23.076 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.077 * [progress]: [Phase 2 of 3] Improving. 0.077 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.077 * * [simplify]: Extracting # 0 : cost 0 0.078 * * [simplify]: Extracting # 1 : cost 0 0.078 * * [simplify]: Extracting # 2 : cost 0 0.078 * * [simplify]: Extracting # 3 : cost 0 0.078 * * [simplify]: Extracting # 4 : cost 0 0.078 * * [simplify]: Extracting # 5 : cost 0 0.078 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.079 * * [simplify]: Extracting # 0 : cost 0 0.079 * * [simplify]: Extracting # 1 : cost 0 0.079 * * [simplify]: Extracting # 2 : cost 0 0.079 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.081 * * [simplify]: Extracting # 0 : cost 0 0.081 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.083 * * [simplify]: Extracting # 0 : cost 0 0.084 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.084 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.084 * * [progress]: iteration 1 / 4 0.084 * * * [progress]: picking best candidate 0.088 * * * * [pick]: Picked # 0.089 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.118 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.124 * * * [progress]: generating series expansions 0.124 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.124 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.124 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.124 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.124 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.124 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of 1.0 in N 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.125 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.125 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.126 * [taylor]: Taking taylor expansion of (log N) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (log 1) into 0 0.126 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.126 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.126 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [taylor]: Taking taylor expansion of 1.0 in N 0.126 * [backup-simplify]: Simplify 1.0 into 1.0 0.126 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.127 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.127 * [taylor]: Taking taylor expansion of (log N) 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 * [backup-simplify]: Simplify (log 1) into 0 0.128 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.128 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.128 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.128 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.129 * [backup-simplify]: Simplify (+ 1 0) into 1 0.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.134 * [backup-simplify]: Simplify 1.0 into 1.0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [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)) 0.145 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.152 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.156 * [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 0.158 * [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 0.159 * [backup-simplify]: Simplify (log 1) into 0 0.159 * [taylor]: Taking taylor expansion of (log (/ 1 N)) 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 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [backup-simplify]: Simplify (log 1) into 0 0.160 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.160 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) 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 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [taylor]: Taking taylor expansion of 1.0 in N 0.161 * [backup-simplify]: Simplify 1.0 into 1.0 0.161 * [backup-simplify]: Simplify (+ 1 0) into 1 0.162 * [backup-simplify]: Simplify (log 1) into 0 0.162 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [backup-simplify]: Simplify (log 1) into 0 0.164 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.164 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.164 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.164 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.175 * [backup-simplify]: Simplify 1.0 into 1.0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [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 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.193 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.194 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [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 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.225 * [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 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.226 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.226 * [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)))) 0.227 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.227 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.227 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.227 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.227 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.227 * [taylor]: Taking taylor expansion of 1.0 in N 0.227 * [backup-simplify]: Simplify 1.0 into 1.0 0.227 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.227 * [taylor]: Taking taylor expansion of N in N 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [backup-simplify]: Simplify (- 1) into -1 0.228 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.228 * [backup-simplify]: Simplify (log -1) into (log -1) 0.228 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.228 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.228 * [taylor]: Taking taylor expansion of -1 in N 0.228 * [backup-simplify]: Simplify -1 into -1 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 0.229 * [backup-simplify]: Simplify (log -1) into (log -1) 0.229 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.229 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.229 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.229 * [taylor]: Taking taylor expansion of 1.0 in N 0.229 * [backup-simplify]: Simplify 1.0 into 1.0 0.229 * [taylor]: Taking taylor expansion of (/ 1 N) in N 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 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify (- 1) into -1 0.230 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.230 * [backup-simplify]: Simplify (log -1) into (log -1) 0.230 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.230 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.230 * [taylor]: Taking taylor expansion of -1 in N 0.230 * [backup-simplify]: Simplify -1 into -1 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [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)) 0.232 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.238 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.240 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [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 0.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.252 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [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 0.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [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 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.284 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.286 * [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)))) 0.286 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.287 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.287 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.287 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.287 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.287 * [taylor]: Taking taylor expansion of N in N 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [taylor]: Taking taylor expansion of 1.0 in N 0.287 * [backup-simplify]: Simplify 1.0 into 1.0 0.288 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.288 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.288 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.288 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.288 * [taylor]: Taking taylor expansion of N in N 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of 1.0 in N 0.288 * [backup-simplify]: Simplify 1.0 into 1.0 0.289 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.290 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.290 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.298 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.298 * [backup-simplify]: Simplify 1.0 into 1.0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.312 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.314 * [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 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [taylor]: Taking taylor expansion of 1.0 in N 0.315 * [backup-simplify]: Simplify 1.0 into 1.0 0.316 * [backup-simplify]: Simplify (+ 1 0) into 1 0.316 * [backup-simplify]: Simplify (log 1) into 0 0.316 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.316 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.316 * [taylor]: Taking taylor expansion of N in N 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [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 0.317 * [backup-simplify]: Simplify (+ 1 0) into 1 0.317 * [backup-simplify]: Simplify (log 1) into 0 0.318 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.318 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.326 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.326 * [backup-simplify]: Simplify 1.0 into 1.0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [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 0.340 * [backup-simplify]: Simplify -0.5 into -0.5 0.341 * [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)))) 0.341 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.341 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.341 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.341 * [taylor]: Taking taylor expansion of 1.0 in N 0.341 * [backup-simplify]: Simplify 1.0 into 1.0 0.341 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (/ 1 1) into 1 0.342 * [backup-simplify]: Simplify (- 1) into -1 0.342 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.343 * [backup-simplify]: Simplify (log -1) into (log -1) 0.343 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.343 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.343 * [taylor]: Taking taylor expansion of 1.0 in N 0.343 * [backup-simplify]: Simplify 1.0 into 1.0 0.343 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.343 * [taylor]: Taking taylor expansion of N in N 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [backup-simplify]: Simplify (- 1) into -1 0.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.345 * [backup-simplify]: Simplify (log -1) into (log -1) 0.346 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.346 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.357 * [backup-simplify]: Simplify -1.0 into -1.0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [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 0.365 * [backup-simplify]: Simplify -0.5 into -0.5 0.366 * [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)))) 0.366 * * * [progress]: simplifying candidates 0.366 * [simplify]: Simplifying: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.367 * * [simplify]: Extracting # 0 : cost 0 0.367 * * [simplify]: Extracting # 1 : cost 0 0.368 * * [simplify]: Extracting # 2 : cost 0 0.368 * * [simplify]: Extracting # 3 : cost 0 0.368 * * [simplify]: Extracting # 4 : cost 0 0.368 * * [simplify]: Extracting # 5 : cost 0 0.368 * * [simplify]: Extracting # 6 : cost 0 0.368 * * [simplify]: Extracting # 7 : cost 0 0.368 * * [simplify]: iteration 0 : 101 enodes (cost 510 ) 0.396 * * [simplify]: Extracting # 0 : cost 0 0.396 * * [simplify]: Extracting # 1 : cost 0 0.397 * * [simplify]: Extracting # 2 : cost 0 0.397 * * [simplify]: Extracting # 3 : cost 0 0.398 * * [simplify]: Extracting # 4 : cost 0 0.398 * * [simplify]: iteration 1 : 213 enodes (cost 488 ) 0.458 * * [simplify]: Extracting # 0 : cost 0 0.459 * * [simplify]: Extracting # 1 : cost 0 0.459 * * [simplify]: Extracting # 2 : cost 0 0.460 * * [simplify]: Extracting # 3 : cost 0 0.460 * * [simplify]: Extracting # 4 : cost 0 0.461 * * [simplify]: iteration 2 : 464 enodes (cost 445 ) 0.655 * * [simplify]: Extracting # 0 : cost 0 0.657 * * [simplify]: Extracting # 1 : cost 0 0.661 * * [simplify]: Extracting # 2 : cost 0 0.663 * * [simplify]: Extracting # 3 : cost 0 0.665 * * [simplify]: Extracting # 4 : cost 0 0.668 * * [simplify]: iteration 3 : 1067 enodes (cost 443 ) 1.545 * * [simplify]: Extracting # 0 : cost 0 1.548 * * [simplify]: Extracting # 1 : cost 0 1.551 * * [simplify]: Extracting # 2 : cost 0 1.553 * * [simplify]: Extracting # 3 : cost 0 1.558 * * [simplify]: Extracting # 4 : cost 0 1.560 * * [simplify]: iteration 4 : 2569 enodes (cost 438 ) 3.191 * * [simplify]: Extracting # 0 : cost 0 3.199 * * [simplify]: Extracting # 1 : cost 0 3.209 * * [simplify]: Extracting # 2 : cost 0 3.220 * * [simplify]: Extracting # 3 : cost 0 3.225 * * [simplify]: Extracting # 4 : cost 0 3.230 * * [simplify]: Extracting # 5 : cost 0 3.235 * * [simplify]: iteration done: 5000 enodes (cost 426 ) 3.235 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log N) (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)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (+ (* N (+ (* -1/2 (/ N (* 1.0 1.0))) 1.0)) (- (log 1.0) (log N))) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (* N (+ (* -1/2 (/ N (* 1.0 1.0))) 1.0)) (log 1.0)) (+ (/ (- 1.0 (/ 0.5 N)) N) (log N)) (+ (/ (- 1.0 (/ 0.5 N)) N) (log N)) 3.236 * * * [progress]: adding candidates to table 3.402 * * [progress]: iteration 2 / 4 3.402 * * * [progress]: picking best candidate 3.412 * * * * [pick]: Picked # 3.412 * * * [progress]: localizing error 3.422 * * * [progress]: generating rewritten candidates 3.422 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.433 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.474 * * * [progress]: generating series expansions 3.474 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.475 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 3.475 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 3.475 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.475 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.475 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.475 * [taylor]: Taking taylor expansion of N in N 3.475 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify 1 into 1 3.475 * [taylor]: Taking taylor expansion of 1.0 in N 3.475 * [backup-simplify]: Simplify 1.0 into 1.0 3.475 * [taylor]: Taking taylor expansion of N in N 3.475 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify 1 into 1 3.477 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.477 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.478 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.478 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.478 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.478 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.478 * [taylor]: Taking taylor expansion of N in N 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [taylor]: Taking taylor expansion of 1.0 in N 3.478 * [backup-simplify]: Simplify 1.0 into 1.0 3.478 * [taylor]: Taking taylor expansion of N in N 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.479 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.479 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.481 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.481 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 3.481 * [backup-simplify]: Simplify (+ 1 0) into 1 3.482 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.488 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.488 * [backup-simplify]: Simplify 1.0 into 1.0 3.488 * [backup-simplify]: Simplify (+ 0 0) into 0 3.