simplify]: Simplify (+ 0 0) into 0 4.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 4.738 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.739 * [backup-simplify]: Simplify -1/2 into -1/2 4.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.740 * [backup-simplify]: Simplify (+ 0 0) into 0 4.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 4.746 * [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 4.746 * [backup-simplify]: Simplify 1/3 into 1/3 4.747 * [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)))) 4.747 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 4.747 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 4.747 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 4.747 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.747 * [taylor]: Taking taylor expansion of -1 in N 4.747 * [backup-simplify]: Simplify -1 into -1 4.747 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.747 * [taylor]: Taking taylor expansion of N in N 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify 1 into 1 4.747 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.747 * [taylor]: Taking taylor expansion of 1 in N 4.747 * [backup-simplify]: Simplify 1 into 1 4.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.747 * [taylor]: Taking taylor expansion of N in N 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify 1 into 1 4.748 * [backup-simplify]: Simplify (/ 1 1) into 1 4.748 * [backup-simplify]: Simplify (- 1) into -1 4.749 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.749 * [backup-simplify]: Simplify (* 0 -1) into 0 4.750 * [backup-simplify]: Simplify (* -1 0) into 0 4.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.751 * [backup-simplify]: Simplify (- 0) into 0 4.751 * [backup-simplify]: Simplify (+ 1 0) into 1 4.751 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.752 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.752 * [backup-simplify]: Simplify (log 1) into 0 4.752 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 4.752 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.752 * [taylor]: Taking taylor expansion of -1 in N 4.752 * [backup-simplify]: Simplify -1 into -1 4.752 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.752 * [taylor]: Taking taylor expansion of N in N 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify 1 into 1 4.752 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.752 * [taylor]: Taking taylor expansion of 1 in N 4.752 * [backup-simplify]: Simplify 1 into 1 4.752 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.752 * [taylor]: Taking taylor expansion of N in N 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify 1 into 1 4.752 * [backup-simplify]: Simplify (/ 1 1) into 1 4.753 * [backup-simplify]: Simplify (- 1) into -1 4.753 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.753 * [backup-simplify]: Simplify (* 0 -1) into 0 4.753 * [backup-simplify]: Simplify (* -1 0) into 0 4.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.754 * [backup-simplify]: Simplify (- 0) into 0 4.754 * [backup-simplify]: Simplify (+ 1 0) into 1 4.755 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.755 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.755 * [backup-simplify]: Simplify (log 1) into 0 4.755 * [backup-simplify]: Simplify 0 into 0 4.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.756 * [backup-simplify]: Simplify (- 0) into 0 4.757 * [backup-simplify]: Simplify (+ 0 0) into 0 4.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.758 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.758 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 4.759 * [backup-simplify]: Simplify -1 into -1 4.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.759 * [backup-simplify]: Simplify (- 0) into 0 4.760 * [backup-simplify]: Simplify (+ 0 0) into 0 4.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 4.761 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 4.763 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.763 * [backup-simplify]: Simplify -1/2 into -1/2 4.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.763 * [backup-simplify]: Simplify (- 0) into 0 4.764 * [backup-simplify]: Simplify (+ 0 0) into 0 4.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 4.765 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 4.768 * [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 4.768 * [backup-simplify]: Simplify -1/3 into -1/3 4.768 * [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)))) 4.768 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.769 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 4.769 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 4.769 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.769 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.769 * [taylor]: Taking taylor expansion of N in N 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 1 into 1 4.769 * [taylor]: Taking taylor expansion of 1 in N 4.769 * [backup-simplify]: Simplify 1 into 1 4.769 * [taylor]: Taking taylor expansion of N in N 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 1 into 1 4.769 * [backup-simplify]: Simplify (+ 0 1) into 1 4.769 * [backup-simplify]: Simplify (/ 1 1) into 1 4.769 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 4.769 * [taylor]: Taking taylor expansion of (+ N 1) in N 4.769 * [taylor]: Taking taylor expansion of N in N 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 1 into 1 4.769 * [taylor]: Taking taylor expansion of 1 in N 4.769 * [backup-simplify]: Simplify 1 into 1 4.769 * [taylor]: Taking taylor expansion of N in N 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 1 into 1 4.770 * [backup-simplify]: Simplify (+ 0 1) into 1 4.770 * [backup-simplify]: Simplify (/ 1 1) into 1 4.770 * [backup-simplify]: Simplify 1 into 1 4.770 * [backup-simplify]: Simplify (+ 1 0) into 1 4.771 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 4.771 * [backup-simplify]: Simplify 1 into 1 4.771 * [backup-simplify]: Simplify (+ 0 0) into 0 4.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify (+ 0 0) into 0 4.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.772 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify (+ 0 0) into 0 4.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify (+ 0 0) into 0 4.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.774 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify (+ 0 0) into 0 4.775 * [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 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify (+ 0 0) into 0 4.776 * [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 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 4.776 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 4.776 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 4.776 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.776 * [taylor]: Taking taylor expansion of N in N 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify 1 into 1 4.776 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.776 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.776 * [taylor]: Taking taylor expansion of N in N 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify 1 into 1 4.776 * [backup-simplify]: Simplify (/ 1 1) into 1 4.776 * [taylor]: Taking taylor expansion of 1 in N 4.776 * [backup-simplify]: Simplify 1 into 1 4.776 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 4.776 * [taylor]: Taking taylor expansion of N in N 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify 1 into 1 4.776 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 4.776 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.776 * [taylor]: Taking taylor expansion of N in N 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify 1 into 1 4.777 * [backup-simplify]: Simplify (/ 1 1) into 1 4.777 * [taylor]: Taking taylor expansion of 1 in N 4.777 * [backup-simplify]: Simplify 1 into 1 4.777 * [backup-simplify]: Simplify (+ 1 0) into 1 4.777 * [backup-simplify]: Simplify (* 0 1) into 0 4.777 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.778 * [backup-simplify]: Simplify (+ 0 1) into 1 4.778 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 4.778 * [backup-simplify]: Simplify 1 into 1 4.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.780 * [backup-simplify]: Simplify (+ 0 0) into 0 4.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 4.781 * [backup-simplify]: Simplify 1 into 1 4.