29.070 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.092 * * * [progress]: [2/2] Setting up program. 0.096 * [progress]: [Phase 2 of 3] Improving. 0.096 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.096 * * [simplify]: Extracting # 0 : cost 0 0.096 * * [simplify]: Extracting # 1 : cost 0 0.096 * * [simplify]: Extracting # 2 : cost 0 0.096 * * [simplify]: Extracting # 3 : cost 0 0.096 * * [simplify]: Extracting # 4 : cost 0 0.097 * * [simplify]: Extracting # 5 : cost 0 0.097 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.098 * * [simplify]: Extracting # 0 : cost 0 0.099 * * [simplify]: Extracting # 1 : cost 0 0.099 * * [simplify]: Extracting # 2 : cost 0 0.099 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.101 * * [simplify]: Extracting # 0 : cost 0 0.101 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.104 * * [simplify]: Extracting # 0 : cost 0 0.104 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.104 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.104 * * [progress]: iteration 1 / 4 0.105 * * * [progress]: picking best candidate 0.108 * * * * [pick]: Picked # 0.108 * * * [progress]: localizing error 0.123 * * * [progress]: generating rewritten candidates 0.123 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.138 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.145 * * * [progress]: generating series expansions 0.145 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.145 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.146 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.146 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.146 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.146 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.146 * [taylor]: Taking taylor expansion of N in N 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [taylor]: Taking taylor expansion of 1.0 in N 0.146 * [backup-simplify]: Simplify 1.0 into 1.0 0.162 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.163 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.163 * [taylor]: Taking taylor expansion of (log N) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (log 1) into 0 0.163 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.163 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.163 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [taylor]: Taking taylor expansion of 1.0 in N 0.163 * [backup-simplify]: Simplify 1.0 into 1.0 0.164 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.164 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.164 * [taylor]: Taking taylor expansion of (log N) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (log 1) into 0 0.165 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.165 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.165 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.166 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.166 * [backup-simplify]: Simplify (+ 1 0) into 1 0.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.170 * [backup-simplify]: Simplify (- 0) into 0 0.171 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.171 * [backup-simplify]: Simplify 1.0 into 1.0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [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)) 0.180 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.184 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.186 * [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))) 0.186 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.186 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.186 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.186 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.186 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [taylor]: Taking taylor expansion of 1.0 in N 0.187 * [backup-simplify]: Simplify 1.0 into 1.0 0.187 * [backup-simplify]: Simplify (+ 1 0) into 1 0.187 * [backup-simplify]: Simplify (log 1) into 0 0.187 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.187 * [taylor]: Taking taylor expansion of N in N 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [backup-simplify]: Simplify (log 1) into 0 0.188 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.188 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [taylor]: Taking taylor expansion of 1.0 in N 0.188 * [backup-simplify]: Simplify 1.0 into 1.0 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify (log 1) into 0 0.189 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [backup-simplify]: Simplify (log 1) into 0 0.191 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.191 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.191 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.191 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.202 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.202 * [backup-simplify]: Simplify 1.0 into 1.0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [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 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.223 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [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 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [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 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.238 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.239 * [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)))) 0.239 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.239 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.239 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.239 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.239 * [taylor]: Taking taylor expansion of 1.0 in N 0.239 * [backup-simplify]: Simplify 1.0 into 1.0 0.239 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.239 * [taylor]: Taking taylor expansion of N in N 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [backup-simplify]: Simplify (- 1) into -1 0.240 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.240 * [backup-simplify]: Simplify (log -1) into (log -1) 0.240 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.240 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.240 * [taylor]: Taking taylor expansion of -1 in N 0.240 * [backup-simplify]: Simplify -1 into -1 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ -1 1) into -1 0.241 * [backup-simplify]: Simplify (log -1) into (log -1) 0.241 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.241 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.241 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.241 * [taylor]: Taking taylor expansion of 1.0 in N 0.241 * [backup-simplify]: Simplify 1.0 into 1.0 0.