16.277 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.069 * * * [progress]: [2/2] Setting up program. 0.075 * [progress]: [Phase 2 of 3] Improving. 0.076 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.076 * * [simplify]: Extracting # 0 : cost 0 0.076 * * [simplify]: Extracting # 1 : cost 0 0.076 * * [simplify]: Extracting # 2 : cost 0 0.076 * * [simplify]: Extracting # 3 : cost 0 0.076 * * [simplify]: Extracting # 4 : cost 0 0.076 * * [simplify]: Extracting # 5 : cost 0 0.076 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.078 * * [simplify]: Extracting # 0 : cost 0 0.078 * * [simplify]: Extracting # 1 : cost 0 0.078 * * [simplify]: Extracting # 2 : cost 0 0.078 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.081 * * [simplify]: Extracting # 0 : cost 0 0.081 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.084 * * [simplify]: Extracting # 0 : cost 0 0.084 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.084 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.085 * * [progress]: iteration 1 / 4 0.085 * * * [progress]: picking best candidate 0.090 * * * * [pick]: Picked # 0.090 * * * [progress]: localizing error 0.132 * * * [progress]: generating rewritten candidates 0.133 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.159 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.170 * * * [progress]: generating series expansions 0.170 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.171 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.171 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.171 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.171 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.171 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [taylor]: Taking taylor expansion of 1.0 in N 0.171 * [backup-simplify]: Simplify 1.0 into 1.0 0.172 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.172 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.172 * [taylor]: Taking taylor expansion of (log N) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (log 1) into 0 0.173 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.173 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.173 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of 1.0 in N 0.173 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.174 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.174 * [taylor]: Taking taylor expansion of (log N) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (log 1) into 0 0.175 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.175 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.175 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.176 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.177 * [backup-simplify]: Simplify (+ 1 0) into 1 0.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.183 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.184 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.184 * [backup-simplify]: Simplify 1.0 into 1.0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.199 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.204 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.208 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.209 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.209 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.209 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.209 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.209 * [taylor]: Taking taylor expansion of N in N 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [taylor]: Taking taylor expansion of 1.0 in N 0.209 * [backup-simplify]: Simplify 1.0 into 1.0 0.210 * [backup-simplify]: Simplify (+ 1 0) into 1 0.210 * [backup-simplify]: Simplify (log 1) into 0 0.210 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.210 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.210 * [taylor]: Taking taylor expansion of N in N 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.211 * [backup-simplify]: Simplify (log 1) into 0 0.211 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.211 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.211 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.211 * [taylor]: Taking taylor expansion of N in N 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [taylor]: Taking taylor expansion of 1.0 in N 0.212 * [backup-simplify]: Simplify 1.0 into 1.0 0.212 * [backup-simplify]: Simplify (+ 1 0) into 1 0.213 * [backup-simplify]: Simplify (log 1) into 0 0.213 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.213 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [backup-simplify]: Simplify (log 1) into 0 0.214 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.215 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.215 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.215 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.226 * [backup-simplify]: Simplify 1.0 into 1.0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.248 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.275 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.276 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.276 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.276 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.276 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.276 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.276 * [taylor]: Taking taylor expansion of 1.0 in N 0.276 * [backup-simplify]: Simplify 1.0 into 1.0 0.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.276 * [taylor]: Taking taylor expansion of N in N 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [backup-simplify]: Simplify (- 1) into -1 0.277 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.278 * [backup-simplify]: Simplify (log -1) into (log -1) 0.278 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.278 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.278 * [taylor]: Taking taylor expansion of -1 in N 0.278 * [backup-simplify]: Simplify -1 into -1 0.278 * [taylor]: Taking taylor expansion of N in N 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ -1 1) into -1 0.278 * [backup-simplify]: Simplify (log -1) into (log -1) 0.278 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.278 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.278 * [taylor]: Taking taylor expansion of 1.0 in N 0.278 * [backup-simplify]: Simplify 1.0 into 1.0 0.278 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.278 * [taylor]: Taking taylor expansion of N in N 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [backup-simplify]: Simplify (- 1) into -1 0.279 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.279 * [backup-simplify]: Simplify (log -1) into (log -1) 0.279 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.279 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.279 * [taylor]: Taking taylor expansion of -1 in N 0.279 * [backup-simplify]: Simplify -1 into -1 0.279 * [taylor]: Taking taylor expansion of N in N 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ -1 1) into -1 0.280 * [backup-simplify]: Simplify (log -1) into (log -1) 0.281 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.281 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.281 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.282 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.289 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.306 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [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 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.321 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.322 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.323 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.323 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.323 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.323 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.323 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.323 * [taylor]: Taking taylor expansion of N in N 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of 1.0 in N 0.323 * [backup-simplify]: Simplify 1.0 into 1.0 0.323 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.323 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.323 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.323 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.323 * [taylor]: Taking taylor expansion of N in N 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of 1.0 in N 0.323 * [backup-simplify]: Simplify 1.0 into 1.0 0.324 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.324 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.324 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.324 * [backup-simplify]: Simplify (+ 1 0) into 1 0.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.328 * [backup-simplify]: Simplify 1.0 into 1.0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.334 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.335 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.335 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.335 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.335 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.335 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.335 * [taylor]: Taking taylor expansion of N in N 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [taylor]: Taking taylor expansion of 1.0 in N 0.336 * [backup-simplify]: Simplify 1.0 into 1.0 0.336 * [backup-simplify]: Simplify (+ 1 0) into 1 0.336 * [backup-simplify]: Simplify (log 1) into 0 0.336 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.336 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.336 * [taylor]: Taking taylor expansion of N in N 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [taylor]: Taking taylor expansion of 1.0 in N 0.337 * [backup-simplify]: Simplify 1.0 into 1.0 0.337 * [backup-simplify]: Simplify (+ 1 0) into 1 0.337 * [backup-simplify]: Simplify (log 1) into 0 0.337 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.337 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.342 * [backup-simplify]: Simplify 1.0 into 1.0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.351 * [backup-simplify]: Simplify -0.5 into -0.5 0.351 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.352 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.352 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.352 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.352 * [taylor]: Taking taylor expansion of 1.0 in N 0.352 * [backup-simplify]: Simplify 1.0 into 1.0 0.352 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.352 * [taylor]: Taking taylor expansion of N in N 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [backup-simplify]: Simplify (- 1) into -1 0.353 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.354 * [backup-simplify]: Simplify (log -1) into (log -1) 0.354 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.354 * [taylor]: Taking taylor expansion of 1.0 in N 0.354 * [backup-simplify]: Simplify 1.0 into 1.0 0.354 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.354 * [taylor]: Taking taylor expansion of N in N 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify (- 1) into -1 0.355 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.355 * [backup-simplify]: Simplify (log -1) into (log -1) 0.356 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.357 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.365 * [backup-simplify]: Simplify -1.0 into -1.0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.382 * [backup-simplify]: Simplify -0.5 into -0.5 0.383 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.383 * * * [progress]: simplifying candidates 0.385 * [simplify]: Simplifying: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.387 * * [simplify]: Extracting # 0 : cost 0 0.387 * * [simplify]: Extracting # 1 : cost 0 0.387 * * [simplify]: Extracting # 2 : cost 0 0.387 * * [simplify]: Extracting # 3 : cost 0 0.387 * * [simplify]: Extracting # 4 : cost 0 0.388 * * [simplify]: Extracting # 5 : cost 0 0.388 * * [simplify]: Extracting # 6 : cost 0 0.388 * * [simplify]: Extracting # 7 : cost 0 0.388 * * [simplify]: iteration 0 : 101 enodes (cost 510 ) 0.416 * * [simplify]: Extracting # 0 : cost 0 0.417 * * [simplify]: Extracting # 1 : cost 0 0.417 * * [simplify]: Extracting # 2 : cost 0 0.417 * * [simplify]: Extracting # 3 : cost 0 0.418 * * [simplify]: Extracting # 4 : cost 0 0.418 * * [simplify]: iteration 1 : 213 enodes (cost 488 ) 0.539 * * [simplify]: Extracting # 0 : cost 0 0.540 * * [simplify]: Extracting # 1 : cost 0 0.542 * * [simplify]: Extracting # 2 : cost 0 0.543 * * [simplify]: Extracting # 3 : cost 0 0.544 * * [simplify]: Extracting # 4 : cost 0 0.545 * * [simplify]: iteration 2 : 644 enodes (cost 445 ) 1.062 * * [simplify]: Extracting # 0 : cost 0 1.065 * * [simplify]: Extracting # 1 : cost 0 1.068 * * [simplify]: Extracting # 2 : cost 0 1.071 * * [simplify]: Extracting # 3 : cost 0 1.075 * * [simplify]: Extracting # 4 : cost 0 1.078 * * [simplify]: iteration 3 : 2755 enodes (cost 443 ) 1.970 * * [simplify]: Extracting # 0 : cost 0 1.984 * * [simplify]: Extracting # 1 : cost 0 2.002 * * [simplify]: Extracting # 2 : cost 0 2.012 * * [simplify]: Extracting # 3 : cost 0 2.021 * * [simplify]: Extracting # 4 : cost 0 2.032 * * [simplify]: iteration done: 5001 enodes (cost 438 ) 2.032 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (log N) (log N))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log N) (log (+ N 1.0))) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (+ (* N 1.0) (* -1/2 (/ (pow N 2) (pow 1.0 2)))) (log 1.0)) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) 2.033 * * * [progress]: adding candidates to table 2.249 * * [progress]: iteration 2 / 4 2.249 * * * [progress]: picking best candidate 2.258 * * * * [pick]: Picked # 2.258 * * * [progress]: localizing error 2.265 * * * [progress]: generating rewritten candidates 2.266 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.272 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.296 * * * [progress]: generating series expansions 2.296 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.296 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 2.296 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.296 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.296 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.296 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.296 * [taylor]: Taking taylor expansion of N in N 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [taylor]: Taking taylor expansion of 1.0 in N 2.296 * [backup-simplify]: Simplify 1.0 into 1.0 2.296 * [taylor]: Taking taylor expansion of N in N 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.297 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.297 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.297 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.297 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.297 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.297 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 1.0 in N 2.297 * [backup-simplify]: Simplify 1.0 into 1.0 2.297 * [taylor]: Taking taylor expansion of N in N 2.297 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 1 into 1 2.298 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.298 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.298 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.299 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.299 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.300 * [backup-simplify]: Simplify (+ 1 0) into 1 2.300 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.303 * [backup-simplify]: Simplify 1.0 into 1.0 2.304 * [backup-simplify]: Simplify (+ 0 0) into 0 2.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.311 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.312 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.313 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 2.313 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 2.313 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.313 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.313 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.313 * [taylor]: Taking taylor expansion of N in N 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify 1 into 1 2.313 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.313 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.313 * [taylor]: Taking taylor expansion of N in N 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify 1 into 1 2.314 * [backup-simplify]: Simplify (/ 1 1) into 1 2.314 * [taylor]: Taking taylor expansion of 1.0 in N 2.314 * [backup-simplify]: Simplify 1.0 into 1.0 2.314 * [backup-simplify]: Simplify (+ 1 0) into 1 2.314 * [backup-simplify]: Simplify (* 0 1) into 0 2.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.315 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.315 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.316 * [backup-simplify]: Simplify (log 1) into 0 2.316 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.316 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.316 * [taylor]: Taking taylor expansion of N in N 2.316 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify 1 into 1 2.316 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.316 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.316 * [taylor]: Taking taylor expansion of N in N 2.316 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (/ 1 1) into 1 2.316 * [taylor]: Taking taylor expansion of 1.0 in N 2.316 * [backup-simplify]: Simplify 1.0 into 1.0 2.317 * [backup-simplify]: Simplify (+ 1 0) into 1 2.317 * [backup-simplify]: Simplify (* 0 1) into 0 2.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.318 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.318 * [backup-simplify]: Simplify (log 1) into 0 2.318 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.319 * [backup-simplify]: Simplify (+ 0 0) into 0 2.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.324 * [backup-simplify]: Simplify 1.0 into 1.0 2.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.325 * [backup-simplify]: Simplify (+ 0 0) into 0 2.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.332 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.332 * [backup-simplify]: Simplify -0.5 into -0.5 2.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.333 * [backup-simplify]: Simplify (+ 0 0) into 0 2.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.344 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 2.344 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.344 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.344 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 2.344 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.344 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.344 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.344 * [taylor]: Taking taylor expansion of -1 in N 2.344 * [backup-simplify]: Simplify -1 into -1 2.344 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.345 * [taylor]: Taking taylor expansion of N in N 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify 1 into 1 2.345 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.345 * [taylor]: Taking taylor expansion of 1.0 in N 2.345 * [backup-simplify]: Simplify 1.0 into 1.0 2.345 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.345 * [taylor]: Taking taylor expansion of N in N 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify 1 into 1 2.345 * [backup-simplify]: Simplify (/ 1 1) into 1 2.345 * [backup-simplify]: Simplify (- 1) into -1 2.345 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.346 * [backup-simplify]: Simplify (* 0 -1) into 0 2.346 * [backup-simplify]: Simplify (* -1 0) into 0 2.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.347 * [backup-simplify]: Simplify (- 0) into 0 2.348 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.349 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.349 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.350 * [backup-simplify]: Simplify (log 1) into 0 2.350 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.350 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.350 * [taylor]: Taking taylor expansion of -1 in N 2.350 * [backup-simplify]: Simplify -1 into -1 2.350 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.350 * [taylor]: Taking taylor expansion of N in N 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify 1 into 1 2.350 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.350 * [taylor]: Taking taylor expansion of 1.0 in N 2.350 * [backup-simplify]: Simplify 1.0 into 1.0 2.350 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.350 * [taylor]: Taking taylor expansion of N in N 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify 1 into 1 2.350 * [backup-simplify]: Simplify (/ 1 1) into 1 2.351 * [backup-simplify]: Simplify (- 1) into -1 2.351 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.351 * [backup-simplify]: Simplify (* 0 -1) into 0 2.352 * [backup-simplify]: Simplify (* -1 0) into 0 2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (- 0) into 0 2.353 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.354 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.355 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.355 * [backup-simplify]: Simplify (log 1) into 0 2.355 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify (- 0) into 0 2.357 * [backup-simplify]: Simplify (+ 0 0) into 0 2.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.362 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.370 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.370 * [backup-simplify]: Simplify -1.0 into -1.0 2.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.372 * [backup-simplify]: Simplify (- 0) into 0 2.372 * [backup-simplify]: Simplify (+ 0 0) into 0 2.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.375 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.398 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.399 * [backup-simplify]: Simplify -0.5 into -0.5 2.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.400 * [backup-simplify]: Simplify (- 0) into 0 2.400 * [backup-simplify]: Simplify (+ 0 0) into 0 2.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.403 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.423 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 2.423 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.424 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.424 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.424 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 2.424 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.424 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.424 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.424 * [taylor]: Taking taylor expansion of N in N 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 1 into 1 2.424 * [taylor]: Taking taylor expansion of 1.0 in N 2.424 * [backup-simplify]: Simplify 1.0 into 1.0 2.424 * [taylor]: Taking taylor expansion of N in N 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.425 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.425 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.425 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.425 * [taylor]: Taking taylor expansion of N in N 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 1 into 1 2.425 * [taylor]: Taking taylor expansion of 1.0 in N 2.425 * [backup-simplify]: Simplify 1.0 into 1.0 2.425 * [taylor]: Taking taylor expansion of N in N 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 1 into 1 2.426 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.426 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.426 * [backup-simplify]: Simplify 1.0 into 1.0 2.427 * [backup-simplify]: Simplify (+ 1 0) into 1 2.428 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.428 * [backup-simplify]: Simplify 1 into 1 2.428 * [backup-simplify]: Simplify (+ 0 0) into 0 2.