22.970 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.075 * * * [progress]: [2/2] Setting up program. 0.078 * [progress]: [Phase 2 of 3] Improving. 0.078 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.078 * * [simplify]: iteration 0: 6 enodes 0.079 * * [simplify]: iteration 1: 9 enodes 0.080 * * [simplify]: iteration 2: 10 enodes 0.081 * * [simplify]: iteration complete: 10 enodes 0.081 * * [simplify]: Extracting #0: cost 1 inf + 0 0.081 * * [simplify]: Extracting #1: cost 4 inf + 0 0.081 * * [simplify]: Extracting #2: cost 6 inf + 0 0.081 * * [simplify]: Extracting #3: cost 6 inf + 1 0.081 * * [simplify]: Extracting #4: cost 0 inf + 560 0.081 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.082 * * [progress]: iteration 1 / 4 0.082 * * * [progress]: picking best candidate 0.085 * * * * [pick]: Picked # 0.085 * * * [progress]: localizing error 0.095 * * * [progress]: generating rewritten candidates 0.095 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.099 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.110 * * * [progress]: generating series expansions 0.110 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.110 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.110 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.110 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.110 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.110 * [taylor]: Taking taylor expansion of N in N 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of 1.0 in N 0.110 * [backup-simplify]: Simplify 1.0 into 1.0 0.111 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.111 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.111 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.111 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.111 * [taylor]: Taking taylor expansion of N in N 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of 1.0 in N 0.111 * [backup-simplify]: Simplify 1.0 into 1.0 0.112 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.112 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.112 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.113 * [backup-simplify]: Simplify (+ 1 0) into 1 0.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.119 * [backup-simplify]: Simplify 1.0 into 1.0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [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)) 0.146 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.147 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.147 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.147 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.147 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of N in N 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of 1.0 in N 0.148 * [backup-simplify]: Simplify 1.0 into 1.0 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [backup-simplify]: Simplify (log 1) into 0 0.148 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.148 * [taylor]: Taking taylor expansion of N in N 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of 1.0 in N 0.149 * [backup-simplify]: Simplify 1.0 into 1.0 0.149 * [backup-simplify]: Simplify (+ 1 0) into 1 0.149 * [backup-simplify]: Simplify (log 1) into 0 0.150 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.150 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.155 * [backup-simplify]: Simplify 1.0 into 1.0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.162 * [backup-simplify]: Simplify -0.5 into -0.5 0.163 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.163 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.163 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.163 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.163 * [taylor]: Taking taylor expansion of 1.0 in N 0.163 * [backup-simplify]: Simplify 1.0 into 1.0 0.163 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [backup-simplify]: Simplify (- 1) into -1 0.164 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.164 * [backup-simplify]: Simplify (log -1) into (log -1) 0.164 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.164 * [taylor]: Taking taylor expansion of 1.0 in N 0.164 * [backup-simplify]: Simplify 1.0 into 1.0 0.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [backup-simplify]: Simplify (- 1) into -1 0.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.165 * [backup-simplify]: Simplify (log -1) into (log -1) 0.166 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.166 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.173 * [backup-simplify]: Simplify -1.0 into -1.0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [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 0.187 * [backup-simplify]: Simplify -0.5 into -0.5 0.187 * [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)))) 0.187 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.188 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.188 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.188 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.188 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.188 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of 1.0 in N 0.188 * [backup-simplify]: Simplify 1.0 into 1.0 0.188 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.189 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.189 * [taylor]: Taking taylor expansion of (log N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (log 1) into 0 0.189 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.189 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.189 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [backup-simplify]: Simplify 1.0 into 1.0 0.190 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.190 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.190 * [taylor]: Taking taylor expansion of (log N) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (log 1) into 0 0.191 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.191 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.192 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.192 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.193 * [backup-simplify]: Simplify (+ 1 0) into 1 0.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.200 * [backup-simplify]: Simplify 1.0 into 1.0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [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)) 0.212 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.212 * [backup-simplify]: Simplify (- 0) into 0 0.214 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.217 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.220 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.220 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.221 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.221 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.221 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.221 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.221 * [taylor]: Taking taylor expansion of N in N 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [taylor]: Taking taylor expansion of 1.0 in N 0.221 * [backup-simplify]: Simplify 1.0 into 1.0 0.222 * [backup-simplify]: Simplify (+ 1 0) into 1 0.222 * [backup-simplify]: Simplify (log 1) into 0 0.222 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.222 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.222 * [taylor]: Taking taylor expansion of N in N 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [backup-simplify]: Simplify (log 1) into 0 0.223 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.223 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.223 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.223 * [taylor]: Taking taylor expansion of N in N 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [taylor]: Taking taylor expansion of 1.0 in N 0.223 * [backup-simplify]: Simplify 1.0 into 1.0 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.224 * [backup-simplify]: Simplify (log 1) into 0 0.224 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.224 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.224 * [taylor]: Taking taylor expansion of N in N 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [backup-simplify]: Simplify (log 1) into 0 0.226 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.226 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.226 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.226 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.238 * [backup-simplify]: Simplify 1.0 into 1.0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.253 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.253 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [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 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [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 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.275 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.276 * [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)))) 0.276 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.276 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.276 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.276 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.276 * [taylor]: Taking taylor expansion of 1.0 in N 0.276 * [backup-simplify]: Simplify 1.0 into 1.0 0.276 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.276 * [taylor]: Taking taylor expansion of N in N 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [backup-simplify]: Simplify (- 1) into -1 0.278 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.278 * [backup-simplify]: Simplify (log -1) into (log -1) 0.278 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.278 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.278 * [taylor]: Taking taylor expansion of -1 in N 0.278 * [backup-simplify]: Simplify -1 into -1 0.278 * [taylor]: Taking taylor expansion of N in N 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ -1 1) into -1 0.279 * [backup-simplify]: Simplify (log -1) into (log -1) 0.279 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.279 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.279 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.279 * [taylor]: Taking taylor expansion of 1.0 in N 0.279 * [backup-simplify]: Simplify 1.0 into 1.0 0.279 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.279 * [taylor]: Taking taylor expansion of N in N 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [backup-simplify]: Simplify (- 1) into -1 0.281 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.281 * [backup-simplify]: Simplify (log -1) into (log -1) 0.281 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.281 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.281 * [taylor]: Taking taylor expansion of -1 in N 0.281 * [backup-simplify]: Simplify -1 into -1 0.281 * [taylor]: Taking taylor expansion of N in N 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ -1 1) into -1 0.282 * [backup-simplify]: Simplify (log -1) into (log -1) 0.283 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.284 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.284 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.285 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.298 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [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 0.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.312 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [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 0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [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 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.328 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.329 * [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)))) 0.329 * * * [progress]: simplifying candidates 0.330 * [simplify]: Simplifying: (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))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.331 * * [simplify]: iteration 0: 101 enodes 0.363 * * [simplify]: iteration 1: 213 enodes 0.443 * * [simplify]: iteration 2: 645 enodes 0.849 * * [simplify]: iteration 3: 2789 enodes 1.556 * * [simplify]: iteration complete: 5000 enodes 1.556 * * [simplify]: Extracting #0: cost 39 inf + 0 1.557 * * [simplify]: Extracting #1: cost 226 inf + 1 1.559 * * [simplify]: Extracting #2: cost 1205 inf + 2218 1.570 * * [simplify]: Extracting #3: cost 1055 inf + 66032 1.608 * * [simplify]: Extracting #4: cost 281 inf + 165283 1.659 * * [simplify]: Extracting #5: cost 84 inf + 204729 1.725 * * [simplify]: Extracting #6: cost 48 inf + 215212 1.785 * * [simplify]: Extracting #7: cost 11 inf + 221055 1.827 * * [simplify]: Extracting #8: cost 0 inf + 223838 1.867 * [simplify]: Simplified to: (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) 0 (log (+ 1.0 N)) 0 (log (+ 1.0 N)) (log (+ (* (* N N) N) (* (* 1.0 1.0) 1.0))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (* (+ N 1.0) (- N 1.0))) (log (- N 1.0)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (+ 1.0 N) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (/ (+ 1.0 N) N) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (* (* (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (* (log N) (* (log N) (log N)))) (+ (* (log N) (+ (log (+ 1.0 N)) (log N))) (* (log (+ 1.0 N)) (log (+ 1.0 N)))) (- (log N)) (* (+ (log N) (log (+ 1.0 N))) (- (log (+ 1.0 N)) (log N))) (+ (log N) (log (+ 1.0 N))) (+ (sqrt (log N)) (sqrt (log (+ 1.0 N)))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (- (log (+ 1.0 N)) (log (cbrt N))) (log (cbrt N))) (- (log (+ 1.0 N)) (log (sqrt N))) (log (+ 