18.259 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.086 * * * [progress]: [2/2] Setting up program. 0.088 * [progress]: [Phase 2 of 3] Improving. 0.089 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.089 * * [simplify]: Extracting # 0 : cost 0 0.089 * * [simplify]: Extracting # 1 : cost 0 0.089 * * [simplify]: Extracting # 2 : cost 0 0.089 * * [simplify]: Extracting # 3 : cost 0 0.089 * * [simplify]: Extracting # 4 : cost 0 0.089 * * [simplify]: Extracting # 5 : cost 0 0.089 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.090 * * [simplify]: Extracting # 0 : cost 0 0.090 * * [simplify]: Extracting # 1 : cost 0 0.090 * * [simplify]: Extracting # 2 : cost 0 0.090 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.091 * * [simplify]: Extracting # 0 : cost 0 0.091 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.092 * * [simplify]: Extracting # 0 : cost 0 0.092 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.092 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.092 * * [progress]: iteration 1 / 4 0.092 * * * [progress]: picking best candidate 0.094 * * * * [pick]: Picked # 0.094 * * * [progress]: localizing error 0.102 * * * [progress]: generating rewritten candidates 0.102 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.117 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.127 * * * [progress]: generating series expansions 0.127 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.127 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.127 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.127 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.127 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.127 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [taylor]: Taking taylor expansion of 1.0 in N 0.127 * [backup-simplify]: Simplify 1.0 into 1.0 0.128 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.129 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.129 * [taylor]: Taking taylor expansion of (log N) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (log 1) into 0 0.129 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.129 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.130 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.130 * [taylor]: Taking taylor expansion of N in N 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [taylor]: Taking taylor expansion of 1.0 in N 0.130 * [backup-simplify]: Simplify 1.0 into 1.0 0.130 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.131 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.131 * [taylor]: Taking taylor expansion of (log N) in N 0.131 * [taylor]: Taking taylor expansion of N in N 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (log 1) into 0 0.132 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.132 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.132 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.133 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.134 * [backup-simplify]: Simplify (+ 1 0) into 1 0.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.141 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.142 * [backup-simplify]: Simplify 1.0 into 1.0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [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)) 0.151 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.155 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.157 * [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))) 0.157 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.157 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.157 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.157 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.157 * [taylor]: Taking taylor expansion of N in N 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [taylor]: Taking taylor expansion of 1.0 in N 0.158 * [backup-simplify]: Simplify 1.0 into 1.0 0.158 * [backup-simplify]: Simplify (+ 1 0) into 1 0.158 * [backup-simplify]: Simplify (log 1) into 0 0.158 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.158 * [taylor]: Taking taylor expansion of N in N 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify (log 1) into 0 0.159 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.159 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.159 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [taylor]: Taking taylor expansion of 1.0 in N 0.159 * [backup-simplify]: Simplify 1.0 into 1.0 0.159 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [backup-simplify]: Simplify (log 1) into 0 0.160 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.160 * [taylor]: Taking taylor expansion of N in N 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [backup-simplify]: Simplify (log 1) into 0 0.161 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.161 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.161 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.161 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.167 * [backup-simplify]: Simplify 1.0 into 1.0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [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 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.198 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [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 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [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 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.223 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.224 * [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)))) 0.225 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.225 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.225 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.225 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.225 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.225 * [taylor]: Taking taylor expansion of 1.0 in N 0.225 * [backup-simplify]: Simplify 1.0 into 1.0 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 0.226 * [backup-simplify]: Simplify (- 1) into -1 0.226 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.226 * [backup-simplify]: Simplify (log -1) into (log -1) 0.227 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.227 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.227 * [taylor]: Taking taylor expansion of -1 in N 0.227 * [backup-simplify]: Simplify -1 into -1 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 0.227 * [backup-simplify]: Simplify (/ -1 1) into -1 0.227 * [backup-simplify]: Simplify (log -1) into (log -1) 0.228 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.228 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.228 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.228 * [taylor]: Taking taylor expansion of 1.0 in N 0.228 * [backup-simplify]: Simplify 1.0 into 1.0 0.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.228 * [taylor]: Taking taylor expansion of N in N 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [backup-simplify]: Simplify (- 1) into -1 0.229 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.229 * [backup-simplify]: Simplify (log -1) into (log -1) 0.229 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.229 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.229 * [taylor]: Taking taylor expansion of -1 in N 0.229 * [backup-simplify]: Simplify -1 into -1 0.229 * [taylor]: Taking taylor expansion of N in N 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (/ -1 1) into -1 0.230 * [backup-simplify]: Simplify (log -1) into (log -1) 0.231 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.232 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.232 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.233 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) 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) into 0 0.235 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.244 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [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 0.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [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) 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [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 0.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [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 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.291 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.292 * [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)))) 0.293 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.293 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.293 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.293 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.293 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.293 * [taylor]: Taking taylor expansion of N in N 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [taylor]: Taking taylor expansion of 1.0 in N 0.293 * [backup-simplify]: Simplify 1.0 into 1.0 0.293 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.294 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.294 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.294 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.294 * [taylor]: Taking taylor expansion of N in N 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of 1.0 in N 0.294 * [backup-simplify]: Simplify 1.0 into 1.0 0.295 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.295 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.295 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.296 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.301 * [backup-simplify]: Simplify 1.0 into 1.0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [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)) 0.313 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.315 * [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)))) 0.315 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.315 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.315 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 