21.566 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.123 * * * [progress]: [2/2] Setting up program. 0.127 * [progress]: [Phase 2 of 3] Improving. 0.128 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.128 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.128 * * [simplify]: iteration 1: (6 enodes) 0.130 * * [simplify]: iteration 2: (11 enodes) 0.133 * * [simplify]: iteration 3: (12 enodes) 0.136 * * [simplify]: Extracting #0: cost 1 inf + 0 0.137 * * [simplify]: Extracting #1: cost 4 inf + 0 0.137 * * [simplify]: Extracting #2: cost 6 inf + 0 0.137 * * [simplify]: Extracting #3: cost 4 inf + 183 0.137 * * [simplify]: Extracting #4: cost 0 inf + 560 0.137 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.143 * * [progress]: iteration 1 / 4 0.143 * * * [progress]: picking best candidate 0.147 * * * * [pick]: Picked # 0.148 * * * [progress]: localizing error 0.172 * * * [progress]: generating rewritten candidates 0.172 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.189 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.197 * * * [progress]: generating series expansions 0.197 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.197 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.197 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.197 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.197 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.197 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of 1 in N 0.197 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (+ 0 1) into 1 0.199 * [backup-simplify]: Simplify (log 1) into 0 0.199 * [taylor]: Taking taylor expansion of (log N) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (log 1) into 0 0.199 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.199 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.199 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [taylor]: Taking taylor expansion of 1 in N 0.199 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (+ 0 1) into 1 0.200 * [backup-simplify]: Simplify (log 1) into 0 0.200 * [taylor]: Taking taylor expansion of (log N) in N 0.200 * [taylor]: Taking taylor expansion of N in N 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (log 1) into 0 0.202 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.202 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.202 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.202 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.203 * [backup-simplify]: Simplify (+ 1 0) into 1 0.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.206 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.214 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.215 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.215 * [backup-simplify]: Simplify -1/2 into -1/2 0.215 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.216 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.216 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.216 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.216 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [taylor]: Taking taylor expansion of 1 in N 0.216 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (+ 1 0) into 1 0.217 * [backup-simplify]: Simplify (log 1) into 0 0.217 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.217 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify (log 1) into 0 0.218 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.218 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.218 * [taylor]: Taking taylor expansion of N in N 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [taylor]: Taking taylor expansion of 1 in N 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (+ 1 0) into 1 0.219 * [backup-simplify]: Simplify (log 1) into 0 0.219 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [backup-simplify]: Simplify (log 1) into 0 0.221 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.221 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.221 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.221 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ 0 1) into 1 0.224 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.243 * [backup-simplify]: Simplify (+ 1 0) into 1 0.244 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.252 * [backup-simplify]: Simplify -1/2 into -1/2 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [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 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.260 * [backup-simplify]: Simplify 1/3 into 1/3 0.261 * [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)))) 0.261 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.261 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.261 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.261 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.261 * [taylor]: Taking taylor expansion of (- 1 (/ 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 (/ 1 N) in N 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 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [backup-simplify]: Simplify (- 1) into -1 0.262 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.262 * [backup-simplify]: Simplify (log -1) into (log -1) 0.262 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.262 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.262 * [taylor]: Taking taylor expansion of -1 in N 0.262 * [backup-simplify]: Simplify -1 into -1 0.262 * [taylor]: Taking taylor expansion of N in N 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (/ -1 1) into -1 0.263 * [backup-simplify]: Simplify (log -1) into (log -1) 0.263 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.263 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.263 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.263 * [taylor]: Taking taylor expansion of 1 in N 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.263 * [taylor]: Taking taylor expansion of N in N 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [backup-simplify]: Simplify (- 1) into -1 0.264 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.264 * [backup-simplify]: Simplify (log -1) into (log -1) 0.264 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.264 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.264 * [taylor]: Taking taylor expansion of -1 in N 0.264 * [backup-simplify]: Simplify -1 into -1 0.264 * [taylor]: Taking taylor expansion of N in N 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ -1 1) into -1 0.264 * [backup-simplify]: Simplify (log -1) into (log -1) 0.265 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.266 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.266 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.266 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.270 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (+ -1 0) into -1 0.270 * [backup-simplify]: Simplify -1 into -1 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.278 * [backup-simplify]: Simplify -1/2 into -1/2 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [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 0.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [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 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.291 * [backup-simplify]: Simplify -1/3 into -1/3 0.292 * [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)))) 0.292 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.292 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.292 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.292 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.292 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.292 * [taylor]: Taking taylor expansion of N in N 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of 1 in N 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (+ 0 1) into 1 0.293 * [backup-simplify]: Simplify (log 1) into 0 0.293 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.293 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.293 * [taylor]: Taking taylor expansion of N in N 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [taylor]: Taking taylor expansion of 1 in N 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (+ 0 1) into 1 0.294 * [backup-simplify]: Simplify (log 1) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ 1 0) into 1 0.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.300 * [backup-simplify]: Simplify -1/2 into -1/2 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [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 0.304 * [backup-simplify]: Simplify 1/3 into 1/3 0.305 * [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))) 0.305 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.305 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.305 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.305 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.305 * [taylor]: Taking taylor expansion of N in N 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [taylor]: Taking taylor expansion of 1 in N 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (+ 1 0) into 1 0.306 * [backup-simplify]: Simplify (log 1) into 0 0.306 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.306 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [taylor]: Taking taylor expansion of 1 in N 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (+ 1 0) into 1 0.307 * [backup-simplify]: Simplify (log 1) into 0 0.307 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.307 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ 0 1) into 1 0.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.311 * [backup-simplify]: Simplify -1/2 into -1/2 0.311 * [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)))) 0.311 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.311 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.311 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.311 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.311 * [taylor]: Taking taylor expansion of 1 in N 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.311 * [taylor]: Taking taylor expansion of N in N 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [backup-simplify]: Simplify (- 1) into -1 0.312 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.312 * [backup-simplify]: Simplify (log -1) into (log -1) 0.312 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.312 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.312 * [taylor]: Taking taylor expansion of 1 in N 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.312 * [taylor]: Taking taylor expansion of N in N 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (- 1) into -1 0.313 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.313 * [backup-simplify]: Simplify (log -1) into (log -1) 0.314 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.314 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 1 0) into 1 0.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.316 * [backup-simplify]: Simplify -1 into -1 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.319 * [backup-simplify]: Simplify -1/2 into -1/2 0.319 * [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)))) 0.319 * * * [progress]: simplifying candidates 0.319 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.319 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.319 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.319 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.319 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.319 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.319 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.319 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 16 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.320 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.320 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.321 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.321 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.321 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.321 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.321 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.321 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.321 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.321 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.321 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.321 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.321 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.321 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.321 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.321 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.321 * [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)))) 0.322 * * [simplify]: iteration 1: (97 enodes) 0.354 * * [simplify]: iteration 2: (195 enodes) 0.444 * * [simplify]: iteration 3: (414 enodes) 0.594 * * [simplify]: iteration 4: (1186 enodes) 1.524 * * [simplify]: Extracting #0: cost 41 inf + 0 1.524 * * [simplify]: Extracting #1: cost 298 inf + 1 1.527 * * [simplify]: Extracting #2: cost 651 inf + 3251 1.534 * * [simplify]: Extracting #3: cost 496 inf + 29738 1.556 * * [simplify]: Extracting #4: cost 207 inf + 96658 1.587 * * [simplify]: Extracting #5: cost 27 inf + 150402 1.634 * * [simplify]: Extracting #6: cost 0 inf + 160630 1.675 * [simplify]: Simplified to: (/ (+ 1 N) N) (log (- (log (+ 1 N)) (log N))) (/ (+ 1 N) N) (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) (cbrt (- (log (+ 1 N)) (log N))) (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (- (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (* (log N) (* (log N) (log N)))) (+ (* (log N) (+ (log (+ 1 N)) (log N))) (* (log (+ 1 N)) (log (+ 1 N)))) (- (log N)) (* (- (log (+ 1 N)) (log N)) (+ (log (+ 1 N)) (log N))) (+ (log (+ 1 N)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log (* (cbrt N) (cbrt N)))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (+ (- (* N N) N) 1)) (log N)) (+ (log N) (log (- N 1))) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (+ 1 N)) 0 (log (+ 1 N)) (log (+ 1 (* N (* N N)))) (log (+ (- (* N N) N) 1)) (log (- (* N N) 1)) (log (- N 1)) (log (+ 1 N)) (log (log (+ 1 N))) (+ 1 N) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (log (+ 1 N))) (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N))) (real->posit16 (log (+ 1 N))) (- (- N (log N)) (* (* N N) 1/2)) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (* (* N N) (+ (* N 1/3) -1/2)) N) (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) 1.677 * * * [progress]: adding candidates to table 2.147 * * [progress]: iteration 2 / 4 2.147 * * * [progress]: picking best candidate 2.153 * * * * [pick]: Picked # 2.153 * * * [progress]: localizing error 2.175 * * * [progress]: generating rewritten candidates 2.175 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.249 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.256 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 2.268 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.279 * * * [progress]: generating series expansions 2.280 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.280 * [backup-simplify]: Simplify (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.280 * [approximate]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 2.280 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 2.280 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 2.280 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 2.280 * [taylor]: Taking taylor expansion of 1/3 in N 2.280 * [backup-simplify]: Simplify 1/3 into 1/3 2.280 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.280 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.280 * [taylor]: Taking taylor expansion of N in N 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.281 * [backup-simplify]: Simplify (* 1 1) into 1 2.281 * [backup-simplify]: Simplify (* 1 1) into 1 2.282 * [backup-simplify]: Simplify (/ 1 1) into 1 2.282 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.282 * [taylor]: Taking taylor expansion of N in N 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [backup-simplify]: Simplify (/ 1 1) into 1 2.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 2.282 * [taylor]: Taking taylor expansion of 1/2 in N 2.282 * [backup-simplify]: Simplify 1/2 into 1/2 2.282 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.282 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.282 * [taylor]: Taking taylor expansion of N in N 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.283 * [backup-simplify]: Simplify (* 1 1) into 1 2.283 * [backup-simplify]: Simplify (/ 1 1) into 1 2.283 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 2.283 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 2.283 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 2.283 * [taylor]: Taking taylor expansion of 1/3 in N 2.283 * [backup-simplify]: Simplify 1/3 into 1/3 2.283 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.283 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.283 * [taylor]: Taking taylor expansion of N in N 2.283 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify 1 into 1 2.283 * [backup-simplify]: Simplify (* 1 1) into 1 2.283 * [backup-simplify]: Simplify (* 1 1) into 1 2.284 * [backup-simplify]: Simplify (/ 1 1) into 1 2.284 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.284 * [taylor]: Taking taylor expansion of N in N 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 1 into 1 2.284 * [backup-simplify]: Simplify (/ 1 1) into 1 2.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 2.284 * [taylor]: Taking taylor expansion of 1/2 in N 2.284 * [backup-simplify]: Simplify 1/2 into 1/2 2.284 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.284 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.284 * [taylor]: Taking taylor expansion of N in N 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 1 into 1 2.284 * [backup-simplify]: Simplify (* 1 1) into 1 2.285 * [backup-simplify]: Simplify (/ 1 1) into 1 2.285 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.285 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.285 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.285 * [backup-simplify]: Simplify 1/3 into 1/3 2.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.288 * [backup-simplify]: Simplify (+ 0 0) into 0 2.288 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.288 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.288 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.288 * [backup-simplify]: Simplify -1/2 into -1/2 2.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.293 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.293 * [backup-simplify]: Simplify (+ 0 1) into 1 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.295 * [backup-simplify]: Simplify (- 0) into 0 2.296 * [backup-simplify]: Simplify (+ 1 0) into 1 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 2.296 * [backup-simplify]: Simplify (+ (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (- (/ 1 (/ 1 N)) (/ 1/2 (* (/ 1 N) (/ 1 N))))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 2.297 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 2.297 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 2.297 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 2.297 * [taylor]: Taking taylor expansion of N in N 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 1 into 1 2.297 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.297 * [taylor]: Taking taylor expansion of 1/3 in N 2.297 * [backup-simplify]: Simplify 1/3 into 1/3 2.297 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.297 * [taylor]: Taking taylor expansion of N in N 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 1 into 1 2.297 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.297 * [taylor]: Taking taylor expansion of 1/2 in N 2.297 * [backup-simplify]: Simplify 1/2 into 1/2 2.297 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.297 * [taylor]: Taking taylor expansion of N in N 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 1 into 1 2.297 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 2.297 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 2.297 * [taylor]: Taking taylor expansion of N in N 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 1 into 1 2.297 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.297 * [taylor]: Taking taylor expansion of 1/3 in N 2.297 * [backup-simplify]: Simplify 1/3 into 1/3 2.297 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.297 * [taylor]: Taking taylor expansion of N in N 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 1 into 1 2.297 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.297 * [taylor]: Taking taylor expansion of 1/2 in N 2.297 * [backup-simplify]: Simplify 1/2 into 1/2 2.297 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.297 * [taylor]: Taking taylor expansion of N in N 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 1 into 1 2.298 * [backup-simplify]: Simplify (+ 0 0) into 0 2.298 * [backup-simplify]: Simplify (+ 0 0) into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify (+ 1 0) into 1 2.299 * [backup-simplify]: Simplify (+ 1 0) into 1 2.299 * [backup-simplify]: Simplify 1 into 1 2.300 * [backup-simplify]: Simplify (+ 0 0) into 0 2.300 * [backup-simplify]: Simplify (* 1 1) into 1 2.300 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.301 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.301 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.301 * [backup-simplify]: Simplify -1/2 into -1/2 2.302 * [backup-simplify]: Simplify (* 1 1) into 1 2.302 * [backup-simplify]: Simplify (* 1 1) into 1 2.302 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.303 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.305 * [backup-simplify]: Simplify (- 0) into 0 2.305 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.305 * [backup-simplify]: Simplify 1/3 into 1/3 2.305 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.306 * [backup-simplify]: Simplify (+ (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1 (/ 1 (- N))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))))) into (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) 2.306 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in (N) around 0 2.306 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 2.306 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 2.306 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.306 * [taylor]: Taking taylor expansion of 1/2 in N 2.306 * [backup-simplify]: Simplify 1/2 into 1/2 2.306 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.306 * [taylor]: Taking taylor expansion of N in N 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 2.306 * [taylor]: Taking taylor expansion of N in N 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.306 * [taylor]: Taking taylor expansion of 1/3 in N 2.306 * [backup-simplify]: Simplify 1/3 into 1/3 2.306 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.306 * [taylor]: Taking taylor expansion of N in N 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 2.306 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 2.306 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.307 * [taylor]: Taking taylor expansion of 1/2 in N 2.307 * [backup-simplify]: Simplify 1/2 into 1/2 2.307 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.307 * [taylor]: Taking taylor expansion of N in N 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 1 into 1 2.307 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 2.307 * [taylor]: Taking taylor expansion of N in N 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 1 into 1 2.307 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.307 * [taylor]: Taking taylor expansion of 1/3 in N 2.307 * [backup-simplify]: Simplify 1/3 into 1/3 2.307 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.307 * [taylor]: Taking taylor expansion of N in N 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 1 into 1 2.308 * [backup-simplify]: Simplify (+ 0 0) into 0 2.308 * [backup-simplify]: Simplify (+ 0 0) into 0 2.308 * [backup-simplify]: Simplify (- 0) into 0 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify (+ 1 0) into 1 2.310 * [backup-simplify]: Simplify (+ 0 1) into 1 2.310 * [backup-simplify]: Simplify (- 1) into -1 2.310 * [backup-simplify]: Simplify -1 into -1 2.311 * [backup-simplify]: Simplify (* 1 1) into 1 2.311 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.311 * [backup-simplify]: Simplify (+ 0 0) into 0 2.312 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.312 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.312 * [backup-simplify]: Simplify -1/2 into -1/2 2.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.314 * [backup-simplify]: Simplify (* 1 1) into 1 2.315 * [backup-simplify]: Simplify (* 1 1) into 1 2.315 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.316 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.316 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 2.317 * [backup-simplify]: Simplify (- 1/3) into -1/3 2.317 * [backup-simplify]: Simplify -1/3 into -1/3 2.317 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.317 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.317 * [backup-simplify]: Simplify (/ 1/3 N) into (/ 1/3 N) 2.317 * [approximate]: Taking taylor expansion of (/ 1/3 N) in (N) around 0 2.317 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 2.317 * [taylor]: Taking taylor expansion of 1/3 in N 2.317 * [backup-simplify]: Simplify 1/3 into 1/3 2.317 * [taylor]: Taking taylor expansion of N in N 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.318 * [taylor]: Taking taylor expansion of (/ 1/3 N) in N 2.318 * [taylor]: Taking taylor expansion of 1/3 in N 2.318 * [backup-simplify]: Simplify 1/3 into 1/3 2.318 * [taylor]: Taking taylor expansion of N in N 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.319 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.319 * [backup-simplify]: Simplify 1/3 into 1/3 2.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.321 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.323 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.325 * [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 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 2.325 * [backup-simplify]: Simplify (/ 1/3 (/ 1 N)) into (* 1/3 N) 2.325 * [approximate]: Taking taylor expansion of (* 1/3 N) in (N) around 0 2.325 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.325 * [taylor]: Taking taylor expansion of 1/3 in N 2.325 * [backup-simplify]: Simplify 1/3 into 1/3 2.325 * [taylor]: Taking taylor expansion of N in N 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 1 into 1 2.325 * [taylor]: Taking taylor expansion of (* 1/3 N) in N 2.325 * [taylor]: Taking taylor expansion of 1/3 in N 2.325 * [backup-simplify]: Simplify 1/3 into 1/3 2.325 * [taylor]: Taking taylor expansion of N in N 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 1 into 1 2.325 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.325 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.326 * [backup-simplify]: Simplify 1/3 into 1/3 2.327 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1) (* 0 0))) into 0 2.327 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.328 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.330 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) 2.332 * [backup-simplify]: Simplify (/ 1/3 (/ 1 (- N))) into (* -1/3 N) 2.332 * [approximate]: Taking taylor expansion of (* -1/3 N) in (N) around 0 2.332 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 2.332 * [taylor]: Taking taylor expansion of -1/3 in N 2.332 * [backup-simplify]: Simplify -1/3 into -1/3 2.332 * [taylor]: Taking taylor expansion of N in N 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [taylor]: Taking taylor expansion of (* -1/3 N) in N 2.332 * [taylor]: Taking taylor expansion of -1/3 in N 2.332 * [backup-simplify]: Simplify -1/3 into -1/3 2.332 * [taylor]: Taking taylor expansion of N in N 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.333 * [backup-simplify]: Simplify (* -1/3 0) into 0 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify (+ (* -1/3 1) (* 0 0)) into -1/3 2.333 * [backup-simplify]: Simplify -1/3 into -1/3 2.334 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 1) (* 0 0))) into 0 2.334 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.335 * [backup-simplify]: Simplify 0 into 0 2.336 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.336 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) 2.339 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 2.339 * [backup-simplify]: Simplify (/ 1/2 (* N N)) into (/ 1/2 (pow N 2)) 2.339 * [approximate]: Taking taylor expansion of (/ 1/2 (pow N 2)) in (N) around 0 2.339 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 2.339 * [taylor]: Taking taylor expansion of 1/2 in N 2.339 * [backup-simplify]: Simplify 1/2 into 1/2 2.339 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.339 * [taylor]: Taking taylor expansion of N in N 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [backup-simplify]: Simplify (* 1 1) into 1 2.340 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.340 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 2.340 * [taylor]: Taking taylor expansion of 1/2 in N 2.340 * [backup-simplify]: Simplify 1/2 into 1/2 2.340 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.340 * [taylor]: Taking taylor expansion of N in N 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 1 into 1 2.340 * [backup-simplify]: Simplify (* 1 1) into 1 2.340 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.340 * [backup-simplify]: Simplify 1/2 into 1/2 2.