1.0 N)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log N) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (log 1.0) (* N 1.0)) (* (/ N 1.0) (* (/ N 1.0) 1/2))) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (- (+ (log 1.0) (* N 1.0)) (+ (log N) (* (/ N 1.0) (* (/ N 1.0) 1/2)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) 1.869 * * * [progress]: adding candidates to table 2.118 * * [progress]: iteration 2 / 4 2.118 * * * [progress]: picking best candidate 2.132 * * * * [pick]: Picked # 2.132 * * * [progress]: localizing error 2.153 * * * [progress]: generating rewritten candidates 2.153 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.207 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.219 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 2.231 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.331 * * * [progress]: generating series expansions 2.331 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.331 * [backup-simplify]: Simplify (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 2.331 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in (N) around 0 2.331 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.331 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.331 * [taylor]: Taking taylor expansion of 0.5 in N 2.331 * [backup-simplify]: Simplify 0.5 into 0.5 2.331 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.331 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.332 * [taylor]: Taking taylor expansion of N in N 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (* 1 1) into 1 2.333 * [backup-simplify]: Simplify (/ 1 1) into 1 2.333 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.333 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.333 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.333 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.333 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.333 * [taylor]: Taking taylor expansion of N in N 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 1 into 1 2.333 * [backup-simplify]: Simplify (* 1 1) into 1 2.334 * [backup-simplify]: Simplify (* 1 1) into 1 2.334 * [backup-simplify]: Simplify (/ 1 1) into 1 2.334 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.334 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.334 * [taylor]: Taking taylor expansion of 0.5 in N 2.334 * [backup-simplify]: Simplify 0.5 into 0.5 2.334 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.334 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.334 * [taylor]: Taking taylor expansion of N in N 2.334 * [backup-simplify]: Simplify 0 into 0 2.334 * [backup-simplify]: Simplify 1 into 1 2.335 * [backup-simplify]: Simplify (* 1 1) into 1 2.335 * [backup-simplify]: Simplify (/ 1 1) into 1 2.335 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.335 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.335 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.335 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.335 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.335 * [taylor]: Taking taylor expansion of N in N 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify 1 into 1 2.336 * [backup-simplify]: Simplify (* 1 1) into 1 2.336 * [backup-simplify]: Simplify (* 1 1) into 1 2.337 * [backup-simplify]: Simplify (/ 1 1) into 1 2.337 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.337 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.338 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 2.339 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.339 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.342 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.342 * [backup-simplify]: Simplify (- 0) into 0 2.343 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 2.343 * [backup-simplify]: Simplify 0.5 into 0.5 2.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.345 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.349 * [backup-simplify]: Simplify (- 0) into 0 2.349 * [backup-simplify]: Simplify (+ 0 0) into 0 2.349 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.351 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.354 * [backup-simplify]: Simplify (- 0) into 0 2.354 * [backup-simplify]: Simplify (+ 0 0) into 0 2.354 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.359 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.359 * [backup-simplify]: Simplify (- 0) into 0 2.359 * [backup-simplify]: Simplify (+ 0 0) into 0 2.359 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.364 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.364 * [backup-simplify]: Simplify (- 0) into 0 2.365 * [backup-simplify]: Simplify (+ 0 0) into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.367 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.373 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.373 * [backup-simplify]: Simplify (- 0) into 0 2.373 * [backup-simplify]: Simplify (+ 0 0) into 0 2.373 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.376 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.382 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.382 * [backup-simplify]: Simplify (- 0) into 0 2.382 * [backup-simplify]: Simplify (+ 0 0) into 0 2.382 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify (+ (* 0.5 (pow (/ 1 N) 2)) (* (- 0.3333333333333333) (pow (/ 1 N) 3))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 2.384 * [backup-simplify]: Simplify (- (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N)))) into (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) 2.384 * [approximate]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in (N) around 0 2.384 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 2.384 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.384 * [taylor]: Taking taylor expansion of 0.5 in N 2.384 * [backup-simplify]: Simplify 0.5 into 0.5 2.384 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.384 * [taylor]: Taking taylor expansion of N in N 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify 1 into 1 2.384 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.384 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.384 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.384 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.384 * [taylor]: Taking taylor expansion of N in N 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify 1 into 1 2.385 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 2.385 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.385 * [taylor]: Taking taylor expansion of 0.5 in N 2.385 * [backup-simplify]: Simplify 0.5 into 0.5 2.385 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.385 * [taylor]: Taking taylor expansion of N in N 2.385 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify 1 into 1 2.385 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.385 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.385 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.385 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.385 * [taylor]: Taking taylor expansion of N in N 2.385 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify 1 into 1 2.386 * [backup-simplify]: Simplify (* 1 1) into 1 2.386 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.387 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 2.387 * [backup-simplify]: Simplify 0.5 into 0.5 2.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.388 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.388 * [backup-simplify]: Simplify (* 1 1) into 1 2.389 * [backup-simplify]: Simplify (* 1 1) into 1 2.389 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.390 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.391 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 2.391 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.393 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.395 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.396 * [backup-simplify]: Simplify (- 0) into 0 2.396 * [backup-simplify]: Simplify (+ 0 0) into 0 2.396 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.399 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.402 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.402 * [backup-simplify]: Simplify (- 0) into 0 2.402 * [backup-simplify]: Simplify (+ 0 0) into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.406 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.410 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.410 * [backup-simplify]: Simplify (- 0) into 0 2.411 * [backup-simplify]: Simplify (+ 0 0) into 0 2.411 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.414 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.418 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.418 * [backup-simplify]: Simplify (- 0) into 0 2.419 * [backup-simplify]: Simplify (+ 0 0) into 0 2.419 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.421 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.424 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.424 * [backup-simplify]: Simplify (- 0) into 0 2.424 * [backup-simplify]: Simplify (+ 0 0) into 0 2.425 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.427 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.430 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.430 * [backup-simplify]: Simplify (- 0) into 0 2.430 * [backup-simplify]: Simplify (+ 0 0) into 0 2.430 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 N) 3)) (* 0.5 (pow (/ 1 N) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 2.431 * [backup-simplify]: Simplify (- (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))) into (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 2.431 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 2.431 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 2.431 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.431 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.431 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.431 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.431 * [taylor]: Taking taylor expansion of N in N 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 1 into 1 2.431 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.431 * [taylor]: Taking taylor expansion of 0.5 in N 2.431 * [backup-simplify]: Simplify 0.5 into 0.5 2.431 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.431 * [taylor]: Taking taylor expansion of N in N 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 1 into 1 2.431 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 2.432 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.432 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.432 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.432 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.432 * [taylor]: Taking taylor expansion of N in N 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 1 into 1 2.432 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.432 * [taylor]: Taking taylor expansion of 0.5 in N 2.432 * [backup-simplify]: Simplify 0.5 into 0.5 2.432 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.432 * [taylor]: Taking taylor expansion of N in N 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 1 into 1 2.432 * [backup-simplify]: Simplify (* 1 1) into 1 2.432 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.433 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 2.433 * [backup-simplify]: Simplify 0.5 into 0.5 2.433 * [backup-simplify]: Simplify (* 1 1) into 1 2.433 * [backup-simplify]: Simplify (* 1 1) into 1 2.433 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.434 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.435 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.435 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.436 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.437 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.437 * [backup-simplify]: Simplify (+ 0 0) into 0 2.437 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.439 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.440 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.441 * [backup-simplify]: Simplify (+ 0 0) into 0 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.443 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.444 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.444 * [backup-simplify]: Simplify (+ 0 0) into 0 2.444 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.447 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.448 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.448 * [backup-simplify]: Simplify (+ 0 0) into 0 2.448 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.452 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.455 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.456 * [backup-simplify]: Simplify (+ 0 0) into 0 2.456 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.460 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.464 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 (- N)) 3)) (* 0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 2.465 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.465 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 2.466 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 2.466 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 2.466 * [taylor]: Taking taylor expansion of 0.5 in N 2.466 * [backup-simplify]: Simplify 0.5 into 0.5 2.466 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.466 * [taylor]: Taking taylor expansion of N in N 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [backup-simplify]: Simplify (* 1 1) into 1 2.467 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.467 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 2.467 * [taylor]: Taking taylor expansion of 0.5 in N 2.467 * [backup-simplify]: Simplify 0.5 into 0.5 2.467 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.467 * [taylor]: Taking taylor expansion of N in N 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 1 into 1 2.467 * [backup-simplify]: Simplify (* 1 1) into 1 2.468 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.468 * [backup-simplify]: Simplify 0.5 into 0.5 2.