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.241 * [taylor]: Taking taylor expansion of N in N 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [backup-simplify]: Simplify (- 1) into -1 0.242 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.242 * [backup-simplify]: Simplify (log -1) into (log -1) 0.242 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.242 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.242 * [taylor]: Taking taylor expansion of -1 in N 0.242 * [backup-simplify]: Simplify -1 into -1 0.242 * [taylor]: Taking taylor expansion of N in N 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ -1 1) into -1 0.243 * [backup-simplify]: Simplify (log -1) into (log -1) 0.243 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.244 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.244 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.245 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.252 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [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 0.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.263 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [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 0.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [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 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.283 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.284 * [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)))) 0.285 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.285 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.285 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.285 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.285 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.285 * [taylor]: Taking taylor expansion of N in N 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [taylor]: Taking taylor expansion of 1.0 in N 0.285 * [backup-simplify]: Simplify 1.0 into 1.0 0.285 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.285 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.285 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.285 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.285 * [taylor]: Taking taylor expansion of N in N 0.285 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of 1.0 in N 0.286 * [backup-simplify]: Simplify 1.0 into 1.0 0.286 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.286 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.286 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.287 * [backup-simplify]: Simplify (+ 1 0) into 1 0.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.290 * [backup-simplify]: Simplify 1.0 into 1.0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [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)) 0.297 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.298 * [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)))) 0.298 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.298 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.298 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.299 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.299 * [taylor]: Taking taylor expansion of N in N 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [taylor]: Taking taylor expansion of 1.0 in N 0.299 * [backup-simplify]: Simplify 1.0 into 1.0 0.299 * [backup-simplify]: Simplify (+ 1 0) into 1 0.299 * [backup-simplify]: Simplify (log 1) into 0 0.299 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.299 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.299 * [taylor]: Taking taylor expansion of N in N 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [taylor]: Taking taylor expansion of 1.0 in N 0.300 * [backup-simplify]: Simplify 1.0 into 1.0 0.300 * [backup-simplify]: Simplify (+ 1 0) into 1 0.300 * [backup-simplify]: Simplify (log 1) into 0 0.301 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.301 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.306 * [backup-simplify]: Simplify 1.0 into 1.0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [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 0.313 * [backup-simplify]: Simplify -0.5 into -0.5 0.313 * [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)))) 0.314 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.314 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.314 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.314 * [taylor]: Taking taylor expansion of 1.0 in N 0.314 * [backup-simplify]: Simplify 1.0 into 1.0 0.314 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.314 * [taylor]: Taking taylor expansion of N in N 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [backup-simplify]: Simplify (- 1) into -1 0.315 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.315 * [backup-simplify]: Simplify (log -1) into (log -1) 0.315 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.315 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.315 * [taylor]: Taking taylor expansion of 1.0 in N 0.315 * [backup-simplify]: Simplify 1.0 into 1.0 0.315 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.315 * [taylor]: Taking taylor expansion of N in N 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [backup-simplify]: Simplify (- 1) into -1 0.316 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.316 * [backup-simplify]: Simplify (log -1) into (log -1) 0.317 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.317 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.322 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.322 * [backup-simplify]: Simplify -1.0 into -1.0 0.323 * [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 0.330 * [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 -0.5 into -0.5 0.330 * [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)))) 0.330 * * * [progress]: simplifying candidates 0.332 * [simplify]: Simplifying: (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)) (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))) (- (+ (* 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)))) 0.333 * * [simplify]: Extracting # 0 : cost 0 0.333 * * [simplify]: Extracting # 1 : cost 0 0.334 * * [simplify]: Extracting # 2 : cost 0 0.334 * * [simplify]: Extracting # 3 : cost 0 0.334 * * [simplify]: Extracting # 4 : cost 0 0.334 * * [simplify]: Extracting # 5 : cost 0 0.334 * * [simplify]: Extracting # 6 : cost 0 0.335 * * [simplify]: Extracting # 7 : cost 0 0.335 * * [simplify]: Extracting # 8 : cost 0 0.335 * * [simplify]: Extracting # 9 : cost 0 0.335 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.374 * * [simplify]: Extracting # 0 : cost 0 0.374 * * [simplify]: Extracting # 1 : cost 0 0.375 * * [simplify]: Extracting # 2 : cost 0 0.375 * * [simplify]: Extracting # 3 : cost 0 0.375 * * [simplify]: Extracting # 4 : cost 0 0.376 * * [simplify]: iteration 1 : 277 enodes (cost 855 ) 0.518 * * [simplify]: Extracting # 0 : cost 0 0.519 * * [simplify]: Extracting # 1 : cost 0 0.520 * * [simplify]: Extracting # 2 : cost 0 0.521 * * [simplify]: Extracting # 3 : cost 0 0.522 * * [simplify]: Extracting # 4 : cost 0 0.522 * * [simplify]: iteration 2 : 666 enodes (cost 705 ) 0.975 * * [simplify]: Extracting # 0 : cost 0 0.979 * * [simplify]: Extracting # 1 : cost 0 0.983 * * [simplify]: Extracting # 2 : cost 0 0.994 * * [simplify]: Extracting # 3 : cost 0 0.998 * * [simplify]: iteration 3 : 2050 enodes (cost 614 ) 3.855 * * [simplify]: Extracting # 0 : cost 0 3.862 * * [simplify]: Extracting # 1 : cost 0 3.872 * * [simplify]: Extracting # 2 : cost 0 3.880 * * [simplify]: Extracting # 3 : cost 0 3.894 * * [simplify]: Extracting # 4 : cost 0 3.898 * * [simplify]: iteration done: 5000 enodes (cost 592 ) 3.899 * [simplify]: Simplified to: (- (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 (- (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))) (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)) (fma (log N) (log N) (* (log (+ N 1.0)) (+ (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)) (fma -2 (log (cbrt N)) (log (+ N 1.0))) (- (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 N N (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 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 (fma 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))) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ -1/2 1.0) (/ (* N N) 1.0) (fma 1.0 N (log 1.0))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) 3.899 * * * [progress]: adding candidates to table 4.059 * * [progress]: iteration 2 / 4 4.059 * * * [progress]: picking best candidate 4.063 * * * * [pick]: Picked # 4.063 * * * [progress]: localizing error 4.084 * * * [progress]: generating rewritten candidates 4.084 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 4.101 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 4.106 * * * [progress]: generating series expansions 4.106 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 4.106 * [backup-simplify]: Simplify (/ 1 (pow N 2)) into (/ 1 (pow N 2)) 4.106 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 4.106 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.106 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.106 * [taylor]: Taking taylor expansion of N in N 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify 1 into 1 4.107 * [backup-simplify]: Simplify (* 1 1) into 1 4.107 * [backup-simplify]: Simplify (/ 1 1) into 1 4.107 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.107 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.107 * [taylor]: Taking taylor expansion of N in N 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.108 * [backup-simplify]: Simplify (* 1 1) into 1 4.108 * [backup-simplify]: Simplify (/ 1 1) into 1 4.108 * [backup-simplify]: Simplify 1 into 1 4.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.114 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.118 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 4.121 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 N) 2)) into (pow N 2) 4.121 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 4.121 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.121 * [taylor]: Taking taylor expansion of N in N 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 1 into 1 4.121 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.121 * [taylor]: Taking taylor expansion of N in N 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify (* 1 1) into 1 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.122 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.123 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.125 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.127 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 4.130 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 (- N)) 2)) into (pow N 2) 4.130 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 4.130 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.130 * [taylor]: Taking taylor expansion of N in N 4.130 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify 1 into 1 4.130 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.130 * [taylor]: Taking taylor expansion of N in N 4.130 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify 1 into 1 4.130 * [backup-simplify]: Simplify (* 1 1) into 1 4.130 * [backup-simplify]: Simplify 1 into 1 4.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.132 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.133 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.134 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.136 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.137 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 4.138 * * * * [progress]: [ 2 / 2 ] generating series at (2) 4.138 * [backup-simplify]: Simplify (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) into (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) 4.138 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in (N) around 0 4.138 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 4.138 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 4.138 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 4.138 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.138 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.138 * [taylor]: Taking taylor expansion of N in N 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.139 * [backup-simplify]: Simplify (* 1 1) into 1 4.139 * [backup-simplify]: Simplify (/ 1 1) into 1 4.139 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 4.139 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 4.139 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.139 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.139 * [taylor]: Taking taylor expansion of N in N 4.139 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify 1 into 1 4.140 * [backup-simplify]: Simplify (/ 1 1) into 1 4.140 * [taylor]: Taking taylor expansion of 0.5 in N 4.140 * [backup-simplify]: Simplify 0.5 into 0.5 4.140 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 4.140 * [taylor]: Taking taylor expansion of 1.0 in N 4.140 * [backup-simplify]: Simplify 1.0 into 1.0 4.140 * [taylor]: Taking taylor expansion of N in N 4.140 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify 1 into 1 4.141 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.141 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 4.141 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 4.141 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 4.141 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 4.141 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.141 * [taylor]: Taking taylor expansion of N in N 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 1 into 1 4.141 * [backup-simplify]: Simplify (* 1 1) into 1 4.142 * [backup-simplify]: Simplify (/ 1 1) into 1 4.142 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 4.142 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 4.142 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.142 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.142 * [taylor]: Taking taylor expansion of N in N 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [backup-simplify]: Simplify (/ 1 1) into 1 4.142 * [taylor]: Taking taylor expansion of 0.5 in N 4.142 * [backup-simplify]: Simplify 0.5 into 0.5 4.142 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 4.143 * [taylor]: Taking taylor expansion