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.345 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 2.348 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 N) (/ 1 N))) into (* 1/2 (pow N 2)) 2.348 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 2.348 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.348 * [taylor]: Taking taylor expansion of 1/2 in N 2.348 * [backup-simplify]: Simplify 1/2 into 1/2 2.348 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.348 * [taylor]: Taking taylor expansion of N in N 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.348 * [taylor]: Taking taylor expansion of 1/2 in N 2.348 * [backup-simplify]: Simplify 1/2 into 1/2 2.348 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.348 * [taylor]: Taking taylor expansion of N in N 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.349 * [backup-simplify]: Simplify (* 1 1) into 1 2.349 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.349 * [backup-simplify]: Simplify 1/2 into 1/2 2.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.354 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.356 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.359 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 2.363 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/2 (pow N 2)) 2.363 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 2.363 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.363 * [taylor]: Taking taylor expansion of 1/2 in N 2.363 * [backup-simplify]: Simplify 1/2 into 1/2 2.363 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.363 * [taylor]: Taking taylor expansion of N in N 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 1 into 1 2.363 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.363 * [taylor]: Taking taylor expansion of 1/2 in N 2.363 * [backup-simplify]: Simplify 1/2 into 1/2 2.363 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.363 * [taylor]: Taking taylor expansion of N in N 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 1 into 1 2.364 * [backup-simplify]: Simplify (* 1 1) into 1 2.364 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.364 * [backup-simplify]: Simplify 1/2 into 1/2 2.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (- N)) 2)) into (/ 1/2 (pow N 2)) 2.379 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.379 * [backup-simplify]: Simplify (/ (/ 1/3 N) (* N N)) into (/ 1/3 (pow N 3)) 2.379 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 2.379 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 2.379 * [taylor]: Taking taylor expansion of 1/3 in N 2.379 * [backup-simplify]: Simplify 1/3 into 1/3 2.379 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.379 * [taylor]: Taking taylor expansion of N in N 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify 1 into 1 2.380 * [backup-simplify]: Simplify (* 1 1) into 1 2.380 * [backup-simplify]: Simplify (* 1 1) into 1 2.380 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.380 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 2.380 * [taylor]: Taking taylor expansion of 1/3 in N 2.380 * [backup-simplify]: Simplify 1/3 into 1/3 2.380 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.380 * [taylor]: Taking taylor expansion of N in N 2.380 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify 1 into 1 2.381 * [backup-simplify]: Simplify (* 1 1) into 1 2.381 * [backup-simplify]: Simplify (* 1 1) into 1 2.382 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.382 * [backup-simplify]: Simplify 1/3 into 1/3 2.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.385 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.389 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.392 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.394 * [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 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 2.394 * [backup-simplify]: Simplify (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (* 1/3 (pow N 3)) 2.394 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0 2.394 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.394 * [taylor]: Taking taylor expansion of 1/3 in N 2.394 * [backup-simplify]: Simplify 1/3 into 1/3 2.394 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.394 * [taylor]: Taking taylor expansion of N in N 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.394 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 2.394 * [taylor]: Taking taylor expansion of 1/3 in N 2.394 * [backup-simplify]: Simplify 1/3 into 1/3 2.394 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.394 * [taylor]: Taking taylor expansion of N in N 2.394 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (* 1 1) into 1 2.395 * [backup-simplify]: Simplify (* 1 1) into 1 2.395 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.395 * [backup-simplify]: Simplify 1/3 into 1/3 2.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.397 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.398 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.398 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.400 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.400 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.402 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.409 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.412 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.412 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 2.413 * [backup-simplify]: Simplify (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/3 (pow N 3)) 2.413 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0 2.413 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 2.413 * [taylor]: Taking taylor expansion of -1/3 in N 2.413 * [backup-simplify]: Simplify -1/3 into -1/3 2.413 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.413 * [taylor]: Taking taylor expansion of N in N 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify 1 into 1 2.413 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 2.413 * [taylor]: Taking taylor expansion of -1/3 in N 2.413 * [backup-simplify]: Simplify -1/3 into -1/3 2.413 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.413 * [taylor]: Taking taylor expansion of N in N 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify 1 into 1 2.414 * [backup-simplify]: Simplify (* 1 1) into 1 2.414 * [backup-simplify]: Simplify (* 1 1) into 1 2.414 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 2.414 * [backup-simplify]: Simplify -1/3 into -1/3 2.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.417 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 2.417 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.419 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.420 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.423 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.423 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.427 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.427 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.431 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.437 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (- N)) 3)) into (/ 1/3 (pow N 3)) 2.437 * * * [progress]: simplifying candidates 2.437 * * * * [progress]: [ 1 / 131 ] simplifiying candidate # 2.437 * * * * [progress]: [ 2 / 131 ] simplifiying candidate # 2.437 * * * * [progress]: [ 3 / 131 ] simplifiying candidate # 2.437 * * * * [progress]: [ 4 / 131 ] simplifiying candidate # 2.437 * * * * [progress]: [ 5 / 131 ] simplifiying candidate # 2.437 * * * * [progress]: [ 6 / 131 ] simplifiying candidate # 2.438 * * * * [progress]: [ 7 / 131 ] simplifiying candidate # 2.438 * * * * [progress]: [ 8 / 131 ] simplifiying candidate # 2.438 * * * * [progress]: [ 9 / 131 ] simplifiying candidate # 2.438 * * * * [progress]: [ 10 / 131 ] simplifiying candidate # 2.438 * * * * [progress]: [ 11 / 131 ] simplifiying candidate # 2.438 * * * * [progress]: [ 12 / 131 ] simplifiying candidate # 2.438 * * * * [progress]: [ 13 / 131 ] simplifiying candidate # 2.438 * * * * [progress]: [ 14 / 131 ] simplifiying candidate # 2.438 * * * * [progress]: [ 15 / 131 ] simplifiying candidate # 2.438 * * * * [progress]: [ 16 / 131 ] simplifiying candidate # 2.438 * * * * [progress]: [ 17 / 131 ] simplifiying candidate # 2.438 * * * * [progress]: [ 18 / 131 ] simplifiying candidate # 2.438 * * * * [progress]: [ 19 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 20 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 21 / 131 ] simplifiying candidate #real (real->posit16 (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))))> 2.439 * * * * [progress]: [ 22 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 23 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 24 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 25 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 26 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 27 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 28 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 29 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 30 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 31 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 32 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 33 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 34 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 35 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 36 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 37 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 38 / 131 ] simplifiying candidate # 2.439 * * * * [progress]: [ 39 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 40 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 41 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 42 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 43 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 44 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 45 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 46 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 47 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 48 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 49 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 50 / 131 ] simplifiying candidate #real (real->posit16 (/ 1/3 N))) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))> 2.440 * * * * [progress]: [ 51 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 52 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 53 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 54 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 55 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 56 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 57 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 58 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 59 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 60 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 61 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 62 / 131 ] simplifiying candidate # 2.440 * * * * [progress]: [ 63 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 64 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 65 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 66 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 67 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 68 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 69 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 70 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 71 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 72 / 131 ] simplifiying candidate #real (real->posit16 (/ 1/2 (* N N)))))))> 2.441 * * * * [progress]: [ 73 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 74 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 75 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 76 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 77 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 78 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 79 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 80 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 81 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 82 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 83 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 84 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 85 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 86 / 131 ] simplifiying candidate # 2.441 * * * * [progress]: [ 87 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 88 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 89 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 90 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 91 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 92 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 93 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 94 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 95 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 96 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 97 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 98 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 99 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 100 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 101 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 102 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 103 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 104 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 105 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 106 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 107 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 108 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 109 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 110 / 131 ] simplifiying candidate # 2.442 * * * * [progress]: [ 111 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 112 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 113 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 114 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 115 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 116 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 117 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 118 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 119 / 131 ] simplifiying candidate #real (real->posit16 (/ (/ 1/3 N) (* N N)))) (- (/ 1 N) (/ 1/2 (* N N)))))> 2.443 * * * * [progress]: [ 120 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 121 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 122 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 123 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 124 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 125 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 126 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 127 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 128 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 129 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 130 / 131 ] simplifiying candidate # 2.443 * * * * [progress]: [ 131 / 131 ] simplifiying candidate # 2.444 * [simplify]: Simplifying: (* (exp (/ (/ 1/3 N) (* N N))) (/ (exp (/ 1 N)) (exp (/ 1/2 (* N N))))) (* (exp (/ (/ 1/3 N) (* N N))) (exp (- (/ 1 N) (/ 1/2 (* N N))))) (log (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (exp (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (* (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (* (* (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (sqrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (sqrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (+ (* (/ 1/3 N) (* N (* N N))) (* (* N N) (- (* 1 (* N N)) (* N 1/2)))) (* (* N N) (* N (* N N))) (+ (* (/ 1/3 N) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N)))))) (* (* N N) (- (pow (/ 1 N) 3) (pow (/ 1/2 (* N N)) 3)))) (* (* N N) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N)))))) (+ (* (/ 1/3 N) (+ (/ 1 N) (/ 1/2 (* N N)))) (* (* N N) (- (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))))) (* (* N N) (+ (/ 1 N) (/ 1/2 (* N N)))) (+ (pow (/ (/ 1/3 N) (* N N)) 3) (pow (- (/ 1 N) (/ 1/2 (* N N))) 3)) (+ (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (- (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (* (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (- (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (real->posit16 (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (- (log 1/3) (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 1/2) (+ (log N) (log N))) (- (log 1/2) (log (* N N))) (log (/ 1/2 (* N N))) (exp (/ 1/2 (* N N))) (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) (cbrt (/ 1/2 (* N N))) (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) (- 1/2) (- (* N N)) (/ (* (cbrt 1/2) (cbrt 1/2)) N) (/ (cbrt 1/2) N) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (/ 1 N) (/ 1/2 N) (/ 1 (* N N)) (/ (* N N) 1/2) (/ 1/2 N) (/ (* N N) (cbrt 1/2)) (/ (* N N) (sqrt 1/2)) (/ (* N N) 1/2) (real->posit16 (/ 1/2 (* N N))) (- (- (log 1/3) (log N)) (+ (log N) (log N))) (- (- (log 1/3) (log N)) (log (* N N))) (- (log (/ 1/3 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)))) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1/2 (pow N 2)) (/ 1/2 (pow N 2)) (/ 1/2 (pow N 2)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) 2.446 * * [simplify]: iteration 1: (200 enodes) 2.527 * * [simplify]: iteration 2: (541 enodes) 2.990 * * [simplify]: iteration 3: (1958 enodes) 12.231 * * [simplify]: Extracting #0: cost 108 inf + 0 12.233 * * [simplify]: Extracting #1: cost 945 inf + 4 12.242 * * [simplify]: Extracting #2: cost 2629 inf + 6114 12.281 * * [simplify]: Extracting #3: cost 2150 inf + 162726 12.444 * * [simplify]: Extracting #4: cost 476 inf + 592539 12.665 * * [simplify]: Extracting #5: cost 33 inf + 754237 12.939 * * [simplify]: Extracting #6: cost 0 inf + 768741 13.158 * * [simplify]: Extracting #7: cost 0 inf + 768461 13.408 * [simplify]: Simplified to: (exp (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (exp (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (log (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (exp (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (* (cbrt (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (cbrt (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N)))))) (cbrt (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (* (* (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N)))) (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (sqrt (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (sqrt (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (+ (/ (* 1/3 (* (* N N) N)) N) (* (* (* N N) N) (- N 1/2))) (* (* (* N N) N) (* N N)) (+ (+ (* (- (/ (/ 1 N) (* N N)) (/ 1/8 (* (* (* N N) N) (* (* N N) N)))) (* N N)) (* (/ (* 1/3 (/ 1/2 (* N N))) N) (+ (/ 1 N) (/ 1/2 (* N N))))) (/ 1/3 (* (* N N) N))) (+ (* (/ 1/2 (* N N)) (+ (* (/ 1/2 (* N N)) (* N N)) N)) 1) (+ (+ 1 (+ (/ (* (/ -1/4 (* N N)) (* N N)) (* N N)) (/ 1/3 (* N N)))) (/ (/ 1/6 N) (* 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)))) (/ 1/27 (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N))))) (+ (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N))) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/3 (* (* N N) N))))) (- (* (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N))) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (+ (/ 1/2 (* N N)) (+ (/ 1/3 (* (* N N) N)) (/ -1 N))) (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N)))) (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N)))) (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N)))) (* (/ 1 N) (+ (/ 1/3 (* N N)) 1)) (* (/ 1 N) (+ (/ 1/3 (* N N)) 1)) (* (/ 1 N) (+ (/ 1/3 (* N N)) 1)) (real->posit16 (- (/ 1 N) (- (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N))))) (log (/ 1/3 N)) (log (/ 1/3 N)) (exp (/ 1/3 N)) (/ (/ 1/27 N) (* N N)) (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) (cbrt (/ 1/3 N)) (/ (/ 1/27 N) (* N 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) (cbrt 1/3)) (sqrt N)) (/ (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 (/ 1/2 (* N N))) (log (/ 1/2 (* N N))) (log (/ 1/2 (* N N))) (exp (/ 1/2 (* N N))) (/ 1/8 (* (* (* N N) N) (* (* N N) N))) (/ 1/8 (* (* (* N N) N) (* (* N N) N))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) (cbrt (/ 1/2 (* N N))) (/ 1/8 (* (* (* N N) N) (* (* N N) N))) (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) -1/2 (- (* N N)) (/ (* (cbrt 1/2) (cbrt 1/2)) N) (/ (cbrt 1/2) N) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (/ 1 N) (/ 1/2 N) (* (/ 1 N) (/ 1 N)) (/ (* N N) 1/2) (/ 1/2 N) (* (/ N (cbrt 1/2)) N) (* N (/ N (sqrt 1/2))) (/ (* N N) 1/2) (real->posit16 (/ 1/2 (* N N))) (log (/ 1/3 (* (* N N) N))) (log (/ 1/3 (* (* N N) N))) (log (/ 1/3 (* (* N N) N))) (log (/ 1/3 (* (* N N) N))) (log (/ 1/3 (* (* N N) N))) (exp (/ 1/3 (* (* N N) N))) (/ 1/27 (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N)))) (/ 1/27 (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N)))) (/ 1/27 (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N)))) (/ 1/27 (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N)))) (* (cbrt (/ 1/3 (* (* N N) N))) (cbrt (/ 1/3 (* (* N N) N)))) (cbrt (/ 1/3 (* (* N N) N))) (/ 1/27 (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N)))) (sqrt (/ 1/3 (* (* N N) N))) (sqrt (/ 1/3 (* (* N N) N))) (/ -1/3 N) (- (* N N)) (* (cbrt (/ 1/3 N)) (/ (cbrt (/ 1/3 N)) N)) (/ (cbrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (sqrt (/ 1/3 N)) N) (/ (/ (cbrt 1/3) (cbrt N)) (/ N (/ (cbrt 1/3) (cbrt N)))) (/ (cbrt 1/3) (* N (cbrt N))) (/ (/ (* (cbrt 1/3) (cbrt 1/3)) (sqrt N)) N) (/ (/ (cbrt 1/3) N) (sqrt N)) (* (/ (cbrt 1/3) N) (cbrt 1/3)) (/ (/ (cbrt 1/3) N) N) (/ (/ (sqrt 1/3) (cbrt N)) (* N (cbrt N))) (/ (/ (sqrt 1/3) N) (cbrt N)) (/ (sqrt 1/3) (* N (sqrt N))) (/ (sqrt 1/3) (* N (sqrt 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 N) N) 1/3) (/ 1/3 (* N N)) (* N (/ N (cbrt (/ 1/3 N)))) (/ N (/ (sqrt (/ 1/3 N)) N)) (/ N (/ (cbrt 1/3) (* N (cbrt N)))) (* (/ N (/ (cbrt 1/3) N)) (sqrt N)) (* (/ (* N N) (cbrt 1/3)) N) (/ (* N N) (/ (sqrt 1/3) (cbrt N))) (* (sqrt N) (/ (* N N) (sqrt 1/3))) (* N (/ (* N N) (sqrt 1/3))) (/ (* N (* N (cbrt N))) 1/3) (/ (* N N) (/ 1/3 (sqrt N))) (/ (* (* N N) N) 1/3) (/ (* (* N N) N) 1/3) (* (* N N) N) (* (* N N) N) (real->posit16 (/ 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)))) (/ 1/3 N) (/ 1/3 N) (/ 1/3 N) (/ 1/2 (* N N)) (/ 1/2 (* N N)) (/ 1/2 (* N N)) (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N)) (/ 1/3 (* (* N N) N)) 13.425 * * * [progress]: adding candidates to table 14.426 * * [progress]: iteration 3 / 4 14.426 * * * [progress]: picking best candidate 14.435 * * * * [pick]: Picked # 14.435 * * * [progress]: localizing error 14.492 * * * [progress]: generating rewritten candidates 14.492 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 14.574 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 14.615 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 14.666 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 14.716 * * * [progress]: generating series expansions 14.716 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 14.716 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) into (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) 14.717 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in (N) around 0 14.717 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 14.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))))) in N 14.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) in N 14.717 * [taylor]: Taking taylor expansion of 1/3 in N 14.717 * [backup-simplify]: Simplify 1/3 into 1/3 14.717 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) in N 14.717 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 14.717 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 14.717 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 14.717 * [taylor]: Taking taylor expansion of 1/3 in N 14.717 * [backup-simplify]: Simplify 1/3 into 1/3 14.717 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 14.717 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.717 * [taylor]: Taking taylor expansion of N in N 14.717 * [backup-simplify]: Simplify 0 into 0 14.717 * [backup-simplify]: Simplify 1 into 1 14.717 * [backup-simplify]: Simplify (* 1 1) into 1 14.718 * [backup-simplify]: Simplify (* 1 1) into 1 14.718 * [backup-simplify]: Simplify (/ 1 1) into 1 14.718 * [taylor]: Taking taylor expansion of (/ 1 N) in N 14.718 * [taylor]: Taking taylor expansion of N in N 14.718 * [backup-simplify]: Simplify 0 into 0 14.718 * [backup-simplify]: Simplify 1 into 1 14.718 * [backup-simplify]: Simplify (/ 1 1) into 1 14.718 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 14.718 * [taylor]: Taking taylor expansion of 1/2 in N 14.718 * [backup-simplify]: Simplify 1/2 into 1/2 14.718 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 14.718 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.718 * [taylor]: Taking taylor expansion of N in N 14.718 * [backup-simplify]: Simplify 0 into 0 14.718 * [backup-simplify]: Simplify 1 into 1 14.718 * [backup-simplify]: Simplify (* 1 1) into 1 14.719 * [backup-simplify]: Simplify (/ 1 1) into 1 14.719 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 14.719 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.720 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.720 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 14.720 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 14.721 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 14.721 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 14.721 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 14.721 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))))) in N 14.721 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) in N 14.721 * [taylor]: Taking taylor expansion of 1/3 in N 14.721 * [backup-simplify]: Simplify 1/3 into 1/3 14.721 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) in N 14.721 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 14.721 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 14.721 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 14.721 * [taylor]: Taking taylor expansion of 1/3 in N 14.721 * [backup-simplify]: Simplify 1/3 into 1/3 14.721 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 14.721 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.721 * [taylor]: Taking taylor expansion of N in N 14.721 * [backup-simplify]: Simplify 0 into 0 14.721 * [backup-simplify]: Simplify 1 into 1 14.722 * [backup-simplify]: Simplify (* 1 1) into 1 14.722 * [backup-simplify]: Simplify (* 1 1) into 1 14.722 * [backup-simplify]: Simplify (/ 1 1) into 1 14.722 * [taylor]: Taking taylor expansion of (/ 1 N) in N 14.722 * [taylor]: Taking taylor expansion of N in N 14.722 * [backup-simplify]: Simplify 0 into 0 14.722 * [backup-simplify]: Simplify 1 into 1 14.722 * [backup-simplify]: Simplify (/ 1 1) into 1 14.722 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 14.722 * [taylor]: Taking taylor expansion of 1/2 in N 14.722 * [backup-simplify]: Simplify 1/2 into 1/2 14.722 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 14.722 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.722 * [taylor]: Taking taylor expansion of N in N 14.722 * [backup-simplify]: Simplify 0 into 0 14.723 * [backup-simplify]: Simplify 1 into 1 14.723 * [backup-simplify]: Simplify (* 1 1) into 1 14.723 * [backup-simplify]: Simplify (/ 1 1) into 1 14.723 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 14.724 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.724 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.724 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 14.725 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 14.725 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 14.725 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 14.726 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 14.