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.473 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.475 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.480 * [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 2.480 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 2.481 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 2.481 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 2.481 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.481 * [taylor]: Taking taylor expansion of 0.5 in N 2.481 * [backup-simplify]: Simplify 0.5 into 0.5 2.481 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.481 * [taylor]: Taking taylor expansion of N in N 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify 1 into 1 2.481 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.481 * [taylor]: Taking taylor expansion of 0.5 in N 2.481 * [backup-simplify]: Simplify 0.5 into 0.5 2.481 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.481 * [taylor]: Taking taylor expansion of N in N 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify 1 into 1 2.482 * [backup-simplify]: Simplify (* 1 1) into 1 2.482 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.482 * [backup-simplify]: Simplify 0.5 into 0.5 2.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.483 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.485 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.485 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.488 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.490 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.490 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.493 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.498 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.498 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 2.499 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 2.499 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 2.499 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.499 * [taylor]: Taking taylor expansion of 0.5 in N 2.499 * [backup-simplify]: Simplify 0.5 into 0.5 2.499 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.499 * [taylor]: Taking taylor expansion of N in N 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 1 into 1 2.499 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.499 * [taylor]: Taking taylor expansion of 0.5 in N 2.499 * [backup-simplify]: Simplify 0.5 into 0.5 2.499 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.499 * [taylor]: Taking taylor expansion of N in N 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 1 into 1 2.500 * [backup-simplify]: Simplify (* 1 1) into 1 2.500 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.500 * [backup-simplify]: Simplify 0.5 into 0.5 2.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.501 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.502 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.502 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.503 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.503 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.505 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.507 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.508 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 2.509 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 2.509 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 N) (* N N)) into (/ 0.3333333333333333 (pow N 3)) 2.509 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 2.509 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 2.509 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.509 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.509 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.509 * [taylor]: Taking taylor expansion of N in N 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify 1 into 1 2.509 * [backup-simplify]: Simplify (* 1 1) into 1 2.510 * [backup-simplify]: Simplify (* 1 1) into 1 2.510 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 2.510 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 2.510 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.510 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.510 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.510 * [taylor]: Taking taylor expansion of N in N 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [backup-simplify]: Simplify (* 1 1) into 1 2.510 * [backup-simplify]: Simplify (* 1 1) into 1 2.511 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 2.511 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 2.512 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.514 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.516 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.518 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.520 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.523 * [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 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 2.523 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (* 0.3333333333333333 (pow N 3)) 2.523 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 2.523 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.523 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.523 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.523 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.523 * [taylor]: Taking taylor expansion of N in N 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 1 into 1 2.523 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.523 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.523 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.523 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.523 * [taylor]: Taking taylor expansion of N in N 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 1 into 1 2.524 * [backup-simplify]: Simplify (* 1 1) into 1 2.524 * [backup-simplify]: Simplify (* 1 1) into 1 2.524 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.524 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.526 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.527 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.527 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.530 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.530 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.534 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.538 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.542 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 2.543 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -0.3333333333333333 (pow N 3)) 2.543 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 2.543 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 2.543 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 2.543 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.543 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.543 * [taylor]: Taking taylor expansion of N in N 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 1 into 1 2.543 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 2.543 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 2.543 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.543 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.543 * [taylor]: Taking taylor expansion of N in N 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 1 into 1 2.544 * [backup-simplify]: Simplify (* 1 1) into 1 2.544 * [backup-simplify]: Simplify (* 1 1) into 1 2.544 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 2.544 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.546 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.549 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.549 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.552 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.552 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.555 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.555 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.559 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.563 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 2.563 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.564 * [backup-simplify]: Simplify (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 2.564 * [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 2.564 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 2.564 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.564 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.564 * [taylor]: Taking taylor expansion of 1.0 in N 2.564 * [backup-simplify]: Simplify 1.0 into 1.0 2.564 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.564 * [taylor]: Taking taylor expansion of N in N 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify 1 into 1 2.564 * [backup-simplify]: Simplify (/ 1 1) into 1 2.564 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.564 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.565 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.565 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.565 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.565 * [taylor]: Taking taylor expansion of N in N 2.565 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify 1 into 1 2.565 * [backup-simplify]: Simplify (* 1 1) into 1 2.566 * [backup-simplify]: Simplify (* 1 1) into 1 2.566 * [backup-simplify]: Simplify (/ 1 1) into 1 2.566 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.566 * [taylor]: Taking taylor expansion of 0.5 in N 2.566 * [backup-simplify]: Simplify 0.5 into 0.5 2.566 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.566 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.566 * [taylor]: Taking taylor expansion of N in N 2.566 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify 1 into 1 2.567 * [backup-simplify]: Simplify (* 1 1) into 1 2.567 * [backup-simplify]: Simplify (/ 1 1) into 1 2.567 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 2.567 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.567 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.567 * [taylor]: Taking taylor expansion of 1.0 in N 2.567 * [backup-simplify]: Simplify 1.0 into 1.0 2.567 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.567 * [taylor]: Taking taylor expansion of N in N 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.568 * [backup-simplify]: Simplify (/ 1 1) into 1 2.568 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.568 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.568 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.568 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.568 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.568 * [taylor]: Taking taylor expansion of N in N 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.568 * [backup-simplify]: Simplify (* 1 1) into 1 2.568 * [backup-simplify]: Simplify (* 1 1) into 1 2.569 * [backup-simplify]: Simplify (/ 1 1) into 1 2.569 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.569 * [taylor]: Taking taylor expansion of 0.5 in N 2.569 * [backup-simplify]: Simplify 0.5 into 0.5 2.569 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.569 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.569 * [taylor]: Taking taylor expansion of N in N 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 1 into 1 2.569 * [backup-simplify]: Simplify (* 1 1) into 1 2.570 * [backup-simplify]: Simplify (/ 1 1) into 1 2.570 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.571 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.571 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.571 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.574 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.574 * [backup-simplify]: Simplify (+ 0 0) into 0 2.575 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.575 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.576 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.576 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.577 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.582 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.582 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.585 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.585 * [backup-simplify]: Simplify (- 0) into 0 2.585 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.585 * [backup-simplify]: Simplify 1.0 into 1.0 2.586 * [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)))) 2.587 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 N)) (- (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 2.587 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 2.587 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 2.587 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.587 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.587 * [taylor]: Taking taylor expansion of 1.0 in N 2.587 * [backup-simplify]: Simplify 1.0 into 1.0 2.587 * [taylor]: Taking taylor expansion of N in N 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify 1 into 1 2.587 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.587 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.587 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.587 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.587 * [taylor]: Taking