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.498 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.499 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.500 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 3.500 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 3.500 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.500 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.501 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.501 * [taylor]: Taking taylor expansion of N in N 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 1 into 1 3.501 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.501 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.501 * [taylor]: Taking taylor expansion of N in N 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 1 into 1 3.501 * [backup-simplify]: Simplify (/ 1 1) into 1 3.501 * [taylor]: Taking taylor expansion of 1.0 in N 3.501 * [backup-simplify]: Simplify 1.0 into 1.0 3.501 * [backup-simplify]: Simplify (+ 1 0) into 1 3.501 * [backup-simplify]: Simplify (* 0 1) into 0 3.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.502 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.503 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.503 * [backup-simplify]: Simplify (log 1) into 0 3.503 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.503 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.503 * [taylor]: Taking taylor expansion of N in N 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.503 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.503 * [taylor]: Taking taylor expansion of N in N 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [backup-simplify]: Simplify (/ 1 1) into 1 3.503 * [taylor]: Taking taylor expansion of 1.0 in N 3.503 * [backup-simplify]: Simplify 1.0 into 1.0 3.504 * [backup-simplify]: Simplify (+ 1 0) into 1 3.504 * [backup-simplify]: Simplify (* 0 1) into 0 3.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.505 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.505 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.505 * [backup-simplify]: Simplify (log 1) into 0 3.505 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.506 * [backup-simplify]: Simplify (+ 0 0) into 0 3.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.515 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.515 * [backup-simplify]: Simplify 1.0 into 1.0 3.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (+ 0 0) into 0 3.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.524 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.524 * [backup-simplify]: Simplify -0.5 into -0.5 3.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.524 * [backup-simplify]: Simplify (+ 0 0) into 0 3.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.541 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 3.541 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.542 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.542 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 3.542 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.542 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.542 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.542 * [taylor]: Taking taylor expansion of -1 in N 3.542 * [backup-simplify]: Simplify -1 into -1 3.542 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.542 * [taylor]: Taking taylor expansion of N in N 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.542 * [taylor]: Taking taylor expansion of 1.0 in N 3.542 * [backup-simplify]: Simplify 1.0 into 1.0 3.542 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.542 * [taylor]: Taking taylor expansion of N in N 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 1 into 1 3.543 * [backup-simplify]: Simplify (/ 1 1) into 1 3.543 * [backup-simplify]: Simplify (- 1) into -1 3.543 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.544 * [backup-simplify]: Simplify (* 0 -1) into 0 3.544 * [backup-simplify]: Simplify (* -1 0) into 0 3.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.545 * [backup-simplify]: Simplify (- 0) into 0 3.545 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.546 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.546 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.546 * [backup-simplify]: Simplify (log 1) into 0 3.546 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.546 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.546 * [taylor]: Taking taylor expansion of -1 in N 3.546 * [backup-simplify]: Simplify -1 into -1 3.546 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.546 * [taylor]: Taking taylor expansion of N in N 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify 1 into 1 3.546 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.546 * [taylor]: Taking taylor expansion of 1.0 in N 3.547 * [backup-simplify]: Simplify 1.0 into 1.0 3.547 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.547 * [taylor]: Taking taylor expansion of N in N 3.547 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify 1 into 1 3.547 * [backup-simplify]: Simplify (/ 1 1) into 1 3.547 * [backup-simplify]: Simplify (- 1) into -1 3.547 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.548 * [backup-simplify]: Simplify (* 0 -1) into 0 3.548 * [backup-simplify]: Simplify (* -1 0) into 0 3.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.549 * [backup-simplify]: Simplify (- 0) into 0 3.549 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.550 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.550 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.551 * [backup-simplify]: Simplify (log 1) into 0 3.551 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.551 * [backup-simplify]: Simplify (- 0) into 0 3.552 * [backup-simplify]: Simplify (+ 0 0) into 0 3.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.555 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.559 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 3.559 * [backup-simplify]: Simplify -1.0 into -1.0 3.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.560 * [backup-simplify]: Simplify (- 0) into 0 3.560 * [backup-simplify]: Simplify (+ 0 0) into 0 3.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.562 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.569 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.569 * [backup-simplify]: Simplify -0.5 into -0.5 3.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.570 * [backup-simplify]: Simplify (- 0) into 0 3.570 * [backup-simplify]: Simplify (+ 0 0) into 0 3.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.572 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.585 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 3.585 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.585 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.586 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.586 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 3.586 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 3.586 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.586 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.586 * [taylor]: Taking taylor expansion of N in N 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [taylor]: Taking taylor expansion of 1.0 in N 3.586 * [backup-simplify]: Simplify 1.0 into 1.0 3.586 * [taylor]: Taking taylor expansion of N in N 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.586 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.586 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.586 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.586 * [taylor]: Taking taylor expansion of N in N 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.587 * [taylor]: Taking taylor expansion of 1.0 in N 3.587 * [backup-simplify]: Simplify 1.0 into 1.0 3.587 * [taylor]: Taking taylor expansion of N in N 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify 1 into 1 3.587 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.587 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.587 * [backup-simplify]: Simplify 1.0 into 1.0 3.587 * [backup-simplify]: Simplify (+ 1 0) into 1 3.588 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.588 * [backup-simplify]: Simplify 1 into 1 3.588 * [backup-simplify]: Simplify (+ 0 0) into 0 3.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.589 * [backup-simplify]: Simplify 0 into 0 3.589 * [backup-simplify]: Simplify (+ 0 0) into 0 3.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.590 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify (+ 0 0) into 0 3.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify (+ 0 0) into 0 3.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify (+ 0 0) into 0 3.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify (+ 0 0) into 0 3.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 3.594 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 3.594 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 3.594 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.594 * [taylor]: Taking taylor expansion of N in N 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 1 into 1 3.594 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.594 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.594 * [taylor]: Taking taylor expansion of N in N 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 1 into 1 3.594 * [backup-simplify]: Simplify (/ 1 1) into 1 3.594 * [taylor]: Taking taylor expansion of 1.0 in N 3.594 * [backup-simplify]: Simplify 1.0 into 1.0 3.594 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.594 * [taylor]: Taking taylor expansion of N in N 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 1 into 1 3.594 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.594 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.594 * [taylor]: Taking taylor expansion of N in N 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 1 into 1 3.595 * [backup-simplify]: Simplify (/ 1 1) into 1 3.595 * [taylor]: Taking taylor expansion of 1.0 in N 3.595 * [backup-simplify]: Simplify 1.0 into 1.0 3.595 * [backup-simplify]: Simplify (+ 1 0) into 1 3.595 * [backup-simplify]: Simplify (* 0 1) into 0 3.595 * [backup-simplify]: Simplify 0 into 0 3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.596 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.597 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.597 * [backup-simplify]: Simplify 1 into 1 3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (+ 0 0) into 0 3.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.599 * [backup-simplify]: Simplify 1.0 into 1.0 3.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.600 * [backup-simplify]: Simplify (+ 0 0) into 0 3.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.600 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.601 * [backup-simplify]: Simplify (+ 0 0) into 0 3.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.602 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.603 * [backup-simplify]: Simplify (+ 0 0) into 0 3.604 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.605 * [backup-simplify]: Simplify (+ 0 0) into 0 3.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.607 * [backup-simplify]: Simplify (+ 0 0) into 0 3.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 3.608 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.612 * [backup-simplify]: Simplify (+ 0 0) into 0 3.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.613 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 3.613 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 3.613 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.613 * [taylor]: Taking taylor expansion of -1 in N 3.613 * [backup-simplify]: Simplify -1 into -1 3.613 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.613 * [taylor]: Taking taylor expansion of N in N 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.613 * [taylor]: Taking taylor expansion of 1.0 in N 3.613 * [backup-simplify]: Simplify 1.0 into 1.0 3.613 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.613 * [taylor]: Taking taylor expansion of N in N 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.614 * [backup-simplify]: Simplify (/ 1 1) into 1 3.614 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.614 * [taylor]: Taking taylor expansion of -1 in N 3.614 * [backup-simplify]: Simplify -1 into -1 3.614 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.614 * [taylor]: Taking taylor expansion of N in N 3.614 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify 1 into 1 3.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.614 * [taylor]: Taking taylor expansion of 1.0 in N 3.614 * [backup-simplify]: Simplify 1.0 into 1.0 3.614 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.614 * [taylor]: Taking taylor expansion of N in N 3.614 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify 1 into 1 3.614 * [backup-simplify]: Simplify (/ 1 1) into 1 3.614 * [backup-simplify]: Simplify (- 1) into -1 3.615 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.615 * [backup-simplify]: Simplify (* 0 -1) into 0 3.615 * [backup-simplify]: Simplify (* -1 0) into 0 3.615 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.616 * [backup-simplify]: Simplify (- 0) into 0 3.616 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.617 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.617 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.617 * [backup-simplify]: Simplify 1 into 1 3.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.618 * [backup-simplify]: Simplify (- 0) into 0 3.618 * [backup-simplify]: Simplify (+ 0 0) into 0 3.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.621 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.621 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.622 * [backup-simplify]: Simplify (- 0) into 0 3.622 * [backup-simplify]: Simplify (+ 0 0) into 0 3.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.624 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.625 * [backup-simplify]: Simplify (- 0) into 0 3.625 * [backup-simplify]: Simplify (+ 0 0) into 0 3.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.627 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.628 * [backup-simplify]: Simplify (- 0) into 0 3.628 * [backup-simplify]: Simplify (+ 0 0) into 0 3.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 3.630 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 3.630 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.631 * [backup-simplify]: Simplify (- 0) into 0 3.631 * [backup-simplify]: Simplify (+ 0 0) into 0 3.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 3.633 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 3.633 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (- 0) into 0 3.634 * [backup-simplify]: Simplify (+ 0 0) into 0 3.635 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 3.637 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.638 * [backup-simplify]: Simplify (- 0) into 0 3.638 * [backup-simplify]: Simplify (+ 0 0) into 0 3.