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.728 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 14.728 * [backup-simplify]: Simplify (+ 0 0) into 0 14.728 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.728 * [backup-simplify]: Simplify (- 1/2) into -1/2 14.729 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 14.729 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 14.730 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 14.731 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 14.733 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 14.733 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 14.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.738 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 14.738 * [backup-simplify]: Simplify (+ 0 1) into 1 14.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.741 * [backup-simplify]: Simplify (- 0) into 0 14.741 * [backup-simplify]: Simplify (+ 1 0) into 1 14.744 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 14.745 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 14.746 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 14.749 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 14.749 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 14.751 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 14.752 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (- (/ 1 (/ 1 N)) (/ 1/2 (* (/ 1 N) (/ 1 N)))))) into (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) 14.752 * [approximate]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in (N) around 0 14.752 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 14.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 14.752 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 14.752 * [taylor]: Taking taylor expansion of 1/3 in N 14.752 * [backup-simplify]: Simplify 1/3 into 1/3 14.752 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 14.752 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 14.752 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 14.752 * [taylor]: Taking taylor expansion of N in N 14.752 * [backup-simplify]: Simplify 0 into 0 14.752 * [backup-simplify]: Simplify 1 into 1 14.752 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 14.752 * [taylor]: Taking taylor expansion of 1/3 in N 14.752 * [backup-simplify]: Simplify 1/3 into 1/3 14.752 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.752 * [taylor]: Taking taylor expansion of N in N 14.752 * [backup-simplify]: Simplify 0 into 0 14.752 * [backup-simplify]: Simplify 1 into 1 14.752 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 14.753 * [taylor]: Taking taylor expansion of 1/2 in N 14.753 * [backup-simplify]: Simplify 1/2 into 1/2 14.753 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.753 * [taylor]: Taking taylor expansion of N in N 14.753 * [backup-simplify]: Simplify 0 into 0 14.753 * [backup-simplify]: Simplify 1 into 1 14.753 * [backup-simplify]: Simplify (+ 0 0) into 0 14.754 * [backup-simplify]: Simplify (+ 0 0) into 0 14.754 * [backup-simplify]: Simplify (+ 1 0) into 1 14.754 * [backup-simplify]: Simplify (+ 1 0) into 1 14.755 * [backup-simplify]: Simplify (log 1) into 0 14.755 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.755 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 14.755 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 14.755 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 14.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 14.756 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 14.756 * [taylor]: Taking taylor expansion of 1/3 in N 14.756 * [backup-simplify]: Simplify 1/3 into 1/3 14.756 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 14.756 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 14.756 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 14.756 * [taylor]: Taking taylor expansion of N in N 14.756 * [backup-simplify]: Simplify 0 into 0 14.756 * [backup-simplify]: Simplify 1 into 1 14.756 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 14.756 * [taylor]: Taking taylor expansion of 1/3 in N 14.756 * [backup-simplify]: Simplify 1/3 into 1/3 14.756 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.756 * [taylor]: Taking taylor expansion of N in N 14.756 * [backup-simplify]: Simplify 0 into 0 14.756 * [backup-simplify]: Simplify 1 into 1 14.756 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 14.756 * [taylor]: Taking taylor expansion of 1/2 in N 14.756 * [backup-simplify]: Simplify 1/2 into 1/2 14.756 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.756 * [taylor]: Taking taylor expansion of N in N 14.756 * [backup-simplify]: Simplify 0 into 0 14.756 * [backup-simplify]: Simplify 1 into 1 14.756 * [backup-simplify]: Simplify (+ 0 0) into 0 14.757 * [backup-simplify]: Simplify (+ 0 0) into 0 14.757 * [backup-simplify]: Simplify (+ 1 0) into 1 14.758 * [backup-simplify]: Simplify (+ 1 0) into 1 14.758 * [backup-simplify]: Simplify (log 1) into 0 14.758 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.759 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 14.759 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 14.759 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 14.759 * [backup-simplify]: Simplify (+ 0 0) into 0 14.760 * [backup-simplify]: Simplify (* 1 1) into 1 14.760 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.761 * [backup-simplify]: Simplify (- 1/2) into -1/2 14.761 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 14.762 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 14.763 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.763 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 14.765 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 14.765 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 14.766 * [backup-simplify]: Simplify (* 1 1) into 1 14.766 * [backup-simplify]: Simplify (* 1 1) into 1 14.766 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 14.767 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 14.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.769 * [backup-simplify]: Simplify (- 0) into 0 14.769 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.772 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 14.773 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.774 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 14.776 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 14.776 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 14.776 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 14.777 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1 (/ 1 (- N))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N))))))) into (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) 14.777 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in (N) around 0 14.777 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in N 14.777 * [taylor]: Taking taylor expansion of (cbrt -1) in N 14.777 * [taylor]: Taking taylor expansion of -1 in N 14.777 * [backup-simplify]: Simplify -1 into -1 14.778 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 14.779 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 14.779 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3) in N 14.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))))) in N 14.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))))) in N 14.779 * [taylor]: Taking taylor expansion of 1/3 in N 14.779 * [backup-simplify]: Simplify 1/3 into 1/3 14.779 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 14.779 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 14.779 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 14.779 * [taylor]: Taking taylor expansion of 1/2 in N 14.779 * [backup-simplify]: Simplify 1/2 into 1/2 14.779 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.779 * [taylor]: Taking taylor expansion of N in N 14.779 * [backup-simplify]: Simplify 0 into 0 14.779 * [backup-simplify]: Simplify 1 into 1 14.779 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 14.779 * [taylor]: Taking taylor expansion of N in N 14.779 * [backup-simplify]: Simplify 0 into 0 14.779 * [backup-simplify]: Simplify 1 into 1 14.779 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 14.779 * [taylor]: Taking taylor expansion of 1/3 in N 14.779 * [backup-simplify]: Simplify 1/3 into 1/3 14.779 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.779 * [taylor]: Taking taylor expansion of N in N 14.779 * [backup-simplify]: Simplify 0 into 0 14.779 * [backup-simplify]: Simplify 1 into 1 14.780 * [backup-simplify]: Simplify (+ 0 0) into 0 14.780 * [backup-simplify]: Simplify (+ 0 0) into 0 14.781 * [backup-simplify]: Simplify (+ 1 0) into 1 14.781 * [backup-simplify]: Simplify (+ 0 1) into 1 14.782 * [backup-simplify]: Simplify (log 1) into 0 14.782 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.782 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 14.782 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 14.782 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in N 14.782 * [taylor]: Taking taylor expansion of (cbrt -1) in N 14.782 * [taylor]: Taking taylor expansion of -1 in N 14.782 * [backup-simplify]: Simplify -1 into -1 14.783 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 14.783 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 14.784 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3) in N 14.784 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))))) in N 14.784 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))))) in N 14.784 * [taylor]: Taking taylor expansion of 1/3 in N 14.784 * [backup-simplify]: Simplify 1/3 into 1/3 14.784 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 14.784 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 14.784 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 14.784 * [taylor]: Taking taylor expansion of 1/2 in N 14.784 * [backup-simplify]: Simplify 1/2 into 1/2 14.784 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.784 * [taylor]: Taking taylor expansion of N in N 14.784 * [backup-simplify]: Simplify 0 into 0 14.784 * [backup-simplify]: Simplify 1 into 1 14.784 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 14.784 * [taylor]: Taking taylor expansion of N in N 14.784 * [backup-simplify]: Simplify 0 into 0 14.784 * [backup-simplify]: Simplify 1 into 1 14.784 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 14.784 * [taylor]: Taking taylor expansion of 1/3 in N 14.784 * [backup-simplify]: Simplify 1/3 into 1/3 14.784 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.784 * [taylor]: Taking taylor expansion of N in N 14.784 * [backup-simplify]: Simplify 0 into 0 14.784 * [backup-simplify]: Simplify 1 into 1 14.785 * [backup-simplify]: Simplify (+ 0 0) into 0 14.785 * [backup-simplify]: Simplify (+ 0 0) into 0 14.785 * [backup-simplify]: Simplify (+ 1 0) into 1 14.786 * [backup-simplify]: Simplify (+ 0 1) into 1 14.786 * [backup-simplify]: Simplify (log 1) into 0 14.787 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.787 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 14.787 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 14.787 * [backup-simplify]: Simplify (* (cbrt -1) (pow N 1/3)) into (* (pow N 1/3) (cbrt -1)) 14.788 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 14.788 * [backup-simplify]: Simplify (* 1 1) into 1 14.789 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.789 * [backup-simplify]: Simplify (+ 0 0) into 0 14.790 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.791 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 14.791 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.792 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (log N))) into 1/6 14.793 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow N 1/3)) 14.794 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/6 (pow N 1/3))) (* 0 (pow N 1/3))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 14.794 * [backup-simplify]: Simplify (* 1/6 (* (pow N 1/3) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 14.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.796 * [backup-simplify]: Simplify (* 1 1) into 1 14.796 * [backup-simplify]: Simplify (* 1 1) into 1 14.797 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 14.797 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 14.798 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 14.801 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 14.801 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.802 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (log N)))) into 5/72 14.804 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 14.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 14.806 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/12 (pow N 1/3))) (+ (* 0 (* 1/6 (pow N 1/3))) (* 0 (pow N 1/3)))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 14.807 * [backup-simplify]: Simplify (* 1/12 (* (pow N 1/3) (cbrt -1))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 14.809 * [backup-simplify]: Simplify (+ (* (* 1/12 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (/ 1 (- N))) (* (pow (/ 1 (- N)) 1/3) (cbrt -1)))) into (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) 14.809 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 14.810 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) into (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) 14.810 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in (N) around 0 14.810 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 14.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))))) in N 14.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) in N 14.810 * [taylor]: Taking taylor expansion of 1/3 in N 14.810 * [backup-simplify]: Simplify 1/3 into 1/3 14.810 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) in N 14.810 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 14.810 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 14.810 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 14.810 * [taylor]: Taking taylor expansion of 1/3 in N 14.810 * [backup-simplify]: Simplify 1/3 into 1/3 14.810 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 14.810 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.810 * [taylor]: Taking taylor expansion of N in N 14.810 * [backup-simplify]: Simplify 0 into 0 14.810 * [backup-simplify]: Simplify 1 into 1 14.811 * [backup-simplify]: Simplify (* 1 1) into 1 14.811 * [backup-simplify]: Simplify (* 1 1) into 1 14.811 * [backup-simplify]: Simplify (/ 1 1) into 1 14.811 * [taylor]: Taking taylor expansion of (/ 1 N) in N 14.811 * [taylor]: Taking taylor expansion of N in N 14.811 * [backup-simplify]: Simplify 0 into 0 14.811 * [backup-simplify]: Simplify 1 into 1 14.812 * [backup-simplify]: Simplify (/ 1 1) into 1 14.812 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 14.812 * [taylor]: Taking taylor expansion of 1/2 in N 14.812 * [backup-simplify]: Simplify 1/2 into 1/2 14.812 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 14.812 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.812 * [taylor]: Taking taylor expansion of N in N 14.812 * [backup-simplify]: Simplify 0 into 0 14.812 * [backup-simplify]: Simplify 1 into 1 14.816 * [backup-simplify]: Simplify (* 1 1) into 1 14.816 * [backup-simplify]: Simplify (/ 1 1) into 1 14.817 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 14.817 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.818 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.818 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 14.819 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 14.820 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 14.820 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 14.820 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 14.820 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))))) in N 14.820 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) in N 14.820 * [taylor]: Taking taylor expansion of 1/3 in N 14.820 * [backup-simplify]: Simplify 1/3 into 1/3 14.820 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) in N 14.820 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 14.820 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 14.820 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 14.820 * [taylor]: Taking taylor expansion of 1/3 in N 14.820 * [backup-simplify]: Simplify 1/3 into 1/3 14.820 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 14.821 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.821 * [taylor]: Taking taylor expansion of N in N 14.821 * [backup-simplify]: Simplify 0 into 0 14.821 * [backup-simplify]: Simplify 1 into 1 14.821 * [backup-simplify]: Simplify (* 1 1) into 1 14.821 * [backup-simplify]: Simplify (* 1 1) into 1 14.822 * [backup-simplify]: Simplify (/ 1 1) into 1 14.822 * [taylor]: Taking taylor expansion of (/ 1 N) in N 14.822 * [taylor]: Taking taylor expansion of N in N 14.822 * [backup-simplify]: Simplify 0 into 0 14.822 * [backup-simplify]: Simplify 1 into 1 14.822 * [backup-simplify]: Simplify (/ 1 1) into 1 14.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 14.822 * [taylor]: Taking taylor expansion of 1/2 in N 14.822 * [backup-simplify]: Simplify 1/2 into 1/2 14.822 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 14.822 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.822 * [taylor]: Taking taylor expansion of N in N 14.822 * [backup-simplify]: Simplify 0 into 0 14.822 * [backup-simplify]: Simplify 1 into 1 14.823 * [backup-simplify]: Simplify (* 1 1) into 1 14.823 * [backup-simplify]: Simplify (/ 1 1) into 1 14.823 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 14.824 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.824 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.824 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 14.825 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 14.825 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 14.825 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 14.826 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 14.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.827 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 14.828 * [backup-simplify]: Simplify (+ 0 0) into 0 14.828 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.828 * [backup-simplify]: Simplify (- 1/2) into -1/2 14.828 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 14.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 14.830 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 14.830 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 14.831 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 14.831 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 14.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.834 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 14.834 * [backup-simplify]: Simplify (+ 0 1) into 1 14.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.836 * [backup-simplify]: Simplify (- 0) into 0 14.836 * [backup-simplify]: Simplify (+ 1 0) into 1 14.838 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 14.838 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 14.839 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 14.840 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 14.841 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 14.842 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 14.842 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (- (/ 1 (/ 1 N)) (/ 1/2 (* (/ 1 N) (/ 1 N)))))) into (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) 14.842 * [approximate]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in (N) around 0 14.842 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 14.842 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 14.842 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 14.842 * [taylor]: Taking taylor expansion of 1/3 in N 14.842 * [backup-simplify]: Simplify 1/3 into 1/3 14.842 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 14.842 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 14.842 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 14.842 * [taylor]: Taking taylor expansion of N in N 14.842 * [backup-simplify]: Simplify 0 into 0 14.842 * [backup-simplify]: Simplify 1 into 1 14.842 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 14.843 * [taylor]: Taking taylor expansion of 1/3 in N 14.843 * [backup-simplify]: Simplify 1/3 into 1/3 14.843 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.843 * [taylor]: Taking taylor expansion of N in N 14.843 * [backup-simplify]: Simplify 0 into 0 14.843 * [backup-simplify]: Simplify 1 into 1 14.843 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 14.843 * [taylor]: Taking taylor expansion of 1/2 in N 14.843 * [backup-simplify]: Simplify 1/2 into 1/2 14.843 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.843 * [taylor]: Taking taylor expansion of N in N 14.843 * [backup-simplify]: Simplify 0 into 0 14.843 * [backup-simplify]: Simplify 1 into 1 14.843 * [backup-simplify]: Simplify (+ 0 0) into 0 14.843 * [backup-simplify]: Simplify (+ 0 0) into 0 14.843 * [backup-simplify]: Simplify (+ 1 0) into 1 14.844 * [backup-simplify]: Simplify (+ 1 0) into 1 14.844 * [backup-simplify]: Simplify (log 1) into 0 14.844 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.844 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 14.844 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 14.844 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 14.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 14.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 14.844 * [taylor]: Taking taylor expansion of 1/3 in N 14.844 * [backup-simplify]: Simplify 1/3 into 1/3 14.845 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 14.845 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 14.845 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 14.845 * [taylor]: Taking taylor expansion of N in N 14.845 * [backup-simplify]: Simplify 0 into 0 14.845 * [backup-simplify]: Simplify 1 into 1 14.845 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 14.845 * [taylor]: Taking taylor expansion of 1/3 in N 14.845 * [backup-simplify]: Simplify 1/3 into 1/3 14.845 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.845 * [taylor]: Taking taylor expansion of N in N 14.845 * [backup-simplify]: Simplify 0 into 0 14.845 * [backup-simplify]: Simplify 1 into 1 14.845 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 14.845 * [taylor]: Taking taylor expansion of 1/2 in N 14.845 * [backup-simplify]: Simplify 1/2 into 1/2 14.845 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.845 * [taylor]: Taking taylor expansion of N in N 14.845 * [backup-simplify]: Simplify 0 into 0 14.845 * [backup-simplify]: Simplify 1 into 1 14.845 * [backup-simplify]: Simplify (+ 0 0) into 0 14.845 * [backup-simplify]: Simplify (+ 0 0) into 0 14.846 * [backup-simplify]: Simplify (+ 1 0) into 1 14.846 * [backup-simplify]: Simplify (+ 1 0) into 1 14.846 * [backup-simplify]: Simplify (log 1) into 0 14.846 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.846 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 14.846 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 14.846 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 14.847 * [backup-simplify]: Simplify (+ 0 0) into 0 14.847 * [backup-simplify]: Simplify (* 1 1) into 1 14.847 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.848 * [backup-simplify]: Simplify (- 1/2) into -1/2 14.848 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 14.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 14.849 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.849 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 14.850 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 14.850 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 14.850 * [backup-simplify]: Simplify (* 1 1) into 1 14.850 * [backup-simplify]: Simplify (* 1 1) into 1 14.851 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 14.851 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 14.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.852 * [backup-simplify]: Simplify (- 0) into 0 14.852 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.854 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 14.854 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.855 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 14.857 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 14.857 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 14.858 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 14.858 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1 (/ 1 (- N))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N))))))) into (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) 14.858 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in (N) around 0 14.858 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in N 14.858 * [taylor]: Taking taylor expansion of (cbrt -1) in N 14.858 * [taylor]: Taking taylor expansion of -1 in N 14.858 * [backup-simplify]: Simplify -1 into -1 14.859 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 14.860 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 14.860 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3) in N 14.860 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))))) in N 14.860 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))))) in N 14.860 * [taylor]: Taking taylor expansion of 1/3 in N 14.860 * [backup-simplify]: Simplify 1/3 into 1/3 14.860 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 14.860 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 14.860 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 14.860 * [taylor]: Taking taylor expansion of 1/2 in N 14.860 * [backup-simplify]: Simplify 1/2 into 1/2 14.860 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.860 * [taylor]: Taking taylor expansion of N in N 14.860 * [backup-simplify]: Simplify 0 into 0 14.860 * [backup-simplify]: Simplify 1 into 1 14.860 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 14.860 * [taylor]: Taking taylor expansion of N in N 14.860 * [backup-simplify]: Simplify 0 into 0 14.860 * [backup-simplify]: Simplify 1 into 1 14.860 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 14.860 * [taylor]: Taking taylor expansion of 1/3 in N 14.860 * [backup-simplify]: Simplify 1/3 into 1/3 14.860 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.860 * [taylor]: Taking taylor expansion of N in N 14.860 * [backup-simplify]: Simplify 0 into 0 14.860 * [backup-simplify]: Simplify 1 into 1 14.861 * [backup-simplify]: Simplify (+ 0 0) into 0 14.861 * [backup-simplify]: Simplify (+ 0 0) into 0 14.862 * [backup-simplify]: Simplify (+ 1 0) into 1 14.862 * [backup-simplify]: Simplify (+ 0 1) into 1 14.862 * [backup-simplify]: Simplify (log 1) into 0 14.863 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.863 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 14.863 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 14.863 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in N 14.863 * [taylor]: Taking taylor expansion of (cbrt -1) in N 14.863 * [taylor]: Taking taylor expansion of -1 in N 14.863 * [backup-simplify]: Simplify -1 into -1 14.863 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 14.864 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 14.864 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3) in N 14.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))))) in N 14.