22.399 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.083 * * * [progress]: [2/2] Setting up program. 0.087 * [progress]: [Phase 2 of 3] Improving. 0.087 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.087 * * [simplify]: iteration 0: 6 enodes 0.088 * * [simplify]: iteration 1: 9 enodes 0.089 * * [simplify]: iteration 2: 10 enodes 0.090 * * [simplify]: iteration complete: 10 enodes 0.090 * * [simplify]: Extracting #0: cost 1 inf + 0 0.090 * * [simplify]: Extracting #1: cost 4 inf + 0 0.090 * * [simplify]: Extracting #2: cost 6 inf + 0 0.090 * * [simplify]: Extracting #3: cost 6 inf + 1 0.090 * * [simplify]: Extracting #4: cost 0 inf + 560 0.091 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.092 * * [progress]: iteration 1 / 4 0.092 * * * [progress]: picking best candidate 0.097 * * * * [pick]: Picked # 0.097 * * * [progress]: localizing error 0.137 * * * [progress]: generating rewritten candidates 0.137 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.142 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.156 * * * [progress]: generating series expansions 0.157 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.157 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.157 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.157 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.157 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.157 * [taylor]: Taking taylor expansion of N in N 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of 1.0 in N 0.157 * [backup-simplify]: Simplify 1.0 into 1.0 0.157 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.158 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.158 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.158 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.158 * [taylor]: Taking taylor expansion of N in N 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [taylor]: Taking taylor expansion of 1.0 in N 0.158 * [backup-simplify]: Simplify 1.0 into 1.0 0.158 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.158 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.159 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.159 * [backup-simplify]: Simplify (+ 1 0) into 1 0.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.162 * [backup-simplify]: Simplify 1.0 into 1.0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [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)) 0.171 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.173 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.173 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.173 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.173 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of 1.0 in N 0.174 * [backup-simplify]: Simplify 1.0 into 1.0 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.175 * [backup-simplify]: Simplify (log 1) into 0 0.175 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.175 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [taylor]: Taking taylor expansion of 1.0 in N 0.175 * [backup-simplify]: Simplify 1.0 into 1.0 0.176 * [backup-simplify]: Simplify (+ 1 0) into 1 0.176 * [backup-simplify]: Simplify (log 1) into 0 0.177 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.177 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.185 * [backup-simplify]: Simplify 1.0 into 1.0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [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 0.196 * [backup-simplify]: Simplify -0.5 into -0.5 0.196 * [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)))) 0.196 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.196 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.196 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.196 * [taylor]: Taking taylor expansion of 1.0 in N 0.196 * [backup-simplify]: Simplify 1.0 into 1.0 0.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [backup-simplify]: Simplify (- 1) into -1 0.197 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.198 * [backup-simplify]: Simplify (log -1) into (log -1) 0.198 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.198 * [taylor]: Taking taylor expansion of 1.0 in N 0.198 * [backup-simplify]: Simplify 1.0 into 1.0 0.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [backup-simplify]: Simplify (- 1) into -1 0.198 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.199 * [backup-simplify]: Simplify (log -1) into (log -1) 0.199 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.200 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.205 * [backup-simplify]: Simplify -1.0 into -1.0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [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 0.212 * [backup-simplify]: Simplify -0.5 into -0.5 0.213 * [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)))) 0.213 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.213 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.213 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.213 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.213 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.213 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in N 0.213 * [backup-simplify]: Simplify 1.0 into 1.0 0.213 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.214 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.214 * [taylor]: Taking taylor expansion of (log N) in N 0.214 * [taylor]: Taking taylor expansion of N in N 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (log 1) into 0 0.214 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.214 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.214 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.214 * [taylor]: Taking taylor expansion of N in N 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of 1.0 in N 0.214 * [backup-simplify]: Simplify 1.0 into 1.0 0.214 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.215 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.215 * [taylor]: Taking taylor expansion of (log N) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (log 1) into 0 0.215 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.215 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.216 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.216 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.216 * [backup-simplify]: Simplify (+ 1 0) into 1 0.