21.288 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.076 * * * [progress]: [2/2] Setting up program. 0.081 * [progress]: [Phase 2 of 3] Improving. 0.081 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.081 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.081 * * [simplify]: iteration 0: 6 enodes 0.083 * * [simplify]: iteration 1: 11 enodes 0.085 * * [simplify]: iteration 2: 12 enodes 0.087 * * [simplify]: iteration complete: 12 enodes 0.088 * * [simplify]: Extracting #0: cost 1 inf + 0 0.088 * * [simplify]: Extracting #1: cost 4 inf + 0 0.088 * * [simplify]: Extracting #2: cost 6 inf + 0 0.088 * * [simplify]: Extracting #3: cost 4 inf + 183 0.088 * * [simplify]: Extracting #4: cost 0 inf + 560 0.088 * [simplify]: Simplified to: (- (log (+ 1 N)) (log N)) 0.089 * * [progress]: iteration 1 / 4 0.089 * * * [progress]: picking best candidate 0.093 * * * * [pick]: Picked # 0.093 * * * [progress]: localizing error 0.109 * * * [progress]: generating rewritten candidates 0.109 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.119 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.123 * * * [progress]: generating series expansions 0.123 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.123 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.123 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.123 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.123 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.123 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of 1 in N 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (+ 0 1) into 1 0.124 * [backup-simplify]: Simplify (log 1) into 0 0.124 * [taylor]: Taking taylor expansion of (log N) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (log 1) into 0 0.124 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.124 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.124 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of 1 in N 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (+ 0 1) into 1 0.125 * [backup-simplify]: Simplify (log 1) into 0 0.125 * [taylor]: Taking taylor expansion of (log N) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (log 1) into 0 0.125 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.125 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.125 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.125 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.126 * [backup-simplify]: Simplify (+ 1 0) into 1 0.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.128 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify (+ 1 0) into 1 0.128 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.146 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.147 * [backup-simplify]: Simplify -1/2 into -1/2 0.147 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.148 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.148 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.148 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.148 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) 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 in N 0.148 * [backup-simplify]: Simplify 1 into 1 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)) in N 0.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.149 * [taylor]: Taking taylor expansion of N in N 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [backup-simplify]: Simplify (log 1) into 0 0.149 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.149 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.149 * [taylor]: Taking taylor expansion of N in N 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of 1 in N 0.149 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [backup-simplify]: Simplify (log 1) into 0 0.150 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.150 * [taylor]: Taking taylor expansion of N in N 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [backup-simplify]: Simplify (log 1) into 0 0.151 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.151 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.151 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.151 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 1) into 1 0.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.154 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ 1 0) into 1 0.154 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.159 * [backup-simplify]: Simplify -1/2 into -1/2 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [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 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.170 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.170 * [backup-simplify]: Simplify 1/3 into 1/3 0.170 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.170 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.170 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.170 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.170 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.170 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.171 * [taylor]: Taking taylor expansion of 1 in N 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [backup-simplify]: Simplify (- 1) into -1 0.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.172 * [backup-simplify]: Simplify (log -1) into (log -1) 0.172 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.172 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.172 * [taylor]: Taking taylor expansion of -1 in N 0.172 * [backup-simplify]: Simplify -1 into -1 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (/ -1 1) into -1 0.173 * [backup-simplify]: Simplify (log -1) into (log -1) 0.173 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.173 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.173 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.173 * [taylor]: Taking taylor expansion of 1 in N 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [backup-simplify]: Simplify (- 1) into -1 0.174 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.175 * [backup-simplify]: Simplify (log -1) into (log -1) 0.175 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.175 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.175 * [taylor]: Taking taylor expansion of -1 in N 0.175 * [backup-simplify]: Simplify -1 into -1 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ -1 1) into -1 0.176 * [backup-simplify]: Simplify (log -1) into (log -1) 0.177 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.178 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.178 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.179 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.185 * [backup-simplify]: Simplify (+ -1 0) into -1 0.185 * [backup-simplify]: Simplify -1 into -1 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.194 * [backup-simplify]: Simplify -1/2 into -1/2 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 0.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [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 0.204 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.204 * [backup-simplify]: Simplify -1/3 into -1/3 0.204 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.204 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.204 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.204 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.204 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.204 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of 1 in N 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (+ 0 1) into 1 0.205 * [backup-simplify]: Simplify (log 1) into 0 0.205 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.205 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of 1 in N 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (+ 0 1) into 1 0.206 * [backup-simplify]: Simplify (log 1) into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.209 * [backup-simplify]: Simplify -1/2 into -1/2 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.212 * [backup-simplify]: Simplify 1/3 into 1/3 0.212 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 0.212 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.212 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.212 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.212 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.212 * [taylor]: Taking taylor expansion of N in N 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [taylor]: Taking taylor expansion of 1 in N 0.212 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (+ 1 0) into 1 0.213 * [backup-simplify]: Simplify (log 1) into 0 0.213 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.213 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [taylor]: Taking taylor expansion of 1 in N 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (+ 1 0) into 1 0.214 * [backup-simplify]: Simplify (log 1) into 0 0.214 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.214 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ 0 1) into 1 0.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.218 * [backup-simplify]: Simplify -1/2 into -1/2 0.218 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.218 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.218 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.218 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.218 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.218 * [taylor]: Taking taylor expansion of 1 in N 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.218 * [taylor]: Taking taylor expansion of N in N 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [backup-simplify]: Simplify (- 1) into -1 0.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.219 * [backup-simplify]: Simplify (log -1) into (log -1) 0.219 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.219 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.219 * [taylor]: Taking taylor expansion of 1 in N 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [backup-simplify]: Simplify (- 1) into -1 0.220 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.220 * [backup-simplify]: Simplify (log -1) into (log -1) 0.221 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.221 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ 1 0) into 1 0.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.223 * [backup-simplify]: Simplify -1 into -1 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.226 * [backup-simplify]: Simplify -1/2 into -1/2 0.226 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.226 * * * [progress]: simplifying candidates 0.226 * * * * [progress]: [ 1 / 49 ] simplifiying candidate # 0.226 * * * * [progress]: [ 2 / 49 ] simplifiying candidate # 0.226 * * * * [progress]: [ 3 / 49 ] simplifiying candidate # 0.226 * * * * [progress]: [ 4 / 49 ] simplifiying candidate # 0.226 * * * * [progress]: [ 5 / 49 ] simplifiying candidate # 0.226 * * * * [progress]: [ 6 / 49 ] simplifiying candidate # 0.226 * * * * [progress]: [ 7 / 49 ] simplifiying candidate # 0.226 * * * * [progress]: [ 8 / 49 ] simplifiying candidate # 0.226 * * * * [progress]: [ 9 / 49 ] simplifiying candidate # 0.226 * * * * [progress]: [ 10 / 49 ] simplifiying candidate # 0.226 * * * * [progress]: [ 11 / 49 ] simplifiying candidate # 0.226 * * * * [progress]: [ 12 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 13 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 14 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 15 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 16 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 17 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 18 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 19 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 20 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 21 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 22 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 23 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 24 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 25 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 26 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 27 / 49 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.227 * * * * [progress]: [ 28 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 29 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 30 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 31 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 32 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 33 / 49 ] simplifiying candidate # 0.227 * * * * [progress]: [ 34 / 49 ] simplifiying candidate # 0.228 * * * * [progress]: [ 35 / 49 ] simplifiying candidate # 0.228 * * * * [progress]: [ 36 / 49 ] simplifiying candidate # 0.228 * * * * [progress]: [ 37 / 49 ] simplifiying candidate # 0.228 * * * * [progress]: [ 38 / 49 ] simplifiying candidate # 0.228 * * * * [progress]: [ 39 / 49 ] simplifiying candidate # 0.228 * * * * [progress]: [ 40 / 49 ] simplifiying candidate # 0.228 * * * * [progress]: [ 41 / 49 ] simplifiying candidate # 0.228 * * * * [progress]: [ 42 / 49 ] simplifiying candidate # 0.228 * * * * [progress]: [ 43 / 49 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.228 * * * * [progress]: [ 44 / 49 ] simplifiying candidate # 0.228 * * * * [progress]: [ 45 / 49 ] simplifiying candidate # 0.228 * * * * [progress]: [ 46 / 49 ] simplifiying candidate # 0.228 * * * * [progress]: [ 47 / 49 ] simplifiying candidate # 0.228 * * * * [progress]: [ 48 / 49 ] simplifiying candidate # 0.228 * * * * [progress]: [ 49 / 49 ] simplifiying candidate # 0.229 * [simplify]: Simplifying: (/ (+ N 1) N) (log (- (log (+ N 1)) (log N))) (exp (- (log (+ N 1)) (log N))) (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) (cbrt (- (log (+ N 1)) (log N))) (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (- (pow (log (+ N 1)) 3) (pow (log N) 3)) (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))) (- (log N)) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N)) (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N))) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1)) (log (sqrt N))) (- (log (+ N 1)) (log 1)) (- (log (cbrt (+ N 1))) (log N)) (- (log (sqrt (+ N 1))) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)) (+ (log (- N 1)) (log N)) (- (log N)) (real->posit16 (- (log (+ N 1)) (log N))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log 1) (log (+ N 1)) (log 1) (log (+ N 1)) (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1)))) (log (- (* N N) (* 1 1))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (exp (log (+ N 1))) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.229 * * [simplify]: iteration 0: 97 enodes 0.262 * * [simplify]: iteration 1: 211 enodes 0.318 * * [simplify]: iteration 2: 571 enodes 0.651 * * [simplify]: iteration 3: 2367 enodes 1.118 * * [simplify]: iteration complete: 5000 enodes 1.119 * * [simplify]: Extracting #0: cost 41 inf + 0 1.120 * * [simplify]: Extracting #1: cost 545 inf + 1 1.137 * * [simplify]: Extracting #2: cost 1414 inf + 10693 1.156 * * [simplify]: Extracting #3: cost 952 inf + 137186 1.202 * * [simplify]: Extracting #4: cost 221 inf + 268525 1.255 * * [simplify]: Extracting #5: cost 84 inf + 305976 1.306 * * [simplify]: Extracting #6: cost 14 inf + 319118 1.351 * * [simplify]: Extracting #7: cost 0 inf + 323010 1.408 * [simplify]: Simplified to: (/ (+ 1 N) N) (log (- (log (+ 1 N)) (log N))) (/ (+ 1 N) N) (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) (cbrt (- (log (+ 1 N)) (log N))) (* (* (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N))) (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (sqrt (- (log (+ 1 N)) (log N))) (- (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (* (* (log N) (log N)) (log N))) (+ (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (+ (log (+ 1 N)) (log N)))) (- (log N)) (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) (+ (log (+ 1 N)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ 1 N))) (sqrt (log N))) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log (* (cbrt N) (cbrt