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.782 * [backup-simplify]: Simplify (+ 0 0) into 0 4.783 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 4.783 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.784 * [backup-simplify]: Simplify (+ 0 0) into 0 4.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 4.785 * [backup-simplify]: Simplify 0 into 0 4.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.787 * [backup-simplify]: Simplify (+ 0 0) into 0 4.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 4.788 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.790 * [backup-simplify]: Simplify (+ 0 0) into 0 4.791 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 4.791 * [backup-simplify]: Simplify 0 into 0 4.792 * [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 4.793 * [backup-simplify]: Simplify (+ 0 0) into 0 4.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 4.795 * [backup-simplify]: Simplify 0 into 0 4.796 * [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 4.796 * [backup-simplify]: Simplify (+ 0 0) into 0 4.798 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 4.798 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 4.798 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 4.798 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 4.798 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.798 * [taylor]: Taking taylor expansion of -1 in N 4.798 * [backup-simplify]: Simplify -1 into -1 4.798 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.798 * [taylor]: Taking taylor expansion of N in N 4.798 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify 1 into 1 4.799 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.799 * [taylor]: Taking taylor expansion of 1 in N 4.799 * [backup-simplify]: Simplify 1 into 1 4.799 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.799 * [taylor]: Taking taylor expansion of N in N 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify 1 into 1 4.799 * [backup-simplify]: Simplify (/ 1 1) into 1 4.799 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 4.799 * [taylor]: Taking taylor expansion of -1 in N 4.799 * [backup-simplify]: Simplify -1 into -1 4.799 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 4.799 * [taylor]: Taking taylor expansion of N in N 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify 1 into 1 4.799 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 4.799 * [taylor]: Taking taylor expansion of 1 in N 4.799 * [backup-simplify]: Simplify 1 into 1 4.799 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.799 * [taylor]: Taking taylor expansion of N in N 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify 1 into 1 4.800 * [backup-simplify]: Simplify (/ 1 1) into 1 4.800 * [backup-simplify]: Simplify (- 1) into -1 4.801 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.801 * [backup-simplify]: Simplify (* 0 -1) into 0 4.801 * [backup-simplify]: Simplify (* -1 0) into 0 4.801 * [backup-simplify]: Simplify 0 into 0 4.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.803 * [backup-simplify]: Simplify (- 0) into 0 4.803 * [backup-simplify]: Simplify (+ 1 0) into 1 4.804 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 4.804 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.804 * [backup-simplify]: Simplify 1 into 1 4.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.806 * [backup-simplify]: Simplify (- 0) into 0 4.806 * [backup-simplify]: Simplify (+ 0 0) into 0 4.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 4.808 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 4.808 * [backup-simplify]: Simplify -1 into -1 4.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.809 * [backup-simplify]: Simplify (- 0) into 0 4.810 * [backup-simplify]: Simplify (+ 0 0) into 0 4.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 4.813 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 4.813 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.814 * [backup-simplify]: Simplify (- 0) into 0 4.814 * [backup-simplify]: Simplify (+ 0 0) into 0 4.816 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 4.817 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 4.817 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.819 * [backup-simplify]: Simplify (- 0) into 0 4.819 * [backup-simplify]: Simplify (+ 0 0) into 0 4.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 4.823 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 4.823 * [backup-simplify]: Simplify 0 into 0 4.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.824 * [backup-simplify]: Simplify (- 0) into 0 4.824 * [backup-simplify]: Simplify (+ 0 0) into 0 4.826 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 4.828 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 4.828 * [backup-simplify]: Simplify 0 into 0 4.829 * [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 4.829 * [backup-simplify]: Simplify (- 0) into 0 4.830 * [backup-simplify]: Simplify (+ 0 0) into 0 4.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 4.834 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 4.834 * [backup-simplify]: Simplify 0 into 0 4.835 * [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 4.835 * [backup-simplify]: Simplify (- 0) into 0 4.836 * [backup-simplify]: Simplify (+ 0 0) into 0 4.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 4.840 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 4.840 * * * [progress]: simplifying candidates 4.840 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 4.840 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 4.841 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 4.842 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 4.842 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 4.842 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 4.842 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 4.842 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 4.842 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 4.842 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 4.842 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 4.842 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 4.842 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 4.842 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 4.842 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 4.842 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 4.842 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 4.842 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 4.842 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 4.842 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 4.843 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 4.843 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 4.843 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 4.843 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 4.843 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 4.843 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 4.843 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 4.843 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 4.843 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 4.843 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 4.843 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 4.843 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 4.843 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 4.843 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 4.843 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 4.843 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 4.844 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 4.844 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 4.844 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 4.844 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 4.844 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 4.844 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 4.844 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 4.844 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 4.844 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 4.844 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 4.844 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 4.844 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 4.844 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 4.844 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 4.844 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 