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.221 * [backup-simplify]: Simplify 1.0 into 1.0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [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)) 0.235 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.240 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.244 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.244 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.244 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.244 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.244 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.244 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.244 * [taylor]: Taking taylor expansion of N in N 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [taylor]: Taking taylor expansion of 1.0 in N 0.245 * [backup-simplify]: Simplify 1.0 into 1.0 0.245 * [backup-simplify]: Simplify (+ 1 0) into 1 0.246 * [backup-simplify]: Simplify (log 1) into 0 0.246 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.246 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.246 * [taylor]: Taking taylor expansion of N in N 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [backup-simplify]: Simplify (log 1) into 0 0.246 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.246 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.246 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.246 * [taylor]: Taking taylor expansion of N in N 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [taylor]: Taking taylor expansion of 1.0 in N 0.247 * [backup-simplify]: Simplify 1.0 into 1.0 0.247 * [backup-simplify]: Simplify (+ 1 0) into 1 0.248 * [backup-simplify]: Simplify (log 1) into 0 0.248 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.248 * [taylor]: Taking taylor expansion of N in N 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [backup-simplify]: Simplify (log 1) into 0 0.250 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.251 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.251 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.251 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.261 * [backup-simplify]: Simplify 1.0 into 1.0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [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 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.279 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [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 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.306 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.307 * [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)))) 0.308 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.308 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.308 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.308 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.308 * [taylor]: Taking taylor expansion of 1.0 in N 0.308 * [backup-simplify]: Simplify 1.0 into 1.0 0.308 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.308 * [taylor]: Taking taylor expansion of N in N 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [backup-simplify]: Simplify (- 1) into -1 0.309 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.310 * [backup-simplify]: Simplify (log -1) into (log -1) 0.310 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.310 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.310 * [taylor]: Taking taylor expansion of -1 in N 0.310 * [backup-simplify]: Simplify -1 into -1 0.310 * [taylor]: Taking taylor expansion of N in N 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ -1 1) into -1 0.311 * [backup-simplify]: Simplify (log -1) into (log -1) 0.311 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.311 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.311 * [taylor]: Taking taylor expansion of 1.0 in N 0.311 * [backup-simplify]: Simplify 1.0 into 1.0 0.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.311 * [taylor]: Taking taylor expansion of N in N 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [backup-simplify]: Simplify (- 1) into -1 0.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.312 * [backup-simplify]: Simplify (log -1) into (log -1) 0.312 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.312 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.312 * [taylor]: Taking taylor expansion of -1 in N 0.312 * [backup-simplify]: Simplify -1 into -1 0.312 * [taylor]: Taking taylor expansion of N in N 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (/ -1 1) into -1 0.312 * [backup-simplify]: Simplify (log -1) into (log -1) 0.313 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.313 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.314 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.315 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.322 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [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 0.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.332 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [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 0.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [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 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.360 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.362 * [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)))) 0.362 * * * [progress]: simplifying candidates 0.364 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (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))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 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 1.0) (* 1.0 N)) (* 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)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 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)))) 0.366 * * [simplify]: iteration 0: 127 enodes 0.394 * * [simplify]: iteration 1: 287 enodes 0.538 * * [simplify]: iteration 2: 1090 enodes 1.345 * * [simplify]: iteration complete: 5001 enodes 1.345 * * [simplify]: Extracting #0: cost 45 inf + 0 1.347 * * [simplify]: Extracting #1: cost 853 inf + 1 1.352 * * [simplify]: Extracting #2: cost 1499 inf + 1417 1.370 * * [simplify]: Extracting #3: cost 1056 inf + 74499 1.416 * * [simplify]: Extracting #4: cost 262 inf + 227569 1.458 * * [simplify]: Extracting #5: cost 39 inf + 285451 1.519 * * [simplify]: Extracting #6: cost 4 inf + 293803 1.576 * * [simplify]: Extracting #7: cost 0 inf + 294815 1.635 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (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 (fma (* 1.0 1.0) 1.0 (* N (* N N)))) (log (fma 1.0 (- 1.0 N) (* N N))) (log (* (+ N 1.0) (- N 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))) (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (* (cbrt (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log N)) 0 (- (* (cbrt (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log N)) 0 (- (* (cbrt (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log N)) 0 (- (* (cbrt (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 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))) (* (- (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))) (- (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (log N))) (fma (log N) (+ (log (+ N 1.0)) (log N)) (* (log (+ N 1.0)) (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)) (sqrt (log (+ N 1.0)))) (- (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)) (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) (log (fma 1.0 (- 1.0 N) (* N N)))) (+ (log N) (log (- N 1.0))) (- (log N)) (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma 1.0 N (log 1.0))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (fma (/ 1 N) 1.0 (log -1)) (fma 0.5 (/ (/ 1 N) N) (- (log -1) (log N)))) (- (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma 1.0 N (log 1.0))) (log N)) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (fma (/ 1 N) 1.0 (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) 1.638 * * * [progress]: adding candidates to table 1.859 * * [progress]: iteration 2 / 4 1.859 * * * [progress]: picking best candidate 1.875 * * * * [pick]: Picked # 1.875 * * * [progress]: localizing error 1.890 * * * [progress]: generating rewritten candidates 1.890 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.900 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.920 * * * [progress]: generating series expansions 1.920 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.920 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 1.920 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.920 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.920 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.921 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.921 * [taylor]: Taking taylor expansion of N in N 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [taylor]: Taking taylor expansion of 1.0 in N 1.921 * [backup-simplify]: Simplify 1.0 into 1.0 1.921 * [taylor]: Taking taylor expansion of N in N 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.921 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.922 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.922 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.922 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.922 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.922 * [taylor]: Taking taylor expansion of N in N 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [taylor]: Taking taylor expansion of 1.0 in N 1.922 * [backup-simplify]: Simplify 1.0 into 1.0 1.922 * [taylor]: Taking taylor expansion of N in N 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.922 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.923 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.923 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 1.924 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 1.924 * [backup-simplify]: Simplify (+ 1 0) into 1 1.925 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.929 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.929 * [backup-simplify]: Simplify 1.0 into 1.0 1.929 * [backup-simplify]: Simplify (+ 0 0) into 0 1.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.941 * [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)) 1.942 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.944 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 1.944 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 1.944 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.944 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.944 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.944 * [taylor]: Taking taylor expansion of N in N 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.945 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.945 * [taylor]: Taking taylor expansion of N in N 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify (/ 1 1) into 1 1.945 * [taylor]: Taking taylor expansion of 1.0 in N 1.945 * [backup-simplify]: Simplify 1.0 into 1.0 1.945 * [backup-simplify]: Simplify (+ 1 0) into 1 1.946 * [backup-simplify]: Simplify (* 0 1) into 0 1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.948 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.948 * [backup-simplify]: Simplify (log 1) into 0 1.948 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.948 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.948 * [taylor]: Taking taylor expansion of N in N 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.949 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.949 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.949 * [taylor]: Taking taylor expansion of N in N 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (/ 1 1) into 1 1.949 * [taylor]: Taking taylor expansion of 1.0 in N 1.949 * [backup-simplify]: Simplify 1.0 into 1.0 1.950 * [backup-simplify]: Simplify (+ 1 0) into 1 1.950 * [backup-simplify]: Simplify (* 0 1) into 0 1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.951 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.951 * [backup-simplify]: Simplify (log 1) into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.958 * [backup-simplify]: Simplify 1.0 into 1.0 1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.966 * [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 1.966 * [backup-simplify]: Simplify -0.5 into -0.5 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.977 * [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 1.977 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.977 * [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)))) 1.978 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 1.978 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.978 