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 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [taylor]: Taking taylor expansion of 1.0 in N 0.316 * [backup-simplify]: Simplify 1.0 into 1.0 0.316 * [backup-simplify]: Simplify (+ 1 0) into 1 0.317 * [backup-simplify]: Simplify (log 1) into 0 0.317 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.317 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.317 * [taylor]: Taking taylor expansion of N in N 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (/ 1 1) into 1 0.317 * [taylor]: Taking taylor expansion of 1.0 in N 0.317 * [backup-simplify]: Simplify 1.0 into 1.0 0.318 * [backup-simplify]: Simplify (+ 1 0) into 1 0.318 * [backup-simplify]: Simplify (log 1) into 0 0.319 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.319 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.335 * [backup-simplify]: Simplify 1.0 into 1.0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [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 0.349 * [backup-simplify]: Simplify -0.5 into -0.5 0.350 * [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)))) 0.350 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.350 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.350 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.350 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.350 * [taylor]: Taking taylor expansion of 1.0 in N 0.350 * [backup-simplify]: Simplify 1.0 into 1.0 0.350 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.350 * [taylor]: Taking taylor expansion of N in N 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [backup-simplify]: Simplify (- 1) into -1 0.352 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.352 * [backup-simplify]: Simplify (log -1) into (log -1) 0.352 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.352 * [taylor]: Taking taylor expansion of 1.0 in N 0.352 * [backup-simplify]: Simplify 1.0 into 1.0 0.352 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.352 * [taylor]: Taking taylor expansion of N in N 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [backup-simplify]: Simplify (- 1) into -1 0.353 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.354 * [backup-simplify]: Simplify (log -1) into (log -1) 0.355 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.355 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.360 * [backup-simplify]: Simplify -1.0 into -1.0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [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 0.368 * [backup-simplify]: Simplify -0.5 into -0.5 0.369 * [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)))) 0.369 * * * [progress]: simplifying candidates 0.370 * [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)))) 0.372 * * [simplify]: Extracting # 0 : cost 0 0.372 * * [simplify]: Extracting # 1 : cost 0 0.372 * * [simplify]: Extracting # 2 : cost 0 0.372 * * [simplify]: Extracting # 3 : cost 0 0.373 * * [simplify]: Extracting # 4 : cost 0 0.373 * * [simplify]: Extracting # 5 : cost 0 0.373 * * [simplify]: Extracting # 6 : cost 0 0.373 * * [simplify]: Extracting # 7 : cost 0 0.373 * * [simplify]: Extracting # 8 : cost 0 0.373 * * [simplify]: Extracting # 9 : cost 0 0.374 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.416 * * [simplify]: Extracting # 0 : cost 0 0.416 * * [simplify]: Extracting # 1 : cost 0 0.417 * * [simplify]: Extracting # 2 : cost 0 0.417 * * [simplify]: Extracting # 3 : cost 0 0.418 * * [simplify]: Extracting # 4 : cost 0 0.419 * * [simplify]: iteration 1 : 277 enodes (cost 855 ) 0.577 * * [simplify]: Extracting # 0 : cost 0 0.578 * * [simplify]: Extracting # 1 : cost 0 0.579 * * [simplify]: Extracting # 2 : cost 0 0.580 * * [simplify]: Extracting # 3 : cost 0 0.580 * * [simplify]: Extracting # 4 : cost 0 0.581 * * [simplify]: iteration 2 : 666 enodes (cost 705 ) 1.050 * * [simplify]: Extracting # 0 : cost 0 1.054 * * [simplify]: Extracting # 1 : cost 0 1.058 * * [simplify]: Extracting # 2 : cost 0 1.062 * * [simplify]: Extracting # 3 : cost 0 1.066 * * [simplify]: iteration 3 : 2050 enodes (cost 614 ) 4.161 * * [simplify]: Extracting # 0 : cost 0 4.167 * * [simplify]: Extracting # 1 : cost 0 4.172 * * [simplify]: Extracting # 2 : cost 0 4.176 * * [simplify]: Extracting # 3 : cost 0 4.180 * * [simplify]: Extracting # 4 : cost 0 4.188 * * [simplify]: iteration done: 5000 enodes (cost 592 ) 4.191 * [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)) 4.192 * * * [progress]: adding candidates to table 4.375 * * [progress]: iteration 2 / 4 4.375 * * * [progress]: picking best candidate 4.390 * * * * [pick]: Picked # 4.390 * * * [progress]: localizing error 4.400 * * * [progress]: generating rewritten candidates 4.400 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.413 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.455 * * * [progress]: generating series expansions 4.455 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.456 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 4.456 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 4.456 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.456 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.456 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.456 * [taylor]: Taking taylor expansion of N in N 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.456 * [taylor]: Taking taylor expansion of 1.0 in N 4.456 * [backup-simplify]: Simplify 1.0 into 1.0 4.456 * [taylor]: Taking taylor expansion of N in N 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.457 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.457 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.458 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.458 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.458 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.458 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.458 * [taylor]: Taking taylor expansion of N in N 4.458 * [backup-simplify]: Simplify 0 into 0 4.458 * [backup-simplify]: Simplify 1 into 1 4.458 * [taylor]: Taking taylor expansion of 1.0 in N 4.458 * [backup-simplify]: Simplify 1.0 into 1.0 4.458 * [taylor]: Taking taylor expansion of N in N 4.458 * [backup-simplify]: Simplify 0 into 0 4.458 * [backup-simplify]: Simplify 1 into 1 4.458 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.459 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.459 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.460 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 4.461 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 4.461 * [backup-simplify]: Simplify (+ 1 0) into 1 4.462 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 4.465 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.465 * [backup-simplify]: Simplify 1.0 into 1.0 4.465 * [backup-simplify]: Simplify (+ 0 0) into 0 4.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.472 * [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)) 4.472 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 4.474 * [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))) 4.474 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 4.474 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 4.474 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.474 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.474 * [taylor]: Taking taylor expansion of N in N 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.474 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.474 * [taylor]: Taking taylor expansion of N in N 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (/ 1 1) into 1 4.474 * [taylor]: Taking taylor expansion of 1.0 in N 4.474 * [backup-simplify]: Simplify 1.0 into 1.0 4.475 * [backup-simplify]: Simplify (+ 1 0) into 1 4.475 * [backup-simplify]: Simplify (* 0 1) into 0 4.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.475 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.476 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.476 * [backup-simplify]: Simplify (log 1) into 0 4.476 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.476 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.476 * [taylor]: Taking taylor expansion of N in N 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify 1 into 1 4.476 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.476 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.476 * [taylor]: Taking taylor expansion of N in N 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify 1 into 1 4.477 * [backup-simplify]: Simplify (/ 1 1) into 1 4.477 * [taylor]: Taking taylor expansion of 1.0 in N 4.477 * [backup-simplify]: Simplify 1.0 into 1.0 4.477 * [backup-simplify]: Simplify (+ 1 0) into 1 4.477 * [backup-simplify]: Simplify (* 0 1) into 0 4.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.478 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.478 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.478 * [backup-simplify]: Simplify (log 1) into 0 4.479 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.479 * [backup-simplify]: Simplify (+ 0 0) into 0 4.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.485 * [backup-simplify]: Simplify 1.0 into 1.0 4.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.486 * [backup-simplify]: Simplify (+ 0 0) into 0 4.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 4.496 * [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 4.496 * [backup-simplify]: Simplify -0.5 into -0.5 4.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.497 * [backup-simplify]: Simplify (+ 0 0) into 0 4.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 4.522 * [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 4.523 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.523 * [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)))) 4.523 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 4.523 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 4.523 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.523 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.523 * [taylor]: Taking taylor expansion of -1 in N 4.524 * [backup-simplify]: Simplify -1 into -1 4.524 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.524 * [taylor]: Taking taylor expansion of N in N 4.524 * [backup-simplify]: Simplify 0 into 0 4.524 * [backup-simplify]: Simplify 1 into 1 4.