25.052 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.061 * * * [progress]: [2/2] Setting up program. 0.064 * [progress]: [Phase 2 of 3] Improving. 0.064 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.064 * * [simplify]: Extracting # 0 : cost 0 0.064 * * [simplify]: Extracting # 1 : cost 0 0.064 * * [simplify]: Extracting # 2 : cost 0 0.064 * * [simplify]: Extracting # 3 : cost 0 0.064 * * [simplify]: Extracting # 4 : cost 0 0.065 * * [simplify]: Extracting # 5 : cost 0 0.065 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.066 * * [simplify]: Extracting # 0 : cost 0 0.066 * * [simplify]: Extracting # 1 : cost 0 0.066 * * [simplify]: Extracting # 2 : cost 0 0.066 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.069 * * [simplify]: Extracting # 0 : cost 0 0.069 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.071 * * [simplify]: Extracting # 0 : cost 0 0.071 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.071 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.072 * * [progress]: iteration 1 / 4 0.072 * * * [progress]: picking best candidate 0.076 * * * * [pick]: Picked # 0.076 * * * [progress]: localizing error 0.090 * * * [progress]: generating rewritten candidates 0.090 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.098 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.117 * * * [progress]: generating series expansions 0.117 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.117 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.117 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.117 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.117 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.117 * [taylor]: Taking taylor expansion of N in N 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [taylor]: Taking taylor expansion of 1.0 in N 0.118 * [backup-simplify]: Simplify 1.0 into 1.0 0.118 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.119 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.119 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.119 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.119 * [taylor]: Taking taylor expansion of N in N 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [taylor]: Taking taylor expansion of 1.0 in N 0.119 * [backup-simplify]: Simplify 1.0 into 1.0 0.119 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.119 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.120 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.120 * [backup-simplify]: Simplify (+ 1 0) into 1 0.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.123 * [backup-simplify]: Simplify 1.0 into 1.0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [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)) 0.147 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.148 * [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)))) 0.148 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.148 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.148 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of N in N 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of 1.0 in N 0.149 * [backup-simplify]: Simplify 1.0 into 1.0 0.149 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [backup-simplify]: Simplify (log 1) into 0 0.150 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.150 * [taylor]: Taking taylor expansion of N in N 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [taylor]: Taking taylor expansion of 1.0 in N 0.150 * [backup-simplify]: Simplify 1.0 into 1.0 0.150 * [backup-simplify]: Simplify (+ 1 0) into 1 0.151 * [backup-simplify]: Simplify (log 1) into 0 0.151 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.151 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.155 * [backup-simplify]: Simplify 1.0 into 1.0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [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 0.162 * [backup-simplify]: Simplify -0.5 into -0.5 0.163 * [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)))) 0.163 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.163 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.163 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.163 * [taylor]: Taking taylor expansion of 1.0 in N 0.163 * [backup-simplify]: Simplify 1.0 into 1.0 0.163 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 1) into 1 0.163 * [backup-simplify]: Simplify (- 1) into -1 0.164 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.164 * [backup-simplify]: Simplify (log -1) into (log -1) 0.164 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.164 * [taylor]: Taking taylor expansion of 1.0 in N 0.164 * [backup-simplify]: Simplify 1.0 into 1.0 0.164 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 1) into 1 0.164 * [backup-simplify]: Simplify (- 1) into -1 0.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.165 * [backup-simplify]: Simplify (log -1) into (log -1) 0.166 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.166 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.175 * [backup-simplify]: Simplify -1.0 into -1.0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [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 0.188 * [backup-simplify]: Simplify -0.5 into -0.5 0.189 * [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)))) 0.189 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.189 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.189 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.189 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.189 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.189 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [backup-simplify]: Simplify 1.0 into 1.0 0.190 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.190 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.190 * [taylor]: Taking taylor expansion of (log N) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (log 1) into 0 0.190 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.190 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.190 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of 1.0 in N 0.191 * [backup-simplify]: Simplify 1.0 into 1.0 0.191 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.191 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.191 * [taylor]: Taking taylor expansion of (log N) in N 0.191 * [taylor]: Taking taylor expansion of N in N 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (log 1) into 0 0.192 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.192 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.193 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.193 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.194 * [backup-simplify]: Simplify (+ 1 0) into 1 0.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.203 * [backup-simplify]: Simplify 1.0 into 1.0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [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)) 0.215 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.218 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.220 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.224 * [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))) 0.224 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.224 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.224 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.224 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.225 * [taylor]: Taking taylor expansion of N in N 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of 1.0 in N 0.225 * [backup-simplify]: Simplify 1.0 into 1.0 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.226 * [backup-simplify]: Simplify (log 1) into 0 0.226 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [backup-simplify]: Simplify (log 1) into 0 0.227 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.227 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.227 * [taylor]: Taking taylor expansion of N in N 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [taylor]: Taking taylor expansion of 1.0 in N 0.228 * [backup-simplify]: Simplify 1.0 into 1.0 0.229 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify (log 1) into 0 0.230 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [backup-simplify]: Simplify (log 1) into 0 0.232 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.232 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.232 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.233 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.243 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.243 * [backup-simplify]: Simplify 1.0 into 1.0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [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 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.253 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [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 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [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 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.277 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.277 * [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)))) 0.278 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.278 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.278 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.278 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.278 * [taylor]: Taking taylor expansion of 1.0 in N 0.278 * [backup-simplify]: Simplify 1.0 into 1.0 0.278 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.278 * [taylor]: Taking taylor expansion of N in N 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify (- 1) into -1 0.279 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.279 * [backup-simplify]: Simplify (log -1) into (log -1) 0.279 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.279 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.279 * [taylor]: Taking taylor expansion of -1 in N 0.279 * [backup-simplify]: Simplify -1 into -1 0.279 * [taylor]: Taking taylor expansion of N in N 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ -1 1) into -1 0.280 * [backup-simplify]: Simplify (log -1) into (log -1) 0.280 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.280 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.280 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.280 * [taylor]: Taking taylor expansion of 1.0 in N 0.280 * [backup-simplify]: Simplify 1.0 into 1.0 0.280 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.280 * [taylor]: Taking taylor expansion of N in N 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [backup-simplify]: Simplify (- 1) into -1 0.281 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.281 * [backup-simplify]: Simplify (log -1) into (log -1) 0.281 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.281 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.281 * [taylor]: Taking taylor expansion of -1 in N 0.281 * [backup-simplify]: Simplify -1 into -1 0.281 * [taylor]: Taking taylor expansion of N in N 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (/ -1 1) into -1 0.282 * [backup-simplify]: Simplify (log -1) into (log -1) 0.282 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.283 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.283 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.284 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.297 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [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 0.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.315 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [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 0.