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.978 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.978 * [taylor]: Taking taylor expansion of -1 in N 1.978 * [backup-simplify]: Simplify -1 into -1 1.978 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.978 * [taylor]: Taking taylor expansion of N in N 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.978 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.978 * [taylor]: Taking taylor expansion of 1.0 in N 1.978 * [backup-simplify]: Simplify 1.0 into 1.0 1.978 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.978 * [taylor]: Taking taylor expansion of N in N 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify (/ 1 1) into 1 1.978 * [backup-simplify]: Simplify (- 1) into -1 1.979 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.979 * [backup-simplify]: Simplify (* 0 -1) into 0 1.979 * [backup-simplify]: Simplify (* -1 0) into 0 1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (- 0) into 0 1.980 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.981 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.981 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.981 * [backup-simplify]: Simplify (log 1) into 0 1.981 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.981 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.981 * [taylor]: Taking taylor expansion of -1 in N 1.981 * [backup-simplify]: Simplify -1 into -1 1.981 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.981 * [taylor]: Taking taylor expansion of N in N 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.982 * [taylor]: Taking taylor expansion of 1.0 in N 1.982 * [backup-simplify]: Simplify 1.0 into 1.0 1.982 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.982 * [taylor]: Taking taylor expansion of N in N 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [backup-simplify]: Simplify (- 1) into -1 1.982 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.983 * [backup-simplify]: Simplify (* 0 -1) into 0 1.983 * [backup-simplify]: Simplify (* -1 0) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (- 0) into 0 1.985 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.986 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 1.987 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 1.987 * [backup-simplify]: Simplify (log 1) into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (- 0) into 0 1.989 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 1.994 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.003 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.003 * [backup-simplify]: Simplify -1.0 into -1.0 2.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (- 0) into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.008 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.022 * [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 2.022 * [backup-simplify]: Simplify -0.5 into -0.5 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (- 0) into 0 2.023 * [backup-simplify]: Simplify (+ 0 0) into 0 2.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.025 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.036 * [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 2.036 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.037 * [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)))) 2.037 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.037 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 2.037 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.037 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.037 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.037 * [taylor]: Taking taylor expansion of N in N 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [taylor]: Taking taylor expansion of 1.0 in N 2.037 * [backup-simplify]: Simplify 1.0 into 1.0 2.037 * [taylor]: Taking taylor expansion of N in N 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.038 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.038 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.038 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.038 * [taylor]: Taking taylor expansion of N in N 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [taylor]: Taking taylor expansion of 1.0 in N 2.038 * [backup-simplify]: Simplify 1.0 into 1.0 2.038 * [taylor]: Taking taylor expansion of N in N 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.038 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.039 * [backup-simplify]: Simplify 1.0 into 1.0 2.039 * [backup-simplify]: Simplify (+ 1 0) into 1 2.039 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.039 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (+ 0 0) into 0 2.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (+ 0 0) into 0 2.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (+ 0 0) into 0 2.046 * [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 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify (+ 0 0) into 0 2.047 * [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 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 2.048 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 2.048 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.048 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.048 * [taylor]: Taking taylor expansion of N in N 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 1 into 1 2.048 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.048 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.048 * [taylor]: Taking taylor expansion of N in N 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 1 into 1 2.049 * [backup-simplify]: Simplify (/ 1 1) into 1 2.049 * [taylor]: Taking taylor expansion of 1.0 in N 2.049 * [backup-simplify]: Simplify 1.0 into 1.0 2.049 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.049 * [taylor]: Taking taylor expansion of N in N 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.049 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.049 * [taylor]: Taking taylor expansion of N in N 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [backup-simplify]: Simplify (/ 1 1) into 1 2.050 * [taylor]: Taking taylor expansion of 1.0 in N 2.050 * [backup-simplify]: Simplify 1.0 into 1.0 2.050 * [backup-simplify]: Simplify (+ 1 0) into 1 2.050 * [backup-simplify]: Simplify (* 0 1) into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.052 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.053 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.055 * [backup-simplify]: Simplify 1.0 into 1.0 2.