N)))) (- (log (+ 1 N)) (log (sqrt N))) (log (+ 1 N)) (- (log (cbrt (+ 1 N))) (log N)) (- (log (sqrt (+ 1 N))) (log N)) (- (log (+ 1 N)) (log N)) (- (log (+ 1 N)) (log N)) (+ (log (- 1 (- N (* N N)))) (log N)) (+ (log (- N 1)) (log N)) (- (log N)) (real->posit16 (- (log (+ 1 N)) (log N))) (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ 1 N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) 0 (log (+ 1 N)) 0 (log (+ 1 N)) (log (+ 1 (* N (* N N)))) (log (- 1 (- N (* N N)))) (log (- (* N N) 1)) (log (- N 1)) (log (+ 1 N)) (log (log (+ 1 N))) (+ 1 N) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (log (+ 1 N))) (* (log (+ 1 N)) (* (log (+ 1 N)) (log (+ 1 N)))) (sqrt (log (+ 1 N))) (sqrt (log (+ 1 N))) (real->posit16 (log (+ 1 N))) (+ N (- (* (* N N) -1/2) (log N))) (+ (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N))) (/ 1 N)) (+ (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N))) (/ 1 N)) (+ (* (* N N) (- (* N 1/3) 1/2)) N) (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))) (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))) 1.410 * * * [progress]: adding candidates to table 1.619 * * [progress]: iteration 2 / 4 1.619 * * * [progress]: picking best candidate 1.625 * * * * [pick]: Picked # 1.625 * * * [progress]: localizing error 1.648 * * * [progress]: generating rewritten candidates 1.648 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.726 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.732 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.746 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.760 * * * [progress]: generating series expansions 1.760 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.760 * [backup-simplify]: Simplify (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N))) into (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) 1.760 * [approximate]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 1.760 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) in N 1.761 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 1.761 * [taylor]: Taking taylor expansion of 1/3 in N 1.761 * [backup-simplify]: Simplify 1/3 into 1/3 1.761 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.761 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.761 * [taylor]: Taking taylor expansion of N in N 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify (* 1 1) into 1 1.762 * [backup-simplify]: Simplify (* 1 1) into 1 1.762 * [backup-simplify]: Simplify (/ 1 1) into 1 1.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 1.762 * [taylor]: Taking taylor expansion of 1/2 in N 1.762 * [backup-simplify]: Simplify 1/2 into 1/2 1.762 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.762 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.762 * [taylor]: Taking taylor expansion of N in N 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 1 into 1 1.762 * [backup-simplify]: Simplify (* 1 1) into 1 1.763 * [backup-simplify]: Simplify (/ 1 1) into 1 1.763 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) in N 1.763 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 1.763 * [taylor]: Taking taylor expansion of 1/3 in N 1.763 * [backup-simplify]: Simplify 1/3 into 1/3 1.763 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.763 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.763 * [taylor]: Taking taylor expansion of N in N 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (* 1 1) into 1 1.763 * [backup-simplify]: Simplify (* 1 1) into 1 1.764 * [backup-simplify]: Simplify (/ 1 1) into 1 1.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 1.764 * [taylor]: Taking taylor expansion of 1/2 in N 1.764 * [backup-simplify]: Simplify 1/2 into 1/2 1.764 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.764 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.764 * [taylor]: Taking taylor expansion of N in N 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (* 1 1) into 1 1.764 * [backup-simplify]: Simplify (/ 1 1) into 1 1.764 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 1.765 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 1.765 * [backup-simplify]: Simplify 1/3 into 1/3 1.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1.767 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.767 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.768 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.768 * [backup-simplify]: Simplify -1/2 into -1/2 1.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.771 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.774 * [backup-simplify]: Simplify (- 0) into 0 1.774 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.778 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.782 * [backup-simplify]: Simplify (- 0) into 0 1.782 * [backup-simplify]: Simplify (+ 0 0) into 0 1.782 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.787 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (- 0) into 0 1.790 * [backup-simplify]: Simplify (+ 0 0) into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.800 * [backup-simplify]: Simplify (- 0) into 0 1.800 * [backup-simplify]: Simplify (+ 0 0) into 0 1.800 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.806 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.810 * [backup-simplify]: Simplify (- 0) into 0 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.815 * [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 1.817 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.821 * [backup-simplify]: Simplify (- 0) into 0 1.822 * [backup-simplify]: Simplify (+ 0 0) into 0 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3))) into (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) 1.822 * [backup-simplify]: Simplify (- (/ 1/3 (* (/ 1 N) (* (/ 1 N) (/ 1 N)))) (/ 1/2 (* (/ 1 N) (/ 1 N)))) into (- (* 1/3 (pow N 3)) (* 1/2 (pow N 2))) 1.822 * [approximate]: Taking taylor expansion of (- (* 1/3 (pow N 3)) (* 1/2 (pow N 2))) in (N) around 0 1.822 * [taylor]: Taking taylor expansion of (- (* 1/3 (pow N 3)) (* 1/2 (pow N 2))) in N 1.822 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 1.823 * [taylor]: Taking taylor expansion of 1/3 in N 1.823 * [backup-simplify]: Simplify 1/3 into 1/3 1.823 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.823 * [taylor]: Taking taylor expansion of N in N 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.823 * [taylor]: Taking taylor expansion of 1/2 in N 1.823 * [backup-simplify]: Simplify 1/2 into 1/2 1.823 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.823 * [taylor]: Taking taylor expansion of N in N 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [taylor]: Taking taylor expansion of (- (* 1/3 (pow N 3)) (* 1/2 (pow N 2))) in N 1.823 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 1.823 * [taylor]: Taking taylor expansion of 1/3 in N 1.823 * [backup-simplify]: Simplify 1/3 into 1/3 1.823 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.823 * [taylor]: Taking taylor expansion of N in N 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.823 * [taylor]: Taking taylor expansion of 1/2 in N 1.823 * [backup-simplify]: Simplify 1/2 into 1/2 1.823 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.823 * [taylor]: Taking taylor expansion of N in N 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (* 1 1) into 1 1.824 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.824 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.825 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.825 * [backup-simplify]: Simplify -1/2 into -1/2 1.825 * [backup-simplify]: Simplify (* 1 1) into 1 1.826 * [backup-simplify]: Simplify (* 1 1) into 1 1.826 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 1.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.828 * [backup-simplify]: Simplify (- 0) into 0 1.828 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 1.828 * [backup-simplify]: Simplify 1/3 into 1/3 1.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.830 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.833 * [backup-simplify]: Simplify (- 0) into 0 1.833 * [backup-simplify]: Simplify (+ 0 0) into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.838 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify (+ 0 0) into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.844 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.847 * [backup-simplify]: Simplify (- 0) into 0 1.847 * [backup-simplify]: Simplify (+ 0 0) into 0 1.847 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.851 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.854 * [backup-simplify]: Simplify (- 0) into 0 1.855 * [backup-simplify]: Simplify (+ 0 0) into 0 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.857 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.859 * [backup-simplify]: Simplify (- 0) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.862 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.864 * [backup-simplify]: Simplify (- 0) into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (* -1/2 (pow (/ 1 N) 2))) into (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) 1.865 * [backup-simplify]: Simplify (- (/ 1/3 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) 1.865 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in (N) around 0 1.865 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 1.865 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 1.865 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.865 * [taylor]: Taking taylor expansion of 1/2 in N 1.865 * [backup-simplify]: Simplify 1/2 into 1/2 1.865 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.865 * [taylor]: Taking taylor expansion of N in N 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 1 into 1 1.865 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 1.865 * [taylor]: Taking taylor expansion of 1/3 in N 1.865 * [backup-simplify]: Simplify 1/3 into 1/3 1.865 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.865 * [taylor]: Taking taylor expansion of N in N 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 1 into 1 1.865 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 1.865 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 1.865 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.865 * [taylor]: Taking taylor expansion of 1/2 in N 1.865 * [backup-simplify]: Simplify 1/2 into 1/2 1.865 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.865 * [taylor]: Taking taylor expansion of N in N 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 1 into 1 1.865 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 1.865 * [taylor]: Taking taylor expansion of 1/3 in N 1.865 * [backup-simplify]: Simplify 1/3 into 1/3 1.865 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.865 * [taylor]: Taking taylor expansion of N in N 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify 1 into 1 1.866 * [backup-simplify]: Simplify (* 1 1) into 1 1.866 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.866 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.867 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.867 * [backup-simplify]: Simplify -1/2 into -1/2 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.868 * [backup-simplify]: Simplify (* 1 1) into 1 1.868 * [backup-simplify]: Simplify (* 1 1) into 1 1.868 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 1.868 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 1.869 * [backup-simplify]: Simplify (- 1/3) into -1/3 1.869 * [backup-simplify]: Simplify -1/3 into -1/3 1.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.871 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1.871 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify (- 0) into 0 1.871 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.874 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1.874 * [backup-simplify]: Simplify (+ 0 0) into 0 1.875 * [backup-simplify]: Simplify (- 0) into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (+ 0 0) into 0 1.878 * [backup-simplify]: Simplify (- 0) into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.882 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.882 * [backup-simplify]: Simplify (+ 0 0) into 0 1.883 * [backup-simplify]: Simplify (- 0) into 0 1.883 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.887 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.887 * [backup-simplify]: Simplify (+ 0 0) into 0 1.888 * [backup-simplify]: Simplify (- 0) into 0 1.888 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.896 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.896 * [backup-simplify]: Simplify (+ 0 0) into 0 1.897 * [backup-simplify]: Simplify (- 0) into 0 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (* -1/2 (pow (/ 1 (- N)) 2))) into (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) 1.897 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.897 * [backup-simplify]: Simplify (/ 1/2 (* N N)) into (/ 1/2 (pow N 2)) 1.897 * [approximate]: Taking taylor expansion of (/ 1/2 (pow N 2)) in (N) around 0 1.897 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 1.897 * [taylor]: Taking taylor expansion of 1/2 in N 1.897 * [backup-simplify]: Simplify 1/2 into 1/2 1.897 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.897 * [taylor]: Taking taylor expansion of N in N 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.898 * [backup-simplify]: Simplify (* 1 1) into 1 1.898 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.898 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 1.898 * [taylor]: Taking taylor expansion of 1/2 in N 1.898 * [backup-simplify]: Simplify 1/2 into 1/2 1.898 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.898 * [taylor]: Taking taylor expansion of N in N 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify (* 1 1) into 1 1.899 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.899 * [backup-simplify]: Simplify 1/2 into 1/2 1.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.905 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 1.913 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 N) (/ 1 N))) into (* 1/2 (pow N 2)) 1.913 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 1.913 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.913 * [taylor]: Taking taylor expansion of 1/2 in N 1.913 * [backup-simplify]: Simplify 1/2 into 1/2 1.913 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.913 * [taylor]: Taking taylor expansion of N in N 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.913 * [taylor]: Taking taylor expansion of 1/2 in N 1.913 * [backup-simplify]: Simplify 1/2 into 1/2 1.913 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.913 * [taylor]: Taking taylor expansion of N in N 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (* 1 1) into 1 1.914 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.914 * [backup-simplify]: Simplify 1/2 into 1/2 1.