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 3.640 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 3.640 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.641 * * * [progress]: simplifying candidates 3.642 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 3.643 * * [simplify]: Extracting # 0 : cost 0 3.643 * * [simplify]: Extracting # 1 : cost 0 3.643 * * [simplify]: Extracting # 2 : cost 0 3.644 * * [simplify]: Extracting # 3 : cost 0 3.644 * * [simplify]: Extracting # 4 : cost 0 3.644 * * [simplify]: Extracting # 5 : cost 0 3.644 * * [simplify]: Extracting # 6 : cost 0 3.644 * * [simplify]: Extracting # 7 : cost 0 3.644 * * [simplify]: Extracting # 8 : cost 0 3.644 * * [simplify]: Extracting # 9 : cost 0 3.644 * * [simplify]: Extracting # 10 : cost 0 3.645 * * [simplify]: iteration 0 : 108 enodes (cost 723 ) 3.680 * * [simplify]: Extracting # 0 : cost 0 3.681 * * [simplify]: Extracting # 1 : cost 0 3.682 * * [simplify]: Extracting # 2 : cost 0 3.682 * * [simplify]: Extracting # 3 : cost 0 3.682 * * [simplify]: Extracting # 4 : cost 0 3.683 * * [simplify]: iteration 1 : 232 enodes (cost 690 ) 3.803 * * [simplify]: Extracting # 0 : cost 0 3.805 * * [simplify]: Extracting # 1 : cost 0 3.806 * * [simplify]: Extracting # 2 : cost 0 3.807 * * [simplify]: Extracting # 3 : cost 0 3.808 * * [simplify]: Extracting # 4 : cost 0 3.809 * * [simplify]: iteration 2 : 583 enodes (cost 637 ) 4.061 * * [simplify]: Extracting # 0 : cost 0 4.063 * * [simplify]: Extracting # 1 : cost 0 4.064 * * [simplify]: Extracting # 2 : cost 0 4.065 * * [simplify]: Extracting # 3 : cost 0 4.067 * * [simplify]: Extracting # 4 : cost 0 4.068 * * [simplify]: iteration 3 : 1417 enodes (cost 624 ) 5.461 * * [simplify]: Extracting # 0 : cost 0 5.470 * * [simplify]: Extracting # 1 : cost 0 5.476 * * [simplify]: Extracting # 2 : cost 0 5.487 * * [simplify]: Extracting # 3 : cost 0 5.494 * * [simplify]: Extracting # 4 : cost 0 5.500 * * [simplify]: iteration 4 : 3874 enodes (cost 622 ) 7.028 * * [simplify]: Extracting # 0 : cost 0 7.034 * * [simplify]: Extracting # 1 : cost 0 7.040 * * [simplify]: Extracting # 2 : cost 0 7.045 * * [simplify]: iteration done: 5001 enodes (cost 622 ) 7.046 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (* -2 (log (cbrt N))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (+ (* 1.0 (- 1.0 N)) (* N N))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (/ (+ 1.0 N) N) (/ (+ 1.0 N) N) (/ (+ 1.0 N) N) 7.046 * * * [progress]: adding candidates to table 7.194 * * [progress]: iteration 3 / 4 7.194 * * * [progress]: picking best candidate 7.200 * * * * [pick]: Picked # 7.200 * * * [progress]: localizing error 7.216 * * * [progress]: generating rewritten candidates 7.216 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.285 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 7.290 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 7.290 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1) 7.293 * * * [progress]: generating series expansions 7.293 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.294 * [backup-simplify]: Simplify (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) into (- (log (+ N 1.0)) (* 3 (log (pow N 1/3)))) 7.294 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (* 3 (log (pow N 1/3)))) in (N) around 0 7.294 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (* 3 (log (pow N 1/3)))) in N 7.294 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.294 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.294 * [taylor]: Taking taylor expansion of N in N 7.294 * [backup-simplify]: Simplify 0 into 0 7.294 * [backup-simplify]: Simplify 1 into 1 7.294 * [taylor]: Taking taylor expansion of 1.0 in N 7.294 * [backup-simplify]: Simplify 1.0 into 1.0 7.295 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.295 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.295 * [taylor]: Taking taylor expansion of (* 3 (log (pow N 1/3))) in N 7.295 * [taylor]: Taking taylor expansion of 3 in N 7.295 * [backup-simplify]: Simplify 3 into 3 7.295 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 7.295 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.295 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.296 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.296 * [taylor]: Taking taylor expansion of 1/3 in N 7.296 * [backup-simplify]: Simplify 1/3 into 1/3 7.296 * [taylor]: Taking taylor expansion of (log N) in N 7.296 * [taylor]: Taking taylor expansion of N in N 7.296 * [backup-simplify]: Simplify 0 into 0 7.296 * [backup-simplify]: Simplify 1 into 1 7.296 * [backup-simplify]: Simplify (log 1) into 0 7.297 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.297 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.297 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.297 * [backup-simplify]: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) 7.297 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (* 3 (log (pow N 1/3)))) in N 7.297 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.297 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.297 * [taylor]: Taking taylor expansion of N in N 7.297 * [backup-simplify]: Simplify 0 into 0 7.297 * [backup-simplify]: Simplify 1 into 1 7.297 * [taylor]: Taking taylor expansion of 1.0 in N 7.297 * [backup-simplify]: Simplify 1.0 into 1.0 7.298 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.298 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.298 * [taylor]: Taking taylor expansion of (* 3 (log (pow N 1/3))) in N 7.298 * [taylor]: Taking taylor expansion of 3 in N 7.298 * [backup-simplify]: Simplify 3 into 3 7.298 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 7.298 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.298 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.298 * [taylor]: Taking taylor expansion of 1/3 in N 7.298 * [backup-simplify]: Simplify 1/3 into 1/3 7.298 * [taylor]: Taking taylor expansion of (log N) in N 7.298 * [taylor]: Taking taylor expansion of N in N 7.298 * [backup-simplify]: Simplify 0 into 0 7.298 * [backup-simplify]: Simplify 1 into 1 7.299 * [backup-simplify]: Simplify (log 1) into 0 7.299 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.299 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.299 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.300 * [backup-simplify]: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) 7.300 * [backup-simplify]: Simplify (* 3 (log (pow N 1/3))) into (* 3 (log (pow N 1/3))) 7.300 * [backup-simplify]: Simplify (- (* 3 (log (pow N 1/3)))) into (- (* 3 (log (pow N 1/3)))) 7.301 * [backup-simplify]: Simplify (+ (log 1.0) (- (* 3 (log (pow N 1/3))))) into (- (log 1.0) (* 3 (log (pow N 1/3)))) 7.301 * [backup-simplify]: Simplify (- (log 1.0) (* 3 (log (pow N 1/3)))) into (- (log 1.0) (* 3 (log (pow N 1/3)))) 7.302 * [backup-simplify]: Simplify (+ 1 0) into 1 7.307 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.309 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.309 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.310 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 7.310 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N 1/3) 1)))) 1) into 0 7.312 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (log (pow N 1/3)))) into 0 7.312 * [backup-simplify]: Simplify (- 0) into 0 7.313 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.313 * [backup-simplify]: Simplify 1.0 into 1.0 7.313 * [backup-simplify]: Simplify (+ 0 0) into 0 7.325 * [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)) 7.329 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.329 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.330 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 7.332 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.334 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N 1/3) 1)))) 2) into 0 7.335 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (pow N 1/3))))) into 0 7.336 * [backup-simplify]: Simplify (- 0) into 0 7.338 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 7.342 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 7.346 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (* 3 (log (pow N 1/3)))))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (* 3 (log (pow N 1/3))))) 7.346 * [backup-simplify]: Simplify (- (- (log (+ (/ 1 N) 1.0)) (* 2 (log (cbrt (/ 1 N))))) (log (cbrt (/ 1 N)))) into (- (log (+ (/ 1 N) 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) 7.346 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) in (N) around 0 7.346 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) in N 7.346 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.346 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.346 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.346 * [taylor]: Taking taylor expansion of N in N 7.346 * [backup-simplify]: Simplify 0 into 0 7.346 * [backup-simplify]: Simplify 1 into 1 7.347 * [backup-simplify]: Simplify (/ 1 1) into 1 7.347 * [taylor]: Taking taylor expansion of 1.0 in N 7.347 * [backup-simplify]: Simplify 1.0 into 1.0 7.347 * [backup-simplify]: Simplify (+ 1 0) into 1 7.348 * [backup-simplify]: Simplify (log 1) into 0 7.348 * [taylor]: Taking taylor expansion of (* 3 (log (pow (/ 1 N) 1/3))) in N 7.348 * [taylor]: Taking taylor expansion of 3 in N 7.348 * [backup-simplify]: Simplify 3 into 3 7.348 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 7.348 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.348 * [taylor]: Taking taylor expansion of 1/3 in N 7.348 * [backup-simplify]: Simplify 1/3 into 1/3 7.348 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.348 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.348 * [taylor]: Taking taylor expansion of N in N 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 1 into 1 7.349 * [backup-simplify]: Simplify (/ 1 1) into 1 7.349 * [backup-simplify]: Simplify (log 1) into 0 7.349 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.349 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.350 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.350 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 7.350 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) in N 7.350 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.350 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.350 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.350 * [taylor]: Taking taylor expansion of N in N 7.350 * [backup-simplify]: Simplify 0 into 0 7.350 * [backup-simplify]: Simplify 1 into 1 7.350 * [backup-simplify]: Simplify (/ 1 1) into 1 7.350 * [taylor]: Taking taylor expansion of 1.0 in N 7.350 * [backup-simplify]: Simplify 1.0 into 1.0 7.351 * [backup-simplify]: Simplify (+ 1 0) into 1 7.351 * [backup-simplify]: Simplify (log 1) into 0 7.351 * [taylor]: Taking taylor expansion of (* 3 (log (pow (/ 1 N) 1/3))) in N 7.351 * [taylor]: Taking taylor expansion of 3 in N 7.351 * [backup-simplify]: Simplify 3 into 3 7.351 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 7.351 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.351 * [taylor]: Taking taylor expansion of 1/3 in N 7.351 * [backup-simplify]: Simplify 1/3 into 1/3 7.351 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.351 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.351 * [taylor]: Taking taylor expansion of N in N 7.351 * [backup-simplify]: Simplify 0 into 0 7.351 * [backup-simplify]: Simplify 1 into 1 7.352 * [backup-simplify]: Simplify (/ 1 1) into 1 7.352 * [backup-simplify]: Simplify (log 1) into 0 7.353 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.353 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.353 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.353 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 7.354 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.354 * [backup-simplify]: Simplify (* 3 (log (pow N -1/3))) into (* 3 (log (pow N -1/3))) 7.354 * [backup-simplify]: Simplify (- (* 3 (log (pow N -1/3)))) into (- (* 3 (log (pow N -1/3)))) 7.354 * [backup-simplify]: Simplify (+ (- (log N)) (- (* 3 (log (pow N -1/3))))) into (- (+ (* 3 (log (pow N -1/3))) (log N))) 7.355 * [backup-simplify]: Simplify (- (+ (* 3 (log (pow N -1/3))) (log N))) into (- (+ (* 3 (log (pow N -1/3))) (log N))) 7.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.356 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.365 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.366 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 7.367 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N -1/3) 1)))) 1) into 0 7.369 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (log (pow N -1/3)))) into 0 7.369 * [backup-simplify]: Simplify (- 0) into 0 7.369 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.370 * [backup-simplify]: Simplify 1.0 into 1.0 7.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.371 * [backup-simplify]: Simplify (+ 0 0) into 0 7.387 * [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 7.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.391 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.392 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.393 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.394 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.396 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N -1/3) 1)))) 2) into 0 7.397 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (pow N -1/3))))) into 0 7.398 * [backup-simplify]: Simplify (- 0) into 0 7.398 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 7.399 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.400 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (+ (* 3 (log (pow (/ 1 N) -1/3))) (log (/ 1 N)))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (* 3 (log (pow (/ 1 N) -1/3))) (log (/ 1 N))))) 7.400 * [backup-simplify]: Simplify (- (- (log (+ (/ 1 (- N)) 1.0)) (* 2 (log (cbrt (/ 1 (- N)))))) (log (cbrt (/ 1 (- N))))) into (- (log (- 1.0 (/ 1 N))) (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) 7.400 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) in (N) around 0 7.400 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) in N 7.400 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.400 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.400 * [taylor]: Taking taylor expansion of 1.0 in N 7.400 * [backup-simplify]: Simplify 1.0 into 1.0 7.400 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.401 * [taylor]: Taking taylor expansion of N in N 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 1 into 1 7.401 * [backup-simplify]: Simplify (/ 1 1) into 1 7.401 * [backup-simplify]: Simplify (- 1) into -1 7.402 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.402 * [backup-simplify]: Simplify (log -1) into (log -1) 7.402 * [taylor]: Taking taylor expansion of (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) in N 7.402 * [taylor]: Taking taylor expansion of 3 in N 7.402 * [backup-simplify]: Simplify 3 into 3 7.402 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 N) 1/3))) in N 7.402 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 7.402 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.402 * [taylor]: Taking taylor expansion of -1 in N 7.402 * [backup-simplify]: Simplify -1 into -1 7.403 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.404 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.404 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.404 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.404 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.404 * [taylor]: Taking taylor expansion of 1/3 in N 7.404 * [backup-simplify]: Simplify 1/3 into 1/3 7.404 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.404 * [taylor]: Taking taylor expansion of N in N 7.404 * [backup-simplify]: Simplify 0 into 0 7.404 * [backup-simplify]: Simplify 1 into 1 7.405 * [backup-simplify]: Simplify (/ 1 1) into 1 7.405 * [backup-simplify]: Simplify (log 1) into 0 7.406 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.406 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.406 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.406 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 7.407 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow (/ 1 N) 1/3))) into (log (* (cbrt -1) (pow (/ 1 N) 1/3))) 7.407 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) in N 7.407 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.407 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.407 * [taylor]: Taking taylor expansion of 1.0 in N 7.407 * [backup-simplify]: Simplify 1.0 into 1.0 7.407 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.407 * [taylor]: Taking taylor expansion of N in N 7.407 * [backup-simplify]: Simplify 0 into 0 7.407 * [backup-simplify]: Simplify 1 into 1 7.408 * [backup-simplify]: Simplify (/ 1 1) into 1 7.408 * [backup-simplify]: Simplify (- 1) into -1 7.409 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.409 * [backup-simplify]: Simplify (log -1) into (log -1) 7.409 * [taylor]: Taking taylor expansion of (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) in N 7.409 * [taylor]: Taking taylor expansion of 3 in N 7.409 * [backup-simplify]: Simplify 3 into 3 7.409 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 N) 1/3))) in N 7.409 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 7.409 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.409 * [taylor]: Taking taylor expansion of -1 in N 7.409 * [backup-simplify]: Simplify -1 into -1 7.410 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.411 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.411 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.411 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.411 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.411 * [taylor]: Taking taylor expansion of 1/3 in N 7.411 * [backup-simplify]: Simplify 1/3 into 1/3 7.411 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.411 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.411 * [taylor]: Taking taylor expansion of N in N 7.411 * [backup-simplify]: Simplify 0 into 0 7.411 * [backup-simplify]: Simplify 1 into 1 7.411 * [backup-simplify]: Simplify (/ 1 1) into 1 7.412 * [backup-simplify]: Simplify (log 1) into 0 7.412 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.412 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.412 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.413 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 7.414 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow (/ 1 N) 1/3))) into (log (* (cbrt -1) (pow (/ 1 N) 1/3))) 7.415 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.415 * [backup-simplify]: Simplify (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) into (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) 7.416 * [backup-simplify]: Simplify (- (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) into (- (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) 7.417 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))))) into (- (log -1) (+ (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (log N))) 7.419 * [backup-simplify]: Simplify (- (log -1) (+ (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (log N))) into (- (log -1) (+ (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (log N))) 7.