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (+ 0 0) into 0 2.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (+ 0 0) into 0 2.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (+ 0 0) into 0 2.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [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 2.062 * [backup-simplify]: Simplify (+ 0 0) into 0 2.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.064 * [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 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.066 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.066 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.066 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.066 * [taylor]: Taking taylor expansion of -1 in N 2.066 * [backup-simplify]: Simplify -1 into -1 2.066 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.066 * [taylor]: Taking taylor expansion of N in N 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.066 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.066 * [taylor]: Taking taylor expansion of 1.0 in N 2.066 * [backup-simplify]: Simplify 1.0 into 1.0 2.066 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.066 * [taylor]: Taking taylor expansion of N in N 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (/ 1 1) into 1 2.067 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.067 * [taylor]: Taking taylor expansion of -1 in N 2.067 * [backup-simplify]: Simplify -1 into -1 2.067 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.067 * [taylor]: Taking taylor expansion of N in N 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.067 * [taylor]: Taking taylor expansion of 1.0 in N 2.067 * [backup-simplify]: Simplify 1.0 into 1.0 2.067 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.067 * [taylor]: Taking taylor expansion of N in N 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (/ 1 1) into 1 2.067 * [backup-simplify]: Simplify (- 1) into -1 2.068 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.068 * [backup-simplify]: Simplify (* 0 -1) into 0 2.068 * [backup-simplify]: Simplify (* -1 0) into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (- 0) into 0 2.070 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.070 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.070 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.071 * [backup-simplify]: Simplify (- 0) into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.074 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.075 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.076 * [backup-simplify]: Simplify (- 0) into 0 2.076 * [backup-simplify]: Simplify (+ 0 0) into 0 2.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.077 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify (- 0) into 0 2.078 * [backup-simplify]: Simplify (+ 0 0) into 0 2.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.081 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.081 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (- 0) into 0 2.083 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.088 * [backup-simplify]: Simplify (- 0) into 0 2.088 * [backup-simplify]: Simplify (+ 0 0) into 0 2.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.092 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.093 * [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 2.094 * [backup-simplify]: Simplify (- 0) into 0 2.094 * [backup-simplify]: Simplify (+ 0 0) into 0 2.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.098 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.099 * [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 2.100 * [backup-simplify]: Simplify (- 0) into 0 2.100 * [backup-simplify]: Simplify (+ 0 0) into 0 2.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.105 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.105 * * * [progress]: simplifying candidates 2.107 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (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))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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)) (- (+ (log 1.0) (* 1.0 N)) (+ (* 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) 2.109 * * [simplify]: iteration 0: 112 enodes 2.150 * * [simplify]: iteration 1: 252 enodes 2.313 * * [simplify]: iteration 2: 1063 enodes 2.737 * * [simplify]: iteration complete: 5001 enodes 2.737 * * [simplify]: Extracting #0: cost 67 inf + 0 2.739 * * [simplify]: Extracting #1: cost 504 inf + 2 2.762 * * [simplify]: Extracting #2: cost 1432 inf + 13277 2.797 * * [simplify]: Extracting #3: cost 1583 inf + 117951 2.881 * * [simplify]: Extracting #4: cost 123 inf + 299454 2.953 * * [simplify]: Extracting #5: cost 18 inf + 314390 3.017 * * [simplify]: Extracting #6: cost 0 inf + 319527 3.083 * [simplify]: Simplified to: (expm1 (log (/ (+ 1.0 N) N))) (log1p (log (/ (+ 1.0 N) N))) (log (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (* (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (* (/ (cbrt (+ 1.0 N)) (sqrt N)) (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (+ (log (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (sqrt (+ 1.0 N))) (log (/ (sqrt (+ 1.0 N)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) 0 (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (* (* (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (expm1 (/ (+ 1.0 N) N)) (log1p (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (exp (/ (+ 1.0 N) N)) (* (/ (+ 1.0 N) N) (* (/ (+ 1.0 N) N) (/ (+ 1.0 N) N))) (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))) (cbrt (/ (+ 1.0 N) N)) (* (/ (+ 1.0 N) N) (* (/ (+ 1.0 N) N) (/ (+ 1.0 N) N))) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (- (- N) 1.0) (- N) (* (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (cbrt N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (* (/ (cbrt (+ 1.0 N)) (sqrt N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) (sqrt N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) N) (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (sqrt (+ 1.0 N)) (/ (sqrt (+ 1.0 N)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ 1.0 N))) (/ N (sqrt (+ 1.0 N))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (fma (- 1.0 