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.915 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.915 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.919 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.928 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 1.929 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/2 (pow N 2)) 1.929 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 1.929 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.929 * [taylor]: Taking taylor expansion of 1/2 in N 1.929 * [backup-simplify]: Simplify 1/2 into 1/2 1.929 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.929 * [taylor]: Taking taylor expansion of N in N 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.929 * [taylor]: Taking taylor expansion of 1/2 in N 1.929 * [backup-simplify]: Simplify 1/2 into 1/2 1.929 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.929 * [taylor]: Taking taylor expansion of N in N 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (* 1 1) into 1 1.930 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.930 * [backup-simplify]: Simplify 1/2 into 1/2 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.943 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (- N)) 2)) into (/ 1/2 (pow N 2)) 1.944 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.944 * [backup-simplify]: Simplify (/ 1/3 (* N (* N N))) into (/ 1/3 (pow N 3)) 1.944 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 1.944 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 1.944 * [taylor]: Taking taylor expansion of 1/3 in N 1.944 * [backup-simplify]: Simplify 1/3 into 1/3 1.944 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.944 * [taylor]: Taking taylor expansion of N in N 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (* 1 1) into 1 1.945 * [backup-simplify]: Simplify (* 1 1) into 1 1.946 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 1.946 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 3)) in N 1.946 * [taylor]: Taking taylor expansion of 1/3 in N 1.946 * [backup-simplify]: Simplify 1/3 into 1/3 1.946 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.946 * [taylor]: Taking taylor expansion of N in N 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (* 1 1) into 1 1.947 * [backup-simplify]: Simplify (* 1 1) into 1 1.947 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 1.947 * [backup-simplify]: Simplify 1/3 into 1/3 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.966 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 1.971 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 N) (* (/ 1 N) (/ 1 N)))) into (* 1/3 (pow N 3)) 1.971 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0 1.971 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 1.971 * [taylor]: Taking taylor expansion of 1/3 in N 1.971 * [backup-simplify]: Simplify 1/3 into 1/3 1.971 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.971 * [taylor]: Taking taylor expansion of N in N 1.971 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 1.972 * [taylor]: Taking taylor expansion of 1/3 in N 1.972 * [backup-simplify]: Simplify 1/3 into 1/3 1.972 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.972 * [taylor]: Taking taylor expansion of N in N 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (* 1 1) into 1 1.973 * [backup-simplify]: Simplify (* 1 1) into 1 1.973 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 1.973 * [backup-simplify]: Simplify 1/3 into 1/3 1.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.975 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.978 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.983 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.985 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.985 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.988 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) 1.988 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N))))) into (* -1/3 (pow N 3)) 1.988 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0 1.988 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 1.988 * [taylor]: Taking taylor expansion of -1/3 in N 1.988 * [backup-simplify]: Simplify -1/3 into -1/3 1.988 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.988 * [taylor]: Taking taylor expansion of N in N 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 1 into 1 1.988 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 1.988 * [taylor]: Taking taylor expansion of -1/3 in N 1.988 * [backup-simplify]: Simplify -1/3 into -1/3 1.988 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.988 * [taylor]: Taking taylor expansion of N in N 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 1 into 1 1.988 * [backup-simplify]: Simplify (* 1 1) into 1 1.989 * [backup-simplify]: Simplify (* 1 1) into 1 1.989 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 1.989 * [backup-simplify]: Simplify -1/3 into -1/3 1.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.990 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.992 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.996 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.998 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.001 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (- N)) 3)) into (/ 1/3 (pow N 3)) 2.001 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 2.001 * [backup-simplify]: Simplify (* N (* N N)) into (pow N 3) 2.001 * [approximate]: Taking taylor expansion of (pow N 3) in (N) around 0 2.001 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.001 * [taylor]: Taking taylor expansion of N in N 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.001 * [taylor]: Taking taylor expansion of N in N 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (* 1 1) into 1 2.002 * [backup-simplify]: Simplify (* 1 1) into 1 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify (* 1 (pow N 3)) into (pow N 3) 2.012 * [backup-simplify]: Simplify (* (/ 1 N) (* (/ 1 N) (/ 1 N))) into (/ 1 (pow N 3)) 2.013 * [approximate]: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.013 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.013 * [taylor]: Taking taylor expansion of N in N 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (* 1 1) into 1 2.013 * [backup-simplify]: Simplify (* 1 1) into 1 2.014 * [backup-simplify]: Simplify (/ 1 1) into 1 2.014 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.014 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.014 * [taylor]: Taking taylor expansion of N in N 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (* 1 1) into 1 2.015 * [backup-simplify]: Simplify (* 1 1) into 1 2.015 * [backup-simplify]: Simplify (/ 1 1) into 1 2.015 * [backup-simplify]: Simplify 1 into 1 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 N)) 3)) into (pow N 3) 2.035 * [backup-simplify]: Simplify (* (/ 1 (- N)) (* (/ 1 (- N)) (/ 1 (- N)))) into (/ -1 (pow N 3)) 2.035 * [approximate]: Taking taylor expansion of (/ -1 (pow N 3)) in (N) around 0 2.035 * [taylor]: Taking taylor expansion of (/ -1 (pow N 3)) in N 2.035 * [taylor]: Taking taylor expansion of -1 in N 2.035 * [backup-simplify]: Simplify -1 into -1 2.035 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.035 * [taylor]: Taking taylor expansion of N in N 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (* 1 1) into 1 2.035 * [backup-simplify]: Simplify (* 1 1) into 1 2.036 * [backup-simplify]: Simplify (/ -1 1) into -1 2.036 * [taylor]: Taking taylor expansion of (/ -1 (pow N 3)) in N 2.036 * [taylor]: Taking taylor expansion of -1 in N 2.036 * [backup-simplify]: Simplify -1 into -1 2.036 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.036 * [taylor]: Taking taylor expansion of N in N 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (* 1 1) into 1 2.037 * [backup-simplify]: Simplify (* 1 1) into 1 2.037 * [backup-simplify]: Simplify (/ -1 1) into -1 2.037 * [backup-simplify]: Simplify -1 into -1 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- N))) 3)) into (pow N 3) 2.057 * * * [progress]: simplifying candidates 2.058 * * * * [progress]: [ 1 / 101 ] simplifiying candidate # 2.058 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 2.058 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 2.058 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 2.058 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 2.058 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 2.058 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 2.058 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 2.058 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 2.058 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 2.058 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 2.058 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 2.058 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 2.058 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 2.059 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 2.059 * * * * [progress]: [ 16 / 101 ] simplifiying candidate # 2.059 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 2.059 * * * * [progress]: [ 18 / 101 ] simplifiying candidate #real (real->posit16 (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N))))) (/ 1 N)))> 2.059 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 2.059 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 2.059 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 2.059 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 2.059 * * * * [progress]: [ 23 / 101 ] simplifiying candidate # 2.059 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 2.059 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 2.059 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 2.059 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 2.059 * * * * [progress]: [ 28 / 101 ] simplifiying candidate # 2.059 * * * * [progress]: [ 29 / 101 ] simplifiying candidate # 2.059 * * * * [progress]: [ 30 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 31 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 32 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 33 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 34 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 35 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 36 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 37 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 38 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 39 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 40 / 101 ] simplifiying candidate #real (real->posit16 (/ 1/2 (* N N))))) (/ 1 N)))> 2.060 * * * * [progress]: [ 41 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 42 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 43 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 45 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 46 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 47 / 101 ] simplifiying candidate # 2.060 * * * * [progress]: [ 48 / 101 ] simplifiying candidate # 2.061 * * * * [progress]: [ 49 / 101 ] simplifiying candidate # 2.061 * * * * [progress]: [ 50 / 101 ] simplifiying candidate # 2.061 * * * * [progress]: [ 51 / 101 ] simplifiying candidate # 2.061 * * * * [progress]: [ 52 / 101 ] simplifiying candidate # 2.061 * * * * [progress]: [ 53 / 101 ] simplifiying candidate # 2.061 * * * * [progress]: [ 54 / 101 ] simplifiying candidate # 2.061 * * * * [progress]: [ 55 / 101 ] simplifiying candidate # 2.061 * * * * [progress]: [ 56 / 101 ] simplifiying candidate # 2.061 * * * * [progress]: [ 57 / 101 ] simplifiying candidate # 2.061 * * * * [progress]: [ 58 / 101 ] simplifiying candidate # 2.061 * * * * [progress]: [ 59 / 101 ] simplifiying candidate # 2.061 * * * * [progress]: [ 60 / 101 ] simplifiying candidate # 2.061 * * * * [progress]: [ 61 / 101 ] simplifiying candidate # 2.061 * * * * [progress]: [ 62 / 101 ] simplifiying candidate # 2.061 * * * * [progress]: [ 63 / 101 ] simplifiying candidate # 2.061 * * * * [progress]: [ 64 / 101 ] simplifiying candidate #real (real->posit16 (/ 1/3 (* N (* N N))))) (/ 1/2 (* N N))) (/ 1 N)))> 2.061 * * * * [progress]: [ 65 / 101 ] simplifiying candidate # 2.062 * * * * [progress]: [ 66 / 101 ] simplifiying candidate # 2.062 * * * * [progress]: [ 67 / 101 ] simplifiying candidate # 2.062 * * * * [progress]: [ 68 / 101 ] simplifiying candidate # 2.062 * * * * [progress]: [ 69 / 101 ] simplifiying candidate # 2.062 * * * * [progress]: [ 70 / 101 ] simplifiying candidate # 2.062 * * * * [progress]: [ 71 / 101 ] simplifiying candidate # 2.062 * * * * [progress]: [ 72 / 101 ] simplifiying candidate # 2.062 * * * * [progress]: [ 73 / 101 ] simplifiying candidate # 2.062 * * * * [progress]: [ 74 / 101 ] simplifiying candidate # 2.062 * * * * [progress]: [ 75 / 101 ] simplifiying candidate # 2.062 * * * * [progress]: [ 76 / 101 ] simplifiying candidate # 2.062 * * * * [progress]: [ 77 / 101 ] simplifiying candidate # 2.062 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 2.062 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 2.063 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 2.063 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 2.063 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 2.063 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 2.063 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 2.063 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 2.063 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 2.063 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 2.063 * * * * [progress]: [ 88 / 101 ] simplifiying candidate #real (real->posit16 (* N (* N N))))) (/ 1/2 (* N N))) (/ 1 N)))> 2.063 * * * * [progress]: [ 89 / 101 ] simplifiying candidate # 2.063 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 2.063 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 2.063 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 2.063 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 2.063 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 2.063 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 2.063 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 2.064 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 2.064 * * * * [progress]: [ 98 / 101 ] simplifiying candidate # 2.064 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 2.064 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 2.064 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 2.065 * [simplify]: Simplifying: (/ (exp (/ 1/3 (* N (* N N)))) (exp (/ 1/2 (* N N)))) (log (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N)))) (exp (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N)))) (* (cbrt (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N)))) (cbrt (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N))))) (cbrt (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N)))) (* (* (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N))) (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N)))) (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N)))) (sqrt (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N)))) (sqrt (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N)))) (- (* 1/3 (* N N)) (* (* N (* N N)) 1/2)) (* (* N (* N N)) (* N N)) (- (pow (/ 1/3 (* N (* N N))) 3) (pow (/ 1/2 (* N N)) 3)) (+ (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1/3 (* N (* N N))) (/ 1/2 (* N N))))) (- (/ 1/2 (* N N))) (- (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))) (+ (/ 1/3 (* N (* N N))) (/ 1/2 (* N N))) (+ (sqrt (/ 1/3 (* N (* N N)))) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1/3 (* N (* N N)))) (sqrt (/ 1/2 (* N N)))) (+ (sqrt (/ 1/3 (* N (* N N)))) (/ (sqrt 1/2) N)) (- (sqrt (/ 1/3 (* N (* N N)))) (/ (sqrt 1/2) N)) (- (/ 1/3 (* N N)) (/ 1/2 N)) (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N))) (- (/ 1/2 (* N N))) (real->posit16 (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N)))) (- (log 1/2) (+ (log N) (log N))) (- (log 1/2) (log (* N N))) (log (/ 1/2 (* N N))) (exp (/ 1/2 (* N N))) (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) (cbrt (/ 1/2 (* N N))) (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) (- 1/2) (- (* N N)) (/ (* (cbrt 1/2) (cbrt 1/2)) N) (/ (cbrt 1/2) N) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (/ 1 N) (/ 1/2 N) (/ 1 (* N N)) (/ (* N N) 1/2) (/ 1/2 N) (/ (* N N) (cbrt 1/2)) (/ (* N N) (sqrt 1/2)) (/ (* N N) 1/2) (real->posit16 (/ 1/2 (* N N))) (- (log 1/3) (+ (log N) (+ (log N) (log N)))) (- (log 1/3) (+ (log N) (log (* N N)))) (- (log 1/3) (log (* N (* N N)))) (log (/ 1/3 (* N (* N N)))) (exp (/ 1/3 (* N (* N N)))) (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N)))) (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) N) (* (* (* N N) (* N N)) (* N N)))) (/ (* (* 1/3 1/3) 1/3) (* (* (* N (* N N)) (* N (* N N))) (* N (* N N)))) (* (cbrt (/ 1/3 (* N (* N N)))) (cbrt (/ 1/3 (* N (* N N))))) (cbrt (/ 1/3 (* N (* N N)))) (* (* (/ 1/3 (* N (* N N))) (/ 1/3 (* N (* N N)))) (/ 1/3 (* N (* N N)))) (sqrt (/ 1/3 (* N (* N N)))) (sqrt (/ 1/3 (* N (* N N)))) (- 1/3) (- (* N (* N N))) (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ (cbrt 1/3) (* N N)) (/ (sqrt 1/3) N) (/ (sqrt 1/3) (* N N)) (/ 1 N) (/ 1/3 (* N N)) (/ 1 (* N (* N N))) (/ (* N (* N N)) 1/3) (/ 1/3 N) (/ (* N (* N N)) (cbrt 1/3)) (/ (* N (* N N)) (sqrt 1/3)) (/ (* N (* N N)) 1/3) (real->posit16 (/ 1/3 (* N (* N N)))) (+ 1 (+ 1 1)) (+ 1 2) (+ 1 (+ 1 1)) (+ 1 (* 2 1)) (* N (* N N)) (* N (* N N)) (+ (log N) (+ (log N) (log N))) (+ (log N) (log (* N N))) (log (* N (* N N))) (exp (* N (* N N))) (* (* (* N N) N) (* (* (* N N) N) (* (* N N) N))) (* (* (* N N) N) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (* N (* N N))) (cbrt (* N (* N N)))) (cbrt (* N (* N N))) (* (* (* N (* N N)) (* N (* N N))) (* N (* N N))) (sqrt (* N (* N N))) (sqrt (* N (* N N))) (* (sqrt N) N) (* (sqrt N) N) (* N N) (* (cbrt N) (* N N)) (* (sqrt N) (* N N)) (* N (* N N)) (real->posit16 (* N (* N N))) (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) (- (* 1/3 (/ 1 (pow N 3))) (* 1/2 (/ 1 (pow N 2)))) (/ 1/2 (pow N 2)) (/ 1/2 (pow N 2)) (/ 1/2 (pow N 2)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (pow N 3) (pow N 3) (pow N 3) 2.068 * * [simplify]: iteration 0: 137 enodes 2.135 * * [simplify]: iteration 1: 385 enodes 2.506 * * [simplify]: iteration 2: 2212 enodes 3.002 * * [simplify]: iteration complete: 5000 enodes 3.003 * * [simplify]: Extracting #0: cost 73 inf + 0 3.008 * * [simplify]: Extracting #1: cost 1521 inf + 4 3.036 * * [simplify]: Extracting #2: cost 1990 inf + 39289 3.069 * * [simplify]: Extracting #3: cost 774 inf + 197166 3.140 * * [simplify]: Extracting #4: cost 73 inf + 329424 3.228 * * [simplify]: Extracting #5: cost 0 inf + 353521 3.313 * * [simplify]: Extracting #6: cost 0 inf + 352976 3.407 * [simplify]: Simplified to: (exp (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N)))) (log (+ (/ -1/2 (* N N)) (/ (/ 1/3 N) (* N N)))) (exp (- (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N)))) (* (cbrt (+ (/ -1/2 (* N N)) (/ (/ 1/3 N) (* N N)))) (cbrt (+ (/ -1/2 (* N N)) (/ (/ 1/3 N) (* N N))))) (cbrt (+ (/ -1/2 (* N N)) (/ (/ 1/3 N) (* N N)))) (* (+ (/ -1/2 (* N N)) (/ (/ 1/3 N) (* N N))) (* (+ (/ -1/2 (* N N)) (/ (/ 1/3 N) (* N N))) (+ (/ -1/2 (* N N)) (/ (/ 1/3 N) (* N N))))) (sqrt (+ (/ -1/2 (* N N)) (/ (/ 1/3 N) (* N N)))) (sqrt (+ (/ -1/2 (* N N)) (/ (/ 1/3 N) (* N N)))) (- (* (* N N) 1/3) (* 1/2 (* N (* N N)))) (* (* N (* N N)) (* N N)) (- (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))) (/ 1/8 (* (* N (* N N)) (* N (* N N))))) (+ (* (/ 1/2 (* N N)) (+ (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N)))) (/ (/ 1/9 (* N (* N N))) (* N (* N N)))) (/ -1/2 (* N N)) (- (/ (/ 1/9 (* N (* N N))) (* N (* N N))) (/ (/ 1/4 (* N N)) (* N N))) (+ (/ (/ 1/3 N) (* N N)) (/ 1/2 (* N N))) (+ (sqrt (/ 1/2 (* N N))) (sqrt (/ (/ 1/3 N) (* N N)))) (- (sqrt (/ (/ 1/3 N) (* N N))) (sqrt (/ 1/2 (* N N)))) (+ (sqrt (/ (/ 1/3 N) (* N N))) (/ (sqrt 1/2) N)) (- (sqrt (/ (/ 1/3 N) (* N N))) (/ (sqrt 1/2) N)) (+ (/ 1/3 (* N N)) (/ -1/2 N)) (+ (/ -1/2 (* N N)) (/ (/ 1/3 N) (* N N))) (/ -1/2 (* N N)) (real->posit16 (+ (/ -1/2 (* N N)) (/ (/ 1/3 N) (* N N)))) (log (/ 1/2 (* N N))) (log (/ 1/2 (* N N))) (log (/ 1/2 (* N N))) (exp (/ 1/2 (* N N))) (/ 1/8 (* (* N (* N N)) (* N (* N N)))) (/ 1/8 (* (* N (* N N)) (* N (* N N)))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) (cbrt (/ 1/2 (* N N))) (/ 1/8 (* (* N (* N N)) (* N (* N N)))) (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) -1/2 (* (- N) N) (/ (cbrt 1/2) (/ N (cbrt 1/2))) (/ (cbrt 1/2) N) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (/ 1 N) (/ 1/2 N) (/ 1 (* N N)) (/ N (/ 1/2 N)) (/ 1/2 N) (/ (* N N) (cbrt 1/2)) (/ N (/ (sqrt 1/2) N)) (/ N (/ 1/2 N)) (real->posit16 (/ 1/2 (* N N))) (log (/ (/ 1/3 N) (* N N))) (log (/ (/ 1/3 N) (* N N))) (log (/ (/ 1/3 N) (* N N))) (log (/ (/ 1/3 N) (* N N))) (exp (/ (/ 1/3 N) (* N N))) (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))) (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))) (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))) (* (cbrt (/ (/ 1/3 N) (* N N))) (cbrt (/ (/ 1/3 N) (* N N)))) (cbrt (/ (/ 1/3 N) (* N N))) (* (* (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N))) (/ (/ 1/3 N) (* N N))) (sqrt (/ (/ 1/3 N) (* N N))) (sqrt (/ (/ 1/3 N) (* N N))) -1/3 (* (* N N) (- N)) (/ (cbrt 1/3) (/ N (cbrt 1/3))) (/ (cbrt 1/3) (* N N)) (/ (sqrt 1/3) N) (/ (sqrt 1/3) (* N N)) (/ 1 N) (/ 1/3 (* N N)) (/ 1 (* N (* N N))) (* (/ N 1/3) (* N N)) (/ 1/3 N) (/ (* N (* N N)) (cbrt 1/3)) (/ (* N (* N N)) (sqrt 1/3)) (* (/ N 1/3) (* N N)) (real->posit16 (/ (/ 1/3 N) (* N N))) 3 3 3 3 (* N (* N N)) (* N (* N N)) (* 3 (log N)) (* 3 (log N)) (* 3 (log N)) (exp (* N (* N N))) (* (* (* N (* N N)) (* N (* N N))) (* N (* N N))) (* (* (* N (* N N)) (* N (* N N))) (* N (* N N))) (* N N) N (* (* (* N (* N N)) (* N (* N N))) (* N (* N N))) (sqrt (* N (* N N))) (sqrt (* N (* N N))) (* N (sqrt N)) (* N (sqrt N)) (* N N) (* (cbrt N) (* N N)) (* (* N N) (sqrt N)) (* N (* N N)) (real->posit16 (* N (* N N))) (- (/ (/ 1/3 (* N N)) N) (/ 1/2 (* N N))) (- (/ (/ 1/3 (* N N)) N) (/ 1/2 (* N N))) (- (/ (/ 1/3 (* N N)) N) (/ 1/2 (* N N))) (/ 1/2 (* N N)) (/ 1/2 (* N N)) (/ 1/2 (* N N)) (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)) (/ (/ 1/3 N) (* N N)) (* N (* N N)) (* N (* N N)) (* N (* N N)) 3.417 * * * [progress]: adding candidates to table 3.724 * * [progress]: iteration 3 / 4 3.724 * * * [progress]: picking best candidate 3.732 * * * * [pick]: Picked # 3.733 * * * [progress]: localizing error 3.756 * * * [progress]: generating rewritten candidates 3.756 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.763 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.790 * * * [progress]: generating series expansions 3.790 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.791 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 3.791 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 3.791 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.791 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.791 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.791 * [taylor]: Taking taylor expansion of N in N 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify 1 into 1 3.791 * [taylor]: Taking taylor expansion of 1 in N 3.791 * [backup-simplify]: Simplify 1 into 1 3.791 * [taylor]: Taking taylor expansion of N in N 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify 1 into 1 3.791 * [backup-simplify]: Simplify (+ 0 1) into 1 3.792 * [backup-simplify]: Simplify (/ 1 1) into 1 3.792 * [backup-simplify]: Simplify (log 1) into 0 3.792 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.792 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.792 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.792 * [taylor]: Taking taylor expansion of N in N 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 1 into 1 3.792 * [taylor]: Taking taylor expansion of 1 in N 3.792 * [backup-simplify]: Simplify 1 into 1 3.792 * [taylor]: Taking taylor expansion of N in N 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 1 into 1 3.792 * [backup-simplify]: Simplify (+ 0 1) into 1 3.793 * [backup-simplify]: Simplify (/ 1 1) into 1 3.793 * [backup-simplify]: Simplify (log 1) into 0 3.793 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.793 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.794 * [backup-simplify]: Simplify (+ 1 0) into 1 3.794 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.795 * [backup-simplify]: Simplify 1 into 1 3.795 * [backup-simplify]: Simplify (+ 0 0) into 0 3.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.797 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.797 * [backup-simplify]: Simplify -1/2 into -1/2 3.797 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 3.797 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 3.797 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 3.798 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.798 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.798 * [taylor]: Taking taylor expansion of N in N 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify 1 into 1 3.798 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.798 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.798 * [taylor]: Taking taylor expansion of N in N 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify 1 into 1 3.798 * [backup-simplify]: Simplify (/ 1 1) into 1 3.798 * [taylor]: Taking taylor expansion of 1 in N 3.798 * [backup-simplify]: Simplify 1 into 1 3.798 * [backup-simplify]: Simplify (+ 1 0) into 1 3.798 * [backup-simplify]: Simplify (* 0 1) into 0 3.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.799 * [backup-simplify]: Simplify (+ 0 1) into 1 3.800 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.800 * [backup-simplify]: Simplify (log 1) into 0 3.800 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.800 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.800 * [taylor]: Taking taylor expansion of N in N 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 1 into 1 3.800 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.800 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.800 * [taylor]: Taking taylor expansion of N in N 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 1 into 1 3.800 * [backup-simplify]: Simplify (/ 1 1) into 1 3.800 * [taylor]: Taking taylor expansion of 1 in N 3.800 * [backup-simplify]: Simplify 1 into 1 3.801 * [backup-simplify]: Simplify (+ 1 0) into 1 3.801 * [backup-simplify]: Simplify (* 0 1) into 0 3.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.802 * [backup-simplify]: Simplify (+ 0 1) into 1 3.802 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.802 * [backup-simplify]: Simplify (log 1) into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.803 * [backup-simplify]: Simplify (+ 0 0) into 0 3.804 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.804 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.804 * [backup-simplify]: Simplify 1 into 1 3.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.805 * [backup-simplify]: Simplify (+ 0 0) into 0 3.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.807 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.807 * [backup-simplify]: Simplify -1/2 into -1/2 3.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.808 * [backup-simplify]: Simplify (+ 0 0) into 0 3.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.812 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 3.812 * [backup-simplify]: Simplify 1/3 into 1/3 3.812 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.812 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 3.812 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 3.812 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.812 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.812 * [taylor]: Taking taylor expansion of -1 in N 3.812 * [backup-simplify]: Simplify -1 into -1 3.812 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.812 * [taylor]: Taking taylor expansion of N in N 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 1 into 1 3.812 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.812 * [taylor]: Taking taylor expansion of 1 in N 3.812 * [backup-simplify]: Simplify 1 into 1 3.812 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.812 * [taylor]: Taking taylor expansion of N in N 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 1 into 1 3.812 * [backup-simplify]: Simplify (/ 1 1) into 1 3.813 * [backup-simplify]: Simplify (- 1) into -1 3.813 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.813 * [backup-simplify]: Simplify (* 0 -1) into 0 3.813 * [backup-simplify]: Simplify (* -1 0) into 0 3.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.814 * [backup-simplify]: Simplify (- 0) into 0 3.814 * [backup-simplify]: Simplify (+ 1 0) into 1 3.815 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.815 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.815 * [backup-simplify]: Simplify (log 1) into 0 3.816 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.816 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.816 * [taylor]: Taking taylor expansion of -1 in N 3.816 * [backup-simplify]: Simplify -1 into -1 3.816 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.816 * [taylor]: Taking taylor expansion of N in N 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 1 into 1 3.816 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.816 * [taylor]: Taking taylor expansion of 1 in N 3.816 * [backup-simplify]: Simplify 1 into 1 3.816 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.816 * [taylor]: Taking taylor expansion of N in N 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 1 into 1 3.816 * [backup-simplify]: Simplify (/ 1 1) into 1 3.816 * [backup-simplify]: Simplify (- 1) into -1 3.816 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.817 * [backup-simplify]: Simplify (* 0 -1) into 0 3.817 * [backup-simplify]: Simplify (* -1 0) into 0 3.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.818 * [backup-simplify]: Simplify (- 0) into 0 3.818 * [backup-simplify]: Simplify (+ 1 0) into 1 3.818 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.819 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.819 * [backup-simplify]: Simplify (log 1) into 0 3.819 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.820 * [backup-simplify]: Simplify (- 0) into 0 3.820 * [backup-simplify]: Simplify (+ 0 0) into 0 3.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.821 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.822 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.822 * [backup-simplify]: Simplify -1 into -1 3.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.823 * [backup-simplify]: Simplify (- 0) into 0 3.823 * [backup-simplify]: Simplify (+ 0 0) into 0 3.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.826 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.829 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.830 * [backup-simplify]: Simplify -1/2 into -1/2 3.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.831 * [backup-simplify]: Simplify (- 0) into 0 3.831 * [backup-simplify]: Simplify (+ 0 0) into 0 3.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.835 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.841 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 3.841 * [backup-simplify]: Simplify -1/3 into -1/3 3.841 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.841 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.841 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 3.841 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 3.841 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.841 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.841 * [taylor]: Taking taylor expansion of N in N 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 1 into 1 3.841 * [taylor]: Taking taylor expansion of 1 in N 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [taylor]: Taking taylor expansion of N in N 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [backup-simplify]: Simplify (+ 0 1) into 1 3.842 * [backup-simplify]: Simplify (/ 1 1) into 1 3.842 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.842 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.843 * [taylor]: Taking taylor expansion of N in N 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify 1 into 1 3.843 * [taylor]: Taking taylor expansion of 1 in N 3.843 * [backup-simplify]: Simplify 1 into 1 3.843 * [taylor]: Taking taylor expansion of N in N 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify 1 into 1 3.843 * [backup-simplify]: Simplify (+ 0 1) into 1 3.844 * [backup-simplify]: Simplify (/ 1 1) into 1 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [backup-simplify]: Simplify (+ 1 0) into 1 3.845 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.845 * [backup-simplify]: Simplify 1 into 1 3.845 * [backup-simplify]: Simplify (+ 0 0) into 0 3.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.846 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify (+ 0 0) into 0 3.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify (+ 0 0) into 0 3.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify (+ 0 0) into 0 3.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.850 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify (+ 0 0) into 0 3.