4.844 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 4.846 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log 1) (log (/ (+ N 1) N)) (log (+ N 1)) (log (/ 1 N)) (log (+ N 1)) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (exp (log (/ (+ N 1) N))) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (- (log (+ N 1)) (log N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (/ (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (- (+ N 1)) (- N) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ N 1)) (sqrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1) (/ (cbrt (+ N 1)) N) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) 1) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (/ (+ N 1) 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (* N (+ (* N N) (- (* 1 1) (* N 1)))) (* N (- N 1)) (real->posit16 (/ (+ N 1) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 4.847 * * [simplify]: iteration 0: 102 enodes 4.894 * * [simplify]: iteration 1: 233 enodes 4.982 * * [simplify]: iteration 2: 620 enodes 5.199 * * [simplify]: iteration 3: 2000 enodes 5.646 * * [simplify]: iteration complete: 2000 enodes 5.646 * * [simplify]: Extracting #0: cost 66 inf + 0 5.646 * * [simplify]: Extracting #1: cost 319 inf + 2 5.650 * * [simplify]: Extracting #2: cost 729 inf + 490 5.662 * * [simplify]: Extracting #3: cost 517 inf + 38625 5.692 * * [simplify]: Extracting #4: cost 94 inf + 114118 5.716 * * [simplify]: Extracting #5: cost 8 inf + 130573 5.751 * * [simplify]: Extracting #6: cost 0 inf + 132597 5.791 * [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)) (/ (sqrt N) (cbrt (+ N 1))))) (log (/ (cbrt (+ N 1)) (sqrt N))) (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) (log (/ (cbrt (+ N 1)) N)) (log (/ (/ (sqrt (+ N 1)) (cbrt N)) (cbrt N))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N)) (- (- (log (cbrt N))) (log (cbrt N))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) (- (- (log (cbrt N))) (log (cbrt N))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) 0 (log (/ (+ N 1) N)) (log (+ N 1)) (- (log N)) (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)) (+ (- N) -1) (- N) (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1)))) (/ (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 (+ (- 1 N) (* N N))) (* (+ -1 N) N) (real->posit16 (/ (+ N 1) N)) (- (- N (log N)) (* 1/2 (* N N))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) 5.796 * * * [progress]: adding candidates to table 6.303 * * [progress]: iteration 4 / 4 6.303 * * * [progress]: picking best candidate 6.324 * * * * [pick]: Picked # 6.325 * * * [progress]: localizing error 6.366 * * * [progress]: generating rewritten candidates 6.366 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 6.404 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 6.433 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 6.444 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 6.458 * * * [progress]: generating series expansions 6.458 * * * * [progress]: [ 1 / 4 ] generating series at (2) 6.458 * [backup-simplify]: Simplify (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))) into (+ (log (* (+ N 1) (sqrt (/ 1 N)))) (log (sqrt (/ 1 N)))) 6.458 * [approximate]: Taking taylor expansion of (+ (log (* (+ N 1) (sqrt (/ 1 N)))) (log (sqrt (/ 1 N)))) in (N) around 0 6.458 * [taylor]: Taking taylor expansion of (+ (log (* (+ N 1) (sqrt (/ 1 N)))) (log (sqrt (/ 1 N)))) in N 6.459 * [taylor]: Taking taylor expansion of (log (* (+ N 1) (sqrt (/ 1 N)))) in N 6.459 * [taylor]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in N 6.459 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.459 * [taylor]: Taking taylor expansion of N in N 6.459 * [backup-simplify]: Simplify 0 into 0 6.459 * [backup-simplify]: Simplify 1 into 1 6.459 * [taylor]: Taking taylor expansion of 1 in N 6.459 * [backup-simplify]: Simplify 1 into 1 6.459 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.459 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.459 * [taylor]: Taking taylor expansion of N in N 6.459 * [backup-simplify]: Simplify 0 into 0 6.459 * [backup-simplify]: Simplify 1 into 1 6.460 * [backup-simplify]: Simplify (/ 1 1) into 1 6.460 * [backup-simplify]: Simplify (sqrt 0) into 0 6.462 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.463 * [backup-simplify]: Simplify (+ 0 1) into 1 6.463 * [backup-simplify]: Simplify (* 1 0) into 0 6.464 * [backup-simplify]: Simplify (+ 1 0) into 1 6.465 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1 0)) into (- +nan.0) 6.466 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.466 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 6.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.466 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.466 * [taylor]: Taking taylor expansion of N in N 6.466 * [backup-simplify]: Simplify 0 into 0 6.467 * [backup-simplify]: Simplify 1 into 1 6.467 * [backup-simplify]: Simplify (/ 1 1) into 1 6.467 * [backup-simplify]: Simplify (sqrt 0) into 0 6.469 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.469 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.469 * [taylor]: Taking taylor expansion of (+ (log (* (+ N 1) (sqrt (/ 1 N)))) (log (sqrt (/ 1 N)))) in N 6.469 * [taylor]: Taking taylor expansion of (log (* (+ N 1) (sqrt (/ 1 N)))) in N 6.469 * [taylor]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in N 6.469 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.469 * [taylor]: Taking taylor expansion of N in N 6.469 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify 1 into 1 6.469 * [taylor]: Taking taylor expansion of 1 in N 6.469 * [backup-simplify]: Simplify 1 into 1 6.469 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.469 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.469 * [taylor]: Taking taylor expansion of N in N 6.469 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify 1 into 1 6.470 * [backup-simplify]: Simplify (/ 1 1) into 1 6.470 * [backup-simplify]: Simplify (sqrt 0) into 0 6.471 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.471 * [backup-simplify]: Simplify (+ 0 1) into 1 6.472 * [backup-simplify]: Simplify (* 1 0) into 0 6.472 * [backup-simplify]: Simplify (+ 1 0) into 1 6.473 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1 0)) into (- +nan.0) 6.473 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.473 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 6.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.473 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.473 * [taylor]: Taking taylor expansion of N in N 6.473 * [backup-simplify]: Simplify 0 into 0 6.474 * [backup-simplify]: Simplify 1 into 1 6.474 * [backup-simplify]: Simplify (/ 1 1) into 1 6.474 * [backup-simplify]: Simplify (sqrt 0) into 0 6.475 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.475 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.476 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (log +nan.0)) into (+ (log (- +nan.0)) (log +nan.0)) 6.477 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (log +nan.0)) into (+ (log (- +nan.0)) (log +nan.0)) 6.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.480 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.480 * [backup-simplify]: Simplify (+ 0 0) into 0 6.482 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 6.486 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 6.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.489 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.492 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.492 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.493 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.496 * [backup-simplify]: Simplify (+ 0 0) into 0 6.498 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.512 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 6.