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.429 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify (+ 0 0) into 0 2.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify (+ 0 0) into 0 2.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify (+ 0 0) into 0 2.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.434 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify (+ 0 0) into 0 2.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify (+ 0 0) into 0 2.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.437 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 2.438 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 2.438 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.438 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.438 * [taylor]: Taking taylor expansion of N in N 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.438 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.438 * [taylor]: Taking taylor expansion of N in N 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.439 * [backup-simplify]: Simplify (/ 1 1) into 1 2.439 * [taylor]: Taking taylor expansion of 1.0 in N 2.439 * [backup-simplify]: Simplify 1.0 into 1.0 2.439 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.439 * [taylor]: Taking taylor expansion of N in N 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.439 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.439 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.439 * [taylor]: Taking taylor expansion of N in N 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.439 * [backup-simplify]: Simplify (/ 1 1) into 1 2.439 * [taylor]: Taking taylor expansion of 1.0 in N 2.439 * [backup-simplify]: Simplify 1.0 into 1.0 2.440 * [backup-simplify]: Simplify (+ 1 0) into 1 2.440 * [backup-simplify]: Simplify (* 0 1) into 0 2.440 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.442 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.442 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.443 * [backup-simplify]: Simplify 1 into 1 2.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.444 * [backup-simplify]: Simplify (+ 0 0) into 0 2.447 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.447 * [backup-simplify]: Simplify 1.0 into 1.0 2.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.448 * [backup-simplify]: Simplify (+ 0 0) into 0 2.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.450 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.451 * [backup-simplify]: Simplify (+ 0 0) into 0 2.453 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.453 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.454 * [backup-simplify]: Simplify (+ 0 0) into 0 2.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.456 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.457 * [backup-simplify]: Simplify (+ 0 0) into 0 2.460 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.460 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.461 * [backup-simplify]: Simplify (+ 0 0) into 0 2.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.463 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.468 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.468 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.468 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.468 * [taylor]: Taking taylor expansion of -1 in N 2.468 * [backup-simplify]: Simplify -1 into -1 2.468 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.468 * [taylor]: Taking taylor expansion of N in N 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 1 into 1 2.468 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.468 * [taylor]: Taking taylor expansion of 1.0 in N 2.468 * [backup-simplify]: Simplify 1.0 into 1.0 2.468 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.468 * [taylor]: Taking taylor expansion of N in N 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 1 into 1 2.468 * [backup-simplify]: Simplify (/ 1 1) into 1 2.469 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.469 * [taylor]: Taking taylor expansion of -1 in N 2.469 * [backup-simplify]: Simplify -1 into -1 2.469 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.469 * [taylor]: Taking taylor expansion of N in N 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.469 * [taylor]: Taking taylor expansion of 1.0 in N 2.469 * [backup-simplify]: Simplify 1.0 into 1.0 2.469 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.469 * [taylor]: Taking taylor expansion of N in N 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [backup-simplify]: Simplify (/ 1 1) into 1 2.470 * [backup-simplify]: Simplify (- 1) into -1 2.470 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.471 * [backup-simplify]: Simplify (* 0 -1) into 0 2.471 * [backup-simplify]: Simplify (* -1 0) into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.472 * [backup-simplify]: Simplify (- 0) into 0 2.473 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.474 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.474 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.474 * [backup-simplify]: Simplify 1 into 1 2.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.476 * [backup-simplify]: Simplify (- 0) into 0 2.477 * [backup-simplify]: Simplify (+ 0 0) into 0 2.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.483 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.483 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.484 * [backup-simplify]: Simplify (- 0) into 0 2.485 * [backup-simplify]: Simplify (+ 0 0) into 0 2.486 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.487 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.487 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.489 * [backup-simplify]: Simplify (- 0) into 0 2.489 * [backup-simplify]: Simplify (+ 0 0) into 0 2.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.493 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.494 * [backup-simplify]: Simplify (- 0) into 0 2.495 * [backup-simplify]: Simplify (+ 0 0) into 0 2.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.499 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.499 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.501 * [backup-simplify]: Simplify (- 0) into 0 2.501 * [backup-simplify]: Simplify (+ 0 0) into 0 2.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.505 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.507 * [backup-simplify]: Simplify (- 0) into 0 2.507 * [backup-simplify]: Simplify (+ 0 0) into 0 2.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.512 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.512 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.513 * [backup-simplify]: Simplify (- 0) into 0 2.514 * [backup-simplify]: Simplify (+ 0 0) into 0 2.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.518 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.518 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.519 * * * [progress]: simplifying candidates 2.521 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 2.523 * * [simplify]: Extracting # 0 : cost 0 2.523 * * [simplify]: Extracting # 1 : cost 0 2.524 * * [simplify]: Extracting # 2 : cost 0 2.524 * * [simplify]: Extracting # 3 : cost 0 2.524 * * [simplify]: Extracting # 4 : cost 0 2.524 * * [simplify]: Extracting # 5 : cost 0 2.525 * * [simplify]: Extracting # 6 : cost 0 2.525 * * [simplify]: Extracting # 7 : cost 0 2.525 * * [simplify]: Extracting # 8 : cost 0 2.525 * * [simplify]: Extracting # 9 : cost 0 2.526 * * [simplify]: Extracting # 10 : cost 0 2.526 * * [simplify]: iteration 0 : 108 enodes (cost 723 ) 2.564 * * [simplify]: Extracting # 0 : cost 0 2.564 * * [simplify]: Extracting # 1 : cost 0 2.564 * * [simplify]: Extracting # 2 : cost 0 2.565 * * [simplify]: Extracting # 3 : cost 0 2.565 * * [simplify]: iteration 1 : 243 enodes (cost 690 ) 2.700 * * [simplify]: Extracting # 0 : cost 0 2.702 * * [simplify]: Extracting # 1 : cost 0 2.704 * * [simplify]: Extracting # 2 : cost 0 2.707 * * [simplify]: Extracting # 3 : cost 0 2.709 * * [simplify]: iteration 2 : 1010 enodes (cost 637 ) 3.140 * * [simplify]: Extracting # 0 : cost 0 3.151 * * [simplify]: Extracting # 1 : cost 0 3.165 * * [simplify]: Extracting # 2 : cost 0 3.174 * * [simplify]: Extracting # 3 : cost 0 3.183 * * [simplify]: Extracting # 4 : cost 0 3.198 * * [simplify]: iteration done: 5000 enodes (cost 624 ) 3.198 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (+ (pow N 3) (* N (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 3.199 * * * [progress]: adding candidates to table 3.408 * * [progress]: iteration 3 / 4 3.408 * * * [progress]: picking best candidate 3.419 * * * * [pick]: Picked # 3.419 * * * [progress]: localizing error 3.438 * * * [progress]: generating rewritten candidates 3.438 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 3.463 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 3.483 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 3.606 * * * [progress]: generating series expansions 3.606 * * * * [progress]: [ 1 / 3 ] generating series at (2) 3.607 * [backup-simplify]: Simplify (log (/ (/ (+ N 1.0) (sqrt N)) (sqrt N))) into (log (/ (+ N 1.0) N)) 3.607 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 3.607 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.607 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.607 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.607 * [taylor]: Taking taylor expansion of N in N 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 1 into 1 3.607 * [taylor]: Taking taylor expansion of 1.0 in N 3.607 * [backup-simplify]: Simplify 1.0 into 1.0 3.607 * [taylor]: Taking taylor expansion of N in N 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 1 into 1 3.608 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.609 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.609 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.609 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.609 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.609 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.609 * [taylor]: Taking taylor expansion of N in N 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 1 into 1 3.609 * [taylor]: Taking taylor expansion of 1.0 in N 3.609 * [backup-simplify]: Simplify 1.0 into 1.0 3.610 * [taylor]: Taking taylor expansion of N in N 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.611 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.611 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.612 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.613 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 3.613 * [backup-simplify]: Simplify (+ 1 0) into 1 3.614 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.620 * [backup-simplify]: Simplify 1.0 into 1.0 3.621 * [backup-simplify]: Simplify (+ 0 0) into 0 3.