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.420 * [backup-simplify]: Simplify (- 0) into 0 7.420 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.430 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.430 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.431 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 7.432 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.432 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 7.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cbrt -1) (pow (/ 1 N) 1/3)) 1)))) 1) into 0 7.435 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) into 0 7.435 * [backup-simplify]: Simplify (- 0) into 0 7.436 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 7.436 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.438 * [backup-simplify]: Simplify (- 0) into 0 7.439 * [backup-simplify]: Simplify (+ 0 0) into 0 7.451 * [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 7.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.456 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.456 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.457 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.459 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.462 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 7.465 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cbrt -1) (pow (/ 1 N) 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (cbrt -1) (pow (/ 1 N) 1/3)) 1)))) 2) into 0 7.466 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))))) into 0 7.467 * [backup-simplify]: Simplify (- 0) into 0 7.467 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 7.468 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.470 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (+ (* (- 1.0) (/ 1 (- N))) (- (log -1) (+ (* 3 (log (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)))) (log (/ 1 (- N))))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (* 3 (log (* (pow (* -1 N) 1/3) (cbrt -1))))))) 7.470 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 7.470 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 7.470 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 7.470 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.470 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.470 * [taylor]: Taking taylor expansion of N in N 7.470 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 1 into 1 7.471 * [taylor]: Taking taylor expansion of 1.0 in N 7.471 * [backup-simplify]: Simplify 1.0 into 1.0 7.471 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.471 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.472 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.472 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.472 * [taylor]: Taking taylor expansion of N in N 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify 1 into 1 7.472 * [taylor]: Taking taylor expansion of 1.0 in N 7.472 * [backup-simplify]: Simplify 1.0 into 1.0 7.472 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.473 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.473 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.474 * [backup-simplify]: Simplify (+ 1 0) into 1 7.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.479 * [backup-simplify]: Simplify 1.0 into 1.0 7.480 * [backup-simplify]: Simplify (+ 0 0) into 0 7.486 * [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)) 7.487 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 7.488 * [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)))) 7.488 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 7.488 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 7.488 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.488 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.488 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.488 * [taylor]: Taking taylor expansion of N in N 7.488 * [backup-simplify]: Simplify 0 into 0 7.488 * [backup-simplify]: Simplify 1 into 1 7.489 * [backup-simplify]: Simplify (/ 1 1) into 1 7.489 * [taylor]: Taking taylor expansion of 1.0 in N 7.489 * [backup-simplify]: Simplify 1.0 into 1.0 7.489 * [backup-simplify]: Simplify (+ 1 0) into 1 7.489 * [backup-simplify]: Simplify (log 1) into 0 7.489 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.489 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.489 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.489 * [taylor]: Taking taylor expansion of N in N 7.489 * [backup-simplify]: Simplify 0 into 0 7.489 * [backup-simplify]: Simplify 1 into 1 7.490 * [backup-simplify]: Simplify (/ 1 1) into 1 7.490 * [taylor]: Taking taylor expansion of 1.0 in N 7.490 * [backup-simplify]: Simplify 1.0 into 1.0 7.490 * [backup-simplify]: Simplify (+ 1 0) into 1 7.490 * [backup-simplify]: Simplify (log 1) into 0 7.490 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.491 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 7.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.491 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.495 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.495 * [backup-simplify]: Simplify 1.0 into 1.0 7.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.496 * [backup-simplify]: Simplify (+ 0 0) into 0 7.503 * [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 7.503 * [backup-simplify]: Simplify -0.5 into -0.5 7.503 * [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)))) 7.503 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 7.503 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 7.503 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.503 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.503 * [taylor]: Taking taylor expansion of 1.0 in N 7.503 * [backup-simplify]: Simplify 1.0 into 1.0 7.503 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.503 * [taylor]: Taking taylor expansion of N in N 7.503 * [backup-simplify]: Simplify 0 into 0 7.503 * [backup-simplify]: Simplify 1 into 1 7.504 * [backup-simplify]: Simplify (/ 1 1) into 1 7.504 * [backup-simplify]: Simplify (- 1) into -1 7.504 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.504 * [backup-simplify]: Simplify (log -1) into (log -1) 7.504 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 7.504 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.504 * [taylor]: Taking taylor expansion of 1.0 in N 7.504 * [backup-simplify]: Simplify 1.0 into 1.0 7.504 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.504 * [taylor]: Taking taylor expansion of N in N 7.505 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify 1 into 1 7.505 * [backup-simplify]: Simplify (/ 1 1) into 1 7.505 * [backup-simplify]: Simplify (- 1) into -1 7.505 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.506 * [backup-simplify]: Simplify (log -1) into (log -1) 7.506 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 7.506 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 7.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.507 * [backup-simplify]: Simplify (- 0) into 0 7.507 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.515 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 7.515 * [backup-simplify]: Simplify -1.0 into -1.0 7.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.516 * [backup-simplify]: Simplify (- 0) into 0 7.521 * [backup-simplify]: Simplify (+ 0 0) into 0 7.533 * [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 7.533 * [backup-simplify]: Simplify -0.5 into -0.5 7.534 * [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)))) 7.534 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 7.535 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 7.535 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 7.535 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.535 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.535 * [taylor]: Taking taylor expansion of 1/3 in N 7.535 * [backup-simplify]: Simplify 1/3 into 1/3 7.535 * [taylor]: Taking taylor expansion of (log N) in N 7.535 * [taylor]: Taking taylor expansion of N in N 7.535 * [backup-simplify]: Simplify 0 into 0 7.535 * [backup-simplify]: Simplify 1 into 1 7.535 * [backup-simplify]: Simplify (log 1) into 0 7.536 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.536 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.536 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.536 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.536 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.536 * [taylor]: Taking taylor expansion of 1/3 in N 7.536 * [backup-simplify]: Simplify 1/3 into 1/3 7.536 * [taylor]: Taking taylor expansion of (log N) in N 7.536 * [taylor]: Taking taylor expansion of N in N 7.536 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify 1 into 1 7.537 * [backup-simplify]: Simplify (log 1) into 0 7.537 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.537 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.537 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.537 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 7.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.539 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.540 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 7.541 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.544 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.545 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 7.547 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.547 * [backup-simplify]: Simplify 0 into 0 7.553 * [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 7.553 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.554 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 7.556 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.556 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 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 7.568 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.570 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 7.572 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.572 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.591 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.593 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 7.597 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.597 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.615 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.616 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 7.620 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.620 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 7.620 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 7.620 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 7.620 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.620 * [taylor]: Taking taylor expansion of 1/3 in N 7.620 * [backup-simplify]: Simplify 1/3 into 1/3 7.620 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.620 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.620 * [taylor]: Taking taylor expansion of N in N 7.620 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify 1 into 1 7.621 * [backup-simplify]: Simplify (/ 1 1) into 1 7.621 * [backup-simplify]: Simplify (log 1) into 0 7.621 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.621 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.621 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.621 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.621 * [taylor]: Taking taylor expansion of 1/3 in N 7.621 * [backup-simplify]: Simplify 1/3 into 1/3 7.621 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.621 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.621 * [taylor]: Taking taylor expansion of N in N 7.621 * [backup-simplify]: Simplify 0 into 0 7.622 * [backup-simplify]: Simplify 1 into 1 7.622 * [backup-simplify]: Simplify (/ 1 1) into 1 7.622 * [backup-simplify]: Simplify (log 1) into 0 7.622 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.622 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.622 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.623 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 7.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.624 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.624 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.625 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 7.625 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.625 * [backup-simplify]: Simplify 0 into 0 7.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.627 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.628 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.628 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.630 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.630 * [backup-simplify]: Simplify 0 into 0 7.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.636 * [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 7.636 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.638 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 7.639 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.639 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.655 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 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 7.656 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.657 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 7.660 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.660 * [backup-simplify]: Simplify 0 into 0 7.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.679 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.680 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.682 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 7.686 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.686 * [backup-simplify]: Simplify 0 into 0 7.