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))))) in N 14.864 * [taylor]: Taking taylor expansion of 1/3 in N 14.864 * [backup-simplify]: Simplify 1/3 into 1/3 14.864 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 14.864 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 14.864 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 14.864 * [taylor]: Taking taylor expansion of 1/2 in N 14.865 * [backup-simplify]: Simplify 1/2 into 1/2 14.865 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.865 * [taylor]: Taking taylor expansion of N in N 14.865 * [backup-simplify]: Simplify 0 into 0 14.865 * [backup-simplify]: Simplify 1 into 1 14.865 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 14.865 * [taylor]: Taking taylor expansion of N in N 14.865 * [backup-simplify]: Simplify 0 into 0 14.865 * [backup-simplify]: Simplify 1 into 1 14.865 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 14.865 * [taylor]: Taking taylor expansion of 1/3 in N 14.865 * [backup-simplify]: Simplify 1/3 into 1/3 14.865 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.865 * [taylor]: Taking taylor expansion of N in N 14.865 * [backup-simplify]: Simplify 0 into 0 14.865 * [backup-simplify]: Simplify 1 into 1 14.865 * [backup-simplify]: Simplify (+ 0 0) into 0 14.866 * [backup-simplify]: Simplify (+ 0 0) into 0 14.866 * [backup-simplify]: Simplify (+ 1 0) into 1 14.867 * [backup-simplify]: Simplify (+ 0 1) into 1 14.867 * [backup-simplify]: Simplify (log 1) into 0 14.867 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.867 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 14.867 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 14.868 * [backup-simplify]: Simplify (* (cbrt -1) (pow N 1/3)) into (* (pow N 1/3) (cbrt -1)) 14.869 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 14.869 * [backup-simplify]: Simplify (* 1 1) into 1 14.869 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.870 * [backup-simplify]: Simplify (+ 0 0) into 0 14.870 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.872 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 14.872 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.873 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (log N))) into 1/6 14.873 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow N 1/3)) 14.874 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/6 (pow N 1/3))) (* 0 (pow N 1/3))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 14.875 * [backup-simplify]: Simplify (* 1/6 (* (pow N 1/3) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 14.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.876 * [backup-simplify]: Simplify (* 1 1) into 1 14.877 * [backup-simplify]: Simplify (* 1 1) into 1 14.877 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 14.878 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 14.878 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 14.881 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 14.881 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.882 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (log N)))) into 5/72 14.883 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 14.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 14.885 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/12 (pow N 1/3))) (+ (* 0 (* 1/6 (pow N 1/3))) (* 0 (pow N 1/3)))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 14.885 * [backup-simplify]: Simplify (* 1/12 (* (pow N 1/3) (cbrt -1))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 14.886 * [backup-simplify]: Simplify (+ (* (* 1/12 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (/ 1 (- N))) (* (pow (/ 1 (- N)) 1/3) (cbrt -1)))) into (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) 14.887 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 14.887 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) into (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) 14.887 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in (N) around 0 14.887 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 14.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))))) in N 14.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) in N 14.887 * [taylor]: Taking taylor expansion of 1/3 in N 14.887 * [backup-simplify]: Simplify 1/3 into 1/3 14.887 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) in N 14.887 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 14.887 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 14.887 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 14.887 * [taylor]: Taking taylor expansion of 1/3 in N 14.887 * [backup-simplify]: Simplify 1/3 into 1/3 14.887 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 14.887 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.887 * [taylor]: Taking taylor expansion of N in N 14.887 * [backup-simplify]: Simplify 0 into 0 14.887 * [backup-simplify]: Simplify 1 into 1 14.887 * [backup-simplify]: Simplify (* 1 1) into 1 14.888 * [backup-simplify]: Simplify (* 1 1) into 1 14.888 * [backup-simplify]: Simplify (/ 1 1) into 1 14.888 * [taylor]: Taking taylor expansion of (/ 1 N) in N 14.888 * [taylor]: Taking taylor expansion of N in N 14.888 * [backup-simplify]: Simplify 0 into 0 14.888 * [backup-simplify]: Simplify 1 into 1 14.888 * [backup-simplify]: Simplify (/ 1 1) into 1 14.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 14.888 * [taylor]: Taking taylor expansion of 1/2 in N 14.888 * [backup-simplify]: Simplify 1/2 into 1/2 14.888 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 14.888 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.888 * [taylor]: Taking taylor expansion of N in N 14.888 * [backup-simplify]: Simplify 0 into 0 14.888 * [backup-simplify]: Simplify 1 into 1 14.889 * [backup-simplify]: Simplify (* 1 1) into 1 14.889 * [backup-simplify]: Simplify (/ 1 1) into 1 14.889 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 14.889 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.890 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.890 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 14.890 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 14.891 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 14.891 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 14.891 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 14.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))))) in N 14.891 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) in N 14.891 * [taylor]: Taking taylor expansion of 1/3 in N 14.891 * [backup-simplify]: Simplify 1/3 into 1/3 14.891 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) in N 14.891 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 14.891 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 14.891 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 14.891 * [taylor]: Taking taylor expansion of 1/3 in N 14.891 * [backup-simplify]: Simplify 1/3 into 1/3 14.891 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 14.891 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.891 * [taylor]: Taking taylor expansion of N in N 14.891 * [backup-simplify]: Simplify 0 into 0 14.891 * [backup-simplify]: Simplify 1 into 1 14.892 * [backup-simplify]: Simplify (* 1 1) into 1 14.892 * [backup-simplify]: Simplify (* 1 1) into 1 14.892 * [backup-simplify]: Simplify (/ 1 1) into 1 14.892 * [taylor]: Taking taylor expansion of (/ 1 N) in N 14.892 * [taylor]: Taking taylor expansion of N in N 14.892 * [backup-simplify]: Simplify 0 into 0 14.892 * [backup-simplify]: Simplify 1 into 1 14.892 * [backup-simplify]: Simplify (/ 1 1) into 1 14.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 14.892 * [taylor]: Taking taylor expansion of 1/2 in N 14.892 * [backup-simplify]: Simplify 1/2 into 1/2 14.893 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 14.893 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.893 * [taylor]: Taking taylor expansion of N in N 14.893 * [backup-simplify]: Simplify 0 into 0 14.893 * [backup-simplify]: Simplify 1 into 1 14.893 * [backup-simplify]: Simplify (* 1 1) into 1 14.893 * [backup-simplify]: Simplify (/ 1 1) into 1 14.893 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 14.894 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.894 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.894 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 14.895 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 14.895 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 14.895 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 14.896 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 14.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.898 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 14.898 * [backup-simplify]: Simplify (+ 0 0) into 0 14.898 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.898 * [backup-simplify]: Simplify (- 1/2) into -1/2 14.899 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 14.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 14.900 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 14.901 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 14.902 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 14.902 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 14.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.904 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 14.905 * [backup-simplify]: Simplify (+ 0 1) into 1 14.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.906 * [backup-simplify]: Simplify (- 0) into 0 14.906 * [backup-simplify]: Simplify (+ 1 0) into 1 14.908 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 14.909 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 14.909 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 14.911 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 14.911 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 14.912 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 14.913 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (- (/ 1 (/ 1 N)) (/ 1/2 (* (/ 1 N) (/ 1 N)))))) into (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) 14.913 * [approximate]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in (N) around 0 14.913 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 14.913 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 14.913 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 14.913 * [taylor]: Taking taylor expansion of 1/3 in N 14.913 * [backup-simplify]: Simplify 1/3 into 1/3 14.913 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 14.913 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 14.913 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 14.913 * [taylor]: Taking taylor expansion of N in N 14.913 * [backup-simplify]: Simplify 0 into 0 14.913 * [backup-simplify]: Simplify 1 into 1 14.913 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 14.913 * [taylor]: Taking taylor expansion of 1/3 in N 14.913 * [backup-simplify]: Simplify 1/3 into 1/3 14.913 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.913 * [taylor]: Taking taylor expansion of N in N 14.913 * [backup-simplify]: Simplify 0 into 0 14.913 * [backup-simplify]: Simplify 1 into 1 14.913 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 14.913 * [taylor]: Taking taylor expansion of 1/2 in N 14.913 * [backup-simplify]: Simplify 1/2 into 1/2 14.913 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.913 * [taylor]: Taking taylor expansion of N in N 14.913 * [backup-simplify]: Simplify 0 into 0 14.913 * [backup-simplify]: Simplify 1 into 1 14.913 * [backup-simplify]: Simplify (+ 0 0) into 0 14.914 * [backup-simplify]: Simplify (+ 0 0) into 0 14.914 * [backup-simplify]: Simplify (+ 1 0) into 1 14.914 * [backup-simplify]: Simplify (+ 1 0) into 1 14.915 * [backup-simplify]: Simplify (log 1) into 0 14.915 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.915 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 14.915 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 14.915 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 14.915 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 14.915 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 14.915 * [taylor]: Taking taylor expansion of 1/3 in N 14.915 * [backup-simplify]: Simplify 1/3 into 1/3 14.915 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 14.915 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 14.915 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 14.915 * [taylor]: Taking taylor expansion of N in N 14.915 * [backup-simplify]: Simplify 0 into 0 14.915 * [backup-simplify]: Simplify 1 into 1 14.915 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 14.915 * [taylor]: Taking taylor expansion of 1/3 in N 14.915 * [backup-simplify]: Simplify 1/3 into 1/3 14.915 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.915 * [taylor]: Taking taylor expansion of N in N 14.915 * [backup-simplify]: Simplify 0 into 0 14.915 * [backup-simplify]: Simplify 1 into 1 14.915 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 14.915 * [taylor]: Taking taylor expansion of 1/2 in N 14.915 * [backup-simplify]: Simplify 1/2 into 1/2 14.915 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.915 * [taylor]: Taking taylor expansion of N in N 14.915 * [backup-simplify]: Simplify 0 into 0 14.915 * [backup-simplify]: Simplify 1 into 1 14.916 * [backup-simplify]: Simplify (+ 0 0) into 0 14.916 * [backup-simplify]: Simplify (+ 0 0) into 0 14.916 * [backup-simplify]: Simplify (+ 1 0) into 1 14.916 * [backup-simplify]: Simplify (+ 1 0) into 1 14.917 * [backup-simplify]: Simplify (log 1) into 0 14.917 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.917 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 14.917 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 14.917 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 14.917 * [backup-simplify]: Simplify (+ 0 0) into 0 14.918 * [backup-simplify]: Simplify (* 1 1) into 1 14.918 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.918 * [backup-simplify]: Simplify (- 1/2) into -1/2 14.920 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 14.922 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 14.923 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.923 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 14.924 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 14.924 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 14.924 * [backup-simplify]: Simplify (* 1 1) into 1 14.924 * [backup-simplify]: Simplify (* 1 1) into 1 14.924 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 14.925 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 14.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.926 * [backup-simplify]: Simplify (- 0) into 0 14.926 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 14.928 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.929 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 14.930 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 14.930 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 14.930 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 14.930 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1 (/ 1 (- N))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N))))))) into (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) 14.930 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in (N) around 0 14.930 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in N 14.930 * [taylor]: Taking taylor expansion of (cbrt -1) in N 14.930 * [taylor]: Taking taylor expansion of -1 in N 14.930 * [backup-simplify]: Simplify -1 into -1 14.931 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 14.931 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 14.931 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3) in N 14.931 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))))) in N 14.931 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))))) in N 14.931 * [taylor]: Taking taylor expansion of 1/3 in N 14.931 * [backup-simplify]: Simplify 1/3 into 1/3 14.931 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 14.931 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 14.931 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 14.931 * [taylor]: Taking taylor expansion of 1/2 in N 14.931 * [backup-simplify]: Simplify 1/2 into 1/2 14.931 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.931 * [taylor]: Taking taylor expansion of N in N 14.931 * [backup-simplify]: Simplify 0 into 0 14.931 * [backup-simplify]: Simplify 1 into 1 14.931 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 14.932 * [taylor]: Taking taylor expansion of N in N 14.932 * [backup-simplify]: Simplify 0 into 0 14.932 * [backup-simplify]: Simplify 1 into 1 14.932 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 14.932 * [taylor]: Taking taylor expansion of 1/3 in N 14.932 * [backup-simplify]: Simplify 1/3 into 1/3 14.932 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.932 * [taylor]: Taking taylor expansion of N in N 14.932 * [backup-simplify]: Simplify 0 into 0 14.932 * [backup-simplify]: Simplify 1 into 1 14.932 * [backup-simplify]: Simplify (+ 0 0) into 0 14.932 * [backup-simplify]: Simplify (+ 0 0) into 0 14.932 * [backup-simplify]: Simplify (+ 1 0) into 1 14.933 * [backup-simplify]: Simplify (+ 0 1) into 1 14.933 * [backup-simplify]: Simplify (log 1) into 0 14.933 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.933 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 14.933 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 14.933 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in N 14.933 * [taylor]: Taking taylor expansion of (cbrt -1) in N 14.933 * [taylor]: Taking taylor expansion of -1 in N 14.933 * [backup-simplify]: Simplify -1 into -1 14.934 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 14.934 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 14.934 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3) in N 14.934 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))))) in N 14.934 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))))) in N 14.934 * [taylor]: Taking taylor expansion of 1/3 in N 14.934 * [backup-simplify]: Simplify 1/3 into 1/3 14.934 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 14.934 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 14.934 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 14.934 * [taylor]: Taking taylor expansion of 1/2 in N 14.934 * [backup-simplify]: Simplify 1/2 into 1/2 14.934 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.934 * [taylor]: Taking taylor expansion of N in N 14.934 * [backup-simplify]: Simplify 0 into 0 14.934 * [backup-simplify]: Simplify 1 into 1 14.934 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 14.934 * [taylor]: Taking taylor expansion of N in N 14.934 * [backup-simplify]: Simplify 0 into 0 14.934 * [backup-simplify]: Simplify 1 into 1 14.934 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 14.934 * [taylor]: Taking taylor expansion of 1/3 in N 14.934 * [backup-simplify]: Simplify 1/3 into 1/3 14.934 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.934 * [taylor]: Taking taylor expansion of N in N 14.934 * [backup-simplify]: Simplify 0 into 0 14.934 * [backup-simplify]: Simplify 1 into 1 14.935 * [backup-simplify]: Simplify (+ 0 0) into 0 14.935 * [backup-simplify]: Simplify (+ 0 0) into 0 14.935 * [backup-simplify]: Simplify (+ 1 0) into 1 14.936 * [backup-simplify]: Simplify (+ 0 1) into 1 14.936 * [backup-simplify]: Simplify (log 1) into 0 14.936 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.936 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 14.936 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 14.937 * [backup-simplify]: Simplify (* (cbrt -1) (pow N 1/3)) into (* (pow N 1/3) (cbrt -1)) 14.937 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 14.937 * [backup-simplify]: Simplify (* 1 1) into 1 14.937 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.938 * [backup-simplify]: Simplify (+ 0 0) into 0 14.938 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.939 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 14.939 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.939 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (log N))) into 1/6 14.940 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow N 1/3)) 14.940 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/6 (pow N 1/3))) (* 0 (pow N 1/3))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 14.941 * [backup-simplify]: Simplify (* 1/6 (* (pow N 1/3) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 14.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.942 * [backup-simplify]: Simplify (* 1 1) into 1 14.942 * [backup-simplify]: Simplify (* 1 1) into 1 14.942 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 14.943 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 14.943 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 14.946 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 14.947 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 14.948 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (log N)))) into 5/72 14.949 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 14.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 14.952 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/12 (pow N 1/3))) (+ (* 0 (* 1/6 (pow N 1/3))) (* 0 (pow N 1/3)))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 14.953 * [backup-simplify]: Simplify (* 1/12 (* (pow N 1/3) (cbrt -1))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 14.955 * [backup-simplify]: Simplify (+ (* (* 1/12 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (/ 1 (- N))) (* (pow (/ 1 (- N)) 1/3) (cbrt -1)))) into (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) 14.955 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 14.956 * [backup-simplify]: Simplify (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 14.956 * [approximate]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 14.956 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 14.956 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 14.956 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 14.956 * [taylor]: Taking taylor expansion of 1/3 in N 14.956 * [backup-simplify]: Simplify 1/3 into 1/3 14.956 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 14.956 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.956 * [taylor]: Taking taylor expansion of N in N 14.956 * [backup-simplify]: Simplify 0 into 0 14.956 * [backup-simplify]: Simplify 1 into 1 14.956 * [backup-simplify]: Simplify (* 1 1) into 1 14.957 * [backup-simplify]: Simplify (* 1 1) into 1 14.957 * [backup-simplify]: Simplify (/ 1 1) into 1 14.957 * [taylor]: Taking taylor expansion of (/ 1 N) in N 14.957 * [taylor]: Taking taylor expansion of N in N 14.957 * [backup-simplify]: Simplify 0 into 0 14.957 * [backup-simplify]: Simplify 1 into 1 14.958 * [backup-simplify]: Simplify (/ 1 1) into 1 14.958 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 14.958 * [taylor]: Taking taylor expansion of 1/2 in N 14.958 * [backup-simplify]: Simplify 1/2 into 1/2 14.958 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 14.958 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.958 * [taylor]: Taking taylor expansion of N in N 14.958 * [backup-simplify]: Simplify 0 into 0 14.958 * [backup-simplify]: Simplify 1 into 1 14.958 * [backup-simplify]: Simplify (* 1 1) into 1 14.959 * [backup-simplify]: Simplify (/ 1 1) into 1 14.959 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 14.959 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 14.959 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 14.959 * [taylor]: Taking taylor expansion of 1/3 in N 14.959 * [backup-simplify]: Simplify 1/3 into 1/3 14.959 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 14.959 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.959 * [taylor]: Taking taylor expansion of N in N 14.959 * [backup-simplify]: Simplify 0 into 0 14.959 * [backup-simplify]: Simplify 1 into 1 14.959 * [backup-simplify]: Simplify (* 1 1) into 1 14.960 * [backup-simplify]: Simplify (* 1 1) into 1 14.960 * [backup-simplify]: Simplify (/ 1 1) into 1 14.960 * [taylor]: Taking taylor expansion of (/ 1 N) in N 14.960 * [taylor]: Taking taylor expansion of N in N 14.960 * [backup-simplify]: Simplify 0 into 0 14.960 * [backup-simplify]: Simplify 1 into 1 14.961 * [backup-simplify]: Simplify (/ 1 1) into 1 14.961 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 14.961 * [taylor]: Taking taylor expansion of 1/2 in N 14.961 * [backup-simplify]: Simplify 1/2 into 1/2 14.961 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 14.961 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.961 * [taylor]: Taking taylor expansion of N in N 14.961 * [backup-simplify]: Simplify 0 into 0 14.961 * [backup-simplify]: Simplify 1 into 1 14.961 * [backup-simplify]: Simplify (* 1 1) into 1 14.961 * [backup-simplify]: Simplify (/ 1 1) into 1 14.962 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 14.962 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.963 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.963 * [backup-simplify]: Simplify 1/3 into 1/3 14.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.966 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 14.966 * [backup-simplify]: Simplify (+ 0 0) into 0 14.966 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.967 * [backup-simplify]: Simplify (- 1/2) into -1/2 14.967 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 14.967 * [backup-simplify]: Simplify -1/2 into -1/2 14.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.971 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 14.971 * [backup-simplify]: Simplify (+ 0 1) into 1 14.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.974 * [backup-simplify]: Simplify (- 0) into 0 14.974 * [backup-simplify]: Simplify (+ 1 0) into 1 14.974 * [backup-simplify]: Simplify 1 into 1 14.975 * [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)))) 14.975 * [backup-simplify]: Simplify (+ (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (- (/ 1 (/ 1 N)) (/ 1/2 (* (/ 1 N) (/ 1 N))))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 14.975 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 14.975 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 14.975 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 14.975 * [taylor]: Taking taylor expansion of N in N 14.975 * [backup-simplify]: Simplify 0 into 0 14.975 * [backup-simplify]: Simplify 1 into 1 14.975 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 14.975 * [taylor]: Taking taylor expansion of 1/3 in N 14.975 * [backup-simplify]: Simplify 1/3 into 1/3 14.975 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.975 * [taylor]: Taking taylor expansion of N in N 14.976 * [backup-simplify]: Simplify 0 into 0 14.976 * [backup-simplify]: Simplify 1 into 1 14.976 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 14.976 * [taylor]: Taking taylor expansion of 1/2 in N 14.976 * [backup-simplify]: Simplify 1/2 into 1/2 14.976 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.976 * [taylor]: Taking taylor expansion of N in N 14.976 * [backup-simplify]: Simplify 0 into 0 14.976 * [backup-simplify]: Simplify 1 into 1 14.976 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 14.976 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 14.976 * [taylor]: Taking taylor expansion of N in N 14.976 * [backup-simplify]: Simplify 0 into 0 14.976 * [backup-simplify]: Simplify 1 into 1 14.976 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 14.976 * [taylor]: Taking taylor expansion of 1/3 in N 14.976 * [backup-simplify]: Simplify 1/3 into 1/3 14.976 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.976 * [taylor]: Taking taylor expansion of N in N 14.976 * [backup-simplify]: Simplify 0 into 0 14.976 * [backup-simplify]: Simplify 1 into 1 14.976 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 14.976 * [taylor]: Taking taylor expansion of 1/2 in N 14.976 * [backup-simplify]: Simplify 1/2 into 1/2 14.976 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.976 * [taylor]: Taking taylor expansion of N in N 14.976 * [backup-simplify]: Simplify 0 into 0 14.976 * [backup-simplify]: Simplify 1 into 1 14.977 * [backup-simplify]: Simplify (+ 0 0) into 0 14.977 * [backup-simplify]: Simplify (+ 0 0) into 0 14.977 * [backup-simplify]: Simplify 0 into 0 14.977 * [backup-simplify]: Simplify (+ 1 0) into 1 14.978 * [backup-simplify]: Simplify (+ 1 0) into 1 14.978 * [backup-simplify]: Simplify 1 into 1 14.978 * [backup-simplify]: Simplify (+ 0 0) into 0 14.979 * [backup-simplify]: Simplify (* 1 1) into 1 14.979 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.979 * [backup-simplify]: Simplify (- 1/2) into -1/2 14.980 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 14.980 * [backup-simplify]: Simplify -1/2 into -1/2 14.980 * [backup-simplify]: Simplify (* 1 1) into 1 14.981 * [backup-simplify]: Simplify (* 1 1) into 1 14.981 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 14.982 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 14.