of 1.0 in N 4.143 * [backup-simplify]: Simplify 1.0 into 1.0 4.143 * [taylor]: Taking taylor expansion of N in N 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 1 into 1 4.143 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.144 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.144 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.144 * [backup-simplify]: Simplify (* 1 0.3333333333333333) into 0.3333333333333333 4.145 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.145 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.147 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 4.147 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.148 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (+ (* 1 (- 0.5)) (* 0 0.3333333333333333)) into (- 0.5) 4.159 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 4.159 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.161 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 4.162 * [backup-simplify]: Simplify (- 0) into 0 4.162 * [backup-simplify]: Simplify (+ 0 0) into 0 4.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 0.3333333333333333))) into 0 4.166 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.166 * [backup-simplify]: Simplify 1.0 into 1.0 4.167 * [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)))) 4.167 * [backup-simplify]: Simplify (fma (/ 1 (pow (/ 1 N) 2)) (- (/ 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 (/ 1 N))) into (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) 4.167 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in (N) around 0 4.167 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 4.168 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 4.168 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 4.168 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.168 * [taylor]: Taking taylor expansion of N in N 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify 1 into 1 4.168 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 4.168 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 4.168 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.168 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.168 * [taylor]: Taking taylor expansion of N in N 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify 1 into 1 4.168 * [taylor]: Taking taylor expansion of 0.5 in N 4.168 * [backup-simplify]: Simplify 0.5 into 0.5 4.168 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.168 * [taylor]: Taking taylor expansion of 1.0 in N 4.168 * [backup-simplify]: Simplify 1.0 into 1.0 4.168 * [taylor]: Taking taylor expansion of N in N 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify 1 into 1 4.168 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 4.168 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 4.168 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 4.168 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.168 * [taylor]: Taking taylor expansion of N in N 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify 1 into 1 4.168 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 4.168 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 4.169 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.169 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.169 * [taylor]: Taking taylor expansion of N in N 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 1 into 1 4.169 * [taylor]: Taking taylor expansion of 0.5 in N 4.169 * [backup-simplify]: Simplify 0.5 into 0.5 4.169 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 4.169 * [taylor]: Taking taylor expansion of 1.0 in N 4.169 * [backup-simplify]: Simplify 1.0 into 1.0 4.169 * [taylor]: Taking taylor expansion of N in N 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 1 into 1 4.169 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.169 * [backup-simplify]: Simplify (+ 0 0) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.171 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.171 * [backup-simplify]: Simplify 1.0 into 1.0 4.171 * [backup-simplify]: Simplify (* 1 1) into 1 4.171 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 4.171 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.172 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.172 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 4.173 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.173 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 4.174 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.174 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 4.175 * [backup-simplify]: Simplify (- 0) into 0 4.175 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.176 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 4.177 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.177 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.177 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.178 * [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)))) 4.178 * [backup-simplify]: Simplify (fma (/ 1 (pow (/ 1 (- N)) 2)) (- (/ 0.3333333333333333 (/ 1 (- N))) 0.5) (/ 1.0 (/ 1 (- N)))) into (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) 4.178 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in (N) around 0 4.178 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 4.179 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 4.179 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 4.179 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.179 * [taylor]: Taking taylor expansion of N in N 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.179 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 4.179 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 4.179 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 4.179 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.179 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.179 * [taylor]: Taking taylor expansion of N in N 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.179 * [taylor]: Taking taylor expansion of 0.5 in N 4.179 * [backup-simplify]: Simplify 0.5 into 0.5 4.179 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 4.179 * [taylor]: Taking taylor expansion of -1.0 in N 4.179 * [backup-simplify]: Simplify -1.0 into -1.0 4.179 * [taylor]: Taking taylor expansion of N in N 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.179 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 4.179 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 4.179 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 4.179 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.179 * [taylor]: Taking taylor expansion of N in N 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.179 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 4.179 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 4.179 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 4.179 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.179 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.179 * [taylor]: Taking taylor expansion of N in N 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.179 * [taylor]: Taking taylor expansion of 0.5 in N 4.179 * [backup-simplify]: Simplify 0.5 into 0.5 4.179 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 4.179 * [taylor]: Taking taylor expansion of -1.0 in N 4.179 * [backup-simplify]: Simplify -1.0 into -1.0 4.179 * [taylor]: Taking taylor expansion of N in N 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.180 * [backup-simplify]: Simplify (* -1.0 0) into 0 4.180 * [backup-simplify]: Simplify (+ 0 0) into 0 4.180 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 4.182 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.182 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.182 * [backup-simplify]: Simplify (* 1 1) into 1 4.182 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 4.183 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.183 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.183 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 4.184 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.184 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 4.185 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.185 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 4.186 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 4.186 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.187 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.188 * [backup-simplify]: Simplify (+ (* 1 (- 0.3333333333333333)) (* 0 (- 0.5))) into (- 0.3333333333333333) 4.189 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.189 * [backup-simplify]: Simplify (+ (- 0.3333333333333333) 0) into (- 0.3333333333333333) 4.189 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.191 * [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)))) 4.191 * * * [progress]: simplifying candidates 4.192 * [simplify]: Simplifying: (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (expm1 (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (log1p (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (log (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (exp (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (* (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (+ (* 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)))) 4.193 * * [simplify]: Extracting # 0 : cost 0 4.193 * * [simplify]: Extracting # 1 : cost 0 4.194 * * [simplify]: Extracting # 2 : cost 0 4.194 * * [simplify]: Extracting # 3 : cost 0 4.194 * * [simplify]: Extracting # 4 : cost 0 4.194 * * [simplify]: Extracting # 5 : cost 0 4.194 * * [simplify]: Extracting # 6 : cost 0 4.194 * * [simplify]: Extracting # 7 : cost 0 4.194 * * [simplify]: Extracting # 8 : cost 0 4.195 * * [simplify]: Extracting # 9 : cost 0 4.195 * * [simplify]: iteration 0 : 114 enodes (cost 835 ) 4.251 * * [simplify]: Extracting # 0 : cost 0 4.252 * * [simplify]: Extracting # 1 : cost 0 4.252 * * [simplify]: Extracting # 2 : cost 0 4.253 * * [simplify]: Extracting # 3 : cost 0 4.253 * * [simplify]: Extracting # 4 : cost 0 4.253 * * [simplify]: iteration 1 : 207 enodes (cost 694 ) 4.364 * * [simplify]: Extracting # 0 : cost 0 4.365 * * [simplify]: Extracting # 1 : cost 0 4.365 * * [simplify]: Extracting # 2 : cost 0 4.365 * * [simplify]: Extracting # 3 : cost 0 4.366 * * [simplify]: Extracting # 4 : cost 0 4.366 * * [simplify]: iteration 2 : 382 enodes (cost 564 ) 4.541 * * [simplify]: Extracting # 0 : cost 0 4.543 * * [simplify]: Extracting # 1 : cost 0 4.544 * * [simplify]: Extracting # 2 : cost 0 4.545 * * [simplify]: Extracting # 3 : cost 0 4.546 * * [simplify]: Extracting # 4 : cost 0 4.547 * * [simplify]: iteration 3 : 1150 enodes (cost 560 ) 5.472 * * [simplify]: Extracting # 0 : cost 0 5.479 * * [simplify]: Extracting # 1 : cost 0 5.486 * * [simplify]: Extracting # 2 : cost 0 5.495 * * [simplify]: Extracting # 3 : cost 0 5.506 * * [simplify]: Extracting # 4 : cost 0 5.516 * * [simplify]: iteration done: 5000 enodes (cost 556 ) 5.516 * [simplify]: Simplified to: (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) -2 (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (* (log N) -2) (exp (/ 1 (pow N 2))) (/ 1 (pow N 6)) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (/ 1 (pow N 6)) (fabs (/ 1 N)) (fabs (/ 1 N)) -1 (- (pow N 2)) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ (/ 1 (cbrt (pow N 2))) (cbrt (pow N 2))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ (/ 1 (cbrt (pow N 2))) (cbrt (pow N 2))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ (/ 1 (cbrt (pow N 2))) (cbrt (pow N 2))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ 1 (* N N)) (* N N) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ (/ 1 (cbrt (pow N 2))) (cbrt (pow N 2))) (/ 1 (fabs N)) 1 (/ 1 N) (* N N) (* N N) (* N N) (expm1 (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (log1p (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (log (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (exp (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (* (cbrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (cbrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))))) (cbrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (pow (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) 3) (sqrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (sqrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (* (/ 1 N) (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (* (/ 1 N) (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) (* (/ 1 N) (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N))) 5.517 * * * [progress]: adding candidates to table 5.681 * * [progress]: iteration 3 / 4 5.681 * * * [progress]: picking best candidate 5.682 * * * * [pick]: Picked # 5.682 * * * [progress]: localizing error 5.687 * * * [progress]: generating rewritten candidates 5.687 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.697 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 5.737 * * * [progress]: generating series expansions 5.737 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.738 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 5.738 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 5.738 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.738 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.738 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.738 * [taylor]: Taking taylor expansion of N in N 5.738 * [backup-simplify]: Simplify 0 into 0 5.738 * [backup-simplify]: Simplify 1 into 1 5.738 * [taylor]: Taking taylor expansion of 1.0 in N 5.738 * [backup-simplify]: Simplify 1.0 into 1.0 5.738 * [taylor]: Taking taylor expansion of N in N 5.738 * [backup-simplify]: Simplify 0 into 0 5.738 * [backup-simplify]: Simplify 1 into 1 5.739 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.740 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.740 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.740 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.740 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.740 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.740 * [taylor]: Taking taylor expansion of N in N 5.740 * [backup-simplify]: Simplify 0 into 0 5.740 * [backup-simplify]: Simplify 1 into 1 5.740 * [taylor]: Taking taylor expansion of 1.0 in N 5.740 * [backup-simplify]: Simplify 1.0 into 1.0 5.740 * [taylor]: Taking taylor expansion of N in N 5.740 * [backup-simplify]: Simplify 0 into 0 5.740 * [backup-simplify]: Simplify 1 into 1 5.741 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.742 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.742 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.743 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.744 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 5.744 * [backup-simplify]: Simplify (+ 1 0) into 1 5.745 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 5.751 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.751 * [backup-simplify]: Simplify 1.0 into 1.0 5.752 * [backup-simplify]: Simplify (+ 0 0) into 0 5.