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.633 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.634 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.635 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 3.635 * [backup-simplify]: Simplify (log (/ (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N))) (sqrt (/ 1 N)))) into (log (* N (+ (/ 1 N) 1.0))) 3.635 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.635 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.635 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.635 * [taylor]: Taking taylor expansion of N in N 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.635 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.635 * [taylor]: Taking taylor expansion of N in N 3.635 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 1 into 1 3.636 * [backup-simplify]: Simplify (/ 1 1) into 1 3.636 * [taylor]: Taking taylor expansion of 1.0 in N 3.636 * [backup-simplify]: Simplify 1.0 into 1.0 3.636 * [backup-simplify]: Simplify (+ 1 0) into 1 3.636 * [backup-simplify]: Simplify (* 0 1) into 0 3.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.637 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.637 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.638 * [backup-simplify]: Simplify (log 1) into 0 3.638 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.638 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.638 * [taylor]: Taking taylor expansion of N in N 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 1 into 1 3.638 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.638 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.638 * [taylor]: Taking taylor expansion of N in N 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 1 into 1 3.638 * [backup-simplify]: Simplify (/ 1 1) into 1 3.638 * [taylor]: Taking taylor expansion of 1.0 in N 3.638 * [backup-simplify]: Simplify 1.0 into 1.0 3.638 * [backup-simplify]: Simplify (+ 1 0) into 1 3.639 * [backup-simplify]: Simplify (* 0 1) into 0 3.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.639 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.640 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.640 * [backup-simplify]: Simplify (log 1) into 0 3.640 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.641 * [backup-simplify]: Simplify (+ 0 0) into 0 3.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.646 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.646 * [backup-simplify]: Simplify 1.0 into 1.0 3.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (+ 0 0) into 0 3.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.660 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.661 * [backup-simplify]: Simplify -0.5 into -0.5 3.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (+ 0 0) into 0 3.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.672 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 3.672 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.672 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.673 * [backup-simplify]: Simplify (log (/ (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N)))) (sqrt (/ 1 (- N))))) into (log (/ (- 1.0 (/ 1 N)) (pow (sqrt (/ -1 N)) 2))) 3.673 * [approximate]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (pow (sqrt (/ -1 N)) 2))) in (N) around 0 3.673 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (pow (sqrt (/ -1 N)) 2))) in N 3.673 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (pow (sqrt (/ -1 N)) 2)) in N 3.673 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.673 * [taylor]: Taking taylor expansion of 1.0 in N 3.673 * [backup-simplify]: Simplify 1.0 into 1.0 3.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.673 * [taylor]: Taking taylor expansion of N in N 3.673 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify 1 into 1 3.673 * [backup-simplify]: Simplify (/ 1 1) into 1 3.673 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N 3.673 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 3.673 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.673 * [taylor]: Taking taylor expansion of -1 in N 3.673 * [backup-simplify]: Simplify -1 into -1 3.673 * [taylor]: Taking taylor expansion of N in N 3.673 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify 1 into 1 3.674 * [backup-simplify]: Simplify (/ -1 1) into -1 3.674 * [backup-simplify]: Simplify (sqrt 0) into 0 3.675 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.675 * [backup-simplify]: Simplify (- 1) into -1 3.676 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.676 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 3.676 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 3.676 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.676 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (pow (sqrt (/ -1 N)) 2))) in N 3.676 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (pow (sqrt (/ -1 N)) 2)) in N 3.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.676 * [taylor]: Taking taylor expansion of 1.0 in N 3.676 * [backup-simplify]: Simplify 1.0 into 1.0 3.676 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.676 * [taylor]: Taking taylor expansion of N in N 3.676 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify 1 into 1 3.677 * [backup-simplify]: Simplify (/ 1 1) into 1 3.677 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N 3.677 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 3.677 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.677 * [taylor]: Taking taylor expansion of -1 in N 3.677 * [backup-simplify]: Simplify -1 into -1 3.677 * [taylor]: Taking taylor expansion of N in N 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify 1 into 1 3.677 * [backup-simplify]: Simplify (/ -1 1) into -1 3.677 * [backup-simplify]: Simplify (sqrt 0) into 0 3.678 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.678 * [backup-simplify]: Simplify (- 1) into -1 3.679 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.679 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 3.679 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 3.679 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 3.680 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 3.680 * [backup-simplify]: Simplify (- (log +nan.0) (log N)) into (- (log +nan.0) (log N)) 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.681 * [backup-simplify]: Simplify (- 0) into 0 3.681 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.685 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 3.687 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 3.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 3.692 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.693 * [backup-simplify]: Simplify (- 0) into 0 3.694 * [backup-simplify]: Simplify (+ 0 0) into 0 3.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.700 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 3.705 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 3.716 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 3.716 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.717 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (- (log +nan.0) (log (/ 1 (- N)))))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (log (/ -1 N)) (* +nan.0 (/ 1 (pow N 2)))))) 3.717 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 3.717 * [backup-simplify]: Simplify (/ (+ N 1.0) (sqrt N)) into (* (sqrt (/ 1 N)) (+ N 1.0)) 3.717 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in (N) around 0 3.717 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 3.717 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 3.717 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.717 * [taylor]: Taking taylor expansion of N in N 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 1 into 1 3.717 * [backup-simplify]: Simplify (/ 1 1) into 1 3.717 * [backup-simplify]: Simplify (sqrt 0) into 0 3.718 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.718 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.718 * [taylor]: Taking taylor expansion of N in N 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify 1 into 1 3.718 * [taylor]: Taking taylor expansion of 1.0 in N 3.718 * [backup-simplify]: Simplify 1.0 into 1.0 3.718 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 3.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 3.718 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.718 * [taylor]: Taking taylor expansion of N in N 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify 1 into 1 3.719 * [backup-simplify]: Simplify (/ 1 1) into 1 3.719 * [backup-simplify]: Simplify (sqrt 0) into 0 3.720 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.720 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.720 * [taylor]: Taking taylor expansion of N in N 3.720 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify 1 into 1 3.720 * [taylor]: Taking taylor expansion of 1.0 in N 3.720 * [backup-simplify]: Simplify 1.0 into 1.0 3.720 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.720 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.720 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify (+ 1 0) into 1 3.722 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 3.722 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.722 * [backup-simplify]: Simplify (+ 0 0) into 0 3.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.724 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 3.727 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.728 * [backup-simplify]: Simplify (+ 0 0) into 0 3.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 3.733 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.734 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 3.735 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N))) into (* (sqrt N) (+ (/ 1 N) 1.0)) 3.735 * [approximate]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in (N) around 0 3.735 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 3.735 * [taylor]: Taking taylor expansion of (sqrt N) in N 3.735 * [taylor]: Taking taylor expansion of N in N 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [backup-simplify]: Simplify (sqrt 0) into 0 3.736 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.736 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.736 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.736 * [taylor]: Taking taylor expansion of N in N 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 1 into 1 3.736 * [backup-simplify]: Simplify (/ 1 1) into 1 3.736 * [taylor]: Taking taylor expansion of 1.0 in N 3.736 * [backup-simplify]: Simplify 1.0 into 1.0 3.736 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 3.736 * [taylor]: Taking taylor expansion of (sqrt N) in N 3.736 * [taylor]: Taking taylor expansion of N in N 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 1 into 1 3.737 * [backup-simplify]: Simplify (sqrt 0) into 0 3.737 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.737 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.737 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.737 * [taylor]: Taking taylor expansion of N in N 3.738 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify 1 into 1 3.738 * [backup-simplify]: Simplify (/ 1 1) into 1 3.738 * [taylor]: Taking taylor expansion of 1.0 in N 3.738 * [backup-simplify]: Simplify 1.0 into 1.0 3.738 * [backup-simplify]: Simplify (+ 1 0) into 1 3.738 * [backup-simplify]: Simplify (* 0 1) into 0 3.738 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.739 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.740 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 3.740 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.741 * [backup-simplify]: Simplify (+ 0 0) into 0 3.743 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 3.745 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (+ 0 0) into 0 3.