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.983 * [backup-simplify]: Simplify (- 0) into 0 14.984 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 14.984 * [backup-simplify]: Simplify 1/3 into 1/3 14.984 * [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)))) 14.985 * [backup-simplify]: Simplify (+ (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1 (/ 1 (- N))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))))) into (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) 14.985 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in (N) around 0 14.985 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 14.985 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 14.985 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 14.985 * [taylor]: Taking taylor expansion of 1/2 in N 14.985 * [backup-simplify]: Simplify 1/2 into 1/2 14.985 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.985 * [taylor]: Taking taylor expansion of N in N 14.985 * [backup-simplify]: Simplify 0 into 0 14.985 * [backup-simplify]: Simplify 1 into 1 14.985 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 14.985 * [taylor]: Taking taylor expansion of N in N 14.985 * [backup-simplify]: Simplify 0 into 0 14.985 * [backup-simplify]: Simplify 1 into 1 14.985 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 14.985 * [taylor]: Taking taylor expansion of 1/3 in N 14.985 * [backup-simplify]: Simplify 1/3 into 1/3 14.985 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.985 * [taylor]: Taking taylor expansion of N in N 14.985 * [backup-simplify]: Simplify 0 into 0 14.985 * [backup-simplify]: Simplify 1 into 1 14.985 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 14.985 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 14.985 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 14.985 * [taylor]: Taking taylor expansion of 1/2 in N 14.985 * [backup-simplify]: Simplify 1/2 into 1/2 14.985 * [taylor]: Taking taylor expansion of (pow N 2) in N 14.985 * [taylor]: Taking taylor expansion of N in N 14.986 * [backup-simplify]: Simplify 0 into 0 14.986 * [backup-simplify]: Simplify 1 into 1 14.986 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 14.986 * [taylor]: Taking taylor expansion of N in N 14.986 * [backup-simplify]: Simplify 0 into 0 14.986 * [backup-simplify]: Simplify 1 into 1 14.986 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 14.986 * [taylor]: Taking taylor expansion of 1/3 in N 14.986 * [backup-simplify]: Simplify 1/3 into 1/3 14.986 * [taylor]: Taking taylor expansion of (pow N 3) in N 14.986 * [taylor]: Taking taylor expansion of N in N 14.986 * [backup-simplify]: Simplify 0 into 0 14.986 * [backup-simplify]: Simplify 1 into 1 14.986 * [backup-simplify]: Simplify (+ 0 0) into 0 14.987 * [backup-simplify]: Simplify (+ 0 0) into 0 14.987 * [backup-simplify]: Simplify (- 0) into 0 14.987 * [backup-simplify]: Simplify 0 into 0 14.988 * [backup-simplify]: Simplify (+ 1 0) into 1 14.989 * [backup-simplify]: Simplify (+ 0 1) into 1 14.989 * [backup-simplify]: Simplify (- 1) into -1 14.989 * [backup-simplify]: Simplify -1 into -1 14.990 * [backup-simplify]: Simplify (* 1 1) into 1 14.990 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.990 * [backup-simplify]: Simplify (+ 0 0) into 0 14.991 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.991 * [backup-simplify]: Simplify (- 1/2) into -1/2 14.991 * [backup-simplify]: Simplify -1/2 into -1/2 14.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.993 * [backup-simplify]: Simplify (* 1 1) into 1 14.993 * [backup-simplify]: Simplify (* 1 1) into 1 14.994 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 14.994 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 14.995 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 14.995 * [backup-simplify]: Simplify (- 1/3) into -1/3 14.995 * [backup-simplify]: Simplify -1/3 into -1/3 14.996 * [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)))) 14.996 * * * [progress]: simplifying candidates 14.996 * * * * [progress]: [ 1 / 94 ] simplifiying candidate # 14.996 * * * * [progress]: [ 2 / 94 ] simplifiying candidate # 14.996 * * * * [progress]: [ 3 / 94 ] simplifiying candidate # 14.996 * * * * [progress]: [ 4 / 94 ] simplifiying candidate # 14.996 * * * * [progress]: [ 5 / 94 ] simplifiying candidate # 14.996 * * * * [progress]: [ 6 / 94 ] simplifiying candidate # 14.996 * * * * [progress]: [ 7 / 94 ] simplifiying candidate # 14.996 * * * * [progress]: [ 8 / 94 ] simplifiying candidate # 14.996 * * * * [progress]: [ 9 / 94 ] simplifiying candidate # 14.997 * * * * [progress]: [ 10 / 94 ] simplifiying candidate # 14.997 * * * * [progress]: [ 11 / 94 ] simplifiying candidate # 14.997 * * * * [progress]: [ 12 / 94 ] simplifiying candidate # 14.997 * * * * [progress]: [ 13 / 94 ] simplifiying candidate # 14.997 * * * * [progress]: [ 14 / 94 ] simplifiying candidate # 14.997 * * * * [progress]: [ 15 / 94 ] simplifiying candidate # 14.997 * * * * [progress]: [ 16 / 94 ] simplifiying candidate # 14.997 * * * * [progress]: [ 17 / 94 ] simplifiying candidate # 14.997 * * * * [progress]: [ 18 / 94 ] simplifiying candidate # 14.997 * * * * [progress]: [ 19 / 94 ] simplifiying candidate # 14.997 * * * * [progress]: [ 20 / 94 ] simplifiying candidate #real (real->posit16 (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))))))> 14.998 * * * * [progress]: [ 21 / 94 ] simplifiying candidate # 14.998 * * * * [progress]: [ 22 / 94 ] simplifiying candidate # 14.998 * * * * [progress]: [ 23 / 94 ] simplifiying candidate # 14.998 * * * * [progress]: [ 24 / 94 ] simplifiying candidate # 14.998 * * * * [progress]: [ 25 / 94 ] simplifiying candidate # 14.998 * * * * [progress]: [ 26 / 94 ] simplifiying candidate # 14.998 * * * * [progress]: [ 27 / 94 ] simplifiying candidate # 14.998 * * * * [progress]: [ 28 / 94 ] simplifiying candidate # 14.998 * * * * [progress]: [ 29 / 94 ] simplifiying candidate # 14.998 * * * * [progress]: [ 30 / 94 ] simplifiying candidate # 14.998 * * * * [progress]: [ 31 / 94 ] simplifiying candidate # 14.998 * * * * [progress]: [ 32 / 94 ] simplifiying candidate # 14.999 * * * * [progress]: [ 33 / 94 ] simplifiying candidate # 14.999 * * * * [progress]: [ 34 / 94 ] simplifiying candidate # 14.999 * * * * [progress]: [ 35 / 94 ] simplifiying candidate # 14.999 * * * * [progress]: [ 36 / 94 ] simplifiying candidate # 14.999 * * * * [progress]: [ 37 / 94 ] simplifiying candidate # 14.999 * * * * [progress]: [ 38 / 94 ] simplifiying candidate # 14.999 * * * * [progress]: [ 39 / 94 ] simplifiying candidate # 14.999 * * * * [progress]: [ 40 / 94 ] simplifiying candidate #real (real->posit16 (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))))) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))))> 14.999 * * * * [progress]: [ 41 / 94 ] simplifiying candidate # 14.999 * * * * [progress]: [ 42 / 94 ] simplifiying candidate # 14.999 * * * * [progress]: [ 43 / 94 ] simplifiying candidate # 14.999 * * * * [progress]: [ 44 / 94 ] simplifiying candidate # 15.000 * * * * [progress]: [ 45 / 94 ] simplifiying candidate # 15.000 * * * * [progress]: [ 46 / 94 ] simplifiying candidate # 15.000 * * * * [progress]: [ 47 / 94 ] simplifiying candidate # 15.000 * * * * [progress]: [ 48 / 94 ] simplifiying candidate # 15.000 * * * * [progress]: [ 49 / 94 ] simplifiying candidate # 15.000 * * * * [progress]: [ 50 / 94 ] simplifiying candidate # 15.000 * * * * [progress]: [ 51 / 94 ] simplifiying candidate # 15.000 * * * * [progress]: [ 52 / 94 ] simplifiying candidate # 15.000 * * * * [progress]: [ 53 / 94 ] simplifiying candidate # 15.000 * * * * [progress]: [ 54 / 94 ] simplifiying candidate # 15.000 * * * * [progress]: [ 55 / 94 ] simplifiying candidate # 15.001 * * * * [progress]: [ 56 / 94 ] simplifiying candidate # 15.001 * * * * [progress]: [ 57 / 94 ] simplifiying candidate # 15.001 * * * * [progress]: [ 58 / 94 ] simplifiying candidate # 15.001 * * * * [progress]: [ 59 / 94 ] simplifiying candidate # 15.001 * * * * [progress]: [ 60 / 94 ] simplifiying candidate #real (real->posit16 (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)))))))> 15.001 * * * * [progress]: [ 61 / 94 ] simplifiying candidate # 15.001 * * * * [progress]: [ 62 / 94 ] simplifiying candidate # 15.001 * * * * [progress]: [ 63 / 94 ] simplifiying candidate # 15.001 * * * * [progress]: [ 64 / 94 ] simplifiying candidate # 15.001 * * * * [progress]: [ 65 / 94 ] simplifiying candidate # 15.001 * * * * [progress]: [ 66 / 94 ] simplifiying candidate # 15.001 * * * * [progress]: [ 67 / 94 ] simplifiying candidate # 15.002 * * * * [progress]: [ 68 / 94 ] simplifiying candidate # 15.002 * * * * [progress]: [ 69 / 94 ] simplifiying candidate # 15.002 * * * * [progress]: [ 70 / 94 ] simplifiying candidate # 15.002 * * * * [progress]: [ 71 / 94 ] simplifiying candidate # 15.002 * * * * [progress]: [ 72 / 94 ] simplifiying candidate # 15.002 * * * * [progress]: [ 73 / 94 ] simplifiying candidate # 15.002 * * * * [progress]: [ 74 / 94 ] simplifiying candidate # 15.002 * * * * [progress]: [ 75 / 94 ] simplifiying candidate # 15.002 * * * * [progress]: [ 76 / 94 ] simplifiying candidate # 15.002 * * * * [progress]: [ 77 / 94 ] simplifiying candidate # 15.002 * * * * [progress]: [ 78 / 94 ] simplifiying candidate # 15.002 * * * * [progress]: [ 79 / 94 ] simplifiying candidate # 15.003 * * * * [progress]: [ 80 / 94 ] simplifiying candidate # 15.003 * * * * [progress]: [ 81 / 94 ] simplifiying candidate #real (real->posit16 (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))))))> 15.003 * * * * [progress]: [ 82 / 94 ] simplifiying candidate # 15.003 * * * * [progress]: [ 83 / 94 ] simplifiying candidate # 15.003 * * * * [progress]: [ 84 / 94 ] simplifiying candidate # 15.003 * * * * [progress]: [ 85 / 94 ] simplifiying candidate # 15.003 * * * * [progress]: [ 86 / 94 ] simplifiying candidate # 15.003 * * * * [progress]: [ 87 / 94 ] simplifiying candidate # 15.004 * * * * [progress]: [ 88 / 94 ] simplifiying candidate # 15.004 * * * * [progress]: [ 89 / 94 ] simplifiying candidate # 15.004 * * * * [progress]: [ 90 / 94 ] simplifiying candidate # 15.004 * * * * [progress]: [ 91 / 94 ] simplifiying candidate # 15.004 * * * * [progress]: [ 92 / 94 ] simplifiying candidate # 15.004 * * * * [progress]: [ 93 / 94 ] simplifiying candidate # 15.004 * * * * [progress]: [ 94 / 94 ] simplifiying candidate # 15.007 * [simplify]: Simplifying: (log (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (exp (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (* (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 (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (sqrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (sqrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt (+ (* (/ 1/3 N) (* N (* N N))) (* (* N N) (- (* 1 (* N N)) (* N 1/2))))) (cbrt (* (* N N) (* N (* N N)))) (cbrt (+ (* (/ 1/3 N) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N)))))) (* (* N N) (- (pow (/ 1 N) 3) (pow (/ 1/2 (* N N)) 3))))) (cbrt (* (* N N) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N))))))) (cbrt (+ (* (/ 1/3 N) (+ (/ 1 N) (/ 1/2 (* N N)))) (* (* N N) (- (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N))))))) (cbrt (* (* N N) (+ (/ 1 N) (/ 1/2 (* N N))))) (cbrt (+ (pow (/ (/ 1/3 N) (* N N)) 3) (pow (- (/ 1 N) (/ 1/2 (* N N))) 3))) (cbrt (+ (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (- (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (* (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))))) (cbrt (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (- (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (* (cbrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))))) (cbrt (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)))))) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (sqrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (sqrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (real->posit16 (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (log (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (exp (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (* (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 (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (sqrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (sqrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt (+ (* (/ 1/3 N) (* N (* N N))) (* (* N N) (- (* 1 (* N N)) (* N 1/2))))) (cbrt (* (* N N) (* N (* N N)))) (cbrt (+ (* (/ 1/3 N) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N)))))) (* (* N N) (- (pow (/ 1 N) 3) (pow (/ 1/2 (* N N)) 3))))) (cbrt (* (* N N) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N))))))) (cbrt (+ (* (/ 1/3 N) (+ (/ 1 N) (/ 1/2 (* N N)))) (* (* N N) (- (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N))))))) (cbrt (* (* N N) (+ (/ 1 N) (/ 1/2 (* N N))))) (cbrt (+ (pow (/ (/ 1/3 N) (* N N)) 3) (pow (- (/ 1 N) (/ 1/2 (* N N))) 3))) (cbrt (+ (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (- (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (* (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))))) (cbrt (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (- (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (* (cbrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))))) (cbrt (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)))))) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (sqrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (sqrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (real->posit16 (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (log (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (exp (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (* (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 (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (sqrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (sqrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt (+ (* (/ 1/3 N) (* N (* N N))) (* (* N N) (- (* 1 (* N N)) (* N 1/2))))) (cbrt (* (* N N) (* N (* N N)))) (cbrt (+ (* (/ 1/3 N) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N)))))) (* (* N N) (- (pow (/ 1 N) 3) (pow (/ 1/2 (* N N)) 3))))) (cbrt (* (* N N) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N))))))) (cbrt (+ (* (/ 1/3 N) (+ (/ 1 N) (/ 1/2 (* N N)))) (* (* N N) (- (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N))))))) (cbrt (* (* N N) (+ (/ 1 N) (/ 1/2 (* N N))))) (cbrt (+ (pow (/ (/ 1/3 N) (* N N)) 3) (pow (- (/ 1 N) (/ 1/2 (* N N))) 3))) (cbrt (+ (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (- (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (* (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))))) (cbrt (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (- (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (* (cbrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))))) (cbrt (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)))))) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (sqrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (sqrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (real->posit16 (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (* (exp (/ (/ 1/3 N) (* N N))) (/ (exp (/ 1 N)) (exp (/ 1/2 (* N N))))) (* (exp (/ (/ 1/3 N) (* N N))) (exp (- (/ 1 N) (/ 1/2 (* N N))))) (log (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (exp (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (* (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (* (* (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (sqrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (sqrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (+ (* (/ 1/3 N) (* N (* N N))) (* (* N N) (- (* 1 (* N N)) (* N 1/2)))) (* (* N N) (* N (* N N))) (+ (* (/ 1/3 N) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N)))))) (* (* N N) (- (pow (/ 1 N) 3) (pow (/ 1/2 (* N N)) 3)))) (* (* N N) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N)))))) (+ (* (/ 1/3 N) (+ (/ 1 N) (/ 1/2 (* N N)))) (* (* N N) (- (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))))) (* (* N N) (+ (/ 1 N) (/ 1/2 (* N N)))) (+ (pow (/ (/ 1/3 N) (* N N)) 3) (pow (- (/ 1 N) (/ 1/2 (* N N))) 3)) (+ (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (- (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (* (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (- (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))) (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (real->posit16 (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) (- (+ (/ 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)))) 15.011 * * [simplify]: iteration 1: (138 enodes) 15.071 * * [simplify]: iteration 2: (384 enodes) 15.479 * * [simplify]: iteration 3: (1575 enodes) 19.093 * * [simplify]: Extracting #0: cost 41 inf + 0 19.094 * * [simplify]: Extracting #1: cost 294 inf + 1 19.100 * * [simplify]: Extracting #2: cost 1302 inf + 961 19.116 * * [simplify]: Extracting #3: cost 1689 inf + 23725 19.192 * * [simplify]: Extracting #4: cost 731 inf + 277910 19.311 * * [simplify]: Extracting #5: cost 159 inf + 453281 19.454 * * [simplify]: Extracting #6: cost 103 inf + 465349 19.602 * * [simplify]: Extracting #7: cost 64 inf + 485822 19.741 * * [simplify]: Extracting #8: cost 21 inf + 504479 19.878 * * [simplify]: Extracting #9: cost 1 inf + 515808 20.043 * * [simplify]: Extracting #10: cost 0 inf + 516453 20.205 * [simplify]: Simplified to: (log (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (exp (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (* (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 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (sqrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (sqrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) 1 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) 1 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) 1 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) 1 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) (cbrt (* (* N N) (+ (* N (- N 1/2)) (* (/ 1/3 N) N)))) (cbrt (* (* (* N N) N) (* N N))) (cbrt (+ (/ (+ (* (+ (/ 1/3 N) (* (/ 1/2 (* N N)) 1/3)) (/ 1/2 (* N N))) (/ 1/3 (* N N))) N) (+ (* 1/2 (- (* (/ 1/2 (* N N)) (/ 1/2 (* N N))))) (/ N (* N N))))) (cbrt (+ (* (/ 1/2 (* N N)) (+ 1/2 N)) 1)) (cbrt (+ (+ (+ (- (/ 1/2 (/ (* N N) 1/2))) 1) (/ 1/3 (* N N))) (* (/ 1/2 (* N N)) (/ 1/3 N)))) (cbrt (+ 1/2 N)) (cbrt (+ (/ 1/27 (* (* (* N N) N) (* (* (* N N) (* N N)) (* N N)))) (* (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (+ (/ (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* N N)) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/3 (* (* N N) N)))))) (cbrt (- (/ (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* N N)) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (+ (/ 1/2 (* N N)) (- (/ 1/3 (* (* N N) N)) (/ 1 N)))) (* (cbrt (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))))) (cbrt (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))) (sqrt (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (sqrt (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (real->posit16 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (log (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (exp (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (* (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 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (sqrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (sqrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) 1 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) 1 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) 1 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) 1 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) (cbrt (* (* N N) (+ (* N (- N 1/2)) (* (/ 1/3 N) N)))) (cbrt (* (* (* N N) N) (* N N))) (cbrt (+ (/ (+ (* (+ (/ 1/3 N) (* (/ 1/2 (* N N)) 1/3)) (/ 1/2 (* N N))) (/ 1/3 (* N N))) N) (+ (* 1/2 (- (* (/ 1/2 (* N N)) (/ 1/2 (* N N))))) (/ N (* N N))))) (cbrt (+ (* (/ 1/2 (* N N)) (+ 1/2 N)) 1)) (cbrt (+ (+ (+ (- (/ 1/2 (/ (* N N) 1/2))) 1) (/ 1/3 (* N N))) (* (/ 1/2 (* N N)) (/ 1/3 N)))) (cbrt (+ 1/2 N)) (cbrt (+ (/ 1/27 (* (* (* N N) N) (* (* (* N N) (* N N)) (* N N)))) (* (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (+ (/ (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* N N)) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/3 (* (* N N) N)))))) (cbrt (- (/ (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* N N)) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (+ (/ 1/2 (* N N)) (- (/ 1/3 (* (* N N) N)) (/ 1 N)))) (* (cbrt (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))))) (cbrt (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))) (sqrt (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (sqrt (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (real->posit16 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (log (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (exp (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (* (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 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (sqrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (sqrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) 1 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) 1 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) 1 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) 1 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) (cbrt (* (* N N) (+ (* N (- N 1/2)) (* (/ 1/3 N) N)))) (cbrt (* (* (* N N) N) (* N N))) (cbrt (+ (/ (+ (* (+ (/ 1/3 N) (* (/ 1/2 (* N N)) 1/3)) (/ 1/2 (* N N))) (/ 1/3 (* N N))) N) (+ (* 1/2 (- (* (/ 1/2 (* N N)) (/ 1/2 (* N N))))) (/ N (* N N))))) (cbrt (+ (* (/ 1/2 (* N N)) (+ 1/2 N)) 1)) (cbrt (+ (+ (+ (- (/ 1/2 (/ (* N N) 1/2))) 1) (/ 1/3 (* N N))) (* (/ 1/2 (* N N)) (/ 1/3 N)))) (cbrt (+ 1/2 N)) (cbrt (+ (/ 1/27 (* (* (* N N) N) (* (* (* N N) (* N N)) (* N N)))) (* (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (+ (/ (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* N N)) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/3 (* (* N N) N)))))) (cbrt (- (/ (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* N N)) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (+ (/ 1/2 (* N N)) (- (/ 1/3 (* (* N N) N)) (/ 1 N)))) (* (cbrt (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))))) (cbrt (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))) (sqrt (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (sqrt (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (real->posit16 (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (exp (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/3 (* (* N N) N)))) (exp (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/3 (* (* N N) N)))) (log (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) (exp (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/3 (* (* N N) N)))) (* (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))))) (cbrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) (* (* (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))) (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) (sqrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) (sqrt (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) (* (* N N) (+ (* N (- N 1/2)) (* (/ 1/3 N) N))) (* (* (* N N) N) (* N N)) (+ (/ (+ (* (+ (/ 1/3 N) (* (/ 1/2 (* N N)) 1/3)) (/ 1/2 (* N N))) (/ 1/3 (* N N))) N) (+ (* 1/2 (- (* (/ 1/2 (* N N)) (/ 1/2 (* N N))))) (/ N (* N N)))) (+ (* (/ 1/2 (* N N)) (+ 1/2 N)) 1) (+ (+ (+ (- (/ 1/2 (/ (* N N) 1/2))) 1) (/ 1/3 (* N N))) (* (/ 1/2 (* N N)) (/ 1/3 N))) (+ 1/2 N) (+ (/ 1/27 (* (* (* N N) N) (* (* (* N N) (* N N)) (* N N)))) (* (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (- (/ 1 N) (/ 1/2 (* N N))))) (+ (/ (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* N N)) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (- (/ 1 N) (/ 1/2 (* N N))) (/ 1/3 (* (* N N) N))))) (- (/ (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* N N)) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))) (+ (/ 1/2 (* N N)) (- (/ 1/3 (* (* N N) N)) (/ 1 N))) (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))) (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))) (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))) (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (real->posit16 (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N)))) (+ (exp (* (+ (* (log N) -3) (log 1/3)) 1/3)) (* (exp (* (+ (* (log N) -3) (log 1/3)) 1/3)) (- (* (* N N) 3/4) (* N 1/2)))) (+ (* (cbrt (/ 1 (pow N 7))) 1/12) (+ (* (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))) -1/6) (cbrt (/ 1 N)))) (* (cbrt -1) (+ (+ (* 1/12 (cbrt (/ -1 (pow N 7)))) (* -1/6 (cbrt (/ -1 (* (* N N) (* N N)))))) (cbrt (/ -1 N)))) (+ (exp (* (+ (* (log N) -3) (log 1/3)) 1/3)) (* (exp (* (+ (* (log N) -3) (log 1/3)) 1/3)) (- (* (* N N) 3/4) (* N 1/2)))) (+ (* (cbrt (/ 1 (pow N 7))) 1/12) (+ (* (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))) -1/6) (cbrt (/ 1 N)))) (* (cbrt -1) (+ (+ (* 1/12 (cbrt (/ -1 (pow N 7)))) (* -1/6 (cbrt (/ -1 (* (* N N) (* N N)))))) (cbrt (/ -1 N)))) (+ (exp (* (+ (* (log N) -3) (log 1/3)) 1/3)) (* (exp (* (+ (* (log N) -3) (log 1/3)) 1/3)) (- (* (* N N) 3/4) (* N 1/2)))) (+ (* (cbrt (/ 1 (pow N 7))) 1/12) (+ (* (cbrt (* (/ (/ 1 N) N) (/ (/ 1 N) N))) -1/6) (cbrt (/ 1 N)))) (* (cbrt -1) (+ (+ (* 1/12 (cbrt (/ -1 (pow N 7)))) (* -1/6 (cbrt (/ -1 (* (* N N) (* N N)))))) (cbrt (/ -1 N)))) (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))) (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))) (- (+ (/ 1/3 (* (* N N) N)) (/ 1 N)) (/ 1/2 (* N N))) 20.233 * * * [progress]: adding candidates to table 21.288 * * [progress]: iteration 4 / 4 21.288 * * * [progress]: picking best candidate 21.299 * * * * [pick]: Picked # 21.299 * * * [progress]: localizing error 21.375 * * * [progress]: generating rewritten candidates 21.375 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 21.424 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1) 21.480 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 21.529 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 21.590 * * * [progress]: generating series expansions 21.590 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 21.591 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) into (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) 21.591 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in (N) around 0 21.591 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 21.591 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))))) in N 21.591 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) in N 21.591 * [taylor]: Taking taylor expansion of 1/3 in N 21.591 * [backup-simplify]: Simplify 1/3 into 1/3 21.591 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) in N 21.591 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 21.591 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 21.591 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 21.591 * [taylor]: Taking taylor expansion of 1/3 in N 21.591 * [backup-simplify]: Simplify 1/3 into 1/3 21.591 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 21.591 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.591 * [taylor]: Taking taylor expansion of N in N 21.591 * [backup-simplify]: Simplify 0 into 0 21.591 * [backup-simplify]: Simplify 1 into 1 21.592 * [backup-simplify]: Simplify (* 1 1) into 1 21.592 * [backup-simplify]: Simplify (* 1 1) into 1 21.593 * [backup-simplify]: Simplify (/ 1 1) into 1 21.593 * [taylor]: Taking taylor expansion of (/ 1 N) in N 21.593 * [taylor]: Taking taylor expansion of N in N 21.593 * [backup-simplify]: Simplify 0 into 0 21.593 * [backup-simplify]: Simplify 1 into 1 21.593 * [backup-simplify]: Simplify (/ 1 1) into 1 21.593 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 21.593 * [taylor]: Taking taylor expansion of 1/2 in N 21.593 * [backup-simplify]: Simplify 1/2 into 1/2 21.593 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 21.593 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.593 * [taylor]: Taking taylor expansion of N in N 21.593 * [backup-simplify]: Simplify 0 into 0 21.593 * [backup-simplify]: Simplify 1 into 1 21.593 * [backup-simplify]: Simplify (* 1 1) into 1 21.594 * [backup-simplify]: Simplify (/ 1 1) into 1 21.594 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 21.595 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.595 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.595 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 21.596 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 21.596 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 21.597 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 21.597 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 21.