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.720 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.721 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.723 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 7.727 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.727 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 7.727 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 7.727 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 7.727 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 7.727 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.727 * [taylor]: Taking taylor expansion of -1 in N 7.727 * [backup-simplify]: Simplify -1 into -1 7.728 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.728 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.728 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.728 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.728 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.728 * [taylor]: Taking taylor expansion of 1/3 in N 7.728 * [backup-simplify]: Simplify 1/3 into 1/3 7.728 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.728 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.728 * [taylor]: Taking taylor expansion of N in N 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify (/ 1 1) into 1 7.729 * [backup-simplify]: Simplify (log 1) into 0 7.729 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.729 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.729 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.729 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 7.729 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.729 * [taylor]: Taking taylor expansion of -1 in N 7.729 * [backup-simplify]: Simplify -1 into -1 7.730 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.730 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.730 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.730 * [taylor]: Taking taylor expansion of 1/3 in N 7.730 * [backup-simplify]: Simplify 1/3 into 1/3 7.730 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.730 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.730 * [taylor]: Taking taylor expansion of N in N 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 1 into 1 7.730 * [backup-simplify]: Simplify (/ 1 1) into 1 7.731 * [backup-simplify]: Simplify (log 1) into 0 7.731 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.731 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.731 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.732 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 7.732 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 7.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.734 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.734 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 7.734 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.735 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.737 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.737 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.738 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.739 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.740 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 7.740 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.747 * [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 7.748 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.749 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 7.751 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.754 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 7.754 * [backup-simplify]: Simplify 0 into 0 7.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.766 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 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 7.766 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.768 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 7.771 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.773 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.775 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 7.775 * [backup-simplify]: Simplify 0 into 0 7.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.794 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.795 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.797 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 7.805 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 7.810 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 7.810 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.832 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.833 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.834 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 7.838 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.839 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.840 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 7.840 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 7.841 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1) 7.841 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 7.841 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 7.841 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.841 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.841 * [taylor]: Taking taylor expansion of 1/3 in N 7.841 * [backup-simplify]: Simplify 1/3 into 1/3 7.841 * [taylor]: Taking taylor expansion of (log N) in N 7.841 * [taylor]: Taking taylor expansion of N in N 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify 1 into 1 7.841 * [backup-simplify]: Simplify (log 1) into 0 7.842 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.842 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.842 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.842 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 7.842 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 7.842 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 7.842 * [taylor]: Taking taylor expansion of 1/3 in N 7.842 * [backup-simplify]: Simplify 1/3 into 1/3 7.842 * [taylor]: Taking taylor expansion of (log N) in N 7.842 * [taylor]: Taking taylor expansion of N in N 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 1 into 1 7.842 * [backup-simplify]: Simplify (log 1) into 0 7.842 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.843 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 7.843 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 7.843 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 7.844 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.844 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.845 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 7.845 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.845 * [backup-simplify]: Simplify 0 into 0 7.847 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.847 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.848 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 7.848 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.848 * [backup-simplify]: Simplify 0 into 0 7.851 * [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 7.852 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.852 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 7.853 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.853 * [backup-simplify]: Simplify 0 into 0 7.860 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 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 7.860 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.861 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 7.862 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.863 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.872 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.874 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 7.876 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.876 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.893 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.895 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 7.901 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.901 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 7.902 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 7.902 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 7.902 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.902 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.902 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.902 * [taylor]: Taking taylor expansion of 1/3 in N 7.902 * [backup-simplify]: Simplify 1/3 into 1/3 7.902 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.902 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.902 * [taylor]: Taking taylor expansion of N in N 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify 1 into 1 7.902 * [backup-simplify]: Simplify (/ 1 1) into 1 7.902 * [backup-simplify]: Simplify (log 1) into 0 7.903 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.903 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.903 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.903 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.903 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.903 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.903 * [taylor]: Taking taylor expansion of 1/3 in N 7.903 * [backup-simplify]: Simplify 1/3 into 1/3 7.903 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.903 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.903 * [taylor]: Taking taylor expansion of N in N 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify 1 into 1 7.903 * [backup-simplify]: Simplify (/ 1 1) into 1 7.904 * [backup-simplify]: Simplify (log 1) into 0 7.904 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.904 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.904 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.904 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 7.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.905 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.906 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.906 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 7.907 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.909 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.909 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.910 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.910 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.910 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.914 * [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 7.914 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.915 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 7.916 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.916 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.923 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 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 7.923 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.924 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 7.926 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.926 * [backup-simplify]: Simplify 0 into 0 7.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.943 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 7.944 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.946 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 7.948 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.948 * [backup-simplify]: Simplify 0 into 0 7.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.966 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 7.967 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.968 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 7.972 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 7.972 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 7.972 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 7.972 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 7.972 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.972 * [taylor]: Taking taylor expansion of -1 in N 7.972 * [backup-simplify]: Simplify -1 into -1 7.972 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.973 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.973 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.973 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.973 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.973 * [taylor]: Taking taylor expansion of 1/3 in N 7.973 * [backup-simplify]: Simplify 1/3 into 1/3 7.973 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.973 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.973 * [taylor]: Taking taylor expansion of N in N 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 1 into 1 7.973 * [backup-simplify]: Simplify (/ 1 1) into 1 7.973 * [backup-simplify]: Simplify (log 1) into 0 7.974 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.974 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.974 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.974 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 7.974 * [taylor]: Taking taylor expansion of (cbrt -1) in N 7.974 * [taylor]: Taking taylor expansion of -1 in N 7.974 * [backup-simplify]: Simplify -1 into -1 7.974 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 7.975 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 7.975 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 7.975 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 7.975 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 7.975 * [taylor]: Taking taylor expansion of 1/3 in N 7.975 * [backup-simplify]: Simplify 1/3 into 1/3 7.975 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.975 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.975 * [taylor]: Taking taylor expansion of N in N 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify 1 into 1 7.975 * [backup-simplify]: Simplify (/ 1 1) into 1 7.975 * [backup-simplify]: Simplify (log 1) into 0 7.976 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.976 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.976 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.976 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 7.977 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 7.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.978 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.978 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.979 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 7.979 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.979 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 7.980 * [backup-simplify]: Simplify 0 into 0 7.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.983 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.983 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.984 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.986 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.987 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 7.988 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 7.988 * [backup-simplify]: Simplify 0 into 0 7.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.995 * [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 7.996 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.997 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 7.999 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.002 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 8.002 * [backup-simplify]: Simplify 0 into 0 8.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.013 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 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 8.013 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.014 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 8.016 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.018 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 8.018 * [backup-simplify]: Simplify 0 into 0 8.