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.344 * [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 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.346 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.347 * [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)))) 0.348 * * * [progress]: simplifying candidates 0.350 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 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)))) (- (+ (* 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)))) 0.352 * * [simplify]: Extracting # 0 : cost 0 0.352 * * [simplify]: Extracting # 1 : cost 0 0.352 * * [simplify]: Extracting # 2 : cost 0 0.352 * * [simplify]: Extracting # 3 : cost 0 0.352 * * [simplify]: Extracting # 4 : cost 0 0.353 * * [simplify]: Extracting # 5 : cost 0 0.353 * * [simplify]: Extracting # 6 : cost 0 0.353 * * [simplify]: Extracting # 7 : cost 0 0.353 * * [simplify]: Extracting # 8 : cost 0 0.353 * * [simplify]: Extracting # 9 : cost 0 0.354 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.396 * * [simplify]: Extracting # 0 : cost 0 0.397 * * [simplify]: Extracting # 1 : cost 0 0.397 * * [simplify]: Extracting # 2 : cost 0 0.397 * * [simplify]: Extracting # 3 : cost 0 0.398 * * [simplify]: Extracting # 4 : cost 0 0.398 * * [simplify]: iteration 1 : 277 enodes (cost 855 ) 0.546 * * [simplify]: Extracting # 0 : cost 0 0.547 * * [simplify]: Extracting # 1 : cost 0 0.547 * * [simplify]: Extracting # 2 : cost 0 0.548 * * [simplify]: Extracting # 3 : cost 0 0.549 * * [simplify]: Extracting # 4 : cost 0 0.549 * * [simplify]: iteration 2 : 668 enodes (cost 705 ) 1.067 * * [simplify]: Extracting # 0 : cost 0 1.072 * * [simplify]: Extracting # 1 : cost 0 1.076 * * [simplify]: Extracting # 2 : cost 0 1.086 * * [simplify]: Extracting # 3 : cost 0 1.090 * * [simplify]: iteration 3 : 2055 enodes (cost 614 ) 3.973 * * [simplify]: Extracting # 0 : cost 0 3.980 * * [simplify]: Extracting # 1 : cost 0 3.984 * * [simplify]: Extracting # 2 : cost 0 3.989 * * [simplify]: Extracting # 3 : cost 0 3.993 * * [simplify]: Extracting # 4 : cost 0 3.997 * * [simplify]: iteration done: 5000 enodes (cost 592 ) 3.998 * [simplify]: Simplified to: (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))) (- (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)) (log (+ N 1.0)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log N) (log (+ N 1.0))) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (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 (fma N N (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (fma -1/2 (/ (pow N 2) (pow 1.0 2)) (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)) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) 3.998 * * * [progress]: adding candidates to table 4.182 * * [progress]: iteration 2 / 4 4.182 * * * [progress]: picking best candidate 4.196 * * * * [pick]: Picked # 4.196 * * * [progress]: localizing error 4.207 * * * [progress]: generating rewritten candidates 4.207 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.219 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.260 * * * [progress]: generating series expansions 4.260 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.260 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 4.260 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 4.260 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.260 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.260 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.260 * [taylor]: Taking taylor expansion of N in N 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [taylor]: Taking taylor expansion of 1.0 in N 4.261 * [backup-simplify]: Simplify 1.0 into 1.0 4.261 * [taylor]: Taking taylor expansion of N in N 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.262 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.262 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.263 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.263 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.263 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.263 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.263 * [taylor]: Taking taylor expansion of N in N 4.263 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify 1 into 1 4.263 * [taylor]: Taking taylor expansion of 1.0 in N 4.263 * [backup-simplify]: Simplify 1.0 into 1.0 4.263 * [taylor]: Taking taylor expansion of N in N 4.263 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify 1 into 1 4.264 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.264 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.265 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.266 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 4.267 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 4.267 * [backup-simplify]: Simplify (+ 1 0) into 1 4.269 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 4.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.275 * [backup-simplify]: Simplify 1.0 into 1.0 4.275 * [backup-simplify]: Simplify (+ 0 0) into 0 4.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 4.287 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 4.289 * [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))) 4.289 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 4.289 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 4.289 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.289 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.289 * [taylor]: Taking taylor expansion of N in N 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.289 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.289 * [taylor]: Taking taylor expansion of N in N 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.290 * [backup-simplify]: Simplify (/ 1 1) into 1 4.290 * [taylor]: Taking taylor expansion of 1.0 in N 4.290 * [backup-simplify]: Simplify 1.0 into 1.0 4.290 * [backup-simplify]: Simplify (+ 1 0) into 1 4.291 * [backup-simplify]: Simplify (* 0 1) into 0 4.