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))))) in N 21.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) in N 21.597 * [taylor]: Taking taylor expansion of 1/3 in N 21.597 * [backup-simplify]: Simplify 1/3 into 1/3 21.597 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) in N 21.597 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 21.597 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 21.597 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 21.597 * [taylor]: Taking taylor expansion of 1/3 in N 21.597 * [backup-simplify]: Simplify 1/3 into 1/3 21.597 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 21.597 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.597 * [taylor]: Taking taylor expansion of N in N 21.597 * [backup-simplify]: Simplify 0 into 0 21.597 * [backup-simplify]: Simplify 1 into 1 21.598 * [backup-simplify]: Simplify (* 1 1) into 1 21.598 * [backup-simplify]: Simplify (* 1 1) into 1 21.598 * [backup-simplify]: Simplify (/ 1 1) into 1 21.598 * [taylor]: Taking taylor expansion of (/ 1 N) in N 21.598 * [taylor]: Taking taylor expansion of N in N 21.598 * [backup-simplify]: Simplify 0 into 0 21.598 * [backup-simplify]: Simplify 1 into 1 21.599 * [backup-simplify]: Simplify (/ 1 1) into 1 21.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 21.599 * [taylor]: Taking taylor expansion of 1/2 in N 21.599 * [backup-simplify]: Simplify 1/2 into 1/2 21.599 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 21.599 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.599 * [taylor]: Taking taylor expansion of N in N 21.599 * [backup-simplify]: Simplify 0 into 0 21.599 * [backup-simplify]: Simplify 1 into 1 21.599 * [backup-simplify]: Simplify (* 1 1) into 1 21.600 * [backup-simplify]: Simplify (/ 1 1) into 1 21.600 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 21.600 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.601 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.601 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 21.602 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 21.602 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 21.603 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 21.603 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 21.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.606 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 21.606 * [backup-simplify]: Simplify (+ 0 0) into 0 21.606 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.607 * [backup-simplify]: Simplify (- 1/2) into -1/2 21.607 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 21.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 21.609 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 21.610 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 21.612 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 21.612 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 21.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.616 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 21.616 * [backup-simplify]: Simplify (+ 0 1) into 1 21.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.622 * [backup-simplify]: Simplify (- 0) into 0 21.622 * [backup-simplify]: Simplify (+ 1 0) into 1 21.626 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 21.627 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 21.628 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 21.629 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 21.629 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 21.630 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 21.631 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (- (/ 1 (/ 1 N)) (/ 1/2 (* (/ 1 N) (/ 1 N)))))) into (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) 21.631 * [approximate]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in (N) around 0 21.631 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 21.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 21.631 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 21.631 * [taylor]: Taking taylor expansion of 1/3 in N 21.631 * [backup-simplify]: Simplify 1/3 into 1/3 21.631 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 21.631 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 21.631 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 21.631 * [taylor]: Taking taylor expansion of N in N 21.631 * [backup-simplify]: Simplify 0 into 0 21.631 * [backup-simplify]: Simplify 1 into 1 21.631 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 21.631 * [taylor]: Taking taylor expansion of 1/3 in N 21.631 * [backup-simplify]: Simplify 1/3 into 1/3 21.631 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.631 * [taylor]: Taking taylor expansion of N in N 21.631 * [backup-simplify]: Simplify 0 into 0 21.631 * [backup-simplify]: Simplify 1 into 1 21.631 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 21.631 * [taylor]: Taking taylor expansion of 1/2 in N 21.631 * [backup-simplify]: Simplify 1/2 into 1/2 21.631 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.631 * [taylor]: Taking taylor expansion of N in N 21.631 * [backup-simplify]: Simplify 0 into 0 21.631 * [backup-simplify]: Simplify 1 into 1 21.632 * [backup-simplify]: Simplify (+ 0 0) into 0 21.632 * [backup-simplify]: Simplify (+ 0 0) into 0 21.632 * [backup-simplify]: Simplify (+ 1 0) into 1 21.632 * [backup-simplify]: Simplify (+ 1 0) into 1 21.633 * [backup-simplify]: Simplify (log 1) into 0 21.633 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.633 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 21.633 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 21.633 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 21.633 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 21.633 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 21.633 * [taylor]: Taking taylor expansion of 1/3 in N 21.633 * [backup-simplify]: Simplify 1/3 into 1/3 21.633 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 21.633 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 21.633 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 21.633 * [taylor]: Taking taylor expansion of N in N 21.633 * [backup-simplify]: Simplify 0 into 0 21.633 * [backup-simplify]: Simplify 1 into 1 21.633 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 21.633 * [taylor]: Taking taylor expansion of 1/3 in N 21.633 * [backup-simplify]: Simplify 1/3 into 1/3 21.633 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.633 * [taylor]: Taking taylor expansion of N in N 21.633 * [backup-simplify]: Simplify 0 into 0 21.633 * [backup-simplify]: Simplify 1 into 1 21.633 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 21.633 * [taylor]: Taking taylor expansion of 1/2 in N 21.633 * [backup-simplify]: Simplify 1/2 into 1/2 21.633 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.633 * [taylor]: Taking taylor expansion of N in N 21.633 * [backup-simplify]: Simplify 0 into 0 21.633 * [backup-simplify]: Simplify 1 into 1 21.634 * [backup-simplify]: Simplify (+ 0 0) into 0 21.634 * [backup-simplify]: Simplify (+ 0 0) into 0 21.634 * [backup-simplify]: Simplify (+ 1 0) into 1 21.635 * [backup-simplify]: Simplify (+ 1 0) into 1 21.635 * [backup-simplify]: Simplify (log 1) into 0 21.635 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.635 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 21.635 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 21.635 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 21.636 * [backup-simplify]: Simplify (+ 0 0) into 0 21.636 * [backup-simplify]: Simplify (* 1 1) into 1 21.636 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.636 * [backup-simplify]: Simplify (- 1/2) into -1/2 21.637 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 21.637 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 21.638 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.638 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 21.639 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 21.639 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 21.639 * [backup-simplify]: Simplify (* 1 1) into 1 21.639 * [backup-simplify]: Simplify (* 1 1) into 1 21.640 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 21.640 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 21.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.641 * [backup-simplify]: Simplify (- 0) into 0 21.641 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.643 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 21.643 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.644 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 21.645 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 21.645 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 21.645 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 21.646 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1 (/ 1 (- N))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N))))))) into (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) 21.646 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in (N) around 0 21.646 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in N 21.646 * [taylor]: Taking taylor expansion of (cbrt -1) in N 21.646 * [taylor]: Taking taylor expansion of -1 in N 21.646 * [backup-simplify]: Simplify -1 into -1 21.646 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 21.647 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 21.647 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3) in N 21.647 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))))) in N 21.647 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))))) in N 21.647 * [taylor]: Taking taylor expansion of 1/3 in N 21.647 * [backup-simplify]: Simplify 1/3 into 1/3 21.647 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 21.647 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 21.647 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 21.647 * [taylor]: Taking taylor expansion of 1/2 in N 21.647 * [backup-simplify]: Simplify 1/2 into 1/2 21.647 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.647 * [taylor]: Taking taylor expansion of N in N 21.647 * [backup-simplify]: Simplify 0 into 0 21.647 * [backup-simplify]: Simplify 1 into 1 21.647 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 21.647 * [taylor]: Taking taylor expansion of N in N 21.647 * [backup-simplify]: Simplify 0 into 0 21.647 * [backup-simplify]: Simplify 1 into 1 21.647 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 21.647 * [taylor]: Taking taylor expansion of 1/3 in N 21.647 * [backup-simplify]: Simplify 1/3 into 1/3 21.647 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.647 * [taylor]: Taking taylor expansion of N in N 21.647 * [backup-simplify]: Simplify 0 into 0 21.647 * [backup-simplify]: Simplify 1 into 1 21.647 * [backup-simplify]: Simplify (+ 0 0) into 0 21.648 * [backup-simplify]: Simplify (+ 0 0) into 0 21.648 * [backup-simplify]: Simplify (+ 1 0) into 1 21.648 * [backup-simplify]: Simplify (+ 0 1) into 1 21.648 * [backup-simplify]: Simplify (log 1) into 0 21.649 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.649 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 21.649 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 21.649 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in N 21.649 * [taylor]: Taking taylor expansion of (cbrt -1) in N 21.649 * [taylor]: Taking taylor expansion of -1 in N 21.649 * [backup-simplify]: Simplify -1 into -1 21.649 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 21.649 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 21.649 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3) in N 21.649 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))))) in N 21.650 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))))) in N 21.650 * [taylor]: Taking taylor expansion of 1/3 in N 21.650 * [backup-simplify]: Simplify 1/3 into 1/3 21.650 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 21.650 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 21.650 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 21.650 * [taylor]: Taking taylor expansion of 1/2 in N 21.650 * [backup-simplify]: Simplify 1/2 into 1/2 21.650 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.650 * [taylor]: Taking taylor expansion of N in N 21.650 * [backup-simplify]: Simplify 0 into 0 21.650 * [backup-simplify]: Simplify 1 into 1 21.650 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 21.650 * [taylor]: Taking taylor expansion of N in N 21.650 * [backup-simplify]: Simplify 0 into 0 21.650 * [backup-simplify]: Simplify 1 into 1 21.650 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 21.650 * [taylor]: Taking taylor expansion of 1/3 in N 21.650 * [backup-simplify]: Simplify 1/3 into 1/3 21.650 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.650 * [taylor]: Taking taylor expansion of N in N 21.650 * [backup-simplify]: Simplify 0 into 0 21.650 * [backup-simplify]: Simplify 1 into 1 21.650 * [backup-simplify]: Simplify (+ 0 0) into 0 21.650 * [backup-simplify]: Simplify (+ 0 0) into 0 21.651 * [backup-simplify]: Simplify (+ 1 0) into 1 21.651 * [backup-simplify]: Simplify (+ 0 1) into 1 21.651 * [backup-simplify]: Simplify (log 1) into 0 21.651 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.651 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 21.652 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 21.652 * [backup-simplify]: Simplify (* (cbrt -1) (pow N 1/3)) into (* (pow N 1/3) (cbrt -1)) 21.652 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 21.653 * [backup-simplify]: Simplify (* 1 1) into 1 21.653 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.653 * [backup-simplify]: Simplify (+ 0 0) into 0 21.653 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 21.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 21.655 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.655 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (log N))) into 1/6 21.656 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow N 1/3)) 21.657 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/6 (pow N 1/3))) (* 0 (pow N 1/3))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 21.657 * [backup-simplify]: Simplify (* 1/6 (* (pow N 1/3) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 21.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.658 * [backup-simplify]: Simplify (* 1 1) into 1 21.659 * [backup-simplify]: Simplify (* 1 1) into 1 21.659 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 21.659 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 21.659 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 21.661 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 21.662 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.662 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (log N)))) into 5/72 21.663 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 21.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 21.664 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/12 (pow N 1/3))) (+ (* 0 (* 1/6 (pow N 1/3))) (* 0 (pow N 1/3)))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 21.665 * [backup-simplify]: Simplify (* 1/12 (* (pow N 1/3) (cbrt -1))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 21.666 * [backup-simplify]: Simplify (+ (* (* 1/12 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (/ 1 (- N))) (* (pow (/ 1 (- N)) 1/3) (cbrt -1)))) into (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) 21.666 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1) 21.667 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) into (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) 21.667 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in (N) around 0 21.667 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 21.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))))) in N 21.667 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) in N 21.667 * [taylor]: Taking taylor expansion of 1/3 in N 21.667 * [backup-simplify]: Simplify 1/3 into 1/3 21.667 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) in N 21.667 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 21.667 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 21.667 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 21.667 * [taylor]: Taking taylor expansion of 1/3 in N 21.667 * [backup-simplify]: Simplify 1/3 into 1/3 21.667 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 21.667 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.667 * [taylor]: Taking taylor expansion of N in N 21.667 * [backup-simplify]: Simplify 0 into 0 21.667 * [backup-simplify]: Simplify 1 into 1 21.668 * [backup-simplify]: Simplify (* 1 1) into 1 21.668 * [backup-simplify]: Simplify (* 1 1) into 1 21.669 * [backup-simplify]: Simplify (/ 1 1) into 1 21.669 * [taylor]: Taking taylor expansion of (/ 1 N) in N 21.669 * [taylor]: Taking taylor expansion of N in N 21.669 * [backup-simplify]: Simplify 0 into 0 21.669 * [backup-simplify]: Simplify 1 into 1 21.669 * [backup-simplify]: Simplify (/ 1 1) into 1 21.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 21.669 * [taylor]: Taking taylor expansion of 1/2 in N 21.669 * [backup-simplify]: Simplify 1/2 into 1/2 21.669 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 21.669 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.669 * [taylor]: Taking taylor expansion of N in N 21.669 * [backup-simplify]: Simplify 0 into 0 21.669 * [backup-simplify]: Simplify 1 into 1 21.670 * [backup-simplify]: Simplify (* 1 1) into 1 21.670 * [backup-simplify]: Simplify (/ 1 1) into 1 21.671 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 21.671 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.671 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.672 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 21.673 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 21.673 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 21.674 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 21.674 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 21.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))))) in N 21.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) in N 21.674 * [taylor]: Taking taylor expansion of 1/3 in N 21.674 * [backup-simplify]: Simplify 1/3 into 1/3 21.674 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) in N 21.674 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 21.674 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 21.674 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 21.674 * [taylor]: Taking taylor expansion of 1/3 in N 21.674 * [backup-simplify]: Simplify 1/3 into 1/3 21.674 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 21.674 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.674 * [taylor]: Taking taylor expansion of N in N 21.674 * [backup-simplify]: Simplify 0 into 0 21.674 * [backup-simplify]: Simplify 1 into 1 21.675 * [backup-simplify]: Simplify (* 1 1) into 1 21.675 * [backup-simplify]: Simplify (* 1 1) into 1 21.675 * [backup-simplify]: Simplify (/ 1 1) into 1 21.675 * [taylor]: Taking taylor expansion of (/ 1 N) in N 21.675 * [taylor]: Taking taylor expansion of N in N 21.675 * [backup-simplify]: Simplify 0 into 0 21.675 * [backup-simplify]: Simplify 1 into 1 21.676 * [backup-simplify]: Simplify (/ 1 1) into 1 21.676 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 21.676 * [taylor]: Taking taylor expansion of 1/2 in N 21.676 * [backup-simplify]: Simplify 1/2 into 1/2 21.676 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 21.676 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.676 * [taylor]: Taking taylor expansion of N in N 21.676 * [backup-simplify]: Simplify 0 into 0 21.676 * [backup-simplify]: Simplify 1 into 1 21.676 * [backup-simplify]: Simplify (* 1 1) into 1 21.677 * [backup-simplify]: Simplify (/ 1 1) into 1 21.677 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 21.678 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.678 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.679 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 21.679 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 21.680 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 21.680 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 21.681 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 21.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.684 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 21.685 * [backup-simplify]: Simplify (+ 0 0) into 0 21.685 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.685 * [backup-simplify]: Simplify (- 1/2) into -1/2 21.686 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 21.687 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 21.688 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 21.689 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 21.691 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 21.691 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 21.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.695 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 21.696 * [backup-simplify]: Simplify (+ 0 1) into 1 21.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.698 * [backup-simplify]: Simplify (- 0) into 0 21.699 * [backup-simplify]: Simplify (+ 1 0) into 1 21.702 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 21.703 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 21.704 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 21.706 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 21.707 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 21.708 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 21.709 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (- (/ 1 (/ 1 N)) (/ 1/2 (* (/ 1 N) (/ 1 N)))))) into (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) 21.709 * [approximate]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in (N) around 0 21.709 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 21.709 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 21.709 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 21.709 * [taylor]: Taking taylor expansion of 1/3 in N 21.709 * [backup-simplify]: Simplify 1/3 into 1/3 21.709 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 21.709 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 21.709 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 21.709 * [taylor]: Taking taylor expansion of N in N 21.709 * [backup-simplify]: Simplify 0 into 0 21.709 * [backup-simplify]: Simplify 1 into 1 21.709 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 21.709 * [taylor]: Taking taylor expansion of 1/3 in N 21.709 * [backup-simplify]: Simplify 1/3 into 1/3 21.709 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.709 * [taylor]: Taking taylor expansion of N in N 21.709 * [backup-simplify]: Simplify 0 into 0 21.709 * [backup-simplify]: Simplify 1 into 1 21.709 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 21.709 * [taylor]: Taking taylor expansion of 1/2 in N 21.709 * [backup-simplify]: Simplify 1/2 into 1/2 21.709 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.709 * [taylor]: Taking taylor expansion of N in N 21.709 * [backup-simplify]: Simplify 0 into 0 21.709 * [backup-simplify]: Simplify 1 into 1 21.709 * [backup-simplify]: Simplify (+ 0 0) into 0 21.710 * [backup-simplify]: Simplify (+ 0 0) into 0 21.710 * [backup-simplify]: Simplify (+ 1 0) into 1 21.711 * [backup-simplify]: Simplify (+ 1 0) into 1 21.711 * [backup-simplify]: Simplify (log 1) into 0 21.711 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.711 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 21.711 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 21.711 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 21.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 21.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 21.712 * [taylor]: Taking taylor expansion of 1/3 in N 21.712 * [backup-simplify]: Simplify 1/3 into 1/3 21.712 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 21.712 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 21.712 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 21.712 * [taylor]: Taking taylor expansion of N in N 21.712 * [backup-simplify]: Simplify 0 into 0 21.712 * [backup-simplify]: Simplify 1 into 1 21.712 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 21.712 * [taylor]: Taking taylor expansion of 1/3 in N 21.712 * [backup-simplify]: Simplify 1/3 into 1/3 21.712 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.712 * [taylor]: Taking taylor expansion of N in N 21.712 * [backup-simplify]: Simplify 0 into 0 21.712 * [backup-simplify]: Simplify 1 into 1 21.712 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 21.712 * [taylor]: Taking taylor expansion of 1/2 in N 21.712 * [backup-simplify]: Simplify 1/2 into 1/2 21.712 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.712 * [taylor]: Taking taylor expansion of N in N 21.712 * [backup-simplify]: Simplify 0 into 0 21.712 * [backup-simplify]: Simplify 1 into 1 21.712 * [backup-simplify]: Simplify (+ 0 0) into 0 21.713 * [backup-simplify]: Simplify (+ 0 0) into 0 21.713 * [backup-simplify]: Simplify (+ 1 0) into 1 21.713 * [backup-simplify]: Simplify (+ 1 0) into 1 21.714 * [backup-simplify]: Simplify (log 1) into 0 21.714 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.714 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 21.714 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 21.714 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 21.715 * [backup-simplify]: Simplify (+ 0 0) into 0 21.715 * [backup-simplify]: Simplify (* 1 1) into 1 21.715 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.716 * [backup-simplify]: Simplify (- 1/2) into -1/2 21.716 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 21.717 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 21.718 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.718 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 21.719 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 21.719 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 21.720 * [backup-simplify]: Simplify (* 1 1) into 1 21.720 * [backup-simplify]: Simplify (* 1 1) into 1 21.720 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 21.721 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 21.