taylor expansion of N in N 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify 1 into 1 2.587 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.587 * [taylor]: Taking taylor expansion of 0.5 in N 2.587 * [backup-simplify]: Simplify 0.5 into 0.5 2.587 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.588 * [taylor]: Taking taylor expansion of N in N 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 2.588 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.588 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.588 * [taylor]: Taking taylor expansion of 1.0 in N 2.588 * [backup-simplify]: Simplify 1.0 into 1.0 2.588 * [taylor]: Taking taylor expansion of N in N 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.588 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.588 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.588 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.588 * [taylor]: Taking taylor expansion of N in N 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.588 * [taylor]: Taking taylor expansion of 0.5 in N 2.588 * [backup-simplify]: Simplify 0.5 into 0.5 2.588 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.588 * [taylor]: Taking taylor expansion of N in N 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.589 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.589 * [backup-simplify]: Simplify (+ 0 0) into 0 2.590 * [backup-simplify]: Simplify (+ 0 0) into 0 2.590 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.592 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.592 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.592 * [backup-simplify]: Simplify 1.0 into 1.0 2.593 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.593 * [backup-simplify]: Simplify (+ 0 0) into 0 2.594 * [backup-simplify]: Simplify (* 1 1) into 1 2.594 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.595 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.596 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.596 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.597 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.597 * [backup-simplify]: Simplify (* 1 1) into 1 2.598 * [backup-simplify]: Simplify (* 1 1) into 1 2.598 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.599 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.600 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.600 * [backup-simplify]: Simplify (- 0) into 0 2.601 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.601 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.602 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.603 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- N))) (- (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 2.603 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 2.603 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 2.603 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 2.603 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.603 * [taylor]: Taking taylor expansion of 0.5 in N 2.603 * [backup-simplify]: Simplify 0.5 into 0.5 2.603 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.603 * [taylor]: Taking taylor expansion of N in N 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 1 into 1 2.603 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.603 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.603 * [taylor]: Taking taylor expansion of 1.0 in N 2.603 * [backup-simplify]: Simplify 1.0 into 1.0 2.603 * [taylor]: Taking taylor expansion of N in N 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 1 into 1 2.603 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.603 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.603 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.603 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.603 * [taylor]: Taking taylor expansion of N in N 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 1 into 1 2.604 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 2.604 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 2.604 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.604 * [taylor]: Taking taylor expansion of 0.5 in N 2.604 * [backup-simplify]: Simplify 0.5 into 0.5 2.604 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.604 * [taylor]: Taking taylor expansion of N in N 2.604 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify 1 into 1 2.604 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.604 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.604 * [taylor]: Taking taylor expansion of 1.0 in N 2.604 * [backup-simplify]: Simplify 1.0 into 1.0 2.604 * [taylor]: Taking taylor expansion of N in N 2.604 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify 1 into 1 2.604 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.604 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.604 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.604 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.604 * [taylor]: Taking taylor expansion of N in N 2.604 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify 1 into 1 2.605 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.605 * [backup-simplify]: Simplify (+ 0 0) into 0 2.605 * [backup-simplify]: Simplify (+ 0 0) into 0 2.606 * [backup-simplify]: Simplify (- 0) into 0 2.606 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.608 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.608 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.609 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.609 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.610 * [backup-simplify]: Simplify (* 1 1) into 1 2.610 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.611 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.611 * [backup-simplify]: Simplify (+ 0 0) into 0 2.612 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 2.612 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.613 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.614 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.616 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.616 * [backup-simplify]: Simplify (* 1 1) into 1 2.616 * [backup-simplify]: Simplify (* 1 1) into 1 2.617 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.617 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.618 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.618 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.619 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.620 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.620 * * * [progress]: simplifying candidates 2.630 * [simplify]: Simplifying: (/ (exp (/ 0.5 (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N)))) (log (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (exp (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (* (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- 0.5 (/ 0.3333333333333333 N)) (- (* 0.5 (* N N)) (* (* N N) (/ 0.3333333333333333 N))) (* (* N N) (* N N)) (- (pow (/ 0.5 (* N N)) 3) (pow (/ (/ 0.3333333333333333 N) (* N N)) 3)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ (/ 0.3333333333333333 N) (* N N))) (- (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (sqrt (/ 0.5 (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (- (sqrt (/ 0.5 (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (sqrt (/ 0.5 (* N N))) (/ (sqrt (/ 0.3333333333333333 N)) N)) (+ (sqrt (/ 0.5 (* N N))) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (sqrt (/ 0.5 (* N N))) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (+ (/ (sqrt 0.5) N) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ (sqrt 0.5) N) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (+ (/ (sqrt 0.5) N) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (/ (sqrt 0.5) N) (/ (sqrt (/ 0.3333333333333333 N)) N)) (+ (/ (sqrt 0.5) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (/ (sqrt 0.5) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (/ 0.5 N) (/ (/ 0.3333333333333333 N) N)) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- 0.5 (/ 0.3333333333333333 N)) (- (/ (/ 0.3333333333333333 N) (* N N))) (- (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)) (+ (log N) (log N))) (- (- (log 0.3333333333333333) (log N)) (log (* N N))) (- (log (/ 0.3333333333333333 N)) (+ (log N) (log N))) (- (log (/ 0.3333333333333333 N)) (log (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) N) (* (* N N) N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) (* N N)) (* N N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) N) (* (* N N) N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.3333333333333333 N)) (- (* N N)) (/ (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) N) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) N) (/ (/ (cbrt 0.3333333333333333) (sqrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) N) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) N) (/ (/ (sqrt 0.3333333333333333) (cbrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) 1) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 0.3333333333333333 (sqrt N)) N) (/ (/ 1 1) N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ 1 (* N N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ (* N N) (sqrt (/ 0.3333333333333333 N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) N)) (/ (* N N) (/ (sqrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) N)) (/ (* N N) (/ 0.3333333333333333 (cbrt N))) (/ (* N N) (/ 0.3333333333333333 (sqrt N))) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 1 N)) (* (* N N) N) (/ (exp (/ 1.0 N)) (/ (exp (/ 0.5 (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))))) (/ (exp (/ 1.0 N)) (exp (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (log (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (exp (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (* (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (* (* (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (sqrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (sqrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (* 1.0 (* N N)) (* N (- 0.5 (/ 0.3333333333333333 N)))) (* N (* N N)) (- (* 1.0 (* (* N N) (* N N))) (* N (- (* 0.5 (* N N)) (* (* N N) (/ 0.3333333333333333 N))))) (* N (* (* N N) (* N N))) (- (* 1.0 (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (* N (- (pow (/ 0.5 (* N N)) 3) (pow (/ (/ 0.3333333333333333 N) (* N N)) 3)))) (* N (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (- (* 1.0 (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* N (- (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (* N (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (pow (/ 1.0 N) 3) (pow (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (- (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (+ (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (sqrt (/ 1.0 N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (sqrt (/ 1.0 N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (/ 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)) (* 0.3333333333333333 (/ 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)))) 2.636 * * [simplify]: iteration 0: 223 enodes 2.690 * * [simplify]: iteration 1: 602 enodes 3.321 * * [simplify]: iteration 2: 3082 enodes 4.261 * * [simplify]: iteration complete: 5000 enodes 4.261 * * [simplify]: Extracting #0: cost 112 inf + 0 4.264 * * [simplify]: Extracting #1: cost 865 inf + 0 4.276 * * [simplify]: Extracting #2: cost 2298 inf + 10421 4.307 * * [simplify]: Extracting #3: cost 1186 inf + 180483 4.381 * * [simplify]: Extracting #4: cost 175 inf + 350132 4.487 * * [simplify]: Extracting #5: cost 12 inf + 381392 4.575 * * [simplify]: Extracting #6: cost 0 inf + 384346 4.685 * * [simplify]: Extracting #7: cost 0 inf + 384266 4.774 * [simplify]: Simplified to: (exp (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (log (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (exp (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (* (cbrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- 0.5 (/ 0.3333333333333333 N)) (- (* 0.5 (* N N)) (* (/ 0.3333333333333333 N) (* N N))) (* (* N N) (* N N)) (- (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N))) (+ (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)))) (/ (- 0.3333333333333333) (* N (* N N))) (* (+ (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (+ (sqrt (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (- (sqrt (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (+ (sqrt (/ (/ 0.5 N) N)) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (sqrt (/ (/ 0.5 N) N)) (/ (sqrt (/ 0.3333333333333333 N)) N)) (+ (sqrt (/ (/ 0.5 N) N)) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (sqrt (/ (/ 0.5 N) N)) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (+ (/ (sqrt 0.5) N) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ (sqrt 0.5) N) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (+ (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.5) N) (/ (sqrt (/ 0.3333333333333333 N)) N)) (+ (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.5) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (/ 0.5 N) (/ (/ 0.3333333333333333 N) N)) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- 0.5 (/ 0.3333333333333333 N)) (/ (- 0.3333333333333333) (* N (* N N))) (log (/ (/ 0.5 N) N)) (log (/ (/ 0.5 N) N)) (log (/ (/ 0.5 N) N)) (exp (/ (/ 0.5 N) N)) (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 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 (/ 0.5 N)) (/ 0.5 N) (/ N (/ (cbrt 0.5) N)) (* (/ N (sqrt 0.5)) N) (/ N (/ 0.5 N)) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (- 0.3333333333333333) N) (- (* N N)) (* (/ (cbrt (/ 0.3333333333333333 N)) N) (cbrt (/ 