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.524 * [taylor]: Taking taylor expansion of 1.0 in N 4.524 * [backup-simplify]: Simplify 1.0 into 1.0 4.524 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.524 * [taylor]: Taking taylor expansion of N in N 4.524 * [backup-simplify]: Simplify 0 into 0 4.524 * [backup-simplify]: Simplify 1 into 1 4.524 * [backup-simplify]: Simplify (/ 1 1) into 1 4.525 * [backup-simplify]: Simplify (- 1) into -1 4.525 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.525 * [backup-simplify]: Simplify (* 0 -1) into 0 4.526 * [backup-simplify]: Simplify (* -1 0) into 0 4.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.527 * [backup-simplify]: Simplify (- 0) into 0 4.527 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.528 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.529 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.529 * [backup-simplify]: Simplify (log 1) into 0 4.529 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.529 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.529 * [taylor]: Taking taylor expansion of -1 in N 4.529 * [backup-simplify]: Simplify -1 into -1 4.529 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.529 * [taylor]: Taking taylor expansion of N in N 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify 1 into 1 4.529 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.529 * [taylor]: Taking taylor expansion of 1.0 in N 4.529 * [backup-simplify]: Simplify 1.0 into 1.0 4.529 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.529 * [taylor]: Taking taylor expansion of N in N 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify 1 into 1 4.530 * [backup-simplify]: Simplify (/ 1 1) into 1 4.530 * [backup-simplify]: Simplify (- 1) into -1 4.531 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.531 * [backup-simplify]: Simplify (* 0 -1) into 0 4.531 * [backup-simplify]: Simplify (* -1 0) into 0 4.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.532 * [backup-simplify]: Simplify (- 0) into 0 4.533 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.533 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.534 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.534 * [backup-simplify]: Simplify (log 1) into 0 4.535 * [backup-simplify]: Simplify 0 into 0 4.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.536 * [backup-simplify]: Simplify (- 0) into 0 4.536 * [backup-simplify]: Simplify (+ 0 0) into 0 4.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.540 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 4.547 * [backup-simplify]: Simplify -1.0 into -1.0 4.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.548 * [backup-simplify]: Simplify (- 0) into 0 4.548 * [backup-simplify]: Simplify (+ 0 0) into 0 4.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.551 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 4.562 * [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 4.562 * [backup-simplify]: Simplify -0.5 into -0.5 4.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.563 * [backup-simplify]: Simplify (- 0) into 0 4.564 * [backup-simplify]: Simplify (+ 0 0) into 0 4.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 4.566 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 4.586 * [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 4.586 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.587 * [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)))) 4.587 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.587 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 4.587 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 4.587 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.587 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.587 * [taylor]: Taking taylor expansion of N in N 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 1 into 1 4.587 * [taylor]: Taking taylor expansion of 1.0 in N 4.587 * [backup-simplify]: Simplify 1.0 into 1.0 4.587 * [taylor]: Taking taylor expansion of N in N 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 1 into 1 4.588 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.588 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.588 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.588 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.588 * [taylor]: Taking taylor expansion of N in N 4.588 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify 1 into 1 4.588 * [taylor]: Taking taylor expansion of 1.0 in N 4.588 * [backup-simplify]: Simplify 1.0 into 1.0 4.588 * [taylor]: Taking taylor expansion of N in N 4.588 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify 1 into 1 4.589 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.589 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.590 * [backup-simplify]: Simplify 1.0 into 1.0 4.590 * [backup-simplify]: Simplify (+ 1 0) into 1 4.591 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 4.591 * [backup-simplify]: Simplify 1 into 1 4.591 * [backup-simplify]: Simplify (+ 0 0) into 0 4.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.592 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify (+ 0 0) into 0 4.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify (+ 0 0) into 0 4.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.596 * [backup-simplify]: Simplify 0 into 0 4.596 * [backup-simplify]: Simplify (+ 0 0) into 0 4.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.597 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify (+ 0 0) into 0 4.599 * [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 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify (+ 0 0) into 0 4.600 * [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 4.600 * [backup-simplify]: Simplify 0 into 0 4.600 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 4.601 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 4.601 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 4.601 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.601 * [taylor]: Taking taylor expansion of N in N 4.601 * [backup-simplify]: Simplify 0 into 0 4.601 * [backup-simplify]: Simplify 1 into 1 4.601 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.601 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.601 * [taylor]: Taking taylor expansion of N in N 4.601 * [backup-simplify]: Simplify 0 into 0 4.601 * [backup-simplify]: Simplify 1 into 1 4.602 * [backup-simplify]: Simplify (/ 1 1) into 1 4.602 * [taylor]: Taking taylor expansion of 1.0 in N 4.602 * [backup-simplify]: Simplify 1.0 into 1.0 4.602 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.602 * [taylor]: Taking taylor expansion of N in N 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify 1 into 1 4.602 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.602 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.602 * [taylor]: Taking taylor expansion of N in N 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify 1 into 1 4.603 * [backup-simplify]: Simplify (/ 1 1) into 1 4.603 * [taylor]: Taking taylor expansion of 1.0 in N 4.603 * [backup-simplify]: Simplify 1.0 into 1.0 4.603 * [backup-simplify]: Simplify (+ 1 0) into 1 4.604 * [backup-simplify]: Simplify (* 0 1) into 0 4.604 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.605 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.606 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.606 * [backup-simplify]: Simplify 1 into 1 4.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.608 * [backup-simplify]: Simplify (+ 0 0) into 0 4.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.611 * [backup-simplify]: Simplify 1.0 into 1.0 4.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.612 * [backup-simplify]: Simplify (+ 0 0) into 0 4.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 4.613 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.615 * [backup-simplify]: Simplify (+ 0 0) into 0 4.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 4.616 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.618 * [backup-simplify]: Simplify (+ 0 0) into 0 4.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 4.620 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.621 * [backup-simplify]: Simplify (+ 0 0) into 0 4.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 4.623 * [backup-simplify]: Simplify 0 into 0 4.624 * [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 4.624 * [backup-simplify]: Simplify (+ 0 0) into 0 4.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 4.626 * [backup-simplify]: Simplify 0 into 0 4.627 * [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 4.627 * [backup-simplify]: Simplify (+ 0 0) into 0 4.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 4.630 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 4.630 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 4.630 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.630 * [taylor]: Taking taylor expansion of -1 in N 4.630 * [backup-simplify]: Simplify -1 into -1 4.630 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.630 * [taylor]: Taking taylor expansion of N in N 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify 1 into 1 4.