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 3.755 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.756 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) 3.757 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N)))) into (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 3.757 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in (N) around 0 3.757 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 3.757 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.757 * [taylor]: Taking taylor expansion of 1.0 in N 3.757 * [backup-simplify]: Simplify 1.0 into 1.0 3.757 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.757 * [taylor]: Taking taylor expansion of N in N 3.757 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify 1 into 1 3.757 * [backup-simplify]: Simplify (/ 1 1) into 1 3.757 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 3.757 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.757 * [taylor]: Taking taylor expansion of -1 in N 3.757 * [backup-simplify]: Simplify -1 into -1 3.757 * [taylor]: Taking taylor expansion of N in N 3.757 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify 1 into 1 3.757 * [backup-simplify]: Simplify (/ -1 1) into -1 3.758 * [backup-simplify]: Simplify (sqrt 0) into 0 3.758 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.759 * [backup-simplify]: Simplify (- 1) into -1 3.759 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.759 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 3.759 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 3.759 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.759 * [taylor]: Taking taylor expansion of 1.0 in N 3.759 * [backup-simplify]: Simplify 1.0 into 1.0 3.759 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.759 * [taylor]: Taking taylor expansion of N in N 3.759 * [backup-simplify]: Simplify 0 into 0 3.759 * [backup-simplify]: Simplify 1 into 1 3.760 * [backup-simplify]: Simplify (/ 1 1) into 1 3.760 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 3.760 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.760 * [taylor]: Taking taylor expansion of -1 in N 3.760 * [backup-simplify]: Simplify -1 into -1 3.760 * [taylor]: Taking taylor expansion of N in N 3.760 * [backup-simplify]: Simplify 0 into 0 3.760 * [backup-simplify]: Simplify 1 into 1 3.760 * [backup-simplify]: Simplify (/ -1 1) into -1 3.760 * [backup-simplify]: Simplify (sqrt 0) into 0 3.761 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.762 * [backup-simplify]: Simplify (- 1) into -1 3.762 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.762 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 3.762 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.763 * [backup-simplify]: Simplify (- 0) into 0 3.763 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.766 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.768 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 3.768 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.769 * [backup-simplify]: Simplify (- 0) into 0 3.769 * [backup-simplify]: Simplify (+ 0 0) into 0 3.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.774 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.778 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 3.779 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.779 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- N))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) 3.779 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 3.779 * [backup-simplify]: Simplify (/ (/ (+ N 1.0) (sqrt N)) (sqrt N)) into (/ (+ N 1.0) N) 3.779 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 3.780 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.780 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.780 * [taylor]: Taking taylor expansion of N in N 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 1 into 1 3.780 * [taylor]: Taking taylor expansion of 1.0 in N 3.780 * [backup-simplify]: Simplify 1.0 into 1.0 3.780 * [taylor]: Taking taylor expansion of N in N 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 1 into 1 3.780 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.780 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.780 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.780 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.780 * [taylor]: Taking taylor expansion of N in N 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 1 into 1 3.780 * [taylor]: Taking taylor expansion of 1.0 in N 3.780 * [backup-simplify]: Simplify 1.0 into 1.0 3.780 * [taylor]: Taking taylor expansion of N in N 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 1 into 1 3.781 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.781 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.781 * [backup-simplify]: Simplify 1.0 into 1.0 3.781 * [backup-simplify]: Simplify (+ 1 0) into 1 3.782 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.782 * [backup-simplify]: Simplify 1 into 1 3.782 * [backup-simplify]: Simplify (+ 0 0) into 0 3.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify (+ 0 0) into 0 3.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify (+ 0 0) into 0 3.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify (+ 0 0) into 0 3.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.786 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify (+ 0 0) into 0 3.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.787 * [backup-simplify]: Simplify 0 into 0 3.787 * [backup-simplify]: Simplify (+ 0 0) into 0 3.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.788 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 3.788 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N))) (sqrt (/ 1 N))) into (* N (+ (/ 1 N) 1.0)) 3.788 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 3.788 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.788 * [taylor]: Taking taylor expansion of N in N 3.788 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify 1 into 1 3.788 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.788 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.788 * [taylor]: Taking taylor expansion of N in N 3.788 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify 1 into 1 3.789 * [backup-simplify]: Simplify (/ 1 1) into 1 3.789 * [taylor]: Taking taylor expansion of 1.0 in N 3.789 * [backup-simplify]: Simplify 1.0 into 1.0 3.789 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.789 * [taylor]: Taking taylor expansion of N in N 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.789 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.789 * [taylor]: Taking taylor expansion of N in N 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [backup-simplify]: Simplify (/ 1 1) into 1 3.789 * [taylor]: Taking taylor expansion of 1.0 in N 3.789 * [backup-simplify]: Simplify 1.0 into 1.0 3.789 * [backup-simplify]: Simplify (+ 1 0) into 1 3.790 * [backup-simplify]: Simplify (* 0 1) into 0 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.790 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.791 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.791 * [backup-simplify]: Simplify 1 into 1 3.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.792 * [backup-simplify]: Simplify (+ 0 0) into 0 3.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.793 * [backup-simplify]: Simplify 1.0 into 1.0 3.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.794 * [backup-simplify]: Simplify (+ 0 0) into 0 3.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.796 * [backup-simplify]: Simplify (+ 0 0) into 0 3.796 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.796 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.797 * [backup-simplify]: Simplify (+ 0 0) into 0 3.798 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 3.798 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.799 * [backup-simplify]: Simplify (+ 0 0) into 0 3.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 3.800 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.801 * [backup-simplify]: Simplify (+ 0 0) into 0 3.802 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.803 * [backup-simplify]: Simplify (+ 0 0) into 0 3.804 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.804 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N)))) (sqrt (/ 1 (- N)))) into (/ (- 1.0 (/ 1 N)) (pow (sqrt (/ -1 N)) 2)) 3.804 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (pow (sqrt (/ -1 N)) 2)) in (N) around 0 3.804 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (pow (sqrt (/ -1 N)) 2)) in N 3.804 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.804 * [taylor]: Taking taylor expansion of 1.0 in N 3.804 * [backup-simplify]: Simplify 1.0 into 1.0 3.804 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.804 * [taylor]: Taking taylor expansion of N in N 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 1 into 1 3.805 * [backup-simplify]: Simplify (/ 1 1) into 1 3.805 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N 3.805 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 3.805 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.805 * [taylor]: Taking taylor expansion of -1 in N 3.805 * [backup-simplify]: Simplify -1 into -1 3.805 * [taylor]: Taking taylor expansion of N in N 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify 1 into 1 3.805 * [backup-simplify]: Simplify (/ -1 1) into -1 3.805 * [backup-simplify]: Simplify (sqrt 0) into 0 3.806 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.806 * [backup-simplify]: Simplify (- 1) into -1 3.807 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.807 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 3.807 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 3.807 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (pow (sqrt (/ -1 N)) 2)) in N 3.807 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.807 * [taylor]: Taking taylor expansion of 1.0 in N 3.807 * [backup-simplify]: Simplify 1.0 into 1.0 3.807 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.807 * [taylor]: Taking taylor expansion of N in N 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 1 into 1 3.808 * [backup-simplify]: Simplify (/ 1 1) into 1 3.808 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N 3.808 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 3.808 * [taylor]: Taking taylor expansion of (/ -1 N) in N 3.808 * [taylor]: Taking taylor expansion of -1 in N 3.808 * [backup-simplify]: Simplify -1 into -1 3.808 * [taylor]: Taking taylor expansion of N in N 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 1 into 1 3.808 * [backup-simplify]: Simplify (/ -1 1) into -1 3.808 * [backup-simplify]: Simplify (sqrt 0) into 0 3.809 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.809 * [backup-simplify]: Simplify (- 1) into -1 3.810 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.810 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 3.810 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 3.810 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.811 * [backup-simplify]: Simplify (- 0) into 0 3.811 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.814 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.814 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 3.816 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 3.816 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.817 * [backup-simplify]: Simplify (- 0) into 0 3.817 * [backup-simplify]: Simplify (+ 0 0) into 0 3.