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.523 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 6.523 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.524 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.525 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (+ (log (- +nan.0)) (log +nan.0)))) into (- (+ (log (- +nan.0)) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 6.525 * [backup-simplify]: Simplify (+ (log (/ 1 (sqrt (/ 1 N)))) (log (/ (+ (/ 1 N) 1) (sqrt (/ 1 N))))) into (+ (log (sqrt N)) (log (* (sqrt N) (+ (/ 1 N) 1)))) 6.525 * [approximate]: Taking taylor expansion of (+ (log (sqrt N)) (log (* (sqrt N) (+ (/ 1 N) 1)))) in (N) around 0 6.525 * [taylor]: Taking taylor expansion of (+ (log (sqrt N)) (log (* (sqrt N) (+ (/ 1 N) 1)))) in N 6.525 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 6.525 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.525 * [taylor]: Taking taylor expansion of N in N 6.525 * [backup-simplify]: Simplify 0 into 0 6.525 * [backup-simplify]: Simplify 1 into 1 6.526 * [backup-simplify]: Simplify (sqrt 0) into 0 6.526 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.527 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.527 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1))) in N 6.527 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in N 6.527 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.527 * [taylor]: Taking taylor expansion of N in N 6.527 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify 1 into 1 6.527 * [backup-simplify]: Simplify (sqrt 0) into 0 6.528 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.528 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.528 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.528 * [taylor]: Taking taylor expansion of N in N 6.528 * [backup-simplify]: Simplify 0 into 0 6.528 * [backup-simplify]: Simplify 1 into 1 6.528 * [backup-simplify]: Simplify (/ 1 1) into 1 6.528 * [taylor]: Taking taylor expansion of 1 in N 6.528 * [backup-simplify]: Simplify 1 into 1 6.529 * [backup-simplify]: Simplify (+ 1 0) into 1 6.529 * [backup-simplify]: Simplify (* 0 1) into 0 6.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.529 * [backup-simplify]: Simplify (+ 0 1) into 1 6.530 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1)) into (- +nan.0) 6.531 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.531 * [taylor]: Taking taylor expansion of (+ (log (sqrt N)) (log (* (sqrt N) (+ (/ 1 N) 1)))) in N 6.531 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 6.531 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.531 * [taylor]: Taking taylor expansion of N in N 6.531 * [backup-simplify]: Simplify 0 into 0 6.531 * [backup-simplify]: Simplify 1 into 1 6.531 * [backup-simplify]: Simplify (sqrt 0) into 0 6.532 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.532 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.532 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1))) in N 6.532 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in N 6.532 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.532 * [taylor]: Taking taylor expansion of N in N 6.532 * [backup-simplify]: Simplify 0 into 0 6.532 * [backup-simplify]: Simplify 1 into 1 6.533 * [backup-simplify]: Simplify (sqrt 0) into 0 6.533 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.533 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.533 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.533 * [taylor]: Taking taylor expansion of N in N 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify 1 into 1 6.534 * [backup-simplify]: Simplify (/ 1 1) into 1 6.534 * [taylor]: Taking taylor expansion of 1 in N 6.534 * [backup-simplify]: Simplify 1 into 1 6.534 * [backup-simplify]: Simplify (+ 1 0) into 1 6.534 * [backup-simplify]: Simplify (* 0 1) into 0 6.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.535 * [backup-simplify]: Simplify (+ 0 1) into 1 6.536 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1)) into (- +nan.0) 6.536 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.537 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 6.538 * [backup-simplify]: Simplify (+ (+ (log N) (log +nan.0)) (log (- +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 6.538 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 6.540 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.544 * [backup-simplify]: Simplify (+ 0 0) into 0 6.546 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1))) into (- +nan.0) 6.554 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 6.554 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.554 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.570 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 6.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.571 * [backup-simplify]: Simplify (+ 0 0) into 0 6.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1)))) into (- +nan.0) 6.586 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 6.586 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.586 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.588 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log (/ 1 N)) (log +nan.0))))) into (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 6.588 * [backup-simplify]: Simplify (+ (log (/ 1 (sqrt (/ 1 (- N))))) (log (/ (+ (/ 1 (- N)) 1) (sqrt (/ 1 (- N)))))) into (+ (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) (log (/ 1 (sqrt (/ -1 N))))) 6.588 * [approximate]: Taking taylor expansion of (+ (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) (log (/ 1 (sqrt (/ -1 N))))) in (N) around 0 6.588 * [taylor]: Taking taylor expansion of (+ (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) (log (/ 1 (sqrt (/ -1 N))))) in N 6.588 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) in N 6.588 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 6.588 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.588 * [taylor]: Taking taylor expansion of 1 in N 6.588 * [backup-simplify]: Simplify 1 into 1 6.588 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.588 * [taylor]: Taking taylor expansion of N in N 6.588 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify 1 into 1 6.588 * [backup-simplify]: Simplify (/ 1 1) into 1 6.588 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.588 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.588 * [taylor]: Taking taylor expansion of -1 in N 6.588 * [backup-simplify]: Simplify -1 into -1 6.588 * [taylor]: Taking taylor expansion of N in N 6.588 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify 1 into 1 6.589 * [backup-simplify]: Simplify (/ -1 1) into -1 6.589 * [backup-simplify]: Simplify (sqrt 0) into 0 6.590 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.590 * [backup-simplify]: Simplify (- 1) into -1 6.590 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.590 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 6.591 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.591 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 6.591 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 6.591 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.591 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.591 * [taylor]: Taking taylor expansion of -1 in N 6.591 * [backup-simplify]: Simplify -1 into -1 6.591 * [taylor]: Taking taylor expansion of N in N 6.591 * [backup-simplify]: Simplify 0 into 0 6.591 * [backup-simplify]: Simplify 1 into 1 6.591 * [backup-simplify]: Simplify (/ -1 1) into -1 6.591 * [backup-simplify]: Simplify (sqrt 0) into 0 6.592 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.592 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 6.593 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.593 * [taylor]: Taking taylor expansion of (+ (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) (log (/ 1 (sqrt (/ -1 N))))) in N 6.593 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) in N 6.593 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 6.593 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.593 * [taylor]: Taking taylor expansion of 1 in N 6.593 * [backup-simplify]: Simplify 1 into 1 6.593 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.593 * [taylor]: Taking taylor expansion of N in N 6.593 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify 1 into 1 6.598 * [backup-simplify]: Simplify (/ 1 1) into 1 6.598 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.598 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.598 * [taylor]: Taking taylor expansion of -1 in N 6.598 * [backup-simplify]: Simplify -1 into -1 6.598 * [taylor]: Taking taylor expansion of N in N 6.598 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify 1 into 1 6.599 * [backup-simplify]: Simplify (/ -1 1) into -1 6.600 * [backup-simplify]: Simplify (sqrt 0) into 0 6.601 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.602 * [backup-simplify]: Simplify (- 1) into -1 6.602 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.603 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 6.603 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.603 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 6.603 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 6.603 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.603 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.603 * [taylor]: Taking taylor expansion of -1 in N 6.603 * [backup-simplify]: Simplify -1 into -1 6.603 * [taylor]: Taking taylor expansion of N in N 6.603 * [backup-simplify]: Simplify 0 into 0 6.603 * [backup-simplify]: Simplify 1 into 1 6.604 * [backup-simplify]: Simplify (/ -1 1) into -1 6.604 * [backup-simplify]: Simplify (sqrt 0) into 0 6.605 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.606 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 6.606 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.607 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 6.608 * [backup-simplify]: Simplify (+ (- (log +nan.0) (log N)) (log +nan.0)) into (- (* 2 (log +nan.0)) (log N)) 6.609 * [backup-simplify]: Simplify (- (* 2 (log +nan.0)) (log N)) into (- (* 2 (log +nan.0)) (log N)) 6.