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify (+ 0 0) into 0 3.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 3.854 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 3.854 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 3.854 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.854 * [taylor]: Taking taylor expansion of N in N 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.854 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.854 * [taylor]: Taking taylor expansion of N in N 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [backup-simplify]: Simplify (/ 1 1) into 1 3.854 * [taylor]: Taking taylor expansion of 1 in N 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.854 * [taylor]: Taking taylor expansion of N in N 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.854 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.854 * [taylor]: Taking taylor expansion of N in N 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 1 into 1 3.855 * [backup-simplify]: Simplify (/ 1 1) into 1 3.855 * [taylor]: Taking taylor expansion of 1 in N 3.855 * [backup-simplify]: Simplify 1 into 1 3.855 * [backup-simplify]: Simplify (+ 1 0) into 1 3.856 * [backup-simplify]: Simplify (* 0 1) into 0 3.856 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.860 * [backup-simplify]: Simplify (+ 0 1) into 1 3.861 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.861 * [backup-simplify]: Simplify 1 into 1 3.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.863 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.865 * [backup-simplify]: Simplify (+ 0 0) into 0 3.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.866 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.867 * [backup-simplify]: Simplify (+ 0 0) into 0 3.868 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.868 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.870 * [backup-simplify]: Simplify (+ 0 0) into 0 3.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 3.871 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (+ 0 0) into 0 3.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 3.874 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (+ 0 0) into 0 3.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.879 * [backup-simplify]: Simplify (+ 0 0) into 0 3.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 3.882 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 3.882 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 3.882 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.882 * [taylor]: Taking taylor expansion of -1 in N 3.882 * [backup-simplify]: Simplify -1 into -1 3.882 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.882 * [taylor]: Taking taylor expansion of N in N 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify 1 into 1 3.882 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.882 * [taylor]: Taking taylor expansion of 1 in N 3.882 * [backup-simplify]: Simplify 1 into 1 3.882 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.882 * [taylor]: Taking taylor expansion of N in N 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify 1 into 1 3.882 * [backup-simplify]: Simplify (/ 1 1) into 1 3.882 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.883 * [taylor]: Taking taylor expansion of -1 in N 3.883 * [backup-simplify]: Simplify -1 into -1 3.883 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.883 * [taylor]: Taking taylor expansion of N in N 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.883 * [taylor]: Taking taylor expansion of 1 in N 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.883 * [taylor]: Taking taylor expansion of N in N 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [backup-simplify]: Simplify (/ 1 1) into 1 3.884 * [backup-simplify]: Simplify (- 1) into -1 3.884 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.885 * [backup-simplify]: Simplify (* 0 -1) into 0 3.885 * [backup-simplify]: Simplify (* -1 0) into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.886 * [backup-simplify]: Simplify (- 0) into 0 3.887 * [backup-simplify]: Simplify (+ 1 0) into 1 3.887 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.888 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.888 * [backup-simplify]: Simplify 1 into 1 3.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.888 * [backup-simplify]: Simplify (- 0) into 0 3.889 * [backup-simplify]: Simplify (+ 0 0) into 0 3.889 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.890 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.890 * [backup-simplify]: Simplify -1 into -1 3.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.891 * [backup-simplify]: Simplify (- 0) into 0 3.891 * [backup-simplify]: Simplify (+ 0 0) into 0 3.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.892 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.893 * [backup-simplify]: Simplify (- 0) into 0 3.893 * [backup-simplify]: Simplify (+ 0 0) into 0 3.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.895 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.895 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.896 * [backup-simplify]: Simplify (- 0) into 0 3.896 * [backup-simplify]: Simplify (+ 0 0) into 0 3.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 3.898 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.899 * [backup-simplify]: Simplify (- 0) into 0 3.899 * [backup-simplify]: Simplify (+ 0 0) into 0 3.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 3.901 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 3.901 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.902 * [backup-simplify]: Simplify (- 0) into 0 3.902 * [backup-simplify]: Simplify (+ 0 0) into 0 3.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 3.904 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.905 * [backup-simplify]: Simplify (- 0) into 0 3.906 * [backup-simplify]: Simplify (+ 0 0) into 0 3.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 3.908 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 3.908 * [backup-simplify]: Simplify 0 into 0 3.908 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 3.909 * * * [progress]: simplifying candidates 3.909 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 16 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 3.909 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 28 / 68 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 3.910 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 30 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 48 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 3.910 * * * * [progress]: [ 56 / 68 ] simplifiying candidate # 3.911 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 3.911 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 3.911 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 3.911 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 3.911 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 3.911 * * * * [progress]: [ 62 / 68 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 3.911 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 3.911 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 3.911 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 3.911 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 3.911 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 3.911 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 3.912 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log 1) (log (/ (+ N 1) N)) (log (+ N 1)) (log (/ 1 N)) (log (+ N 1)) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (exp (log (/ (+ N 1) N))) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (- (log (+ N 1)) (log N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (/ (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (- (+ N 1)) (- N) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ N 1)) (sqrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1) (/ (cbrt (+ N 1)) N) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) 1) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (/ (+ N 1) 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (* N (+ (* N N) (- (* 1 1) (* N 1)))) (* N (- N 1)) (real->posit16 (/ (+ N 1) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 3.912 * * [simplify]: iteration 0: 102 enodes 3.949 * * [simplify]: iteration 1: 234 enodes 4.052 * * [simplify]: iteration 2: 987 enodes 4.410 * * [simplify]: iteration complete: 5001 enodes 4.410 * * [simplify]: Extracting #0: cost 66 inf + 0 4.411 * * [simplify]: Extracting #1: cost 592 inf + 2 4.420 * * [simplify]: Extracting #2: cost 2564 inf + 259 4.450 * * [simplify]: Extracting #3: cost 1886 inf + 65544 4.502 * * [simplify]: Extracting #4: cost 426 inf + 254271 4.587 * * [simplify]: Extracting #5: cost 23 inf + 342139 4.667 * * [simplify]: Extracting #6: cost 0 inf + 348206 4.744 * [simplify]: Simplified to: (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (+ (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (cbrt (+ N 1)) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1))))) (log (/ (cbrt (+ N 1)) (sqrt N))) (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N)) (- (- (log (cbrt N))) (log (cbrt N))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) (- (- (log (cbrt N))) (log (cbrt N))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) 0 (log (/ (+ N 1) N)) (log (+ N 1)) (- (log N)) (log (+ N 1)) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (/ (+ N 1) N) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (log (/ (+ N 1) N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (+ -1 (- N)) (- N) (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (/ (sqrt N) (cbrt (+ N 1)))) (/ (cbrt (+ N 1)) (sqrt N)) (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (cbrt (+ N 1)) N) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (sqrt (+ N 1)) (/ (sqrt (+ N 1)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) 1 (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (/ (+ N 1) (cbrt N)) (cbrt N)) (/ (+ N 1) (sqrt N)) (+ N 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (* (- 1 (- N (* N N))) N) (* N (- N 1)) (real->posit16 (/ (+ N 1) N)) (- (- N (log N)) (* 1/2 (* N N))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) 4.747 * * * [progress]: adding candidates to table 4.960 * * [progress]: iteration 4 / 4 4.960 * * * [progress]: picking best candidate 4.967 * * * * [pick]: Picked # 4.968 * * * [progress]: localizing error 4.988 * * * [progress]: generating rewritten candidates 4.988 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.996 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.003 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.014 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 5.029 * * * [progress]: generating series expansions 5.029 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.029 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1) N))) into (log (sqrt (/ (+ N 1) N))) 5.029 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 5.029 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 5.029 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.029 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.029 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.029 * [taylor]: Taking taylor expansion of N in N 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 1 into 1 5.029 * [taylor]: Taking taylor expansion of 1 in N 5.029 * [backup-simplify]: Simplify 1 into 1 5.029 * [taylor]: Taking taylor expansion of N in N 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 1 into 1 5.030 * [backup-simplify]: Simplify (+ 0 1) into 1 5.031 * [backup-simplify]: Simplify (/ 1 1) into 1 5.031 * [backup-simplify]: Simplify (sqrt 0) into 0 5.033 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.033 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.033 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 5.033 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.033 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.033 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.033 * [taylor]: Taking taylor expansion of N in N 5.033 * [backup-simplify]: Simplify 0 into 0 5.033 * [backup-simplify]: Simplify 1 into 1 5.034 * [taylor]: Taking taylor expansion of 1 in N 5.034 * [backup-simplify]: Simplify 1 into 1 5.034 * [taylor]: Taking taylor expansion of N in N 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify 1 into 1 5.034 * [backup-simplify]: Simplify (+ 0 1) into 1 5.034 * [backup-simplify]: Simplify (/ 1 1) into 1 5.035 * [backup-simplify]: Simplify (sqrt 0) into 0 5.036 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.037 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.037 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.038 * [backup-simplify]: Simplify (+ 1 0) into 1 5.039 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.042 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.049 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.049 * [backup-simplify]: Simplify (+ 0 0) into 0 5.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.069 * [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 5.069 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.069 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 5.070 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 5.070 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 5.070 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 5.070 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.070 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.070 * [taylor]: Taking taylor expansion of N in N 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify 1 into 1 5.070 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.070 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.070 * [taylor]: Taking taylor expansion of N in N 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify 1 into 1 5.070 * [backup-simplify]: Simplify (/ 1 1) into 1 5.070 * [taylor]: Taking taylor expansion of 1 in N 5.070 * [backup-simplify]: Simplify 1 into 1 5.071 * [backup-simplify]: Simplify (+ 1 0) into 1 5.071 * [backup-simplify]: Simplify (* 0 1) into 0 5.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.073 * [backup-simplify]: Simplify (+ 0 1) into 1 5.073 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.074 * [backup-simplify]: Simplify (sqrt 1) into 1 5.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.075 * [backup-simplify]: Simplify (+ 0 0) into 0 5.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.077 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.077 * [backup-simplify]: Simplify (log 1) into 0 5.077 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 5.077 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.077 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.077 * [taylor]: Taking taylor expansion of N in N 5.077 * [backup-simplify]: Simplify 0 into 0 5.077 * [backup-simplify]: Simplify 1 into 1 5.077 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.077 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.077 * [taylor]: Taking taylor expansion of N in N 5.077 * [backup-simplify]: Simplify 0 into 0 5.077 * [backup-simplify]: Simplify 1 into 1 5.078 * [backup-simplify]: Simplify (/ 1 1) into 1 5.078 * [taylor]: Taking taylor expansion of 1 in N 5.078 * [backup-simplify]: Simplify 1 into 1 5.078 * [backup-simplify]: Simplify (+ 1 0) into 1 5.079 * [backup-simplify]: Simplify (* 0 1) into 0 5.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.080 * [backup-simplify]: Simplify (+ 0 1) into 1 5.081 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.081 * [backup-simplify]: Simplify (sqrt 1) into 1 5.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.082 * [backup-simplify]: Simplify (+ 0 0) into 0 5.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.084 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.085 * [backup-simplify]: Simplify (log 1) into 0 5.085 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.086 * [backup-simplify]: Simplify 1/2 into 1/2 5.