0.3333333333333333 N))) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) (/ N (/ (cbrt 0.3333333333333333) (cbrt N)))) (/ (cbrt 0.3333333333333333) (* (cbrt N) N)) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (cbrt 0.3333333333333333) (* N (sqrt N))) (/ (cbrt 0.3333333333333333) (/ N (cbrt 0.3333333333333333))) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) N) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.3333333333333333) (cbrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ (/ 1 (cbrt N)) (cbrt N)) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ 1 (* N (sqrt N))) (/ 0.3333333333333333 (* N (sqrt N))) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ (/ 1 N) N) (* (/ N (/ 0.3333333333333333 N)) N) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ (* N N) (sqrt (/ 0.3333333333333333 N))) (* (/ (* N N) (cbrt 0.3333333333333333)) (cbrt N)) (/ (* (* N N) (sqrt N)) (cbrt 0.3333333333333333)) (* (/ N (cbrt 0.3333333333333333)) (* N N)) (* (/ N (sqrt 0.3333333333333333)) (* (cbrt N) N)) (/ N (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (* N (/ N (/ (sqrt 0.3333333333333333) N))) (/ N (/ (/ 0.3333333333333333 (cbrt N)) N)) (* (/ N (/ 0.3333333333333333 N)) (sqrt N)) (* (/ N (/ 0.3333333333333333 N)) N) (* (/ N (/ 0.3333333333333333 N)) N) (* N (* N N)) (* N (* N N)) (exp (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (exp (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (log (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (exp (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (* (cbrt (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))))) (cbrt (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (* (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (* (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))))) (sqrt (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (sqrt (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (* N (- (* 1.0 N) (- 0.5 (/ 0.3333333333333333 N)))) (* N (* N N)) (- (* (* (* N N) (* N N)) 1.0) (* (- (* 0.5 (* N N)) (* (/ 0.3333333333333333 N) (* N N))) N)) (* (* N (* N N)) (* N N)) (- (* (+ (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)))) 1.0) (* (- (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N))) N)) (* (+ (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)))) N) (- (* 1.0 (+ (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (* (* (+ (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) N)) (* (+ (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) N) (- (* (/ 1.0 N) (* (/ 1.0 N) (/ 1.0 N))) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))))) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (/ 1.0 N)))) (- (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (+ (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (/ 1.0 N)) (+ (sqrt (/ 1.0 N)) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (- (sqrt (/ 1.0 N)) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.5 N) N) (/ (/ 0.5 N) N) (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) 4.784 * * * [progress]: adding candidates to table 5.361 * * [progress]: iteration 3 / 4 5.361 * * * [progress]: picking best candidate 5.373 * * * * [pick]: Picked # 5.373 * * * [progress]: localizing error 5.380 * * * [progress]: generating rewritten candidates 5.380 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 5.386 * * * [progress]: generating series expansions 5.386 * * * * [progress]: [ 1 / 1 ] generating series at (2) 5.386 * [backup-simplify]: Simplify (log (/ (+ 1.0 N) N)) into (log (/ (+ N 1.0) N)) 5.386 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 5.386 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.386 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.386 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.386 * [taylor]: Taking taylor expansion of N in N 5.386 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 1 into 1 5.386 * [taylor]: Taking taylor expansion of 1.0 in N 5.386 * [backup-simplify]: Simplify 1.0 into 1.0 5.386 * [taylor]: Taking taylor expansion of N in N 5.386 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 1 into 1 5.387 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.387 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.387 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.387 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 5.387 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 5.387 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.387 * [taylor]: Taking taylor expansion of N in N 5.387 * [backup-simplify]: Simplify 0 into 0 5.387 * [backup-simplify]: Simplify 1 into 1 5.387 * [taylor]: Taking taylor expansion of 1.0 in N 5.387 * [backup-simplify]: Simplify 1.0 into 1.0 5.387 * [taylor]: Taking taylor expansion of N in N 5.387 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 1 into 1 5.388 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.388 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.388 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.389 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 5.389 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 5.390 * [backup-simplify]: Simplify (+ 1 0) into 1 5.390 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 5.393 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.393 * [backup-simplify]: Simplify 1.0 into 1.0 5.394 * [backup-simplify]: Simplify (+ 0 0) into 0 5.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.400 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 5.401 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 5.402 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 5.402 * [backup-simplify]: Simplify (log (/ (+ 1.0 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 5.402 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 5.402 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.402 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.402 * [taylor]: Taking taylor expansion of N in N 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify 1 into 1 5.402 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.402 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.402 * [taylor]: Taking taylor expansion of N in N 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify 1 into 1 5.402 * [backup-simplify]: Simplify (/ 1 1) into 1 5.402 * [taylor]: Taking taylor expansion of 1.0 in N 5.402 * [backup-simplify]: Simplify 1.0 into 1.0 5.403 * [backup-simplify]: Simplify (+ 1 0) into 1 5.403 * [backup-simplify]: Simplify (* 0 1) into 0 5.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.404 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.404 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.404 * [backup-simplify]: Simplify (log 1) into 0 5.404 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 5.404 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 5.404 * [taylor]: Taking taylor expansion of N in N 5.404 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify 1 into 1 5.404 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.404 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.404 * [taylor]: Taking taylor expansion of N in N 5.404 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify 1 into 1 5.405 * [backup-simplify]: Simplify (/ 1 1) into 1 5.405 * [taylor]: Taking taylor expansion of 1.0 in N 5.405 * [backup-simplify]: Simplify 1.0 into 1.0 5.405 * [backup-simplify]: Simplify (+ 1 0) into 1 5.406 * [backup-simplify]: Simplify (* 0 1) into 0 5.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.407 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.408 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 5.408 * [backup-simplify]: Simplify (log 1) into 0 5.408 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.414 * [backup-simplify]: Simplify (+ 0 0) into 0 5.417 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 5.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.424 * [backup-simplify]: Simplify 1.0 into 1.0 5.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.426 * [backup-simplify]: Simplify (+ 0 0) into 0 5.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 5.439 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 5.439 * [backup-simplify]: Simplify -0.5 into -0.5 5.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.440 * [backup-simplify]: Simplify (+ 0 0) into 0 5.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 5.460 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 5.460 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.460 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 5.461 * [backup-simplify]: Simplify (log (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 5.461 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 5.461 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.461 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.461 * [taylor]: Taking taylor expansion of -1 in N 5.461 * [backup-simplify]: Simplify -1 into -1 5.461 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.461 * [taylor]: Taking taylor expansion of N in N 5.461 * [backup-simplify]: Simplify 0 into 0 5.461 * [backup-simplify]: Simplify 1 into 1 5.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.461 * [taylor]: Taking taylor expansion of 1.0 in N 5.461 * [backup-simplify]: Simplify 1.0 into 1.0 5.461 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.461 * [taylor]: Taking taylor expansion of N in N 5.461 * [backup-simplify]: Simplify 0 into 0 5.461 * [backup-simplify]: Simplify 1 into 1 5.462 * [backup-simplify]: Simplify (/ 1 1) into 1 5.462 * [backup-simplify]: Simplify (- 1) into -1 5.463 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.463 * [backup-simplify]: Simplify (* 0 -1) into 0 5.464 * [backup-simplify]: Simplify (* -1 0) into 0 5.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.465 * [backup-simplify]: Simplify (- 0) into 0 5.465 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.466 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.467 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.467 * [backup-simplify]: Simplify (log 1) into 0 5.467 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 5.467 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 5.467 * [taylor]: Taking taylor expansion of -1 in N 5.467 * [backup-simplify]: Simplify -1 into -1 5.467 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 5.467 * [taylor]: Taking taylor expansion of N in N 5.467 * [backup-simplify]: Simplify 0 into 0 5.467 * [backup-simplify]: Simplify 1 into 1 5.467 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.467 * [taylor]: Taking taylor expansion of 1.0 in N 5.467 * [backup-simplify]: Simplify 1.0 into 1.0 5.468 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.468 * [taylor]: Taking taylor expansion of N in N 5.468 * [backup-simplify]: Simplify 0 into 0 5.468 * [backup-simplify]: Simplify 1 into 1 5.468 * [backup-simplify]: Simplify (/ 1 1) into 1 5.468 * [backup-simplify]: Simplify (- 1) into -1 5.469 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.469 * [backup-simplify]: Simplify (* 0 -1) into 0 5.470 * [backup-simplify]: Simplify (* -1 0) into 0 5.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.471 * [backup-simplify]: Simplify (- 0) into 0 5.471 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.472 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 5.473 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.473 * [backup-simplify]: Simplify (log 1) into 0 5.473 * [backup-simplify]: Simplify 0 into 0 5.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.475 * [backup-simplify]: Simplify (- 0) into 0 5.475 * [backup-simplify]: Simplify (+ 0 0) into 0 5.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 5.480 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 5.488 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 5.488 * [backup-simplify]: Simplify -1.0 into -1.0 5.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.489 * [backup-simplify]: Simplify (- 0) into 0 5.490 * [backup-simplify]: Simplify (+ 0 0) into 0 5.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 5.493 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 5.506 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 5.506 * [backup-simplify]: Simplify -0.5 into -0.5 5.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.507 * [backup-simplify]: Simplify (- 0) into 0 5.508 * [backup-simplify]: Simplify (+ 0 0) into 0 5.