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.630 * [taylor]: Taking taylor expansion of 1.0 in N 4.631 * [backup-simplify]: Simplify 1.0 into 1.0 4.631 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.631 * [taylor]: Taking taylor expansion of N in N 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify 1 into 1 4.631 * [backup-simplify]: Simplify (/ 1 1) into 1 4.631 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.631 * [taylor]: Taking taylor expansion of -1 in N 4.631 * [backup-simplify]: Simplify -1 into -1 4.631 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.631 * [taylor]: Taking taylor expansion of N in N 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify 1 into 1 4.631 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.631 * [taylor]: Taking taylor expansion of 1.0 in N 4.631 * [backup-simplify]: Simplify 1.0 into 1.0 4.631 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.631 * [taylor]: Taking taylor expansion of N in N 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 1 into 1 4.632 * [backup-simplify]: Simplify (/ 1 1) into 1 4.632 * [backup-simplify]: Simplify (- 1) into -1 4.633 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.633 * [backup-simplify]: Simplify (* 0 -1) into 0 4.634 * [backup-simplify]: Simplify (* -1 0) into 0 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.635 * [backup-simplify]: Simplify (- 0) into 0 4.635 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.636 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.637 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.637 * [backup-simplify]: Simplify 1 into 1 4.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.637 * [backup-simplify]: Simplify (- 0) into 0 4.638 * [backup-simplify]: Simplify (+ 0 0) into 0 4.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.640 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.640 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.641 * [backup-simplify]: Simplify (- 0) into 0 4.641 * [backup-simplify]: Simplify (+ 0 0) into 0 4.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.643 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.644 * [backup-simplify]: Simplify (- 0) into 0 4.644 * [backup-simplify]: Simplify (+ 0 0) into 0 4.645 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 4.651 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 4.651 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.652 * [backup-simplify]: Simplify (- 0) into 0 4.652 * [backup-simplify]: Simplify (+ 0 0) into 0 4.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 4.654 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.655 * [backup-simplify]: Simplify (- 0) into 0 4.655 * [backup-simplify]: Simplify (+ 0 0) into 0 4.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 4.657 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 4.657 * [backup-simplify]: Simplify 0 into 0 4.657 * [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 4.658 * [backup-simplify]: Simplify (- 0) into 0 4.658 * [backup-simplify]: Simplify (+ 0 0) into 0 4.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 4.660 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 4.660 * [backup-simplify]: Simplify 0 into 0 4.661 * [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 4.661 * [backup-simplify]: Simplify (- 0) into 0 4.661 * [backup-simplify]: Simplify (+ 0 0) into 0 4.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 4.663 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 4.663 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 4.664 * * * [progress]: simplifying candidates 4.665 * [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) 4.668 * * [simplify]: Extracting # 0 : cost 0 4.668 * * [simplify]: Extracting # 1 : cost 0 4.668 * * [simplify]: Extracting # 2 : cost 0 4.669 * * [simplify]: Extracting # 3 : cost 0 4.669 * * [simplify]: Extracting # 4 : cost 0 4.669 * * [simplify]: Extracting # 5 : cost 0 4.669 * * [simplify]: Extracting # 6 : cost 0 4.670 * * [simplify]: Extracting # 7 : cost 0 4.670 * * [simplify]: Extracting # 8 : cost 0 4.670 * * [simplify]: Extracting # 9 : cost 0 4.670 * * [simplify]: iteration 0 : 112 enodes (cost 749 ) 4.714 * * [simplify]: Extracting # 0 : cost 0 4.714 * * [simplify]: Extracting # 1 : cost 0 4.714 * * [simplify]: Extracting # 2 : cost 0 4.714 * * [simplify]: Extracting # 3 : cost 0 4.715 * * [simplify]: Extracting # 4 : cost 0 4.715 * * [simplify]: iteration 1 : 242 enodes (cost 708 ) 4.802 * * [simplify]: Extracting # 0 : cost 0 4.803 * * [simplify]: Extracting # 1 : cost 0 4.804 * * [simplify]: Extracting # 2 : cost 0 4.804 * * [simplify]: Extracting # 3 : cost 0 4.805 * * [simplify]: Extracting # 4 : cost 0 4.805 * * [simplify]: iteration 2 : 620 enodes (cost 660 ) 5.107 * * [simplify]: Extracting # 0 : cost 0 5.108 * * [simplify]: Extracting # 1 : cost 0 5.110 * * [simplify]: Extracting # 2 : cost 0 5.111 * * [simplify]: Extracting # 3 : cost 0 5.112 * * [simplify]: Extracting # 4 : cost 0 5.114 * * [simplify]: iteration 3 : 1531 enodes (cost 647 ) 7.285 * * [simplify]: Extracting # 0 : cost 0 7.295 * * [simplify]: Extracting # 1 : cost 0 7.302 * * [simplify]: Extracting # 2 : cost 0 7.310 * * [simplify]: Extracting # 3 : cost 0 7.317 * * [simplify]: Extracting # 4 : cost 0 7.329 * * [simplify]: iteration 4 : 4287 enodes (cost 643 ) 8.603 * * [simplify]: Extracting # 0 : cost 0 8.608 * * [simplify]: Extracting # 1 : cost 0 8.612 * * [simplify]: Extracting # 2 : cost 0 8.617 * * [simplify]: Extracting # 3 : cost 0 8.621 * * [simplify]: iteration done: 5000 enodes (cost 612 ) 8.622 * [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) 8.622 * * * [progress]: adding candidates to table 8.817 * * [progress]: iteration 3 / 4 8.817 * * * [progress]: picking best candidate 8.820 * * * * [pick]: Picked # 8.820 * * * [progress]: localizing error 8.837 * * * [progress]: generating rewritten candidates 8.837 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 8.838 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 8.839 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 8.845 * * * [progress]: generating series expansions 8.845 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 8.846 * [backup-simplify]: Simplify (expm1 (log1p (/ 1.0 N))) into (expm1 (log1p (/ 1.0 N))) 8.846 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1.0 N))) in (N) around 0 8.846 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 N))) in N 8.848 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 N))) 1) 8.848 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 N))) in N 8.848 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 8.848 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 8.848 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 8.848 * [taylor]: Taking taylor expansion of 1 in N 8.848 * [backup-simplify]: Simplify 1 into 1 8.848 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 8.848 * [taylor]: Taking taylor expansion of 1.0 in N 8.848 * [backup-simplify]: Simplify 1.0 into 1.0 8.848 * [taylor]: Taking taylor expansion of N in N 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [backup-simplify]: Simplify 1 into 1 8.849 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.849 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.850 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.850 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.851 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.852 * [backup-simplify]: Simplify (exp (- (log 1.0) (log N))) into (exp (- (log 1.0) (log N))) 8.852 * [taylor]: Taking taylor expansion of 1 in N 8.852 * [backup-simplify]: Simplify 1 into 1 8.852 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 N))) in N 8.852 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 N))) 1) 8.852 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 N))) in N 8.852 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 8.852 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 8.852 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 8.852 * [taylor]: Taking taylor expansion of 1 in N 8.852 * [backup-simplify]: Simplify 1 into 1 8.852 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 8.852 * [taylor]: Taking taylor expansion of 1.0 in N 8.852 * [backup-simplify]: Simplify 1.0 into 1.0 8.852 * [taylor]: Taking taylor expansion of N in N 8.852 * [backup-simplify]: Simplify 0 into 0 8.852 * [backup-simplify]: Simplify 1 into 1 8.853 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.853 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.854 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.855 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.856 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.857 * [backup-simplify]: Simplify (exp (- (log 1.0) (log N))) into (exp (- (log 1.0) (log N))) 8.857 * [taylor]: Taking taylor expansion of 1 in N 8.857 * [backup-simplify]: Simplify 1 into 1 8.857 * [backup-simplify]: Simplify (- 1) into -1 8.858 * [backup-simplify]: Simplify (+ (exp (- (log 1.0) (log N))) -1) into (- (exp (- (log 1.0) (log N))) 1) 8.858 * [backup-simplify]: Simplify (- (exp (- (log 1.0) (log N))) 1) into (- (exp (- (log 1.0) (log N))) 1) 8.859 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 8.863 * [backup-simplify]: Simplify (+ 1 0) into 1 8.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 8.871 * [backup-simplify]: Simplify (* (exp (- (log 1.0) (log N))) (+ (* (/ (pow 1.0 1) 1)))) into (* 1.0 (exp (- (log 1.0) (log N)))) 8.871 * [backup-simplify]: Simplify (- 0) into 0 8.872 * [backup-simplify]: Simplify (+ (* 1.0 (exp (- (log 1.0) (log N)))) 0) into (* 1.0 (exp (- (log 1.0) (log N)))) 8.872 * [backup-simplify]: Simplify (* 1.0 (exp (- (log 1.0) (log N)))) into (* 1.0 (exp (- (log 1.0) (log N)))) 8.873 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 8.