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.610 * [backup-simplify]: Simplify (- 0) into 0 6.611 * [backup-simplify]: Simplify (+ 1 0) into 1 6.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.615 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.617 * [backup-simplify]: Simplify (- (/ 1 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.625 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.629 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.631 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.639 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.639 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.640 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.641 * [backup-simplify]: Simplify (- 0) into 0 6.641 * [backup-simplify]: Simplify (+ 0 0) into 0 6.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.647 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.651 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.669 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 6.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.678 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.695 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 6.695 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.695 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.697 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- (* 2 (log +nan.0)) (log (/ 1 (- N)))))) into (- (* 2 (log +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) 6.698 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 6.698 * [backup-simplify]: Simplify (/ (+ N 1) (sqrt N)) into (* (+ N 1) (sqrt (/ 1 N))) 6.698 * [approximate]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in (N) around 0 6.698 * [taylor]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in N 6.698 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.698 * [taylor]: Taking taylor expansion of N in N 6.698 * [backup-simplify]: Simplify 0 into 0 6.698 * [backup-simplify]: Simplify 1 into 1 6.698 * [taylor]: Taking taylor expansion of 1 in N 6.698 * [backup-simplify]: Simplify 1 into 1 6.698 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.698 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.698 * [taylor]: Taking taylor expansion of N in N 6.698 * [backup-simplify]: Simplify 0 into 0 6.698 * [backup-simplify]: Simplify 1 into 1 6.699 * [backup-simplify]: Simplify (/ 1 1) into 1 6.699 * [backup-simplify]: Simplify (sqrt 0) into 0 6.701 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.701 * [taylor]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in N 6.701 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.701 * [taylor]: Taking taylor expansion of N in N 6.701 * [backup-simplify]: Simplify 0 into 0 6.701 * [backup-simplify]: Simplify 1 into 1 6.701 * [taylor]: Taking taylor expansion of 1 in N 6.701 * [backup-simplify]: Simplify 1 into 1 6.701 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.701 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.701 * [taylor]: Taking taylor expansion of N in N 6.701 * [backup-simplify]: Simplify 0 into 0 6.701 * [backup-simplify]: Simplify 1 into 1 6.701 * [backup-simplify]: Simplify (/ 1 1) into 1 6.702 * [backup-simplify]: Simplify (sqrt 0) into 0 6.703 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.704 * [backup-simplify]: Simplify (+ 0 1) into 1 6.704 * [backup-simplify]: Simplify (* 1 0) into 0 6.704 * [backup-simplify]: Simplify 0 into 0 6.705 * [backup-simplify]: Simplify (+ 1 0) into 1 6.706 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1 0)) into (- +nan.0) 6.707 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.711 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.711 * [backup-simplify]: Simplify (+ 0 0) into 0 6.714 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 6.714 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.720 * [backup-simplify]: Simplify (+ 0 0) into 0 6.723 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.724 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.725 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 6.726 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (sqrt (/ 1 N))) into (* (sqrt N) (+ (/ 1 N) 1)) 6.726 * [approximate]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in (N) around 0 6.726 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in N 6.726 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.726 * [taylor]: Taking taylor expansion of N in N 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [backup-simplify]: Simplify 1 into 1 6.726 * [backup-simplify]: Simplify (sqrt 0) into 0 6.728 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.728 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.728 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.728 * [taylor]: Taking taylor expansion of N in N 6.728 * [backup-simplify]: Simplify 0 into 0 6.728 * [backup-simplify]: Simplify 1 into 1 6.728 * [backup-simplify]: Simplify (/ 1 1) into 1 6.728 * [taylor]: Taking taylor expansion of 1 in N 6.728 * [backup-simplify]: Simplify 1 into 1 6.728 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in N 6.728 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.728 * [taylor]: Taking taylor expansion of N in N 6.728 * [backup-simplify]: Simplify 0 into 0 6.728 * [backup-simplify]: Simplify 1 into 1 6.729 * [backup-simplify]: Simplify (sqrt 0) into 0 6.730 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.730 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.730 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.730 * [taylor]: Taking taylor expansion of N in N 6.730 * [backup-simplify]: Simplify 0 into 0 6.730 * [backup-simplify]: Simplify 1 into 1 6.731 * [backup-simplify]: Simplify (/ 1 1) into 1 6.731 * [taylor]: Taking taylor expansion of 1 in N 6.731 * [backup-simplify]: Simplify 1 into 1 6.731 * [backup-simplify]: Simplify (+ 1 0) into 1 6.732 * [backup-simplify]: Simplify (* 0 1) into 0 6.732 * [backup-simplify]: Simplify 0 into 0 6.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.733 * [backup-simplify]: Simplify (+ 0 1) into 1 6.735 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1)) into (- +nan.0) 6.735 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.736 * [backup-simplify]: Simplify (+ 0 0) into 0 6.739 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1))) into (- +nan.0) 6.749 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.750 * [backup-simplify]: Simplify (+ 0 0) into 0 6.