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.722 * [backup-simplify]: Simplify (- 0) into 0 21.723 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.727 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 21.728 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.729 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 21.731 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 21.731 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 21.731 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 21.732 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1 (/ 1 (- N))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N))))))) into (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) 21.732 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in (N) around 0 21.732 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in N 21.732 * [taylor]: Taking taylor expansion of (cbrt -1) in N 21.732 * [taylor]: Taking taylor expansion of -1 in N 21.732 * [backup-simplify]: Simplify -1 into -1 21.733 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 21.733 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 21.734 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3) in N 21.734 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))))) in N 21.734 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))))) in N 21.734 * [taylor]: Taking taylor expansion of 1/3 in N 21.734 * [backup-simplify]: Simplify 1/3 into 1/3 21.734 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 21.734 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 21.734 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 21.734 * [taylor]: Taking taylor expansion of 1/2 in N 21.734 * [backup-simplify]: Simplify 1/2 into 1/2 21.734 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.734 * [taylor]: Taking taylor expansion of N in N 21.734 * [backup-simplify]: Simplify 0 into 0 21.734 * [backup-simplify]: Simplify 1 into 1 21.734 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 21.734 * [taylor]: Taking taylor expansion of N in N 21.734 * [backup-simplify]: Simplify 0 into 0 21.734 * [backup-simplify]: Simplify 1 into 1 21.734 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 21.734 * [taylor]: Taking taylor expansion of 1/3 in N 21.734 * [backup-simplify]: Simplify 1/3 into 1/3 21.734 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.734 * [taylor]: Taking taylor expansion of N in N 21.734 * [backup-simplify]: Simplify 0 into 0 21.734 * [backup-simplify]: Simplify 1 into 1 21.735 * [backup-simplify]: Simplify (+ 0 0) into 0 21.735 * [backup-simplify]: Simplify (+ 0 0) into 0 21.736 * [backup-simplify]: Simplify (+ 1 0) into 1 21.736 * [backup-simplify]: Simplify (+ 0 1) into 1 21.737 * [backup-simplify]: Simplify (log 1) into 0 21.737 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.737 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 21.737 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 21.737 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in N 21.737 * [taylor]: Taking taylor expansion of (cbrt -1) in N 21.737 * [taylor]: Taking taylor expansion of -1 in N 21.737 * [backup-simplify]: Simplify -1 into -1 21.738 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 21.739 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 21.739 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3) in N 21.739 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))))) in N 21.739 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))))) in N 21.739 * [taylor]: Taking taylor expansion of 1/3 in N 21.739 * [backup-simplify]: Simplify 1/3 into 1/3 21.739 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 21.739 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 21.739 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 21.739 * [taylor]: Taking taylor expansion of 1/2 in N 21.739 * [backup-simplify]: Simplify 1/2 into 1/2 21.739 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.739 * [taylor]: Taking taylor expansion of N in N 21.739 * [backup-simplify]: Simplify 0 into 0 21.739 * [backup-simplify]: Simplify 1 into 1 21.739 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 21.739 * [taylor]: Taking taylor expansion of N in N 21.739 * [backup-simplify]: Simplify 0 into 0 21.739 * [backup-simplify]: Simplify 1 into 1 21.739 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 21.739 * [taylor]: Taking taylor expansion of 1/3 in N 21.739 * [backup-simplify]: Simplify 1/3 into 1/3 21.739 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.739 * [taylor]: Taking taylor expansion of N in N 21.739 * [backup-simplify]: Simplify 0 into 0 21.739 * [backup-simplify]: Simplify 1 into 1 21.740 * [backup-simplify]: Simplify (+ 0 0) into 0 21.740 * [backup-simplify]: Simplify (+ 0 0) into 0 21.740 * [backup-simplify]: Simplify (+ 1 0) into 1 21.741 * [backup-simplify]: Simplify (+ 0 1) into 1 21.741 * [backup-simplify]: Simplify (log 1) into 0 21.741 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.742 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 21.742 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 21.742 * [backup-simplify]: Simplify (* (cbrt -1) (pow N 1/3)) into (* (pow N 1/3) (cbrt -1)) 21.748 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 21.749 * [backup-simplify]: Simplify (* 1 1) into 1 21.749 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.750 * [backup-simplify]: Simplify (+ 0 0) into 0 21.750 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 21.752 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 21.752 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.753 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (log N))) into 1/6 21.754 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow N 1/3)) 21.755 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/6 (pow N 1/3))) (* 0 (pow N 1/3))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 21.755 * [backup-simplify]: Simplify (* 1/6 (* (pow N 1/3) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 21.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.757 * [backup-simplify]: Simplify (* 1 1) into 1 21.758 * [backup-simplify]: Simplify (* 1 1) into 1 21.758 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 21.758 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 21.759 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 21.762 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 21.763 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.763 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (log N)))) into 5/72 21.764 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 21.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 21.765 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/12 (pow N 1/3))) (+ (* 0 (* 1/6 (pow N 1/3))) (* 0 (pow N 1/3)))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 21.766 * [backup-simplify]: Simplify (* 1/12 (* (pow N 1/3) (cbrt -1))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 21.767 * [backup-simplify]: Simplify (+ (* (* 1/12 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (/ 1 (- N))) (* (pow (/ 1 (- N)) 1/3) (cbrt -1)))) into (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) 21.767 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 21.768 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) into (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) 21.768 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in (N) around 0 21.768 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 21.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))))) in N 21.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) in N 21.768 * [taylor]: Taking taylor expansion of 1/3 in N 21.768 * [backup-simplify]: Simplify 1/3 into 1/3 21.768 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) in N 21.768 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 21.768 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 21.768 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 21.768 * [taylor]: Taking taylor expansion of 1/3 in N 21.768 * [backup-simplify]: Simplify 1/3 into 1/3 21.768 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 21.768 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.768 * [taylor]: Taking taylor expansion of N in N 21.768 * [backup-simplify]: Simplify 0 into 0 21.768 * [backup-simplify]: Simplify 1 into 1 21.768 * [backup-simplify]: Simplify (* 1 1) into 1 21.768 * [backup-simplify]: Simplify (* 1 1) into 1 21.769 * [backup-simplify]: Simplify (/ 1 1) into 1 21.769 * [taylor]: Taking taylor expansion of (/ 1 N) in N 21.769 * [taylor]: Taking taylor expansion of N in N 21.769 * [backup-simplify]: Simplify 0 into 0 21.769 * [backup-simplify]: Simplify 1 into 1 21.769 * [backup-simplify]: Simplify (/ 1 1) into 1 21.769 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 21.769 * [taylor]: Taking taylor expansion of 1/2 in N 21.769 * [backup-simplify]: Simplify 1/2 into 1/2 21.769 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 21.769 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.769 * [taylor]: Taking taylor expansion of N in N 21.769 * [backup-simplify]: Simplify 0 into 0 21.769 * [backup-simplify]: Simplify 1 into 1 21.769 * [backup-simplify]: Simplify (* 1 1) into 1 21.770 * [backup-simplify]: Simplify (/ 1 1) into 1 21.770 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 21.770 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.770 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.771 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 21.771 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 21.771 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 21.772 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 21.772 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 21.772 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))))) in N 21.772 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) in N 21.772 * [taylor]: Taking taylor expansion of 1/3 in N 21.772 * [backup-simplify]: Simplify 1/3 into 1/3 21.772 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) in N 21.772 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 21.772 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 21.772 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 21.772 * [taylor]: Taking taylor expansion of 1/3 in N 21.772 * [backup-simplify]: Simplify 1/3 into 1/3 21.772 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 21.772 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.772 * [taylor]: Taking taylor expansion of N in N 21.772 * [backup-simplify]: Simplify 0 into 0 21.772 * [backup-simplify]: Simplify 1 into 1 21.772 * [backup-simplify]: Simplify (* 1 1) into 1 21.772 * [backup-simplify]: Simplify (* 1 1) into 1 21.773 * [backup-simplify]: Simplify (/ 1 1) into 1 21.773 * [taylor]: Taking taylor expansion of (/ 1 N) in N 21.773 * [taylor]: Taking taylor expansion of N in N 21.773 * [backup-simplify]: Simplify 0 into 0 21.773 * [backup-simplify]: Simplify 1 into 1 21.773 * [backup-simplify]: Simplify (/ 1 1) into 1 21.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 21.773 * [taylor]: Taking taylor expansion of 1/2 in N 21.773 * [backup-simplify]: Simplify 1/2 into 1/2 21.773 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 21.773 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.773 * [taylor]: Taking taylor expansion of N in N 21.773 * [backup-simplify]: Simplify 0 into 0 21.773 * [backup-simplify]: Simplify 1 into 1 21.773 * [backup-simplify]: Simplify (* 1 1) into 1 21.774 * [backup-simplify]: Simplify (/ 1 1) into 1 21.774 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 21.774 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.774 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.775 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 21.775 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 21.775 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 21.776 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 21.776 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 21.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.778 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 21.778 * [backup-simplify]: Simplify (+ 0 0) into 0 21.778 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.779 * [backup-simplify]: Simplify (- 1/2) into -1/2 21.779 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 21.780 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 21.780 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 21.781 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 21.781 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 21.782 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 21.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.784 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 21.785 * [backup-simplify]: Simplify (+ 0 1) into 1 21.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.786 * [backup-simplify]: Simplify (- 0) into 0 21.786 * [backup-simplify]: Simplify (+ 1 0) into 1 21.788 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 21.789 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 21.789 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 21.790 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 21.791 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 21.792 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 21.792 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (- (/ 1 (/ 1 N)) (/ 1/2 (* (/ 1 N) (/ 1 N)))))) into (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) 21.792 * [approximate]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in (N) around 0 21.792 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 21.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 21.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 21.792 * [taylor]: Taking taylor expansion of 1/3 in N 21.792 * [backup-simplify]: Simplify 1/3 into 1/3 21.792 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 21.792 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 21.792 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 21.792 * [taylor]: Taking taylor expansion of N in N 21.792 * [backup-simplify]: Simplify 0 into 0 21.792 * [backup-simplify]: Simplify 1 into 1 21.792 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 21.792 * [taylor]: Taking taylor expansion of 1/3 in N 21.792 * [backup-simplify]: Simplify 1/3 into 1/3 21.792 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.792 * [taylor]: Taking taylor expansion of N in N 21.792 * [backup-simplify]: Simplify 0 into 0 21.792 * [backup-simplify]: Simplify 1 into 1 21.792 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 21.792 * [taylor]: Taking taylor expansion of 1/2 in N 21.792 * [backup-simplify]: Simplify 1/2 into 1/2 21.792 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.792 * [taylor]: Taking taylor expansion of N in N 21.792 * [backup-simplify]: Simplify 0 into 0 21.792 * [backup-simplify]: Simplify 1 into 1 21.793 * [backup-simplify]: Simplify (+ 0 0) into 0 21.793 * [backup-simplify]: Simplify (+ 0 0) into 0 21.793 * [backup-simplify]: Simplify (+ 1 0) into 1 21.794 * [backup-simplify]: Simplify (+ 1 0) into 1 21.794 * [backup-simplify]: Simplify (log 1) into 0 21.794 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.794 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 21.794 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 21.794 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 21.794 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 21.794 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 21.794 * [taylor]: Taking taylor expansion of 1/3 in N 21.794 * [backup-simplify]: Simplify 1/3 into 1/3 21.794 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 21.794 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 21.794 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 21.794 * [taylor]: Taking taylor expansion of N in N 21.794 * [backup-simplify]: Simplify 0 into 0 21.794 * [backup-simplify]: Simplify 1 into 1 21.794 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 21.794 * [taylor]: Taking taylor expansion of 1/3 in N 21.794 * [backup-simplify]: Simplify 1/3 into 1/3 21.794 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.794 * [taylor]: Taking taylor expansion of N in N 21.794 * [backup-simplify]: Simplify 0 into 0 21.794 * [backup-simplify]: Simplify 1 into 1 21.794 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 21.794 * [taylor]: Taking taylor expansion of 1/2 in N 21.794 * [backup-simplify]: Simplify 1/2 into 1/2 21.794 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.794 * [taylor]: Taking taylor expansion of N in N 21.794 * [backup-simplify]: Simplify 0 into 0 21.795 * [backup-simplify]: Simplify 1 into 1 21.795 * [backup-simplify]: Simplify (+ 0 0) into 0 21.795 * [backup-simplify]: Simplify (+ 0 0) into 0 21.795 * [backup-simplify]: Simplify (+ 1 0) into 1 21.796 * [backup-simplify]: Simplify (+ 1 0) into 1 21.796 * [backup-simplify]: Simplify (log 1) into 0 21.797 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.797 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 21.797 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 21.797 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 21.797 * [backup-simplify]: Simplify (+ 0 0) into 0 21.797 * [backup-simplify]: Simplify (* 1 1) into 1 21.798 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.798 * [backup-simplify]: Simplify (- 1/2) into -1/2 21.799 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 21.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 21.800 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.801 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 21.801 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 21.802 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 21.802 * [backup-simplify]: Simplify (* 1 1) into 1 21.802 * [backup-simplify]: Simplify (* 1 1) into 1 21.803 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 21.803 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 21.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.805 * [backup-simplify]: Simplify (- 0) into 0 21.806 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.809 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 21.810 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.811 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 21.812 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 21.813 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 21.813 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 21.814 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1 (/ 1 (- N))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N))))))) into (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) 21.814 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in (N) around 0 21.814 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in N 21.814 * [taylor]: Taking taylor expansion of (cbrt -1) in N 21.814 * [taylor]: Taking taylor expansion of -1 in N 21.814 * [backup-simplify]: Simplify -1 into -1 21.815 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 21.815 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 21.815 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3) in N 21.816 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))))) in N 21.816 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))))) in N 21.816 * [taylor]: Taking taylor expansion of 1/3 in N 21.816 * [backup-simplify]: Simplify 1/3 into 1/3 21.816 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 21.816 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 21.816 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 21.816 * [taylor]: Taking taylor expansion of 1/2 in N 21.816 * [backup-simplify]: Simplify 1/2 into 1/2 21.816 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.816 * [taylor]: Taking taylor expansion of N in N 21.816 * [backup-simplify]: Simplify 0 into 0 21.816 * [backup-simplify]: Simplify 1 into 1 21.816 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 21.816 * [taylor]: Taking taylor expansion of N in N 21.816 * [backup-simplify]: Simplify 0 into 0 21.816 * [backup-simplify]: Simplify 1 into 1 21.816 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 21.816 * [taylor]: Taking taylor expansion of 1/3 in N 21.816 * [backup-simplify]: Simplify 1/3 into 1/3 21.816 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.816 * [taylor]: Taking taylor expansion of N in N 21.816 * [backup-simplify]: Simplify 0 into 0 21.816 * [backup-simplify]: Simplify 1 into 1 21.817 * [backup-simplify]: Simplify (+ 0 0) into 0 21.817 * [backup-simplify]: Simplify (+ 0 0) into 0 21.817 * [backup-simplify]: Simplify (+ 1 0) into 1 21.818 * [backup-simplify]: Simplify (+ 0 1) into 1 21.819 * [backup-simplify]: Simplify (log 1) into 0 21.819 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.819 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 21.819 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 21.820 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in N 21.820 * [taylor]: Taking taylor expansion of (cbrt -1) in N 21.820 * [taylor]: Taking taylor expansion of -1 in N 21.820 * [backup-simplify]: Simplify -1 into -1 21.820 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 21.821 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 21.821 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3) in N 21.821 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))))) in N 21.821 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))))) in N 21.821 * [taylor]: Taking taylor expansion of 1/3 in N 21.821 * [backup-simplify]: Simplify 1/3 into 1/3 21.821 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 21.821 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 21.821 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 21.821 * [taylor]: Taking taylor expansion of 1/2 in N 21.821 * [backup-simplify]: Simplify 1/2 into 1/2 21.821 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.821 * [taylor]: Taking taylor expansion of N in N 21.821 * [backup-simplify]: Simplify 0 into 0 21.821 * [backup-simplify]: Simplify 1 into 1 21.821 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 21.821 * [taylor]: Taking taylor expansion of N in N 21.821 * [backup-simplify]: Simplify 0 into 0 21.821 * [backup-simplify]: Simplify 1 into 1 21.821 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 21.821 * [taylor]: Taking taylor expansion of 1/3 in N 21.821 * [backup-simplify]: Simplify 1/3 into 1/3 21.822 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.822 * [taylor]: Taking taylor expansion of N in N 21.822 * [backup-simplify]: Simplify 0 into 0 21.822 * [backup-simplify]: Simplify 1 into 1 21.822 * [backup-simplify]: Simplify (+ 0 0) into 0 21.822 * [backup-simplify]: Simplify (+ 0 0) into 0 21.823 * [backup-simplify]: Simplify (+ 1 0) into 1 21.823 * [backup-simplify]: Simplify (+ 0 1) into 1 21.824 * [backup-simplify]: Simplify (log 1) into 0 21.824 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.825 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 21.825 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 21.825 * [backup-simplify]: Simplify (* (cbrt -1) (pow N 1/3)) into (* (pow N 1/3) (cbrt -1)) 21.826 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 21.826 * [backup-simplify]: Simplify (* 1 1) into 1 21.827 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.827 * [backup-simplify]: Simplify (+ 0 0) into 0 21.827 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 21.828 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 21.829 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.829 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (log N))) into 1/6 21.830 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow N 1/3)) 21.830 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/6 (pow N 1/3))) (* 0 (pow N 1/3))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 21.831 * [backup-simplify]: Simplify (* 1/6 (* (pow N 1/3) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 21.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.832 * [backup-simplify]: Simplify (* 1 1) into 1 21.833 * [backup-simplify]: Simplify (* 1 1) into 1 21.833 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 21.833 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 21.834 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 21.836 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 21.836 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.837 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (log N)))) into 5/72 21.838 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 21.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 21.839 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/12 (pow N 1/3))) (+ (* 0 (* 1/6 (pow N 1/3))) (* 0 (pow N 1/3)))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 21.839 * [backup-simplify]: Simplify (* 1/12 (* (pow N 1/3) (cbrt -1))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 21.841 * [backup-simplify]: Simplify (+ (* (* 1/12 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (/ 1 (- N))) (* (pow (/ 1 (- N)) 1/3) (cbrt -1)))) into (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) 21.841 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 21.841 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) into (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) 21.841 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in (N) around 0 21.841 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 21.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))))) in N 21.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) in N 21.841 * [taylor]: Taking taylor expansion of 1/3 in N 21.841 * [backup-simplify]: Simplify 1/3 into 1/3 21.841 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) in N 21.841 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 21.841 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 21.841 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 21.841 * [taylor]: Taking taylor expansion of 1/3 in N 21.841 * [backup-simplify]: Simplify 1/3 into 1/3 21.841 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 21.841 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.841 * [taylor]: Taking taylor expansion of N in N 21.841 * [backup-simplify]: Simplify 0 into 0 21.841 * [backup-simplify]: Simplify 1 into 1 21.842 * [backup-simplify]: Simplify (* 1 1) into 1 21.842 * [backup-simplify]: Simplify (* 1 1) into 1 21.842 * [backup-simplify]: Simplify (/ 1 1) into 1 21.842 * [taylor]: Taking taylor expansion of (/ 1 N) in N 21.842 * [taylor]: Taking taylor expansion of N in N 21.842 * [backup-simplify]: Simplify 0 into 0 21.842 * [backup-simplify]: Simplify 1 into 1 21.842 * [backup-simplify]: Simplify (/ 1 1) into 1 21.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 21.842 * [taylor]: Taking taylor expansion of 1/2 in N 21.843 * [backup-simplify]: Simplify 1/2 into 1/2 21.843 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 21.843 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.843 * [taylor]: Taking taylor expansion of N in N 21.843 * [backup-simplify]: Simplify 0 into 0 21.843 * [backup-simplify]: Simplify 1 into 1 21.843 * [backup-simplify]: Simplify (* 1 1) into 1 21.843 * [backup-simplify]: Simplify (/ 1 1) into 1 21.843 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 21.844 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.844 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.844 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 21.845 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 21.845 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 21.845 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 21.845 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1/3) in N 21.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))))) in N 21.845 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) in N 21.845 * [taylor]: Taking taylor expansion of 1/3 in N 21.845 * [backup-simplify]: Simplify 1/3 into 1/3 21.845 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) in N 21.845 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 21.845 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N 21.845 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 21.845 * [taylor]: Taking taylor expansion of 1/3 in N 21.845 * [backup-simplify]: Simplify 1/3 into 1/3 21.845 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 21.845 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.845 * [taylor]: Taking taylor expansion of N in N 21.845 * [backup-simplify]: Simplify 0 into 0 21.845 * [backup-simplify]: Simplify 1 into 1 21.846 * [backup-simplify]: Simplify (* 1 1) into 1 21.846 * [backup-simplify]: Simplify (* 1 1) into 1 21.846 * [backup-simplify]: Simplify (/ 1 1) into 1 21.846 * [taylor]: Taking taylor expansion of (/ 1 N) in N 21.846 * [taylor]: Taking taylor expansion of N in N 21.846 * [backup-simplify]: Simplify 0 into 0 21.846 * [backup-simplify]: Simplify 1 into 1 21.846 * [backup-simplify]: Simplify (/ 1 1) into 1 21.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 21.847 * [taylor]: Taking taylor expansion of 1/2 in N 21.847 * [backup-simplify]: Simplify 1/2 into 1/2 21.847 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 21.847 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.847 * [taylor]: Taking taylor expansion of N in N 21.847 * [backup-simplify]: Simplify 0 into 0 21.847 * [backup-simplify]: Simplify 1 into 1 21.847 * [backup-simplify]: Simplify (* 1 1) into 1 21.847 * [backup-simplify]: Simplify (/ 1 1) into 1 21.847 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 21.848 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.848 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.848 * [backup-simplify]: Simplify (log 1/3) into (log 1/3) 21.849 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 21.849 * [backup-simplify]: Simplify (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) 21.849 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 21.850 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 21.