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.292 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.293 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.293 * [backup-simplify]: Simplify (log 1) into 0 4.293 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.293 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.293 * [taylor]: Taking taylor expansion of N in N 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 1 into 1 4.293 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.293 * [taylor]: Taking taylor expansion of N in N 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 1 into 1 4.294 * [backup-simplify]: Simplify (/ 1 1) into 1 4.294 * [taylor]: Taking taylor expansion of 1.0 in N 4.294 * [backup-simplify]: Simplify 1.0 into 1.0 4.294 * [backup-simplify]: Simplify (+ 1 0) into 1 4.294 * [backup-simplify]: Simplify (* 0 1) into 0 4.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.296 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.296 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.297 * [backup-simplify]: Simplify (log 1) into 0 4.297 * [backup-simplify]: Simplify 0 into 0 4.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.298 * [backup-simplify]: Simplify (+ 0 0) into 0 4.301 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.304 * [backup-simplify]: Simplify 1.0 into 1.0 4.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.310 * [backup-simplify]: Simplify (+ 0 0) into 0 4.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 4.317 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 4.317 * [backup-simplify]: Simplify -0.5 into -0.5 4.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.318 * [backup-simplify]: Simplify (+ 0 0) into 0 4.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 4.328 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 4.328 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.328 * [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)))) 4.329 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 4.329 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 4.329 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.329 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.329 * [taylor]: Taking taylor expansion of -1 in N 4.329 * [backup-simplify]: Simplify -1 into -1 4.329 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.329 * [taylor]: Taking taylor expansion of N in N 4.329 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify 1 into 1 4.329 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.329 * [taylor]: Taking taylor expansion of 1.0 in N 4.329 * [backup-simplify]: Simplify 1.0 into 1.0 4.329 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.329 * [taylor]: Taking taylor expansion of N in N 4.329 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify 1 into 1 4.329 * [backup-simplify]: Simplify (/ 1 1) into 1 4.329 * [backup-simplify]: Simplify (- 1) into -1 4.329 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.330 * [backup-simplify]: Simplify (* 0 -1) into 0 4.330 * [backup-simplify]: Simplify (* -1 0) into 0 4.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.331 * [backup-simplify]: Simplify (- 0) into 0 4.331 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.331 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.332 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.332 * [backup-simplify]: Simplify (log 1) into 0 4.332 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.332 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.332 * [taylor]: Taking taylor expansion of -1 in N 4.332 * [backup-simplify]: Simplify -1 into -1 4.332 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.332 * [taylor]: Taking taylor expansion of N in N 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify 1 into 1 4.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.332 * [taylor]: Taking taylor expansion of 1.0 in N 4.332 * [backup-simplify]: Simplify 1.0 into 1.0 4.332 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.332 * [taylor]: Taking taylor expansion of N in N 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify 1 into 1 4.332 * [backup-simplify]: Simplify (/ 1 1) into 1 4.333 * [backup-simplify]: Simplify (- 1) into -1 4.333 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.333 * [backup-simplify]: Simplify (* 0 -1) into 0 4.334 * [backup-simplify]: Simplify (* -1 0) into 0 4.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.335 * [backup-simplify]: Simplify (- 0) into 0 4.335 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.336 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.337 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.337 * [backup-simplify]: Simplify (log 1) into 0 4.337 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.338 * [backup-simplify]: Simplify (- 0) into 0 4.339 * [backup-simplify]: Simplify (+ 0 0) into 0 4.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.343 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.348 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 4.348 * [backup-simplify]: Simplify -1.0 into -1.0 4.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (- 0) into 0 4.349 * [backup-simplify]: Simplify (+ 0 0) into 0 4.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.351 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 4.357 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 4.357 * [backup-simplify]: Simplify -0.5 into -0.5 4.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.358 * [backup-simplify]: Simplify (- 0) into 0 4.359 * [backup-simplify]: Simplify (+ 0 0) into 0 4.