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1)))) into (- +nan.0) 6.759 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.760 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 6.760 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (sqrt (/ 1 (- N)))) into (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) 6.760 * [approximate]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in (N) around 0 6.760 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 6.761 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.761 * [taylor]: Taking taylor expansion of 1 in N 6.761 * [backup-simplify]: Simplify 1 into 1 6.761 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.761 * [taylor]: Taking taylor expansion of N in N 6.761 * [backup-simplify]: Simplify 0 into 0 6.761 * [backup-simplify]: Simplify 1 into 1 6.761 * [backup-simplify]: Simplify (/ 1 1) into 1 6.761 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.761 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.761 * [taylor]: Taking taylor expansion of -1 in N 6.761 * [backup-simplify]: Simplify -1 into -1 6.761 * [taylor]: Taking taylor expansion of N in N 6.761 * [backup-simplify]: Simplify 0 into 0 6.761 * [backup-simplify]: Simplify 1 into 1 6.762 * [backup-simplify]: Simplify (/ -1 1) into -1 6.762 * [backup-simplify]: Simplify (sqrt 0) into 0 6.763 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.764 * [backup-simplify]: Simplify (- 1) into -1 6.764 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.765 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 6.765 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 6.765 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.765 * [taylor]: Taking taylor expansion of 1 in N 6.765 * [backup-simplify]: Simplify 1 into 1 6.765 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.765 * [taylor]: Taking taylor expansion of N in N 6.765 * [backup-simplify]: Simplify 0 into 0 6.765 * [backup-simplify]: Simplify 1 into 1 6.765 * [backup-simplify]: Simplify (/ 1 1) into 1 6.765 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.765 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.765 * [taylor]: Taking taylor expansion of -1 in N 6.765 * [backup-simplify]: Simplify -1 into -1 6.766 * [taylor]: Taking taylor expansion of N in N 6.766 * [backup-simplify]: Simplify 0 into 0 6.766 * [backup-simplify]: Simplify 1 into 1 6.766 * [backup-simplify]: Simplify (/ -1 1) into -1 6.766 * [backup-simplify]: Simplify (sqrt 0) into 0 6.768 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.768 * [backup-simplify]: Simplify (- 1) into -1 6.769 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.769 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 6.769 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.770 * [backup-simplify]: Simplify (- 0) into 0 6.771 * [backup-simplify]: Simplify (+ 1 0) into 1 6.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.775 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.777 * [backup-simplify]: Simplify (- (/ 1 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.778 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.779 * [backup-simplify]: Simplify (- 0) into 0 6.779 * [backup-simplify]: Simplify (+ 0 0) into 0 6.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.789 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.789 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.790 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- N))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) 6.791 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 6.791 * [backup-simplify]: Simplify (/ 1 (sqrt N)) into (sqrt (/ 1 N)) 6.791 * [approximate]: Taking taylor expansion of (sqrt (/ 1 N)) in (N) around 0 6.791 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.791 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.791 * [taylor]: Taking taylor expansion of N in N 6.791 * [backup-simplify]: Simplify 0 into 0 6.791 * [backup-simplify]: Simplify 1 into 1 6.791 * [backup-simplify]: Simplify (/ 1 1) into 1 6.792 * [backup-simplify]: Simplify (sqrt 0) into 0 6.793 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.793 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.793 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.793 * [taylor]: Taking taylor expansion of N in N 6.793 * [backup-simplify]: Simplify 0 into 0 6.793 * [backup-simplify]: Simplify 1 into 1 6.793 * [backup-simplify]: Simplify (/ 1 1) into 1 6.794 * [backup-simplify]: Simplify (sqrt 0) into 0 6.795 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.799 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.799 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.804 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.804 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.804 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 6.804 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 N))) into (sqrt N) 6.805 * [approximate]: Taking taylor expansion of (sqrt N) in (N) around 0 6.805 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.805 * [taylor]: Taking taylor expansion of N in N 6.805 * [backup-simplify]: Simplify 0 into 0 6.805 * [backup-simplify]: Simplify 1 into 1 6.805 * [backup-simplify]: Simplify (sqrt 0) into 0 6.806 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.806 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.806 * [taylor]: Taking taylor expansion of N in N 6.807 * [backup-simplify]: Simplify 0 into 0 6.807 * [backup-simplify]: Simplify 1 into 1 6.807 * [backup-simplify]: Simplify (sqrt 0) into 0 6.808 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.808 * [backup-simplify]: Simplify 0 into 0 6.808 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.812 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.812 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.816 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.817 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 3)) (+ (* +nan.0 (pow (/ 1 N) 2)) (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 6.817 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- N)))) into (/ 1 (sqrt (/ -1 N))) 6.817 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in (N) around 0 6.817 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 6.817 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.817 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.817 * [taylor]: Taking taylor expansion of -1 in N 6.817 * [backup-simplify]: Simplify -1 into -1 6.817 * [taylor]: Taking taylor expansion of N in N 6.817 * [backup-simplify]: Simplify 0 into 0 6.817 * [backup-simplify]: Simplify 1 into 1 6.817 * [backup-simplify]: Simplify (/ -1 1) into -1 6.818 * [backup-simplify]: Simplify (sqrt 0) into 0 6.819 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.820 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 6.820 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 6.820 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.820 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.820 * [taylor]: Taking taylor expansion of -1 in N 6.820 * [backup-simplify]: Simplify -1 into -1 6.820 * [taylor]: Taking taylor expansion of N in N 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify 1 into 1 6.820 * [backup-simplify]: Simplify (/ -1 1) into -1 6.821 * [backup-simplify]: Simplify (sqrt 0) into 0 6.822 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.822 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 6.823 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.826 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.829 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.829 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.834 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.838 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.838 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.839 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 6.840 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 6.840 * [backup-simplify]: Simplify (log (/ (+ N 1) (sqrt N))) into (log (* (+ N 1) (sqrt (/ 1 N)))) 6.840 * [approximate]: Taking taylor expansion of (log (* (+ N 1) (sqrt (/ 1 N)))) in (N) around 0 6.840 * [taylor]: Taking taylor expansion of (log (* (+ N 1) (sqrt (/ 1 N)))) in N 6.840 * [taylor]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in N 6.840 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.840 * [taylor]: Taking taylor expansion of N in N 6.840 * [backup-simplify]: Simplify 0 into 0 6.840 * [backup-simplify]: Simplify 1 into 1 6.840 * [taylor]: Taking taylor expansion of 1 in N 6.840 * [backup-simplify]: Simplify 1 into 1 6.840 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.840 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.840 * [taylor]: Taking taylor expansion of N in N 6.840 * [backup-simplify]: Simplify 0 into 0 6.840 * [backup-simplify]: Simplify 1 into 1 6.840 * [backup-simplify]: Simplify (/ 1 1) into 1 6.841 * [backup-simplify]: Simplify (sqrt 0) into 0 6.842 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.843 * [backup-simplify]: Simplify (+ 0 1) into 1 6.843 * [backup-simplify]: Simplify (* 1 0) into 0 6.843 * [backup-simplify]: Simplify (+ 1 0) into 1 6.845 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1 0)) into (- +nan.0) 6.846 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.846 * [taylor]: Taking taylor expansion of (log (* (+ N 1) (sqrt (/ 