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 5.510 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 5.521 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 5.521 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.521 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 5.521 * * * [progress]: simplifying candidates 5.522 * [simplify]: Simplifying: (log (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1)) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) 1)) (log (/ (sqrt (+ 1.0 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1.0 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1.0 N) N)) (log 1) (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (log (/ 1 N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (exp (log (/ (+ 1.0 N) N))) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (* (* (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 5.522 * * [simplify]: iteration 0: 84 enodes 5.546 * * [simplify]: iteration 1: 169 enodes 5.595 * * [simplify]: iteration 2: 452 enodes 5.803 * * [simplify]: iteration 3: 1859 enodes 6.246 * * [simplify]: iteration complete: 5000 enodes 6.246 * * [simplify]: Extracting #0: cost 31 inf + 0 6.247 * * [simplify]: Extracting #1: cost 617 inf + 1 6.251 * * [simplify]: Extracting #2: cost 1533 inf + 1943 6.260 * * [simplify]: Extracting #3: cost 1470 inf + 33977 6.302 * * [simplify]: Extracting #4: cost 429 inf + 223687 6.383 * * [simplify]: Extracting #5: cost 59 inf + 315204 6.449 * * [simplify]: Extracting #6: cost 11 inf + 325330 6.507 * * [simplify]: Extracting #7: cost 2 inf + 327395 6.573 * * [simplify]: Extracting #8: cost 0 inf + 327901 6.662 * [simplify]: Simplified to: (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))) (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (cbrt (+ N 1.0)) (/ (sqrt N) (cbrt (+ N 1.0))))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (+ (log (cbrt (+ N 1.0))) (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)) (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (+ (- (log (cbrt N))) (- (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))) (/ (+ 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))) (- (- (* 1.0 N) (log N)) (- (* (* 1/2 (/ N 1.0)) (/ N 1.0)) (log 1.0))) (+ (/ 1.0 N) (* (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5))) (+ (/ 1.0 N) (* (/ 1 (* N N)) (- (/ 0.3333333333333333 N) 0.5))) 6.663 * * * [progress]: adding candidates to table 6.783 * * [progress]: iteration 4 / 4 6.783 * * * [progress]: picking best candidate 6.800 * * * * [pick]: Picked # 6.800 * * * [progress]: localizing error 6.817 * * * [progress]: generating rewritten candidates 6.818 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 6.843 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 6.873 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 6.883 * * * [progress]: generating series expansions 6.883 * * * * [progress]: [ 1 / 3 ] generating series at (2) 6.883 * [backup-simplify]: Simplify (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) into (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) 6.883 * [approximate]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in (N) around 0 6.883 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 6.883 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 6.883 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 6.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.883 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.883 * [taylor]: Taking taylor expansion of N in N 6.883 * [backup-simplify]: Simplify 0 into 0 6.883 * [backup-simplify]: Simplify 1 into 1 6.884 * [backup-simplify]: Simplify (/ 1 1) into 1 6.888 * [backup-simplify]: Simplify (sqrt 0) into 0 6.889 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.889 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.889 * [taylor]: Taking taylor expansion of N in N 6.890 * [backup-simplify]: Simplify 0 into 0 6.890 * [backup-simplify]: Simplify 1 into 1 6.890 * [taylor]: Taking taylor expansion of 1.0 in N 6.890 * [backup-simplify]: Simplify 1.0 into 1.0 6.890 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.890 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.891 * [backup-simplify]: Simplify (+ 1 0) into 1 6.892 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 6.892 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.892 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 6.892 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.892 * [taylor]: Taking taylor expansion of N in N 6.892 * [backup-simplify]: Simplify 0 into 0 6.892 * [backup-simplify]: Simplify 1 into 1 6.893 * [backup-simplify]: Simplify (sqrt 0) into 0 6.894 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.894 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.894 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 6.894 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 6.894 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 6.894 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.894 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.894 * [taylor]: Taking taylor expansion of N in N 6.894 * [backup-simplify]: Simplify 0 into 0 6.894 * [backup-simplify]: Simplify 1 into 1 6.894 * [backup-simplify]: Simplify (/ 1 1) into 1 6.894 * [backup-simplify]: Simplify (sqrt 0) into 0 6.895 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.895 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.895 * [taylor]: Taking taylor expansion of N in N 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 1 into 1 6.895 * [taylor]: Taking taylor expansion of 1.0 in N 6.895 * [backup-simplify]: Simplify 1.0 into 1.0 6.896 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.896 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.896 * [backup-simplify]: Simplify (+ 1 0) into 1 6.897 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 6.898 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.898 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 6.898 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.898 * [taylor]: Taking taylor expansion of N in N 6.898 * [backup-simplify]: Simplify 0 into 0 6.898 * [backup-simplify]: Simplify 1 into 1 6.898 * [backup-simplify]: Simplify (sqrt 0) into 0 6.899 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.899 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.900 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 6.900 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 6.901 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (+ (log N) (log +nan.0)))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 6.902 * [backup-simplify]: Simplify (- (log (- +nan.0)) (+ (log N) (log +nan.0))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 6.902 * [backup-simplify]: Simplify (+ 0 0) into 0 6.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.905 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 6.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 6.914 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.921 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.922 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 6.922 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.923 * [backup-simplify]: Simplify (+ 0 0) into 0 6.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.928 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 6.950 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 6.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.969 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 6.970 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.971 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 6.971 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.974 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- (log (- +nan.0)) (+ (log N) (log +nan.0))))) into (- (log (- +nan.0)) (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2))))) 6.974 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 N)))) (log (/ (+ 1.0 (/ 1 N)) (sqrt (/ 1 N))))) into (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) 6.974 * [approximate]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in (N) around 0 6.974 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 6.974 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 6.974 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 6.974 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.974 * [taylor]: Taking taylor expansion of N in N 6.974 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify 1 into 1 6.975 * [backup-simplify]: Simplify (sqrt 0) into 0 6.976 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.976 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.976 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.976 * [taylor]: Taking taylor expansion of N in N 6.976 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify 1 into 1 6.977 * [backup-simplify]: Simplify (/ 1 1) into 1 6.977 * [taylor]: Taking taylor expansion of 1.0 in N 6.977 * [backup-simplify]: Simplify 1.0 into 1.0 6.977 * [backup-simplify]: Simplify (+ 1 0) into 1 6.978 * [backup-simplify]: Simplify (* 0 1) into 0 6.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.979 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.981 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 6.982 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.982 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 6.982 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.982 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.982 * [taylor]: Taking taylor expansion of N in N 6.982 * [backup-simplify]: Simplify 0 into 0 6.982 * [backup-simplify]: Simplify 1 into 1 6.982 * [backup-simplify]: Simplify (/ 1 1) into 1 6.983 * [backup-simplify]: Simplify (sqrt 0) into 0 6.984 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.985 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.985 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 6.985 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 6.985 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 6.985 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.985 * [taylor]: Taking taylor expansion of N in N 6.985 * [backup-simplify]: Simplify 0 into 0 6.985 * [backup-simplify]: Simplify 1 into 1 6.985 * [backup-simplify]: Simplify (sqrt 0) into 0 6.987 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.987 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.987 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.987 * [taylor]: Taking taylor expansion of N in N 6.987 * [backup-simplify]: Simplify 0 into 0 6.987 * [backup-simplify]: Simplify 1 into 1 6.987 * [backup-simplify]: Simplify (/ 1 1) into 1 6.987 * [taylor]: Taking taylor expansion of 1.0 in N 6.987 * [backup-simplify]: Simplify 1.0 into 1.0 6.988 * [backup-simplify]: Simplify (+ 1 0) into 1 6.988 * [backup-simplify]: Simplify (* 0 1) into 0 6.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.990 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.991 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 6.992 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.992 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 6.992 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.992 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.992 * [taylor]: Taking taylor expansion of N in N 6.992 * [backup-simplify]: Simplify 0 into 0 6.992 * [backup-simplify]: Simplify 1 into 1 6.993 * [backup-simplify]: Simplify (/ 1 1) into 1 6.993 * [backup-simplify]: Simplify (sqrt 0) into 0 6.994 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.995 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.996 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 6.998 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (log +nan.0))) into (- (log (- +nan.0)) (log +nan.0)) 7.000 * [backup-simplify]: Simplify (- (log (- +nan.0)) (log +nan.0)) into (- (log (- +nan.0)) (log +nan.0)) 7.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.001 * [backup-simplify]: Simplify (+ 0 0) into 0 7.003 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.005 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 7.014 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 7.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.024 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.031 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.032 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.033 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 7.033 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.034 * [backup-simplify]: Simplify (+ 0 0) into 0 7.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 7.053 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 7.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.068 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 7.068 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.069 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 7.070 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.073 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (- (log (- +nan.0)) (log +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log +nan.0) (* +nan.0 (/ 1 N))))) 7.073 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 (- N))))) (log (/ (+ 1.0 (/ 1 (- N))) (sqrt (/ 1 (- N)))))) into (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) 7.073 * [approximate]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 7.073 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 7.073 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 7.073 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 7.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.073 * [taylor]: Taking taylor expansion of 1.0 in N 7.073 * [backup-simplify]: Simplify 1.0 into 1.0 7.073 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.073 * [taylor]: Taking taylor expansion of N in N 7.073 * [backup-simplify]: Simplify 0 into 0 7.073 * [backup-simplify]: Simplify 1 into 1 7.074 * [backup-simplify]: Simplify (/ 1 1) into 1 7.074 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.074 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.074 * [taylor]: Taking taylor expansion of -1 in N 7.074 * [backup-simplify]: Simplify -1 into -1 7.074 * [taylor]: Taking taylor expansion of N in N 7.074 * [backup-simplify]: Simplify 0 into 0 7.074 * [backup-simplify]: Simplify 1 into 1 7.074 * [backup-simplify]: Simplify (/ -1 1) into -1 7.075 * [backup-simplify]: Simplify (sqrt 0) into 0 7.076 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.076 * [backup-simplify]: Simplify (- 1) into -1 7.077 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.077 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 7.077 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.077 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 7.077 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.077 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.077 * [taylor]: Taking taylor expansion of -1 in N 7.077 * [backup-simplify]: Simplify -1 into -1 7.077 * [taylor]: Taking taylor expansion of N in N 7.078 * [backup-simplify]: Simplify 0 into 0 7.078 * [backup-simplify]: Simplify 1 into 1 7.078 * [backup-simplify]: Simplify (/ -1 1) into -1 7.078 * [backup-simplify]: Simplify (sqrt 0) into 0 7.079 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.079 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.079 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 7.079 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 7.079 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 7.079 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.079 * [taylor]: Taking taylor expansion of 1.0 in N 7.079 * [backup-simplify]: Simplify 1.0 into 1.0 7.