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.852 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 21.852 * [backup-simplify]: Simplify (+ 0 0) into 0 21.852 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.853 * [backup-simplify]: Simplify (- 1/2) into -1/2 21.853 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 21.854 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 21.855 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 21.856 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) 21.858 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 21.858 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 21.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.868 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 21.868 * [backup-simplify]: Simplify (+ 0 1) into 1 21.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.871 * [backup-simplify]: Simplify (- 0) into 0 21.871 * [backup-simplify]: Simplify (+ 1 0) into 1 21.874 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 21.875 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) 21.876 * [backup-simplify]: Simplify (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 21.878 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 21.879 * [backup-simplify]: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) 21.880 * [backup-simplify]: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) 21.880 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (- (/ 1 (/ 1 N)) (/ 1/2 (* (/ 1 N) (/ 1 N)))))) into (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) 21.880 * [approximate]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in (N) around 0 21.880 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 21.880 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 21.880 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 21.880 * [taylor]: Taking taylor expansion of 1/3 in N 21.880 * [backup-simplify]: Simplify 1/3 into 1/3 21.880 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 21.880 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 21.880 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 21.880 * [taylor]: Taking taylor expansion of N in N 21.880 * [backup-simplify]: Simplify 0 into 0 21.880 * [backup-simplify]: Simplify 1 into 1 21.880 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 21.880 * [taylor]: Taking taylor expansion of 1/3 in N 21.880 * [backup-simplify]: Simplify 1/3 into 1/3 21.880 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.880 * [taylor]: Taking taylor expansion of N in N 21.880 * [backup-simplify]: Simplify 0 into 0 21.880 * [backup-simplify]: Simplify 1 into 1 21.880 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 21.880 * [taylor]: Taking taylor expansion of 1/2 in N 21.880 * [backup-simplify]: Simplify 1/2 into 1/2 21.880 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.880 * [taylor]: Taking taylor expansion of N in N 21.880 * [backup-simplify]: Simplify 0 into 0 21.880 * [backup-simplify]: Simplify 1 into 1 21.881 * [backup-simplify]: Simplify (+ 0 0) into 0 21.881 * [backup-simplify]: Simplify (+ 0 0) into 0 21.881 * [backup-simplify]: Simplify (+ 1 0) into 1 21.881 * [backup-simplify]: Simplify (+ 1 0) into 1 21.882 * [backup-simplify]: Simplify (log 1) into 0 21.882 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.882 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 21.882 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 21.882 * [taylor]: Taking taylor expansion of (pow (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 1/3) in N 21.882 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))))) in N 21.882 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))))) in N 21.882 * [taylor]: Taking taylor expansion of 1/3 in N 21.882 * [backup-simplify]: Simplify 1/3 into 1/3 21.882 * [taylor]: Taking taylor expansion of (log (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))) in N 21.882 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 21.882 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 21.882 * [taylor]: Taking taylor expansion of N in N 21.882 * [backup-simplify]: Simplify 0 into 0 21.882 * [backup-simplify]: Simplify 1 into 1 21.882 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 21.882 * [taylor]: Taking taylor expansion of 1/3 in N 21.882 * [backup-simplify]: Simplify 1/3 into 1/3 21.882 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.882 * [taylor]: Taking taylor expansion of N in N 21.882 * [backup-simplify]: Simplify 0 into 0 21.882 * [backup-simplify]: Simplify 1 into 1 21.882 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 21.882 * [taylor]: Taking taylor expansion of 1/2 in N 21.882 * [backup-simplify]: Simplify 1/2 into 1/2 21.882 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.882 * [taylor]: Taking taylor expansion of N in N 21.882 * [backup-simplify]: Simplify 0 into 0 21.882 * [backup-simplify]: Simplify 1 into 1 21.883 * [backup-simplify]: Simplify (+ 0 0) into 0 21.883 * [backup-simplify]: Simplify (+ 0 0) into 0 21.883 * [backup-simplify]: Simplify (+ 1 0) into 1 21.883 * [backup-simplify]: Simplify (+ 1 0) into 1 21.884 * [backup-simplify]: Simplify (log 1) into 0 21.884 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.884 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 21.884 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 21.884 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 21.885 * [backup-simplify]: Simplify (+ 0 0) into 0 21.885 * [backup-simplify]: Simplify (* 1 1) into 1 21.885 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.885 * [backup-simplify]: Simplify (- 1/2) into -1/2 21.886 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 21.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 21.887 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.887 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 21.888 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 21.888 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 21.888 * [backup-simplify]: Simplify (* 1 1) into 1 21.888 * [backup-simplify]: Simplify (* 1 1) into 1 21.888 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 21.889 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 21.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.889 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.890 * [backup-simplify]: Simplify (- 0) into 0 21.890 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 21.892 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 21.892 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.892 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 21.893 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 21.893 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 21.894 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 21.894 * [backup-simplify]: Simplify (cbrt (+ (/ (/ 1/3 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1 (/ 1 (- N))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N))))))) into (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) 21.894 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in (N) around 0 21.894 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in N 21.894 * [taylor]: Taking taylor expansion of (cbrt -1) in N 21.894 * [taylor]: Taking taylor expansion of -1 in N 21.894 * [backup-simplify]: Simplify -1 into -1 21.894 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 21.895 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 21.895 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3) in N 21.895 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))))) in N 21.895 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))))) in N 21.895 * [taylor]: Taking taylor expansion of 1/3 in N 21.895 * [backup-simplify]: Simplify 1/3 into 1/3 21.895 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 21.895 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 21.895 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 21.895 * [taylor]: Taking taylor expansion of 1/2 in N 21.895 * [backup-simplify]: Simplify 1/2 into 1/2 21.895 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.895 * [taylor]: Taking taylor expansion of N in N 21.895 * [backup-simplify]: Simplify 0 into 0 21.895 * [backup-simplify]: Simplify 1 into 1 21.895 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 21.895 * [taylor]: Taking taylor expansion of N in N 21.895 * [backup-simplify]: Simplify 0 into 0 21.895 * [backup-simplify]: Simplify 1 into 1 21.895 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 21.895 * [taylor]: Taking taylor expansion of 1/3 in N 21.895 * [backup-simplify]: Simplify 1/3 into 1/3 21.895 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.895 * [taylor]: Taking taylor expansion of N in N 21.895 * [backup-simplify]: Simplify 0 into 0 21.895 * [backup-simplify]: Simplify 1 into 1 21.895 * [backup-simplify]: Simplify (+ 0 0) into 0 21.896 * [backup-simplify]: Simplify (+ 0 0) into 0 21.896 * [backup-simplify]: Simplify (+ 1 0) into 1 21.896 * [backup-simplify]: Simplify (+ 0 1) into 1 21.896 * [backup-simplify]: Simplify (log 1) into 0 21.897 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.897 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 21.897 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 21.897 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3)) in N 21.897 * [taylor]: Taking taylor expansion of (cbrt -1) in N 21.897 * [taylor]: Taking taylor expansion of -1 in N 21.897 * [backup-simplify]: Simplify -1 into -1 21.897 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 21.898 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 21.898 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) 1/3) in N 21.898 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))))) in N 21.898 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))))) in N 21.898 * [taylor]: Taking taylor expansion of 1/3 in N 21.898 * [backup-simplify]: Simplify 1/3 into 1/3 21.898 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3))))) in N 21.898 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (+ N (* 1/3 (pow N 3)))) in N 21.898 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 21.898 * [taylor]: Taking taylor expansion of 1/2 in N 21.898 * [backup-simplify]: Simplify 1/2 into 1/2 21.898 * [taylor]: Taking taylor expansion of (pow N 2) in N 21.898 * [taylor]: Taking taylor expansion of N in N 21.898 * [backup-simplify]: Simplify 0 into 0 21.898 * [backup-simplify]: Simplify 1 into 1 21.898 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 21.898 * [taylor]: Taking taylor expansion of N in N 21.898 * [backup-simplify]: Simplify 0 into 0 21.898 * [backup-simplify]: Simplify 1 into 1 21.898 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 21.898 * [taylor]: Taking taylor expansion of 1/3 in N 21.898 * [backup-simplify]: Simplify 1/3 into 1/3 21.898 * [taylor]: Taking taylor expansion of (pow N 3) in N 21.898 * [taylor]: Taking taylor expansion of N in N 21.898 * [backup-simplify]: Simplify 0 into 0 21.898 * [backup-simplify]: Simplify 1 into 1 21.898 * [backup-simplify]: Simplify (+ 0 0) into 0 21.898 * [backup-simplify]: Simplify (+ 0 0) into 0 21.899 * [backup-simplify]: Simplify (+ 1 0) into 1 21.899 * [backup-simplify]: Simplify (+ 0 1) into 1 21.899 * [backup-simplify]: Simplify (log 1) into 0 21.899 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.900 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 21.900 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 21.900 * [backup-simplify]: Simplify (* (cbrt -1) (pow N 1/3)) into (* (pow N 1/3) (cbrt -1)) 21.900 * [backup-simplify]: Simplify (* (pow N 1/3) (cbrt -1)) into (* (pow N 1/3) (cbrt -1)) 21.901 * [backup-simplify]: Simplify (* 1 1) into 1 21.901 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.901 * [backup-simplify]: Simplify (+ 0 0) into 0 21.901 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 21.902 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 21.902 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.903 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (log N))) into 1/6 21.903 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (pow N 1/3)) 21.904 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/6 (pow N 1/3))) (* 0 (pow N 1/3))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 21.904 * [backup-simplify]: Simplify (* 1/6 (* (pow N 1/3) (cbrt -1))) into (* 1/6 (* (pow N 1/3) (cbrt -1))) 21.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.905 * [backup-simplify]: Simplify (* 1 1) into 1 21.905 * [backup-simplify]: Simplify (* 1 1) into 1 21.906 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 21.906 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 21.906 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 21.908 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 21.909 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 21.910 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (log N)))) into 5/72 21.911 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 21.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 21.914 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/12 (pow N 1/3))) (+ (* 0 (* 1/6 (pow N 1/3))) (* 0 (pow N 1/3)))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 21.914 * [backup-simplify]: Simplify (* 1/12 (* (pow N 1/3) (cbrt -1))) into (* 1/12 (* (pow N 1/3) (cbrt -1))) 21.917 * [backup-simplify]: Simplify (+ (* (* 1/12 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (* (pow (/ 1 (- N)) 1/3) (cbrt -1))) (/ 1 (- N))) (* (pow (/ 1 (- N)) 1/3) (cbrt -1)))) into (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) 21.917 * * * [progress]: simplifying candidates 21.917 * * * * [progress]: [ 1 / 92 ] simplifiying candidate # 21.917 * * * * [progress]: [ 2 / 92 ] simplifiying candidate # 21.917 * * * * [progress]: [ 3 / 92 ] simplifiying candidate # 21.917 * * * * [progress]: [ 4 / 92 ] simplifiying candidate # 21.918 * * * * [progress]: [ 5 / 92 ] simplifiying candidate # 21.918 * * * * [progress]: [ 6 / 92 ] simplifiying candidate # 21.918 * * * * [progress]: [ 7 / 92 ] simplifiying candidate # 21.918 * * * * [progress]: [ 8 / 92 ] simplifiying candidate # 21.918 * * * * [progress]: [ 9 / 92 ] simplifiying candidate # 21.918 * * * * [progress]: [ 10 / 92 ] simplifiying candidate # 21.918 * * * * [progress]: [ 11 / 92 ] simplifiying candidate # 21.918 * * * * [progress]: [ 12 / 92 ] simplifiying candidate # 21.918 * * * * [progress]: [ 13 / 92 ] simplifiying candidate # 21.919 * * * * [progress]: [ 14 / 92 ] simplifiying candidate # 21.919 * * * * [progress]: [ 15 / 92 ] simplifiying candidate # 21.919 * * * * [progress]: [ 16 / 92 ] simplifiying candidate # 21.919 * * * * [progress]: [ 17 / 92 ] simplifiying candidate # 21.919 * * * * [progress]: [ 18 / 92 ] simplifiying candidate # 21.919 * * * * [progress]: [ 19 / 92 ] simplifiying candidate # 21.919 * * * * [progress]: [ 20 / 92 ] simplifiying candidate #real (real->posit16 (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))))))))> 21.919 * * * * [progress]: [ 21 / 92 ] simplifiying candidate # 21.919 * * * * [progress]: [ 22 / 92 ] simplifiying candidate # 21.919 * * * * [progress]: [ 23 / 92 ] simplifiying candidate # 21.920 * * * * [progress]: [ 24 / 92 ] simplifiying candidate # 21.920 * * * * [progress]: [ 25 / 92 ] simplifiying candidate # 21.920 * * * * [progress]: [ 26 / 92 ] simplifiying candidate # 21.920 * * * * [progress]: [ 27 / 92 ] simplifiying candidate # 21.920 * * * * [progress]: [ 28 / 92 ] simplifiying candidate # 21.920 * * * * [progress]: [ 29 / 92 ] simplifiying candidate # 21.920 * * * * [progress]: [ 30 / 92 ] simplifiying candidate # 21.920 * * * * [progress]: [ 31 / 92 ] simplifiying candidate # 21.920 * * * * [progress]: [ 32 / 92 ] simplifiying candidate # 21.920 * * * * [progress]: [ 33 / 92 ] simplifiying candidate # 21.921 * * * * [progress]: [ 34 / 92 ] simplifiying candidate # 21.921 * * * * [progress]: [ 35 / 92 ] simplifiying candidate # 21.921 * * * * [progress]: [ 36 / 92 ] simplifiying candidate # 21.921 * * * * [progress]: [ 37 / 92 ] simplifiying candidate # 21.921 * * * * [progress]: [ 38 / 92 ] simplifiying candidate # 21.921 * * * * [progress]: [ 39 / 92 ] simplifiying candidate # 21.921 * * * * [progress]: [ 40 / 92 ] simplifiying candidate #real (real->posit16 (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))))))) (cbrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))))))> 21.921 * * * * [progress]: [ 41 / 92 ] simplifiying candidate # 21.921 * * * * [progress]: [ 42 / 92 ] simplifiying candidate # 21.921 * * * * [progress]: [ 43 / 92 ] simplifiying candidate # 21.922 * * * * [progress]: [ 44 / 92 ] simplifiying candidate # 21.922 * * * * [progress]: [ 45 / 92 ] simplifiying candidate # 21.922 * * * * [progress]: [ 46 / 92 ] simplifiying candidate # 21.922 * * * * [progress]: [ 47 / 92 ] simplifiying candidate # 21.922 * * * * [progress]: [ 48 / 92 ] simplifiying candidate # 21.922 * * * * [progress]: [ 49 / 92 ] simplifiying candidate # 21.922 * * * * [progress]: [ 50 / 92 ] simplifiying candidate # 21.922 * * * * [progress]: [ 51 / 92 ] simplifiying candidate # 21.922 * * * * [progress]: [ 52 / 92 ] simplifiying candidate # 21.923 * * * * [progress]: [ 53 / 92 ] simplifiying candidate # 21.923 * * * * [progress]: [ 54 / 92 ] simplifiying candidate # 21.923 * * * * [progress]: [ 55 / 92 ] simplifiying candidate # 21.923 * * * * [progress]: [ 56 / 92 ] simplifiying candidate # 21.923 * * * * [progress]: [ 57 / 92 ] simplifiying candidate # 21.923 * * * * [progress]: [ 58 / 92 ] simplifiying candidate # 21.923 * * * * [progress]: [ 59 / 92 ] simplifiying candidate # 21.923 * * * * [progress]: [ 60 / 92 ] simplifiying candidate #real (real->posit16 (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))))) (cbrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))))) (cbrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))))))> 21.923 * * * * [progress]: [ 61 / 92 ] simplifiying candidate # 21.923 * * * * [progress]: [ 62 / 92 ] simplifiying candidate # 21.924 * * * * [progress]: [ 63 / 92 ] simplifiying candidate # 21.924 * * * * [progress]: [ 64 / 92 ] simplifiying candidate # 21.924 * * * * [progress]: [ 65 / 92 ] simplifiying candidate # 21.924 * * * * [progress]: [ 66 / 92 ] simplifiying candidate # 21.924 * * * * [progress]: [ 67 / 92 ] simplifiying candidate # 21.924 * * * * [progress]: [ 68 / 92 ] simplifiying candidate # 21.924 * * * * [progress]: [ 69 / 92 ] simplifiying candidate # 21.924 * * * * [progress]: [ 70 / 92 ] simplifiying candidate # 21.924 * * * * [progress]: [ 71 / 92 ] simplifiying candidate # 21.924 * * * * [progress]: [ 72 / 92 ] simplifiying candidate # 21.925 * * * * [progress]: [ 73 / 92 ] simplifiying candidate # 21.925 * * * * [progress]: [ 74 / 92 ] simplifiying candidate # 21.925 * * * * [progress]: [ 75 / 92 ] simplifiying candidate # 21.925 * * * * [progress]: [ 76 / 92 ] simplifiying candidate # 21.925 * * * * [progress]: [ 77 / 92 ] simplifiying candidate # 21.925 * * * * [progress]: [ 78 / 92 ] simplifiying candidate # 21.925 * * * * [progress]: [ 79 / 92 ] simplifiying candidate # 21.925 * * * * [progress]: [ 80 / 92 ] simplifiying candidate #real (real->posit16 (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))))) (* (* (cbrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))))) (cbrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))))))> 21.925 * * * * [progress]: [ 81 / 92 ] simplifiying candidate # 21.925 * * * * [progress]: [ 82 / 92 ] simplifiying candidate # 21.926 * * * * [progress]: [ 83 / 92 ] simplifiying candidate # 21.926 * * * * [progress]: [ 84 / 92 ] simplifiying candidate # 21.926 * * * * [progress]: [ 85 / 92 ] simplifiying candidate # 21.926 * * * * [progress]: [ 86 / 92 ] simplifiying candidate # 21.926 * * * * [progress]: [ 87 / 92 ] simplifiying candidate # 21.926 * * * * [progress]: [ 88 / 92 ] simplifiying candidate # 21.926 * * * * [progress]: [ 89 / 92 ] simplifiying candidate # 21.926 * * * * [progress]: [ 90 / 92 ] simplifiying candidate # 21.926 * * * * [progress]: [ 91 / 92 ] simplifiying candidate # 21.926 * * * * [progress]: [ 92 / 92 ] simplifiying candidate # 21.928 * [simplify]: Simplifying: (log (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (exp (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (* (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 (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (sqrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (sqrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt (+ (* (/ 1/3 N) (* N (* N N))) (* (* N N) (- (* 1 (* N N)) (* N 1/2))))) (cbrt (* (* N N) (* N (* N N)))) (cbrt (+ (* (/ 1/3 N) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N)))))) (* (* N N) (- (pow (/ 1 N) 3) (pow (/ 1/2 (* N N)) 3))))) (cbrt (* (* N N) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N))))))) (cbrt (+ (* (/ 1/3 N) (+ (/ 1 N) (/ 1/2 (* N N)))) (* (* N N) (- (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N))))))) (cbrt (* (* N N) (+ (/ 1 N) (/ 1/2 (* N N))))) (cbrt (+ (pow (/ (/ 1/3 N) (* N N)) 3) (pow (- (/ 1 N) (/ 1/2 (* N N))) 3))) (cbrt (+ (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (- (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (* (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))))) (cbrt (- (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (- (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (* (cbrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))))) (cbrt (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)))))) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (sqrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (sqrt (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (real->posit16 (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (log (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (exp (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (* (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 (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (sqrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (sqrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt 1) (cbrt (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt (+ (* (/ 1/3 N) 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(pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (pow (/ -1 N) 1/3) (cbrt -1)) (* 1/12 (* (pow (/ -1 (pow N 7)) 1/3) (cbrt -1)))) (* 1/6 (* (pow (/ -1 (pow N 4)) 1/3) (cbrt -1)))) 21.930 * * [simplify]: iteration 1: (116 enodes) 21.956 * * [simplify]: iteration 2: (336 enodes) 22.221 * * [simplify]: iteration 3: (1226 enodes) 24.246 * * [simplify]: Extracting #0: cost 24 inf + 0 24.246 * * [simplify]: Extracting #1: cost 83 inf + 1 24.247 * * [simplify]: Extracting #2: cost 332 inf + 2 24.249 * * [simplify]: Extracting #3: cost 926 inf + 2444 24.264 * * [simplify]: Extracting #4: cost 989 inf + 49885 24.310 * * [simplify]: Extracting #5: cost 360 inf + 213115 24.398 * * [simplify]: Extracting #6: cost 143 inf + 283379 24.481 * * [simplify]: Extracting #7: cost 63 inf + 306750 24.553 * * [simplify]: Extracting #8: cost 19 inf + 328674 24.683 * * [simplify]: Extracting #9: cost 0 inf + 341350 24.770 * [simplify]: Simplified to: (log (cbrt (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N))))) (exp (cbrt (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N))))) (cbrt (* (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 (cbrt (+ (/ (/ (/ 1/3 N) N) 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N)) (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)))))) (cbrt (+ N (* (/ 1/2 N) N))) (cbrt (+ (/ 1/27 (* (* (* N (* N N)) (* N (* N N))) (* N (* N N)))) (* (* (- (/ 1 N) (/ (/ 1/2 N) N)) (- (/ 1 N) (/ (/ 1/2 N) N))) (- (/ 1 N) (/ (/ 1/2 N) N))))) (cbrt (+ (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N)) (* (- (/ 1 N) (/ (/ 1/2 N) N)) (- (- (/ 1 N) (/ (/ 1/2 N) N)) (/ (/ (/ 1/3 N) N) N))))) (cbrt (- (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N)) (* (- (/ 1 N) (/ (/ 1/2 N) N)) (- (/ 1 N) (/ (/ 1/2 N) N))))) (cbrt (- (+ (/ (/ 1/2 N) N) (/ (/ (/ 1/3 N) N) N)) (/ 1 N))) (* (cbrt (cbrt (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N))))) (cbrt (cbrt (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N)))))) (cbrt (cbrt (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N))))) (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N))) (sqrt (cbrt (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N))))) (sqrt (cbrt (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N))))) (real->posit16 (cbrt (+ (/ (/ (/ 1/3 N) N) 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N))))))) (cbrt (+ (* (* (/ (/ 1/2 N) N) N) (* (/ (/ 1/2 N) N) N)) (+ (* (/ (/ 1/2 N) N) N) 1))) (cbrt (+ (+ (/ (/ 1/3 N) N) (/ (/ 1/6 N) (* N N))) (* (* N N) (- (/ 1 (* N N)) (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)))))) (cbrt (+ N (* (/ 1/2 N) N))) (cbrt (+ (/ 1/27 (* (* (* N (* N N)) (* N (* N N))) (* N (* N N)))) (* (* (- (/ 1 N) (/ (/ 1/2 N) N)) (- (/ 1 N) (/ (/ 1/2 N) N))) (- (/ 1 N) (/ (/ 1/2 N) N))))) (cbrt (+ (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N)) (* (- (/ 1 N) (/ (/ 1/2 N) N)) (- (- (/ 1 N) (/ (/ 1/2 N) N)) (/ (/ (/ 1/3 N) N) N))))) (cbrt (- (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N)) (* (- (/ 1 N) (/ (/ 1/2 N) N)) (- (/ 1 N) (/ (/ 1/2 N) N))))) (cbrt (- (+ (/ (/ 1/2 N) N) (/ (/ (/ 1/3 N) N) N)) (/ 1 N))) (* (cbrt (cbrt (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N))))) (cbrt (cbrt (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N)))))) (cbrt (cbrt (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N))))) (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N))) (sqrt 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N)) (* N N))) (cbrt (+ (+ (/ (+ (* (+ (/ 1/3 N) (* (/ (/ 1/2 N) N) 1/3)) (/ (/ 1/2 N) N)) (/ (/ 1/3 N) N)) N) (/ (/ N N) N)) (* (* N N) (/ -1/8 (* (* N (* N N)) (* N (* N N))))))) (cbrt (+ (* (* (/ (/ 1/2 N) N) N) (* (/ (/ 1/2 N) N) N)) (+ (* (/ (/ 1/2 N) N) N) 1))) (cbrt (+ (+ (/ (/ 1/3 N) N) (/ (/ 1/6 N) (* N N))) (* (* N N) (- (/ 1 (* N N)) (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)))))) (cbrt (+ N (* (/ 1/2 N) N))) (cbrt (+ (/ 1/27 (* (* (* N (* N N)) (* N (* N N))) (* N (* N N)))) (* (* (- (/ 1 N) (/ (/ 1/2 N) N)) (- (/ 1 N) (/ (/ 1/2 N) N))) (- (/ 1 N) (/ (/ 1/2 N) N))))) (cbrt (+ (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N)) (* (- (/ 1 N) (/ (/ 1/2 N) N)) (- (- (/ 1 N) (/ (/ 1/2 N) N)) (/ (/ (/ 1/3 N) N) N))))) (cbrt (- (* (/ (/ (/ 1/3 N) N) N) (/ (/ (/ 1/3 N) N) N)) (* (- (/ 1 N) (/ (/ 1/2 N) N)) (- (/ 1 N) (/ (/ 1/2 N) N))))) (cbrt (- (+ (/ (/ 1/2 N) N) (/ (/ (/ 1/3 N) N) N)) (/ 1 N))) (* (cbrt (cbrt (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N))))) (cbrt (cbrt (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N)))))) (cbrt (cbrt (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N))))) (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N))) (sqrt (cbrt (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N))))) (sqrt (cbrt (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N))))) (real->posit16 (cbrt (+ (/ (/ (/ 1/3 N) N) N) (- (/ 1 N) (/ (/ 1/2 N) N))))) (+ (* (exp (* (- (log 1/3) (* (log N) 3)) 1/3)) (+ (* 3/4 (* N N)) (* N -1/2))) (exp (* (- (log 1/3) (* (log N) 3)) 1/3))) (+ (* 1/12 (cbrt (/ 1 (pow N 7)))) (- (cbrt (/ 1 N)) (* 1/6 (cbrt (/ (/ 1 (* N N)) (* N N)))))) (* (cbrt -1) (- (+ (* (cbrt (/ -1 (pow N 7))) 1/12) (cbrt (/ -1 N))) (* (cbrt (/ -1 (* (* N N) (* N N)))) 1/6))) (+ (* (exp (* (- (log 1/3) (* (log N) 3)) 1/3)) (+ (* 3/4 (* N N)) (* N -1/2))) (exp (* (- (log 1/3) (* (log N) 3)) 1/3))) (+ (* 1/12 (cbrt (/ 1 (pow N 7)))) (- (cbrt (/ 1 N)) (* 1/6 (cbrt (/ (/ 1 (* N N)) (* N N)))))) (* (cbrt -1) (- (+ (* (cbrt (/ -1 (pow N 7))) 1/12) (cbrt (/ -1 N))) (* (cbrt (/ -1 (* (* N N) (* N N)))) 1/6))) (+ (* (exp (* (- (log 1/3) (* (log N) 3)) 1/3)) (+ (* 3/4 (* N N)) (* N -1/2))) (exp (* (- (log 1/3) (* (log N) 3)) 1/3))) (+ (* 1/12 (cbrt (/ 1 (pow N 7)))) (- (cbrt (/ 1 N)) (* 1/6 (cbrt (/ (/ 1 (* N N)) (* N N)))))) (* (cbrt -1) (- (+ (* (cbrt (/ -1 (pow N 7))) 1/12) (cbrt (/ -1 N))) (* (cbrt (/ -1 (* (* N N) (* N N)))) 1/6))) (+ (* (exp (* (- (log 1/3) (* (log N) 3)) 1/3)) (+ (* 3/4 (* N N)) (* N -1/2))) (exp (* (- (log 1/3) (* (log N) 3)) 1/3))) (+ (* 1/12 (cbrt (/ 1 (pow N 7)))) (- (cbrt (/ 1 N)) (* 1/6 (cbrt (/ (/ 1 (* N N)) (* N N)))))) (* (cbrt -1) (- (+ (* (cbrt (/ -1 (pow N 7))) 1/12) (cbrt (/ -1 N))) (* (cbrt (/ -1 (* (* N N) (* N N)))) 1/6))) 24.794 * * * [progress]: adding candidates to table 25.974 * [progress]: [Phase 3 of 3] Extracting. 25.974 * * [regime]: Finding splitpoints for: (# # # # #) 25.975 * * * [regime-changes]: Trying 1 branch expressions: (N) 25.975 * * * * [regimes]: Trying to branch on N from (# # # # #) 26.026 * * * [regime]: Found split indices: #