1 N)))) in N 6.846 * [taylor]: Taking taylor expansion of (* (+ N 1) (sqrt (/ 1 N))) in N 6.846 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.846 * [taylor]: Taking taylor expansion of N in N 6.846 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify 1 into 1 6.846 * [taylor]: Taking taylor expansion of 1 in N 6.846 * [backup-simplify]: Simplify 1 into 1 6.846 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.846 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.846 * [taylor]: Taking taylor expansion of N in N 6.846 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify 1 into 1 6.847 * [backup-simplify]: Simplify (/ 1 1) into 1 6.847 * [backup-simplify]: Simplify (sqrt 0) into 0 6.848 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.849 * [backup-simplify]: Simplify (+ 0 1) into 1 6.849 * [backup-simplify]: Simplify (* 1 0) into 0 6.850 * [backup-simplify]: Simplify (+ 1 0) into 1 6.851 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* 1 0)) into (- +nan.0) 6.852 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.853 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.857 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.858 * [backup-simplify]: Simplify (+ 0 0) into 0 6.860 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 6.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 6.869 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.874 * [backup-simplify]: Simplify (+ 0 0) into 0 6.877 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.901 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 6.902 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.903 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log (- +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 6.903 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (sqrt (/ 1 N)))) into (log (* (sqrt N) (+ (/ 1 N) 1))) 6.903 * [approximate]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1))) in (N) around 0 6.903 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1))) in N 6.903 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in N 6.903 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.903 * [taylor]: Taking taylor expansion of N in N 6.903 * [backup-simplify]: Simplify 0 into 0 6.903 * [backup-simplify]: Simplify 1 into 1 6.904 * [backup-simplify]: Simplify (sqrt 0) into 0 6.905 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.905 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.905 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.905 * [taylor]: Taking taylor expansion of N in N 6.906 * [backup-simplify]: Simplify 0 into 0 6.906 * [backup-simplify]: Simplify 1 into 1 6.906 * [backup-simplify]: Simplify (/ 1 1) into 1 6.906 * [taylor]: Taking taylor expansion of 1 in N 6.906 * [backup-simplify]: Simplify 1 into 1 6.906 * [backup-simplify]: Simplify (+ 1 0) into 1 6.907 * [backup-simplify]: Simplify (* 0 1) into 0 6.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.909 * [backup-simplify]: Simplify (+ 0 1) into 1 6.910 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1)) into (- +nan.0) 6.911 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.911 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1))) in N 6.911 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1)) in N 6.911 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.911 * [taylor]: Taking taylor expansion of N in N 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify 1 into 1 6.912 * [backup-simplify]: Simplify (sqrt 0) into 0 6.913 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.913 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.913 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.913 * [taylor]: Taking taylor expansion of N in N 6.913 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify 1 into 1 6.914 * [backup-simplify]: Simplify (/ 1 1) into 1 6.914 * [taylor]: Taking taylor expansion of 1 in N 6.914 * [backup-simplify]: Simplify 1 into 1 6.914 * [backup-simplify]: Simplify (+ 1 0) into 1 6.915 * [backup-simplify]: Simplify (* 0 1) into 0 6.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.916 * [backup-simplify]: Simplify (+ 0 1) into 1 6.918 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1)) into (- +nan.0) 6.919 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.920 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.921 * [backup-simplify]: Simplify (+ 0 0) into 0 6.924 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1))) into (- +nan.0) 6.936 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 6.936 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.937 * [backup-simplify]: Simplify (+ 0 0) into 0 6.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1)))) into (- +nan.0) 6.955 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 6.955 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.956 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log (- +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 6.956 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (sqrt (/ 1 (- N))))) into (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) 6.956 * [approximate]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) in (N) around 0 6.956 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) in N 6.956 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 6.956 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.956 * [taylor]: Taking taylor expansion of 1 in N 6.956 * [backup-simplify]: Simplify 1 into 1 6.956 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.957 * [taylor]: Taking taylor expansion of N in N 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 1 into 1 6.957 * [backup-simplify]: Simplify (/ 1 1) into 1 6.957 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.957 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.957 * [taylor]: Taking taylor expansion of -1 in N 6.957 * [backup-simplify]: Simplify -1 into -1 6.957 * [taylor]: Taking taylor expansion of N in N 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 1 into 1 6.957 * [backup-simplify]: Simplify (/ -1 1) into -1 6.957 * [backup-simplify]: Simplify (sqrt 0) into 0 6.958 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.959 * [backup-simplify]: Simplify (- 1) into -1 6.959 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.959 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 6.959 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.959 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) (sqrt (/ -1 N)))) in N 6.959 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) (sqrt (/ -1 N))) in N 6.960 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.960 * [taylor]: Taking taylor expansion of 1 in N 6.960 * [backup-simplify]: Simplify 1 into 1 6.960 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.960 * [taylor]: Taking taylor expansion of N in N 6.960 * [backup-simplify]: Simplify 0 into 0 6.960 * [backup-simplify]: Simplify 1 into 1 6.960 * [backup-simplify]: Simplify (/ 1 1) into 1 6.960 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.960 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.960 * [taylor]: Taking taylor expansion of -1 in N 6.960 * [backup-simplify]: Simplify -1 into -1 6.960 * [taylor]: Taking taylor expansion of N in N 6.960 * [backup-simplify]: Simplify 0 into 0 6.960 * [backup-simplify]: Simplify 1 into 1 6.960 * [backup-simplify]: Simplify (/ -1 1) into -1 6.960 * [backup-simplify]: Simplify (sqrt 0) into 0 6.961 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.961 * [backup-simplify]: Simplify (- 1) into -1 6.962 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.962 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 6.962 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.963 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 6.963 * [backup-simplify]: Simplify (- (log +nan.0) (log N)) into (- (log +nan.0) (log N)) 6.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.964 * [backup-simplify]: Simplify (- 0) into 0 6.964 * [backup-simplify]: Simplify (+ 1 0) into 1 6.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.967 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.968 * [backup-simplify]: Simplify (- (/ 1 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.973 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.973 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.974 * [backup-simplify]: Simplify (- 0) into 0 6.975 * [backup-simplify]: Simplify (+ 0 0) into 0 6.