N) 1.0 (* N N))) (* (- N 1.0) N) (- (fma N 1.0 (log 1.0)) (fma (* (/ N 1.0) (/ N 1.0)) 1/2 (log N))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (* N (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 3.086 * * * [progress]: adding candidates to table 3.322 * * [progress]: iteration 3 / 4 3.322 * * * [progress]: picking best candidate 3.336 * * * * [pick]: Picked # 3.336 * * * [progress]: localizing error 3.349 * * * [progress]: generating rewritten candidates 3.349 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.370 * * * [progress]: generating series expansions 3.370 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.370 * [backup-simplify]: Simplify (log (+ (/ 1.0 N) 1)) into (log (+ (* 1.0 (/ 1 N)) 1)) 3.370 * [approximate]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in (N) around 0 3.370 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 3.370 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 3.370 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.370 * [taylor]: Taking taylor expansion of 1.0 in N 3.370 * [backup-simplify]: Simplify 1.0 into 1.0 3.370 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.370 * [taylor]: Taking taylor expansion of N in N 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 1 into 1 3.371 * [backup-simplify]: Simplify (/ 1 1) into 1 3.371 * [taylor]: Taking taylor expansion of 1 in N 3.371 * [backup-simplify]: Simplify 1 into 1 3.372 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.372 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.372 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.372 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 3.373 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 3.373 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.373 * [taylor]: Taking taylor expansion of 1.0 in N 3.373 * [backup-simplify]: Simplify 1.0 into 1.0 3.373 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.373 * [taylor]: Taking taylor expansion of N in N 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 1 into 1 3.373 * [backup-simplify]: Simplify (/ 1 1) into 1 3.373 * [taylor]: Taking taylor expansion of 1 in N 3.373 * [backup-simplify]: Simplify 1 into 1 3.374 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.374 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.375 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.376 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.376 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 3.378 * [backup-simplify]: Simplify (+ 0 1) into 1 3.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.384 * [backup-simplify]: Simplify 1.0 into 1.0 3.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.386 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.386 * [backup-simplify]: Simplify (+ 0 0) into 0 3.392 * [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)) 3.393 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.394 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 3.394 * [backup-simplify]: Simplify (log (+ (/ 1.0 (/ 1 N)) 1)) into (log (+ (* 1.0 N) 1)) 3.394 * [approximate]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in (N) around 0 3.394 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 3.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 3.394 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.394 * [taylor]: Taking taylor expansion of 1.0 in N 3.394 * [backup-simplify]: Simplify 1.0 into 1.0 3.394 * [taylor]: Taking taylor expansion of N in N 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify 1 into 1 3.394 * [taylor]: Taking taylor expansion of 1 in N 3.394 * [backup-simplify]: Simplify 1 into 1 3.395 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.395 * [backup-simplify]: Simplify (+ 0 1) into 1 3.395 * [backup-simplify]: Simplify (log 1) into 0 3.395 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 3.395 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 3.395 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.395 * [taylor]: Taking taylor expansion of 1.0 in N 3.395 * [backup-simplify]: Simplify 1.0 into 1.0 3.395 * [taylor]: Taking taylor expansion of N in N 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify 1 into 1 3.395 * [taylor]: Taking taylor expansion of 1 in N 3.395 * [backup-simplify]: Simplify 1 into 1 3.396 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.396 * [backup-simplify]: Simplify (+ 0 1) into 1 3.396 * [backup-simplify]: Simplify (log 1) into 0 3.396 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.397 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.401 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.401 * [backup-simplify]: Simplify 1.0 into 1.0 3.401 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.402 * [backup-simplify]: Simplify (+ 0 0) into 0 3.408 * [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 3.408 * [backup-simplify]: Simplify -0.5 into -0.5 3.409 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.409 * [backup-simplify]: Simplify (+ 0 0) into 0 3.421 * [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 3.421 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.422 * [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)))) 3.422 * [backup-simplify]: Simplify (log (+ (/ 1.0 (/ 1 (- N))) 1)) into (log (- 1 (* 1.0 N))) 3.422 * [approximate]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in (N) around 0 3.422 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 3.422 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 3.422 * [taylor]: Taking taylor expansion of 1 in N 3.422 * [backup-simplify]: Simplify 1 into 1 3.422 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.422 * [taylor]: Taking taylor expansion of 1.0 in N 3.422 * [backup-simplify]: Simplify 1.0 into 1.0 3.422 * [taylor]: Taking taylor expansion of N in N 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify 1 into 1 3.423 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.423 * [backup-simplify]: Simplify (- 0) into 0 3.423 * [backup-simplify]: Simplify (+ 1 0) into 1 3.424 * [backup-simplify]: Simplify (log 1) into 0 3.424 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 3.424 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 3.424 * [taylor]: Taking taylor expansion of 1 in N 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.424 * [taylor]: Taking taylor expansion of 1.0 in N 3.424 * [backup-simplify]: Simplify 1.0 into 1.0 3.424 * [taylor]: Taking taylor expansion of N in N 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.425 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.425 * [backup-simplify]: Simplify (- 0) into 0 3.425 * [backup-simplify]: Simplify (+ 1 0) into 1 3.426 * [backup-simplify]: Simplify (log 1) into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.427 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.428 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 3.432 * [backup-simplify]: Simplify -1.0 into -1.0 3.433 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.433 * [backup-simplify]: Simplify (- 0) into 0 3.433 * [backup-simplify]: Simplify (+ 0 0) into 0 3.440 * [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 3.440 * [backup-simplify]: Simplify -0.5 into -0.5 3.441 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.441 * [backup-simplify]: Simplify (- 0) into 0 3.441 * [backup-simplify]: Simplify (+ 0 0) into 0 3.453 * [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 3.453 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.454 * [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)))) 3.454 * * * [progress]: simplifying candidates 3.454 * [simplify]: Simplifying: (expm1 (log (+ (/ 1.0 N) 1))) (log1p (log (+ (/ 1.0 N) 1))) (log (* (cbrt (+ (/ 1.0 N) 1)) (cbrt (+ (/ 1.0 N) 1)))) (log (cbrt (+ (/ 1.0 N) 1))) (log (sqrt (+ (/ 1.0 N) 1))) (log (sqrt (+ (/ 1.0 N) 1))) (log 1) (log (+ (/ 1.0 N) 1)) (log 1) (log (+ (/ 1.0 N) 1)) (log (+ (pow (/ 1.0 N) 3) (pow 1 3))) (log (+ (* (/ 1.0 N) (/ 1.0 N)) (- (* 1 1) (* (/ 1.0 N) 1)))) (log (- (* (/ 1.0 N) (/ 1.0 N)) (* 1 1))) (log (- (/ 1.0 N) 1)) (log (+ (/ 1.0 N) 1)) (log (log (+ (/ 1.0 N) 1))) (exp (log (+ (/ 1.0 N) 1))) (* (cbrt (log (+ (/ 1.0 N) 1))) (cbrt (log (+ (/ 1.0 N) 1)))) (cbrt (log (+ (/ 1.0 N) 1))) (* (* (log (+ (/ 1.0 N) 1)) (log (+ (/ 1.0 N) 1))) (log (+ (/ 1.0 N) 1))) (sqrt (log (+ (/ 1.0 N) 1))) (sqrt (log (+ (/ 1.0 N) 1))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 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)))) 3.455 * * [simplify]: iteration 0: 60 enodes 3.477 * * [simplify]: iteration 1: 148 enodes 3.554 * * [simplify]: iteration 2: 591 enodes 3.878 * * [simplify]: iteration complete: 5000 enodes 3.878 * * [simplify]: Extracting #0: cost 19 inf + 0 3.879 * * [simplify]: Extracting #1: cost 230 inf + 1 3.881 * * [simplify]: Extracting #2: cost 791 inf + 3382 3.891 * * [simplify]: Extracting #3: cost 1408 inf + 48512 3.928 * * [simplify]: Extracting #4: cost 484 inf + 159002 3.978 * * [simplify]: Extracting #5: cost 25 inf + 209352 4.041 * * [simplify]: Extracting #6: cost 2 inf + 213576 4.085 * * [simplify]: Extracting #7: cost 0 inf + 214082 4.135 * [simplify]: Simplified to: (/ 1.0 N) (log1p (log1p (/ 1.0 N))) (log (* (cbrt (+ (/ 1.0 N) 1)) (cbrt (+ (/ 1.0 N) 1)))) (log (cbrt (+ (/ 1.0 N) 1))) (log (sqrt (+ (/ 1.0 N) 1))) (log (sqrt (+ (/ 1.0 N) 1))) 0 (log1p (/ 1.0 N)) 0 (log1p (/ 1.0 N)) (log (fma (* (/ 1.0 N) (/ 1.0 N)) (/ 1.0 N) 1)) (log (fma (/ 1.0 N) (/ 1.0 N) (- 1 (/ 1.0 N)))) (log (fma (/ 1.0 N) (/ 1.0 N) -1)) (log (+ -1 (/ 1.0 N))) (log1p (/ 1.0 N)) (log (log1p (/ 1.0 N))) (+ (/ 1.0 N) 1) (* (cbrt (log1p (/ 1.0 N))) (cbrt (log1p (/ 1.0 N)))) (cbrt (log1p (/ 1.0 N))) (* (* (log1p (/ 1.0 N)) (log1p (/ 1.0 N))) (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (- (fma 1.0 N (log 1.0)) (fma (* (/ N 1.0) (/ N 1.0)) 1/2 (log N))) (- (+ (/ 0.3333333333333333 (* N (* N N))) (/ 1.0 N)) (/ (/ 0.5 N) N)) (- (+ (/ 0.3333333333333333 (* N (* N N))) (/ 1.0 N)) (/ (/ 0.5 N) N)) 4.136 * * * [progress]: adding candidates to table 4.212 * * [progress]: iteration 4 / 4 4.212 * * * [progress]: picking best candidate 4.218 * * * * [pick]: Picked # 4.218 * * * [progress]: localizing error 4.225 * * * [progress]: generating rewritten candidates 4.225 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.225 * * * [progress]: generating series expansions 4.225 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.226 * [backup-simplify]: Simplify (log1p (/ 1.0 N)) into (log1p (/ 1.0 N)) 4.226 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 N)) in (N) around 0 4.226 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 4.226 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 4.226 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 4.227 * [taylor]: Taking taylor expansion of 1 in N 4.227 * [backup-simplify]: Simplify 1 into 1 4.227 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 4.227 * [taylor]: Taking taylor expansion of 1.0 in N 4.227 * [backup-simplify]: Simplify 1.0 into 1.0 4.227 * [taylor]: Taking taylor expansion of N in N 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify 1 into 1 4.227 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.227 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.228 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.228 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 4.228 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 4.228 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 4.228 * [taylor]: Taking taylor expansion of 1 in N 4.228 * [backup-simplify]: Simplify 1 into 1 4.228 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 4.228 * [taylor]: Taking taylor expansion of 1.0 in N 4.228 * [backup-simplify]: Simplify 1.0 into 1.0 4.228 * [taylor]: Taking taylor expansion of N in N 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 1 into 1 4.228 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.229 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.229 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.229 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 4.230 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 4.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 4.230 * [backup-simplify]: Simplify (+ 1 0) into 1 4.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.234 * [backup-simplify]: Simplify 1.0 into 1.0 4.