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.079 * [taylor]: Taking taylor expansion of N in N 7.079 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify 1 into 1 7.080 * [backup-simplify]: Simplify (/ 1 1) into 1 7.080 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.080 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.080 * [taylor]: Taking taylor expansion of -1 in N 7.080 * [backup-simplify]: Simplify -1 into -1 7.080 * [taylor]: Taking taylor expansion of N in N 7.080 * [backup-simplify]: Simplify 0 into 0 7.080 * [backup-simplify]: Simplify 1 into 1 7.080 * [backup-simplify]: Simplify (/ -1 1) into -1 7.080 * [backup-simplify]: Simplify (sqrt 0) into 0 7.081 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.081 * [backup-simplify]: Simplify (- 1) into -1 7.082 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.082 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 7.082 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.082 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 7.082 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.082 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.082 * [taylor]: Taking taylor expansion of -1 in N 7.082 * [backup-simplify]: Simplify -1 into -1 7.082 * [taylor]: Taking taylor expansion of N in N 7.082 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify 1 into 1 7.083 * [backup-simplify]: Simplify (/ -1 1) into -1 7.083 * [backup-simplify]: Simplify (sqrt 0) into 0 7.084 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.084 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.084 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 7.085 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 7.086 * [backup-simplify]: Simplify (+ (- (log +nan.0) (log N)) (- (log +nan.0))) into (- (log N)) 7.086 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 7.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.087 * [backup-simplify]: Simplify (- 0) into 0 7.087 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.090 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.091 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.098 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.103 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.103 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 7.104 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.104 * [backup-simplify]: Simplify (- 0) into 0 7.105 * [backup-simplify]: Simplify (+ 0 0) into 0 7.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.112 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 7.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow +nan.0 1)))) 2) into +nan.0 7.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.147 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 7.147 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.148 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 7.148 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.149 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- (log (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) 7.149 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 7.149 * [backup-simplify]: Simplify (/ (+ 1.0 N) (sqrt N)) into (* (sqrt (/ 1 N)) (+ N 1.0)) 7.149 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in (N) around 0 7.149 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 7.149 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 7.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.149 * [taylor]: Taking taylor expansion of N in N 7.149 * [backup-simplify]: Simplify 0 into 0 7.149 * [backup-simplify]: Simplify 1 into 1 7.149 * [backup-simplify]: Simplify (/ 1 1) into 1 7.149 * [backup-simplify]: Simplify (sqrt 0) into 0 7.150 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.150 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.150 * [taylor]: Taking taylor expansion of N in N 7.150 * [backup-simplify]: Simplify 0 into 0 7.150 * [backup-simplify]: Simplify 1 into 1 7.150 * [taylor]: Taking taylor expansion of 1.0 in N 7.150 * [backup-simplify]: Simplify 1.0 into 1.0 7.151 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 7.151 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 7.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.151 * [taylor]: Taking taylor expansion of N in N 7.151 * [backup-simplify]: Simplify 0 into 0 7.151 * [backup-simplify]: Simplify 1 into 1 7.151 * [backup-simplify]: Simplify (/ 1 1) into 1 7.151 * [backup-simplify]: Simplify (sqrt 0) into 0 7.152 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.152 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.152 * [taylor]: Taking taylor expansion of N in N 7.152 * [backup-simplify]: Simplify 0 into 0 7.152 * [backup-simplify]: Simplify 1 into 1 7.152 * [taylor]: Taking taylor expansion of 1.0 in N 7.152 * [backup-simplify]: Simplify 1.0 into 1.0 7.153 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.153 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.153 * [backup-simplify]: Simplify 0 into 0 7.153 * [backup-simplify]: Simplify (+ 1 0) into 1 7.154 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 7.154 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.155 * [backup-simplify]: Simplify (+ 0 0) into 0 7.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.157 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 7.159 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.159 * [backup-simplify]: Simplify (+ 0 0) into 0 7.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 7.166 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.166 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 7.167 * [backup-simplify]: Simplify (/ (+ 1.0 (/ 1 N)) (sqrt (/ 1 N))) into (* (sqrt N) (+ (/ 1 N) 1.0)) 7.167 * [approximate]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in (N) around 0 7.167 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 7.167 * [taylor]: Taking taylor expansion of (sqrt N) in N 7.167 * [taylor]: Taking taylor expansion of N in N 7.167 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify 1 into 1 7.167 * [backup-simplify]: Simplify (sqrt 0) into 0 7.168 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.168 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.168 * [taylor]: Taking taylor expansion of N in N 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify 1 into 1 7.168 * [backup-simplify]: Simplify (/ 1 1) into 1 7.168 * [taylor]: Taking taylor expansion of 1.0 in N 7.168 * [backup-simplify]: Simplify 1.0 into 1.0 7.168 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 7.168 * [taylor]: Taking taylor expansion of (sqrt N) in N 7.168 * [taylor]: Taking taylor expansion of N in N 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify 1 into 1 7.169 * [backup-simplify]: Simplify (sqrt 0) into 0 7.170 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.170 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.170 * [taylor]: Taking taylor expansion of N in N 7.170 * [backup-simplify]: Simplify 0 into 0 7.170 * [backup-simplify]: Simplify 1 into 1 7.170 * [backup-simplify]: Simplify (/ 1 1) into 1 7.170 * [taylor]: Taking taylor expansion of 1.0 in N 7.170 * [backup-simplify]: Simplify 1.0 into 1.0 7.171 * [backup-simplify]: Simplify (+ 1 0) into 1 7.171 * [backup-simplify]: Simplify (* 0 1) into 0 7.171 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.173 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.174 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 7.175 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.176 * [backup-simplify]: Simplify (+ 0 0) into 0 7.179 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 7.183 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.184 * [backup-simplify]: Simplify (+ 0 0) into 0 7.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 7.194 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.196 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 7.196 * [backup-simplify]: Simplify (/ (+ 1.0 (/ 1 (- N))) (sqrt (/ 1 (- N)))) into (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 7.196 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in (N) around 0 7.196 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 7.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.196 * [taylor]: Taking taylor expansion of 1.0 in N 7.196 * [backup-simplify]: Simplify 1.0 into 1.0 7.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.196 * [taylor]: Taking taylor expansion of N in N 7.196 * [backup-simplify]: Simplify 0 into 0 7.196 * [backup-simplify]: Simplify 1 into 1 7.197 * [backup-simplify]: Simplify (/ 1 1) into 1 7.197 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.197 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.197 * [taylor]: Taking taylor expansion of -1 in N 7.197 * [backup-simplify]: Simplify -1 into -1 7.197 * [taylor]: Taking taylor expansion of N in N 7.197 * [backup-simplify]: Simplify 0 into 0 7.197 * [backup-simplify]: Simplify 1 into 1 7.197 * [backup-simplify]: Simplify (/ -1 1) into -1 7.198 * [backup-simplify]: Simplify (sqrt 0) into 0 7.199 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.199 * [backup-simplify]: Simplify (- 1) into -1 7.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.200 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 7.200 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 7.200 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.200 * [taylor]: Taking taylor expansion of 1.0 in N 7.200 * [backup-simplify]: Simplify 1.0 into 1.0 7.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.200 * [taylor]: Taking taylor expansion of N in N 7.201 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify 1 into 1 7.201 * [backup-simplify]: Simplify (/ 1 1) into 1 7.201 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.201 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.201 * [taylor]: Taking taylor expansion of -1 in N 7.201 * [backup-simplify]: Simplify -1 into -1 7.201 * [taylor]: Taking taylor expansion of N in N 7.201 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify 1 into 1 7.202 * [backup-simplify]: Simplify (/ -1 1) into -1 7.202 * [backup-simplify]: Simplify (sqrt 0) into 0 7.204 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.204 * [backup-simplify]: Simplify (- 1) into -1 7.204 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.205 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 7.205 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.206 * [backup-simplify]: Simplify (- 0) into 0 7.207 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.211 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.213 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.214 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.215 * [backup-simplify]: Simplify (- 0) into 0 7.216 * [backup-simplify]: Simplify (+ 0 0) into 0 7.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.225 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 7.226 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.227 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- N))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) 7.227 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 7.227 * [backup-simplify]: Simplify (log (sqrt N)) into (log (sqrt N)) 7.227 * [approximate]: Taking taylor expansion of (log (sqrt N)) in (N) around 0 7.227 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 7.227 * [taylor]: Taking taylor expansion of (sqrt N) in N 7.227 * [taylor]: Taking taylor expansion of N in N 7.227 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify 1 into 1 7.228 * [backup-simplify]: Simplify (sqrt 0) into 0 7.229 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.230 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.230 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 7.230 * [taylor]: Taking taylor expansion of (sqrt N) in N 7.230 * [taylor]: Taking taylor expansion of N in N 7.230 * [backup-simplify]: Simplify 0 into 0 7.230 * [backup-simplify]: Simplify 1 into 1 7.230 * [backup-simplify]: Simplify (sqrt 0) into 0 7.232 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.232 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.233 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 7.233 * [backup-simplify]: Simplify (+ (log N) (log +nan.0)) into (+ (log N) (log +nan.0)) 7.237 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.242 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.243 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.245 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.260 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 7.260 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.261 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (+ (log N) (log +nan.0)))) into (- (+ (log N) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 7.261 * [backup-simplify]: Simplify (log (sqrt (/ 1 N))) into (log (sqrt (/ 1 N))) 7.261 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 N))) in (N) around 0 7.261 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 7.261 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 7.