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.764 * [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)) 5.765 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 5.768 * [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))) 5.769 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 5.769 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 5.769 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.769 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.769 * [taylor]: Taking taylor expansion of N in N 5.769 * [backup-simplify]: Simplify 0 into 0 5.769 * [backup-simplify]: Simplify 1 into 1 5.769 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.769 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.769 * [taylor]: Taking taylor expansion of N in N 5.769 * [backup-simplify]: Simplify 0 into 0 5.769 * [backup-simplify]: Simplify 1 into 1 5.769 * [backup-simplify]: Simplify (/ 1 1) into 1 5.769 * [taylor]: Taking taylor expansion of 1.0 in N 5.769 * [backup-simplify]: Simplify 1.0 into 1.0 5.770 * [backup-simplify]: Simplify (+ 1 0) into 1 5.770 * [backup-simplify]: Simplify (* 0 1) into 0 5.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.772 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.773 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.773 * [backup-simplify]: Simplify (log 1) into 0 5.773 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.773 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.773 * [taylor]: Taking taylor expansion of N in N 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify 1 into 1 5.773 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.773 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.773 * [taylor]: Taking taylor expansion of N in N 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify 1 into 1 5.774 * [backup-simplify]: Simplify (/ 1 1) into 1 5.774 * [taylor]: Taking taylor expansion of 1.0 in N 5.774 * [backup-simplify]: Simplify 1.0 into 1.0 5.774 * [backup-simplify]: Simplify (+ 1 0) into 1 5.775 * [backup-simplify]: Simplify (* 0 1) into 0 5.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.776 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.777 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.777 * [backup-simplify]: Simplify (log 1) into 0 5.778 * [backup-simplify]: Simplify 0 into 0 5.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.779 * [backup-simplify]: Simplify (+ 0 0) into 0 5.782 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.789 * [backup-simplify]: Simplify 1.0 into 1.0 5.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.790 * [backup-simplify]: Simplify (+ 0 0) into 0 5.791 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 5.804 * [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 5.804 * [backup-simplify]: Simplify -0.5 into -0.5 5.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.806 * [backup-simplify]: Simplify (+ 0 0) into 0 5.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 5.819 * [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 5.819 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.819 * [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)))) 5.819 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 5.819 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 5.819 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.819 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.819 * [taylor]: Taking taylor expansion of -1 in N 5.819 * [backup-simplify]: Simplify -1 into -1 5.819 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.820 * [taylor]: Taking taylor expansion of N in N 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify 1 into 1 5.820 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.820 * [taylor]: Taking taylor expansion of 1.0 in N 5.820 * [backup-simplify]: Simplify 1.0 into 1.0 5.820 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.820 * [taylor]: Taking taylor expansion of N in N 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify 1 into 1 5.820 * [backup-simplify]: Simplify (/ 1 1) into 1 5.820 * [backup-simplify]: Simplify (- 1) into -1 5.821 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.821 * [backup-simplify]: Simplify (* 0 -1) into 0 5.821 * [backup-simplify]: Simplify (* -1 0) into 0 5.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.822 * [backup-simplify]: Simplify (- 0) into 0 5.822 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.823 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.826 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.827 * [backup-simplify]: Simplify (log 1) into 0 5.827 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.827 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.827 * [taylor]: Taking taylor expansion of -1 in N 5.827 * [backup-simplify]: Simplify -1 into -1 5.827 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.827 * [taylor]: Taking taylor expansion of N in N 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify 1 into 1 5.827 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.827 * [taylor]: Taking taylor expansion of 1.0 in N 5.827 * [backup-simplify]: Simplify 1.0 into 1.0 5.827 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.827 * [taylor]: Taking taylor expansion of N in N 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify 1 into 1 5.827 * [backup-simplify]: Simplify (/ 1 1) into 1 5.828 * [backup-simplify]: Simplify (- 1) into -1 5.828 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.828 * [backup-simplify]: Simplify (* 0 -1) into 0 5.829 * [backup-simplify]: Simplify (* -1 0) into 0 5.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.829 * [backup-simplify]: Simplify (- 0) into 0 5.830 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.830 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.830 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.831 * [backup-simplify]: Simplify (log 1) into 0 5.831 * [backup-simplify]: Simplify 0 into 0 5.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.832 * [backup-simplify]: Simplify (- 0) into 0 5.832 * [backup-simplify]: Simplify (+ 0 0) into 0 5.