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.088 * [backup-simplify]: Simplify (+ 0 0) into 0 5.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.090 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.093 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.093 * [backup-simplify]: Simplify -1/4 into -1/4 5.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.095 * [backup-simplify]: Simplify (+ 0 0) into 0 5.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 5.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.103 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 5.103 * [backup-simplify]: Simplify 1/6 into 1/6 5.104 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 5.104 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 5.104 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 5.104 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 5.104 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.104 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.104 * [taylor]: Taking taylor expansion of -1 in N 5.104 * [backup-simplify]: Simplify -1 into -1 5.104 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.104 * [taylor]: Taking taylor expansion of N in N 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 1 into 1 5.104 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.104 * [taylor]: Taking taylor expansion of 1 in N 5.104 * [backup-simplify]: Simplify 1 into 1 5.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.104 * [taylor]: Taking taylor expansion of N in N 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 1 into 1 5.105 * [backup-simplify]: Simplify (/ 1 1) into 1 5.105 * [backup-simplify]: Simplify (- 1) into -1 5.106 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.106 * [backup-simplify]: Simplify (* 0 -1) into 0 5.107 * [backup-simplify]: Simplify (* -1 0) into 0 5.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.108 * [backup-simplify]: Simplify (- 0) into 0 5.108 * [backup-simplify]: Simplify (+ 1 0) into 1 5.109 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.110 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.110 * [backup-simplify]: Simplify (sqrt 1) into 1 5.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.112 * [backup-simplify]: Simplify (- 0) into 0 5.112 * [backup-simplify]: Simplify (+ 0 0) into 0 5.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.114 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.115 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.115 * [backup-simplify]: Simplify (log 1) into 0 5.115 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 5.115 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.115 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.115 * [taylor]: Taking taylor expansion of -1 in N 5.115 * [backup-simplify]: Simplify -1 into -1 5.115 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.115 * [taylor]: Taking taylor expansion of N in N 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 1 into 1 5.115 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.115 * [taylor]: Taking taylor expansion of 1 in N 5.115 * [backup-simplify]: Simplify 1 into 1 5.115 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.115 * [taylor]: Taking taylor expansion of N in N 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 1 into 1 5.116 * [backup-simplify]: Simplify (/ 1 1) into 1 5.116 * [backup-simplify]: Simplify (- 1) into -1 5.117 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.117 * [backup-simplify]: Simplify (* 0 -1) into 0 5.118 * [backup-simplify]: Simplify (* -1 0) into 0 5.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.119 * [backup-simplify]: Simplify (- 0) into 0 5.119 * [backup-simplify]: Simplify (+ 1 0) into 1 5.120 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.121 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.121 * [backup-simplify]: Simplify (sqrt 1) into 1 5.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.129 * [backup-simplify]: Simplify (- 0) into 0 5.130 * [backup-simplify]: Simplify (+ 0 0) into 0 5.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.132 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.133 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.133 * [backup-simplify]: Simplify (log 1) into 0 5.133 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 5.134 * [backup-simplify]: Simplify -1/2 into -1/2 5.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.136 * [backup-simplify]: Simplify (- 0) into 0 5.137 * [backup-simplify]: Simplify (+ 0 0) into 0 5.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.139 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.140 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 5.144 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.144 * [backup-simplify]: Simplify -1/4 into -1/4 5.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.145 * [backup-simplify]: Simplify (- 0) into 0 5.146 * [backup-simplify]: Simplify (+ 0 0) into 0 5.147 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.149 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 5.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 5.156 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 5.156 * [backup-simplify]: Simplify -1/6 into -1/6 5.157 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 5.157 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.157 * [backup-simplify]: Simplify (log (sqrt (/ (+ N 1) N))) into (log (sqrt (/ (+ N 1) N))) 5.157 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 5.157 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 5.157 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.157 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.157 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.157 * [taylor]: Taking taylor expansion of N in N 5.157 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify 1 into 1 5.157 * [taylor]: Taking taylor expansion of 1 in N 5.157 * [backup-simplify]: Simplify 1 into 1 5.157 * [taylor]: Taking taylor expansion of N in N 5.157 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify 1 into 1 5.158 * [backup-simplify]: Simplify (+ 0 1) into 1 5.158 * [backup-simplify]: Simplify (/ 1 1) into 1 5.159 * [backup-simplify]: Simplify (sqrt 0) into 0 5.160 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.161 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.161 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 5.161 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.161 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.161 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.161 * [taylor]: Taking taylor expansion of N in N 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify 1 into 1 5.161 * [taylor]: Taking taylor expansion of 1 in N 5.161 * [backup-simplify]: Simplify 1 into 1 5.161 * [taylor]: Taking taylor expansion of N in N 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify 1 into 1 5.162 * [backup-simplify]: Simplify (+ 0 1) into 1 5.162 * [backup-simplify]: Simplify (/ 1 1) into 1 5.162 * [backup-simplify]: Simplify (sqrt 0) into 0 5.164 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.164 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.165 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.165 * [backup-simplify]: Simplify (+ 1 0) into 1 5.166 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.169 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.176 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.176 * [backup-simplify]: Simplify (+ 0 0) into 0 5.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.196 * [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 5.196 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.197 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 5.197 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 N) 1) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 5.197 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 5.197 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 5.198 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.198 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.198 * [taylor]: Taking taylor expansion of N in N 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify 1 into 1 5.198 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.198 * [taylor]: Taking taylor expansion of N in N 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify 1 into 1 5.198 * [backup-simplify]: Simplify (/ 1 1) into 1 5.198 * [taylor]: Taking taylor expansion of 1 in N 5.198 * [backup-simplify]: Simplify 1 into 1 5.199 * [backup-simplify]: Simplify (+ 1 0) into 1 5.199 * [backup-simplify]: Simplify (* 0 1) into 0 5.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.200 * [backup-simplify]: Simplify (+ 0 1) into 1 5.201 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.201 * [backup-simplify]: Simplify (sqrt 1) into 1 5.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.202 * [backup-simplify]: Simplify (+ 0 0) into 0 5.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.204 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.204 * [backup-simplify]: Simplify (log 1) into 0 5.204 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 5.204 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.204 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.204 * [taylor]: Taking taylor expansion of N in N 5.204 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify 1 into 1 5.204 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.204 * [taylor]: Taking taylor expansion of N in N 5.204 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify 1 into 1 5.205 * [backup-simplify]: Simplify (/ 1 1) into 1 5.205 * [taylor]: Taking taylor expansion of 1 in N 5.205 * [backup-simplify]: Simplify 1 into 1 5.205 * [backup-simplify]: Simplify (+ 1 0) into 1 5.206 * [backup-simplify]: Simplify (* 0 1) into 0 5.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.207 * [backup-simplify]: Simplify (+ 0 1) into 1 5.207 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.208 * [backup-simplify]: Simplify (sqrt 1) into 1 5.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.209 * [backup-simplify]: Simplify (+ 0 0) into 0 5.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.211 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.211 * [backup-simplify]: Simplify (log 1) into 0 5.211 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.213 * [backup-simplify]: Simplify 1/2 into 1/2 5.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.214 * [backup-simplify]: Simplify (+ 0 0) into 0 5.215 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.216 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.219 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.219 * [backup-simplify]: Simplify -1/4 into -1/4 5.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.221 * [backup-simplify]: Simplify (+ 0 0) into 0 5.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 5.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.229 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 5.229 * [backup-simplify]: Simplify 1/6 into 1/6 5.230 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 5.230 * [backup-simplify]: Simplify (log (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 5.230 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 5.230 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 5.230 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.230 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.230 * [taylor]: Taking taylor expansion of -1 in N 5.230 * [backup-simplify]: Simplify -1 into -1 5.230 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.230 * [taylor]: Taking taylor expansion of N in N 5.230 * [backup-simplify]: Simplify 0 into 0 5.230 * [backup-simplify]: Simplify 1 into 1 5.230 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.230 * [taylor]: Taking taylor expansion of 1 in N 5.230 * [backup-simplify]: Simplify 1 into 1 5.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.230 * [taylor]: Taking taylor expansion of N in N 5.230 * [backup-simplify]: Simplify 0 into 0 5.230 * [backup-simplify]: Simplify 1 into 1 5.231 * [backup-simplify]: Simplify (/ 1 1) into 1 5.231 * [backup-simplify]: Simplify (- 1) into -1 5.232 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.232 * [backup-simplify]: Simplify (* 0 -1) into 0 5.233 * [backup-simplify]: Simplify (* -1 0) into 0 5.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.234 * [backup-simplify]: Simplify (- 0) into 0 5.234 * [backup-simplify]: Simplify (+ 1 0) into 1 5.235 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.236 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.236 * [backup-simplify]: Simplify (sqrt 1) into 1 5.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.238 * [backup-simplify]: Simplify (- 0) into 0 5.238 * [backup-simplify]: Simplify (+ 0 0) into 0 5.239 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.240 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.240 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.240 * [backup-simplify]: Simplify (log 1) into 0 5.240 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 5.240 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.240 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.240 * [taylor]: Taking taylor expansion of -1 in N 5.240 * [backup-simplify]: Simplify -1 into -1 5.240 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.240 * [taylor]: Taking taylor expansion of N in N 5.241 * [backup-simplify]: Simplify 0 into 0 5.241 * [backup-simplify]: Simplify 1 into 1 5.241 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.241 * [taylor]: Taking taylor expansion of 1 in N 5.241 * [backup-simplify]: Simplify 1 into 1 5.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.241 * [taylor]: Taking taylor expansion of N in N 5.241 * [backup-simplify]: Simplify 0 into 0 5.241 * [backup-simplify]: Simplify 1 into 1 5.241 * [backup-simplify]: Simplify (/ 1 1) into 1 5.241 * [backup-simplify]: Simplify (- 1) into -1 5.241 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.242 * [backup-simplify]: Simplify (* 0 -1) into 0 5.242 * [backup-simplify]: Simplify (* -1 0) into 0 5.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.243 * [backup-simplify]: Simplify (- 0) into 0 5.243 * [backup-simplify]: Simplify (+ 1 0) into 1 5.243 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.244 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.244 * [backup-simplify]: Simplify (sqrt 1) into 1 5.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.245 * [backup-simplify]: Simplify (- 0) into 0 5.245 * [backup-simplify]: Simplify (+ 0 0) into 0 5.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.246 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.247 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.247 * [backup-simplify]: Simplify (log 1) into 0 5.247 * [backup-simplify]: Simplify 0 into 0 5.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 5.248 * [backup-simplify]: Simplify -1/2 into -1/2 5.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.249 * [backup-simplify]: Simplify (- 0) into 0 5.249 * [backup-simplify]: Simplify (+ 0 0) into 0 5.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.251 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.251 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 5.253 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.253 * [backup-simplify]: Simplify -1/4 into -1/4 5.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.254 * [backup-simplify]: Simplify (- 0) into 0 5.254 * [backup-simplify]: Simplify (+ 0 0) into 0 5.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.256 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 5.