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.261 * [taylor]: Taking taylor expansion of N in N 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify 1 into 1 7.261 * [backup-simplify]: Simplify (/ 1 1) into 1 7.261 * [backup-simplify]: Simplify (sqrt 0) into 0 7.262 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.263 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.263 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 7.263 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 7.263 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.263 * [taylor]: Taking taylor expansion of N in N 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify 1 into 1 7.263 * [backup-simplify]: Simplify (/ 1 1) into 1 7.263 * [backup-simplify]: Simplify (sqrt 0) into 0 7.264 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.264 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.265 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.267 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.271 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.284 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 7.284 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.284 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 7.284 * [backup-simplify]: Simplify (log (sqrt (/ 1 (- N)))) into (log (sqrt (/ -1 N))) 7.284 * [approximate]: Taking taylor expansion of (log (sqrt (/ -1 N))) in (N) around 0 7.284 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 7.284 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.284 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.284 * [taylor]: Taking taylor expansion of -1 in N 7.284 * [backup-simplify]: Simplify -1 into -1 7.284 * [taylor]: Taking taylor expansion of N in N 7.284 * [backup-simplify]: Simplify 0 into 0 7.284 * [backup-simplify]: Simplify 1 into 1 7.285 * [backup-simplify]: Simplify (/ -1 1) into -1 7.285 * [backup-simplify]: Simplify (sqrt 0) into 0 7.286 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.286 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.286 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 7.286 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.286 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.286 * [taylor]: Taking taylor expansion of -1 in N 7.286 * [backup-simplify]: Simplify -1 into -1 7.286 * [taylor]: Taking taylor expansion of N in N 7.286 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify 1 into 1 7.286 * [backup-simplify]: Simplify (/ -1 1) into -1 7.287 * [backup-simplify]: Simplify (sqrt 0) into 0 7.287 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.288 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.288 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.291 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.295 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.307 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 7.307 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.307 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 7.307 * * * [progress]: simplifying candidates 7.309 * [simplify]: Simplifying: (* (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N))) (* (exp (- (log (sqrt N)))) (/ (+ 1.0 N) (sqrt N))) (log (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (exp (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (* (cbrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (* (* (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (+ (pow (- (log (sqrt N))) 3) (pow (log (/ (+ 1.0 N) (sqrt N))) 3)) (+ (* (- (log (sqrt N))) (- (log (sqrt N)))) (- (* (log (/ (+ 1.0 N) (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (* (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))))) (- (* (- (log (sqrt N))) (- (log (sqrt N)))) (* (log (/ (+ 1.0 N) (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (- (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))))) (+ (- (log (sqrt N))) (log (sqrt (/ (+ 1.0 N) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) 1))) (+ (- (log (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 1))) (+ (- (log (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 1))) (+ (- (log (sqrt N))) (log 1)) (+ (- (log (sqrt N))) (log (+ 1.0 N))) (+ (- (log (cbrt (sqrt N)))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt (cbrt N)))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (+ 1.0 N))) (- (log (sqrt N)) (log (/ (+ 1.0 N) (sqrt N)))) (- (log (+ 1.0 N)) (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) (exp (/ (+ 1.0 N) (sqrt N))) (/ (* (* (+ 1.0 N) (+ 1.0 N)) (+ 1.0 N)) (* (* (sqrt N) (sqrt N)) (sqrt N))) (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))) (* (* (/ (+ 1.0 N) (sqrt N)) (/ (+ 1.0 N) (sqrt N))) (/ (+ 1.0 N) (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) (- (+ 1.0 N)) (- (sqrt N)) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (cbrt (+ 1.0 N)) (cbrt (sqrt N))) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (* (cbrt N) (cbrt N)))) (/ (cbrt (+ 1.0 N)) (sqrt (cbrt N))) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (sqrt N))) (/ (cbrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt 1)) (/ (cbrt (+ 1.0 N)) (sqrt N)) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (sqrt N))) (/ (cbrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1) (/ (cbrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ 1.0 N)) (cbrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (sqrt (* (cbrt N) (cbrt N)))) (/ (sqrt (+ 1.0 N)) (sqrt (cbrt N))) (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (sqrt 1)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (sqrt (+ 1.0 N)) 1) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ 1.0 N) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ 1.0 N) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ 1.0 N) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ 1 1) (/ (+ 1.0 N) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ 1.0 N) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ 1.0 N) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ 1.0 N) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ 1 1) (/ (+ 1.0 N) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ 1.0 N) (sqrt (* (cbrt N) (cbrt N)))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt 1)) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ (+ 1.0 N) 1) (/ (sqrt N) (cbrt (+ 1.0 N))) (/ (sqrt N) (sqrt (+ 1.0 N))) (/ (sqrt N) (+ 1.0 N)) (/ (sqrt N) (+ 1.0 N)) (* (sqrt N) (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (* (sqrt N) (- 1.0 N)) (log (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (log (cbrt (sqrt N))) (log (sqrt (* (cbrt N) (cbrt N)))) (log (sqrt (cbrt N))) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) (log (sqrt 1)) (log (sqrt N)) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) (log 1) (log (sqrt N)) (log N) (log (sqrt N)) (log N) (log (log (sqrt N))) (exp (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (cbrt (log (sqrt N))) (* (* (log (sqrt N)) (log (sqrt N))) (log (sqrt N))) (sqrt (log (sqrt N))) (sqrt (log (sqrt N))) (- (log (- +nan.0)) (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2))))) (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log +nan.0) (* +nan.0 (/ 1 N))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (log N) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 7.311 * * [simplify]: iteration 0: 199 enodes 7.359 * * [simplify]: iteration 1: 464 enodes 7.545 * * [simplify]: iteration 2: 1894 enodes 8.019 * * [simplify]: iteration complete: 5001 enodes 8.019 * * [simplify]: Extracting #0: cost 92 inf + 0 8.020 * * [simplify]: Extracting #1: cost 635 inf + 2 8.024 * * [simplify]: Extracting #2: cost 1485 inf + 6245 8.042 * * [simplify]: Extracting #3: cost 1318 inf + 132571 8.142 * * [simplify]: Extracting #4: cost 296 inf + 370594 8.270 * * [simplify]: Extracting #5: cost 23 inf + 434754 8.368 * * [simplify]: Extracting #6: cost 3 inf + 439562 8.452 * * [simplify]: Extracting #7: cost 0 inf + 440894 8.519 * [simplify]: Simplified to: (/ (/ (+ N 1.0) (sqrt N)) (sqrt N)) (/ (/ (+ N 1.0) (sqrt N)) (sqrt N)) (log (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N)))) (/ (/ (+ N 1.0) (sqrt N)) (sqrt N)) (* (cbrt (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N)))) (cbrt (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N))))) (cbrt (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N)))) (* (* (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N))) (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N)))) (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N)))) (sqrt (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N)))) (sqrt (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N)))) (- (* (* (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log (sqrt N)))) (- (log (+ N 1.0)) (log (sqrt N)))) (* (log (sqrt N)) (* (log (sqrt N)) (log (sqrt N))))) (+ (+ (* (log (sqrt N)) (log (sqrt N))) (* (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log (sqrt N))))) (* (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N)))) (- (* (log (sqrt N)) (log (sqrt N))) (* (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log (sqrt N))))) (- 0 (log (+ N 1.0))) (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N))) (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N))) (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N))) (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N))) (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N))) (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N))) (- (log (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt N))) (- (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt N))) (- (log (* (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (sqrt N))) (- (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (fabs (cbrt N)))) (log (sqrt N))) (- (log (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0))))) (log (sqrt N))) (- (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (sqrt N))) (- (log (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0))))) (log (sqrt N))) (- (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (sqrt N))) (- (log (/ (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (cbrt (sqrt N)))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (fabs (cbrt N)))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (sqrt N))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (sqrt N))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (- (+ (log (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (log (sqrt N)))) (- (+ (log (fabs (cbrt N))) (log (sqrt N)))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (+ (log (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (log (sqrt N)))) (- (+ (log (fabs (cbrt N))) (log (sqrt N)))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (cbrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (cbrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (sqrt N)))) (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (sqrt N)))) (- (- (log (+ N 1.0)) (log (sqrt N))) (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (- (log (sqrt N)) (- (log (+ N 1.0)) (log (sqrt N)))) (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (exp (/ (+ N 1.0) (sqrt N))) (/ (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (sqrt N)) N) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))) (* (/ (+ N 1.0) (sqrt N)) (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N)))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (- (+ N 1.0)) (- (sqrt N)) (* (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (fabs (cbrt N))) (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))) (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0)))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0)))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (fabs (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ N 1.0)) (/ (+ N 1.0) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (+ N 1.0) (/ (+ N 1.0) (sqrt (sqrt N))) (+ N 1.0) (/ (sqrt N) (cbrt (+ N 1.0))) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt N) (+ N 1.0)) (/ (sqrt N) (+ N 1.0)) (* (sqrt N) (+ (* 1.0 1.0) (* N (- N 1.0)))) (* (- 1.0 N) (sqrt N)) (log (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (log (cbrt (sqrt N))) (log (fabs (cbrt N))) (log (sqrt (cbrt N))) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) 0 (log (sqrt N)) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) 0 (log (sqrt N)) (log N) (log (sqrt N)) (log N) (log (log (sqrt N))) (sqrt N) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (cbrt (log (sqrt N))) (* (log (sqrt N)) (* (log (sqrt N)) (log (sqrt N)))) (sqrt (log (sqrt N))) (sqrt (log (sqrt N))) (- (log (- +nan.0)) (+ (+ (log +nan.0) (log N)) (* +nan.0 (- N (* N N))))) (- (- (log (- +nan.0)) (- (log +nan.0) (/ +nan.0 N))) (/ (/ +nan.0 N) N)) (- (- (/ (/ +nan.0 N) N)) (- (log (/ -1 N)) (/ +nan.0 N))) (+ (* (- +nan.0) (- N (* N N))) (- +nan.0)) (+ (- (/ (/ +nan.0 N) N)) (- (/ +nan.0 N) +nan.0)) (- (+ (- (/ +nan.0 N) (* +nan.0 N)) +nan.0)) (+ (log N) (- (log +nan.0) (* +nan.0 (- N (* N N))))) (+ (- (log +nan.0) (/ (/ +nan.0 N) N)) (/ +nan.0 N)) (+ (- (log +nan.0) (/ (/ +nan.0 N) N)) (/ +nan.0 N)) 8.527 * * * [progress]: adding candidates to table 9.076 * [progress]: [Phase 3 of 3] Extracting. 9.076 * * [regime]: Finding splitpoints for: (# # # #) 9.078 * * * [regime-changes]: Trying 1 branch expressions: (N) 9.078 * * * * [regimes]: Trying to branch on N from (# # # #) 9.146 * * * [regime]: Found split indices: #