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.234 * [backup-simplify]: Simplify (+ 0 0) into 0 4.241 * [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)) 4.242 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 4.244 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 4.244 * [backup-simplify]: Simplify (log1p (/ 1.0 (/ 1 N))) into (log1p (* 1.0 N)) 4.244 * [approximate]: Taking taylor expansion of (log1p (* 1.0 N)) in (N) around 0 4.244 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 4.245 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 4.245 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 4.245 * [taylor]: Taking taylor expansion of 1 in N 4.245 * [backup-simplify]: Simplify 1 into 1 4.245 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.245 * [taylor]: Taking taylor expansion of 1.0 in N 4.245 * [backup-simplify]: Simplify 1.0 into 1.0 4.245 * [taylor]: Taking taylor expansion of N in N 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 1 into 1 4.245 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.246 * [backup-simplify]: Simplify (+ 1 0) into 1 4.246 * [backup-simplify]: Simplify (log 1) into 0 4.246 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 4.246 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 4.246 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 4.246 * [taylor]: Taking taylor expansion of 1 in N 4.246 * [backup-simplify]: Simplify 1 into 1 4.246 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.246 * [taylor]: Taking taylor expansion of 1.0 in N 4.246 * [backup-simplify]: Simplify 1.0 into 1.0 4.246 * [taylor]: Taking taylor expansion of N in N 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify 1 into 1 4.247 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.247 * [backup-simplify]: Simplify (+ 1 0) into 1 4.248 * [backup-simplify]: Simplify (log 1) into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.250 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.256 * [backup-simplify]: Simplify 1.0 into 1.0 4.257 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.258 * [backup-simplify]: Simplify (+ 0 0) into 0 4.268 * [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 4.268 * [backup-simplify]: Simplify -0.5 into -0.5 4.269 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.269 * [backup-simplify]: Simplify (+ 0 0) into 0 4.279 * [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 4.279 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.279 * [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)))) 4.280 * [backup-simplify]: Simplify (log1p (/ 1.0 (/ 1 (- N)))) into (log1p (* -1.0 N)) 4.280 * [approximate]: Taking taylor expansion of (log1p (* -1.0 N)) in (N) around 0 4.280 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 4.280 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 4.280 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 4.280 * [taylor]: Taking taylor expansion of 1 in N 4.280 * [backup-simplify]: Simplify 1 into 1 4.280 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 4.280 * [taylor]: Taking taylor expansion of -1.0 in N 4.280 * [backup-simplify]: Simplify -1.0 into -1.0 4.280 * [taylor]: Taking taylor expansion of N in N 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 1 into 1 4.280 * [backup-simplify]: Simplify (* -1.0 0) into 0 4.280 * [backup-simplify]: Simplify (+ 1 0) into 1 4.281 * [backup-simplify]: Simplify (log 1) into 0 4.281 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 4.281 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 4.281 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 4.281 * [taylor]: Taking taylor expansion of 1 in N 4.281 * [backup-simplify]: Simplify 1 into 1 4.281 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 4.281 * [taylor]: Taking taylor expansion of -1.0 in N 4.281 * [backup-simplify]: Simplify -1.0 into -1.0 4.281 * [taylor]: Taking taylor expansion of N in N 4.281 * [backup-simplify]: Simplify 0 into 0 4.281 * [backup-simplify]: Simplify 1 into 1 4.281 * [backup-simplify]: Simplify (* -1.0 0) into 0 4.282 * [backup-simplify]: Simplify (+ 1 0) into 1 4.282 * [backup-simplify]: Simplify (log 1) into 0 4.282 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 4.284 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.288 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 4.288 * [backup-simplify]: Simplify -1.0 into -1.0 4.289 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.289 * [backup-simplify]: Simplify (+ 0 0) into 0 4.299 * [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 4.299 * [backup-simplify]: Simplify -0.5 into -0.5 4.301 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.301 * [backup-simplify]: Simplify (+ 0 0) into 0 4.324 * [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 4.324 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.324 * [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)))) 4.324 * * * [progress]: simplifying candidates 4.325 * [simplify]: Simplifying: (+ 1 (/ 1.0 N)) (expm1 (log1p (/ 1.0 N))) (log1p (log1p (/ 1.0 N))) (log (log1p (/ 1.0 N))) (exp (log1p (/ 1.0 N))) (* (cbrt (log1p (/ 1.0 N))) (cbrt (log1p (/ 1.0 N)))) (cbrt (log1p (/ 1.0 N))) (* (* (log1p (/ 1.0 N)) (log1p (/ 1.0 N))) (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 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)))) 4.325 * * [simplify]: iteration 0: 39 enodes 4.336 * * [simplify]: iteration 1: 84 enodes 4.374 * * [simplify]: iteration 2: 277 enodes 4.583 * * [simplify]: iteration 3: 1140 enodes 4.981 * * [simplify]: iteration complete: 5000 enodes 4.981 * * [simplify]: Extracting #0: cost 11 inf + 0 4.982 * * [simplify]: Extracting #1: cost 163 inf + 0 4.998 * * [simplify]: Extracting #2: cost 1546 inf + 1434 5.029 * * [simplify]: Extracting #3: cost 1075 inf + 67686 5.095 * * [simplify]: Extracting #4: cost 263 inf + 166096 5.166 * * [simplify]: Extracting #5: cost 26 inf + 226070 5.210 * * [simplify]: Extracting #6: cost 0 inf + 235379 5.275 * [simplify]: Simplified to: (+ 1 (/ 1.0 N)) (/ 1.0 N) (log1p (log1p (/ 1.0 N))) (log (log1p (/ 1.0 N))) (exp (log1p (/ 1.0 N))) (* (cbrt (log1p (/ 1.0 N))) (cbrt (log1p (/ 1.0 N)))) (cbrt (log1p (/ 1.0 N))) (* (* (log1p (/ 1.0 N)) (log1p (/ 1.0 N))) (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (- (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma 1.0 N (log 1.0))) (log N)) (fma 1.0 (/ 1 N) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (fma 1.0 (/ 1 N) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) 5.276 * * * [progress]: adding candidates to table 5.341 * [progress]: [Phase 3 of 3] Extracting. 5.341 * * [regime]: Finding splitpoints for: (# #) 5.342 * * * [regime-changes]: Trying 1 branch expressions: (N) 5.342 * * * * [regimes]: Trying to branch on N from (# #) 5.379 * * * [regime]: Found split indices: #