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.825 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 3.831 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 3.831 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.832 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- N))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) 3.832 * * * [progress]: simplifying candidates 3.849 * [simplify]: Simplifying: (log (* (cbrt (/ (/ (+ N 1.0) (sqrt N)) (sqrt N))) (cbrt (/ (/ (+ N 1.0) 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(sqrt N))) (/ (sqrt N) (/ 1 (sqrt N))) (* (sqrt N) (sqrt N)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (log (/ -1 N)) (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) 3.879 * * [simplify]: Extracting # 0 : cost 0 3.880 * * [simplify]: Extracting # 1 : cost 0 3.881 * * [simplify]: Extracting # 2 : cost 0 3.881 * * [simplify]: Extracting # 3 : cost 0 3.882 * * [simplify]: Extracting # 4 : cost 0 3.883 * * [simplify]: Extracting # 5 : cost 0 3.884 * * [simplify]: Extracting # 6 : cost 0 3.884 * * [simplify]: Extracting # 7 : cost 0 3.885 * * [simplify]: Extracting # 8 : cost 0 3.886 * * [simplify]: iteration 0 : 461 enodes (cost 9702 ) 4.029 * * [simplify]: Extracting # 0 : cost 0 4.033 * * [simplify]: Extracting # 1 : cost 0 4.036 * * [simplify]: Extracting # 2 : cost 0 4.039 * * [simplify]: Extracting # 3 : cost 0 4.046 * * [simplify]: iteration 1 : 1070 enodes (cost 8458 ) 4.556 * * [simplify]: Extracting # 0 : cost 0 4.560 * * [simplify]: Extracting # 1 : cost 0 4.566 * * [simplify]: Extracting # 2 : cost 0 4.575 * * [simplify]: Extracting # 3 : cost 0 4.580 * * [simplify]: Extracting # 4 : cost 0 4.587 * * [simplify]: iteration 2 : 4183 enodes (cost 7957 ) 5.575 * * [simplify]: Extracting # 0 : cost 0 5.582 * * [simplify]: Extracting # 1 : cost 0 5.588 * * [simplify]: Extracting # 2 : cost 0 5.594 * * [simplify]: iteration done: 5000 enodes (cost 7957 ) 5.600 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (/ (+ 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(cbrt (+ N 1.0)) (cbrt (sqrt N)))) (/ (/ (cbrt (+ N 1.0)) (sqrt N)) (cbrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (fabs (cbrt N))) (/ (/ (cbrt (+ N 1.0)) (sqrt N)) (sqrt (cbrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (/ (cbrt (+ N 1.0)) (sqrt N)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (/ (cbrt (+ N 1.0)) (sqrt N)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (cbrt (sqrt N))) (/ (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (fabs (cbrt N))) (/ (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (cbrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt N)) (* (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (/ (/ (cbrt (+ N 1.0)) (sqrt N)) (cbrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (fabs (cbrt N))) (/ (/ (cbrt (+ N 1.0)) (sqrt N)) (sqrt (cbrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (/ (cbrt (+ N 1.0)) (sqrt N)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (/ (cbrt (+ N 1.0)) (sqrt N)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (/ (sqrt (+ N 1.0)) (fabs (cbrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt 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(sqrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (sqrt N))) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (cbrt (sqrt N))) (/ (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (fabs (cbrt N))) (/ (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt N)) (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (/ (sqrt (+ N 1.0)) (sqrt N)) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (fabs (cbrt N))) (/ (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (sqrt N))) (sqrt (+ N 1.0)) (/ (sqrt (+ N 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(sqrt N)) (cbrt (sqrt N)))) (/ (/ (+ N 1.0) (sqrt N)) (fabs (cbrt N))) (/ (/ (+ N 1.0) (sqrt N)) (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt N)) (/ (/ (+ N 1.0) (sqrt N)) (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt N)) (/ (sqrt N) (cbrt (/ (+ N 1.0) (sqrt N)))) (/ (sqrt N) (sqrt (/ (+ N 1.0) (sqrt N)))) (/ (sqrt N) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (/ (sqrt N) (/ (cbrt (+ N 1.0)) (sqrt (cbrt N)))) (/ (sqrt N) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N)))) (/ (sqrt N) (/ (cbrt (+ N 1.0)) (sqrt N))) (/ (sqrt N) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N)))) (/ (sqrt N) (/ (cbrt (+ N 1.0)) (sqrt N))) (/ (sqrt N) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N)))) (/ (sqrt N) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N)))) (/ (sqrt N) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (/ (sqrt N) (/ (sqrt (+ N 1.0)) (sqrt N))) (/ (sqrt N) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (/ (sqrt N) (/ (sqrt (+ N 1.0)) (sqrt N))) (/ (sqrt N) (/ (+ N 1.0) (cbrt (sqrt N)))) (/ (sqrt N) (/ (+ N 1.0) (sqrt (cbrt N)))) (/ (sqrt N) (/ (+ N 1.0) (sqrt (sqrt N)))) (/ (sqrt N) (/ (+ N 1.0) (sqrt N))) (/ (sqrt N) (/ (+ N 1.0) (sqrt (sqrt N)))) (/ (sqrt N) (/ (+ N 1.0) (sqrt N))) (/ (sqrt N) (/ (+ N 1.0) (cbrt (sqrt N)))) (/ (sqrt N) (/ (+ N 1.0) (sqrt (cbrt N)))) (/ (sqrt N) (/ (+ N 1.0) (sqrt (sqrt N)))) (/ (sqrt N) (/ (+ N 1.0) (sqrt N))) (/ (sqrt N) (/ (+ N 1.0) (sqrt (sqrt N)))) (/ (sqrt N) (/ (+ N 1.0) (sqrt N))) (/ (sqrt N) (/ (+ N 1.0) (sqrt N))) N N (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (log +nan.0) (+ (/ +nan.0 N) (- (log (/ -1 N)) (/ +nan.0 (* N N))))) (- (- (* +nan.0 (pow N 2)) (- (* +nan.0 N) +nan.0))) (+ (- (/ +nan.0 (* N N)) +nan.0) (- (/ +nan.0 N))) (- (- (/ +nan.0 N) (- (* +nan.0 N) +nan.0))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (- (- (/ +nan.0 N) (- (* +nan.0 N) +nan.0))) 5.607 * * * [progress]: adding candidates to table 6.676 * * [progress]: iteration 4 / 4 6.676 * * * [progress]: picking best candidate 6.679 * * * * [pick]: Picked # 6.679 * * * [progress]: localizing error 6.704 * * * [progress]: generating rewritten candidates 6.704 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 7.337 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 7.357 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 7.382 * * * [progress]: generating series expansions 7.382 * * * * [progress]: [ 1 / 3 ] generating series at (2) 7.383 * [backup-simplify]: Simplify (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 7.383 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 7.383 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 7.383 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 7.383 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.383 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.383 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.383 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.383 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.383 * [taylor]: Taking taylor expansion of N in N 7.383 * [backup-simplify]: Simplify 0 into 0 7.383 * [backup-simplify]: Simplify 1 into 1 7.383 * [backup-simplify]: Simplify (* 1 1) into 1 7.384 * [backup-simplify]: Simplify (* 1 1) into 1 7.384 * [backup-simplify]: Simplify (/ 1 1) into 1 7.384 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.384 * [taylor]: Taking taylor expansion of 1.0 in N 7.384 * [backup-simplify]: Simplify 1.0 into 1.0 7.384 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.384 * [taylor]: Taking taylor expansion of N in N 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify 1 into 1 7.384 * [backup-simplify]: Simplify (/ 1 1) into 1 7.384 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.384 * [taylor]: Taking taylor expansion of 0.5 in N 7.384 * [backup-simplify]: Simplify 0.5 into 0.5 7.384 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.384 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.384 * [taylor]: Taking taylor expansion of N in N 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify 1 into 1 7.385 * [backup-simplify]: Simplify (* 1 1) into 1 7.385 * [backup-simplify]: Simplify (/ 1 1) into 1 7.385 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 7.385 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 7.385 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 7.385 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.385 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.385 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 7.385 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.385 * [taylor]: Taking taylor expansion of N in N 7.385 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify 1 into 1 7.385 * [backup-simplify]: Simplify (* 1 1) into 1 7.386 * [backup-simplify]: Simplify (* 1 1) into 1 7.386 * [backup-simplify]: Simplify (/ 1 1) into 1 7.386 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 7.386 * [taylor]: Taking taylor expansion of 1.0 in N 7.386 * [backup-simplify]: Simplify 1.0 into 1.0 7.386 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.386 * [taylor]: Taking taylor expansion of N in N 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 1 into 1 7.386 * [backup-simplify]: Simplify (/ 1 1) into 1 7.386 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 7.386 * [taylor]: Taking taylor expansion of 0.5 in N 7.386 * [backup-simplify]: Simplify 0.5 into 0.5 7.386 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 7.386 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.386 * [taylor]: Taking taylor expansion of N in N 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 1 into 1 7.387 * [backup-simplify]: Simplify (* 1 1) into 1 7.387 * [backup-simplify]: Simplify (/ 1 1) into 1 7.387 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.387 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.388 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.388 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.389 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.390 * [backup-simplify]: Simplify (+ 0 0) into 0 7.390 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.390 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.391 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.391 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.393 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.393 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.394 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.395 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.395 * [backup-simplify]: Simplify (- 0) into 0 7.395 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.395 * [backup-simplify]: Simplify 1.0 into 1.0 7.396 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 7.396 * [backup-simplify]: Simplify (- (+ (/ 0.3333333333333333 (pow (/ 1 N) 3)) (/ 1.0 (/ 1 N))) (/ 0.5 (* (/ 1 N) (/ 1 N)))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 7.396 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 7.396 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 7.396 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.396 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.396 * [taylor]: Taking taylor expansion of 1.0 in N 7.396 * [backup-simplify]: Simplify 1.0 into 1.0 7.396 * [taylor]: Taking taylor expansion of N in N 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 1 into 1 7.396 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.396 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.397 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.397 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.397 * [taylor]: Taking taylor expansion of N in N 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify 1 into 1 7.397 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.397 * [taylor]: Taking taylor expansion of 0.5 in N 7.397 * [backup-simplify]: Simplify 0.5 into 0.5 7.397 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.397 * [taylor]: Taking taylor expansion of N in N 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify 1 into 1 7.397 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 7.397 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.397 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.397 * [taylor]: Taking taylor expansion of 1.0 in N 7.397 * [backup-simplify]: Simplify 1.0 into 1.0 7.397 * [taylor]: Taking taylor