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.835 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 5.839 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 5.840 * [backup-simplify]: Simplify -1.0 into -1.0 5.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.840 * [backup-simplify]: Simplify (- 0) into 0 5.841 * [backup-simplify]: Simplify (+ 0 0) into 0 5.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 5.842 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 5.850 * [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 5.850 * [backup-simplify]: Simplify -0.5 into -0.5 5.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.851 * [backup-simplify]: Simplify (- 0) into 0 5.851 * [backup-simplify]: Simplify (+ 0 0) into 0 5.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 5.853 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 5.865 * [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 5.865 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.866 * [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)))) 5.866 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 5.866 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 5.866 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 5.866 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.866 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.866 * [taylor]: Taking taylor expansion of N in N 5.866 * [backup-simplify]: Simplify 0 into 0 5.866 * [backup-simplify]: Simplify 1 into 1 5.866 * [taylor]: Taking taylor expansion of 1.0 in N 5.866 * [backup-simplify]: Simplify 1.0 into 1.0 5.866 * [taylor]: Taking taylor expansion of N in N 5.866 * [backup-simplify]: Simplify 0 into 0 5.866 * [backup-simplify]: Simplify 1 into 1 5.866 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.867 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.867 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.867 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.867 * [taylor]: Taking taylor expansion of N in N 5.867 * [backup-simplify]: Simplify 0 into 0 5.867 * [backup-simplify]: Simplify 1 into 1 5.867 * [taylor]: Taking taylor expansion of 1.0 in N 5.867 * [backup-simplify]: Simplify 1.0 into 1.0 5.867 * [taylor]: Taking taylor expansion of N in N 5.867 * [backup-simplify]: Simplify 0 into 0 5.867 * [backup-simplify]: Simplify 1 into 1 5.867 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.868 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.868 * [backup-simplify]: Simplify 1.0 into 1.0 5.868 * [backup-simplify]: Simplify (+ 1 0) into 1 5.869 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 5.869 * [backup-simplify]: Simplify 1 into 1 5.869 * [backup-simplify]: Simplify (+ 0 0) into 0 5.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.870 * [backup-simplify]: Simplify 0 into 0 5.871 * [backup-simplify]: Simplify (+ 0 0) into 0 5.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.872 * [backup-simplify]: Simplify 0 into 0 5.872 * [backup-simplify]: Simplify (+ 0 0) into 0 5.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.874 * [backup-simplify]: Simplify 0 into 0 5.874 * [backup-simplify]: Simplify (+ 0 0) into 0 5.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.875 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify (+ 0 0) into 0 5.877 * [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 5.877 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify (+ 0 0) into 0 5.879 * [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 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 5.879 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 5.879 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 5.879 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.879 * [taylor]: Taking taylor expansion of N in N 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify 1 into 1 5.879 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.879 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.879 * [taylor]: Taking taylor expansion of N in N 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify 1 into 1 5.880 * [backup-simplify]: Simplify (/ 1 1) into 1 5.880 * [taylor]: Taking taylor expansion of 1.0 in N 5.880 * [backup-simplify]: Simplify 1.0 into 1.0 5.880 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.880 * [taylor]: Taking taylor expansion of N in N 5.880 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify 1 into 1 5.880 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.880 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.880 * [taylor]: Taking taylor expansion of N in N 5.880 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify 1 into 1 5.881 * [backup-simplify]: Simplify (/ 1 1) into 1 5.881 * [taylor]: Taking taylor expansion of 1.0 in N 5.881 * [backup-simplify]: Simplify 1.0 into 1.0 5.881 * [backup-simplify]: Simplify (+ 1 0) into 1 5.882 * [backup-simplify]: Simplify (* 0 1) into 0 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.883 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.884 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.884 * [backup-simplify]: Simplify 1 into 1 5.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.885 * [backup-simplify]: Simplify (+ 0 0) into 0 5.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.888 * [backup-simplify]: Simplify 1.0 into 1.0 5.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.889 * [backup-simplify]: Simplify (+ 0 0) into 0 5.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 5.891 * [backup-simplify]: Simplify 0 into 0 5.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.892 * [backup-simplify]: Simplify (+ 0 0) into 0 5.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 5.894 * [backup-simplify]: Simplify 0 into 0 5.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.896 * [backup-simplify]: Simplify (+ 0 0) into 0 5.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 5.898 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.899 * [backup-simplify]: Simplify (+ 0 0) into 0 5.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 5.901 * [backup-simplify]: Simplify 0 into 0 5.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.903 * [backup-simplify]: Simplify (+ 0 0) into 0 5.905 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 5.905 * [backup-simplify]: Simplify 0 into 0 5.907 * [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 5.907 * [backup-simplify]: Simplify (+ 0 0) into 0 5.