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 4.360 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 4.370 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 4.370 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.371 * [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)))) 4.371 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.371 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 4.371 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 4.371 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.371 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.371 * [taylor]: Taking taylor expansion of N in N 4.371 * [backup-simplify]: Simplify 0 into 0 4.371 * [backup-simplify]: Simplify 1 into 1 4.371 * [taylor]: Taking taylor expansion of 1.0 in N 4.371 * [backup-simplify]: Simplify 1.0 into 1.0 4.371 * [taylor]: Taking taylor expansion of N in N 4.371 * [backup-simplify]: Simplify 0 into 0 4.371 * [backup-simplify]: Simplify 1 into 1 4.371 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.372 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.372 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.372 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.372 * [taylor]: Taking taylor expansion of N in N 4.372 * [backup-simplify]: Simplify 0 into 0 4.372 * [backup-simplify]: Simplify 1 into 1 4.372 * [taylor]: Taking taylor expansion of 1.0 in N 4.372 * [backup-simplify]: Simplify 1.0 into 1.0 4.372 * [taylor]: Taking taylor expansion of N in N 4.372 * [backup-simplify]: Simplify 0 into 0 4.372 * [backup-simplify]: Simplify 1 into 1 4.372 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.372 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.372 * [backup-simplify]: Simplify 1.0 into 1.0 4.373 * [backup-simplify]: Simplify (+ 1 0) into 1 4.373 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 4.373 * [backup-simplify]: Simplify 1 into 1 4.373 * [backup-simplify]: Simplify (+ 0 0) into 0 4.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.374 * [backup-simplify]: Simplify 0 into 0 4.374 * [backup-simplify]: Simplify (+ 0 0) into 0 4.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify (+ 0 0) into 0 4.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.376 * [backup-simplify]: Simplify 0 into 0 4.376 * [backup-simplify]: Simplify (+ 0 0) into 0 4.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.377 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify (+ 0 0) into 0 4.378 * [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 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify (+ 0 0) into 0 4.379 * [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 4.379 * [backup-simplify]: Simplify 0 into 0 4.380 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 4.380 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 4.380 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 4.380 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.380 * [taylor]: Taking taylor expansion of N in N 4.380 * [backup-simplify]: Simplify 0 into 0 4.380 * [backup-simplify]: Simplify 1 into 1 4.380 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.380 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.380 * [taylor]: Taking taylor expansion of N in N 4.380 * [backup-simplify]: Simplify 0 into 0 4.380 * [backup-simplify]: Simplify 1 into 1 4.380 * [backup-simplify]: Simplify (/ 1 1) into 1 4.380 * [taylor]: Taking taylor expansion of 1.0 in N 4.380 * [backup-simplify]: Simplify 1.0 into 1.0 4.380 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.380 * [taylor]: Taking taylor expansion of N in N 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify 1 into 1 4.381 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.381 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.381 * [taylor]: Taking taylor expansion of N in N 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify 1 into 1 4.381 * [backup-simplify]: Simplify (/ 1 1) into 1 4.381 * [taylor]: Taking taylor expansion of 1.0 in N 4.381 * [backup-simplify]: Simplify 1.0 into 1.0 4.382 * [backup-simplify]: Simplify (+ 1 0) into 1 4.382 * [backup-simplify]: Simplify (* 0 1) into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.383 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.384 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.384 * [backup-simplify]: Simplify 1 into 1 4.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.385 * [backup-simplify]: Simplify (+ 0 0) into 0 4.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.388 * [backup-simplify]: Simplify 1.0 into 1.0 4.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.389 * [backup-simplify]: Simplify (+ 0 0) into 0 4.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 4.390 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.390 * [backup-simplify]: Simplify (+ 0 0) into 0 4.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 4.391 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.392 * [backup-simplify]: Simplify (+ 0 0) into 0 4.393 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.394 * [backup-simplify]: Simplify (+ 0 0) into 0 4.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.395 * [backup-simplify]: Simplify (+ 0 0) into 0 4.396 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 4.396 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.397 * [backup-simplify]: Simplify (+ 0 0) into 0 4.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 4.404 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 4.404 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 4.404 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.404 * [taylor]: Taking taylor expansion of -1 in N 4.404 * [backup-simplify]: Simplify -1 into -1 4.404 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.404 * [taylor]: Taking taylor expansion of N in N 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 1 into 1 4.404 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.404 * [taylor]: Taking taylor expansion of 1.0 in N 4.404 * [backup-simplify]: Simplify 1.0 into 1.0 4.