expansion of N in N 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify 1 into 1 7.397 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.397 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.397 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.397 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.397 * [taylor]: Taking taylor expansion of N in N 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify 1 into 1 7.397 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.397 * [taylor]: Taking taylor expansion of 0.5 in N 7.397 * [backup-simplify]: Simplify 0.5 into 0.5 7.397 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.397 * [taylor]: Taking taylor expansion of N in N 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify 1 into 1 7.397 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.398 * [backup-simplify]: Simplify (+ 0 0) into 0 7.398 * [backup-simplify]: Simplify (+ 0 0) into 0 7.398 * [backup-simplify]: Simplify 0 into 0 7.399 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.399 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.399 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.399 * [backup-simplify]: Simplify 1.0 into 1.0 7.400 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.400 * [backup-simplify]: Simplify (+ 0 0) into 0 7.400 * [backup-simplify]: Simplify (* 1 1) into 1 7.401 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.401 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.401 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.402 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.402 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.403 * [backup-simplify]: Simplify (* 1 1) into 1 7.403 * [backup-simplify]: Simplify (* 1 1) into 1 7.403 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.403 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.404 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.404 * [backup-simplify]: Simplify (- 0) into 0 7.405 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 7.405 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.406 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 7.406 * [backup-simplify]: Simplify (- (+ (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) (/ 1.0 (/ 1 (- N)))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 7.406 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 7.406 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 7.406 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 7.406 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.406 * [taylor]: Taking taylor expansion of 0.5 in N 7.406 * [backup-simplify]: Simplify 0.5 into 0.5 7.406 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.406 * [taylor]: Taking taylor expansion of N in N 7.406 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify 1 into 1 7.406 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.406 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.406 * [taylor]: Taking taylor expansion of 1.0 in N 7.406 * [backup-simplify]: Simplify 1.0 into 1.0 7.406 * [taylor]: Taking taylor expansion of N in N 7.406 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify 1 into 1 7.406 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.406 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.406 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.406 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.406 * [taylor]: Taking taylor expansion of N in N 7.406 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify 1 into 1 7.406 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 7.406 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 7.406 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.406 * [taylor]: Taking taylor expansion of 0.5 in N 7.406 * [backup-simplify]: Simplify 0.5 into 0.5 7.406 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.406 * [taylor]: Taking taylor expansion of N in N 7.406 * [backup-simplify]: Simplify 0 into 0 7.407 * [backup-simplify]: Simplify 1 into 1 7.407 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 7.407 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 7.407 * [taylor]: Taking taylor expansion of 1.0 in N 7.407 * [backup-simplify]: Simplify 1.0 into 1.0 7.407 * [taylor]: Taking taylor expansion of N in N 7.407 * [backup-simplify]: Simplify 0 into 0 7.407 * [backup-simplify]: Simplify 1 into 1 7.407 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.407 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.407 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.407 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.407 * [taylor]: Taking taylor expansion of N in N 7.407 * [backup-simplify]: Simplify 0 into 0 7.407 * [backup-simplify]: Simplify 1 into 1 7.407 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.407 * [backup-simplify]: Simplify (+ 0 0) into 0 7.408 * [backup-simplify]: Simplify (+ 0 0) into 0 7.408 * [backup-simplify]: Simplify (- 0) into 0 7.408 * [backup-simplify]: Simplify 0 into 0 7.409 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.409 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.409 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.410 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.410 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.410 * [backup-simplify]: Simplify (* 1 1) into 1 7.411 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.411 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.411 * [backup-simplify]: Simplify (+ 0 0) into 0 7.412 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 7.412 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.412 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.413 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.414 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.414 * [backup-simplify]: Simplify (* 1 1) into 1 7.414 * [backup-simplify]: Simplify (* 1 1) into 1 7.414 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.415 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.415 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.415 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 7.415 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 7.417 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 7.417 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 7.417 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 7.417 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 7.417 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 7.417 * [taylor]: Taking taylor expansion of 0.5 in N 7.417 * [backup-simplify]: Simplify 0.5 into 0.5 7.417 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.417 * [taylor]: Taking taylor expansion of N in N 7.417 * [backup-simplify]: Simplify 0 into 0 7.417 * [backup-simplify]: Simplify 1 into 1 7.417 * [backup-simplify]: Simplify (* 1 1) into 1 7.417 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 7.418 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 7.418 * [taylor]: Taking taylor expansion of 0.5 in N 7.418 * [backup-simplify]: Simplify 0.5 into 0.5 7.418 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.418 * [taylor]: Taking taylor expansion of N in N 7.418 * [backup-simplify]: Simplify 0 into 0 7.418 * [backup-simplify]: Simplify 1 into 1 7.418 * [backup-simplify]: Simplify (* 1 1) into 1 7.418 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 7.418 * [backup-simplify]: Simplify 0.5 into 0.5 7.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 7.419 * [backup-simplify]: Simplify 0 into 0 7.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.421 * [backup-simplify]: Simplify 0 into 0 7.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.422 * [backup-simplify]: Simplify 0 into 0 7.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.423 * [backup-simplify]: Simplify 0 into 0 7.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.425 * [backup-simplify]: Simplify 0 into 0 7.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.426 * [backup-simplify]: Simplify 0 into 0 7.426 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 7.427 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 7.427 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 7.427 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.427 * [taylor]: Taking taylor expansion of 0.5 in N 7.427 * [backup-simplify]: Simplify 0.5 into 0.5 7.427 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.427 * [taylor]: Taking taylor expansion of N in N 7.427 * [backup-simplify]: Simplify 0 into 0 7.427 * [backup-simplify]: Simplify 1 into 1 7.427 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.427 * [taylor]: Taking taylor expansion of 0.5 in N 7.427 * [backup-simplify]: Simplify 0.5 into 0.5 7.427 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.427 * [taylor]: Taking taylor expansion of N in N 7.427 * [backup-simplify]: Simplify 0 into 0 7.427 * [backup-simplify]: Simplify 1 into 1 7.427 * [backup-simplify]: Simplify (* 1 1) into 1 7.427 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.427 * [backup-simplify]: Simplify 0.5 into 0.5 7.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.428 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.428 * [backup-simplify]: Simplify 0 into 0 7.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.429 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 7.429 * [backup-simplify]: Simplify 0 into 0 7.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.431 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.431 * [backup-simplify]: Simplify 0 into 0 7.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.432 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.432 * [backup-simplify]: Simplify 0 into 0 7.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.434 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.434 * [backup-simplify]: Simplify 0 into 0 7.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.438 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.438 * [backup-simplify]: Simplify 0 into 0 7.439 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 7.439 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 7.439 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 7.439 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.439 * [taylor]: Taking taylor expansion of 0.5 in N 7.439 * [backup-simplify]: Simplify 0.5 into 0.5 7.439 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.439 * [taylor]: Taking taylor expansion of N in N 7.439 * [backup-simplify]: Simplify 0 into 0 7.439 * [backup-simplify]: Simplify 1 into 1 7.439 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 7.439 * [taylor]: Taking taylor expansion of 0.5 in N 7.439 * [backup-simplify]: Simplify 0.5 into 0.5 7.439 * [taylor]: Taking taylor expansion of (pow N 2) in N 7.439 * [taylor]: Taking taylor expansion of N in N 7.439 * [backup-simplify]: Simplify 0 into 0 7.439 * [backup-simplify]: Simplify 1 into 1 7.440 * [backup-simplify]: Simplify (* 1 1) into 1 7.441 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.441 * [backup-simplify]: Simplify 0.5 into 0.5 7.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.442 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.442 * [backup-simplify]: Simplify 0 into 0 7.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.444 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 7.444 * [backup-simplify]: Simplify 0 into 0 7.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.447 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.447 * [backup-simplify]: Simplify 0 into 0 7.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.449 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.449 * [backup-simplify]: Simplify 0 into 0 7.