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.980 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.990 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 6.990 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.990 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (- (log +nan.0) (log (/ 1 (- N)))))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) 6.990 * * * [progress]: simplifying candidates 6.990 * * * * [progress]: [ 1 / 215 ] simplifiying candidate # 6.990 * * * * [progress]: [ 2 / 215 ] simplifiying candidate # 6.990 * * * * [progress]: [ 3 / 215 ] simplifiying candidate # 6.990 * * * * [progress]: [ 4 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 5 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 6 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 7 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 8 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 9 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 10 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 11 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 12 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 13 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 14 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 15 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 16 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 17 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 18 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 19 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 20 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 21 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 22 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 23 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 24 / 215 ] simplifiying candidate # 6.991 * * * * [progress]: [ 25 / 215 ] 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[progress]: [ 207 / 215 ] simplifiying candidate # 6.999 * * * * [progress]: [ 208 / 215 ] simplifiying candidate # 6.999 * * * * [progress]: [ 209 / 215 ] simplifiying candidate # 6.999 * * * * [progress]: [ 210 / 215 ] simplifiying candidate # 6.999 * * * * [progress]: [ 211 / 215 ] simplifiying candidate # 6.999 * * * * [progress]: [ 212 / 215 ] simplifiying candidate # 6.999 * * * * [progress]: [ 213 / 215 ] simplifiying candidate # 6.999 * * * * [progress]: [ 214 / 215 ] simplifiying candidate # 6.999 * * * * [progress]: [ 215 / 215 ] simplifiying candidate # 7.007 * [simplify]: Simplifying: (* (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N))) (log (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))))) (exp (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))))) (* (cbrt (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))))) (cbrt (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))))) (cbrt (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))))) (* (* (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))))) (sqrt (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))))) (sqrt (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))))) (+ (pow (log (/ 1 (sqrt N))) 3) (pow (log (/ (+ N 1) (sqrt N))) 3)) (+ (* (log (/ 1 (sqrt N))) (log (/ 1 (sqrt N)))) (- (* (log (/ (+ N 1) (sqrt N))) (log (/ (+ N 1) (sqrt N)))) (* (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))))) (- (* (log (/ 1 (sqrt N))) (log (/ 1 (sqrt N)))) (* (log (/ (+ N 1) (sqrt N))) (log (/ (+ N 1) (sqrt N))))) (- (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (* (cbrt (/ (+ N 1) (sqrt N))) (cbrt (/ (+ N 1) (sqrt N)))))) (+ (log (/ 1 (sqrt N))) (log (sqrt (/ (+ N 1) (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (log (/ 1 (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt (* (cbrt N) (cbrt N)))))) (+ (log (/ 1 (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt 1)))) (+ (log (/ 1 (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1))) (+ (log (/ 1 (sqrt N))) (log (/ (sqrt (+ N 1)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (log (/ 1 (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt (* (cbrt N) (cbrt N)))))) (+ (log (/ 1 (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt 1)))) (+ (log (/ 1 (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ (sqrt (+ N 1)) 1))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ 1 1))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ 1 1))) (+ (log (/ 1 (sqrt N))) (log 1)) (+ (log (/ 1 (sqrt N))) (log (+ N 1))) (+ (log (cbrt (/ 1 (sqrt N)))) (log (/ (+ N 1) (sqrt N)))) (+ (log (sqrt (/ 1 (sqrt N)))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ (cbrt 1) (cbrt (sqrt N)))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ (cbrt 1) (sqrt (cbrt N)))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ (cbrt 1) (sqrt (sqrt N)))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ (cbrt 1) (sqrt N))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ (cbrt 1) (sqrt (sqrt N)))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ (cbrt 1) (sqrt N))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ (sqrt 1) (cbrt (sqrt N)))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ (sqrt 1) (sqrt (cbrt N)))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ (sqrt 1) (sqrt N))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ (sqrt 1) (sqrt (sqrt N)))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ (sqrt 1) (sqrt N))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ 1 (cbrt (sqrt N)))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ 1 (sqrt (cbrt N)))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ 1 (sqrt (sqrt N)))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ 1 (sqrt (sqrt N)))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (+ N 1))) (- (log (sqrt N)) (log (/ (+ N 1) (sqrt N)))) (real->posit16 (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))))) (- (log (+ N 1)) (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) (exp (/ (+ N 1) (sqrt N))) (/ (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* (sqrt N) (sqrt N)) (sqrt N))) (* (cbrt (/ (+ N 1) (sqrt N))) (cbrt (/ (+ N 1) (sqrt N)))) (cbrt (/ (+ N 1) (sqrt N))) (* (* (/ (+ N 1) (sqrt N)) (/ (+ N 1) (sqrt N))) (/ (+ N 1) (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) (- (+ N 1)) (- (sqrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (cbrt (+ N 1)) (cbrt (sqrt N))) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt (* (cbrt N) (cbrt N)))) (/ (cbrt (+ N 1)) (sqrt (cbrt N))) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt (sqrt N))) (/ (cbrt (+ N 1)) (sqrt (sqrt N))) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt 1)) (/ (cbrt (+ N 1)) (sqrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt (sqrt N))) (/ (cbrt (+ N 1)) (sqrt (sqrt N))) (/ (* (cbrt (+ N 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+nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (log (- +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) 7.011 * * [simplify]: iteration 0: 271 enodes 7.148 * * [simplify]: iteration 1: 606 enodes 7.340 * * [simplify]: iteration 2: 1519 enodes 7.715 * * [simplify]: iteration 3: 2002 enodes 8.098 * * [simplify]: iteration complete: 2002 enodes 8.098 * * [simplify]: Extracting #0: cost 129 inf + 0 8.100 * * [simplify]: Extracting #1: cost 421 inf + 4 8.104 * * [simplify]: Extracting #2: cost 586 inf + 1649 8.111 * * [simplify]: Extracting #3: cost 384 inf + 36072 8.127 * * [simplify]: Extracting #4: cost 82 inf + 115142 8.152 * * [simplify]: Extracting #5: cost 19 inf + 135845 8.188 * * [simplify]: Extracting #6: cost 15 inf + 137726 8.230 * * [simplify]: Extracting #7: cost 4 inf + 139693 8.263 * * [simplify]: Extracting #8: cost 0 inf + 140705 8.290 * [simplify]: Simplified to: (/ (/ (+ N 1) (sqrt N)) (sqrt N)) (log (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (/ (/ (+ N 1) (sqrt N)) (sqrt N)) (* (cbrt (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (cbrt (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))))) (cbrt (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (* (* (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (sqrt (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (sqrt (- (log (/ (+ N 1) (sqrt N))) (log (sqrt N)))) (+ (* (log (/ (+ N 1) (sqrt N))) (* (log (/ (+ N 1) (sqrt N))) (log (/ (+ N 1) (sqrt 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[regimes]: Trying to branch on (- (log (+ N 1)) (log N)) from (# # # # # # #) 10.415 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 10.465 * * * [regime]: Found split indices: #