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.404 * [taylor]: Taking taylor expansion of N in N 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 1 into 1 4.405 * [backup-simplify]: Simplify (/ 1 1) into 1 4.405 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.405 * [taylor]: Taking taylor expansion of -1 in N 4.405 * [backup-simplify]: Simplify -1 into -1 4.405 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.405 * [taylor]: Taking taylor expansion of N in N 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 1 into 1 4.405 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.405 * [taylor]: Taking taylor expansion of 1.0 in N 4.405 * [backup-simplify]: Simplify 1.0 into 1.0 4.405 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.405 * [taylor]: Taking taylor expansion of N in N 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 1 into 1 4.405 * [backup-simplify]: Simplify (/ 1 1) into 1 4.406 * [backup-simplify]: Simplify (- 1) into -1 4.406 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.406 * [backup-simplify]: Simplify (* 0 -1) into 0 4.406 * [backup-simplify]: Simplify (* -1 0) into 0 4.406 * [backup-simplify]: Simplify 0 into 0 4.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.407 * [backup-simplify]: Simplify (- 0) into 0 4.407 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.408 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.408 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.408 * [backup-simplify]: Simplify 1 into 1 4.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.409 * [backup-simplify]: Simplify (- 0) into 0 4.409 * [backup-simplify]: Simplify (+ 0 0) into 0 4.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.412 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.412 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.413 * [backup-simplify]: Simplify (- 0) into 0 4.413 * [backup-simplify]: Simplify (+ 0 0) into 0 4.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.414 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 4.414 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.415 * [backup-simplify]: Simplify (- 0) into 0 4.415 * [backup-simplify]: Simplify (+ 0 0) into 0 4.416 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 4.417 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 4.417 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.418 * [backup-simplify]: Simplify (- 0) into 0 4.418 * [backup-simplify]: Simplify (+ 0 0) into 0 4.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 4.420 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.420 * [backup-simplify]: Simplify (- 0) into 0 4.421 * [backup-simplify]: Simplify (+ 0 0) into 0 4.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 4.424 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 4.424 * [backup-simplify]: Simplify 0 into 0 4.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.425 * [backup-simplify]: Simplify (- 0) into 0 4.426 * [backup-simplify]: Simplify (+ 0 0) into 0 4.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 4.430 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 4.430 * [backup-simplify]: Simplify 0 into 0 4.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.431 * [backup-simplify]: Simplify (- 0) into 0 4.431 * [backup-simplify]: Simplify (+ 0 0) into 0 4.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 4.435 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 4.435 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 4.435 * * * [progress]: simplifying candidates 4.436 * [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) 4.437 * * [simplify]: Extracting # 0 : cost 0 4.437 * * [simplify]: Extracting # 1 : cost 0 4.438 * * [simplify]: Extracting # 2 : cost 0 4.438 * * [simplify]: Extracting # 3 : cost 0 4.438 * * [simplify]: Extracting # 4 : cost 0 4.438 * * [simplify]: Extracting # 5 : cost 0 4.438 * * [simplify]: Extracting # 6 : cost 0 4.438 * * [simplify]: Extracting # 7 : cost 0 4.438 * * [simplify]: Extracting # 8 : cost 0 4.438 * * [simplify]: Extracting # 9 : cost 0 4.439 * * [simplify]: iteration 0 : 112 enodes (cost 749 ) 4.466 * * [simplify]: Extracting # 0 : cost 0 4.467 * * [simplify]: Extracting # 1 : cost 0 4.467 * * [simplify]: Extracting # 2 : cost 0 4.468 * * [simplify]: Extracting # 3 : cost 0 4.468 * * [simplify]: Extracting # 4 : cost 0 4.469 * * [simplify]: iteration 1 : 242 enodes (cost 708 ) 4.575 * * [simplify]: Extracting # 0 : cost 0 4.576 * * [simplify]: Extracting # 1 : cost 0 4.577 * * [simplify]: Extracting # 2 : cost 0 4.579 * * [simplify]: Extracting # 3 : cost 0 4.585 * * [simplify]: Extracting # 4 : cost 0 4.587 * * [simplify]: iteration 2 : 620 enodes (cost 660 ) 4.965 * * [simplify]: Extracting # 0 : cost 0 4.968 * * [simplify]: Extracting # 1 : cost 0 4.971 * * [simplify]: Extracting # 2 : cost 0 4.974 * * [simplify]: Extracting # 3 : cost 0 4.977 * * [simplify]: Extracting # 4 : cost 0 4.980 * * [simplify]: iteration 3 : 1531 enodes (cost 647 ) 7.333 * * [simplify]: Extracting # 0 : cost 0 7.343 * * [simplify]: Extracting # 1 : cost 0 7.350 * * [simplify]: Extracting # 2 : cost 0 7.358 * * [simplify]: Extracting # 3 : cost 0 7.370 * * [simplify]: Extracting # 4 : cost 0 7.377 * * [simplify]: iteration 4 : 4287 enodes (cost 643 ) 8.636 * * [simplify]: Extracting # 0 : cost 0 8.641 * * [simplify]: Extracting # 1 : cost 0 8.645 * * [simplify]: Extracting # 2 : cost 0 8.649 * * [simplify]: Extracting # 3 : cost 0 8.654 * * [simplify]: iteration done: 5000 enodes (cost 612 ) 