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.452 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.452 * [backup-simplify]: Simplify 0 into 0 7.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.456 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.456 * [backup-simplify]: Simplify 0 into 0 7.456 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 7.456 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 7.456 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 7.456 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 7.456 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 7.456 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.456 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.456 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.456 * [taylor]: Taking taylor expansion of N in N 7.456 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify 1 into 1 7.457 * [backup-simplify]: Simplify (* 1 1) into 1 7.457 * [backup-simplify]: Simplify (* 1 1) into 1 7.458 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 7.458 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 7.458 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.458 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.458 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.458 * [taylor]: Taking taylor expansion of N in N 7.458 * [backup-simplify]: Simplify 0 into 0 7.458 * [backup-simplify]: Simplify 1 into 1 7.458 * [backup-simplify]: Simplify (* 1 1) into 1 7.459 * [backup-simplify]: Simplify (* 1 1) into 1 7.459 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 7.459 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 7.461 * [backup-simplify]: Simplify 0 into 0 7.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.468 * [backup-simplify]: Simplify 0 into 0 7.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.472 * [backup-simplify]: Simplify 0 into 0 7.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.475 * [backup-simplify]: Simplify 0 into 0 7.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.479 * [backup-simplify]: Simplify 0 into 0 7.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.483 * [backup-simplify]: Simplify 0 into 0 7.483 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 7.483 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 7.483 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 7.483 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.483 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.483 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.484 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.484 * [taylor]: Taking taylor expansion of N in N 7.484 * [backup-simplify]: Simplify 0 into 0 7.484 * [backup-simplify]: Simplify 1 into 1 7.484 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.484 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.484 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.484 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.484 * [taylor]: Taking taylor expansion of N in N 7.484 * [backup-simplify]: Simplify 0 into 0 7.484 * [backup-simplify]: Simplify 1 into 1 7.484 * [backup-simplify]: Simplify (* 1 1) into 1 7.485 * [backup-simplify]: Simplify (* 1 1) into 1 7.485 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.485 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.487 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 7.487 * [backup-simplify]: Simplify 0 into 0 7.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.490 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.490 * [backup-simplify]: Simplify 0 into 0 7.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.493 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.493 * [backup-simplify]: Simplify 0 into 0 7.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.497 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.497 * [backup-simplify]: Simplify 0 into 0 7.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.501 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.501 * [backup-simplify]: Simplify 0 into 0 7.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.506 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.506 * [backup-simplify]: Simplify 0 into 0 7.506 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 7.506 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 7.506 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 7.506 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 7.506 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 7.506 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 7.506 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.506 * [taylor]: Taking taylor expansion of N in N 7.506 * [backup-simplify]: Simplify 0 into 0 7.506 * [backup-simplify]: Simplify 1 into 1 7.506 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 7.506 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 7.507 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 7.507 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.507 * [taylor]: Taking taylor expansion of N in N 7.507 * [backup-simplify]: Simplify 0 into 0 7.507 * [backup-simplify]: Simplify 1 into 1 7.507 * [backup-simplify]: Simplify (* 1 1) into 1 7.507 * [backup-simplify]: Simplify (* 1 1) into 1 7.508 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 7.508 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 7.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.510 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 7.510 * [backup-simplify]: Simplify 0 into 0 7.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.513 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 7.513 * [backup-simplify]: Simplify 0 into 0 7.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.515 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.515 * [backup-simplify]: Simplify 0 into 0 7.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.517 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.517 * [backup-simplify]: Simplify 0 into 0 7.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.520 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.520 * [backup-simplify]: Simplify 0 into 0 7.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.522 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.522 * [backup-simplify]: Simplify 0 into 0 7.523 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 7.523 * * * [progress]: simplifying candidates 7.525 * [simplify]: Simplifying: (/ (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (/ 1.0 N))) (exp (/ 0.5 (* N N)))) (/ (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (exp (/ 0.5 (* N N)))) (log (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N)))) (exp (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N)))) (* (cbrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N)))) (cbrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))))) (cbrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N)))) (* (* (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N)))) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N)))) (sqrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N)))) (sqrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N)))) (- (* (+ (* 0.3333333333333333 N) (* (pow N 3) 1.0)) (* N N)) (* (* (pow N 3) N) 0.5)) (* (* (pow N 3) N) (* N N)) (- (* (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ 1.0 N) 3)) (* N N)) (* (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)))) 0.5)) (* (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)))) (* N N)) (- (* (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 1.0 N) (/ 1.0 N))) (* N N)) (* (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) 0.5)) (* (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (* N N)) (- (pow (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))))) (- (/ 0.5 (* N N))) (- (* (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (+ (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (/ (sqrt 0.5) N)) (- (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (/ (sqrt 0.5) N)) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) 7.527 * * [simplify]: Extracting # 0 : cost 0 7.527 * * [simplify]: Extracting # 1 : cost 0 7.527 * * [simplify]: Extracting # 2 : cost 0 7.528 * * [simplify]: Extracting # 3 : cost 0 7.528 * * [simplify]: Extracting # 4 : cost 0 7.528 * * [simplify]: Extracting # 5 : cost 0 7.528 * * [simplify]: Extracting # 6 : cost 0 7.529 * * [simplify]: iteration 0 : 197 enodes (cost 1558 ) 7.620 * * [simplify]: Extracting # 0 : cost 0 7.622 * * [simplify]: Extracting # 1 : cost 0 7.623 * * [simplify]: Extracting # 2 : cost 0 7.625 * * [simplify]: Extracting # 3 : cost 0 7.626 * * [simplify]: Extracting # 4 : cost 0 7.627 * * [simplify]: Extracting # 5 : cost 0 7.628 * * [simplify]: iteration 1 : 526 enodes (cost 1372 ) 8.523 * * [simplify]: Extracting # 0 : cost 0 8.534 * * [simplify]: Extracting # 1 : cost 0 8.546 * * [simplify]: Extracting # 2 : cost 0 8.558 * * [simplify]: Extracting # 3 : cost 0 8.567 * * [simplify]: Extracting # 4 : cost 0 8.577 * * [simplify]: iteration 2 : 3929 enodes (cost 1292 ) 10.887 * * [simplify]: Extracting # 0 : cost 0 10.901 * * [simplify]: Extracting # 1 : cost 0 10.914 * * [simplify]: Extracting # 2 : cost 0 10.932 * * [simplify]: Extracting # 3 : cost 0 10.945 * * [simplify]: iteration done: 5002 enodes (cost 1292 ) 10.946 * [simplify]: Simplified to: (exp (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N)))) (exp (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N)))) (log (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N)))) (exp (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N)))) (* (cbrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N)))) (cbrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))))) (cbrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N)))) (pow (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) 3) (sqrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N)))) (sqrt (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N)))) (- (* (+ (* 0.3333333333333333 N) (* (pow N 3) 1.0)) (* N N)) (* (pow N 4) 0.5)) (pow N 6) (- (* (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (/ 1.0 N) 3)) (* N N)) (* 0.5 (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 1.0 N) (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))))) (* (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 1.0 N) (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (pow N 2)) (- (* (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 1.0 N) (/ 1.0 N))) (* N N)) (* (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) 0.5)) (* (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (* N N)) (- (pow (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 0.5 (* N N)) (+ (/ 0.5 (* N N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)))) (* (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)))) (- (/ 0.5 (* N N))) (- (* (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (+ (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (/ (sqrt 0.5) N)) (- (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N))) (/ (sqrt 0.5) N)) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (pow (/ 0.5 (* N N)) 3) (pow (/ 0.5 (* N N)) 3) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (pow (/ 0.5 (* N N)) 3) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 3/2)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (/ 0.5 (* N N))) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) 10.948 * * * [progress]: adding candidates to table 11.341 * [progress]: [Phase 3 of 3] Extracting. 11.341 * * [regime]: Finding splitpoints for: (# # # #) 11.344 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.344 * * * * [regimes]: Trying to branch on N from (# # # #) 11.417 * * * [regime]: Found split indices: #