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.029 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 8.029 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.031 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 8.033 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.035 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 8.035 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.067 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 8.067 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.070 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 8.076 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.078 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.080 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 8.080 * [backup-simplify]: Simplify 0 into 0 8.081 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 8.081 * * * [progress]: simplifying candidates 8.083 * [simplify]: Simplifying: (/ (/ (+ N 1.0) (exp (* 2 (log (cbrt N))))) (cbrt N)) (/ (exp (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (cbrt N)) (log (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (exp (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (* (cbrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (cbrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))))) (cbrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (* (* (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (sqrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (sqrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (- (pow (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) 3) (pow (log (cbrt N)) 3)) (+ (* (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (+ (* (log (cbrt N)) (log (cbrt N))) (* (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))))) (- (log (cbrt N))) (- (* (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (* (log (cbrt N)) (log (cbrt N)))) (+ (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (+ (sqrt (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (sqrt (log (cbrt N)))) (- (sqrt (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (sqrt (log (cbrt N)))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt (* (cbrt N) (cbrt N))))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt (sqrt N)))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt 1))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (sqrt (cbrt N)))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log 1)) (- (- (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (cbrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (* 2 (log (cbrt N)))) (log (cbrt N))) (+ (* 2 (log (cbrt N))) (log (cbrt N))) (- (log (cbrt N))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (* 3 (log (pow N 1/3))))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (* 3 (log (pow (/ 1 N) -1/3))) (log (/ 1 N))))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (* 3 (log (* (pow (* -1 N) 1/3) (cbrt -1))))))) (- (+ (* 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)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 8.086 * * [simplify]: Extracting # 0 : cost 0 8.087 * * [simplify]: Extracting # 1 : cost 0 8.087 * * [simplify]: Extracting # 2 : cost 0 8.087 * * [simplify]: Extracting # 3 : cost 0 8.088 * * [simplify]: Extracting # 4 : cost 0 8.088 * * [simplify]: Extracting # 5 : cost 0 8.088 * * [simplify]: Extracting # 6 : cost 0 8.089 * * [simplify]: Extracting # 7 : cost 0 8.089 * * [simplify]: Extracting # 8 : cost 0 8.089 * * [simplify]: Extracting # 9 : cost 0 8.090 * * [simplify]: iteration 0 : 141 enodes (cost 922 ) 8.149 * * [simplify]: Extracting # 0 : cost 0 8.149 * * [simplify]: Extracting # 1 : cost 0 8.150 * * [simplify]: Extracting # 2 : cost 0 8.150 * * [simplify]: Extracting # 3 : cost 0 8.150 * * [simplify]: Extracting # 4 : cost 0 8.151 * * [simplify]: Extracting # 5 : cost 0 8.151 * * [simplify]: Extracting # 6 : cost 0 8.152 * * [simplify]: iteration 1 : 326 enodes (cost 820 ) 8.291 * * [simplify]: Extracting # 0 : cost 0 8.293 * * [simplify]: Extracting # 1 : cost 0 8.295 * * [simplify]: Extracting # 2 : cost 0 8.296 * * [simplify]: Extracting # 3 : cost 0 8.298 * * [simplify]: Extracting # 4 : cost 0 8.299 * * [simplify]: iteration 2 : 815 enodes (cost 698 ) 8.930 * * [simplify]: Extracting # 0 : cost 0 8.933 * * [simplify]: Extracting # 1 : cost 0 8.936 * * [simplify]: Extracting # 2 : cost 0 8.939 * * [simplify]: Extracting # 3 : cost 0 8.943 * * [simplify]: Extracting # 4 : cost 0 8.946 * * [simplify]: iteration 3 : 2712 enodes (cost 622 ) 10.321 * * [simplify]: Extracting # 0 : cost 0 10.329 * * [simplify]: Extracting # 1 : cost 0 10.335 * * [simplify]: Extracting # 2 : cost 0 10.345 * * [simplify]: Extracting # 3 : cost 0 10.355 * * [simplify]: Extracting # 4 : cost 0 10.371 * * [simplify]: iteration done: 5000 enodes (cost 600 ) 10.372 * [simplify]: Simplified to: (/ (+ N 1.0) 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)) (* -2/3 (log N))) 3) (pow (log (cbrt N)) 3)) (+ (* (log (cbrt N)) (log (cbrt N))) (* (- (log (+ N 1.0)) (log (cbrt N))) (+ (log (+ N 1.0)) (* -2/3 (log N))))) (* -1/3 (log N)) (* (- (log (+ N 1.0)) (log (cbrt N))) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log (cbrt N))) (+ (sqrt (+ (log (+ N 1.0)) (* -2/3 (log N)))) (sqrt (log (cbrt N)))) (- (sqrt (+ (log (+ N 1.0)) (* -2/3 (log N)))) (sqrt (log (cbrt N)))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (+ (log (+ N 1.0)) (* -2/3 (log N))) (log (cbrt (pow N 2/3)))) (- (log (+ N 1.0)) (+ (* 2/3 (log N)) (log (cbrt (sqrt N))))) (+ (log (+ N 1.0)) (* -2/3 (log N))) (- (log (+ N 1.0)) (* 2 (+ (log (cbrt N)) (log (cbrt (cbrt N)))))) (- (log (+ N 1.0)) (+ (log (sqrt (cbrt N))) (* 2/3 (log N)))) (+ (log (+ N 1.0)) (* -2/3 (log N))) (- (log N)) (- (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 N) (* -1/3 (log N)) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* 1.0 (- 1.0 N)) (* N N))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (pow N 2/3)) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (+ (- (+ (* N 1.0) (* -1/2 (/ (pow N 2) (pow 1.0 2)))) (log N)) (log 1.0)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (- (+ (/ 1.0 N) (log N)) (/ 0.5 (pow N 2))) (* (log (* (cbrt (- N)) (cbrt -1))) 3)) (+ (+ (* 1.0 N) (log 1.0)) (* -1/2 (/ (pow N 2) (pow 1.0 2)))) (- (+ (/ 1.0 N) (log N)) (/ 0.5 (pow N 2))) (- (+ (/ 1.0 N) (log N)) (/ 0.5 (pow N 2))) (cbrt N) (cbrt N) (* (cbrt (- N)) (cbrt -1)) (cbrt N) (cbrt N) (* (cbrt (- N)) (cbrt -1)) 10.373 * * * [progress]: adding candidates to table 10.685 * * [progress]: iteration 4 / 4 10.685 * * * [progress]: picking best candidate 10.691 * * * * [pick]: Picked # 10.692 * * * [progress]: localizing error 10.712 * * * [progress]: generating rewritten candidates 10.712 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 10.948 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 10.964 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 10.982 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 11.040 * * * [progress]: generating series expansions 11.040 * * * * [progress]: [ 1 / 4 ] generating series at (2) 11.041 * [backup-simplify]: Simplify (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 11.041 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 11.041 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 11.041 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 11.041 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 11.042 * [taylor]: Taking taylor expansion of 1.0 in N 11.042 * [backup-simplify]: Simplify 1.0 into 1.0 11.042 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.042 * [taylor]: Taking taylor expansion of N in N 11.042 * [backup-simplify]: Simplify 0 into 0 11.042 * [backup-simplify]: Simplify 1 into 1 11.042 * [backup-simplify]: Simplify (/ 1 1) into 1 11.042 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 11.042 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.042 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.042 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 11.042 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.042 * [taylor]: Taking taylor expansion of N in N 11.042 * [backup-simplify]: Simplify 0 into 0 11.042 * [backup-simplify]: Simplify 1 into 1 11.043 * [backup-simplify]: Simplify (* 1 1) into 1 11.043 * [backup-simplify]: Simplify (* 1 1) into 1 11.043 * [backup-simplify]: Simplify (/ 1 1) into 1 11.043 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 11.043 * [taylor]: Taking taylor expansion of 0.5 in N 11.043 * [backup-simplify]: Simplify 0.5 into 0.5 11.043 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 11.043 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.043 * [taylor]: Taking taylor expansion of N in N 11.043 * [backup-simplify]: Simplify 0 into 0 11.043 * [backup-simplify]: Simplify 1 into 1 11.043 * [backup-simplify]: Simplify (* 1 1) into 1 11.044 * [backup-simplify]: Simplify (/ 1 1) into 1 11.044 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 11.044 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 11.044 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 11.044 * [taylor]: Taking taylor expansion of 1.0 in N 11.044 * [backup-simplify]: Simplify 1.0 into 1.0 11.044 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.044 * [taylor]: Taking taylor expansion of N in N 11.044 * [backup-simplify]: Simplify 0 into 0 11.044 * [backup-simplify]: Simplify 1 into 1 11.044 * [backup-simplify]: Simplify (/ 1 1) into 1 11.044 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 11.044 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.044 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.044 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 11.044 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.044 * [taylor]: Taking taylor expansion of N in N 11.044 * [backup-simplify]: Simplify 0 into 0 11.044 * [backup-simplify]: Simplify 1 into 1 11.045 * [backup-simplify]: Simplify (* 1 1) into 1 11.045 * [backup-simplify]: Simplify (* 1 1) into 1 11.045 * [backup-simplify]: Simplify (/ 1 1) into 1 11.045 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 11.045 * [taylor]: Taking taylor expansion of 0.5 in N 11.045 * [backup-simplify]: Simplify 0.5 into 0.5 11.045 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 11.045 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.045 * [taylor]: Taking taylor expansion of N in N 11.045 * [backup-simplify]: Simplify 0 into 0 11.045 * [backup-simplify]: Simplify 1 into 1 11.045 * [backup-simplify]: Simplify (* 1 1) into 1 11.046 * [backup-simplify]: Simplify (/ 1 1) into 1 11.046 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 11.046 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 11.047 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 11.047 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.049 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 11.049 * [backup-simplify]: Simplify (+ 0 0) into 0 11.049 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.049 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.050 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 11.050 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.050 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 11.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.053 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 11.053 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.054 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 11.054 * [backup-simplify]: Simplify (- 0) into 0 11.055 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.055 * [backup-simplify]: Simplify 1.0 into 1.0 11.055 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 11.056 * [backup-simplify]: Simplify (+ (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) (/ 0.3333333333333333 (pow (/ 1 N) 3))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 11.056 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 11.056 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 11.056 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 11.056 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 11.056 * [taylor]: Taking taylor expansion of 1.0 in N 11.056 * [backup-simplify]: Simplify 1.0 into 1.0 11.056 * [taylor]: Taking taylor expansion of N in N 11.056 * [backup-simplify]: Simplify 0 into 0 11.056 * [backup-simplify]: Simplify 1 into 1 11.056 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 11.056 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.056 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.056 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.056 * [taylor]: Taking taylor expansion of N in N 11.056 * [backup-simplify]: Simplify 0 into 0 11.056 * [backup-simplify]: Simplify 1 into 1 11.056 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.056 * [taylor]: Taking taylor expansion of 0.5 in N 11.056 * [backup-simplify]: Simplify 0.5 into 0.5 11.056 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.056 * [taylor]: Taking taylor expansion of N in N 11.056 * [backup-simplify]: Simplify 0 into 0 11.056 * [backup-simplify]: Simplify 1 into 1 11.056 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 11.056 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 11.056 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 11.056 * [taylor]: Taking taylor expansion of 1.0 in N 11.056 * [backup-simplify]: Simplify 1.0 into 1.0 11.056 * [taylor]: Taking taylor expansion of N in N 11.056 * [backup-simplify]: Simplify 0 into 0 11.056 * [backup-simplify]: Simplify 1 into 1 11.056 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 11.056 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.056 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.056 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.056 * [taylor]: Taking taylor expansion of N in N 11.056 * [backup-simplify]: Simplify 0 into 0 11.056 * [backup-simplify]: Simplify 1 into 1 11.056 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.056 * [taylor]: Taking taylor expansion of 0.5 in N 11.056 * [backup-simplify]: Simplify 0.5 into 0.5 11.056 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.056 * [taylor]: Taking taylor expansion of N in N 11.056 * [backup-simplify]: Simplify 0 into 0 11.056 * [backup-simplify]: Simplify 1 into 1 11.057 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.057 * [backup-simplify]: Simplify (+ 0 0) into 0 11.057 * [backup-simplify]: Simplify (+ 0 0) into 0 11.057 * [backup-simplify]: Simplify 0 into 0 11.058 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 11.058 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.059 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.059 * [backup-simplify]: Simplify 1.0 into 1.0 11.059 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 11.060 * [backup-simplify]: Simplify (+ 0 0) into 0 11.060 * [backup-simplify]: Simplify (* 1 1) into 1 11.060 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.060 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.061 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 11.061 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.062 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.062 * [backup-simplify]: Simplify (* 1 1) into 1 11.062 * [backup-simplify]: Simplify (* 1 1) into 1 11.063 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 11.063 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 11.