8.655 * [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) 8.655 * * * [progress]: adding candidates to table 8.885 * * [progress]: iteration 3 / 4 8.885 * * * [progress]: picking best candidate 8.886 * * * * [pick]: Picked # 8.886 * * * [progress]: localizing error 8.892 * * * [progress]: generating rewritten candidates 8.892 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 8.893 * * * [progress]: generating series expansions 8.893 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 8.893 * [backup-simplify]: Simplify (log1p (/ 1.0 N)) into (log1p (/ 1.0 N)) 8.893 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 N)) in (N) around 0 8.893 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 8.893 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 8.893 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 8.893 * [taylor]: Taking taylor expansion of 1 in N 8.893 * [backup-simplify]: Simplify 1 into 1 8.893 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 8.893 * [taylor]: Taking taylor expansion of 1.0 in N 8.893 * [backup-simplify]: Simplify 1.0 into 1.0 8.893 * [taylor]: Taking taylor expansion of N in N 8.893 * [backup-simplify]: Simplify 0 into 0 8.893 * [backup-simplify]: Simplify 1 into 1 8.894 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.894 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.894 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.894 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 8.894 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 8.894 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 8.894 * [taylor]: Taking taylor expansion of 1 in N 8.894 * [backup-simplify]: Simplify 1 into 1 8.895 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 8.895 * [taylor]: Taking taylor expansion of 1.0 in N 8.895 * [backup-simplify]: Simplify 1.0 into 1.0 8.895 * [taylor]: Taking taylor expansion of N in N 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 1 into 1 8.895 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.895 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.895 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.896 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.896 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 8.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 8.897 * [backup-simplify]: Simplify (+ 1 0) into 1 8.901 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 8.901 * [backup-simplify]: Simplify 1.0 into 1.0 8.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.901 * [backup-simplify]: Simplify (+ 0 0) into 0 8.907 * [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)) 8.908 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 8.909 * [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))) 8.909 * [backup-simplify]: Simplify (log1p (/ 1.0 (/ 1 N))) into (log1p (* 1.0 N)) 8.909 * [approximate]: Taking taylor expansion of (log1p (* 1.0 N)) in (N) around 0 8.909 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 8.909 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 8.909 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 8.909 * [taylor]: Taking taylor expansion of 1 in N 8.909 * [backup-simplify]: Simplify 1 into 1 8.909 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.909 * [taylor]: Taking taylor expansion of 1.0 in N 8.909 * [backup-simplify]: Simplify 1.0 into 1.0 8.909 * [taylor]: Taking taylor expansion of N in N 8.909 * [backup-simplify]: Simplify 0 into 0 8.910 * [backup-simplify]: Simplify 1 into 1 8.910 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.910 * [backup-simplify]: Simplify (+ 1 0) into 1 8.910 * [backup-simplify]: Simplify (log 1) into 0 8.910 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 8.910 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 8.910 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 8.910 * [taylor]: Taking taylor expansion of 1 in N 8.910 * [backup-simplify]: Simplify 1 into 1 8.910 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.910 * [taylor]: Taking taylor expansion of 1.0 in N 8.910 * [backup-simplify]: Simplify 1.0 into 1.0 8.910 * [taylor]: Taking taylor expansion of N in N 8.910 * [backup-simplify]: Simplify 0 into 0 8.911 * [backup-simplify]: Simplify 1 into 1 8.911 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.911 * [backup-simplify]: Simplify (+ 1 0) into 1 8.911 * [backup-simplify]: Simplify (log 1) into 0 8.911 * [backup-simplify]: Simplify 0 into 0 8.912 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.912 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.916 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.916 * [backup-simplify]: Simplify 1.0 into 1.0 8.917 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.917 * [backup-simplify]: Simplify (+ 0 0) into 0 8.924 * [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 8.924 * [backup-simplify]: Simplify -0.5 into -0.5 8.926 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.926 * [backup-simplify]: Simplify (+ 0 0) into 0 8.944 * [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 8.944 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.945 * [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)))) 8.945 * [backup-simplify]: Simplify (log1p (/ 1.0 (/ 1 (- N)))) into (log1p (* -1.0 N)) 8.945 * [approximate]: Taking taylor expansion of (log1p (* -1.0 N)) in (N) around 0 8.945 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 8.945 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 8.945 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 8.945 * [taylor]: Taking taylor expansion of 1 in N 8.945 * [backup-simplify]: Simplify 1 into 1 8.945 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 8.945 * [taylor]: Taking taylor expansion of -1.0 in N 8.945 * [backup-simplify]: Simplify -1.0 into -1.0 8.945 * [taylor]: Taking taylor expansion of N in N 8.945 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify 1 into 1 8.945 * [backup-simplify]: Simplify (* -1.0 0) into 0 8.946 * [backup-simplify]: Simplify (+ 1 0) into 1 8.946 * [backup-simplify]: Simplify (log 1) into 0 8.946 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 8.946 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 8.946 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 8.946 * [taylor]: Taking taylor expansion of 1 in N 8.946 * [backup-simplify]: Simplify 1 into 1 8.946 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 8.946 * [taylor]: Taking taylor expansion of -1.0 in N 8.946 * [backup-simplify]: Simplify -1.0 into -1.0 8.946 * [taylor]: Taking taylor expansion of N in N 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify 1 into 1 8.946 * [backup-simplify]: Simplify (* -1.0 0) into 0 8.947 * [backup-simplify]: Simplify (+ 1 0) into 1 8.947 * [backup-simplify]: Simplify (log 1) into 0 8.947 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 8.948 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 8.953 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 8.953 * [backup-simplify]: Simplify -1.0 into -1.0 8.954 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.954 * [backup-simplify]: Simplify (+ 0 0) into 0 8.961 * [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 8.961 * [backup-simplify]: Simplify -0.5 into -0.5 8.962 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.962 * [backup-simplify]: Simplify (+ 0 0) into 0 8.979 * [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 8.979 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 8.980 * [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)))) 8.980 * * * [progress]: simplifying candidates 8.980 * [simplify]: Simplifying: (+ 1 (/ 1.0 N)) (expm1 (log1p (/ 1.0 N))) (log1p (log1p (/ 1.0 N))) (log (log1p (/ 1.0 N))) (exp (log1p (/ 1.0 N))) (* (cbrt (log1p (/ 1.0 N))) (cbrt (log1p (/ 1.0 N)))) (cbrt (log1p (/ 1.0 N))) (* (* (log1p (/ 1.0 N)) (log1p (/ 1.0 N))) (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (- (+ (* 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)))) 8.981 * * [simplify]: Extracting # 0 : cost 0 8.981 * * [simplify]: Extracting # 1 : cost 0 8.981 * * [simplify]: Extracting # 2 : cost 0 8.981 * * [simplify]: Extracting # 3 : cost 0 8.981 * * [simplify]: Extracting # 4 : cost 0 8.981 * * [simplify]: Extracting # 5 : cost 0 8.981 * * [simplify]: Extracting # 6 : cost 0 8.981 * * [simplify]: Extracting # 7 : cost 0 8.981 * * [simplify]: Extracting # 8 : cost 0 8.982 * * [simplify]: Extracting # 9 : cost 0 8.982 * * [simplify]: iteration 0 : 39 enodes (cost 126 ) 9.005 * * [simplify]: Extracting # 0 : cost 0 9.006 * * [simplify]: Extracting # 1 : cost 0 9.006 * * [simplify]: Extracting # 2 : cost 0 9.006 * * [simplify]: Extracting # 3 : cost 0 9.006 * * [simplify]: Extracting # 4 : cost 0 9.006 * * [simplify]: iteration 1 : 85 enodes (cost 120 ) 9.033 * * [simplify]: Extracting # 0 : cost 0 9.034 * * [simplify]: Extracting # 1 : cost 0 9.034 * * [simplify]: Extracting # 2 : cost 0 9.034 * * [simplify]: Extracting # 3 : cost 0 9.034 * * [simplify]: Extracting # 4 : cost 0 9.034 * * [simplify]: iteration 2 : 196 enodes (cost 102 ) 9.103 * * [simplify]: Extracting # 0 : cost 0 9.104 * * [simplify]: Extracting # 1 : cost 0 9.105 * * [simplify]: Extracting # 2 : cost 0 9.105 * * [simplify]: Extracting # 3 : cost 0 9.106 * * [simplify]: Extracting # 4 : cost 0 9.107 * * [simplify]: iteration 3 : 430 enodes (cost 102 ) 9.406 * * [simplify]: Extracting # 0 : cost 0 9.408 * * [simplify]: Extracting # 1 : cost 0 9.410 * * [simplify]: Extracting # 2 : cost 0 9.412 * * [simplify]: Extracting # 3 : cost 0 9.414 * * [simplify]: iteration 4 : 991 enodes (cost 100 ) 10.374 * * [simplify]: Extracting # 0 : cost 0 10.380 * * [simplify]: Extracting # 1 : cost 0 10.384 * * [simplify]: Extracting # 2 : cost 0 10.387 * * [simplify]: Extracting # 3 : cost 0 10.391 * * [simplify]: Extracting # 4 : cost 0 10.395 * * [simplify]: iteration 5 : 2352 enodes (cost 98 ) 12.881 * * [simplify]: Extracting # 0 : cost 0 12.895 * * [simplify]: Extracting # 1 : cost 0 12.901 * * [simplify]: Extracting # 2 : cost 0 12.904 * * [simplify]: Extracting # 3 : cost 0 12.908 * * [simplify]: Extracting # 4 : cost 0 12.912 * * [simplify]: iteration done: 5000 enodes (cost 92 ) 12.913 * [simplify]: Simplified to: (+ 1 (/ 1.0 N)) (/ 1.0 N) (log1p (log1p (/ 1.0 N))) (log (log1p (/ 1.0 N))) (exp (log1p (/ 1.0 N))) (* (cbrt (log1p (/ 1.0 N))) (cbrt (log1p (/ 1.0 N)))) (cbrt (log1p (/ 1.0 N))) (pow (log1p (/ 1.0 N)) 3) (sqrt (log1p (/ 1.0 N))) (sqrt (log1p (/ 1.0 N))) (fma N (fma -1/2 (/ N (pow 1.0 2)) 1.0) (- (log 1.0) (log N))) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) (/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N) 12.913 * * * [progress]: adding candidates to table 12.968 * [progress]: [Phase 3 of 3] Extracting. 12.970 * [simplify]: Simplifying: (+ 0 (log1p (/ 1.0 N))) 12.970 * * [simplify]: Extracting # 0 : cost 0 12.970 * * [simplify]: Extracting # 1 : cost 0 12.970 * * [simplify]: Extracting # 2 : cost 0 12.970 * * [simplify]: Extracting # 3 : cost 0 12.970 * * [simplify]: Extracting # 4 : cost 0 12.970 * * [simplify]: Extracting # 5 : cost 0 12.970 * * [simplify]: iteration 0 : 6 enodes (cost 6 ) 12.970 * * [simplify]: Extracting # 0 : cost 0 12.970 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 12.971 * * [simplify]: Extracting # 0 : cost 0 12.971 * * [simplify]: iteration done: 7 enodes (cost 4 ) 12.971 * [simplify]: Simplified to: (log1p (/ 1.0 N)) 15.887 * [regime-testing]: Baseline error score: 0.007125890736342043 15.889 * [regime-testing]: Oracle error score: 0.007125890736342043 15.889 * [regime-testing]: End program error score: 0.007125890736342043