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 5.910 * [backup-simplify]: Simplify 0 into 0 5.910 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 5.910 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 5.910 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 5.910 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.910 * [taylor]: Taking taylor expansion of -1 in N 5.910 * [backup-simplify]: Simplify -1 into -1 5.910 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.910 * [taylor]: Taking taylor expansion of N in N 5.910 * [backup-simplify]: Simplify 0 into 0 5.910 * [backup-simplify]: Simplify 1 into 1 5.910 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.910 * [taylor]: Taking taylor expansion of 1.0 in N 5.910 * [backup-simplify]: Simplify 1.0 into 1.0 5.910 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.910 * [taylor]: Taking taylor expansion of N in N 5.910 * [backup-simplify]: Simplify 0 into 0 5.910 * [backup-simplify]: Simplify 1 into 1 5.911 * [backup-simplify]: Simplify (/ 1 1) into 1 5.911 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.911 * [taylor]: Taking taylor expansion of -1 in N 5.911 * [backup-simplify]: Simplify -1 into -1 5.911 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.911 * [taylor]: Taking taylor expansion of N in N 5.911 * [backup-simplify]: Simplify 0 into 0 5.911 * [backup-simplify]: Simplify 1 into 1 5.911 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.911 * [taylor]: Taking taylor expansion of 1.0 in N 5.911 * [backup-simplify]: Simplify 1.0 into 1.0 5.911 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.911 * [taylor]: Taking taylor expansion of N in N 5.911 * [backup-simplify]: Simplify 0 into 0 5.911 * [backup-simplify]: Simplify 1 into 1 5.912 * [backup-simplify]: Simplify (/ 1 1) into 1 5.912 * [backup-simplify]: Simplify (- 1) into -1 5.913 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.913 * [backup-simplify]: Simplify (* 0 -1) into 0 5.914 * [backup-simplify]: Simplify (* -1 0) into 0 5.914 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.915 * [backup-simplify]: Simplify (- 0) into 0 5.916 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.917 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.917 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.917 * [backup-simplify]: Simplify 1 into 1 5.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.919 * [backup-simplify]: Simplify (- 0) into 0 5.919 * [backup-simplify]: Simplify (+ 0 0) into 0 5.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.924 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 5.925 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.926 * [backup-simplify]: Simplify (- 0) into 0 5.927 * [backup-simplify]: Simplify (+ 0 0) into 0 5.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 5.930 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 5.930 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.931 * [backup-simplify]: Simplify (- 0) into 0 5.931 * [backup-simplify]: Simplify (+ 0 0) into 0 5.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 5.935 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 5.935 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.936 * [backup-simplify]: Simplify (- 0) into 0 5.936 * [backup-simplify]: Simplify (+ 0 0) into 0 5.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 5.940 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 5.940 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.941 * [backup-simplify]: Simplify (- 0) into 0 5.942 * [backup-simplify]: Simplify (+ 0 0) into 0 5.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 5.946 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 5.946 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.948 * [backup-simplify]: Simplify (- 0) into 0 5.948 * [backup-simplify]: Simplify (+ 0 0) into 0 5.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 5.957 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 5.957 * [backup-simplify]: Simplify 0 into 0 5.959 * [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 5.959 * [backup-simplify]: Simplify (- 0) into 0 5.960 * [backup-simplify]: Simplify (+ 0 0) into 0 5.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 5.964 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 5.966 * * * [progress]: simplifying candidates 5.968 * [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)) (- (+ (* 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) 5.971 * * [simplify]: Extracting # 0 : cost 0 5.971 * * [simplify]: Extracting # 1 : cost 0 5.971 * * [simplify]: Extracting # 2 : cost 0 5.971 * * [simplify]: Extracting # 3 : cost 0 5.972 * * [simplify]: Extracting # 4 : cost 0 5.972 * * [simplify]: Extracting # 5 : cost 0 5.972 * * [simplify]: Extracting # 6 : cost 0 5.973 * * [simplify]: Extracting # 7 : cost 0 5.973 * * [simplify]: Extracting # 8 : cost 0 5.973 * * [simplify]: Extracting # 9 : cost 0 5.973 * * [simplify]: iteration 0 : 112 enodes (cost 749 ) 6.025 * * [simplify]: Extracting # 0 : cost 0 6.026 * * [simplify]: Extracting # 1 : cost 0 6.027 * * [simplify]: Extracting # 2 : cost 0 6.027 * * [simplify]: Extracting # 3 : cost 0 6.028 * * [simplify]: Extracting # 4 : cost 0 6.029 * * [simplify]: iteration 1 : 242 enodes (cost 708 ) 6.131 * * [simplify]: Extracting # 0 : cost 0 6.132 * * [simplify]: Extracting # 1 : cost 0 6.134 * * [simplify]: Extracting # 2 : cost 0 6.135 * * [simplify]: Extracting # 3 : cost 0 6.137 * * [simplify]: Extracting # 4 : cost 0 6.138 * * [simplify]: iteration 2 : 620 enodes (cost 660 ) 6.539 * * [simplify]: Extracting # 0 : cost 0 6.543 * * [simplify]: Extracting # 1 : cost 0 6.546 * * [simplify]: Extracting # 2 : cost 0 6.549 * * [simplify]: Extracting # 3 : cost 0 6.552 * * [simplify]: Extracting # 4 : cost 0 6.554 * * [simplify]: iteration 3 : 1531 enodes (cost 647 ) 8.695 * * [simplify]: Extracting # 0 : cost 0 8.706 * * [simplify]: Extracting # 1 : cost 0 8.714 * * [simplify]: Extracting # 2 : cost 0 8.721 * * [simplify]: Extracting # 3 : cost 0 8.729 * * [simplify]: Extracting # 4 : cost 0 8.737 * * [simplify]: iteration 4 : 4287 enodes (cost 643 ) 10.054 * * [simplify]: Extracting # 0 : cost 0 10.069 * * [simplify]: Extracting # 1 : cost 0 10.077 * * [simplify]: Extracting # 2 : cost 0 10.081 * * [simplify]: Extracting # 3 : cost 0 10.086 * * [simplify]: iteration done: 5000 enodes (cost 612 ) 10.087 * [simplify]: Simplified to: (expm1 (log1p (/ 1.0 N))) (log1p (log1p (/ 1.0 N))) (* 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)) (fma -2 (log (cbrt N)) (log (sqrt (+ N 1.0)))) (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 (log1p (/ 1.0 N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log1p (/ 1.0 N)) 0 (log1p (/ 1.0 N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log 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))) (pow (log1p (/ 1.0 N)) 3) (sqrt (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (log1p (/ 1.0 N)) (log1p (/ 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 (+ (/ 1.0 N) 1) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (+ (/ 1.0 N) 1) (/ 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)) (* N (fma N N (* 1.0 (- 1.0 N)))) (* N (- N 1.0)) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (fma (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 10.087 * * * [progress]: adding candidates to table 10.310 * [progress]: [Phase 3 of 3] Extracting. 10.310 * * [regime]: Finding splitpoints for: (# #) 10.311 * * * [regime-changes]: Trying 1 branch expressions: (N) 10.311 * * * * [regimes]: Trying to branch on N from (# #) 10.343 * * * [regime]: Found split indices: #