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.875 * [backup-simplify]: Simplify (+ 0 0) into 0 8.884 * [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)) 8.892 * [backup-simplify]: Simplify (* (exp (- (log 1.0) (log N))) (+ (* (/ (pow 1.0 2) 2)) (* (/ (pow (/ -1/2 (pow 1.0 2)) 1) 1)))) into (* (exp (- (log 1.0) (log N))) (- 0.5 (* 1/2 (/ 1 (pow 1.0 2))))) 8.892 * [backup-simplify]: Simplify (- 0) into 0 8.895 * [backup-simplify]: Simplify (+ (* (exp (- (log 1.0) (log N))) (- 0.5 (* 1/2 (/ 1 (pow 1.0 2))))) 0) into (- (* 0.5 (exp (- (log 1.0) (log N)))) (* 1/2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) 8.897 * [backup-simplify]: Simplify (- (* 0.5 (exp (- (log 1.0) (log N)))) (* 1/2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) into (- (* 0.5 (exp (- (log 1.0) (log N)))) (* 1/2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) 8.900 * [backup-simplify]: Simplify (+ (* (- (* 0.5 (exp (- (log 1.0) (log N)))) (* 1/2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) (pow N 2)) (+ (* (* 1.0 (exp (- (log 1.0) (log N)))) N) (- (exp (- (log 1.0) (log N))) 1))) into (- (+ (* 1.0 (* N (exp (- (log 1.0) (log N))))) (+ (* 0.5 (* (pow N 2) (exp (- (log 1.0) (log N))))) (exp (- (log 1.0) (log N))))) (+ 1 (* 1/2 (/ (* (pow N 2) (exp (- (log 1.0) (log N)))) (pow 1.0 2))))) 8.900 * [backup-simplify]: Simplify (expm1 (log1p (/ 1.0 (/ 1 N)))) into (expm1 (log1p (* 1.0 N))) 8.900 * [approximate]: Taking taylor expansion of (expm1 (log1p (* 1.0 N))) in (N) around 0 8.900 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 N))) in N 8.900 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 N))) 1) 8.900 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 N))) in N 8.900 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 8.900 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 8.900 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 8.900 * [taylor]: Taking taylor expansion of 1 in N 8.900 * [backup-simplify]: Simplify 1 into 1 8.900 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.900 * [taylor]: Taking taylor expansion of 1.0 in N 8.900 * [backup-simplify]: Simplify 1.0 into 1.0 8.901 * [taylor]: Taking taylor expansion of N in N 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify 1 into 1 8.901 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.901 * [backup-simplify]: Simplify (+ 1 0) into 1 8.902 * [backup-simplify]: Simplify (log 1) into 0 8.903 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.903 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.910 * [backup-simplify]: Simplify (exp 0) into 1 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 (expm1 (log1p (* 1.0 N))) in N 8.910 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 N))) 1) 8.910 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 N))) in N 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 8.910 * [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 8.913 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.913 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 8.919 * [backup-simplify]: Simplify (exp 0) into 1 8.919 * [taylor]: Taking taylor expansion of 1 in N 8.919 * [backup-simplify]: Simplify 1 into 1 8.919 * [backup-simplify]: Simplify (- 1) into -1 8.920 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.920 * [backup-simplify]: Simplify 0 into 0 8.923 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1.0 1) 1)))) into 1.0 8.924 * [backup-simplify]: Simplify (- 0) into 0 8.924 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.924 * [backup-simplify]: Simplify 1.0 into 1.0 8.925 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.926 * [backup-simplify]: Simplify (+ 0 0) into 0 8.936 * [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 8.943 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1.0 2) 2)) (* (/ (pow -0.5 1) 1)))) into 0 8.943 * [backup-simplify]: Simplify (- 0) into 0 8.943 * [backup-simplify]: Simplify (+ 0 0) into 0 8.944 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.945 * [backup-simplify]: Simplify (+ 0 0) into 0 8.963 * [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 8.971 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1.0 3) 6)) (* (/ (pow 1.0 1) 1) (/ (pow -0.5 1) 1)) (* (/ (pow 0.3333333333333333 1) 1)))) into -5.551115123125783e-17 8.971 * [backup-simplify]: Simplify (- 0) into 0 8.971 * [backup-simplify]: Simplify (+ -5.551115123125783e-17 0) into (- 5.551115123125783e-17) 8.972 * [backup-simplify]: Simplify (- 5.551115123125783e-17) into (- 5.551115123125783e-17) 8.973 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.973 * [backup-simplify]: Simplify (+ 0 0) into 0 8.998 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1.0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1.0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1.0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -0.25 9.019 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1.0 4) 24)) (* (/ (pow 1.0 2) 2) (/ (pow -0.5 1) 1)) (* (/ (pow 1.0 1) 1) (/ (pow 0.3333333333333333 1) 1)) (* (/ (pow -0.5 2) 2)) (* (/ (pow -0.25 1) 1)))) into -2.7755575615628914e-17 9.019 * [backup-simplify]: Simplify (- 0) into 0 9.020 * [backup-simplify]: Simplify (+ -2.7755575615628914e-17 0) into (- 2.7755575615628914e-17) 9.020 * [backup-simplify]: Simplify (- 2.7755575615628914e-17) into (- 2.7755575615628914e-17) 9.021 * [backup-simplify]: Simplify (+ (* (- 2.7755575615628914e-17) (pow (/ 1 N) 4)) (+ (* (- 5.551115123125783e-17) (pow (/ 1 N) 3)) (* 1.0 (/ 1 N)))) into (- (* 1.0 (/ 1 N)) (+ (* 5.551115123125783e-17 (/ 1 (pow N 3))) (* 2.7755575615628914e-17 (/ 1 (pow N 4))))) 9.022 * [backup-simplify]: Simplify (expm1 (log1p (/ 1.0 (/ 1 (- N))))) into (expm1 (log1p (* -1.0 N))) 9.022 * [approximate]: Taking taylor expansion of (expm1 (log1p (* -1.0 N))) in (N) around 0 9.022 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1.0 N))) in N 9.022 * [taylor]: Rewrote expression to (- (exp (log1p (* -1.0 N))) 1) 9.022 * [taylor]: Taking taylor expansion of (exp (log1p (* -1.0 N))) in N 9.022 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 9.022 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 9.022 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 9.022 * [taylor]: Taking taylor expansion of 1 in N 9.022 * [backup-simplify]: Simplify 1 into 1 9.022 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 9.022 * [taylor]: Taking taylor expansion of -1.0 in N 9.022 * [backup-simplify]: Simplify -1.0 into -1.0 9.022 * [taylor]: Taking taylor expansion of N in N 9.022 * [backup-simplify]: Simplify 0 into 0 9.022 * [backup-simplify]: Simplify 1 into 1 9.023 * [backup-simplify]: Simplify (* -1.0 0) into 0 9.023 * [backup-simplify]: Simplify (+ 1 0) into 1 9.023 * [backup-simplify]: Simplify (log 1) into 0 9.025 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 9.026 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 9.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 9.034 * [backup-simplify]: Simplify (exp 0) into 1 9.034 * [taylor]: Taking taylor expansion of 1 in N 9.034 * [backup-simplify]: Simplify 1 into 1 9.034 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1.0 N))) in N 9.034 * [taylor]: Rewrote expression to (- (exp (log1p (* -1.0 N))) 1) 9.034 * [taylor]: Taking taylor expansion of (exp (log1p (* -1.0 N))) in N 9.034 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 9.034 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 9.034 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 9.034 * [taylor]: Taking taylor expansion of 1 in N 9.034 * [backup-simplify]: Simplify 1 into 1 9.034 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 9.034 * [taylor]: Taking taylor expansion of -1.0 in N 9.034 * [backup-simplify]: Simplify -1.0 into -1.0 9.034 * [taylor]: Taking taylor expansion of N in N 9.034 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify 1 into 1 9.035 * [backup-simplify]: Simplify (* -1.0 0) into 0 9.035 * [backup-simplify]: Simplify (+ 1 0) into 1 9.036 * [backup-simplify]: Simplify (log 1) into 0 9.037 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 9.038 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 9.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 9.045 * [backup-simplify]: Simplify (exp 0) into 1 9.045 * [taylor]: Taking taylor expansion of 1 in N 9.045 * [backup-simplify]: Simplify 1 into 1 9.046 * [backup-simplify]: Simplify (- 1) into -1 9.046 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.046 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1.0 1) 1)))) into -1.0 9.048 * [backup-simplify]: Simplify (- 0) into 0 9.049 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 9.049 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.049 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.050 * [backup-simplify]: Simplify (+ 0 0) into 0 9.057 * [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 9.061 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1.0 2) 2)) (* (/ (pow -0.5 1) 1)))) into 0 9.061 * [backup-simplify]: Simplify (- 0) into 0 9.061 * [backup-simplify]: Simplify (+ 0 0) into 0 9.061 * [backup-simplify]: Simplify 0 into 0 9.062 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.062 * [backup-simplify]: Simplify (+ 0 0) into 0 9.074 * [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 9.088 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1.0 3) 6)) (* (/ (pow -1.0 1) 1) (/ (pow -0.5 1) 1)) (* (/ (pow -0.3333333333333333 1) 1)))) into 5.551115123125783e-17 9.088 * [backup-simplify]: Simplify (- 0) into 0 9.089 * [backup-simplify]: Simplify (+ 5.551115123125783e-17 0) into 5.551115123125783e-17 9.089 * [backup-simplify]: Simplify 5.551115123125783e-17 into 5.551115123125783e-17 9.090 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.091 * [backup-simplify]: Simplify (+ 0 0) into 0 9.132 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (- 1.0)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (- 1.0)) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (- 1.0)) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -0.25 9.146 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1.0 4) 24)) (* (/ (pow -1.0 2) 2) (/ (pow -0.5 1) 1)) (* (/ (pow -1.0 1) 1) (/ (pow -0.3333333333333333 1) 1)) (* (/ (pow -0.5 2) 2)) (* (/ (pow -0.25 1) 1)))) into -2.7755575615628914e-17 9.146 * [backup-simplify]: Simplify (- 0) into 0 9.146 * [backup-simplify]: Simplify (+ -2.7755575615628914e-17 0) into (- 2.7755575615628914e-17) 9.147 * [backup-simplify]: Simplify (- 2.7755575615628914e-17) into (- 2.7755575615628914e-17) 9.147 * [backup-simplify]: Simplify (+ (* (- 2.7755575615628914e-17) (pow (/ 1 (- N)) 4)) (+ (* 5.551115123125783e-17 (pow (/ 1 (- N)) 3)) (* (- 1.0) (/ 1 (- N))))) into (- (* 1.0 (/ 1 N)) (+ (* 5.551115123125783e-17 (/ 1 (pow N 3))) (* 2.7755575615628914e-17 (/ 1 (pow N 4))))) 9.147 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 9.148 * [backup-simplify]: Simplify (log1p (/ 1.0 N)) into (log1p (/ 1.0 N)) 9.148 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 N)) in (N) around 0 9.148 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 9.148 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 9.148 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 9.148 * [taylor]: Taking taylor expansion of 1 in N 9.148 * [backup-simplify]: Simplify 1 into 1 9.148 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 9.148 * [taylor]: Taking taylor expansion of 1.0 in N 9.148 * [backup-simplify]: Simplify 1.0 into 1.0 9.148 * [taylor]: Taking taylor expansion of N in N 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify 1 into 1 9.148 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.148 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.149 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.149 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 9.149 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 9.149 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 9.149 * [taylor]: Taking taylor expansion of 1 in N 9.149 * [backup-simplify]: Simplify 1 into 1 9.149 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 9.149 * [taylor]: Taking taylor expansion of 1.0 in N 9.149 * [backup-simplify]: Simplify 1.0 into 1.0 9.149 * [taylor]: Taking taylor expansion of N in N 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 1 into 1 9.149 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.150 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.150 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.150 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 9.151 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 9.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 9.151 * [backup-simplify]: Simplify (+ 1 0) into 1 9.156 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.156 * [backup-simplify]: Simplify 1.0 into 1.0 9.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.157 * [backup-simplify]: Simplify (+ 0 0) into 0 9.167 * [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)) 9.168 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 9.170 * [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))) 9.170 * [backup-simplify]: Simplify (log1p (/ 1.0 (/ 1 N))) into (log1p (* 1.0 N)) 9.170 * [approximate]: Taking taylor expansion of (log1p (* 1.0 N)) in (N) around 0 9.170 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 9.170 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 9.170 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 9.170 * [taylor]: Taking taylor expansion of 1 in N 9.170 * [backup-simplify]: Simplify 1 into 1 9.170 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.170 * [taylor]: Taking taylor expansion of 1.0 in N 9.170 * [backup-simplify]: Simplify 1.0 into 1.0 9.170 * [taylor]: Taking taylor expansion of N in N 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify 1 into 1 9.171 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.171 * [backup-simplify]: Simplify (+ 1 0) into 1 9.172 * [backup-simplify]: Simplify (log 1) into 0 9.172 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 9.172 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 9.172 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 9.172 * [taylor]: Taking taylor expansion of 1 in N 9.172 * [backup-simplify]: Simplify 1 into 1 9.172 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.172 * [taylor]: Taking taylor expansion of 1.0 in N 9.172 * [backup-simplify]: Simplify 1.0 into 1.0 9.172 * [taylor]: Taking taylor expansion of N in N 9.172 * [backup-simplify]: Simplify 0 into 0 9.172 * [backup-simplify]: Simplify 1 into 1 9.172 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.173 * [backup-simplify]: Simplify (+ 1 0) into 1 9.173 * [backup-simplify]: Simplify (log 1) into 0 9.173 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.175 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.181 * [backup-simplify]: Simplify 1.0 into 1.0 9.182 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.183 * [backup-simplify]: Simplify (+ 0 0) into 0 9.193 * [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 9.194 * [backup-simplify]: Simplify -0.5 into -0.5 9.195 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.195 * [backup-simplify]: Simplify (+ 0 0) into 0 9.211 * [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 9.211 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.212 * [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)))) 9.212 * [backup-simplify]: Simplify (log1p (/ 1.0 (/ 1 (- N)))) into (log1p (* -1.0 N)) 9.212 * [approximate]: Taking taylor expansion of (log1p (* -1.0 N)) in (N) around 0 9.212 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 9.212 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 9.212 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 9.212 * [taylor]: Taking taylor expansion of 1 in N 9.212 * [backup-simplify]: Simplify 1 into 1 9.212 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 9.212 * [taylor]: Taking taylor expansion of -1.0 in N 9.212 * [backup-simplify]: Simplify -1.0 into -1.0 9.212 * [taylor]: Taking taylor expansion of N in N 9.212 * [backup-simplify]: Simplify 0 into 0 9.213 * [backup-simplify]: Simplify 1 into 1 9.213 * [backup-simplify]: Simplify (* -1.0 0) into 0 9.213 * [backup-simplify]: Simplify (+ 1 0) into 1 9.214 * [backup-simplify]: Simplify (log 1) into 0 9.214 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 9.214 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 9.214 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 9.214 * [taylor]: Taking taylor expansion of 1 in N 9.214 * [backup-simplify]: Simplify 1 into 1 9.214 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 9.214 * [taylor]: Taking taylor expansion of -1.0 in N 9.214 * [backup-simplify]: Simplify -1.0 into -1.0 9.214 * [taylor]: Taking taylor expansion of N in N 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [backup-simplify]: Simplify 1 into 1 9.215 * [backup-simplify]: Simplify (* -1.0 0) into 0 9.215 * [backup-simplify]: Simplify (+ 1 0) into 1 9.215 * [backup-simplify]: Simplify (log 1) into 0 9.216 * [backup-simplify]: Simplify 0 into 0 9.217 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 9.218 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 9.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 9.225 * [backup-simplify]: Simplify -1.0 into -1.0 9.226 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.226 * [backup-simplify]: Simplify (+ 0 0) into 0 9.258 * [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 9.258 * [backup-simplify]: Simplify -0.5 into -0.5 9.259 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.260 * [backup-simplify]: Simplify (+ 0 0) into 0 9.279 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 9.279 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 9.280 * [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)))) 9.280 * * * * [progress]: [ 3 / 3 ] generating series at (2) 9.280 * [backup-simplify]: Simplify (log1p (expm1 (log1p (/ 1.0 N)))) into (log1p (expm1 (log1p (/ 1.0 N)))) 9.280 * [approximate]: Taking taylor expansion of (log1p (expm1 (log1p (/ 1.0 N)))) in (N) around 0 9.280 * [taylor]: Taking taylor expansion of (log1p (expm1 (log1p (/ 1.0 N)))) in N 9.281 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log1p (/ 1.0 N))))) 9.281 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log1p (/ 1.0 N)))) in N 9.281 * [taylor]: Taking taylor expansion of 1 in N 9.281 * [backup-simplify]: Simplify 1 into 1 9.281 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 N))) in N 9.281 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 N))) 1) 9.281 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 N))) in N 9.281 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 9.281 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 9.281 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 9.281 * [taylor]: Taking taylor expansion of 1 in N 9.281 * [backup-simplify]: Simplify 1 into 1 9.281 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 9.281 * [taylor]: Taking taylor expansion of 1.0 in N 9.281 * [backup-simplify]: Simplify 1.0 into 1.0 9.281 * [taylor]: Taking taylor expansion of N in N 9.281 * [backup-simplify]: Simplify 0 into 0 9.281 * [backup-simplify]: Simplify 1 into 1 9.282 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.282 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.283 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.284 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 9.284 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 9.285 * [backup-simplify]: Simplify (exp (- (log 1.0) (log N))) into (exp (- (log 1.0) (log N))) 9.285 * [taylor]: Taking taylor expansion of 1 in N 9.285 * [backup-simplify]: Simplify 1 into 1 9.285 * [backup-simplify]: Simplify (- 1) into -1 9.286 * [backup-simplify]: Simplify (+ (exp (- (log 1.0) (log N))) -1) into (- (exp (- (log 1.0) (log N))) 1) 9.286 * [backup-simplify]: Simplify (+ 1 (- (exp (- (log 1.0) (log N))) 1)) into (exp (- (log 1.0) (log N))) 9.287 * [backup-simplify]: Simplify (log (exp (- (log 1.0) (log N)))) into (- (log 1.0) (log N)) 9.287 * [taylor]: Taking taylor expansion of (log1p (expm1 (log1p (/ 1.0 N)))) in N 9.287 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log1p (/ 1.0 N))))) 9.287 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log1p (/ 1.0 N)))) in N 9.287 * [taylor]: Taking taylor expansion of 1 in N 9.287 * [backup-simplify]: Simplify 1 into 1 9.287 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 N))) in N 9.287 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 N))) 1) 9.287 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 N))) in N 9.287 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 N)) in N 9.288 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 N))) 9.288 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 N)) in N 9.288 * [taylor]: Taking taylor expansion of 1 in N 9.288 * [backup-simplify]: Simplify 1 into 1 9.288 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 9.288 * [taylor]: Taking taylor expansion of 1.0 in N 9.288 * [backup-simplify]: Simplify 1.0 into 1.0 9.288 * [taylor]: Taking taylor expansion of N in N 9.288 * [backup-simplify]: Simplify 0 into 0 9.288 * [backup-simplify]: Simplify 1 into 1 9.288 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.289 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.289 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.290 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 9.291 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 9.291 * [backup-simplify]: Simplify (exp (- (log 1.0) (log N))) into (exp (- (log 1.0) (log N))) 9.292 * [taylor]: Taking taylor expansion of 1 in N 9.292 * [backup-simplify]: Simplify 1 into 1 9.292 * [backup-simplify]: Simplify (- 1) into -1 9.292 * [backup-simplify]: Simplify (+ (exp (- (log 1.0) (log N))) -1) into (- (exp (- (log 1.0) (log N))) 1) 9.293 * [backup-simplify]: Simplify (+ 1 (- (exp (- (log 1.0) (log N))) 1)) into (exp (- (log 1.0) (log N))) 9.294 * [backup-simplify]: Simplify (log (exp (- (log 1.0) (log N)))) into (- (log 1.0) (log N)) 9.294 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 9.295 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 9.