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 5.260 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 5.260 * [backup-simplify]: Simplify -1/6 into -1/6 5.260 * [backup-simplify]: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 5.260 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.260 * [backup-simplify]: Simplify (sqrt (/ (+ N 1) N)) into (sqrt (/ (+ N 1) N)) 5.260 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 5.260 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.260 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.260 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.260 * [taylor]: Taking taylor expansion of N in N 5.260 * [backup-simplify]: Simplify 0 into 0 5.260 * [backup-simplify]: Simplify 1 into 1 5.260 * [taylor]: Taking taylor expansion of 1 in N 5.260 * [backup-simplify]: Simplify 1 into 1 5.260 * [taylor]: Taking taylor expansion of N in N 5.260 * [backup-simplify]: Simplify 0 into 0 5.260 * [backup-simplify]: Simplify 1 into 1 5.265 * [backup-simplify]: Simplify (+ 0 1) into 1 5.266 * [backup-simplify]: Simplify (/ 1 1) into 1 5.266 * [backup-simplify]: Simplify (sqrt 0) into 0 5.267 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.267 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.267 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.267 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.267 * [taylor]: Taking taylor expansion of N in N 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify 1 into 1 5.267 * [taylor]: Taking taylor expansion of 1 in N 5.267 * [backup-simplify]: Simplify 1 into 1 5.267 * [taylor]: Taking taylor expansion of N in N 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify 1 into 1 5.267 * [backup-simplify]: Simplify (+ 0 1) into 1 5.268 * [backup-simplify]: Simplify (/ 1 1) into 1 5.268 * [backup-simplify]: Simplify (sqrt 0) into 0 5.269 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.269 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.269 * [backup-simplify]: Simplify (+ 1 0) into 1 5.270 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.271 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.271 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.272 * [backup-simplify]: Simplify (+ 0 0) into 0 5.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.275 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.275 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 5.275 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 5.275 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 5.275 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.275 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.275 * [taylor]: Taking taylor expansion of N in N 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify 1 into 1 5.275 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.275 * [taylor]: Taking taylor expansion of N in N 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify 1 into 1 5.275 * [backup-simplify]: Simplify (/ 1 1) into 1 5.275 * [taylor]: Taking taylor expansion of 1 in N 5.275 * [backup-simplify]: Simplify 1 into 1 5.276 * [backup-simplify]: Simplify (+ 1 0) into 1 5.276 * [backup-simplify]: Simplify (* 0 1) into 0 5.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.277 * [backup-simplify]: Simplify (+ 0 1) into 1 5.277 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.277 * [backup-simplify]: Simplify (sqrt 1) into 1 5.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.278 * [backup-simplify]: Simplify (+ 0 0) into 0 5.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.279 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.279 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.279 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.279 * [taylor]: Taking taylor expansion of N in N 5.279 * [backup-simplify]: Simplify 0 into 0 5.279 * [backup-simplify]: Simplify 1 into 1 5.279 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.279 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.279 * [taylor]: Taking taylor expansion of N in N 5.280 * [backup-simplify]: Simplify 0 into 0 5.280 * [backup-simplify]: Simplify 1 into 1 5.280 * [backup-simplify]: Simplify (/ 1 1) into 1 5.280 * [taylor]: Taking taylor expansion of 1 in N 5.280 * [backup-simplify]: Simplify 1 into 1 5.280 * [backup-simplify]: Simplify (+ 1 0) into 1 5.281 * [backup-simplify]: Simplify (* 0 1) into 0 5.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.282 * [backup-simplify]: Simplify (+ 0 1) into 1 5.283 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.283 * [backup-simplify]: Simplify (sqrt 1) into 1 5.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.284 * [backup-simplify]: Simplify (+ 0 0) into 0 5.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.286 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.286 * [backup-simplify]: Simplify 1 into 1 5.286 * [backup-simplify]: Simplify 1/2 into 1/2 5.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.288 * [backup-simplify]: Simplify (+ 0 0) into 0 5.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.290 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.290 * [backup-simplify]: Simplify -1/8 into -1/8 5.290 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 5.290 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 5.290 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 5.290 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.290 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.290 * [taylor]: Taking taylor expansion of -1 in N 5.290 * [backup-simplify]: Simplify -1 into -1 5.290 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.291 * [taylor]: Taking taylor expansion of N in N 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.291 * [taylor]: Taking taylor expansion of 1 in N 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.291 * [taylor]: Taking taylor expansion of N in N 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [backup-simplify]: Simplify (/ 1 1) into 1 5.292 * [backup-simplify]: Simplify (- 1) into -1 5.292 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.292 * [backup-simplify]: Simplify (* 0 -1) into 0 5.293 * [backup-simplify]: Simplify (* -1 0) into 0 5.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.294 * [backup-simplify]: Simplify (- 0) into 0 5.295 * [backup-simplify]: Simplify (+ 1 0) into 1 5.295 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.296 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.297 * [backup-simplify]: Simplify (sqrt 1) into 1 5.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.298 * [backup-simplify]: Simplify (- 0) into 0 5.299 * [backup-simplify]: Simplify (+ 0 0) into 0 5.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.301 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.302 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.302 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.302 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.302 * [taylor]: Taking taylor expansion of -1 in N 5.302 * [backup-simplify]: Simplify -1 into -1 5.302 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.302 * [taylor]: Taking taylor expansion of N in N 5.302 * [backup-simplify]: Simplify 0 into 0 5.302 * [backup-simplify]: Simplify 1 into 1 5.302 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.302 * [taylor]: Taking taylor expansion of 1 in N 5.302 * [backup-simplify]: Simplify 1 into 1 5.302 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.302 * [taylor]: Taking taylor expansion of N in N 5.302 * [backup-simplify]: Simplify 0 into 0 5.302 * [backup-simplify]: Simplify 1 into 1 5.302 * [backup-simplify]: Simplify (/ 1 1) into 1 5.303 * [backup-simplify]: Simplify (- 1) into -1 5.303 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.304 * [backup-simplify]: Simplify (* 0 -1) into 0 5.304 * [backup-simplify]: Simplify (* -1 0) into 0 5.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.305 * [backup-simplify]: Simplify (- 0) into 0 5.306 * [backup-simplify]: Simplify (+ 1 0) into 1 5.307 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.307 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.308 * [backup-simplify]: Simplify (sqrt 1) into 1 5.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.309 * [backup-simplify]: Simplify (- 0) into 0 5.309 * [backup-simplify]: Simplify (+ 0 0) into 0 5.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.311 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.312 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.312 * [backup-simplify]: Simplify 1 into 1 5.312 * [backup-simplify]: Simplify -1/2 into -1/2 5.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.314 * [backup-simplify]: Simplify (- 0) into 0 5.314 * [backup-simplify]: Simplify (+ 0 0) into 0 5.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.317 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.318 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 5.318 * [backup-simplify]: Simplify -1/8 into -1/8 5.318 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 5.319 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 5.319 * [backup-simplify]: Simplify (sqrt (/ (+ N 1) N)) into (sqrt (/ (+ N 1) N)) 5.319 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 5.319 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.319 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.319 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.319 * [taylor]: Taking taylor expansion of N in N 5.319 * [backup-simplify]: Simplify 0 into 0 5.319 * [backup-simplify]: Simplify 1 into 1 5.319 * [taylor]: Taking taylor expansion of 1 in N 5.319 * [backup-simplify]: Simplify 1 into 1 5.319 * [taylor]: Taking taylor expansion of N in N 5.319 * [backup-simplify]: Simplify 0 into 0 5.319 * [backup-simplify]: Simplify 1 into 1 5.320 * [backup-simplify]: Simplify (+ 0 1) into 1 5.320 * [backup-simplify]: Simplify (/ 1 1) into 1 5.320 * [backup-simplify]: Simplify (sqrt 0) into 0 5.322 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.322 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 5.322 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 5.322 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.322 * [taylor]: Taking taylor expansion of N in N 5.322 * [backup-simplify]: Simplify 0 into 0 5.322 * [backup-simplify]: Simplify 1 into 1 5.322 * [taylor]: Taking taylor expansion of 1 in N 5.322 * [backup-simplify]: Simplify 1 into 1 5.322 * [taylor]: Taking taylor expansion of N in N 5.322 * [backup-simplify]: Simplify 0 into 0 5.322 * [backup-simplify]: Simplify 1 into 1 5.323 * [backup-simplify]: Simplify (+ 0 1) into 1 5.323 * [backup-simplify]: Simplify (/ 1 1) into 1 5.324 * [backup-simplify]: Simplify (sqrt 0) into 0 5.325 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.325 * [backup-simplify]: Simplify 0 into 0 5.325 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.326 * [backup-simplify]: Simplify (+ 1 0) into 1 5.327 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 5.330 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.330 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.331 * [backup-simplify]: Simplify (+ 0 0) into 0 5.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.336 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.336 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 5.336 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 N) 1) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 5.336 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 5.336 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.336 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.336 * [taylor]: Taking taylor expansion of N in N 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify 1 into 1 5.336 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.336 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.336 * [taylor]: Taking taylor expansion of N in N 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify 1 into 1 5.337 * [backup-simplify]: Simplify (/ 1 1) into 1 5.337 * [taylor]: Taking taylor expansion of 1 in N 5.337 * [backup-simplify]: Simplify 1 into 1 5.337 * [backup-simplify]: Simplify (+ 1 0) into 1 5.338 * [backup-simplify]: Simplify (* 0 1) into 0 5.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.339 * [backup-simplify]: Simplify (+ 0 1) into 1 5.340 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.340 * [backup-simplify]: Simplify (sqrt 1) into 1 5.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.341 * [backup-simplify]: Simplify (+ 0 0) into 0 5.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.343 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.343 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 5.343 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 5.343 * [taylor]: Taking taylor expansion of N in N 5.343 * [backup-simplify]: Simplify 0 into 0 5.343 * [backup-simplify]: Simplify 1 into 1 5.343 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.343 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.343 * [taylor]: Taking taylor expansion of N in N 5.343 * [backup-simplify]: Simplify 0 into 0 5.343 * [backup-simplify]: Simplify 1 into 1 5.343 * [backup-simplify]: Simplify (/ 1 1) into 1 5.343 * [taylor]: Taking taylor expansion of 1 in N 5.343 * [backup-simplify]: Simplify 1 into 1 5.344 * [backup-simplify]: Simplify (+ 1 0) into 1 5.344 * [backup-simplify]: Simplify (* 0 1) into 0 5.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.345 * [backup-simplify]: Simplify (+ 0 1) into 1 5.346 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 5.347 * [backup-simplify]: Simplify (sqrt 1) into 1 5.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.348 * [backup-simplify]: Simplify (+ 0 0) into 0 5.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 5.350 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.350 * [backup-simplify]: Simplify 1 into 1 5.350 * [backup-simplify]: Simplify 1/2 into 1/2 5.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.351 * [backup-simplify]: Simplify (+ 0 0) into 0 5.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 5.353 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.353 * [backup-simplify]: Simplify -1/8 into -1/8 5.354 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 5.354 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 5.354 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 5.354 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.354 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.354 * [taylor]: Taking taylor expansion of -1 in N 5.354 * [backup-simplify]: Simplify -1 into -1 5.354 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.354 * [taylor]: Taking taylor expansion of N in N 5.354 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify 1 into 1 5.354 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.354 * [taylor]: Taking taylor expansion of 1 in N 5.354 * [backup-simplify]: Simplify 1 into 1 5.354 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.354 * [taylor]: Taking taylor expansion of N in N 5.354 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify 1 into 1 5.355 * [backup-simplify]: Simplify (/ 1 1) into 1 5.355 * [backup-simplify]: Simplify (- 1) into -1 5.356 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.356 * [backup-simplify]: Simplify (* 0 -1) into 0 5.356 * [backup-simplify]: Simplify (* -1 0) into 0 5.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.358 * [backup-simplify]: Simplify (- 0) into 0 5.358 * [backup-simplify]: Simplify (+ 1 0) into 1 5.359 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.360 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.360 * [backup-simplify]: Simplify (sqrt 1) into 1 5.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.361 * [backup-simplify]: Simplify (- 0) into 0 5.361 * [backup-simplify]: Simplify (+ 0 0) into 0 5.362 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.363 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.364 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.364 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 5.364 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 5.364 * [taylor]: Taking taylor expansion of -1 in N 5.364 * [backup-simplify]: Simplify -1 into -1 5.364 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 5.364 * [taylor]: Taking taylor expansion of N in N 5.364 * [backup-simplify]: Simplify 0 into 0 5.364 * [backup-simplify]: Simplify 1 into 1 5.364 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.364 * [taylor]: Taking taylor expansion of 1 in N 5.364 * [backup-simplify]: Simplify 1 into 1 5.364 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.365 * [taylor]: Taking taylor expansion of N in N 5.365 * [backup-simplify]: Simplify 0 into 0 5.365 * [backup-simplify]: Simplify 1 into 1 5.365 * [backup-simplify]: Simplify (/ 1 1) into 1 5.365 * [backup-simplify]: Simplify (- 1) into -1 5.