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.064 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 11.064 * [backup-simplify]: Simplify (- 0) into 0 11.064 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 11.064 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.065 * [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)))) 11.065 * [backup-simplify]: Simplify (+ (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) (/ 0.3333333333333333 (pow (/ 1 (- N)) 3))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 11.065 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 11.065 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 11.065 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 11.065 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.065 * [taylor]: Taking taylor expansion of 0.5 in N 11.065 * [backup-simplify]: Simplify 0.5 into 0.5 11.065 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.065 * [taylor]: Taking taylor expansion of N in N 11.065 * [backup-simplify]: Simplify 0 into 0 11.065 * [backup-simplify]: Simplify 1 into 1 11.065 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 11.065 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 11.065 * [taylor]: Taking taylor expansion of 1.0 in N 11.065 * [backup-simplify]: Simplify 1.0 into 1.0 11.065 * [taylor]: Taking taylor expansion of N in N 11.065 * [backup-simplify]: Simplify 0 into 0 11.065 * [backup-simplify]: Simplify 1 into 1 11.065 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 11.065 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.066 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.066 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.066 * [taylor]: Taking taylor expansion of N in N 11.066 * [backup-simplify]: Simplify 0 into 0 11.066 * [backup-simplify]: Simplify 1 into 1 11.066 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 11.066 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 11.066 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.066 * [taylor]: Taking taylor expansion of 0.5 in N 11.066 * [backup-simplify]: Simplify 0.5 into 0.5 11.066 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.066 * [taylor]: Taking taylor expansion of N in N 11.066 * [backup-simplify]: Simplify 0 into 0 11.066 * [backup-simplify]: Simplify 1 into 1 11.066 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 11.066 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 11.066 * [taylor]: Taking taylor expansion of 1.0 in N 11.066 * [backup-simplify]: Simplify 1.0 into 1.0 11.066 * [taylor]: Taking taylor expansion of N in N 11.066 * [backup-simplify]: Simplify 0 into 0 11.066 * [backup-simplify]: Simplify 1 into 1 11.066 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 11.066 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.066 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.066 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.066 * [taylor]: Taking taylor expansion of N in N 11.066 * [backup-simplify]: Simplify 0 into 0 11.066 * [backup-simplify]: Simplify 1 into 1 11.066 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.067 * [backup-simplify]: Simplify (+ 0 0) into 0 11.067 * [backup-simplify]: Simplify (+ 0 0) into 0 11.067 * [backup-simplify]: Simplify (- 0) into 0 11.067 * [backup-simplify]: Simplify 0 into 0 11.068 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 11.069 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.069 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.069 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.069 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.070 * [backup-simplify]: Simplify (* 1 1) into 1 11.070 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.070 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 11.071 * [backup-simplify]: Simplify (+ 0 0) into 0 11.071 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 11.071 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.071 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.072 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 11.073 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.073 * [backup-simplify]: Simplify (* 1 1) into 1 11.073 * [backup-simplify]: Simplify (* 1 1) into 1 11.074 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 11.074 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 11.074 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 11.074 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 11.075 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 11.076 * [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)))) 11.076 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 11.076 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 11.076 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 11.076 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 11.076 * [taylor]: Taking taylor expansion of 0.5 in N 11.076 * [backup-simplify]: Simplify 0.5 into 0.5 11.076 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.076 * [taylor]: Taking taylor expansion of N in N 11.076 * [backup-simplify]: Simplify 0 into 0 11.076 * [backup-simplify]: Simplify 1 into 1 11.076 * [backup-simplify]: Simplify (* 1 1) into 1 11.077 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 11.077 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 11.077 * [taylor]: Taking taylor expansion of 0.5 in N 11.077 * [backup-simplify]: Simplify 0.5 into 0.5 11.077 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.077 * [taylor]: Taking taylor expansion of N in N 11.077 * [backup-simplify]: Simplify 0 into 0 11.077 * [backup-simplify]: Simplify 1 into 1 11.078 * [backup-simplify]: Simplify (* 1 1) into 1 11.078 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 11.078 * [backup-simplify]: Simplify 0.5 into 0.5 11.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 11.080 * [backup-simplify]: Simplify 0 into 0 11.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.082 * [backup-simplify]: Simplify 0 into 0 11.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.084 * [backup-simplify]: Simplify 0 into 0 11.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.086 * [backup-simplify]: Simplify 0 into 0 11.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.088 * [backup-simplify]: Simplify 0 into 0 11.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.091 * [backup-simplify]: Simplify 0 into 0 11.091 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 11.092 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 11.092 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 11.092 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.092 * [taylor]: Taking taylor expansion of 0.5 in N 11.092 * [backup-simplify]: Simplify 0.5 into 0.5 11.092 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.092 * [taylor]: Taking taylor expansion of N in N 11.092 * [backup-simplify]: Simplify 0 into 0 11.092 * [backup-simplify]: Simplify 1 into 1 11.092 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.092 * [taylor]: Taking taylor expansion of 0.5 in N 11.092 * [backup-simplify]: Simplify 0.5 into 0.5 11.092 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.092 * [taylor]: Taking taylor expansion of N in N 11.092 * [backup-simplify]: Simplify 0 into 0 11.092 * [backup-simplify]: Simplify 1 into 1 11.093 * [backup-simplify]: Simplify (* 1 1) into 1 11.093 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.093 * [backup-simplify]: Simplify 0.5 into 0.5 11.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.095 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 11.095 * [backup-simplify]: Simplify 0 into 0 11.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.103 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 11.103 * [backup-simplify]: Simplify 0 into 0 11.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.106 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.106 * [backup-simplify]: Simplify 0 into 0 11.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.109 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.109 * [backup-simplify]: Simplify 0 into 0 11.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.112 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.112 * [backup-simplify]: Simplify 0 into 0 11.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.116 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.116 * [backup-simplify]: Simplify 0 into 0 11.117 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 11.117 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 11.117 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 11.117 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.117 * [taylor]: Taking taylor expansion of 0.5 in N 11.117 * [backup-simplify]: Simplify 0.5 into 0.5 11.117 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.117 * [taylor]: Taking taylor expansion of N in N 11.117 * [backup-simplify]: Simplify 0 into 0 11.117 * [backup-simplify]: Simplify 1 into 1 11.117 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.117 * [taylor]: Taking taylor expansion of 0.5 in N 11.117 * [backup-simplify]: Simplify 0.5 into 0.5 11.117 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.117 * [taylor]: Taking taylor expansion of N in N 11.117 * [backup-simplify]: Simplify 0 into 0 11.117 * [backup-simplify]: Simplify 1 into 1 11.118 * [backup-simplify]: Simplify (* 1 1) into 1 11.120 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.120 * [backup-simplify]: Simplify 0.5 into 0.5 11.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.122 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 11.122 * [backup-simplify]: Simplify 0 into 0 11.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.124 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 11.124 * [backup-simplify]: Simplify 0 into 0 11.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.126 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.126 * [backup-simplify]: Simplify 0 into 0 11.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.128 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.129 * [backup-simplify]: Simplify 0 into 0 11.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.131 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.131 * [backup-simplify]: Simplify 0 into 0 11.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.134 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.135 * [backup-simplify]: Simplify 0 into 0 11.135 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 11.135 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 11.135 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 11.135 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 11.135 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 11.135 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.135 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.135 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.135 * [taylor]: Taking taylor expansion of N in N 11.135 * [backup-simplify]: Simplify 0 into 0 11.135 * [backup-simplify]: Simplify 1 into 1 11.136 * [backup-simplify]: Simplify (* 1 1) into 1 11.136 * [backup-simplify]: Simplify (* 1 1) into 1 11.137 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 11.137 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 11.137 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.137 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.137 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.137 * [taylor]: Taking taylor expansion of N in N 11.137 * [backup-simplify]: Simplify 0 into 0 11.137 * [backup-simplify]: Simplify 1 into 1 11.137 * [backup-simplify]: Simplify (* 1 1) into 1 11.138 * [backup-simplify]: Simplify (* 1 1) into 1 11.138 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 11.138 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 11.140 * [backup-simplify]: Simplify 0 into 0 11.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.143 * [backup-simplify]: Simplify 0 into 0 11.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.146 * [backup-simplify]: Simplify 0 into 0 11.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.150 * [backup-simplify]: Simplify 0 into 0 11.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.154 * [backup-simplify]: Simplify 0 into 0 11.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.158 * [backup-simplify]: Simplify 0 into 0 11.158 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 11.158 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 11.158 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 11.158 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 11.158 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.158 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.158 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.158 * [taylor]: Taking taylor expansion of N in N 11.158 * [backup-simplify]: Simplify 0 into 0 11.158 * [backup-simplify]: Simplify 1 into 1 11.158 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 11.159 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 11.159 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.159 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.159 * [taylor]: Taking taylor expansion of N in N 11.159 * [backup-simplify]: Simplify 0 into 0 11.159 * [backup-simplify]: Simplify 1 into 1 11.159 * [backup-simplify]: Simplify (* 1 1) into 1 11.160 * [backup-simplify]: Simplify (* 1 1) into 1 11.160 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 11.160 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 11.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.162 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 11.162 * [backup-simplify]: Simplify 0 into 0 11.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.165 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 11.165 * [backup-simplify]: Simplify 0 into 0 11.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.168 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.168 * [backup-simplify]: Simplify 0 into 0 11.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.172 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.172 * [backup-simplify]: Simplify 0 into 0 11.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.176 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.176 * [backup-simplify]: Simplify 0 into 0 11.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.181 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.181 * [backup-simplify]: Simplify 0 into 0 11.182 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 11.182 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 11.182 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 11.182 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 11.182 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 11.182 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 11.182 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.182 * [taylor]: Taking taylor expansion of N in N 11.182 * [backup-simplify]: Simplify 0 into 0 11.182 * [backup-simplify]: Simplify 1 into 1 11.182 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 11.182 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 11.182 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 11.182 * [taylor]: Taking taylor expansion of (pow N 3) in N 11.182 * [taylor]: Taking taylor expansion of N in N 11.182 * [backup-simplify]: Simplify 0 into 0 11.182 * [backup-simplify]: Simplify 1 into 1 11.183 * [backup-simplify]: Simplify (* 1 1) into 1 11.183 * [backup-simplify]: Simplify (* 1 1) into 1 11.184 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 11.184 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 11.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.186 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 11.186 * [backup-simplify]: Simplify 0 into 0 11.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.189 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 11.189 * [backup-simplify]: Simplify 0 into 0 11.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.192 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.192 * [backup-simplify]: Simplify 0 into 0 11.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.196 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.196 * [backup-simplify]: Simplify 0 into 0 11.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.200 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.200 * [backup-simplify]: Simplify 0 into 0 11.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.205 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.205 * [backup-simplify]: Simplify 0 into 0 11.205 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 11.205 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 11.206 * [backup-simplify]: Simplify (- (/ 1.0 N) (/ 0.5 (* N N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 11.206 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 11.206 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 11.206 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 11.206 * [taylor]: Taking taylor expansion of 1.0 in N 11.206 * [backup-simplify]: Simplify 1.0 into 1.0 11.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.206 * [taylor]: Taking taylor expansion of N in N 11.206 * [backup-simplify]: Simplify 0 into 0 11.206 * [backup-simplify]: Simplify 1 into 1 11.206 * [backup-simplify]: Simplify (/ 1 1) into 1 11.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 11.206 * [taylor]: Taking taylor expansion of 0.5 in N 11.206 * [backup-simplify]: Simplify 0.5 into 0.5 11.206 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 11.206 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.206 * [taylor]: Taking taylor expansion of N in N 11.206 * [backup-simplify]: Simplify 0 into 0 11.206 * [backup-simplify]: Simplify 1 into 1 11.207 * [backup-simplify]: Simplify (* 1 1) into 1 11.207 * [backup-simplify]: Simplify (/ 1 1) into 1 11.207 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 11.207 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 11.207 * [taylor]: Taking taylor expansion of 1.0 in N 11.207 * [backup-simplify]: Simplify 1.0 into 1.0 11.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 11.207 * [taylor]: Taking taylor expansion of N in N 11.207 * [backup-simplify]: Simplify 0 into 0 11.207 * [backup-simplify]: Simplify 1 into 1 11.208 * [backup-simplify]: Simplify (/ 1 1) into 1 11.208 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 11.208 * [taylor]: Taking taylor expansion of 0.5 in N 11.208 * [backup-simplify]: Simplify 0.5 into 0.5 11.208 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 11.208 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.208 * [taylor]: Taking taylor expansion of N in N 11.208 * [backup-simplify]: Simplify 0 into 0 11.208 * [backup-simplify]: Simplify 1 into 1 11.208 * [backup-simplify]: Simplify (* 1 1) into 1 11.209 * [backup-simplify]: Simplify (/ 1 1) into 1 11.209 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.210 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.210 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 11.211 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.211 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 11.