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 9.296 * [backup-simplify]: Simplify (+ 1 0) into 1 9.302 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.305 * [backup-simplify]: Simplify (* (exp (- (log 1.0) (log N))) (+ (* (/ (pow 1.0 1) 1)))) into (* 1.0 (exp (- (log 1.0) (log N)))) 9.305 * [backup-simplify]: Simplify (- 0) into 0 9.306 * [backup-simplify]: Simplify (+ (* 1.0 (exp (- (log 1.0) (log N)))) 0) into (* 1.0 (exp (- (log 1.0) (log N)))) 9.307 * [backup-simplify]: Simplify (+ 0 (* 1.0 (exp (- (log 1.0) (log N))))) into (* 1.0 (exp (- (log 1.0) (log N)))) 9.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1.0 (exp (- (log 1.0) (log N))))) 1)) (pow (exp (- (log 1.0) (log N))) 1)))) 1) into 1.0 9.308 * [backup-simplify]: Simplify 1.0 into 1.0 9.309 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 9.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.310 * [backup-simplify]: Simplify (+ 0 0) into 0 9.321 * [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)) 9.330 * [backup-simplify]: Simplify (* (exp (- (log 1.0) (log N))) (+ (* (/ (pow 1.0 2) 2)) (* (/ (pow (/ -1/2 (pow 1.0 2)) 1) 1)))) into (* (exp (- (log 1.0) (log N))) (- 0.5 (* 1/2 (/ 1 (pow 1.0 2))))) 9.330 * [backup-simplify]: Simplify (- 0) into 0 9.334 * [backup-simplify]: Simplify (+ (* (exp (- (log 1.0) (log N))) (- 0.5 (* 1/2 (/ 1 (pow 1.0 2))))) 0) into (- (* 0.5 (exp (- (log 1.0) (log N)))) (* 1/2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) 9.335 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (exp (- (log 1.0) (log N)))) (* 1/2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2))))) into (- (* 0.5 (exp (- (log 1.0) (log N)))) (* 1/2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2)))) 9.339 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1.0 (exp (- (log 1.0) (log N))))) 2)) (pow (exp (- (log 1.0) (log N))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.5 (exp (- (log 1.0) (log N)))) (* 1/2 (/ (exp (- (log 1.0) (log N))) (pow 1.0 2))))) 1)) (pow (exp (- (log 1.0) (log N))) 1)))) 2) into (/ -1/2 (pow 1.0 2)) 9.341 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 9.343 * [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))) 9.343 * [backup-simplify]: Simplify (log1p (expm1 (log1p (/ 1.0 (/ 1 N))))) into (log1p (expm1 (log1p (* 1.0 N)))) 9.343 * [approximate]: Taking taylor expansion of (log1p (expm1 (log1p (* 1.0 N)))) in (N) around 0 9.343 * [taylor]: Taking taylor expansion of (log1p (expm1 (log1p (* 1.0 N)))) in N 9.343 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log1p (* 1.0 N))))) 9.343 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log1p (* 1.0 N)))) in N 9.344 * [taylor]: Taking taylor expansion of 1 in N 9.344 * [backup-simplify]: Simplify 1 into 1 9.344 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 N))) in N 9.344 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 N))) 1) 9.344 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 N))) in N 9.344 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 9.344 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 9.344 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 9.344 * [taylor]: Taking taylor expansion of 1 in N 9.344 * [backup-simplify]: Simplify 1 into 1 9.344 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.344 * [taylor]: Taking taylor expansion of 1.0 in N 9.344 * [backup-simplify]: Simplify 1.0 into 1.0 9.344 * [taylor]: Taking taylor expansion of N in N 9.344 * [backup-simplify]: Simplify 0 into 0 9.344 * [backup-simplify]: Simplify 1 into 1 9.345 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.345 * [backup-simplify]: Simplify (+ 1 0) into 1 9.345 * [backup-simplify]: Simplify (log 1) into 0 9.347 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.347 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.354 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.354 * [backup-simplify]: Simplify (exp 0) into 1 9.354 * [taylor]: Taking taylor expansion of 1 in N 9.354 * [backup-simplify]: Simplify 1 into 1 9.355 * [backup-simplify]: Simplify (- 1) into -1 9.356 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.356 * [backup-simplify]: Simplify (+ 1 0) into 1 9.357 * [backup-simplify]: Simplify (log 1) into 0 9.357 * [taylor]: Taking taylor expansion of (log1p (expm1 (log1p (* 1.0 N)))) in N 9.357 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log1p (* 1.0 N))))) 9.357 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log1p (* 1.0 N)))) in N 9.357 * [taylor]: Taking taylor expansion of 1 in N 9.357 * [backup-simplify]: Simplify 1 into 1 9.357 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 N))) in N 9.357 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 N))) 1) 9.357 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 N))) in N 9.357 * [taylor]: Taking taylor expansion of (log1p (* 1.0 N)) in N 9.357 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 N))) 9.357 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 N)) in N 9.357 * [taylor]: Taking taylor expansion of 1 in N 9.357 * [backup-simplify]: Simplify 1 into 1 9.357 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.357 * [taylor]: Taking taylor expansion of 1.0 in N 9.357 * [backup-simplify]: Simplify 1.0 into 1.0 9.358 * [taylor]: Taking taylor expansion of N in N 9.358 * [backup-simplify]: Simplify 0 into 0 9.358 * [backup-simplify]: Simplify 1 into 1 9.358 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.358 * [backup-simplify]: Simplify (+ 1 0) into 1 9.359 * [backup-simplify]: Simplify (log 1) into 0 9.360 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.361 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.367 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.368 * [backup-simplify]: Simplify (exp 0) into 1 9.368 * [taylor]: Taking taylor expansion of 1 in N 9.368 * [backup-simplify]: Simplify 1 into 1 9.368 * [backup-simplify]: Simplify (- 1) into -1 9.368 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.369 * [backup-simplify]: Simplify (+ 1 0) into 1 9.369 * [backup-simplify]: Simplify (log 1) into 0 9.369 * [backup-simplify]: Simplify 0 into 0 9.373 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1.0 1) 1)))) into 1.0 9.374 * [backup-simplify]: Simplify (- 0) into 0 9.374 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.375 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.381 * [backup-simplify]: Simplify 1.0 into 1.0 9.382 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.383 * [backup-simplify]: Simplify (+ 0 0) into 0 9.394 * [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 9.401 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1.0 2) 2)) (* (/ (pow -0.5 1) 1)))) into 0 9.402 * [backup-simplify]: Simplify (- 0) into 0 9.402 * [backup-simplify]: Simplify (+ 0 0) into 0 9.402 * [backup-simplify]: Simplify (+ 0 0) into 0 9.423 * [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 9.423 * [backup-simplify]: Simplify -0.5 into -0.5 9.424 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.425 * [backup-simplify]: Simplify (+ 0 0) into 0 9.443 * [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 9.451 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1.0 3) 6)) (* (/ (pow 1.0 1) 1) (/ (pow -0.5 1) 1)) (* (/ (pow 0.3333333333333333 1) 1)))) into -5.551115123125783e-17 9.451 * [backup-simplify]: Simplify (- 0) into 0 9.452 * [backup-simplify]: Simplify (+ -5.551115123125783e-17 0) into (- 5.551115123125783e-17) 9.452 * [backup-simplify]: Simplify (+ 0 (- 5.551115123125783e-17)) into (- 5.551115123125783e-17) 9.465 * [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 (- 5.551115123125783e-17)) 1)) (pow 1 1)))) 6) into 0.33333333333333326 9.465 * [backup-simplify]: Simplify 0.33333333333333326 into 0.33333333333333326 9.465 * [backup-simplify]: Simplify (+ (* 0.33333333333333326 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.33333333333333326 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 9.466 * [backup-simplify]: Simplify (log1p (expm1 (log1p (/ 1.0 (/ 1 (- N)))))) into (log1p (expm1 (log1p (* -1.0 N)))) 9.466 * [approximate]: Taking taylor expansion of (log1p (expm1 (log1p (* -1.0 N)))) in (N) around 0 9.466 * [taylor]: Taking taylor expansion of (log1p (expm1 (log1p (* -1.0 N)))) in N 9.466 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log1p (* -1.0 N))))) 9.466 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log1p (* -1.0 N)))) in N 9.466 * [taylor]: Taking taylor expansion of 1 in N 9.466 * [backup-simplify]: Simplify 1 into 1 9.466 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1.0 N))) in N 9.466 * [taylor]: Rewrote expression to (- (exp (log1p (* -1.0 N))) 1) 9.466 * [taylor]: Taking taylor expansion of (exp (log1p (* -1.0 N))) in N 9.466 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 9.466 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 9.466 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 