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.366 * [backup-simplify]: Simplify (* 0 -1) into 0 5.367 * [backup-simplify]: Simplify (* -1 0) into 0 5.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.367 * [backup-simplify]: Simplify (- 0) into 0 5.368 * [backup-simplify]: Simplify (+ 1 0) into 1 5.368 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 5.368 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 5.369 * [backup-simplify]: Simplify (sqrt 1) into 1 5.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.369 * [backup-simplify]: Simplify (- 0) into 0 5.370 * [backup-simplify]: Simplify (+ 0 0) into 0 5.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 5.371 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 5.371 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 5.371 * [backup-simplify]: Simplify 1 into 1 5.371 * [backup-simplify]: Simplify -1/2 into -1/2 5.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.372 * [backup-simplify]: Simplify (- 0) into 0 5.372 * [backup-simplify]: Simplify (+ 0 0) into 0 5.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.374 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 5.375 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 5.375 * [backup-simplify]: Simplify -1/8 into -1/8 5.375 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 5.375 * * * [progress]: simplifying candidates 5.375 * * * * [progress]: [ 1 / 134 ] simplifiying candidate # 5.375 * * * * [progress]: [ 2 / 134 ] simplifiying candidate # 5.375 * * * * [progress]: [ 3 / 134 ] simplifiying candidate # 5.375 * * * * [progress]: [ 4 / 134 ] simplifiying candidate # 5.375 * * * * [progress]: [ 5 / 134 ] simplifiying candidate # 5.375 * * * * [progress]: [ 6 / 134 ] simplifiying candidate # 5.375 * * * * [progress]: [ 7 / 134 ] simplifiying candidate # 5.375 * * * * [progress]: [ 8 / 134 ] simplifiying candidate # 5.375 * * * * [progress]: [ 9 / 134 ] simplifiying candidate # 5.375 * * * * [progress]: [ 10 / 134 ] simplifiying candidate # 5.375 * * * * [progress]: [ 11 / 134 ] simplifiying candidate # 5.375 * * * * [progress]: [ 12 / 134 ] simplifiying candidate # 5.375 * * * * [progress]: [ 13 / 134 ] simplifiying candidate # 5.375 * * * * [progress]: [ 14 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 15 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 16 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 17 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 18 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 19 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 20 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 21 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 22 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 23 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 24 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 25 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 26 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 27 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 28 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 29 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 30 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 31 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 32 / 134 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ (+ N 1) N)))))))> 5.376 * * * * [progress]: [ 33 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 34 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 35 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 36 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 37 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 38 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 39 / 134 ] simplifiying candidate # 5.376 * * * * [progress]: [ 40 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 41 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 42 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 43 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 44 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 45 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 46 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 47 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 48 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 49 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 50 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 51 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 52 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 53 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 54 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 55 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 56 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 57 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 58 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 59 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 60 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 61 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 62 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 63 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 64 / 134 ] simplifiying candidate #real (real->posit16 (log (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N)))))> 5.377 * * * * [progress]: [ 65 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 66 / 134 ] simplifiying candidate # 5.377 * * * * [progress]: [ 67 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 68 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 69 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 70 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 71 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 72 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 73 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 74 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 75 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 76 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 77 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 78 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 79 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 80 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 81 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 82 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 83 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 84 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 85 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 86 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 87 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 88 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 89 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 90 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 91 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 92 / 134 ] simplifiying candidate # 5.378 * * * * [progress]: [ 93 / 134 ] simplifiying candidate #real (real->posit16 (sqrt (/ (+ N 1) N)))))))> 5.379 * * * * [progress]: [ 94 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 95 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 96 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 97 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 98 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 99 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 100 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 101 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 102 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 103 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 104 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 105 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 106 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 107 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 108 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 109 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 110 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 111 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 112 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 113 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 114 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 115 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 116 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 117 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 118 / 134 ] simplifiying candidate # 5.379 * * * * [progress]: [ 119 / 134 ] simplifiying candidate # 5.380 * * * * [progress]: [ 120 / 134 ] simplifiying candidate # 5.380 * * * * [progress]: [ 121 / 134 ] simplifiying candidate # 5.380 * * * * [progress]: [ 122 / 134 ] simplifiying candidate #real (real->posit16 (sqrt (/ (+ N 1) N))))) (log (sqrt (/ (+ N 1) N)))))> 5.380 * * * * [progress]: [ 123 / 134 ] simplifiying candidate # 5.380 * * * * [progress]: [ 124 / 134 ] simplifiying candidate # 5.380 * * * * [progress]: [ 125 / 134 ] simplifiying candidate # 5.380 * * * * [progress]: [ 126 / 134 ] simplifiying candidate # 5.380 * * * * [progress]: [ 127 / 134 ] simplifiying candidate # 5.380 * * * * [progress]: [ 128 / 134 ] simplifiying candidate # 5.380 * * * * [progress]: [ 129 / 134 ] simplifiying candidate # 5.380 * * * * [progress]: [ 130 / 134 ] simplifiying candidate # 5.380 * * * * [progress]: [ 131 / 134 ] simplifiying candidate # 5.380 * * * * [progress]: [ 132 / 134 ] simplifiying candidate # 5.380 * * * * [progress]: [ 133 / 134 ] simplifiying candidate # 5.380 * * * * [progress]: [ 134 / 134 ] simplifiying candidate # 5.381 * [simplify]: Simplifying: (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ N 1) N)))) (log (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) (log (sqrt (cbrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1))) (log (sqrt (/ (cbrt (+ N 1)) N))) (log (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) 1))) (log (sqrt (/ (sqrt (+ N 1)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1) N))) (log (sqrt (+ N 1))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log 1) (log (sqrt (/ (+ N 1) N))) (log (sqrt (+ N 1))) (log (sqrt N)) (log (/ (+ N 1) N)) (log (sqrt (/ (+ N 1) N))) (log (/ (+ N 1) N)) (log (log (sqrt (/ (+ N 1) N)))) (exp (log (sqrt (/ (+ N 1) N)))) (* (cbrt (log (sqrt (/ (+ N 1) N)))) (cbrt (log (sqrt (/ (+ N 1) N))))) (cbrt (log (sqrt (/ (+ N 1) N)))) (* (* (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N)))) (sqrt (log (sqrt (/ (+ N 1) N)))) (sqrt (log (sqrt (/ (+ N 1) N)))) (real->posit16 (log (sqrt (/ (+ N 1) N)))) (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ N 1) N)))) (log (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))))) (log (sqrt (cbrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1))) (log (sqrt (/ (cbrt (+ N 1)) N))) (log (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1)) 1))) (log (sqrt (/ (sqrt (+ N 1)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1) N))) (log (sqrt (+ N 1))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ N 1) N)))) (log 1) (log (sqrt (/ (+ N 1) N))) (log (sqrt (+ N 1))) (log (sqrt N)) (log (/ (+ N 1) N)) (log (sqrt (/ (+ N 1) N))) (log (/ (+ N 1) N)) (log (log (sqrt (/ (+ N 1) N)))) (exp (log (sqrt (/ (+ N 1) N)))) (* (cbrt (log (sqrt (/ (+ N 1) N)))) (cbrt (log (sqrt (/ (+ N 1) N))))) (cbrt (log (sqrt (/ (+ N 1) N)))) (* (* (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N)))) (sqrt (log (sqrt (/ (+ N 1) N)))) (sqrt (log (sqrt (/ (+ N 1) N)))) (real->posit16 (log (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ N 1) N))) (exp (sqrt (/ (+ N 1) N))) (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N)))) (cbrt (sqrt (/ (+ N 1) N))) (* (* (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N))) (sqrt (/ (+ N 1) N))) (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (sqrt (cbrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (sqrt (/ (cbrt (+ N 1)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (sqrt (/ (cbrt (+ N 1)) N)) (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1)) (cbrt N))) (sqrt (/ (sqrt (+ N 1)) (sqrt N))) (sqrt (/ (sqrt (+ N 1)) (sqrt N))) (sqrt (/ (sqrt (+ N 1)) 1)) (sqrt (/ (sqrt (+ N 1)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1) N)) (sqrt 1) (sqrt (/ (+ N 1) N)) (sqrt (+ N 1)) (sqrt (/ 1 N)) (sqrt (+ N 1)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (real->posit16 (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (exp (sqrt (/ (+ N 1) N))) (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N)))) (cbrt (sqrt (/ (+ N 1) N))) (* (* (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N))) (sqrt (/ (+ N 1) N))) (sqrt (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (sqrt (cbrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (sqrt (/ (cbrt (+ N 1)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (sqrt (/ (cbrt (+ N 1)) N)) (sqrt (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1)) (cbrt N))) (sqrt (/ (sqrt (+ N 1)) (sqrt N))) (sqrt (/ (sqrt (+ N 1)) (sqrt N))) (sqrt (/ (sqrt (+ N 1)) 1)) (sqrt (/ (sqrt (+ N 1)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1) N)) (sqrt 1) (sqrt (/ (+ N 1) N)) (sqrt (+ N 1)) (sqrt (/ 1 N)) (sqrt (+ N 1)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ N 1) N))) (real->posit16 (sqrt (/ (+ N 1) N))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 5.383 * * [simplify]: iteration 0: 124 enodes 5.414 * * [simplify]: iteration 1: 202 enodes 5.471 * * [simplify]: iteration 2: 449 enodes 5.650 * * [simplify]: iteration 3: 1444 enodes 6.079 * * [simplify]: iteration complete: 5001 enodes 6.079 * * [simplify]: Extracting #0: cost 65 inf + 0 6.080 * * [simplify]: Extracting #1: cost 177 inf + 3 6.087 * * [simplify]: Extracting #2: cost 1605 inf + 272 6.108 * * [simplify]: Extracting #3: cost 1174 inf + 56013 6.143 * * [simplify]: Extracting #4: cost 222 inf + 165935 6.184 * * [simplify]: Extracting #5: cost 65 inf + 198226 6.249 * * [simplify]: Extracting #6: cost 10 inf + 210378 6.290 * * [simplify]: Extracting #7: cost 1 inf + 212292 6.342 * * [simplify]: Extracting #8: cost 0 inf + 212545 6.399 * [simplify]: Simplified to: (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) (log (cbrt (sqrt (/ (+ 1 N) N)))) (log (fabs (cbrt (/ (+ 1 N) N)))) (log (sqrt (cbrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (fabs (/ (cbrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (cbrt (+ 1 N)) (cbrt N)))) (log (sqrt (* (cbrt (+ 1 N)) (/ (cbrt (+ 1 N)) (sqrt N))))) (log (sqrt (/ (cbrt (+ 1 N)) (sqrt N)))) (log (fabs (cbrt (+ 1 N)))) (log (sqrt (/ (cbrt (+ 1 N)) N))) (log (sqrt (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ 1 N)) (cbrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (/ (sqrt (+ 1 N)) (sqrt N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (/ (sqrt (+ 1 N)) N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1 N) (sqrt N)))) 0 (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (/ 1 (cbrt N)) (cbrt N)))) (log (sqrt (/ (+ 1 N) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ 1 N) (sqrt N)))) 0 (log (sqrt (/ (+ 1 N) N))) 0 (log (sqrt (/ (+ 1 N) N))) (log (sqrt (+ 1 N))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ 1 N) N)))) (log (sqrt (sqrt (/ (+ 1 N) N)))) 0 (log (sqrt (/ (+ 1 N) N))) (log (sqrt (+ 1 N))) (log (sqrt N)) (log (/ (+ 1 N) N)) (log (sqrt (/ (+ 1 N) N))) (log (/ (+ 1 N) N)) (log (log (sqrt (/ (+ 1 N) N)))) (sqrt (/ (+ 1 N) N)) (* (cbrt (log (sqrt (/ (+ 1 N) N)))) (cbrt (log (sqrt (/ (+ 1 N) N))))) (cbrt (log (sqrt (/ (+ 1 N) N)))) (* (log (sqrt (/ (+ 1 N) N))) (* (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) 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