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.213 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 11.214 * [backup-simplify]: Simplify (- 0) into 0 11.214 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.214 * [backup-simplify]: Simplify 1.0 into 1.0 11.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.216 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 11.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.219 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 11.219 * [backup-simplify]: Simplify (- 0) into 0 11.219 * [backup-simplify]: Simplify (+ 0 0) into 0 11.219 * [backup-simplify]: Simplify 0 into 0 11.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.221 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 11.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.224 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.225 * [backup-simplify]: Simplify (- 0) into 0 11.225 * [backup-simplify]: Simplify (+ 0 0) into 0 11.225 * [backup-simplify]: Simplify 0 into 0 11.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.227 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.231 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.231 * [backup-simplify]: Simplify (- 0) into 0 11.231 * [backup-simplify]: Simplify (+ 0 0) into 0 11.231 * [backup-simplify]: Simplify 0 into 0 11.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.234 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.237 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.238 * [backup-simplify]: Simplify (- 0) into 0 11.238 * [backup-simplify]: Simplify (+ 0 0) into 0 11.238 * [backup-simplify]: Simplify 0 into 0 11.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.241 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.245 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.245 * [backup-simplify]: Simplify (- 0) into 0 11.245 * [backup-simplify]: Simplify (+ 0 0) into 0 11.245 * [backup-simplify]: Simplify 0 into 0 11.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.247 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 11.248 * [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 11.249 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 11.249 * [backup-simplify]: Simplify (- 0) into 0 11.250 * [backup-simplify]: Simplify (+ 0 0) into 0 11.250 * [backup-simplify]: Simplify 0 into 0 11.256 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (* (- 0.5) (pow (/ 1 N) 2))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 11.256 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 N)) (/ 0.5 (* (/ 1 N) (/ 1 N)))) into (- (* 1.0 N) (* 0.5 (pow N 2))) 11.256 * [approximate]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in (N) around 0 11.256 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 11.256 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 11.256 * [taylor]: Taking taylor expansion of 1.0 in N 11.256 * [backup-simplify]: Simplify 1.0 into 1.0 11.256 * [taylor]: Taking taylor expansion of N in N 11.256 * [backup-simplify]: Simplify 0 into 0 11.256 * [backup-simplify]: Simplify 1 into 1 11.256 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.256 * [taylor]: Taking taylor expansion of 0.5 in N 11.256 * [backup-simplify]: Simplify 0.5 into 0.5 11.256 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.256 * [taylor]: Taking taylor expansion of N in N 11.256 * [backup-simplify]: Simplify 0 into 0 11.256 * [backup-simplify]: Simplify 1 into 1 11.256 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 11.256 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 11.256 * [taylor]: Taking taylor expansion of 1.0 in N 11.256 * [backup-simplify]: Simplify 1.0 into 1.0 11.256 * [taylor]: Taking taylor expansion of N in N 11.256 * [backup-simplify]: Simplify 0 into 0 11.256 * [backup-simplify]: Simplify 1 into 1 11.256 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.256 * [taylor]: Taking taylor expansion of 0.5 in N 11.256 * [backup-simplify]: Simplify 0.5 into 0.5 11.256 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.256 * [taylor]: Taking taylor expansion of N in N 11.256 * [backup-simplify]: Simplify 0 into 0 11.256 * [backup-simplify]: Simplify 1 into 1 11.257 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.257 * [backup-simplify]: Simplify (+ 0 0) into 0 11.257 * [backup-simplify]: Simplify 0 into 0 11.258 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 11.258 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.258 * [backup-simplify]: Simplify 1.0 into 1.0 11.259 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 11.259 * [backup-simplify]: Simplify (* 1 1) into 1 11.260 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.260 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.260 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 11.261 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.261 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.262 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 11.263 * [backup-simplify]: Simplify (- 0) into 0 11.263 * [backup-simplify]: Simplify (+ 0 0) into 0 11.263 * [backup-simplify]: Simplify 0 into 0 11.264 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 11.265 * [backup-simplify]: Simplify (- 0) into 0 11.265 * [backup-simplify]: Simplify (+ 0 0) into 0 11.265 * [backup-simplify]: Simplify 0 into 0 11.266 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.267 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.268 * [backup-simplify]: Simplify (- 0) into 0 11.268 * [backup-simplify]: Simplify (+ 0 0) into 0 11.268 * [backup-simplify]: Simplify 0 into 0 11.269 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 11.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.270 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.271 * [backup-simplify]: Simplify (- 0) into 0 11.271 * [backup-simplify]: Simplify (+ 0 0) into 0 11.271 * [backup-simplify]: Simplify 0 into 0 11.272 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 11.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.273 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.274 * [backup-simplify]: Simplify (- 0) into 0 11.274 * [backup-simplify]: Simplify (+ 0 0) into 0 11.274 * [backup-simplify]: Simplify 0 into 0 11.275 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 11.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.277 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.277 * [backup-simplify]: Simplify (- 0) into 0 11.277 * [backup-simplify]: Simplify (+ 0 0) into 0 11.277 * [backup-simplify]: Simplify 0 into 0 11.278 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 11.278 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- N))) (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) 11.278 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in (N) around 0 11.278 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 11.278 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 11.278 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.278 * [taylor]: Taking taylor expansion of 0.5 in N 11.278 * [backup-simplify]: Simplify 0.5 into 0.5 11.278 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.278 * [taylor]: Taking taylor expansion of N in N 11.278 * [backup-simplify]: Simplify 0 into 0 11.278 * [backup-simplify]: Simplify 1 into 1 11.278 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 11.278 * [taylor]: Taking taylor expansion of 1.0 in N 11.278 * [backup-simplify]: Simplify 1.0 into 1.0 11.278 * [taylor]: Taking taylor expansion of N in N 11.278 * [backup-simplify]: Simplify 0 into 0 11.278 * [backup-simplify]: Simplify 1 into 1 11.278 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (* 1.0 N))) in N 11.278 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (* 1.0 N)) in N 11.278 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 11.278 * [taylor]: Taking taylor expansion of 0.5 in N 11.278 * [backup-simplify]: Simplify 0.5 into 0.5 11.278 * [taylor]: Taking taylor expansion of (pow N 2) in N 11.278 * [taylor]: Taking taylor expansion of N in N 11.278 * [backup-simplify]: Simplify 0 into 0 11.278 * [backup-simplify]: Simplify 1 into 1 11.278 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 11.278 * [taylor]: Taking taylor expansion of 1.0 in N 11.279 * [backup-simplify]: Simplify 1.0 into 1.0 11.279 * [taylor]: Taking taylor expansion of N in N 11.279 * [backup-simplify]: Simplify 0 into 0 11.279 * [backup-simplify]: Simplify 1 into 1 11.279 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.279 * [backup-simplify]: Simplify (+ 0 0) into 0 11.279 * [backup-simplify]: Simplify (- 0) into 0 11.279 * [backup-simplify]: Simplify 0 into 0 11.280 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 11.281 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.281 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.281 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.281 * [backup-simplify]: Simplify (* 1 1) into 1 11.282 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.282 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 11.282 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 11.283 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.283 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 11.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.284 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 11.284 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.285 * [backup-simplify]: Simplify (+ 0 0) into 0 11.285 * [backup-simplify]: Simplify (- 0) into 0 11.285 * [backup-simplify]: Simplify 0 into 0 11.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.286 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 11.287 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.287 * [backup-simplify]: Simplify (+ 0 0) into 0 11.287 * [backup-simplify]: Simplify (- 0) into 0 11.287 * [backup-simplify]: Simplify 0 into 0 11.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.288 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.289 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.290 * [backup-simplify]: Simplify (+ 0 0) into 0 11.290 * [backup-simplify]: Simplify (- 0) into 0 11.290 * [backup-simplify]: Simplify 0 into 0 11.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.291 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.292 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 11.292 * [backup-simplify]: Simplify (+ 0 0) into 0 11.293 * [backup-simplify]: Simplify (- 0) into 0 11.293 * [backup-simplify]: Simplify 0 into 0 11.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.294 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.295 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 11.295 * [backup-simplify]: Simplify (+ 0 0) into 0 11.296 * [backup-simplify]: Simplify (- 0) into 0 11.296 * [backup-simplify]: Simplify 0 into 0 11.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.297 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.299 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 11.299 * [backup-simplify]: Simplify (+ 0 0) into 0 11.299 * [backup-simplify]: Simplify (- 0) into 0 11.299 * [backup-simplify]: Simplify 0 into 0 11.300 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N)))) into (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 11.300 * * * [progress]: simplifying candidates 11.304 * [simplify]: Simplifying: (* (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))) (exp (/ 0.3333333333333333 (pow N 3)))) (* (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (/ 0.3333333333333333 (pow N 3)))) (log (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (* (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (+ (* (- (* 1.0 (* N N)) (* N 0.5)) (pow N 3)) (* (* N (* N N)) 0.3333333333333333)) (* (* N (* N N)) (pow N 3)) (+ (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (pow N 3)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) 0.3333333333333333)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (+ (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (pow N 3)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) 0.3333333333333333)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3)) (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)))) (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* 1.0 (* N N)) (* N 0.5)) (* N (* N N)) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (- (/ 0.5 (* N N))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 11.310 * * [simplify]: Extracting # 0 : cost 0 11.311 * * [simplify]: Extracting # 1 : cost 0 11.311 * * [simplify]: Extracting # 2 : cost 0 11.312 * * [simplify]: Extracting # 3 : cost 0 11.312 * * [simplify]: Extracting # 4 : cost 0 11.313 * * [simplify]: Extracting # 5 : cost 0 11.314 * * [simplify]: Extracting # 6 : cost 0 11.314 * * [simplify]: iteration 0 : 210 enodes (cost 1847 ) 11.433 * * [simplify]: Extracting # 0 : cost 0 11.434 * * [simplify]: Extracting # 1 : cost 0 11.435 * * [simplify]: Extracting # 2 : cost 0 11.436 * * [simplify]: Extracting # 3 : cost 0 11.437 * * [simplify]: Extracting # 4 : cost 0 11.438 * * [simplify]: iteration 1 : 447 enodes (cost 1608 ) 11.736 * * [simplify]: Extracting # 0 : cost 0 11.738 * * [simplify]: Extracting # 1 : cost 0 11.740 * * [simplify]: Extracting # 2 : cost 0 11.742 * * [simplify]: Extracting # 3 : cost 0 11.744 * * [simplify]: Extracting # 4 : cost 0 11.746 * * [simplify]: iteration 2 : 1557 enodes (cost 1516 ) 12.538 * * [simplify]: Extracting # 0 : cost 0 12.544 * * [simplify]: Extracting # 1 : cost 0 12.551 * * [simplify]: Extracting # 2 : cost 0 12.558 * * [simplify]: Extracting # 3 : cost 0 12.569 * * [simplify]: iteration done: 5001 enodes (cost 1516 ) 12.570 * [simplify]: Simplified to: (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (log (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (pow (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) 3) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3)))) (* (pow N 3) (+ (* N (- (* 1.0 N) 0.5)) 0.3333333333333333)) (pow N 6) (+ (* (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N))))) 0.3333333333333333) (* (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (pow N 3))) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N))))) (pow N 3)) (+ (* (- (* (/ 1.0 N) (/ 1.0 N)) (/ (* 0.5 0.5) (pow N 4))) (pow N 3)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) 0.3333333333333333)) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3)) (+ (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6))) (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (pow (/ 0.5 (* N N)) 3) (pow (/ 0.5 (* N N)) 3) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (pow (/ 0.5 (* N N)) 3) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (pow N 2)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 3/2)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 2)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 2)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow N 2)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow N 2)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow N 2)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (pow N 2)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* N (- (* 1.0 N) 0.5)) (pow N 3) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N))))) (/ (- 0.5) (pow N 2)) (- (* (/ 1.0 N) (/ 1.0 N)) (/ (* 0.5 0.5) (pow N 4))) (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (- 0.5) (pow N 2)) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) 12.571 * * * [progress]: adding candidates to table 12.919 * [progress]: [Phase 3 of 3] Extracting. 12.919 * * [regime]: Finding splitpoints for: (# # # #) 12.921 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.921 * * * * [regimes]: Trying to branch on N from (# # # #) 12.962 * * * [regime]: Found split indices: #