9.466 * [taylor]: Taking taylor expansion of 1 in N 9.466 * [backup-simplify]: Simplify 1 into 1 9.466 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 9.466 * [taylor]: Taking taylor expansion of -1.0 in N 9.466 * [backup-simplify]: Simplify -1.0 into -1.0 9.466 * [taylor]: Taking taylor expansion of N in N 9.466 * [backup-simplify]: Simplify 0 into 0 9.466 * [backup-simplify]: Simplify 1 into 1 9.466 * [backup-simplify]: Simplify (* -1.0 0) into 0 9.467 * [backup-simplify]: Simplify (+ 1 0) into 1 9.467 * [backup-simplify]: Simplify (log 1) into 0 9.468 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 9.468 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 9.473 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 9.473 * [backup-simplify]: Simplify (exp 0) into 1 9.473 * [taylor]: Taking taylor expansion of 1 in N 9.473 * [backup-simplify]: Simplify 1 into 1 9.473 * [backup-simplify]: Simplify (- 1) into -1 9.474 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.474 * [backup-simplify]: Simplify (+ 1 0) into 1 9.475 * [backup-simplify]: Simplify (log 1) into 0 9.475 * [taylor]: Taking taylor expansion of (log1p (expm1 (log1p (* -1.0 N)))) in N 9.475 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log1p (* -1.0 N))))) 9.475 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log1p (* -1.0 N)))) in N 9.475 * [taylor]: Taking taylor expansion of 1 in N 9.475 * [backup-simplify]: Simplify 1 into 1 9.475 * [taylor]: Taking taylor expansion of (expm1 (log1p (* -1.0 N))) in N 9.475 * [taylor]: Rewrote expression to (- (exp (log1p (* -1.0 N))) 1) 9.475 * [taylor]: Taking taylor expansion of (exp (log1p (* -1.0 N))) in N 9.475 * [taylor]: Taking taylor expansion of (log1p (* -1.0 N)) in N 9.475 * [taylor]: Rewrote expression to (log (+ 1 (* -1.0 N))) 9.475 * [taylor]: Taking taylor expansion of (+ 1 (* -1.0 N)) in N 9.475 * [taylor]: Taking taylor expansion of 1 in N 9.475 * [backup-simplify]: Simplify 1 into 1 9.475 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 9.475 * [taylor]: Taking taylor expansion of -1.0 in N 9.475 * [backup-simplify]: Simplify -1.0 into -1.0 9.475 * [taylor]: Taking taylor expansion of N in N 9.475 * [backup-simplify]: Simplify 0 into 0 9.476 * [backup-simplify]: Simplify 1 into 1 9.476 * [backup-simplify]: Simplify (* -1.0 0) into 0 9.476 * [backup-simplify]: Simplify (+ 1 0) into 1 9.477 * [backup-simplify]: Simplify (log 1) into 0 9.478 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 9.479 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 9.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 9.487 * [backup-simplify]: Simplify (exp 0) into 1 9.487 * [taylor]: Taking taylor expansion of 1 in N 9.487 * [backup-simplify]: Simplify 1 into 1 9.488 * [backup-simplify]: Simplify (- 1) into -1 9.488 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.488 * [backup-simplify]: Simplify (+ 1 0) into 1 9.489 * [backup-simplify]: Simplify (log 1) into 0 9.489 * [backup-simplify]: Simplify 0 into 0 9.492 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1.0 1) 1)))) into -1.0 9.493 * [backup-simplify]: Simplify (- 0) into 0 9.493 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 9.493 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 9.498 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 9.498 * [backup-simplify]: Simplify -1.0 into -1.0 9.498 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.499 * [backup-simplify]: Simplify (+ 0 0) into 0 9.506 * [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 9.509 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1.0 2) 2)) (* (/ (pow -0.5 1) 1)))) into 0 9.510 * [backup-simplify]: Simplify (- 0) into 0 9.510 * [backup-simplify]: Simplify (+ 0 0) into 0 9.510 * [backup-simplify]: Simplify (+ 0 0) into 0 9.517 * [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 9.517 * [backup-simplify]: Simplify -0.5 into -0.5 9.518 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.518 * [backup-simplify]: Simplify (+ 0 0) into 0 9.543 * [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 9.554 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1.0 3) 6)) (* (/ (pow -1.0 1) 1) (/ (pow -0.5 1) 1)) (* (/ (pow -0.3333333333333333 1) 1)))) into 5.551115123125783e-17 9.555 * [backup-simplify]: Simplify (- 0) into 0 9.555 * [backup-simplify]: Simplify (+ 5.551115123125783e-17 0) into 5.551115123125783e-17 9.555 * [backup-simplify]: Simplify (+ 0 5.551115123125783e-17) into 5.551115123125783e-17 9.568 * [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 5.551115123125783e-17) 1)) (pow 1 1)))) 6) into -0.33333333333333326 9.568 * [backup-simplify]: Simplify -0.33333333333333326 into -0.33333333333333326 9.568 * [backup-simplify]: Simplify (+ (* -0.33333333333333326 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.33333333333333326 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 9.568 * * * [progress]: simplifying candidates 9.569 * [simplify]: Simplifying: (exp (log1p (/ 1.0 N))) (expm1 (expm1 (log1p (/ 1.0 N)))) (log1p (expm1 (log1p (/ 1.0 N)))) (log (expm1 (log1p (/ 1.0 N)))) (exp (expm1 (log1p (/ 1.0 N)))) (* (cbrt (expm1 (log1p (/ 1.0 N)))) (cbrt (expm1 (log1p (/ 1.0 N))))) (cbrt (expm1 (log1p (/ 1.0 N)))) (* (* (expm1 (log1p (/ 1.0 N))) (expm1 (log1p (/ 1.0 N)))) (expm1 (log1p (/ 1.0 N)))) (sqrt (expm1 (log1p (/ 1.0 N)))) (sqrt (expm1 (log1p (/ 1.0 N)))) (+ 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 (expm1 (log1p (/ 1.0 N)))) (expm1 (log1p (expm1 (log1p (/ 1.0 N))))) (log1p (log1p (expm1 (log1p (/ 1.0 N))))) (log (log1p (expm1 (log1p (/ 1.0 N))))) (exp (log1p (expm1 (log1p (/ 1.0 N))))) (* (cbrt (log1p (expm1 (log1p (/ 1.0 N))))) (cbrt (log1p (expm1 (log1p (/ 1.0 N)))))) (cbrt (log1p (expm1 (log1p (/ 1.0 N))))) (* (* (log1p (expm1 (log1p (/ 1.0 N)))) (log1p (expm1 (log1p (/ 1.0 N))))) (log1p (expm1 (log1p (/ 1.0 N))))) (sqrt (log1p (expm1 (log1p (/ 1.0 N))))) (sqrt (log1p (expm1 (log1p (/ 1.0 N))))) (- (+ (* 1.0 (* N (exp (- (log 1.0) (log N))))) (+ (* 0.5 (* (pow N 2) (exp (- (log 1.0) (log N))))) (exp (- (log 1.0) (log N))))) (+ 1 (* 1/2 (/ (* (pow N 2) (exp (- (log 1.0) (log N)))) (pow 1.0 2))))) (- (* 1.0 (/ 1 N)) (+ (* 5.551115123125783e-17 (/ 1 (pow N 3))) (* 2.7755575615628914e-17 (/ 1 (pow N 4))))) (- (* 1.0 (/ 1 N)) (+ (* 5.551115123125783e-17 (/ 1 (pow N 3))) (* 2.7755575615628914e-17 (/ 1 (pow N 4))))) (- (+ (* 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))) (log N))) (- (+ (* 0.33333333333333326 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.33333333333333326 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 9.570 * * [simplify]: Extracting # 0 : cost 0 9.570 * * [simplify]: Extracting # 1 : cost 0 9.570 * * [simplify]: Extracting # 2 : cost 0 9.570 * * [simplify]: Extracting # 3 : cost 0 9.570 * * [simplify]: Extracting # 4 : cost 0 9.570 * * [simplify]: Extracting # 5 : cost 0 9.570 * * [simplify]: Extracting # 6 : cost 0 9.570 * * [simplify]: Extracting # 7 : cost 0 9.571 * * [simplify]: Extracting # 8 : cost 0 9.571 * * [simplify]: Extracting # 9 : cost 0 9.571 * * [simplify]: iteration 0 : 83 enodes (cost 446 ) 9.593 * * [simplify]: Extracting # 0 : cost 0 9.593 * * [simplify]: Extracting # 1 : cost 0 9.594 * * [simplify]: Extracting # 2 : cost 0 9.594 * * [simplify]: Extracting # 3 : cost 0 9.595 * * [simplify]: iteration 1 : 183 enodes (cost 380 ) 9.683 * * [simplify]: Extracting # 0 : cost 0 9.683 * * [simplify]: Extracting # 1 : cost 0 9.684 * * [simplify]: Extracting # 2 : cost 0 9.684 * * [simplify]: Extracting # 3 : cost 0 9.685 * * [simplify]: Extracting # 4 : cost 0 9.685 * * [simplify]: iteration 2 : 471 enodes (cost 313 ) 10.021 * * [simplify]: Extracting # 0 : cost 0 10.024 * * [simplify]: Extracting # 1 : cost 0 10.028 * * [simplify]: Extracting # 2 : cost 0 10.037 * * [simplify]: Extracting # 3 : cost 0 10.038 * * [simplify]: Extracting # 4 : cost 0 10.040 * * [simplify]: iteration 3 : 1418 enodes (cost 310 ) 15.320 * * [simplify]: Extracting # 0 : cost 0 15.334 * * [simplify]: Extracting # 1 : cost 0 15.342 * * [simplify]: Extracting # 2 : cost 0 15.351 * * [simplify]: Extracting # 3 : cost 0 15.358 * * [simplify]: Extracting # 4 : cost 0 15.362 * * [simplify]: iteration 4 : 4972 enodes (cost 292 ) 17.441 * * [simplify]: Extracting # 0 : cost 0 17.445 * * [simplify]: Extracting # 1 : cost 0 17.451 * * [simplify]: iteration done: 5000 enodes (cost 292 ) 17.451 * [simplify]: Simplified to: (exp (log1p (/ 1.0 N))) (expm1 (/ 1.0 N)) (log1p (/ 1.0 N)) (log (/ 1.0 N)) (exp (/ 1.0 N)) (* (cbrt (/ 1.0 N)) (cbrt (/ 1.0 N))) (cbrt (/ 1.0 N)) (pow (/ 1.0 N) 3) (sqrt (/ 1.0 N)) (sqrt (/ 1.0 N)) (+ 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))) (+ 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 1.0 (+ 1.0 (* 0.5 N)) (/ 1.0 N)) (fma N (/ 1/2 1.0) 1)) (- (- (/ 1.0 N) (/ 2.7755575615628914e-17 (pow N 4))) (/ 5.551115123125783e-17 (pow N 3))) (- (- (/ 1.0 N) (/ 2.7755575615628914e-17 (pow N 4))) (/ 5.551115123125783e-17 (pow N 3))) (fma (/ (pow N 2) (pow 1.0 2)) -1/2 (fma 1.0 N (log (/ 1.0 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)) (fma (/ (pow N 2) (pow 1.0 2)) -1/2 (fma 1.0 N (log (/ 1.0 N)))) (fma (/ 1 (* N N)) (- (/ 0.33333333333333326 N) 0.5) (/ 1.0 N)) (fma (/ 1 (* N N)) (- (/ 0.33333333333333326 N) 0.5) (/ 1.0 N)) 17.452 * * * [progress]: adding candidates to table 17.554 * [progress]: [Phase 3 of 3] Extracting. 17.556 * [simplify]: Simplifying: (log1p (expm1 (log1p (/ 1.0 N)))) 17.556 * * [simplify]: Extracting # 0 : cost 0 17.556 * * [simplify]: Extracting # 1 : cost 0 17.556 * * [simplify]: Extracting # 2 : cost 0 17.556 * * [simplify]: Extracting # 3 : cost 0 17.556 * * [simplify]: Extracting # 4 : cost 0 17.556 * * [simplify]: Extracting # 5 : cost 0 17.556 * * [simplify]: Extracting # 6 : cost 0 17.556 * * [simplify]: iteration 0 : 6 enodes (cost 6 ) 17.557 * * [simplify]: Extracting # 0 : cost 0 17.557 * * [simplify]: iteration done: 6 enodes (cost 6 ) 17.557 * [simplify]: Simplified to: (log1p (expm1 (log1p (/ 1.0 N)))) 20.576 * [regime-testing]: End program error score: 0.008126015751968996